Answer:
x = 3 + 2p (2p is 2 times p)
An arc that measures 180 degrees is called a
A pretzel company calculated that there is a mean of 73.5 broken pretzels in each production run with a standard deviation of 5.1. If the distribution is approximately normal, find the probability that there will be fewer than 69 broken pretzels in a run.
Answer:
0.1894 = 18.94% probability that there will be fewer than 69 broken pretzels in a run.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
A pretzel company calculated that there is a mean of 73.5 broken pretzels in each production run with a standard deviation of 5.1.
This means that [tex]\mu = 73.5, \sigma = 5.1[/tex]
Find the probability that there will be fewer than 69 broken pretzels in a run.
This is the p-value of Z when X = 69.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{69 - 73.5}{5.1}[/tex]
[tex]Z = -0.88[/tex]
[tex]Z = -0.88[/tex] has a p-value of 0.1894
0.1894 = 18.94% probability that there will be fewer than 69 broken pretzels in a run.
Michelle purchases several bottles of water. Before tax is added, the total cost is $3.60 and the cost of each bottle is $1.20. How many bottles did she buy?
Answer:
3 bottles
Step-by-step explanation:
1 bottle -- $1.20
x bottles -- 3.60 (total cost)
Therefore, number of bottles -- (3.60/1.20) = 3
She bought 3 bottles.
Thenks and maek me brainliest :))
Simplify the algebraic expression -5(6x)
Answer:
-30x
Step-by-step explanation:
The parenthesis is just to multiply, and you can combine like terms. So -5*6=-30, which you multiply with x to get -30x.
Aaron's bedroom is in the shape of a rectangular prism. The bedroom measures 10 feet by 14 feet by 8 feet. How many cubic feet of space does the room contain?
The formula for the area of a rectangular room is width x length, as shown in the figure below: This is the equation used in our square footage calculator as well.
In Buenos Aires, the average daily high temperature temperature in a year is reported to be 18.2^{\circ}\text{C}18.2 ∘ C18, point, 2, degrees, start text, C, end text. Catalina believes that last year was warmer than usual. In order to test her belief, she takes a simple random sample of 202020 days from last year, and records the daily high temperature on each chosen day. She finds that the sample mean temperature is 19.1^{\circ}\text{C}19.1 ∘ C19, point, 1, degrees, start text, C, end text and the sample standard deviation is 7.9^{\circ}\text{C}7.9 ∘ C7, point, 9, degrees, start text, C, end text. Catalina wants to use these sample data to conduct a ttt test on the mean. Assume that all conditions for inference have been met.
Answer:
H 0
:μ=18.2 ∘ C
H a
:μ>18.2 ∘ C
Step-by-step explanation:
Khan............... The null hypothesis has a statement of equality, and the direction of alternative hypothesis (>)(>)left parenthesis, is greater than, right parenthesis matches her belief that last year was warmer.
The three conditions for hypothesis testing are approximately met, and the null hypothesis is that the population mean daily high temperature in Buenos Aires is 18.2∘C.
What is hypothesis testing?Hypothesis Testing is a type of statistical analysis in which you put your assumptions about a population parameter to the test. It is used to estimate the relationship between 2 statistical variables.
here, we have,
The three conditions for hypothesis testing are approximately met based on the information given.
Null hypothesis (H0) is that the population mean daily high temperature in Buenos Aires is 18.2∘C. Alternative hypothesis (Ha) is that the population mean daily high temperature in Buenos Aires is greater.
The test statistic is calculated as (sample mean - population mean) / (sample standard deviation / sqrt(sample size)).
The p-value is the probability of obtaining a test statistic as extreme or more extreme than the observed test statistic, assuming the null hypothesis is true. It can be calculated using a t-distribution with degrees of freedom equal to the sample size minus one.
To learn more about hypothesis testing please click on below link.
brainly.com/question/29607047
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What is the surface area of this square pyramid
18 ft
33ft
36 ft
57 ft
The surface area of this square pyramid is 33ft
Surface area of square based pyramidThe formula for calculating the surface area of the ssquare pyramid is expressed as:
TSA = Area of square + 4(area of triange)
TSA = (3*3) + 4(0.5 * 4 * 3)
TSA = 9 + 4(6)
TSA = 9 + 24
TSA = 33 square feet
Hence the surface area of this square pyramid is 33ft
Learn more on surface area of the pyramid here: https://brainly.com/question/16060915
(2.8•10^8)(1.9•10^4)
Answer: 5.32 × 10^12
Step-by-step explanation:
This is a question relating to indices. In indices, we add the power given for question relating to multiplication. Hence, this will be:
= (2.8•10^8)(1.9•10^4)
= (2.8 × 1.9) × 10^8+4
= 5.32 × 10^12
Therefore, the answer to the question will be 5.32 × 10^12.
red works at the convenience store for $7.00 an hour. If he makes $49.00 over 2 days, how many hours did Fred work?
7 hours is the answer.
7 x 7 = 49, so if he works 7 hours for $7 an hour, he would have $49.
Maria has a jewelry box and wants to increase its size. She finds one with four times the length, width, and height. How many times bigger will the volume of the box be?
Answer:
64 times bigger
Step-by-step explanation:
I will use random values for this explanation to make it more understandable.
Lets say the length of the box is 1 inch, width is 1 inch, and height is 1 inch.
The volume would be l*w*h = 1*1*1 = 1 cubic inch
If the dimensions were 4 times bigger, the length, width and height would all be 4 inches.
4*4*4 = 64 cubic inches, which is 64 times bigger than the smaller box with a volume of 1 cubic inch.
Hope this answer helped! :)
A right triangle has a leg of length 6 and a hypotenuse of length 21 yards. Find the length of the other leg (nearest tenth).
Answer:
20.1
Step-by-step explanation:
a^2+b^2=c^2
6^2+b^2=21^2
36+b^2=441
b^2=441-36
b^2=405
sqrt of b =20.12
In the figure below, j || n. Find the values of y and x.
20 POINT!!
Can someone help me I don’t understand it at all
Answer:
second
Step-by-step explanation:
substitute y=6 and x=1 in the given relations and see if works
y=2x will be 6 = 2*1 false
y=x+5 will be 6 = 1+5 true
because this is true check all the other y and x and if all true is good
7=2+5 true, 8=3+5 true 9= 4+5 true, 10=5+5 true, so second is good
y=2x+1 will be 6=2*1+1 false
y=3x+1 will be 6=3*1+1 false
what is the volume of a rectangular prism with a length of 4 a width of 6 and a height of 2?
Answer: Volume = 48
Step-by-step explanation:
V = L * W * H
V = 4 * 6 * 2
V = 48
Find the volume of the cylinder.
Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi.
please help im tring to pass this class
Volume of a cylinder is the area of the base x the height.
Area of base = pi x r^2 = 3.14 x 2^2 = 12.56
Volume = 12.56 x 8 = 100.48 units^3
Answer:
32 pi units^3
Step-by-step explanation:
The volume of a cylinder is given by
V = Bh where B is the area of the base
The base is a circle
The area of a circle is given by
A = pi r^2
The radius is 2
A = pi (2)^2 = 4pi
The area of the base is 4pi
The height is 8
V = 4pi *8
V = 32 pi units^3
14. A company uses many different delivery
services. The probability that any given parcel
will be sent by the ABC Speedy Delivery Service
is 0.71. The probability that the parcel will arrive
on time given the ABC Speedy Delivery
Company was used is 0.93. If a parcel is
randomly selected, find the probability that it will
be sent with the ABC Speedy Delivery Company
and arrive on time.
Answer:
0.6603 = 66.03% probability that it will be sent with the ABC Speedy Delivery Company and arrive on time.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Sent by ABC Speedy Delivery Service.
Event B: Arrived on time.
The probability that any given parcel will be sent by the ABC Speedy Delivery Service is 0.71.
This means that [tex]P(A) = 0.71[/tex]
The probability that the parcel will arrive on time given the ABC Speedy Delivery Company was used is 0.93.
This means that [tex]P(B|A) = 0.93[/tex]
Find the probability that it will be sent with the ABC Speedy Delivery Company and arrive on time.
This is [tex]P(A \cap B)[/tex]. So
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
[tex]P(A \cap B) = P(B|A)*P(A) = 0.93*0.71 = 0.6603[/tex]
0.6603 = 66.03% probability that it will be sent with the ABC Speedy Delivery Company and arrive on time.
HELP HELP HELP HELP PLEASE HELP ME
Answer: C is the answer bc it is asking what is more grader
Step-by-step explanation:
A sewing class has 185 yards of fabric to make quilts. Each quilt requires 8 yards of fabric. How much fabric will remain after all the quilts are made?
HELP PLZZZZZ
Which of the following are not linear functions? Place a check mark in the box next to each equation that is not a linear function.
A. x = 4
B. y = 5
C. y = 3x + 2
D. y = 2x 2 + 1
E. y = x 2
Answer:
The option E is not linear function
bcz the in option E there is y =x2
whats 6 divided by 10?
Answer:
1 r 4
Step-by-step explanation:
0 1
6 1 0
− 0
1 0
− 6
4
thirty years later the washington monument was finally completed, and the angle of elevation to the top of the monument from the same marker was 70o. to the nearest foot, how many feet were added to the phase 1 structure of the washington monument?
Answer:
Congress immediately tabled its expected contribution of $200,000 to the Society, effectively halting the appropriation. During its tenure, the Know-Nothing Society added only two courses of masonry, or four feet, to the monument using rejected masonry it found on site, increasing the height of the shaft to 156 feet
Step-by-step explanation:
What percent of 36 is 20?
Answer:
55.56%
Step-by-step explanation:
Answer:
55.56
Step-by-step explanation:
(sin30°+cos30°)(sin30°-cos30°)
Which of the following measures cannot be determined from a box plot?
select all that apply.
A. Interquartile range
B. Mean
C. Mean absolute deviation
D. Median
E. Mode
F.Range
==========================================================
Explanation:
The box plot, aka "box-and-whisker plot", visually represents five things. These things are:
MinimumQ1 = first quartileMedian (sometimes referred to as Q2 or second quartile)Q3 = third quartileMaximumThis list of five items is known as the five number summary.
The min is the tip of the left most whisker, assuming there aren't any small outliers. The max is the opposite side, being the tip of the right most whisker (assuming no large outliers). If there are any outliers, then they'll be shown as "island" dots on their own separated from the main box plot. The left and right edges of the box are Q1 and Q3 respectively. The median is the vertical line inside the box. The vertical line does not have to be at the midpoint of the left and right edges of the box. It simply needs to be somewhere in the box.
--------
Since the box plot lets us know the min and max, we can compute the range because
range = max - min
and we can also calculate the interquartile range (IQR) because
IQR = Q3 - Q1
--------
So to summarize so far, the five number summary is visually represented as the box plot. The range and IQR can be computed using items from the five number summary.
We cannot compute the mean because we would need the actual data set of values, rather than the summary data. The same goes for the mean absolute deviation (MAD) and the mode. Since your teacher is looking for things that cannot be determined from a box plot, we'll go for answers B, C and E.
In other words, we rule out choices A, D, and F because we can compute or determine those values from a box plot.
What is the domain of the following parabola?
A car travels at the rate of 60 miles per hour and averages 30 miles per gallon of gasoline. Which of the following is the best
approximation of the number of gallons of gasoline that will be used in 8 hours of traveling at 60 miles per hour?
0.06 gallons
16 gallons
3.75 gallons
7.5 gallons
480 gallons
Sylvia bought 8 bags of stickers. Each bag costs $2.79 how much did Sylvia spend
Answer:
Sylvia's total cost=$2.79*8
=$22.32
Step-by-step explanation:
HELP HELP HELP HELP
What is the equation of the trend line in the scatter plot ?
Answer:
The equation for the trend line is y=2x-10
Over what interval(s) is the function decreasing?
A)
-∞ < x < ∞
B)
- ∞ < x < 5
C)
5
D)
never
Answer:
A and BStep-by-step explanation:
C isnt an interval and the function is always decreasing
HELP ME WITH THIS PLEASE. THANK YOU
Answer:
I think it's 2
Step-by-step explanation:
Answer:
1/11 is correct.
Step-by-step explanation:
You can see that the 3 is spun 2 times, but we need to know how many times he spun in total.
2 + 3 + 2 + 4 + 5 + 2 + 1 + 3 = 22
2/22 = 1/11
Have a nice day!