The margin of error would tell how many percentage differs from Harris County's sample
The range of reasonable means for Harris County's sample is 77.7 to 82.3
How to determine the range?The given parameters are:
Population mean, [tex]\mu = 76[/tex]Population standard deviation, [tex]\sigma = 11[/tex]Sample mean, [tex]\bar x = 80[/tex]Margin of error , [tex]E = 2.3[/tex]The range (R) is calculated as:
[tex]R = \bar x \pm E[/tex]
Substitute known values
[tex]R = 80 \pm 2.3[/tex]
Expand
[tex]R = (80 - 2.3,80 + 2.3)[/tex]
Evaluate the difference and sum
[tex]R = (77.7,82.3)[/tex]
Hence, the range of reasonable means for Harris County's sample is 77.7 to 82.3
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To the nearest hundredth, what is the value of x? 45 53° O 59.72 O 56.35 35.94 O 27.08
Answer:
Step-by-step explanation:
[tex]\frac{x}{45} =sin~53\\x=45 ~sin~53 ~\approx ~35.94[/tex]
2 pounds of zucchini for 4 servings
Answer:
One pound of zucchini equals about 4 cups grated zucchini;
Step-by-step explanation:
2 cups of salted and squeezed zucchini; about 1 cup mashed zucchini; and 3 cups chunked zucchini.
Smokers: Out of 780 smokers, 376 have been divorced.
Non-smokers: Out of 2855 non-smokers, 902 have been divorced.
a) Find the 95% confidence interval for the proportion of smokers that have been divorced.
b) Find the 95% confidence interval for the proportion of non-smokers that have been divorced.
c) What do the results above indicate about smoking and divorce?
For statictics of Out of 780 smokers, 376 have been divorced, Non-smokers: Out of 2855 non-smokers, 902 have been divorced, the 95% confidence interval for smokers and non-smokers is mathematically given as
95% confidence interval = (0.5352, 0.4462)95% confidence interval = (0.3424, 0.2894)53% increased risk of divorce for smokers.What is the 95% confidence interval for smokers and non-smokers?Generally, the equation for the Confidence interval is mathematically given as
p ± Z/2[p(1-p)]/n
Where
Z1/2=1-(0.05/2)
Z1/2=0.975
Read z table we have
Z score= 1.96
Hence
0.4907 ± 1.96 (0.4907)(1-0.4907)/485
0.4907±0.0445
Therefore
95% confidence interval = (0.5352, 0.4462)
b)
Z1/2 = 1- (0.05/2)
Z1/2 = 0.975
Z score= 1.96
0.3159 ± 1.96 (0.3159)(1-0.3159)/1184
0.3159±0.0265
Thereofore
95% confidence interval = (0.3424, 0.2894)
c)
In conclusion, The 95% confidence interval helps us read that 53% increased risk of divorce for smokers.
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How many 12 hours periods (half days) will pass after 25 hours? Enter only the whole number of period that have passed?
Answer:
2
Step-by-step explanation:
12 + 12 = 24
Felix is dividing 322 by 12. He says the answer is going to be smaller than 322.
Do you agree with him and why?
Answer: Because dividing means to split into smaller groups
5/8 5/4 common denominator
Answer:
The common denominator of 5/8 and 5/4 is 8.
4×2 is 8 and 5/8 already has a denominator of 8
The common denominator of two fractions 5/8 and 5/4 is 8.
What is Number system?A number system is defined as a system of writing to express numbers.
To find a common denominator for 5/8 and 5/4, we need to find the least common multiple (LCM) of the denominators 8 and 4.
The multiples of 8 are: 8, 16, 24, 32, 40, 48, ...
The multiples of 4 are: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, ...
We can see that the least common multiple of 8 and 4 is 8, since 8 is the smallest number that appears in both lists.
To convert 5/8 to an equivalent fraction with denominator 8, we can multiply both the numerator and the denominator by 1, which is equivalent to multiplying by 8/8
Hence, the common denominator of two fractions 5/8 and 5/4 is 8.
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In 1995 there were 501 computer viruses reported. Since then, the viruses have been replicating at a
rate of 57% per year. How many viruses are projected for the year 2021?
Therefore, there are projected to be approximately 1541 computer viruses in the year 2021.
What is exponential growth?Exponential growth is a pattern of growth where a quantity grows at a constant percentage rate per unit of time. In other words, the rate of growth is proportional to the current value of the quantity. This type of growth is often seen in natural phenomena such as population growth, the spread of diseases, and the growth of financial investments. Exponential growth can be described mathematically by an exponential function of the form y = abˣ, where a is the initial value, b is the growth factor, and x is the time variable.
Here,
To solve this problem, we can use exponential growth formula:
A = P(1 + r)ˣ
where:
A = final amount
P = initial amount
r = growth rate
t = time (in years)
Let's first calculate the number of years from 1995 to 2021:
2021 - 1995 = 26 years
Using the given information, we can plug in the values into the formula:
A = 501(1 + 0.57)²⁶
A = 501(3.08)
A = 1540.68
Rounding to the nearest whole number, we get:
A ≈ 1541
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how can I be smart wear I don't need to cheat to get high grades
try your best
Step-by-step explanation:
Answer:
Study!
Step-by-step explanation:
Click on the numbers that fit the description.
(Choose 4)
Answer:
6231
Step-by-step explanation:
Answer:
6,2,30,8 is the common factor of 18 and 30
What is the value of the expression (–5) -3?
1. Apply the negative exponents rule:
1
(−5)3
2. Expand the power:
1
(−5)(−5)(−5)
3. Simplify:
1
x
What is the value of x?
x =
Answer:
15 :)
Step-by-step explanation:
brainliest please
Answer:
The answer is -125
Proof:
due in 1 hour
screenshot below
Answer:
True I'm pretty sure. Just check to be sure.
Step-by-step explanation:
Solve by completing the square
Answer:
X¹=-11; X²=3
x ^ 2 + 8x - 33 = o
x ^ 2 + 11x - 3x - 33 = 0
x(x + 11) - 3(x + 11) = 0
(x + 11)(x - 3) = 0
J=(7x+13) K=(83-2x) and the sum of the measures of the angles is 141. What is the measure of each angle
Answer:
j=76 and k=65
Step-by-step explanation:
[tex]j + k = 141 \\ 7x + 13 + 83 + - 2x = 141 \\ 96 + 5x = 141 \\ 5x = 141 - 96 \\ 5x = 45 \\ x = \frac{45}{5} \\ x = 9 \\ j = (7 \times 9 + 13) \\ j =76 \\ k = 83 - 2(9) \\ = 83 - 18 \\ = 65[/tex]
There are 12 girls and 16 boys . What is the largest number in each group?
Answer:
Step-by-step explanation:
The largest number of groups they can be split into and have the same number of boys and girls on each team is 6 groups
Given:
Number of girls = 12
Number of boys = 16
Find the highest common factor of 12 and 16
12 = 1, 2, 4
18 = 1, 2,4
The highest common factor of 12 and 16 is 4
Number of girls in each group = 12/4
= 3 girls
Number of boy in each group = 18/4
= 4.5 boys=5
Therefore, the group can be split into 4 groups to have 3 girls and 5 boys in each group
evaluate the expression 2b^3+5 (BTW I did the first part it's 3 but I need the second part)
To find the exact answer based on the last step, "[tex]2(3)^3+5[/tex]", you must use PEMDAS (attached image below)
[tex]2(3)^3+5=2*27+5=54+5=59[/tex]
Thus the answer is 59.
Hope that helps!
Answer:
2b³ + 5 = 59
Step-by-step explanation:
Given information,
→ 2b³ + 5
→ b = 3
Let's solve the expression,
→ 2b³ + 5
→ 2(3)³ + 5
→ 2(27) + 5
→ 54 + 5 = 59
Hence, the answer is 59.
i need help
Simplify the expression 63 + 5(4 − 2).
28
36
226
234
Answer:
226
Step-by-step explanation:
Given:
Simplify 6^3+5(4-2)
Note:
I think you meant 6^3 because if you solve 63+5(4-2):
63+5(4-2)
63+5 * 2
63 + 10
73
Solve:
6^3 + 5(4 - 2 )
6^3 + 5 x 2
6 x 6 x 6 = 216
226 + 5 x 2
5 x 2 = 10
216 + 10 = 226
~Lenvy~
Use the graph or table to find the equation that represents the relationship.
Using the information given in any graph or table, find the slope (m) and y-intercept (b) and substitute their values into y = mx + b, which represents the linear equation.
What is the Equation that Represents a Linear Graph?If we have a graph or table that represents a linear relationship between x and y, we can use a linear equation to represent the graph or table as, y = mx + b.
The graph or table is missing, however, here's how to find the linear equation that represnts the table or graph.
We would find the following:
Slope (m) = chnage in y/change in x = unit rate.y-intercept (b) = the initial value or the vaue of y when the value of x is 0.Therefore, using the information given in any graph or table, find the slope (m) and y-intercept (b) and substitute their values into y = mx + b, which represents the linear equation.
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Answer:
Here you go
Step-by-step explanation:
Just use a slope calculator
Melanie goes to a shelter to buy a dog. She has settled on two dogs, an Alsatian and a bulldog. To decide between them, she plans to flip a coin. Before she does, she flips the coin 50 times to check for fairness of the model. Her results are shown in the table.
Coin Toss Result Times Result Occurred
heads 24
tails 26
The relative frequency of landing on heads is ____. The relative frequency of landing on tails is
____.
Using it's concept, it is found that the relative frequency of landing on heads is 0.48 and of landing on tails is 0.52.
What is a relative frequency?A relative frequency is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, out of 50 flips, 24 landed on heads and 26 on tails, hence:
Fh = 24/50 = 0.48.
Ft = 26/50 = 0.52.
The relative frequency of landing on heads is 0.48. The relative frequency of landing on tails is 0.52.
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How to write the slope intercept equation for points of (6,0) and (0,-5)?
Answer:
[tex]y=\frac{5}{6} x -5[/tex]
Step-by-step explanation:
Hi there!
We are given the points (6,0) and (0, -5), and we want to write the equation of the line containing those points in slope-intercept form
Slope-intercept form can be written as y=mx+b, where m is the slope and b is the y intercept
First, we need to find the slope of the line
The formula for the slope can be written as [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points
We have everything we need to find the slope, but let's label the points to avoid confusion
[tex]x_1=6\\y_1=0\\x_2=0\\y_2=-5[/tex]
Now substitute these values into the formula
m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m=[tex]\frac{-5-0}{0-6}[/tex]
Subtract
m=[tex]\frac{-5}{-6}[/tex]
Simplify
m=[tex]\frac{5}{6}[/tex]
The slope of the line is 5/6
Let's plug this value into the formula for the equation of the line in slope-intercept form.
We substitute 5/6 for m in y=mx+b:
y=[tex]\frac{5}{6}x+b[/tex]
Now we need to find b
As stated before, b is the y intercept, which is the value where the line hits the y axis. The value of x at the y intercept is 0.
One of the points we were given is actually the y intercept; that point is (0, -5); notice how the value of x in this point is 0
The value of b is the value of y in this point, which is -5 in this case.
Substitute -5 as b in the formula.
[tex]y=\frac{5}{6} x -5[/tex]
Hope this helps!
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calvin and susie baked some cookies in the ratio of 3 : 7. calvin baked 60 fewer cookies than susie. how many cookies did they bake altogether?
Answer:
Step-by-step explanation:
Ratio of cakes baked by Calvin and Susie = 3 : 7
Cakes baked by Calvin = 3x
Cakes baked by Susie = 7x
Cakes baked by Calvin = Cakes baked by Susie - 60
3x = 7x - 60
7x - 60 = 3x
7x = 3x + 60
7x - 3x = 60
4x = 60
x = 60/4
x = 15
Cakes baked by Calvin = 3*15 = 45
Cakes baked by Susie = 7 *15 = 105
Total cakes baked = 45 + 105 = 150
They both baked 150 cakes altogether.
Please help me just a and d
C = 2 x pi x r
if r = 5 cm
C = 2 x pi x 5 = 10 x pi
≈ 10 x 3,14 ≈ 31,4 cm
C = 2 x pi x r = pi x d
if d = 2 m
C = pi x 2
≈ 3,14 x 2 ≈ 6,28 m
Hello!
a)
C = 2πr C= 2*π *5 31,4cm
= 2*3,14* 5
d)
r =2/2 => 1m
C= 2πr C= 2*π*1 6,28m
= 2 *3,14*1
huong spent $20.83 on a magazine and seven candy bars. If the magazine cost $4.94, then how much was each candy bar?
Answer:
$2.27
Step-by-step explanation:
Huong's expense is the sum of the cost of the magazine and the cost of 7 candy bars. If c represents the cost of a candy bar, then Huong's expense was ...
$4.94 +7c = $20.83
7c = $15.89 . . . . . . . . subtract 4.94
c = $2.27 . . . . . . . . divide by 7
Each candy bar was $2.27.
the volume of this is cone 923.16 cm what is the radius of this cone
Hey there!
[tex] \rightarrow \sf{ r = \sqrt{3 \frac{v}{\pi \ h} }} \: \rm{or} \: \sf{v = \frac{1}{3} \pi \: {r}^{2} \times h}[/tex]
[tex] \rightarrow \sf{923.16 = \frac{1}{3} (3.14) {r}^{2} \times h}[/tex]
[tex] \rightarrow \sf{\: 1.046667 {hr}^{2} =923.16}[/tex]
[tex] \rightarrow \sf{ \frac{1.046667 {hr}^{2} }{1.046667} = \frac{923.16}{1.046667} }[/tex]
[tex] \rightarrow \: \sf{ {r}^{2} = \frac{923.16}{1.046667h}}[/tex]
[tex] \rightarrow \: \sf{ r = \sqrt{ \frac{923.16}{1.046667h}}}[/tex]
How do you graph y=3x-2
Answer:
The graph should look almost exactly like this. I used a virtual graphing chart to assist, since it is capable of showing more than paper alone.
Answer:
Here is your answer.
Step-by-step explanation:
Find LP in parallelogram LMNQ.
Answer: im pretty sure its 29 degrees .
Step-by-step explanation: your welcome <3
Find the least common multiple of x2 – 2x – 15 and x2 + 2x – 3.
(x + 3)(x – 1)(x + 5)
(x – 5)(x + 3)(x – 1)
(x – 5)(x + 1)(x + 3)
(x + 5)(x + 3)(x + 1)
Step-by-step explanation:
please mark me as brainlest
What is the value of e?
1190
c
a
O A. 22°
OB. 48°
0 C. 61°
O D. 180°
Answer:
C. 61 degrees
Step-by-step explanation:
a line is 180 degrees
so e and 119 degrees makes a line
so you subtract 180-119= 61 degrees
Ben made a down payment of $4,000
Answer:
Step-by-step explanation:
Do you know the rest of the question, I can hopefully answer it!
rest of the question??!
Lisa, Kim and Bridget flew total of 7800 miles on Southwest airlines last year. Lisa flew 1500 miles. Kim flew 2200 miles. How many miles did Bridget fly?
Answer:
Bridget flew 4100 miles.
Step-by-step explanation:
L + K + B = 7800
1500+2200+B=7800
3700 + B = 7800
Subtract 3700.
B = 4100
Bridget flew 4100 miles.
B. Solve the following. Write your solutions and final answers in your notebook.
1. To relieve her stress from work. Tina would always watch the fishes moves around her 90 cm wide, 70 cm high, and 45 cm long aquarium. If the aquarium is filled halfway through its height; how much volume of water is in it?
2. Elisha has a swimming pool in their house that measures 10 m long, 5 m wide and 1 m high. Approximately, how much will she be paying for the water supply of her swimming pool, if the water costs P27.25 per cubic liter?
3. Myla bought a jar shaped like a rectangular prism having a length of 130 cm, a width of 70 cm, and a height of 110 cm. How much water is needed to fill the jar?
4. A truck with dimensions 9 feet long, 7 feet wide, and 5 feet high is delivering sand for a sand sculpture competition. How many trips must the truck make to deliver 945 cubic feet of sand?
5. Create a problem on volume and prepare a solution to your problem based on the figure below:
I need best answer please
The volume of water contained in this aquarium that is filled halfway through its height is equal to 141,750 cm³.
The volume of a right prism.Mathematically, the volume of a right prism is calculated by using this formula:
Volume = length × width × height
Given the following data:
Length = 45 cm.Width = 90 cm.Height = 70 cm.Based on the information, the aquarium is filled halfway through its height. Thus, the height of water is given by:
H = 70 × 0.5
H = 35 cm.
Substituting the parameters into the formula, we have;
Volume = 45 × 90 × 35
Volume = 141,750 cm³.
How to calculate the volume?Mathematically, the volume of Elisha's swimming pool is given by:
Volume = length × width × height
Volume = 10 × 5 × 1
Volume = 50 m³.
Now, we can calculate the cost of water supply:
Cost = 27.25 × 50 × 10³
Cost = P1,362,500.
How to calculate the volume of water.Mathematically, the volume of a rectangular prism is given by this formula:
Volume = length × width × height
Volume = 130 × 70 × 110
Volume = 1,001,000 cm³.
How to calculate the number of trips.Firs of all, we would determine the volume of this truck:
Volume = length × width × height
Volume = 9 × 7 × 5
Volume = 315 ft³.
Now, we can calculate the number of trips:
Number of trips = 945/315
Number of trips = 3 trips.
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