Answer:
0.7823 = 78.23% probability that a truck drives less than 118 miles in a day.
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.
Trucks in a delivery fleet travel a mean of 90 miles per day with a standard deviation of 36 miles per day.
This means that [tex]\mu = 90, \sigma = 36[/tex]
Find the probability that a truck drives less than 118 miles in a day.
This is the pvalue of Z when X = 118. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{118 - 90}{36}[/tex]
[tex]Z = 0.78[/tex]
[tex]Z = 0.78[/tex] has a pvalue of 0.7823
0.7823 = 78.23% probability that a truck drives less than 118 miles in a day.
Answer each question. Assume x>0. a. What percent of 8x is 5x? 5x is % of 8x. b. What is 65% of 80x? 65% of 80x=.
I will give 100 points
since both numbers have an x, the first question might as well be asking 5 is what % of 8.
This can be found using division, 5/8=0.625 This also meant that the answer is 62.5 %
For the second question, to find the answer, you just gave to multiply the 2 numbers.
65%*80x=52
Done!
Need help please someone
Answer:
let's divide the figure into the two parts.
surface area of cuboid=2(lb+bh+hl)
surface area of cuboid=2(12×4+4×6+6×12)
surface area of cuboid = 288 unit²
diameter of cylinder =4
radius=4/2
surface area of half cylinder= pi×r(h+r)
surface area of half cylinder=3.14×2×(12+2)
surface area of half cylinder=87.92 unit²
surface area of figure=288 unit²+ 87.92 unit²
surface area of figure = 375.92 unit²
Solve for t.
4 (t + 1/4) = 3
Answer:
t=1/2
Step-by-step explanation:
a scatter plots allows us to investigate _____ between the ____ ____.
Answer:https://brainly.com/question/22661875?answering=true&answeringSource=feedPublic%2FhomePage%2F10
Step-by-step explanation:hope this helps
Ecologists wanted to estimate the mean biomass (amount of vegetation) of a certain forested region. The ecologists divided the region into plots measuring 1 square meter each, and they selected a random sample of 9 plots. The mean biomass of the 9 plots was 4.3 kilograms per square meter (kg/m2) and the standard deviation was 1.5 kg/m2 . Assuming all conditions for inference are met, which of the following is a 95 percent confidence interval for the population mean biomass, in kg/m2?
A) 4.3±1.96 (underroot 1.5/3).
B) 4.3±1.96 (1.5/3).
C) 4.3 ± 2.306 (underroot 1.5/9).
D) 4.3±2.3064 (1.5/9).
E) 4.3+2.30/15 (1.5/3).
Answer:
[tex]4.3 \pm 2.306\frac{1.5}{\sqrt{9}}[/tex], option c
Step-by-step explanation:
We have the standard deviation for the sample, so we use the t-distribution to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 9 - 1 = 8
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 8 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.306
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.306\frac{1.5}{\sqrt{9}}[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
Confidence interval:
The confidence interval is the sample mean plus/minus the margin of error. So
[tex]4.3 \pm 2.306\frac{1.5}{\sqrt{9}}[/tex]
The correct answer is given by option c.
write the sum as a fraction whole number or mixed number in lowest terms 5/14 + 5/14 + 2/14
Answer:
5/14 + 5/14 + 2/14 = 12/14 = 6/7
Step-by-step explanation:
A line that includes the point (-4, 9) has a slope of 1/2. What is its equation in point-slope
form?
Use the specified point in your equation. Write your answer using integers, proper fractions,
and improper fractions. Simplify all fractions.
Answer:
Hi Jewel, leave a comment if you want more explanation of the following:
Step-by-step explanation:
point-slope formula: y-y1 = m(x-x1)
slope-intercept formula: y = mx + b
using point-slope: y-9 = 1/2(x-(-4))
= y-9 = 1/2(x + 4)
= y -9 = 1/2x +2
we've almost made it to slope-intercept from , notice, but the problem says to leave it in point-slope form, so there you go :) and leave a comment if you need more explanations :)
circle A is defined as (x+5)^2+(y-6)^2=16, and circle B is defined as (x+3)^2+(y+2)^2=9. which transformation of circle A shows that circle B is similar
Answer: the answer is D “The center of circle A is translated left 2 and up 8, and the radius is enlarged by a scale factor of 4/3.”
Step-by-step explanation:
A coral reef grows 0.19 m every week. How much does it grow in 12 weeks? write your answer in centimeters.
Step-by-step explanation:
nnznnsnakjshsjiahsjshhsys
Simplify.
Please help!!
Answer:
m√n+2n-n√m
Step-by-step explanation:
4√n^2+√m^2n-√4n^2-√mn^2
m√n+2n-n√m
What is the approximate length of arc S on the circle below? Use 3.14 for pi. Round your answer to the nearest tenth.
oceanside bike rental shop charges 18 dollars plus 9 dollars an hour for renting a bike. sam paid 63 dollars to rent a bike. how many hours did he pay to have the bike?
Answer:
5 hours
Step-by-step explanation:
sam originally paid $18 hours but then had to pay 9 every 1 hour
18+9/1=?
sam paid 63 $ in total so
63-18= 45
45/9=5
Solve for x in the triangle. Round your answer to the nearest tenth
Answer:
9.1
Step-by-step explanation:
Tangent 33=x/14
x=14*Tan 33
x=9.1(nearest tenth)
I need help please help
Answer:
with wut XD
Step-by-step explanation:
There are 12 inches in 1 foot. Jada is working on improving her vertical jump. She records the measurements in feet and inches. Currently, her standing reach is 6 feet from the ground. The highest point of her jump is 108 inches.
How many inches are in 6 feet?
6 feet = 72 inches.
Complete the statement to describe how to convert feet to inches.
To find the number of inches, ? the number of feet by the unit rate, ? inches per foot.
Answer:
To find out how any inches are in a certain amount of feet you have to multiply it by 12. For example 4 feet is equal to 48 inches. (4x12)
Step-by-step explanation:
Pls help this is due today!
help me this is the second time i have asked this 20 points
don't put something dum pls
Answer:
1. y=7x
2. y=9x
3. y=13x
4. x=10y
5. y=(x)*5+1
7. Draw a line through (0, 1) and (1, 6)
8. Draw a line through (0, 2) and (1, 3)
9. Draw a line through (0, 3) and (6, 1)
10. Draw a line through (0, 40) and (20, 80)
Presley is deciding where to purchase cat food for his pet. He is considering PetCo and Chewy. PetCo currently has a sale on Fancy Feast cat food for $0.52 per can plus $41.99 for a bag of Blue Buffalo dry food. Chewy charges customers $0.64 per can of Fancy Feast and $36.98 for a bag of Blue Buffalo dry food. Write a system of linear equations where t represents the total cost of cat food and c represents the number of cans of cat food.
PetCo:
t = 0.52c + 41.99
Chewy:
t = 0.64c + 36.98
Mookie Betts of the Boston Red Sox had the highest batting average for the 2018 Major League Baseball season. His average was 0.352. So, the likelihood of his getting a hit is 0.352 for each time he bats. Assume he has five times at bat tonight in the Red Sox-Yankee game. a. This is an example of what type of probability
Answer:
Binomial probability, with [tex]n = 5, p = 0.352[/tex]
Step-by-step explanation:
For each time Mookie Betts went to bat, there were only two possible outcomes. Either he got a base-hit, or he did not. The probability of getting a hit on each at-bat is independent of any other at-bat. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
His average was 0.352.
This means that [tex]p = 0.352[/tex]
Assume he has five times at bat tonight in the Red Sox-Yankees game.
This means that [tex]n = 5[/tex]
a. This is an example of what type of probability
Binomial probability, with [tex]n = 5, p = 0.352[/tex]
What is the surface area?
Answer:
352.5 cm²
Step-by-step explanation:
Surface area
= (6.5 × 7.5 ÷ 2) × 2 + (7.5 × 13.5) × 3
= 48.75 + 303.75
= 352.5 cm²
Lucy and Ayu sold a total of 1,080 iPads. Lucy sold 7 times as many as Ayu. How many did each sell
Answer:
let L=lucy and A=ayu
l+a=1080
l=7a 7a+a=1080
8a=1080 8a/8=1080/8
ayu=135
l=7a l=7×135
l=945 so:-135+945=1080
Lucy sold 945 iPads and Ayu sold 135 iPads
What is an equation?"It is a mathematical statement which consists of equal symbol between two algebraic expressions."
For given question,
Let Lucy and Ayu sold 'x' and 'y' iPads respectively.
Lucy and Ayu sold a total of 1,080 iPads.
So, we get an equation,
⇒ x + y = 1080 ...............(i)
Lucy sold 7 times as many as Ayu.
So we get the second equation as,
⇒ x = 7y ................(ii)
Substitute above value of x in equation (i)
⇒ x + y = 1080
⇒ 7y + y = 1080
⇒ 8y = 1080
⇒ y = 135
This means, Ayu sold 135 iPads
Substitute above value of y in equation (ii)
⇒ x = 7(135)
⇒ x = 7 × 135
⇒ x = 945
This means, Lucy sold 945 iPads.
Therefore, Lucy sold 945 iPads and Ayu sold 135 iPads
Learn more about equation here:
https://brainly.com/question/649785
#SPJ2
The total surface area is _ square centimeters no freaking links bro
Answer:
180
Step-by-step explanation:
Find the area of each side by multiplying the length and width, times this answer by 2 since each face has another congruent face and then add them all up like (6*8*2)+(6*3*2)+(8*3*2)
Answer: Im most likely wrong since I suck at this stuff, but I think its 180
Biologists are interested in how temperature changes might affect the frequency of mating calls of frogs. Twenty gray tree frogs are randomly chosen for a study. For each frog, the temperature of its habitat (in degrees Celsius) and the frequency of its mating call (in tones per second) are recorded. The 96 percent confidence interval for estimating the population slope of the linear regression line predicting mating call frequency based on habitat temperature is given by 2.341±0.768. Assume that the conditions for inference for the slope of the regression line have been met. Which of the following is the correct interpretation of the calculated confidence interval?
a. We are 96 percent confident that the increase in mating call frequency of an individual frog when its habitat temperature increases by 1 degree Celsius is between 1.573 and 3.109 tones per second.
b. We are 96 percent confident that the average increase in mating call frequency in the sample of frogs when habitat temperature increases by 1 degree Celsius is between 1.573 and 3.109 tones per second.
c. We are 96 percent confident that the average increase in mating call frequency in the population of frogs when habitat temperature increases by 1 degree Celsius is between 1.573 and 3.109 tones per second.
d. We are 96 percent confident that the average increase in habitat temperature in the sample of frogs when mating call frequency increases by one tone per second is between 1.573 and 3.109 degrees Celsius.
e. We are 96 percent confident that the average increase in habitat temperature in the population of frogs when mating call frequency increases by one tone per second is between 1.573 and 3.109 degrees Celsius.
Answer:
c. We are 96 percent confident that the average increase in mating call frequency in the population of frogs when habitat temperature increases by 1 degree Celsius is between 1.573 and 3.109 tones per second.
Step-by-step explanation:
x% confidence interval:
A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.
The 96 percent confidence interval for estimating the population slope of the linear regression line predicting mating call frequency based on habitat temperature is given by 2.341±0.768.
This means that the 96% CI is between:
2.341 - 0.768 = 1.573
2.341 + 0.768 = 3.109
Which of the following is the correct interpretation of the calculated confidence interval?
We are 96% sure that the population mean(population of frogs) in mating call frequency is in this interval. So the correct answer is given by option c.
cuantos kilogramos
equivale la fracciom 11/25
Answer:
En español:
11/25 = 0.44
0.9702 porque multiplica por 2.205.
In English:
11/25 = 0.44
0.9702 because you multiply by 2.205.
How can you break up the figure into familiar shapes to determine the area?
A smaller rectangle is cut out of a larger rectangle. The larger rectangle has a base of 6 yards and height of 7 and one-fourth yards. The smaller rectangle has a base of 3 and two-thirds yards and height of 5 yards.
Subtract the area of the 5 yd by 3 and two-thirds yd rectangle from the area of the 6 yd by 7One-fourth yd rectangle.
Add the area of the 5 yd by 3 and two-thirds yd rectangle to the area of the 6 yd by 7One-fourth yd rectangle.
Subtract the area of the 6 yd by 7One-fourth yd rectangle from the area of the 5 yd by 3 and two-thirds yd rectangle.
Multiply 6 yd by 7One-fourth yd and subtract 5 and 3 and two-thirds from the product.
Answer:
a
Step-by-step explanation:
edge 2021
Answer:
A: Subtract the area of the 5 yd by 3 and two-thirds yd rectangle from the area of the 6 yd by 7 One-fourth yd rectangle.
Step-by-step explanation:
Just did the test on edge
Katie wants to collect over 100 seashells. She already has 34 seashells in her collection. Each day, she finds
12 more seashells on the beach, Katie can use fractions of days to find seashells.
Write an inequality to determine the number of days, d, it will take Katie to collect over 100 seashells,
Graph the solution set to this inequality.
1
0 1 2
3
4
5
6
7
8
9
10
He
Answer:
your answer will be [tex]d\geq 5.5[/tex]
Step-by-step explanation:
hope it helps
20>5 + 2n - 9
Plz help me with this
Step-by-step explanation:
20>5+2n-9
20+9>5+2n
29-5>2n
n>12
hope it helps.
2 Write 3 x 10 in standard notation.
Answer:
30
Step-by-step explanation:
3 x 10 = 30
add the 0 from ten to 3 and you get 30
Help please someone please
Answer:
lateral area of cylinder =2×pi ×radius×height
lateral area of cylinder =2×3.14×1×2
lateral area of cylinder=12.56 unit²
1 Anthony purchased a car for $9,400. He paid 6.5% sales tax. How much tax did he pay?
Answer:
$8789
Step-by-step explanation:
you suptract 9,400. and 6.5%
Answer:
answer is $8789
Step-by-step explanation:
she is correct