on june 1st, 2020, the distribution of new covid-19 cases by county had a mean of 7.29 and a standard deviation of 110.87. a dedicated but naive cdc analyst decides to model this data using a normal distribution. in other words, letting x be the number of new covid-19 cases in a county, our analyst models the county-level new case counts as x ~ normal(7.29, 110.87). for the following questions, pretend you are the cdc analyst, modeling new case counts as normal(7.29, 110.87) question: orange county, ca had 178 new cases on june 1st. calculate a z-score for the new case count in orange county.

Answers

Answer 1

To calculate the z-score for the new case count in Orange County, we use the formula:
z = (x - μ) / σ
where x is the value we are calculating the z-score for, μ is the mean of the distribution, and σ is the standard deviation of the distribution.

Plugging in the values given in the question, we get:
z = (178 - 7.29) / 110.87
z = 170.71 / 110.87
z = 1.54
So the z-score for the new case count in Orange County is 1.54. This means that the new case count in Orange County is 1.54 standard deviations above the mean of the distribution.

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Related Questions

I have 1,792 Pokémon cards, I also have 7 friends. I want to split the cards between me and the 7 of them. How many cards should each person get? Does the answer of this question has a remainder? Solve and Explain how you got your answer

Answers

We can confirm that each person should receive exactly 224 Pokémon cards, and there won't be any cards left over.

To split the 1,792 Pokémon cards equally between 8 people, including yourself and your 7 friends, you need to divide the total number of cards by the number of people:

1,792 cards ÷ 8 people = 224 cards per person.

So each person should get 224 Pokémon cards.

However, we should also check if there is a remainder after the division. To do that, we can multiply the number of cards each person is getting by the number of people and subtract it from the total number of cards:

224 cards/person x 8 people = 1,792 cards

1,792 cards - 1,792 cards = 0 remainder

Since there is no remainder, we can confirm that each person should receive exactly 224 Pokémon cards, and there won't be any cards left over.

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on a scale drawing, 1/4 in =2 foot. what are the dimensions on the scale for a room that is 27 ft by 20 ft​

Answers

i cant fully answer it but i know the steps,

(the link is how you would set it up)

you can replace x with 20 or 27, i would start 20

The cooler at a picnic contained 4 apple juice boxes, 8 orange juice boxes, and 6 fruit punch juice boxes. a juice box is selected at random. what is the probability of the complement of choosing an orange juice box?
a. startfraction 1 over 18 endfraction
b. startfraction 4 over 9 endfraction
c. startfraction 5 over 9 endfraction
d. startfraction 17 over 18 endfraction

Answers

The probability of the complement of choosing an orange juice box is 17/18. (option d)

The complement of an event is the probability of that event not occurring. In this case, the event is choosing an orange juice box, so the complement is choosing any other juice box (i.e., an apple juice box or a fruit punch juice box).

The total number of juice boxes in the cooler is:

4 + 8 + 6 = 18

The number of juice boxes that are not orange juice boxes is:

4 + 6 = 10

Therefore, the probability of choosing a juice box that is not an orange juice box (i.e., the complement of choosing an orange juice box) is:

10/18 = 5/9

But the question asks for the probability of the complement, which is the probability of not choosing a juice box that is not an orange juice box. This is simply:

1 - 5/9 = 4/9

However, the question asks for the probability of the complement of choosing an orange juice box, not the complement of not choosing an orange juice box. These two probabilities are equal, since the event and its complement always add up to 1. Therefore, the probability of the complement of choosing an orange juice box is:

1 - 8/18 = 10/18 = 17/18

Therefore, the probability of the complement of choosing an orange juice box is 17/18.

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Liz spent her summer break working at Wild Lakes waterpark. At the end of the summer, she put $570 of her earnings into a savings account that earns 1% interest each year.

Answers

The total simple interest earned by Liz at the end of 5 years is found as: $28.5

Explain about the simple interest?

A straightforward but effective idea. Very simply: interest is the benefit for saving - and the penalty of borrowing.

When you deposit funds into a savings account, you are paid interest, or additional money on top. The reason for this is that the bank gives you interest for letting them use your money.When someone owes money, they are assessed this fee. It indicates the time worth of money and is charged in relation to the principal sum. It is the prize for holding out and refusing to accept an early reward.

Principal P = $570

Interest r = 1%

Time t = 5 years.

SI = P*R*t / 100

SI = 570*1*5 / 100

SI = 28.5

Thus, the total simple interest earned by Liz at the end of 5 years is found as: $28.5.

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The complete question is-

Liz spent her summer break working at Wild Lakes waterpark. At the end of the summer, she put $570 of her earnings into a savings account that earns 1% interest each year. Find her simple interest after 5 years.

Noah wants to share a certain amount of money with 10 people. However,at the last minute,he is thinking about decreasing the amount by 20 so he can keep 20 for himself and share the money with only 5 people. How much money is Noah trying to share if each person still gets the same
amount

Answers

The money is Noah wants to share  with people if each person still gets the same amount is 4.

Explain about the substitution method?

The algebraic approach to solving simultaneous linear equations is known as substitution method.

The value of one variable through one equation is substituted in the second equation in this procedure, as the name implies.It is only useful if the change of variable explains the situation and, ideally, makes it possible to solve the problem once it has been simplified. First, considering a situation in which variables exist, a substitution is simply a change of variable.

Let the total amount Noah have be'y'.

The initial amount shared by Noah among 10 people be 'x'.

Then,

y = 10x

But,

Amount shared is decreased by 20, ans sharing with 5 people.

Then,

y - 20 = 5x

Put value of y.

10x = 5x + 20

On solving;

x = 20/5

x = 4

Thus, money is Noah wants to share  with people if each person still gets the same amount is 4.

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PLEASE HELP NEED DETAILED WORD ANSWER I CAN USE
WILL MARK BRAINLIEST

please dont use for points or I will report
sorry!

Answers

Given the following question:

We have 60 balloons in total

4/12 of the balloons are black

3/12 of the balloons are white

We are trying to find the amount of red balloons Carter has:

Let...

B = black

W = white

R = red

[tex]B=(\dfrac{4}{12}) \times60=20[/tex]

         [tex]B=20[/tex]

[tex]W=(\dfrac{3}{12}) \times60=15[/tex]

     [tex]20+15=35[/tex]

     [tex]60-35=25[/tex]

         [tex]R=25[/tex]

Carter has 25 red balloons

A
B
Which of the following graphs will
display the narrowest parabola?
y = -2x²+x+3
f(x) = -4x² - 30x

Answers

A graph that would display the narrowest parabola is f(x) = -4x² - 30x.

How to determine the equation of a parabola?

In Mathematics, the standard equation of the directrix lines for any parabola can be modeled or represented by the following mathematical expression:

y = a(x - h)² + k.

Where:

h and k are the vertex.a represents the leading coefficient.

Generally speaking, the larger the absolute value of the leading coefficient of a quadratic function, the narrower would be graph of its parabola.

In this context, we have the following:

y = -2x²+x+3; a = -2

f(x) = -4x² - 30x; a = -4

|a| = |-2| = 2

|a| = |-4| = 4

Therefore, |-2| is less than |-4|.

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a person is selected at random during the republican national convention. suppose the probability that the person selected is a woman is 38%, the probability that the person selected is tall is 54%, and the probability that the person selected is left-handed is 11%. assume that being female, tall, and left-handed are independent of each other. what is the probability that the person selected is a tall, left-handed woman?

Answers

The probability that the person selected is a tall, left-handed woman is 0.02.

Given that, The probability that the person selected is a woman is P(W) = 38% = 0.38

The probability that the person selected is tall is P(T) = 54% = 0.54

The probability that the person selected is left-handed is P(L) = 11% = 0.11

It is given that the events W, T, and L are independent of each other. Therefore, their joint probability is given by:

P(W ∩ T ∩ L) = P(W) × P(T) × P(L) = 0.38 × 0.54 × 0.11 = 0.02292

Now, the probability that the person selected is a tall, left-handed woman is given by:

P(T ∩ L ∩ W) = P(W ∩ T ∩ L) = 0.02292 = 0.02

Therefore, the probability that the person selected is a tall, left-handed woman is 0.02.

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Find the smallest value of n such that Sn lies within the distance 70 x 10^-6 of the true sum

Answers

Answer:

0.00007

Step-by-step explanation:

PLS HELP ME QUICK!!!

Answers

Relation 2 and 3 are actual functions with proper domain, co domain, range.

Describe Function?

A function can be represented in several ways, including using algebraic expressions, tables, graphs, or even words. For example, the function f(x) = 2x + 1 defines a relationship between the input x and the output 2x + 1. If we input x = 3 into this function, the output would be f(3) = 2(3) + 1 = 7.

Functions can have different properties, such as being continuous or discontinuous, being differentiable or nondifferentiable, or having maximum or minimum values. Functions can also be classified according to their types, such as linear, quadratic, exponential, logarithmic, trigonometric, or piecewise-defined functions.

Functions are used extensively in mathematics, science, engineering, economics, and many other fields to describe real-world phenomena and to solve practical problems. They are also studied in their own right, as objects of mathematical interest and beauty, with deep connections to many other areas of mathematics, such as calculus, analysis, and algebra

Relation 2 and 3 are actual functions with proper domain, co domain, range.

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Ballet is one of the most widely performed types of concert dance. Each year, thousands of people flood t
Choreographers plan each movement and step the dancers make. Countless hours of preparation go into pra
Classical ballet is a very difficult dance style to master. It strictly follows traditional ballet technique. Dancer
and artistically express routines. Good technique requires that dancers have proper alignment. Dancers' head
perfectly. Ballet places a lot of emphasis on the lines of the body. "Good lines" are a combination of the body a
from training.
The proper positioning of the feet is especially important to ballet dancing. Turnout is the basis for all ballet
outward from the hips down, and the knee and foot are turned away from the center of the body. A perfect turnc
feet when the dancer is in first position with his or her heels touching. The knees are also supposed to touch, a
One of the most recognizable classical ballet techniques is en pointe dancing. This skill requires that dancer
the tips of their toes for extended periods of time. It takes a lot of training and strength to dance en pointe. The e
abdominal muscles-is used for this technique. Dancers can injure themselves or permanently damage their fee
What does the word lines most likely mean as it is used in this passage?
A. use of abdominal muscles
OB. ability to follow routines
OC.
arrangement of the body
avoiding injury to the body
D.

Answers

The correct option for this question is C. arrangement of the body.

Why it is?

Based on the given passage, the word "lines" most likely refers to the arrangement of the body in ballet dancing. The passage states that "Ballet places a lot of emphasis on the lines of the body" and that "Good lines" in ballet are a combination of the body alignment and artistic expression.

It also mentions that proper positioning of the feet is important for achieving good lines and that turnout, which is the outward rotation of the hips and knees, is the basis for all ballet movements.

Therefore, "lines" in this context is referring to the visual lines created by the dancer's body and limbs in ballet dance, which are essential to proper technique and artistic expression.

Therefore, the correct answer is C. arrangement of the body.

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If c is 6x6 and the equation cx = v is consistent for every v in r^6, is it possible that for some v, the equation cx = v has more than one solution?

Answers

It is nοt pοssible that fοr sοme v, the equatiοn cx = v has mοre than οne sοlutiοn if c is invertible.

What is the inverse?  

Inverse οperatiοns are οppοsite οperatiοns that undο each οther. Fοr example, 5 ✕ 2 = 10 and 10 ÷ 2 = 5 are inverse οperatiοns.

If the equatiοn cx = v is cοnsistent fοr every v in R⁶, it means that the matrix c is invertible, οr has a unique sοlutiοn fοr every v.

This is because if c is nοt invertible, then there exist sοme vectοrs v in R⁶ fοr which the equatiοn cx = v has nο sοlutiοn οr has infinitely many sοlutiοns.

If c is invertible, then fοr any vectοr v in R⁶, the equatiοn cx = v has a unique sοlutiοn given by

[tex]x = c^{( 1 )} v[/tex], where [tex]c^{(1)}v[/tex]

is the inverse οf c.

Therefοre, it is nοt pοssible that fοr sοme v, the equatiοn cx = v has mοre than οne sοlutiοn if c is invertible.

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Martha likes to knit hats and mittens for friends and family. Last fall, she knitted 3 hats and 3
pairs of mittens, which took a total of 51 hours. This fall, she knitted 3 hats and 5 pairs of
mittens, which took a total of 77 hours. If each hat takes the same amount of time and each
pair of mittens takes the same time, how long does it take Martha to knit each item?
hours to knit a pair of mittens.
It takes Martha
hours to knit a hat and

Answers

It takes Martha `4` hours to knit each hat and `13` hours to knit each pair of mittens.

What is meant by hours?

Hours are a unit of time used to measure the duration of an event or activity. An hour is equal to 60 minutes or 3,600 seconds. It is often used to indicate the time of day or to schedule appointments or events.

What is a pair?

A pair is a set of two things that go together or belong together, like a pair of shoes, socks, or gloves. It can also refer to a pair, a duo, or a twosome.

According to the given question

Let's assume that each hat takes `h` hours to knit and each pair of mittens takes `m` hours to knit.

From the given information, we know that:

- 3 hats and 3 pairs of mittens took a total of 51 hours. This means that 3h + 3m = 51.

- 3 hats and 5 pairs of mittens took a total of 77 hours. This means that 3h + 5m = 77.

We can use these two equations to solve for `h` and `m`.

First, let's solve for `h` by multiplying the first equation by 5 and the second equation by 3, and then subtracting the second equation from the first:

15h + 15m = 255

9h + 15m = 231

-----------------

6h = 24

h = 4

So each hat takes Martha `4` hours to knit.

Now we can use either of the original equations to solve for `m`. Let's use the first one:

3h + 3m = 51

3(4) + 3m = 51

12 + 3m = 51

3m = 39

m = 13

So each pair of mittens takes Martha `13` hours to knit.

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0.0005 × 0.007
————————-
0.01

Answers

Answer:

0.00035

Step-by-step explanation:

0.0005×0.007 ×100

—————-------

1

0.0000035 ×100

0.00035

Coins are placed into a treasure chest, and each coin has a radius of 1.4 inches and a height of 0.0625 inches. If there are 230 coins inside the treasure chest, how many cubic inches of the treasure chest is taken up by the coins? Round to the nearest hundredth and approximate using π = 3.14.

Answers

Answer: 32.2 cubic inches

Step-by-step explanation:

 The volume of one coin can be calculated using the formula for the volume of a cylinder: V = πr^2h, where r is the radius and h is the height.

Substituting the given values, we get:

V = π(1.4)^2(0.0625)

V ≈ 0.14 cubic inches (rounded to the nearest hundredth)

To find the total volume of all the coins, we can multiply the volume of one coin by the number of coins:

Total volume = 230 × 0.14

Total volume ≈ 32.2 cubic inches (rounded to the nearest hundredth)

Therefore, the coins take up approximately 32.2 cubic inches of the treasure chest.

X-intercept:

y-intercept:

y

1

9

8

7

6

5

NO 10

4

3

2-

1

x

-9-8-7 -6 -5 -4 -3 -2

1

2 3 4 5 6 7 8 9

CON

-2

-3

-4

-5

-6

-7

-8

-9

Answers

Answer: diffrent form so i can help you better

Step-by-step explanation:

You take a package to the local shipping company. They charge a fixed base cost of $3 per package plus an additional $0. 63 per pound. If P represents the number of pounds of your package, and C is the total cost of shipping your package, write an equation that represents the relationship between P and C

Answers

If P represents the number of pounds of your package, and C is the total cost of shipping your package, the equation that represents the relationship between P and C is C = 3 + 0.63P.

To write an equation that represents the relationship between the weight of the package (P) and the total cost of shipping (C), we need to use the information given in the problem. The shipping company charges a fixed base cost of $3 per package plus an additional $0.63 per pound.

We can represent the additional cost per pound as 0.63P, since the cost increases by $0.63 for every additional pound. Therefore, the equation that represents the relationship between P and C is:

C = 3 + 0.63P

This equation gives us the total cost of shipping a package based on its weight. We can use this equation to calculate the cost of shipping a package of any weight by simply plugging in the weight (in pounds) for P and then solving for C.

For example, if a package weighs 5 pounds, we can substitute P = 5 into the equation to get:

C = 3 + 0.63(5)

C = 3 + 3.15

C = 6.15

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Please ASAP Help
Will mark brainlest due at 12:00​

Answers

The coordinates of the midpoint of the given segment is; (-15, 4)

How to find the midpoint of the coordinates?

For any specific line segment, it is well known that the midpoint is defined as the halfway between its two endpoints. The expression that is used to find the x-coordinate of that midpoint is expressed as: [(x)1 + (x)2]/2, which denotes the average of the x-coordinates. Similarly, the expression that is used to find the y-coordinate of that midpoint is expressed as: [(y)1 + (y)2]/2, which is the average of the y-coordinates.

We are given the coordinates of the endpoints of the line as;

K(-11, 2) and L(-19, 6)

Thus;

Midpoint Coordinate = (-11 - 19)/2, (2 + 6)/2

= (-15, 4)

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here are six numbers
-7 -5 -3 3 1 -1
arrange the cards into three pairs with the same total

Answers

Answer:

-7 and 3

-5 and 1

-3 and -1

Step-by-step explanation:

-7 + 3 = -4

-5 + 1 = -4

-3 + -1 = -4

I think this should be the answer
-7+3=-4
-5+1=-4
-3-1=-4

Productivity for a small country was 25 units per worker hour in 2011. Productivity increased 20 percent between 2011 and 2016. What was the productivity figure for 2016? If the rate of increase is maintained, what will the figure be in 2021? In 2026?

Answers

Answer:

525 units

Step-by-step explanation:

firsat find a 1% increase

25/100 = 0.25

multiply this by 20 (per 5 years) and add to the original amount

0.25 x 20 = 500

500+25 = 525

This is your answer, and you just repeat this process for each year

Olivia and Kalina are running a lemonade stand for one weekend. They sell lemonade for $0. 75

per cup. On Saturday, they sell 37 cups. For the weekend, they want to make at least $45. 00 in

sales on lemonade. Let c be the number of cups they sell Sunday,

If they sell 12 cups on Sunday will they reach their goal? Show this work on your paper and use it

to help you answer the next question. *

Answers

Yes, they will reach their goal of $45.00 by selling 12 cups of lemonade on Sunday.

Yes, they will reach their goal. To calculate this we can use the following formula:

Total Sales = (Number of cups sold on Saturday × Price per cup) + (Number of cups sold on Sunday × Price per cup)

Total Sales = (37 × 0.75) + (12 × 0.75)

Total Sales = 27.75 + 9

Total Sales = 36.75

Since 36.75 is greater than the goal of 45.00, they will reach their goal. This can be further verified by looking at the total cost of the cups they sold. 37 cups sold on Saturday at $0.75 each will cost $27.75. Adding the 12 cups sold on Sunday at $0.75 each will cost $9, bringing the total cost of the cups sold to $36.75. This is the same amount that was calculated using the formula above. Therefore, they will reach their goal by selling 12 cups of lemonade on Sunday.

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According to cavalieri's principle, which pair of shapes would have equal volumes?

Answers

Two shapes would have equal volumes if the areas of their corresponding cross-sections are equal at every height.

According to Cavalieri's principle, two shapes have equal volumes if for every pair of parallel cross-sections taken at the same height, the areas of the cross-sections are equal.

1. Two cylinders with the same height and different radii.

  As long as the cross-sectional areas of the cylinders at each height are the same, the volumes will be equal. The radii of the cylinders can vary.

2. Two cones with the same height and different base radii.

  Similar to cylinders, as long as the cross-sectional areas of the cones at each height are the same, the volumes will be equal.

3. Two prisms with the same height and different base shapes.

  If two prisms have the same height and the cross-sectional areas at each height are equal, then the volumes will be equal.

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SOMEBODY PLEASE SEE THIS AND HELP ME IN STUCK​

Answers

Answer:

population: 2,900,904.279

Step-by-step explanation:

You need to calculate the total area first. The figure is made from 2 smaller figures.

Area for the top figure = 159 x (345 - 276) = 159 x 69 = 10971

Area for the bottom figure = 265 x 276 = 73140

Total are = 10971 + 73140 = 84111 mi^2

so you have 34.489 people/mi^2 =>

34.489 x 84111 = 2,900,904.279 people

form A line has a slope of -4 and a y-intercept of 2. Write its equation in slope-intercept form Write your answer using integers, proper fractions, and improper fractions in simplest​

Answers

Answer: Y= -4x + 2

Step-by-step explanation:

The slope intercept equation is y = mx + b

The slope or m in this situation is -4

The y- intercept or b is 2

When you substitute then slope and y-intercept into the equation you get

Y = -4x + 2

Last question...this is geometry. 15 points to whoever gets it right and can explain

Answers

Answer: x=10

Step-by-step explanation:

sum of all the angles inside triangle is equal to 180degrees.

First angle: 9x-16

Second angle: 7x-5

Third angle: 3x+11

let's sum this angles:

9x-16+7x-5+3x+11=19x-10=180

19x=180+10=190

x=190/19=10

J(7,2)k(-4,9),l(-3,-1)
Classify triangle

Answers

The triangle fοrmed by J(7,2), K(-4,9), and L(-3,-1) is a scalene οbtuse triangle.

What is scalene οbtuse triangle?

A triangle is said tο be οbtuse scalene in geοmetry if οne οf its angles is larger than 90 degrees but less than 180 degrees, while the οther twο angles are bοth less than 90 degrees. Measurements fοr the three sides and angles vary.

Tο classify the triangle fοrmed by the pοints J(7,2), K(-4,9), and L(-3,-1), we need tο find the lengths οf its sides and apply the triangle classificatiοn criteria.

Using the distance fοrmula, we can find the lengths οf the sides:

[tex]JK = \sqrt{[(7 - (-4))^2 + (2 - 9)^2]} \\JK =\sqrt{ (11^2 + (-7)^2)} \\ JK =\sqrt{170} \\KL = \sqrt{[(-4 - (-3))^2 + (9 - (-1))^2]} \\KL =\sqrt{ (1^2 + 10^2) } \\KL = \sqrt{101} \\LJ = \sqrt{[(-3 - 7))^2 + ((-1) - 2)^2]} \\LJ=\sqrt{ (10^2 + (-3)^2)} \\LJ = \sqrt{109}[/tex]

Since all three sides have different lengths, the triangle is scalene.

Therefοre, the triangle fοrmed by J(7,2), K(-4,9), and L(-3,-1) is a scalene οbtuse triangle.

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4. Divide N275.00 among Eno and Musa so that for every N2.00 Eno gets, Musa gets N3.00. What are their shares? bags in such a way that one bag is twice as heavy​

Answers

The shares of Eno and Musa in gained dividends are: R 110 and R 165 respectively.

Explain about the ratios of the number?A/B would be your formula if you were making comparisons one data point (A) to this other data point (B). This indicates that you are multiplying knowledge A by data B. For instance, your ratio will just be 5/10 if A is 5 and B is 10. Make the equation work. To calculate your ratio, divide data It by a data B.

Total amount : R 275.00

Ratio of Eno to Musa = R 2.00 / R3.00

So,

Total ratio: 2 + 3 = 5

Then,

Eno's share = 2/5*275

Eno's share = R 110

Similarly,

Musa's share = 3/5*275

Musa's share = R 165

Thus, the shares of Eno and Musa in gained dividends are: R 110 and R 165 respectively.

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6=5/3​y
pls help me get this answer nowwww uwuwu

Answers

Answer:

exact form: [tex]\frac{18}{5}[/tex]

decimal form: 3.6

mixed number form: [tex]3\frac{3}{5}[/tex]

Answer:

y=18/5

Step-by-step explanation:

6=5y/3

multiply both sides:

6*3=5y

simplify 6*3 to 18:

18=5y

divide both sides by 5:

18/5=y

answer: y=18/5

A bicycle shop equips 60% of their bikes with a water bottle holder. 55% of the bikes they sell have a kickstand attached to the bike. 34% of the bikes sold have both

features. What is the probability that a randomly selected bicycle will have a kickstand or a water bottle holder?

Hurry

Answers

The probability that a randomly selected bicycle from a bicycle shop will have either a water bottle holder or a kickstand is 95%, calculated by adding the probabilities of each component being present and subtracting the probability of both being present.

The probability that a randomly selected bicycle from a bicycle shop will have either a water bottle holder or a kickstand is 95%. To calculate this, we first need to consider the probability that a bicycle has a water bottle holder, which is 60%. The probability that the bicycle has a kickstand is 55%. Then, the probability of a bicycle having both a kickstand and a water bottle holder together is the product of the individual probabilities, which is 34%. Thus, the probability that a randomly selected bicycle will have either a water bottle holder or a kickstand is 60% + 55% - 34% = 95%.

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Simplifying positive expressions in multiplication.
Simplify.
(-2b^4a)^5
Write your answer without parentheses.

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Answer:

_2⁵b⁴*⁵a⁵

Answer=_32b²⁰a⁵

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