Answer:
Step-by-step explanation:
From the given information, we can compute the table showing the summarized statistics of the two alloys A & B:
Alloy A Alloy B
Sample mean [tex]\bar {x} _A = 49.5[/tex] [tex]\bar {x} _B = 45.5[/tex]
Equal standard deviation [tex]\sigma_A = 5[/tex] [tex]\sigma_B= 5[/tex]
Sample size [tex]n_A = 30[/tex] [tex]n_{B}= 30[/tex]
Mean of the sampling distribution is :
[tex]\mu_{\bar{X_1}-\bar{X_2}}= 49.5-45.5 \\ \\ = 4.0[/tex]
Standard deviation of sampling distribution:
[tex]\sigma_{\bar{x_1}-\bar{x_2} }= \sqrt{\sigma^2_{\bar{x_1}-\bar{x_2} }} \\ \\ = \sqrt{\dfrac{\sigma_1^2}{n_1} + \dfrac{\sigma^2_2}{n_2} } \\ \\ =\sqrt{\dfrac{25}{30}+\dfrac{25}{30}} \\\\=\sqrt{1.667} \\ \\ =1.2909[/tex]
Hypothesis testing.
Null hypothesis: [tex]H_o: \mu_A -\mu_B = 0[/tex]
Alternative hypothesis: [tex]H_A:\mu_A -\mu_B > 4[/tex]
The required probability is:
[tex]P(\overline X_A - \overline X_B>4|\mu_A - \mu_B) = P\Big (\dfrac{(\overline X_A - \overline X_B)-\mu_{X_A-X_B}}{\sigma_{\overline x_A -\overline x_B}} > \dfrac{4 - \mu_{X_A-\overline X_B}}{\sigma _{\overline x_A - \overline X_B}} \Big) \\ \\ = P \Big( z > \dfrac{4-0}{1.2909}\Big) \\ \\ = P(z \ge 3.10)\\ \\ = 1 - P(z < 3.10) \\ \\ \text{Using EXCEL Function:} \\ \\ = 1 - [NORMDIST(3.10)] \\ \\ = 1- 0.999032 \\ \\ 0.000968 \\ \\ \simeq 0.0010[/tex]
This implies that a minimal chance of probability shows that the difference of 4 is not likely, provided that the two population means are the same.
b)
Since the P-value is very small which is lower than any level of significance.
Then, we reject [tex]H_o[/tex] and conclude that there is enough evidence to fully support alloy A.
Branliest to correct answer explain how you got your answer please
What is the expression resulting from the following diagram?
3x)
Drop Down 1]
-2x-5
[Drop Down 2]
-4/11
[Drop Down 3]
[Drop Down 1)
Select a Value
Drop Down 2]
Select a Value
Drop Down 3]
Select a Value
Answer:
1. -12x^8
2. 8x^6
3. 16x^11
Step-by-step explanation:
The required values for the given table are -12x⁸, 8x⁶ and 16x¹¹ respectively. To understand the calculations, check below.
Multiplication table:The given table represents the Multiplication table.
To fill the table we need to multiply the corresponding elements of that cell of the table.
For drop-down 1,
[tex](-4x^{11})\times (3x^{-3})=(-4\times 3)x^{11-3}[/tex]
[tex](-4x^{11})\times (3x^{-3})=-12x^{8}[/tex]
For drop-down 2,
[tex](-4x^{11})\times (-2x^{-5})=(-4\times (-2))x^{11-5}[/tex]
[tex](-4x^{11})\times (-2x^{-5})=8x^{6}[/tex]
For drop-down 3,
[tex](-4x^{11})\times (-4)=(-4\times (-4))x^{11}[/tex]
[tex](-4x^{11})\times (-4)=16x^{11}[/tex]
Therefore, the required values are -12x⁸, 8x⁶ and 16x¹¹ respectively.
Find out more about 'Multiplication table' here:
https://brainly.com/question/17211095
In a set of three lines, a pair of parallel lines is intersected by a transversal. The intersection forms eight special angles. Two of the special angles, A and B, are corresponding angles.
For the set of parallel lines intersected by a transversal, A=4x and B=-5(x-18).
Part A: Write an equation to represent the corresponding relationship betweenA andB.
Part B: Use the equation to find the measures of A and B.
Answer:
Part A: 4x = -5(x-18)
Part B: A and B both = 40 degrees
Step-by-step explanation:
Ok, corresponding angles are in the same position on the two parallel lines cut by the transversal. And they are equal in measure. So, upper right = upper right.
So A = B
4x = -5(x -18)
4x = -5x + 90
9x = 90
x = 10
Angle A = 4x = 40 degrees, which means angle B is also 40, but let's show the work:
Angle B = -5(x - 18) = -50 + 90 = 40
The population of largemouth bass in a pond is decreasing at the rate of 10% per year. If the population of largemouth bass is 5,000 this year, what will the population be in 16 years?
Answer:
Population after 16 year = 927 people (Approx.)
Step-by-step explanation:
Given:
Decrease rate = 10% per year
Current population = 5,000
Find:
Population after 16 year
Computation:
A = P[1-r]ⁿ
A = 5,000[1-0.1]¹⁶
A = 5,000[0.9]¹⁶
A = 5,000[0.1853]
A = 926.51
Population after 16 year = 927 people (Approx.)
In the late 2000's sales of SUVs decreased due to higher gas prices and improved alternative vehicles. A car dealer is interested whether it takes more days to sell SUV's vs. small cars. He gathers data from a sample of the most recent couple of months of sales and calculates that the he sold 18 SUV's with an average number of days to sale of 95 and a standard deviation of 32 days. For small cars, he sold 38 of them in an average of 48 days with a standard deviation of 24 days. The dealer wants to estimate how much longer it takes to sell an SUV vs. a small car by constructing a 95% confidence interval. 1. The facts of this problem are:
Answer:
1. The facts are;
[tex]\overline x _1[/tex] = 95 days
s₁ = 32 days
n₁ = 18 SUV's
[tex]\overline x _2[/tex] = 48 days
n₂ = 38 small cars
s₂ = 24 days
The confidence level = 95%
The confidence interval is (29.55, 64.45)
Step-by-step explanation:
The facts of the problem are;
The number of SUV's he sold, n₁ = 18 SUV's
The average number it took to sell the 18 SUV's, [tex]\overline x _1[/tex] = 95 days
The standard deviation of the time it took to sell the 18 SUV's, s₁ = 32 days
The number of small cars he sold, n₂ = 38 small cars
The average number it took to sell the 38 small cars, [tex]\overline x _2[/tex] = 48 days
The standard deviation of the time it took to sell the 38 small cars, s₂ = 24 days
The 95% confidence interval is given as follows;
Using a graphing calculator, we get, the critical-t, [tex]t_c[/tex] = 2.055529
[tex]\left (\bar{x}_1-\bar{x}_{2} \right ) \pm t_{c} \cdot\sqrt{\dfrac{s _{1}^{2}}{n_{1}}+\dfrac{s _{2}^{2}}{n_{2}}}[/tex]
[tex]\left (95-48 \right ) \pm 2.055529 \times \sqrt{\dfrac{32^{2}}{18}+\dfrac{24^{2}}{38}}[/tex]
We get C.I. = 29.55259 < μ₁ - μ₂ < 64.44741
∴ C.I. ≈ 29.55 < μ₁ - μ₂ < 64.45
John will rent a car for the weekend. He can choose one of two plans. The first plan has an Initial fee of $51 and costs an additional $0.12 per mile driven. The second plan has an initial fee of $46 and costs an additional $0.14 per mile driven. For what amount of driving do the two plans cost the same? miles What is the cost when the two plans cost the same?
Answer:
The first plan has an initial fee.
The first plan has an initial fee of $51 and costs an idditional $0.11 per mile driven.
Step-by-step explanation:
9x+10y =1 9x-6y=-15 solve using elimination
Answer:
I. x = -1
II. y = 1
Step-by-step explanation:
Given the following algebraic expressions;
9x + 10y = 1 .......equation 1
9x - 6y = -15 ......equation 2
To solve using the elimination method, we would subtract eqn 1 from eqn 2.
(9x - 9x) + (-6y - 10y) = (-15 - 1)
0x - 16y = -16
-16y = -16
16y = 16
y = 16/16
y = 1
Next, we would find the value of x;
From eqn 1;
9x + 10y = 1
Substituting the value of y, we have;
9x + 10(1) = 1
9x + 10 = 1
9x = 1 - 10
9x = -9
x = -9/9
x = -1
ms.vellejo has these cans of soup in her cabinet 1 can of tomato soup 4 cans of chicken soup 3 cans of cheese soup 2 cans of beef soup ms.velljo will randomly choose one can of soup what is the probililty that she will choose a can of beef or chicken soup
Answer:
There is a 40% chance that she will choose a can of beef soup, a 20% chance that she will choose a can of chicken soup, and a combined 60% chance that she will choose a can of beef or chicken soup.
Step-by-step explanation:
Since Ms. Vellejo has 1 can of tomato soup, 4 cans of chicken soup, 3 cans of cheese soup and 2 cans of beef soup in her cabinet, and she will randomly choose one can of soup, to determine what is the probililty that she will choose a can of beef or chicken soup, the following calculation must be performed:
1 + 4 + 3 + 2 = 10
Beef soup = 2 cans = 2/10 = 0.2 = 20%
Chicken soup = 4 cans = 4/10 = 0.4 = 40%
20 + 40 = 60
Thus, there is a 40% chance that she will choose a can of beef soup, a 20% chance that she will choose a can of chicken soup, and a combined 60% chance that she will choose a can of beef or chicken soup.
PLS HELP FAST NO LINKS
Use the trapezoid to answer the question.
Choose all the attributes that describe the trapezoid.
A. It has four acute angles,
B. It has two obtuse angles.
C. It has no perpendicular sides.
D. It has one pair of parallel sides.
E. It has two pairs of parallel sides.
Answer:
D and B would be your answer
LifeCharge Batteries claims that their batteries last an average of 210 hours when used in a hand held gaming system, with a standard deviation of about 9 hours. An independent quality control company took a sample of 34 batteries, and used the same hand held gaming system that LifeCharge used to record the time the batteries lasted.
1. Assuming the claim is true, what is the probability that the value of the sample mean is greater than 251.7 hours.
2. The sample mean was found to be 251.7, what does this say about the claim?
A. The sample mean is quite far off from the mean claimed, casting doubt on the current mean.
B. The sample mean is sufficiently close to the mean claimed, supporting the current mean.
C. The sample mean found does not truly support nor cast doubt on the current mean.
Answer:
The answer is "0.0023 and Choice a"
Step-by-step explanation:
In point a:
The central limit theorem:
[tex]\mu_{X}= 250\\\\\sigma_{X}=\frac{\sigma}{\sqrt{n}}=\frac{6}{\sqrt{100}} =0.6\\\\P(\bar{X}>251.7)\\\\=P(z>\frac{251.70-250}{0.6})\\\\=P(z>2.83)\\\\=1-0.9977\\\\=0.0023[/tex]
In point b:
The chance is lower than 0.05. This means that it is very rare to see the average sample above 251.8 if the argument is valid, that is why the means of the sample is far away from the common claimed and casts doubt on the actual mean.
A card is drawn from a deck of 52 cards. Find the probability of drawing a black card.
14) Find the probability of drawing a red card.
15) Find the probability of drawing a red or black.
16) Find the probability of drawing an ace.
17) Find the probability of drawing either a jack or queen or king.
Answer: See below
Step-by-step explanation:
14) 26/52 of the cards are red, 1/2
15) All of the cards are red or black, 1/1
16) 4/52 of the cards are aces, 1/13
17) 12/52 of the cards are J/Q/K, 3/13
Convert the fractions to whatever unit is needed.
Answer:
14) 26/52
15) 52/52
16) 4/52
17) 24/52
Step-by-step explanation:
Please please help me please please help please
Raina received a $90 gift card for a coffee store. She used it in buying some coffee that's cost $7.38 per pound. After buying the coffee, she had $53.10 left on her card. How many pounds of coffee did she buy?
Answer:
5 lbs
Step-by-step explanation:
90 - 53.10 = 36.90
She spent $36.90 on coffee. Since it cost $7.38 per pound, we can divide the total cost by 7.38 to figure out how many pounds she bought:
36.90 / 7.38 = 5
Raina bought 5 pounds of coffee.
X^2=4 convert exponential function into natural logarithm (ln)
Answer:
[tex]2 = ln(4) [/tex]
Step-by-step explanation:
[tex] {x}^{2} = 4[/tex]
Since the power is 2 and our answer is 4 our natural log equation look like
[tex]2 = ln(4) [/tex]
Answer ASAP for BRAINLIEST (NO LINKS OR I REPORT)
Answer:
radius = 3 feet
Step-by-step explanation:
V = 1/3πr²h
15π = 1/3πr²·5
you can divide each side by 5π to get:
3 = r²/3
r² = 9
r = [tex]\sqrt{9}[/tex] which is 3
Answer:
3
Step-by-step explanation:
((r^2)h[tex]\pi[/tex] )/3=volume of a cone
[tex]15\pi =((r^2)h\pi )/3[/tex]
they say that the height is 5 so insert 5 for h
[tex]15\pi =\frac{r^2(5)\pi } {3}[/tex]
solve for r
multiply both sides by 3
[tex]45\pi =r^25\pi[/tex]
divide both sides by 5
[tex]9\pi =r^2\pi[/tex]
[tex]r=3[/tex]
Hope that helps :)
The building below is shown to scale; for every 1 inch of drawing, it is 5 feet in actual distance. The exterior surface area of the building is 250,000 square feet. What is the exterior surface area of the model?
Answer:
50,000 square inches
Step-by-step explanation:
1:5 ratio so 250,000/5=50,000
B.
O
24
10
26
Find tan 2C
A.
5
13
B.
12
13
C. 12
5
Answer:
=12/5
Step-by-step explanation:
tan<C=opposite/hypotenuse
tan<C=24/10
tan<C=12/5
Please help ill mark brainliest if correct
I attached a photo of the problem
Answer:
12.8
Step-by-step explanation:
imagine a right triangle in the middle,
base: 16 ÷ 2 = 8 cm, height: 10 cm, side: s
10² + 8² = s²
=> s = √(10² + 8²)
=> s = √(100 + 64)
=> s = √164
=> s ≈ 12.8
Can someone please help me with just these two thanks I will give a brainliest to the correct answers
Answer:
7. [tex]c = 15.81[/tex]
8. [tex]b = 16[/tex]
Step-by-step explanation:
Required
Determine the third sides
(7): We have
[tex]b = 5[/tex]
[tex]a = 15[/tex]
[tex]c=??[/tex]
To find c, we make use of Pythagoras theorem
[tex]c^2 = a^2 + b^2[/tex]
[tex]c^2 = 5^2 + 15^2[/tex]
[tex]c^2 = 250[/tex]
[tex]c = \sqrt{250[/tex]
[tex]c = 15.81[/tex]
(8): We have
[tex]c = 20[/tex]
[tex]a = 12[/tex]
[tex]b = ??[/tex]
To find c, we make use of Pythagoras theorem
[tex]c^2 = a^2 + b^2[/tex]
[tex]20^2 = 12^2 + b^2[/tex]
[tex]400 = 144 + b^2[/tex]
[tex]b^2 = 400 - 144[/tex]
[tex]b^2 = 256[/tex]
[tex]b = \sqrt{256[/tex]
[tex]b = 16[/tex]
WILL GIVE BRAINLIEST!!
If N is the plane of symmetry, click on the graphic to find the figure that is symmetrical with respect to plane N.
Answer:
thrid one looks right
Step-by-step explanation:
Answer:
The 4th cone
Step-by-step explanation:
Hello, the answer to your question is the 4th cone; the cone with its bottom half facing skyward. If you are familiar with plane symmetry, this question is fairly simple. Since the topmost cone has its bottom half facing downward, it would only be logical to choose the cone that forms mirror halves (superimpose) when paired.
Hope this helps.
Just in case my explanation was too confusing, I'll attach the image of the answer here.
Feel free to give me brainliest.
vertex of y = x³ + x² - 4x - 4
Answer:
(-2,0)
Step-by-step explanation:
Easy easy easy point easy please explain and make it quick as possible
Answer:
--
Step-by-step explanation:
so basically when we write all three of the expressions in one fraction we get the same answer for all three multiplications.
a. (3/4)*7=(3*7)/4
b. 7*(3/4)=(7*3)/4
c. 3*(7/4)=(3*7)/4
when we change the place of the values that are being multiplied the value of the multiplication does not change, that's why they will be have the same answer and when we multiply all the operations, we get the same value as the answer.
Answer:
Step-by-step explanation:
so basically when we write all three of the expressions in one fraction we get the same answer for all three multiplications.a. (3/4)*7=(3*7)/4b. 7*(3/4)=(7*3)/4c. 3*(7/4)=(3*7)/4when we change the place of the values that are being multiplied the value of the multiplication does not change, that's why they will be have the same answer and when we multiply all the operations, we get the same value as the answer.
Match the following.
Answer:
1) Rotation
2) Reflection
3)Dilation
4) Rotation
5) Reflection
6) Translation
7) Rotation
Step-by-step explanation: :
Keep in mind
Reflection is a flip.
Rotation turns a figure through an angle about a fixed point called the center.
Translation "slides" an object a fixed distance in a given direction.
Dilation is a transformation that produces an image that is the same shape as the original, but is a different size.
2. You have 15 nickels and dimes. The coins are worth $1.20. How many of each coin do you have?
Answer:
9 dimes and 6 nickles
Step-by-step explanation:
The graph below shows the number of tickets that a movie theater sold over a four week period.
If the theater continues selling tickets at the same rate, how many tickets do you predict they will sell during the 6th week?
A. 520 tickets
B. 590 tickets
C. 660 tickets
D. 730 tickets
Answer:
Actually, the correct answer is B: 590.
Step-by-step explanation:
I got right on the test. That's your proof there!
10 The cost to rent the cabin is $125 per night, plus a $50
non-refundable cleaning fee. Which equation would find the
total cost C of staying at the cabin for n nights?
A C = 125n + 50
B C = 50n + 125
с
n = 125C + 50
D 125
50C +n
Answer:
C=125n+50
Step-by-step explanation:
each night you stay represents "n" so if you stayed 3 nights(n)
you would multiple 125x3= 375
plus the $50 non refundable charge
Use the Cross Products Property to solve x/35 = 2/7.
Answer:
x = 10
Step-by-step explanation:
Set up:
[tex]\frac{x}{35} = \frac{2}{7} \\[/tex]
Cross multiple:
7x = 70
Divide by 7
x = 10
A scale drawing of a house uses a scale of 0.5 inches = 2 feet what is the length in inches of a line on the scale drawing that represents an actual length of 5 feet.
Answer:
We can use ratios for solve this problem
Cross multiply to get:
Lastly, divide both sides by 2 to isolate x
The line will be 1.25 inches
Hope this helps!
P.s. can I get Brainliest?
Find the value of X given 2 angles, 58 and 38.
Answer:
84
Step-by-step explanation:
180 - 58 - 38 = 84
because all the angles of a triangle add up to 180
Answer: 84
Step-by-step explanation:
A triangles total angles are 180 so we just have to subtract 58+38 from 180
plzz help im in class RIGHT NOW
Answer:
i have no answer
Step-by-step explanation:
Answer:
You're a really fungi
Step-by-step explanation: