Answers
Answer:
PR = 16
SR = 12
Step-by-step explanation:
6/8 = (x-3)/(x+1)
8x-24 = 6x+6
simplify
2x = 30
x = 15
PR = 15 + 1 = 16
SR = 15 - 3 = 12
Related Questions
he temperature at any random location in a kiln used in the manufacture of bricks is normally distributed with a mean of 925 and a standard deviation of 60 degrees. If bricks are fired at a temperature above 1150, they will crack and must be disposed of. If the bricks are placed randomly throughout the kiln, the proportion of bricks that crack during the firing process is closest to
Answers
Answer:
The proportion of bricks that crack during the firing process is 0.0001 = 0.01%.
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 zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
Mean of 925 and a standard deviation of 60 degrees.
This means that [tex]\mu = 925, \sigma = 60[/tex]
The proportion of bricks that crack during the firing process is closest to
This is 1 subtracted by the pvalue of Z when X = 1150. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{1150 - 925}{60}[/tex]
[tex]Z = 3.75[/tex]
[tex]Z = 3.75[/tex] has a pvalue of 0.9999
1 - 0.9999 = 0.0001
The proportion of bricks that crack during the firing process is 0.0001 = 0.01%.
A researcher wants to test the claim that the proportion of men who watch television regularly is greater than the proportion of women who watch television regularly. She finds that 56 of 70 randomly selected men and 47 of 85 randomly selected women report watching television regularly. A 95% confidence interval for the difference in population proportions is (0.10581, 0.38831). Which of the statements gives the correct outcome of the researcher's test of the claim?A. Because the confidence interval is positive, the researcher can conclude the proportion of men and women who watch television regularly is the same.
B. Because the confidence interval is positive, the researcher can conclude the proportion of men and women who watch television regularly may be the same.
C. Because the confidence interval is positive, the researcher can conclude there is a greater proportion of women than men who watch television regularly.
D. Because the confidence interval is positive, the researcher can conclude there is a greater proportion of men than women who watch television regularly.
E. The researcher cannot draw a conclusion about a claim without performing a significance test.
Answers
Answer:
The answer is D. Because the confidence interval is positive, the researcher can conclude there is a greater proportion of men than women who watch television regularly.
Step-by-step explanation:
We can agree that the lower and upper bound of the confidence interval is positive, meaning that because the confidence interval represents the range about the difference in proportions, it being positive must mean that one of the proportions is bigger than the other. Quickly calculating the proportions shows us that men (56 / 70) watch television more frequently than women (47 / 85).
Because the confidence interval is positive, the researcher can conclude that men watch television more frequently than women. Option D is correct.
What is Statistic?The statistic is the study of mathematics that deals with relations between comprehensive data.
Here,
It is supposed to be agreed that the bottom and upper bounds of the confidence interval are positive, which means that because the confidence interval represents the range of the proportional difference, it must be positive if one of the proportions is larger than the other. Men (56 / 70) watch television more frequently than women (47 / 85), according to a quick calculation.
Thus, Because the confidence interval is positive, the researcher can conclude that men watch television more frequently than women. Option D is correct.
Learn more about Statistics here:
https://brainly.com/question/23091366
#SPJ5
Smallest number to the largest number 0.078,0.78,0.87,0.708
Answers
The further down the number is after the decimal point , the smaller it is; for example, 0.005 is smaller than 0.05. Hope that helped.
Answer:
Smallest: 0.078, 0.708, 0.78, 0.87 :Largest
Step-by-step explanation:
Which of the following examples has a unit rate of 70 miles per hour? Select all
that apply.
A) 210 miles in 3 hours
B) 420 miles in 6 hours
C) 280 miles in 5 hours
D) 560 miles in 8 hours
E) 560 miles in 7 hours
Answers
Answer:
A, B and D are the answers.
Answer:
A, B, D.
Step-by-step explanation:
I’ll give brainliest! Can someone help me with this please!!!
Answers
Answer:
120 yards
Step-by-step explanation:
Answer:
360 ft.
Step-by-step explanation:
You multiply the number of total yards, which is 120, by 3 to get feet.
The population of a city on April 15, 1915, was 47,175. During the period between March 1 and July 1, 1915, 1,325 new cases of smallpox occurred in the city. Of these cases, 642 persons were ill with smallpox according to surveillance reports on June 1, 1915. The monthly incident rate (per 1,000) of active cases of influence for the 4-month period was:
Answers
Answer:
the incidence rate is 28.47
Step-by-step explanation:
The computation of the monthly incident rate of active cases is shown below:
Incidence rate is
= 1325 ÷ (47175 - 642) × 1000
= (1325 ÷ 46533 ) × 1000
= 28.47
hence, the incidence rate is 28.47
You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house how tall does the ladder need to be?
Answers
Answer:
15 ft TRUST ME I LOVE MATH
Can I have the answer
Answers
Answer:
to what?
Step-by-step explanation:
Hi please help me i will mark as brainiest just please help!
Answers
Answer:
B
Step-by-step explanation:
Kahlil wants it to be more than 10 seconds long, and his friend wants it 5 seconds longer than that. So it has to be at least 10 + 5 seconds long or 15 seconds. B is the only option with >15, and all the possible track lengths below satisfy the inequality.
giving brainliest !! *easy*
Answers
Solve | 2x - 6 | = |x| by graphing
Answers
Answer:
X=2 & X=6
Step-by-step explanation:
If you graph the equation (I recommend using desmos) you can see that X equals 2 & 6.
Olivia baked 21 mini-loaves of banana bread to be sliced for snacks at a craft fair. She will place an equal number of loaves in 4 different locations.
How many loaves will be at each location?
Divide to find the quotient and remainder.
r
4 parenrightzb 21
Decide how to use the quotient and remainder to answer the question.
There will be loaves at each location.
Answers
5.25
If 1/4 of a pound costs $3,
how much is 1 pound?
Answers
Answer:
$12
Step-by-step explanation:
Answer: $12
Step-by-step explanation: 3x4=12
Write the equation of line whose b= -1 and m=5
Answers
Answer:
Step-by-step explanation:
y=mx+b
y=5x-1
Answer:
Step-by-step explanation:
use the slope intercept from of a line, where
y = mx + b
we're given m , and b
y = 5x -1
that's your answer
Solve: 64-3x-3 .64+22=38
Answers
4.0/5
136
The answer is x = -8/9.
Hope you have a good rest of your day. :)
Answer:
B. [tex]x=-\frac{8}{9}[/tex]
Step-by-step explanation:
edge 2021
:) Good luck, loves!
In the cylinder, the radius of the circular base is 3.5 centimeters, and the height of the cylinder is 11 centimeters. The volume of the cylinder is
Answers
Answer:
33.69[tex]\pi[/tex] or 105.83
Step-by-step explanation:
Volume for a cylinder is
V= [tex]\pi r^{2}h[/tex]
we need to find the radius from the base
B = 2[tex]\pi[/tex]r
B= 3.5/2 = 1.75
V =[tex]\pi 1.75^{2}*11[/tex]
V = 33.69[tex]\pi[/tex] or 105.83 depending if you want it in pi for or not
Artie ate 1/5 of a box of cereal last week and 1/5 of the box more this week. How much of Arties box of cereal is left?
Answers
Solve the triangle.
a = 1, b = 2, y = 70°
(Do not round until the final answer. Then round to the nearest tenth as needed.)
Answers
Answer:
cute scalene triangle.
Sides: a = 1 b = 2 c = 1.906
Area: T = 0.94
Perimeter: p = 4.906
Semiperimeter: s = 2.453
Angle ∠ A = α = 29.543° = 29°32'36″ = 0.516 rad
Angle ∠ B = β = 80.457° = 80°27'24″ = 1.404 rad
Angle ∠ C = γ = 70° = 1.222 rad
Height: ha = 1.879
Height: hb = 0.94
Height: hc = 0.986
Median: ma = 1.888
Median: mb = 1.147
Median: mc = 1.262
Inradius: r = 0.383
Circumradius: R = 1.014
Vertex coordinates: A[1.906; 0] B[0; 0] C[0.166; 0.986]
Centroid: CG[0.691; 0.329]
Coordinates of the circumscribed circle: U[0.953; 0.347]
Coordinates of the inscribed circle: I[0.453; 0.383]
Exterior (or external, outer) angles of the triangle:
∠ A' = α' = 150.457° = 150°27'24″ = 0.516 rad
∠ B' = β' = 99.543° = 99°32'36″ = 1.404 rad
∠ C' = γ' = 110° = 1.222 rad
Step-by-step explanation:
Frank bought 3.86 lbs of cherry and lime jelly beans for his birthday party. If 1.56 lbs were cherry flavor, how many pounds were lime flavor?
Answers
Answer:
2.3 lbs.
Step-by-step explanation:
Total=3.86
Cherry=1.56
3.86-1.56= 2.3
Jessica has just purchased a new purse in the shape of a rectangular box to match her favorite shoes. The purse has a length of 15 cm, a width of 6.4 cm, and a height of 8 cm. What is the volume of the purse?
Answers
PLZ HELP I GIVE BRAINLIEST!!! (Plz show work)
Answers
Answer:
800 × ( 3.87 ÷ 100 ) × 1
= 30.96
Jayden wants to lay sod on his front yard and on half of his back yard. His front yard has a length of 50 feet and a width of 80 feet. His back yard has a length of 20 feet and a width of 30 feet. How many square feet of sod does Jayden need to purchase? OA. 4,300 square feet OB. 4,600 square feet OC. 2,600 square feet OD. 4,150 square feet
Answers
Answer:
4,300 square feet
Step-by-step explanation:
First, calculate the area of Jayden's front yard.
50 feet × 80 feet = 4,000 square feet
Next, find the area of half of Jayden's back yard.
1/2(20 feet × 30 feet) = 300 square feet
Last, add the two areas together.
4,000 feet + 300 feet = 4,300 square feet
So, Jayden needs to purchase 4,300 square feet of sod
Amy’s watch loses time at the rate of 3 minutes every 5 days. Fine the number of days before the watch loses one hour or time
Please note that this is directly proportional applications and the formula is output unit/input unit times input unit
Answers
Answer:
100 daysStep-by-step explanation:
3 min loss ⇔ 5 days60 min loss ⇔ x daysCross multiply and solve for x:
3x = 5*603x = 300x = 300/3x = 100 daysAnswer this ASAP the last question that due 5 minutes
Answers
Answer:
C
Step-by-step explanation:
If you graph the points, count boxes from the orgin (0,0).
You will have to go 3 to the right (on x), and up 6 (on y).
Rewrite 8y - 1/2 (4y - 16) in a different form
Answers
Answer:
8y-2y+8=0
6y+8=0
y=8/6=4/3
hi good day plss help me plssssssssss i need yoyre help now plss
Answers
Answer:
6.c 7.c 8. b 9. a 10. a
Step-by-step explanation:
6=c as 39.10-19.56
7. 89.2-78.6
8. 8.03-5.1
9. 40.98-15.6
10.55.6-47.5
Suppose you are to select a password of size 4. The first character should be any lowercase letter or a digit, while the second should be a non-zero digit. The third should be any lower case letter, and the fourth should be any lowercase letter, which is different from the third. b. Consider a group of ten students, and six of them are boys. A committee of 3 students is expected to select from the above group. How many committees can you select with at least two girls
Answers
First question seems incomplete :
Answer:
40 ways
Step-by-step explanation:
Question B:
Number of boys = 6
Number of girls = 4
Number of people in committee = 3
Number of ways of selecting committee with atleast 2 girls :
We either have :
(2 girls 1 boy) or (3girls 0 boy)
(4C2 * 6C1) + (4C3 * 6C0)
nCr = n! ÷ (n-r)!r!
4C2 = 4! ÷ 2!2! = 6
6C1 = 6! ÷ 5!1! = 6
4C3 = 4! ÷ 1!3! = 4
6C0 = 6! ÷ 6!0! = 1
(6 * 6) + (4 * 1)
36 + 4
= 40 ways
Select the null and the alternative hypotheses for the following claims:
a. "I am going to get the majority of the votes to win this election."
multiple choice 1
H0: μ = 0.50; HA: μ ≠ 0.50
H0: p ≤ 0.50; HA: p > 0.50
H0: p ≥ 0.50; HA: p < 0.50
b. "I suspect that your 10-inch pizzas are, on average, less than 10 inches in size."
multiple choice 2
H0: μ ≥ 10; HA: μ < 10
H0: p ≥ 10; HA: p < 10
H0: μ = 10; HA: μ ≠ 10
c. "I will have to fine the company since its tablets do not contain an average of 250 mg of ibuprofen as advertised."
multiple choice 3
H0: μ = 250; HA: μ ≠ 250
H0: p ≤ 250; HA: p > 250
H0: p = 250; HA: p ≠ 250
Answers
Answer:
a. H0: p ≥ 0.50; HA: p < 0.50
b. H0: μ ≥ 10; HA: μ < 10
c. H0: μ = 250; HA: μ ≠ 250
Step-by-step explanation:
a. "I am going to get the majority of the votes to win this election."
This sentence means that the probability of winning is more than fifty percent or more than half.The null hypothesis would be
H0: the probability of winning is more than 50 %
against the claim that
Ha: the probability of winning is less than 50%
So the best choice would be option c
H0: p ≥ 0.50; HA: p < 0.50
b. "I suspect that your 10-inch pizzas are, on average, less than 10 inches in size."
The claim is that the pizzas are less than 10 inches in size.
which can be written as alternate hypothesis
Ha: u < 10
so the best choice would be option a
H0: μ ≥ 10; HA: μ < 10
c. "I will have to fine the company since its tablets do not contain an average of 250 mg of ibuprofen as advertised."
In this statement the claim is that an average of ibuprofen do not contain 250 mg as advertised.
the alternate hypothesis would be u ≠ 250 mg
Ha: μ ≠ 250 and the null hypothesis is the reverse of the aalternate hypothesis.
so the best option would be part a
H0: μ = 250; HA: μ ≠ 250
Can please someone help with this two problems?
Answers
Answer:
A and C
Step-by-step explanation:
20) Since the triangles are similar, you can say that 98 corresponds to 42 and 77 corresponds to 3x+6, because of this you can write an equation ((98/77)(3x-6) =42) and then simplify to get x = 13.
21) Since ABC and DFE are similar, we can say that 2x+2 corresponds to x+3 and 24 corresponds to 16. You can write this as the equation (24/2x+2)(x+3) = 16 and simplify to get x=5.
I hope this helps :)
A jug contains 4 gallons of water. How many quarts of water does the jug contain? The jug contains quarts of water.
Answers
Answer:
It contains 16 quarts of water
Step-by-step explanation:
Just do 4 gallons by the 4 quarts in one gallon and youll get 16
Answer:
One gallon is equivalent to four quarts. so 4 gallons equal 4×4=16 quarts.