Answer:
8 miles
Step-by-step explanation:
Given: A runner can run 5 miles in 26 minutes, 41.6 minutes = ___
To find: At this rate, how many miles can he run and 41.6 minutes?
Solution: If the runner ran 5 miles in 26 minutes, to find how far he ran in 41.6 minutes, set up a fraction:
let x be the variable
[tex]\frac{26}{5} = \frac{41.6}{x}[/tex]
Apply fraction cross multiply;
[tex]26x=5\cdot \:41.6[/tex]
[tex]26x = 208[/tex]
Divide both sides by 26
[tex]\frac{26x}{26}=\frac{208}{26}[/tex]
Simplify
[tex]x = 8[/tex]
Then, at the rate, the runner ran 8 miles 41.6 minutes
i NEED HELP PLEASE HELP ME
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The vertex is the extreme point of the curve. It lies on the vertical line that is the axis of symmetry.
The x-intercepts are where the graph crosses the x-axis. (They are symmetrically located about the axis of symmetry.)
The y-intercept is where the graph crosses the y-axis.
A restaurant did a survey among 100 customers to find their food preferences. The customers were asked about their preferences for chocolate cake or cheesecake. Out of the total 50 people who liked chocolate cake, 15 also liked cheesecake. There were 25 people who liked cheesecake.
Part A: Summarize the data by writing the values that the letters A to I in the table below represent.
Like chocolate cake Do not like chocolate cake Total
Like cheesecake A D G
Do not like cheesecake B E H
Total C F I
Part B: What percentage of the survey respondents did not like either chocolate cake or cheesecake?
Part C: Do the survey results reveal a greater dislike for chocolate cake or cheesecake? Justify your answer.
The values for the first part is..25 like choc...25 do not like choc..25 for the 3rd and yes..25 for 4th
Part b...zero percent..every 1 liked on or the other
Part c..it's equal for like choc..and same like cheese..
I dentify the appropriate mixed number for the picture shown
Answer:
2 1/2
A.
Count the complete =2
The incomplete, a quarter + a quarter = half
solve the equation: 10y-7=27
Answer:
10y=27+7
10y=34
y=34/10
y=3.4
Step-by-step explanation:
Firstly 7 is added to 27
Then adding 7 and 27
Dividing 34 by 10
What is the answer for the equation: -4.2a = 8.4
Answer:
the answer is in the photo
Step-by-step explanation:
I hoped I helped:)
Hello help me out thank you !
Answer:
1130.4
Step-by-step explanation:
The volume of a cylinder is πr^2h, where r is the radius and h is the height.
We are given the height, 10m.
The diameter is 2m more than the height, so 2+10=12m.
The radius is half the diameter, so 12m/2=6m.
Use r=6 and h=10 in the formula to get the volume
π6^2*10≈1130.4
Andy wants to find the distance across a river. In order to find the distance CD, Andy stands at point D , directly across from point C , and walks 200 feet to the left, placing a marker at a point E. Andy continues walking another 300 feet to point A , and then follows the path to the left, walking until the markers at points E and C line up. Andy marks this location B and measures AB. What is CD
Answer:
98
Step-by-step explanation:
200/300 x 147= 98
The length of a rectangle is 7 inches more than twice the width. The
perimeter is 68 inches. Find the length and the width.
Equation?
Answer:
Length: 25
Width: 9
Step-by-step explanation:
been working on this for too long. thank u :)
Answer:
Im not a 100% sure but my best guess would be the 3rd equation:
f(x) = (x - 1) (x + 3)
Please let me know if I was wrong, but i hope this helped you!
an athlete is running on a bike path with mile markers he is currently at mile marker 13 if his sister is 5 miles away determine her possible location
PLS HELP, WHOEVER HELPS GETS BRAINLIEST
The Tyler Municipal Garden and Center in Tyler, Texas, is the nation's largest rose garden. It contains 38,000 rose bushes representing 500 varieties of roses set in a 14-acre park. Write and solve proportion that could be used to find the average number of rose bushes per acre.
Answer:
3,800x(14)
Step-by-step explanation:
Jacob has 17 yards of fabric. He uses 1 third of it to make a cape. How many yards of fabric does Jacob use for the cape?
Answer:
5.6 yards
Step-by-step explanation:
1/3 of 17 is 5.6
Answer: He used 5.66666667 yards of fabric! Yw! :)
Find the volume of the sphere.
r= 4 cm
Formulas for Spheres
S.A. = 4tr2
V = fnr V = [?] cm3
Round to the nearest tenth.
Enter
Answer:
268.2 cm³
Step-by-step explanation:
Volume of sphere= 4/3 π r³
→ [tex]4/3*22/7*4*4*4[/tex]
→ [tex]256*22/21[/tex]
→ [tex]5632/21=[/tex]
→ [tex]268.19 cm^3[/tex]
→ [tex]268.2 cm^3[/tex]
[tex]------------[/tex]
hope it helps...
have a great day!!
Answer:
268.2 cm³ is your answer
6 more than 5 times a number is equal to 11. Find the number.
Answer:
1
Step-by-step explanation:
Answer:
see below :)
Step-by-step explanation:
answer: 1
the equation would be written like so: 5n+6=11
5(1) = 5
5+6 = 11
n=1
Which graph best represents a quadratic function that has only one zero?
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
Please answer 23 and 24 for me pls pls pls
solve for x
x plus 15 = 60
Answer:
x = 45Step-by-step explanation:
x + 15 = 60
=> x = 60 - 15
=> x = 45 (Ans)
Answer:
45
Step-by-step explanation:
x + 15 = 60
-15. -15
___. ____
x. = 45
I need help on this problem.
Answer:
x^2+7x +49/4 and (x+7/2)^2
x^2+bx +b²/4 and (x+b/2)^2
Step-by-step explanation:
Given the expression
x^2+7x+c
We need to find the constant that completes the expression
Take the half of the cpeffiecient of x = 7/2
Taking the square of the result
Square of the result = (7/2)^2
Hence c = (7/2)^2
The expression becomes;
x^2 + 7x + (7/2)^2
= x^2+7x +49/4
= (x+7/2)^2
For x^2+bx+d
We need to find the constant that completes the expression
Take the half of the cpeffiecient of x = b/2
Taking the square of the result
Square of the result = (b/2)^2
Hence d = (b/2)^2
The expression becomes;
x^2 + bx + (b/2)^2
= x^2+bx +b²/4
= (x+b/2)^2
The temperature in Mrs. Cagle's room was -14°F yesterday, but it rose 8°F today. What is the
new temperature today?
I really need help with this probability question and it would mean a lot if someone could help me! :)
What is an example of a compound event??
Answer: Flipping a coin, or drawing a card suit (spades, hearts, clubs, or diamonds), either of those works.
Step-by-step explanation: A compound event is the combination of two or more simple events (with two or more outcomes). The probability of drawing a heart, replacing the card, then drawing a spade. In a compound event, the numerator ("number of times it can occur") will be greater than 1.
How is absolute value used to determine MAD
Answer:
To find the mean absolute deviation of the data, start by finding the mean of the data set. Find the sum of the data values, and divide the sum by the number of data values. Find the absolute value of the difference between each data value and the mean: |data value – mean.
Step-by-step explanation:
please help fast !! you’ll get 10 points
Answer:
90
Step-by-step explanation:
Jen has 13 fewer marbles than Marty. She has 20 marbles. Which equation can be
solved to find how many marbles Marty has?
F
13 m - 20
H
13m - 20
G
m 13 - 20
3
m - 2013
20-13=7
so i think the answer would be m 13-20?
Which term describes sq
Answer:
angle bisector
Step-by-step explanation:
In the picture shown in the question, the line segment SQ would be considered the angle bisector. This is because it is dividing the interior angles' opposite side into two line segments. Hence the line segments PQ and QR. The angle bisector divides the opposite side into line segments that are proportional to the other two sides of the triangle which in this case can be seen by the top left indication in the picture stating that PQ and QR are the same.
what is the vaule of the expression below 3⁴+9
Answer:
,3⁴+981+990hope it helps.
stay safe healthy and happy.
Answer:
90
Step-by-step explanation:
[tex] {3}^{4} + 9[/tex]
[tex](3 \times 3 \times 3 \times 3) + 9[/tex]
[tex]81 + 9[/tex]
[tex]90[/tex]
Hope it is helpful....The coffee shop has green mugs and blue mugs. There are 6 less than three times as many
blue coffee mugs as green coffee mugs. There are 42 blue coffee mugs. How many green
coffee mugs are there?
According to the U.S. Department of Agriculture, the average American consumed 54.3 pounds (ap- proximately seven gallons) of salad and cooking oils in 2008 (www.ers.usda.gov/data/foodconsumption). Suppose that the current distribution of salad and cooking oil consumption is approximately normally distributed with a mean of 54.3 pounds and a standard deviation of 14.5 pounds.
1. What percentage of Americans' annual salad and cooking oil consumption is less than 10 pounds?
2. What percentage of Americans' annual salad and cooking oil consumption is between 35 and 60?
3. What percentage of Americans' annual salad and cooking oil consumption is more than 95 pounds?
Answer:
a) 0.11%
b) 55.99%
c) 0.25%
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.
Normally distributed with a mean of 54.3 pounds and a standard deviation of 14.5 pounds.
This means that [tex]\mu = 54.3, \sigma = 14.5[/tex]
1. What percentage of Americans' annual salad and cooking oil consumption is less than 10 pounds?
The proportion is the pvalue of Z when X = 10. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{10 - 54.3}{14.5}[/tex]
[tex]Z = -3.06[/tex]
[tex]Z = -3.06[/tex] has a pvalue of 0.0011
0.0011*100% = 0.11%.
2. What percentage of Americans' annual salad and cooking oil consumption is between 35 and 60?
The proportion is the value of Z when X = 60 subtracted by the pvalue of Z when X = 35.
X = 60
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{60 - 54.3}{14.5}[/tex]
[tex]Z = 0.39[/tex]
[tex]Z = 0.39[/tex] has a pvalue of 0.6517
X = 35
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{35 - 54.3}{14.5}[/tex]
[tex]Z = -1.33[/tex]
[tex]Z = -1.33[/tex] has a pvalue of 0.0918
0.6517 - 0.0918 = 0.5599
0.5599*100% = 55.99%
3. What percentage of Americans' annual salad and cooking oil consumption is more than 95 pounds?
The proportion is 1 subtracted by the pvalue of Z when X = 95.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{95 - 54.3}{14.5}[/tex]
[tex]Z = 2.81[/tex]
[tex]Z = 2.81[/tex] has a pvalue of 0.9975
1 - 0.9975 = 0.0025
0.0025*100% = 0.25%
(1.) 0.11% of Americans annual salad and cooking oil consumption is less than 10 pounds.
(2) 55.99% of Americans annual salad and cooking oil consumption is between 35 and 60.
(3).0.25% Americans annual salad and cooking oil consumption is more than 95 pounds.
Given, the average american consumed 54.3 pounds of salad and cooking oils in 2008.
the mean of salad and cooking oil consumption is approximately 54.3 pounds and a standard deviation of 14.5 pounds.
The formula for calculating a z-score is,
[tex]z = \dfrac{(X-\mu)}{\sigma}[/tex]
where [tex]X[/tex] is the raw score, μ is the population mean, and σ is the population standard deviation.
The value of the z-score tells you how many standard deviations you are away from the mean. If a z-score is equal to 0, it is on the mean. A positive z-score indicates the raw score is higher than the mean average.
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.
1. percentage of Americans annual salad and cooking oil consumption is less than 10 pounds.
Here X=10
[tex]z=\dfrac{10-54.3}{14.5}[/tex]
[tex]z=-3.06[/tex]
Since [tex]z=-3.06[/tex] has a p value of 0.0011,so
[tex]0.0011\times100\%=0.11\%[/tex]
2.percentage of Americans' annual salad and cooking oil consumption is between 35 and 60.
the proportion is the value of Z when X = 60 subtracted by the p value of Z when X = 35.
At X=60,
[tex]z=\dfrac{60-54.3}{14.5}[/tex]
[tex]z=0.39[/tex]
0.39 has a p value of 0.6517.
At X=60,
[tex]z=\dfrac{35-54.3}{14.5} \\[/tex]
[tex]z=-1.33[/tex]
-1.33 has a p value of 0.0918.
Now,[tex]0.6517 - 0.0918 = 0.5599[/tex]
[tex]0.5599\times100\% = 55.99\%[/tex]
3. percentage of Americans' annual salad and cooking oil consumption is more than 95 pounds.
Here, The proportion is 1 subtracted by the p value of Z when X = 95.
[tex]z=\dfrac{95-54.3}{14.5}[/tex]
[tex]z=2.81[/tex]
[tex]z=2.81[/tex] has a p value of 0.9975.
So, [tex]1 - 0.9975 = 0.0025[/tex].
Now, [tex]0.0025\times100\% = 0.25\%[/tex].
Hence the correct percentage is 0.11%,55.99% and 0.25% respectively.
For more details follow the link:
https://brainly.com/question/6096474
Determine the volume of the toilet paper roll excluding the empty middle
Answer:
150.72
Step-by-step explanation:
3² × 3.14 × 6 - 1² × 3.14 × 6 = (3² - 1²) × 3.14 × 6 = 150.72
**PLEASE HELP!!*
James threw a ball from the roof of a building. The ball fell 3 feet in the first second, 9 feet in the next second, and 27 feet in the third second. which expression represents the distance the ball fell at the nth second?
a. 3^n
b. 3n
c. n^3
d. 6n-3
Answer:
n 3 is the correct answer okay