Answer:
Step-by-step explanation:
let r be radius of inner circle.
2πr=25.12
πr=25.12/2=12.56
3.14r=25.12
r=12.56/3.14=4
outer radius R=4+4=8 mm
reqd. area=πR²-πr²=π(R²-r²)=3.14(8²-4²)=3.14(64-16)=3.14×48= 150.72 mm²
Find the value of X and Y
Answer: x=2 y=152
Step-by-step explanation:
9x + 10 = 15x - 2 They are corresponding angles.
9x = 15x - 12 [Subtract 10 from the both side]
-6x = -12 [Subtract 15x from both side]
x = 2 [Divide -6 from both side]
(9x + 10) + y = 180
[9(2) + 10] + y = 180
28 + y = 180
y = 152
Houa has an action figure collection. She keeps some in a display case and the rest on
the wall. 82 of her action figures are on the wall, and 59% of her action figures are in the display case. What is the total number of action figures in Houa's collection?
Answer:
200 action figures
Step-by-step explanation:
Given
[tex]Wall = 82[/tex]
[tex]Display\ Case = 59\%[/tex]
Required
Total action films
If 59% is on a display case, then 4!% is on the wall. Let the total be x.
So, we have:
[tex]Wall = 41\% * x[/tex]
Substitute 82 for Wall
[tex]82= 41\% * x[/tex]
[tex]82= 0.41 * x[/tex]
[tex]200= x[/tex]
[tex]x = 200[/tex]
A student translated the phrase below into an algebraic expression, and then evaluated it for g = one-fourth. Is the student’s work correct? one-third more than the product of four and a number; evaluate when g = one-fourth The expression is StartFraction 4 Over g EndFraction + one-third; for g = one-fourth. StartFraction 4 Over 1 EndFraction divided by one-fourth + one-third = StartFraction 4 Over 1 EndFraction times StartFraction 4 Over 1 EndFraction + one-third = 16 + one-third = 16 and one-third. Yes, the student’s work is correct. No, the student divided the fraction incorrectly No, the student made an error when substituting. No, product means multiplication, and the student wrote a division expression.
Answer:
No, product means multiplication, and the student wrote a division expression.
D
Step-by-step explanation:
(c) Here are two numbers.
15 21
Craig says,
“Both of these number can be written as the product of two prime numbers."
Is Craig correct?
You must show how you get your answer.
(4)
Answer:
Yes
Step-by-step explanation:
15 = 3*5
21 = 7*3
3, 5 and 7 are all prime numbers.
A bicycle tire of radius 0.40 m and mass 1.7kg is rotating at 62.9 rad/s.
What torque is necessary to stop the tire in 2.2 s?
Answer in units of N · m.
These are the last of my points, I have been scammed by people twice, someone please help me, this is actually physics but the scammers love physics.
HURRY PLEASE!! I WILL GIVE BRAINLIEST
Answer:
1/64
Step-by-step explanation:
1/64=(1/8)^2
1/64=(1/4)^3
Answer:
25
Step-by-step explanation:
A consumer group has determined that the distribution of life spans for gas ovens has a mean of 15.0 years and a standard deviation of 4.2 years. The distribution of life spans for electric ovens has a mean of 13.4 years and a standard deviation of 3.7 years. Both distributions are moderately skewed to the right. Suppose we take a simple random sample of 35 gas ovens and a second simple random sample of 40 electric ovens. Suppose we take a simple random sample of 35 gas ovens and a second SRS of 40 electric ovens. Which of the following best describes the sampling distribution of barXG - bar XE, the difference in mean life span of gas and electric ovens?
A. Mean = 1.6 years, standard deviation = 7.9 years, shape: moderately right-skewed.
B. Mean = 1.6 years, standard deviation = 0.92 years, shape: approximately Normal.
C. Mean = 1.6 years, standard deviation = 0.92 years, shape: moderately right skewed.
D. Mean = 1.6 years, standard deviation = 0.40 years, shape: approximately Normal.
E. Mean = 1.6 years, standard deviation = 0.40 years, shape: moderately right skewed.
Answer:
B. Mean = 1.6 years, standard deviation = 0.92 years, shape: approximately Normal.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
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.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Subtraction of normal variables:
When we subtract normal variables, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.
35 gas ovens
A consumer group has determined that the distribution of life spans for gas ovens has a mean of 15.0 years and a standard deviation of 4.2 years. This means that:
[tex]\mu_G = 15, \sigma_G = 4.2, n = 35, s_G = \frac{4.2}{\sqrt{35}} = 0.71[/tex]
40 electric ovens.
The distribution of life spans for electric ovens has a mean of 13.4 years and a standard deviation of 3.7 years.
[tex]\mu_E = 13.4, \sigma_E = 3.7, n = 40, s_E = \frac{3.7}{\sqrt{40}} = 0.585[/tex]
Which of the following best describes the sampling distribution of barXG - bar XE, the difference in mean life span of gas and electric ovens?
By the Central Limit Theorem, the shape is approximately normal.
Mean: [tex]\mu = \mu_G - \mu_E = 15 - 13.4 = 1.6[/tex]
Standard deviation:
[tex]s = \sqrt{s_G^2+s_E^2} = \sqrt{(0.71)^2+(0.585)^2} = 0.92[/tex]
So the correct answer is given by option b.
ASAP!! Which graphs have same domain?
Graphs 1 and 2
Graphs 1 and 3
Graphs 2 and 3
Graphs 1, 2, and 3
Answer:
B
Step-by-step explanation:
Help me with this question
Please I need help
Answer:
384 cm²
Step-by-step explanation:
The shape of the figure given in the question above is simply a combined shape of parallelogram and rectangle.
To obtain the area of the figure, we shall determine the area of the parallelogram and rectangle. This can be obtained as follow:
For parallelogram:
Height (H) = 7.5 cm
Base (B) = 24 cm
Area of parallelogram (A₁) =?
A₁ = B × H
A₁ = 24 × 7.5
A₁ = 180 cm²
For rectangle:
Length (L) = 24 cm
Width (W) = 8.5 cm
Area of rectangle (A₂) =?
A₂ = L × W
A₂ = 24 × 8.5
A₂ = 204 cm²
Finally, we shall determine the area of the shape.
Area of parallelogram (A₁) = 180 cm²
Area of rectangle (A₂) = 204 cm²
Area of figure (A)
A = A₁ + A₂
A = 180 + 204
A = 384 cm²
Therefore, the area of the figure is 384 cm²
giving brainliest!
A can in the shape of a cylinder has a diameter of 6 centimeters and a height of 10 centimeters. Which measurement is donest to the total suratace area
of the can in square centimeters?
Answer:
radius r = 3 cm
height h = 10 cm
volume V = 282.743339 cm^3
lateral surface area L = 188.495559 cm^2
top surface area T = 28.2743339 cm^2
base surface area B = 28.2743339 cm^2
total surface area A = 245.044227 cm^2
In Terms of Pi π
volume V = 90 π cm3
lateral surface area L = 60 π cm^2
top surface area T = 9 π cm^2
base surface area B = 9 π cm^2
total surface area A = 78 π cm^2
Step-by-step explanation:
Agenda:
r = radius
h = height
V = volume
L = lateral surface area
T = top surface area
B = base surface area
A = total surface area
π = pi = 3.1415926535898
√ = square root
Formluas:
Cylinder Formulas in terms of r and h:
Calculate volume of a cylinder:
V = πr2h
Calculate the lateral surface area of a cylinder (just the curved outside)**:
L = 2πrh
Calculate the top and bottom surface area of a cylinder (2 circles):
T = B = πr2
Total surface area of a closed cylinder is:
A = L + T + B = 2πrh + 2(πr2) = 2πr(h+r)
Am I doing this right?
Answer:
Yes you are
You very much are doing the right thing
Internet company Gurgle is carrying out testing on the efficiency of its search engine. A sample of 31 searches have been carried out and the time taken to display the results has been recorded for each search. The mean search time for the sample was calculated as 0.2258 seconds. The standard deviation of the search times for the sample was calculated as 0.0188 seconds. The population standard deviation of search times is unknown.
1. Select all the techniques that are commonly used to construct a confidence interval for the mean when the population standard deviation (σ) is unknown:
a. Approximate the population standard deviation (σ) with the sample standard deviation (s)
b. Replace the sample size (n) with n-1
c. Decrease the confidence level to compensate for the increased margin of error
d. Approximate the standard normal distribution with the Student's t distribution
2. Calculate the upper and lower bounds of the 95% confidence interval for the mean search time for the Gurgle search engine.
Answer:
d. Approximate the standard normal distribution with the Student's t distribution
(0.2199 ; 0.2327)
Step-by-step explanation:
Given that :
Sample size, n = 31
Sample mean, xbar = 0.2258
Sample standard deviation, s = 0.0188
Confidence interval (C. I) :
xbar ± margin of error
Margin of Error : Tcritical * s/sqrt(n)
Degree of freedom, df = n - 1 = 31 - 1 = 30
Tcritical value :
T0.05/2, 30 = 2.042
Margin of Error = 2.042 * 0.0188/sqrt(31)
Margin of Error = 0.0068949
C. I = 0.2258 ± 0.0068949
Lower boundary : (0.2258 - 0.006895) = 0.2189
Upper boundary : (0.2258 - 0.006895) = 0.2327
(0.2199 ; 0.2327)
Someone please help me answer this!!
Answer:
4
Step-by-step explanation:
because 7=3+4, so x=4 to make it 7
Trevor wants a life insurance policy with a cash feature and one he can change the death benefits of without having to get a new policy. What type of policy best fits this scenario
Answer:
un death somthing
Step-by-step explanation:
if I multiply or divide by a negative number I must reverse the inequality sign.
true or false
Answer:
True
Step-by-step explanation:
Helppppppp show your work
Answer:
No solution
Step-by-step explanation:
x+5x+4=3(2x-1)
First off, rearrange:
6x+4=6x-3
The '6x's cancel out (4=-3, incorrect), which means the equation has no solution.
The sum of - 6a and 7a is - 31
Answer:
a = -31
Step-by-step explanation:
According to the question,
-6a + 7a = -31
a = -31
Jack has 1 3/5 cups of yogurt to make smoothies. Each smoothie uses 2/5 How many smoothies can Jack make with the yogurt?
Answer:
Step-by-step explanation:
(1 3/5)/(2/5)
(8/5)/(2/5)
(8/5)(5/2)
40/10
4
The sum of two numbers is 44. One number is 3 times as large as the other. What are the numbers?
Larger number:
0
Smaller number: 0
Х
5
?
Exp
Recheck
2021 McGraw-Hill Education. All Rights Reserved
O
The sum of two numbers is 44. One number is 3 times as large as the other. What are the numbers
Two quantities are proportional if they vary and have a constant ratio or unit rate.
O True
O False
Please only answer if you know the answer
PLEASE HELP!!!! The problem is in the photo below.
What is 9/10 as hundredths in fraction form and decimal form?
Answer:
see below
Step-by-step explanation:
9/10
To get as a fraction over 100, multiply the top and bottom by 10
9*10 90
------ = ------------
10*10 100
9/10 = 90/100
The decimal form for 9/10 is .9 and for 90/100 is .90
Need help please. What is the area of the shaded region. Thank you so much.
Answer:
[tex]Area = 8\ unit^2[/tex]
Step-by-step explanation:
Given
The 7 * 3 grid
Required
Determine the area of the shaded
From the grid, 4 cells on 2 rows were shaded.
Since 1 grid cell = 1 unit.
The area is:
[tex]Area = 4\ unit * 2\ unit[/tex]
[tex]Area = 8\ unit^2[/tex]
What does X and Y equal?
Answer:
X= 67
Y= 6
Step-by-step explanation:
Triangle TRU is an equilateral triangle which means all sides are equal.
Triangles sum up to 180°.
180/3= 60
60+7= 67
x=67
Triangle TRS is an isosceles triangle which means it has two equal sides.
Triangles sum up to 180°.
180-60= 120
TRS= 120°
60/2= 30°
RTS= 30°
RST= 30°
30/5= 6
y= 6
SA = 2tr2 + 2trh (Use 3.14 for .) How much metal is needed to create a cylindrical can with a height of 5 inches and a base diameter of 3 inches? square inches Do NOT round your answer.
Answer:
[tex]SA=61.26\ \text{inches}^2[/tex]
Step-by-step explanation:
The surface area of a cylinder is given by :
[tex]SA=2\pi r^2+2\pi rh[/tex]
Where
r is radius and h is height of the cylinder
We have, h = 5 inches and r = 3/2 = 1.5 inches
Put all the respected values.
[tex]SA=2\pi \times (1.5)^2+2\pi \times 1.5\times 5\\\\SA=61.26\ \text{inches}^2[/tex]
So, the surface area of the cylinder is equal to [tex]61.26\ \text{inches}^2[/tex].
Answer:
Answer: 61.23 / {I'm right trust me Acellus 2022}
Step-by-step explanation:
how much metal is needed to create a cylindrical can with a height of 5 inches and a base diameter of 3 inches
The question above...
Answer:
I think that its C
Step-by-step explanation:
I think it might be c because the two smaller(11,7) sides must add up to be longer than the longest side(18).And it would be the same length as the longest side,which means you wont be able to construct the triangle. (Eh my explanation wasnt that good but it is what it is)
Answer:
the answer I would say is ether B or C
Step-by-step explanation:
hope that helps
Find the area of the triangle below.
Be sure to include the correct unit in your answer.
Answer:
Area= 1/2bh
= 1/2 ( 16)(6)
=48 square yard.
Find the value of X in the equation below:
X/9 = 3.9
Answer:
35.1
Step-by-step explanation:
We can multiply both sides by 9 to get x=35.1
Step-by-step explanation:
x/9=3.9
x=3.9*9
x=35.1
What is an equation of the line that passes through the points (7,4) and (-5,4)
Answer:
y=4
Step-by-step explanation:
WILL MARK BRAINLIEST! Solve for X on the provided picture. Thank you!
Answer:
Step-by-step explanation:
x + (180-140) + (180-132) = 180
x = 92°