9514 1404 393
Answer:
5/36
Step-by-step explanation:
Colin's fraction of the prize is ...
5/(3+4+5) = 5/12
1/3 of that is ...
(1/3)(5/12) = 5/36
Colin gave 5/36 of the prize to charity.
Find the surface area
Answer:
here
h=4 in
r=8in
total surface area =2πr(r+h)=2π×8(8+4)=192π or 603.18in²
Answer all four and I’ll give BRAINLIEST...(Supplementary angles, Complementary angles, or Adjacent angles)
Answer: Answers and explanations down below.
Step-by-step explanation:
1. 90- 24= 66
m<FCG= 66 degrees
2. 24+31=55
180-55= 125
m<BCD= 125 degrees
3. 90+24=114
m<FCB=114 degrees
4. 90+66=156
m<ACG=156 degrees
Step-by-step explanation:
FCG=66°
BCD=125°
FCB=114°
ACG=156°
Mikayla earns $ 100 every 8 hours at her new job. At
this rate, how much will she earn in 14 hours?
Answer:
$175
Step-by-step explanation:
$100/8 hours = $12.5 hourly
$12.5 * 14 hours = $175
A civil engineer is analyzing the compressive strength of concrete. Compressive strength is normally distributed with A random sample of 12 sample specimens has a mean compressive strength of psi. Round your answers to 1 decimal place. (a) Calculate the 95% two-sided confidence interval on the true mean compressive strength of concrete.
Complete Question
A civil engineer is analyzing the compressive strength of concrete. Compressive strength is normally distributed with[tex]\sigma^2=1000[/tex]. A random sample of 12 sample specimens has a mean compressive strength of [tex]\=x=3207psi[/tex]. Round your answers to 1 decimal place. (a) Calculate the 95% two-sided confidence interval on the true mean compressive strength of concrete.
Answer:
[tex]CI=(3189.1,3224.9)[/tex]
Step-by-step explanation:
From the question we are told that:
Sample size [tex]n=12[/tex]
Standard deviation [tex]\sigma^2=1000psi^2\\\sigma=\sqrt{1000} \\\sigma=31.6[/tex]
Sample mean [tex]\=x=3207[/tex]
Confidence level =95%
[tex]\alpha=100-95\\\alpha=0.05[/tex] significance level
From table \alpha 0.05
Gives
[tex]Z_c=1.96[/tex]
Generally the equation for confidence interval is mathematically given by
[tex]CI=(\=x-\frac{z_c*\sigma}{\sqrt{n} } ),\=X+\frac{Z_C*\sigma}{\sqrt{12} })[/tex]
[tex]CI=(3207-\frac{1.96*31.6}{\sqrt{12} } ),3207+\frac{1.96*31.6}{\sqrt{12} })[/tex]
[tex]CI=(3189.1,3224.9)[/tex]
Nkechi wants to use a one-sample z interval to estimate what proportion of candies in a bag are red. She
takes a random sample of 24 of the 80 total candies and finds that 18 of the candies in the sample are red.
Which conditions for constructing this confidence interval did Nkechi's sample meet?
Choose all answers that apply:
The data is a random sample from the population of interest.
B
The observed counts of successes and failures are both sufficiently large.
Individual observations can be considered independent.
Answer:
The data is a random sample from the population of interest
Step-by-step explanation:
.
There are 25 marbles in the box. There are 10 red marbles , 8 blue marbles , and 7 yellow marbles . What percent of the marbles are NOT yellow ?
A. 28%
B. 72%
C. 32%
D. 40%
Based on the picture what is the Minimum, Maximum, Median, Q1, Q3, And the IQR?
Answer:
lol I hope I'm right ...
Step-by-step explanation:
minimum=2, maximum=10, Q1=3, median=6, Q3=8, IQR= 5
An auto manufacturing company wants to estimate the variance of miles per gallon for its auto model AST72. A random sample of 24 cars of this model showed that the standard deviation of miles per gallon is 0.58. At the alpha = 1%, can the research department conclude that the population variance of miless per gallon for AST72 is decreased from historical value of 0.35?
A. At alpha = 1%, they reject the null hypothesis. The variance of miles per gallon for AST72 model has not decreased from the historical value of 0.35.
B. At alpha = 1%, they failed to reject the null hypothesis. The variance of miles per gallon for AST72 model has not decreased from the historical value of 0.35.
C. At alpha = 1%, they failed to reject the null hypothesis. The variance of miles per gallon for AST72 model has decreased from the historical value of 0.35.
D. At alpha = 1%, they reject the null hypothesis. The variance of miles per gallon for AST72 model has not decreased from the historical value of 0.35.
Answer:
Since p-value ( 0.4467 ) is greater than significance level ( 0.01 )
Fail to Reject Null hypothesis H₀ at 1%.
At 1% significance level, we can conclude that, population variance is maintained at historic value.
Thus, Option ((B) At alpha = 1%, they failed to reject the null hypothesis. The variance of miles per gallon for AST72 model has not decreased from the historical value of 0.35) is the correct answer.
Step-by-step explanation:
Given the data in the question;
sample size n = 24
Sample Standard deviation S = 0.58
Let δ represent the population standard deviation
so we will test;
H₀ : δ = √0.35 ≈ 0.5916
H₁ : δ < √0.35 ≈ 0.5916
Test Statistics;
we determine our test statistics as follows;
Z = [√(2(n-1))] × [ lnS - lnδ ] ~ N(0, 1 )
Now, Under H₀, [tex]Z_{obs[/tex] = [√(2(24-1))] × [ ln (0.58 / 0.5916) ]
= 6.7823 × -0.0198026
= -0.134
From z-table;
p-value = P( z < [tex]Z_{obs[/tex] ) = p( z < -0.134 ) = 0.4467
p-value = 0.4467
Since p-value ( 0.4467 ) is greater than significance level ( 0.01 )
Fail to Reject Null hypothesis H₀ at 1%.
At 1% significance level, we can conclude that, population variance is maintained at historic value.
Thus, Option ((B) At alpha = 1%, they failed to reject the null hypothesis. The variance of miles per gallon for AST72 model has not decreased from the historical value of 0.35) is the correct answer.
Your list SUMS
MY NOTES
ASK YOUR TEACHER
1. (-/2 Points)
DETAILS
LARCOLALGRMRP7 2.4.092.
An above-ground swimming pool with a square base is to be constructed such that the surface area of the pool is 561 square feet. The heighth of the pool is to be 4 feet (see figure.) What
should the dimensions of the base be? (Hint: The surface area is S=x + 4xh.)
Answer:
then ask your teacher happy birthday to u happy birthday to u
. happy to 6
please hurry!! i have a D in math
Answer:
60, and m = 30, and 1 min 20.
Step-by-step explanation:
For A, the 60 is the starting point meaning that the temperature was intitally 60 degrees
For B, if we divided both sides by 2 we get the answer m = 30, meaning every minute, it was up 30 degrees.
For C, we know that in one minute it will be 90 degrees, so 60 seconds = 30 degrees. So lets divided both sides by 3 to get 10 degrees. We get 20 seconds. It will take 1 min and 20 for it to be 100 degrees.
Hopefully thats right.
A probability model includes p(red)=2/7 and P(blue)=3/14. Select all the probabilities that could complete the model.
Answer Key:
A: P(green)= 2/7, P(yellow)=2/7
B: P(green)=3/8, P(yellow)=1/8
C: P(green)=1/4 P(yellow)=1/4
D: P(green)= 5/21 Pyellow)= 11/21 E. P(green)= 3/7 P(yellow)=1/14
The probabilities that could complete the model and maintain a total sum of 1 are options B and E.
B: P(green) = 3/8, P(yellow) = 1/8
E: P(green) = 3/7, P(yellow) = 1/14
To determine the probabilities that could complete the model, we need to consider the sum of all probabilities. In a probability model, the sum of all probabilities should equal 1.
Given the probabilities P(red) = 2/7 and P(blue) = 3/14, let's calculate the sum:
P(red) + P(blue) = 2/7 + 3/14 = 4/14 + 3/14 = 7/14 = 1/2
Since the sum of P(red) and P(blue) is 1/2, we need to find the probabilities for P(green) and P(yellow) that, when added to 1/2, give a total sum of 1.
Looking at the answer key options:
A: P(green) = 2/7, P(yellow) = 2/7
B: P(green) = 3/8, P(yellow) = 1/8
C: P(green) = 1/4, P(yellow) = 1/4
D: P(green) = 5/21, P(yellow) = 11/21
E: P(green) = 3/7, P(yellow) = 1/14
Let's check the sums:
A: P(red) + P(blue) + P(green) + P(yellow) = 2/7 + 3/14 + 2/7 + 2/7 = 4/14 + 3/14 + 4/14 + 4/14 = 15/14 ≠ 1 (incorrect)
B: P(red) + P(blue) + P(green) + P(yellow) = 2/7 + 3/14 + 3/8 + 1/8 = 4/14 + 3/14 + 6/14 + 1/14 = 14/14 = 1 (correct)
C: P(red) + P(blue) + P(green) + P(yellow) = 2/7 + 3/14 + 1/4 + 1/4 = 4/14 + 3/14 + 7/14 + 7/14 = 21/14 ≠ 1 (incorrect)
D: P(red) + P(blue) + P(green) + P(yellow) = 2/7 + 3/14 + 5/21 + 11/21 = 6/14 + 3/14 + 10/14 + 11/14 = 30/14 ≠ 1 (incorrect)
E: P(red) + P(blue) + P(green) + P(yellow) = 2/7 + 3/14 + 3/7 + 1/14 = 4/14 + 3/14 + 6/14 + 1/14 = 14/14 = 1 (correct)
Based on the calculations, the probabilities that could complete the model and maintain a total sum of 1 are options B and E. So, the correct answers are:
B: P(green) = 3/8, P(yellow) = 1/8
E: P(green) = 3/7, P(yellow) = 1/14
To learn more about the probability;
brainly.com/question/11234923
#SPJ1
Work out the equation of the line that
is parallel to the line y= 5x - 3
passes through (-2, -4)
Answer:
y = 5x +6
Step-by-step explanation:
the slope of the given equation is 5. a slope of a line parallel has the same slope. so 5
y- -4 = 5(x - -2)
y+4 = 5x +10
y = 5x +6
25 points!! Pls help!! If not I will probably get a D pls I will mark brainliest but will report if answer is unrelated
Answer:
18 cm!
Step-by-step explanation:
ayudenme por fis .....doy corona
A pigeon can fly 800 meters in one minute. How far does a pigeon fly in 25 minutes?
Answer:
d 20,000
Step-by-step explanation:
You want to know if an octopus (octopi are very intelligent!) can tell the difference between circles and rectangles. You provide each octopus with one circular disk and one flattened rectangle. You hide food under the rectangle. After several trials, you then count how many times the octopus picks up the circle and how many times it picks up the rectangle.
You get the following results:
Circles: 6
Rectangles: 19
Can the octopus tell the difference between circles and rectangles?
Answer:
Yes
Step-by-step explanation:
The octopus chose the rectangles 68% of the time. From this observation you can tell that the octopus has learned there is food under the rectangular shape. Its cognitive abilities are less than a human's, but they are able to discern a rectangle from a circle with success.
Good luck ^^
1. Which classifications describe this figure?
2. Which classifications appear to describe both of these figures?
→ Parallelogram
→ Trapezoid
→ Quadrilateral
→ Square
→ Rhombus
→ Rectangle
Answer:
parallelogram
hope this helps you ☺️☺️
PLEASE HELP- John and Ariana bought school supplies. John spent $10.60 on 5 notebooks and 5 pens. Ariana spent $7.30 on 3 notebooks and 4 pens. What is the cost of 1 notebook & what is the cost of one pen? PLEASE HELP
Answer:
Cost of one notebook is 1.40 and one pen is1.40andonepenis0.90
Step-by-step explanation:
Let,
Notebook = x
Pen = y
According to given statements;
\begin{gathered}Multiplying\ Eqn\ 1\ by\ 4\ and Eqn\ 2\ by\ 5\\4(5x+4y=10.60)\\20x+16y=42.40 \ \ \ Eqn\ 3\\ 5(4x+3y=8.30)\\20x+15y=41.50 \ \ \ Eqn\ 4\\Subtracting\ Eqn\ 4\ from\ Eqn\ 3\\(20x+16y)-(20x+15y)=42.40-41.50\\20x+16y-20x-15y=0.90\\y=0.90\\Putting\ value\ of\ y\ in\ Eqn\ 1\\5x+4(0.90)=10.60\\5x+3.60=10.60\\5x=10.60-3.60\\5x=7\\Dividing\ both\ sides\ by\ 5\\\frac{5x}{5}=\frac{7}{5}\\x=1.40\end{gathered}Multiplying Eqn 1 by 4 andEqn 2 by 54(5x+4y=10.60)20x+16y=42.40 Eqn 35(4x+3y=8.30)20x+15y=41.50 Eqn 4Subtracting Eqn 4 from Eqn 3(20x+16y)−(20x+15y)=42.40−41.5020x+16y−20x−15y=0.90y=0.90Putting value of y in Eqn 15x+4(0.90)=10.605x+3.60=10.605x=10.60−3.605x=7Dividing both sides by 555x=57x=1.40
Cost of one notebook is 1.40 and one pen is1.40andonepenis0.90
Divide. Round to the nearest tenth. .48÷9.23
[tex].48 \div 9.23[/tex]
Please help me PLEASE and NO LINKS OR YOU WILL BE REPORTED. I need help choosing the right statements also the line plot I chose is correct so you can use it to help you.
The first one is “The greatest length is 2 inches more than the least length.”
The second is “Less than half the lures are at least 3 inches long.”
The third is “The number of lures greater than 2 1/2 inches long is less than the number of lures less than 2 1/2 inches
The fourth is “The greatest length is 2 inches.”
The fifth is “The number of lures greater than 2 1/2 inches long is equal to the number of lures less than 2 1/2.” Please help me
Answer:
why no links? also I think the answer is 5 but I'm just guessing
Answer:
g sa Bshsixuzsh- shshshakka
State whether the standardized test statistic t indicates that you should reject the null hypothesis. Explain.
(a) t = 1.828
(b) t = 0
(c) t = 1.735
(d) t = -1.826
Part C Write an equation showing the relationship between the number of baskets (b) made from outside the three-point line and the number of points scored (P).
Please help!!!!!
Answer:
p is = to 3b
Step-by-step explanation:
so i did the test a
Mike works for his father sanding wooden rocking chairs. He earns $6 per chair. How many chairs does he need to sand in order to buy a portable CD player for $49.99
April and Cody invest $5,000 each at their local bank. April invests at a 4% simple interest rate for three years. Cody invests at a 4% compound interest rate, and earns $624.32 in interest. What is the difference in their account balances at the end of 3 years?
Answer:
106.43
Step-by-step explanation:
The difference in their account balances at the end of 3 years is $24.32
Calculations and ParametersTo solve the compound interest for Cody
First, convert R as a percent to r as a decimal
r = R/100
r = 4/100
r = 0.04 rate per year,
Then solve the equation for A
A = P(1 + r/n)nt
A = 5,000.00(1 + 0.04/1)(1)(3)
A = 5,000.00(1 + 0.04)(3)
A = $5,624.32
To solve for the simple interest for April
P * T * R/100
5000 * 4 * 3/100
= 60,000/100
= 600.
We add the S. I of April's investment
= 5,000 + 600
= $5600.
Therefore, the difference between their account balances is $5,624.32 - $5600 = $24.32
Read more about compound interest here:
https://brainly.com/question/24924853
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A 20 ft ladder leans against a building and reaches a point 13 ft above the ground. Find, to the nearest degree, the angle that the ladder makes with the ground
8b + 4 - 4b + 2 = what
8b+4-4b+2= 4b+6
collect the like terms and add
Find the probability that a randomly
selected point within the circle falls
in the red shaded area.
r= 4 cm
[? ]%
Round to the nearest tenth of a percent.
please help
Answer: 31.8
Step-by-step explanation:
The probability that a randomly selected point within the circle falls
in the red shaded area is; 15.9%
What is the probability?The area of the circle is gotten from the formula;
A = πr²
A = π * 4²
A = 50.265 cm²
Area of triangle = ¹/₂ * bh
Here b = h = 4. Thus;
A = ¹/₂ * 4 * 4
A = 8 cm²
Thus;
P(randomly selected is shaded) = 8/50.265
P(randomly selected is shaded) = 0.159 = 15.9%
Read more about probability at; https://brainly.com/question/25870256
Which does NOT represent the interior angle measures of a triangle?
A.) 50, 750, 100°
B.) 10°, 80°, 90°
C.) 20°, 60°, 100°
D.) 45°, 45°, 45°
E.) 50°, 50°,80°
Answer:
A!! it does not equal 180 while the others do
Step-by-step explanation:
Answer:
A.
Step-by-step explanation:
An interior triangle always is 180 degrees. A. is the only answer that doesn't add up to 180 degrees.
A man earns $11.62 for each of the first 36 hours he works in one week and $17.43 in overtime pay for each additional hour he works in the same week.
How much money will he make if he works 48 hours in one week?
He will make s
if he works 48 hours in a week.
Answer:
21❄️....................
Choose 3 values for x that would make this inequality true.
X - 4<20
Answer:
X= 23, 22, 21, 20, 19, 18, 17 and so forth
Step-by-step explanation:
To make this inequality true then "X-4" would have to be less than 20, not equal or more than. 24-4=20 meaning the basis for the answer of X would start at 23