Answer:
b is 40
Step-by-step explanation:
Answer:
I think b = 40
Step-by-step explanation:
Sally built a rectangular prism using cubic units. What is the volume of the rectangular prism Sally built?
Answer:
64
Step-by-step explanation:
The volume of rectangular prisms is measured by l*w*h
And by counting the units of the length, width, and height are all 4 units long.
So take the numbers and plot them into the formula
4*4*4 = V
16 * 4 = V
64 = V
The prism is 64 cubic units.
Two 5-year girls, Alyse and Jocelyn, have been training to run a 1-mile race. Alyse's 1 mile time A is approximately Normally distributed with a mean of 13.5 and standard deviation of 2.5 minutes. Jocelyn's 1-mile time J is approximately Normally distributed with a mean of 12 minutes and a standard deviation of 1.5 minutes. Assuming A and J are independent random variables, what is the probability that Alyse has a smaller time than Jocelyn in a 1 mile race on a randomly selected day?
Answer:
1.7 × 10⁻⁴
Step-by-step explanation:
The question relates to a two sample z-test for the comparison between the means of the two samples
The null hypothesis is H₀: μ₁ ≤ μ₂
The alternative hypothesis is Hₐ: μ₁ > μ₂
[tex]z=\dfrac{(\bar{x}_1-\bar{x}_2)-(\mu_{1}-\mu _{2} )}{\sqrt{\dfrac{\sigma_{1}^{2} }{n_{1}}-\dfrac{\sigma _{2}^{2}}{n_{2}}}}[/tex]
Where;
[tex]\bar {x}_1[/tex] = 13.5
[tex]\bar {x}_2[/tex] = 12
σ₁ = 2.5
σ₂ = 1.5
We set our α level at 0.05
Therefore, our critical z = ± 1.96
For n₁ = n₂ = 23, we have;
[tex]z=\dfrac{(13.5-12)-(0)}{\sqrt{\dfrac{2.5^{2} }{23}-\dfrac{1.5^{2}}{23}}} = 3.5969[/tex]
We reject the null hypothesis at α = 0.05, as our z-value, 3.5969 is larger than the critical z, 1.96 or mathematically, since 3.5969 > 1.96
Therefore, there is enough statistical evidence to suggest that Alyse time is larger than Jocelyn in a 1 mile race on a randomly select day and the probability that Alyse has a larger time than Jocelyn is 0.99983
Therefore;
The probability that Alyse has a smaller time than Jocelyn is 1 - 0.99983 = 0.00017 = 1.7 × 10⁻⁴.
Refer the below solution for better understanding.
Step-by-step explanation:
Given :
Standard Deviation, [tex]\rm \sigma_1 = 2.5\; and\;\sigma_2= 1.5[/tex]
Calculation :
The null Hypothesis is [tex]\rm H_0: \mu_1\leq\mu_2[/tex]
The alternative Hypothesis is [tex]\rm H_a: \mu_1>\mu_2[/tex]
Now,
[tex]z = \dfrac{(\bar{x_1}-\bar{x_2})-(\mu_1-\mu_2)}{\sqrt{\dfrac{\sigma_1^2}{n_1}-\dfrac{\sigma_2^2}{n_2}} }[/tex] --------------- (1)
putting the values of
[tex]\bar{x_1}=13.5,\;\bar{x_2}=12,\;\sigma_1=2.5,\;\sigma_2=1.5[/tex]
in equation (1)
[tex]z=\dfrac{(13.5-12)-(0)}{\sqrt{\dfrac{2.5^2}{23}-\dfrac{1.5^2}{23}} }[/tex]
z = 3.5969
We reject the null hypothesis at
[tex]\alpha =0.05[/tex]
z-value is larger than the critical z.
3.5969 > 1.96
Therefore, there is enough statistical evidence to suggest that Alyse time is larger than Jocelyn in a 1 mile race on a randomly select day.
The probability that Alyse has a larger time than Jocelyn is 0.99983
Therefore, the probability that Alyse has a smaller time than Jocelyn is
[tex]1-0.99983 = 0.00017 = 1.7\times10^-^4[/tex]
For more information, refer the link given below
https://brainly.com/question/20165896?referrer=searchResults
pls help question attached
The amount that Ronnie earns, E, in terms of the number of hours that he works, h, is shown in
the graph below.
What is the constant of proportionality. E/h for this situation
Answer:
8
Step-by-step explanation:
The constant of proportionality bus the amount earned by Ronnie, E, all over the corresponding hours he used in working, h.
Constant of proportionality = [tex] \frac{E}{h} [/tex]
From the graph given, when h = 5, E = 40.
Therefore:
Constant of proportionality = [tex] \frac{E}{h} = \frac{40}{5} = 8 [/tex]
What do the four yellow tiles in the model of the equation below represent?
1
xxx
-4
4
-4x
4x
Given these two data sets, IQ-GPA and IQ-SAT, how would you predict Justin’s SAT score based on his GPA? Explain.
Answer:
First, use the equation of the trend line to find the IQ that is expected by the GPA. Next, use the other equation of the trend line to find the SAT that is predicted by the IQ.
Step-by-step explanation:
have a great day!
Answer:
First, use the equation of the trend line to find the IQ that is expected by the GPA. Next, use the other equation of the trend line to find the SAT that is predicted by the IQ.
Step-by-step explanation:
it was correct on edge
Find the slope of the line that passes through the points (2, 4) and (6, 12)
Answer:
Slope = 2
Step-by-step explanation:
To find slope, you use the formula [tex]\frac{y1-y2}{x1-x2}[/tex]
[tex]\frac{4-12}{2-6} = \frac{-8}{-4} = 2[/tex]
So the slope = 2
Can I get brainliest please? Thanks.
negative four times the sum of a number and 3 is at least 28, translate.
Answer: [tex]-4 * (n+3) \geq 28[/tex]
Step-by-step explanation:
Negative four -> [tex]-4[/tex]
Times the sum of a number and 3 -> [tex]-4 * (n + 3)[/tex]
Is at least 28 -> [tex]-4 * (n+3) \geq 28[/tex]
30 points for the right answer!
Answer:
The correct answer is Line EA and Line FG
Step-by-step explanation:
5 divided by 4= 25 divided by x
wHAT IS X
Answer:
x=20
Step-by-step explanation:
so 5/4 is 1.25
so 25/x=1.25
so to find x we do 25/1.25
when we do that we get 20 so then to check if it's right we divide 25/20 and we get 1.25 so it's right
Answer:
yeet
Step-by-step explanation:
Draw a number line diagram and write an expression to represent this situation: "On Tuesday at lunchtime, it was 29 ∘C. By sunset, the temperature had dropped to 16 ∘C.
Answer:
Step-by-step explanation:
look at the png
I will mark. so please I WANT AN A+!!!!!
Answer:
-4.5, -3 1/2, -3, -2.5, 4 1/2
Step-by-step explanation:
the higher the numbers as a negative, the smaller they are! :)
Answer:
from least to greatest
Step-by-step explanation:
1. -4.5
2.-3 1/2
3. -3
4.-2.5
5. 4 1/2
HAVE A NICE DAY HOPE U GET A A+
HELP ME WITH THE ANSWERS NOW
!!
Answer: QPR=31
Step-by-step explanation: first you would combine 3x and 7x which equals 10x. Then you combine -95 and -38 which equals -133. then you set up an equation like 10x - 133 = 47. Add 133 to both sides. 10x = 180. Divide both sides by 10. X= 18. 18 times 7 equals 126. 126 - 95 equals 31
1. –X + Y = -22X – Y = 6
2. X + Y = 5-2X + Y = -4
Answer:
1. –X + Y = -22X – Y = 6
2. X + Y = 5-2X + Y = -4
Step-by-step explanation:
PLEASE ANSWER WILL MARK AND 5 STARS PLEASE I BEG OF U
Which one is the best Rate
Answer:
venti is the best option bc who wants a small and grade is good too but you can get a large for a few cents more so venti is the way to go
The grande and venti sizes are a better value A tall beverage is 12 ounces, whereas a grande drink is 16 ounces and a venti drink is 24 ounces for cold drinks and 20 ounces for hot.
According to what I heard :3
Hope This Helped! May I have Brainliest? <3
Neurons are brain cells. Where would a new neuron come from?
Answer:
New neurons are born not from mature nerve cells but rather develop from neural stem cells that remain in our brains throughout life. Indeed, in some brain areas, there is continual turnover of neurons - old ones die and new ones are born - and these new neurons can participate in circuits that underlie learning.
Step-by-step explanation:
Jed is baking shortbread for a bake sale. The recipe calls for 1 1 4cups of flour and 1 2stick of butter. How many cups of flour will Jed need if he uses 3 sticks of butter?
Answer: [tex]7\dfrac12[/tex] cups of flour is required for 3 sticks of butter.
Step-by-step explanation:
We assume that quantity of flour is proportional to butter.
Given : The recipe calls of [tex]1\dfrac14[/tex] cups of flour and [tex]\dfrac12[/tex] stick of butter.
Let [tex]x_1=1\dfrac14=\dfrac{5}{4}[/tex] [tex]y_1=\dfrac{1}{2}[/tex]
For [tex]y_2=3[/tex] , we will find [tex]x_2[/tex] by using formula of direct proportion: [tex]\dfrac{x_1}{y_1}=\dfrac{x_2}{y_2}[/tex]
[tex]\dfrac{\dfrac{5}{4}}{\dfrac12}=\dfrac{x_3}{3}\\\\\Rightarrow\ \dfrac{5}{2}=\dfrac{x_3}{3}\\\\\Rightarrow\ x_3=\dfrac{5}{2}\times3= \dfrac{15}2=7\dfrac12[/tex]
Hence, [tex]7\dfrac12[/tex] cups of flour is required for 3 sticks of butter.
15/2 cups of flour!
What is the Reciprocal of 5/12
Answer:
12/5 just flip the numbers :D
Step-by-step explanation:
z+w−3=k
6z−10w=8
Answer:
if your looking for z it is 5/8k+2.375
Step-by-step explanation:
Answer:
Step-by-step explanation:
Please, include the instructions.
I'm assuming you want to solve this system of linear equations for z and w, assuming that k is an unknown constant.
Use the method of elimination by addition and subtraction. To eiiminate w, multiply all four terms of the first equation by 10, obtaining:
10 z + 10w - 30 = 10k
6z - 10 w = 80
Then 16z - 30 - 80 = 10k, or
16z -110 = 10k, Simplifying this, we get:
10(k + 11)
z = ---------------
16
Substituting this expression for z into the first equation, we get:
(10/16)(k + 11) + w - 3 = k. We must solve this for w:
-(10/16)(k + 11) + w - 3 = k), or
-(10/16)(k + 11) - w + 3 = -k
Then -(10/16)(k + 11) + 3 + k = w
and so the solution, in terms of the unknown constant k, is
10(k + 11)
( --------------, -(10/16)(k + 11) + 3 + k )
16
If you like skittles then you like candy True or false
Answer:
trueeeeeeeeeeeeeeeee
If x= 2 what does y equal
Answer:6
Step-by-step explanation:
4.8(x)+1.2(y)=2.4
y would equal -6.
4.8(2)+1.2(y)=2.4
9.6 + 1.2y = 2.4 subtract 9.6 from both sides
1.2y = - 7.2 divide by 1.2 on both sides
y = -6
Use the inverse relationship to complete the expression.
If i = square root of -1, then t^2= ?
Answer:
revertive is correct. The answer is -1
Step-by-step explanation:
Brian measures his height at 160cm to the nearest 10cm.
What is the tallest he could be?
Give the upper bound as your answer.
Answer:
170 cm is the tallest
what is the side length of 144 square miles and 134 square miles
Answer: square root of 144 = 12 miles
Square root of 134 = 11,57 miles
Use the table and graph that relates dog ages to human ages to
following question.
question: would there ever be one year assigned to two different quantities? explain.
please help ill mark brainlest and like and rate your answer.
Answer:
No
Step-by-step explanation:
IM IN A RUSH PLZ HELP ME WILL GIVE BRAINEST!
Jenna's family is planning a trip to Oceanside, California. They will begin their trip in Scranton, Pennsylvania and will travel 2,754 miles over 9 days. If the family travels an equal number of miles every day, how far will they travel?
Answer:
I believe they will travel 306 miles in a day
Step-by-step explanation:
if you divide 2,754 by 9 it equals 306. I hope this helps.
What is y+3=4(x-1) in Slope intercept form ?
PLS HELP FIND ANGLE MEASUREMENTS
Answer:
From my observations, AOB looks like an isosceles triangle, so A=18 and B=18. Since a triangle must add up to 180. We do 180-18-18=144. O= 144. Then, triangle BOC looks like an isosceles triangle as well. So, we do 180-144= 36 so O = 36 and then we 180-36=144/2 because two sides have the same angles giving us 72 degrees for angles B and C = 72 and for O= 36
So,
x = 72
y = 36
Lonny is serving soup for charity. Each bowl holds 2.15 cups of soup. How many bowls will Lonny use if he serves a total of 94.6 cups of soup?
What are the 4 lowest numbers to average 80 percent . (Lowest possible and one of the numbers has to be 60)
Answer:
5,5,10, and 60
Step-by-step explanation:
Find the remaining numbers
80-60= 20
10 + 10 = 20
Break it up to get 4 numbers total
5 + 5 + 10 = 20
20 + 60 = 80