A manufacturer of bolts has a​ quality-control policy that requires it to destroy any bolts that are more than 4 4 standard deviations from the mean. The​ quality-control engineer knows that the bolts coming off the assembly line have mean length of 13 13 cm with a standard deviation of 0.10 0.10 cm. For what lengths will a bolt be​ destroyed?

Answer:

-2p +13

Step-by-step explanation:

(7p + 6) - (9p - 7)

Distribute the minus sign

(7p + 6) - 9p + 7

Combine like terms

7p -9p   +6 +7

-2p +13

Answer:

-2p + 13

Step-by-step explanation:

Distribute the -1 to (9p - 7):

7p + 6 - 9p + 7

Add like terms (7p and -9p, 6 and 7):

-2p + 13

Answer:

(1): -4.7 - 2.3x + 0.5 - 4x

(2):-5.3x-4.2-x

(3):-3.4-6.3x-0.8

Step-by-step explanation:

By Collecting like terms and adding the answer I get -6.3x - 4.2

(1):-4.7-2.3x+0.5-4x

Collect like terms

-2.3x-4x-4.7+0.5

-6.3x-4.2

(2):-5.3x-4.2-x

Collect like terms

-5.3x-x-4.2

-6.3x-4.2

(3): -3.4-6.3x-0.8

Collect like terms

-6.3x-3.4-0.8

-6.3x-4.2

Answer:

The first 3 are equivalent the last 3 aren't.

Step-by-step explanation:

Answer:

  5 units up

Step-by-step explanation:

Adding 5 to the y-value of an (x, y) coordinate moves it up 5 units.

f(x) = x^2 +5 is translated 5 units upward from f(x) = x^2.

Answer:

121 km

Step-by-step explanation:

i added all the number together

Answer:

The probability that it came from A, given that is defective is 0.362.

Step-by-step explanation:

Define the events:

A: The element comes from A.

B: The element comes from B.

C: The element comes from C.

D: The elemens is defective.

We are given that P(A) = 0.25, P(B) = 0.35, P(C) = 0.4. Recall that since the element comes from only one of the machines, if an element is defective, it comes either from A, B or C. Using the probability axioms, we can calculate that

[tex]P(D) = P(A\cap D) + P(B\cap D) + P(C\cap D)[/tex]

Recall that given events E,F the conditional probability of E given F is defined as

[tex]P(E|F) = \frac{P(E\cap F)}{P(F)}[/tex], from where we deduce that

[tex]P(E\cap F) = P(E|F)P(F)[/tex].

We are given that given that the element is from A, the probability of being defective is 5%. That is P(D|A) =0.05. Using the previous analysis we get that

[tex] P(D) = P(A)P(D|A)+P(B) P(D|B) + P(C)P(D|C) = 0.05\cdot 0.25+0.04\cdot 0.35+0.02\cdot 0.4 = 0.0345[/tex]

We are told to calculate P(A|D), then using the formulas we have

[tex] P(A|D) = \frac{P(A\cap D)}{P(D)}= \frac{P(D|A)P(A)}{P(D)}= \frac{0.05\cdot 0.25}{0.0345}= 0.36231884[/tex]

Answer:

In Geometry, we have several undefined terms: point, line and plane. From these three undefined terms, all other terms in Geometry can be defined. In Geometry, we define a point as a location and no size. ... And the third undefined term is the line.

Step-by-step explanation:

Answer: 3x^4+7x^3+7x^2+11x+4

Step-by-step explanation:

(x^2+3x+4)(3x^2-2x+1)

3x^4-2x^3+x^2+9x^3-6x^2+3x+12x^2-8x+4

Collect like terms

3x^4-2x^3+9x^3+x^2-6x^2+12x^2+3x+8x+4

3x^4+7x^3+7x^2+11x+4

Answer:

To multiply (x^2 + 3x + 4) and (3x^2 - 2x + 1), we need to distribute each term of the first polynomial to every term in the second polynomial:

(x^2 + 3x + 4)(3x^2 - 2x + 1)

= x^2 * (3x^2 - 2x + 1) + 3x * (3x^2 - 2x + 1) + 4 * (3x^2 - 2x + 1)

Now, let's simplify each term:

= 3x^4 - 2x^3 + x^2 + 9x^3 - 6x^2 + 3x + 12x^2 - 8x + 4

Combining like terms:

= 3x^4 + (-2x^3 + 9x^3) + (x^2 - 6x^2 + 12x^2) + (3x - 8x) + 4

= 3x^4 + 7x^3 + 7x^2 - 5x + 4

So, the product of (x^2 + 3x + 4) and (3x^2 - 2x + 1) is 3x^4 + 7x^3 + 7x^2 - 5x + 4.

Therefore, the correct answer is option C: 3x^4 + 7x^3 + 7x^2 - 5x + 4.

Answer:

  (1 3/4, 2 1/2)

Step-by-step explanation:

The point of intersection is an "ordered pair." That means the order of the two numbers is important. The first number means something different than the second number.

So, if you want a reasonable estimate for (1.8, 2.6), you need to have the first number in the estimate be close to 1.8. The offered choices are ...

  1 3/4 = 1.75

  2 1/2 = 2.5

  1 1/3 ≈ 1.33

The closest of these to 1.8 is 1.75, so the first choice is the best choice so far.

__

The second number of the estimate needs to be close to 2.6. The offered choices are ...

  2 1/2 = 2.5

  1 3/4 = 1.75

  1 1/3 = 1.33

The closest of these to 2.6 is 2.5, so the first choice is still the best choice.

  A reasonable estimate is (1 3/4, 2 1/2).

Answer:

A: (1 3/4, 2 1/2)

Step-by-step explanation:

Answer:

[see below]

Step-by-step explanation:

Add all values together:

[tex]4+6+5+4+4+5+4+8 = 40[/tex]

There are 8 numbers in the data set.

40 ÷ 8 = 5

The mean of the data is 5.

Order the numbers in ascending order.

4, 4, 4, 4, 5, 5, 6, 8

There is no exact middle number.

[tex](4+5)/2 =4.5[/tex]

The median of the data is 4.5.

'4' appears the most in the data set.

4, 4, 4, 4, 5, 5, 6, 8

The mode of the data is 4.

Answer:

555 minutes

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The total surface area of a cubical lunch box having each edge as 10 cm is 600 square centimeter. Therefore, option A is the correct answer.

The surface area of the cube all six faces of the cube are made up of squares of the same dimensions then the total surface area of the cube will be the surface area of one face added six times to itself. The formula to find the surface area of a cube is 6a², where a is edge.

Given that, the cubical lunch box having each edge as 10 cm.

Here, surface area = 6×10²

= 600 square centimeter

Therefore, option A is the correct answer.

Learn more about the surface area of a cube here:

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Answer:

ooage booge ohag

Step-by-step explanation:

oomago ooga booga

Answer:

I got a universal translator and got "Hello in caveman goodbye in caveman"

Step-by-step explanation:

Answer:

The null and alternative hypothesis for this study are:

[tex]H_0: \mu=18500\\\\H_a:\mu< 18500[/tex]

The null hypothesis is rejected (P-value=0.004).

There is enough evidence to support the claim that the average cost of tuition plus room and board at small private liberal arts colleges is  less than $18,500 per term.

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that the average cost of tuition plus room and board at small private liberal arts colleges is  less than $18,500 per term.

Then, the null and alternative hypothesis are:

[tex]H_0: \mu=18500\\\\H_a:\mu< 18500[/tex]

The significance level is 0.05.

The sample has a size n=150.

The sample mean is M=18200.

The standard deviation of the population is known and has a value of σ=1400.

We can calculate the standard error as:

[tex]\sigma_M=\dfrac{\sigma}{\sqrt{n}}=\dfrac{1400}{\sqrt{150}}=114.31[/tex]

Then, we can calculate the z-statistic as:

[tex]z=\dfrac{M-\mu}{\sigma_M}=\dfrac{18200-18500}{114.31}=\dfrac{-300}{114.31}=-2.624[/tex]

This test is a left-tailed test, so the P-value for this test is calculated as:

[tex]P-value=P(z<-2.624)=0.004[/tex]

As the P-value (0.004) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the average cost of tuition plus room and board at small private liberal arts colleges is  less than $18,500 per term.

Answer:

a) We want to test the claim that 35​% of adults have heard of the new electronic reader, then the system of hypothesis are.:  

Null hypothesis:[tex]p=0.35[/tex]  

Alternative hypothesis:[tex]p \neq 0.35[/tex]  

And is a two tailed test

b) [tex]z=\frac{0.334 -0.35}{\sqrt{\frac{0.35(1-0.35)}{1562}}}=-1.326[/tex]  

c) [tex]p_v =2*P(z<-1.326)=0.184[/tex]  

d) Null hypothesis:[tex]p=0.35[/tex]  

e) Fail to reject the null hypothesis because the P-value is greater than the significance level, alpha.

Step-by-step explanation:

Information provided

n=1562 represent the random sample selected

X=522 represent the people who have heard of a new electronic reader

[tex]\hat p=\frac{522}{1562}=0.334[/tex] estimated proportion of people who have heard of a new electronic reader

[tex]p_o=0.35[/tex] is the value to verify

[tex]\alpha=0.05[/tex] represent the significance level

z would represent the statistic

[tex]p_v[/tex] represent the p value

Part a

We want to test the claim that 35​% of adults have heard of the new electronic reader, then the system of hypothesis are.:  

Null hypothesis:[tex]p=0.35[/tex]  

Alternative hypothesis:[tex]p \neq 0.35[/tex]  

And is a two tailed test

Part b

The statistic for this case is given :

[tex]z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}[/tex] (1)  

Replacing the info given we got:

[tex]z=\frac{0.334 -0.35}{\sqrt{\frac{0.35(1-0.35)}{1562}}}=-1.326[/tex]  

Part c

We can calculate the p value using the laternative hypothesis with the following probability:

[tex]p_v =2*P(z<-1.326)=0.184[/tex]  

Part d

The null hypothesis for this case would be:

Null hypothesis:[tex]p=0.35[/tex]  

Part e

The best conclusion for this case would be:

Fail to reject the null hypothesis because the P-value is greater than the significance level, alpha.

Answer:

32?

Step-by-step explanation:

Answer:

Depends on how many spoonfuls of sprinkles per sundae. Is there more details to this question?

Answer:

4.3 + (-1.07)+(-2.971)

Step-by-step explanation:

4.3 + (-1.07)+(-2.971)

4.3 -1.07-2.971

4.3 - 4.041= 0.259

Answer:

129.3

Step-by-step explanation:

You have to find the number in the middle of all of the heights and multiply them by the all of the frequency (122x7 etc). When you have those answers, add them together and divide the answer by 40.

Answer:

juice wrld

Step-by-step explanation:

fast

Answer:

yuh

Step-by-step explanation:

Answer:

  The graph of the function is negative on (3, ∞)

Step-by-step explanation:

The function starts negative at the left side of the graph, crosses the x-axis at x = -5, touches the x-axis at x = 1, again crosses into negative values at x = 3.

The function is positive on the open intervals (-5, 1) and (1, 3). It is negative on the open intervals (-∞, -5) and (3, ∞). The latter description matches the last answer choice:

  the graph of the function is negative on (3, ∞).

Answer:Oop

Step-by-step explanation:

Answer:

The answer is "0.2"

Step-by-step explanation:

Given value:

factor = 10

The amount of two divided by the number of options. When both fours and eight gaps are available, that probability can be defined as follows:

[tex]\Rightarrow \frac{2}{10}\\\\\Rightarrow \frac{1}{5}\\\\\Rightarrow 0.2\\[/tex]

Answer:

D

Step-by-step explanation:

First found amount yielded

A = P(1+r)^nt

P is amount deposited 50,200

r is interest rate 13% = 13/100 = 0.13

t = 3

A = 50,200(1+0.13)^3

A = 50,200(1,13)^3

A = 72,433.42939999998

A is approximately 72,433.43

interest = A - P = 72,433.43-50,200 = 22,233.43= 22,233 to the nearest GHS

Answer:

 |Z| = |-52.5|  = 52.5 > 1.96 at 0.05 level of significance

 Null  hypothesis is rejected

We rejected the researcher's claim

A researcher do not claims that 96% of college graduates say their college degree has been  a good investment.

Step-by-step explanation:

Explanation:-

Given data A researcher claims that 96% of college graduates say their college degree has  been a good investment.

Population proportion 'P' = 0.96

                                       Q = 1-P = 1- 0.96 = 0.04

In a random sample of 2000 graduates, 1500 say their college degree has

been a good investment.

Sample proportion

                       [tex]p^{-} = \frac{x}{n} = \frac{1500}{2000} = 0.75[/tex]

Level of significance  ∝ = 0.05

[tex]Z_{\frac{\alpha }{2} } = Z_{\frac{0.05}{2} } = Z_{0.025} = 1.96[/tex]

Test statistic

                        [tex]Z = \frac{p^{-} - P }{\sqrt{\frac{PQ}{n} } }[/tex]

                        [tex]Z = \frac{0.75 - 0.96 }{\sqrt{\frac{0.96 X 0.04}{2000} } }[/tex]

                        [tex]Z = \frac{-0.21}{0.00435} = -52.5[/tex]

    |Z| = |-52.5|  = 52.5 > 1.96 at 0.05 level of significance

  Null  hypothesis is rejected

  We rejected the researcher's claim

Conclusion:-

A researcher do not claims that 96% of college graduates say their college degree has been  a good investment.

Answer:

w = (-3/2)u + 2

Step-by-step explanation:

Since we don't know the value of u, we can only solve -12u+13=8w-3 for w in terms of u.

Adding 3 to both sides, we get -12u+13=8w-3 => -12u+16=8w, or

8w = -12u + 16

Reduce this by dividing all three terms by 8:

w = (-12/8)u + 2

... and then reduce the fraction:      w = (-3/2)u + 2

Answer:

(B) [tex]f(x)=-3(x+1)(x-5)[/tex]

x=5

Step-by-step explanation:

Given the three equivalent forms of f(x):

[tex]f(x)=-3(x-2)^2+27\\f(x)=-3(x+1)(x-5)\\f(x)=-3x^2+12x+15[/tex]

The form which most quickly reveals the zeros (or "roots") of f(x) is

(B) [tex]f(x)=-3(x+1)(x-5)[/tex]

This is as a result of the fact that on equating to zero, the roots becomes immediately  evident.

[tex]f(x)=-3(x+1)(x-5)=0\\-3\neq 0\\Therefore:\\x+1=0$ or x-5=0\\The zeros are x=-1 or x=5[/tex]

Therefore, one of the zeros, x=5

Answer:

i dont think the one above is correct. here is the correct answer

Step-by-step explanation:

Answer:

Mean: 17

Median: 16

Mode: 10

Step-by-step explanation:

8, 10, 10, 11, 16, 17, 19, 21, 41

Median: (the middle number in the number list/data set) 16

Mode: 10

Mean: 8 + 10 + 10 + 11 + 16 + 17 + 19 + 21 + 41 = 153/9 = 17

The mean is equal to 17. The value of the median is 16 and the value of the mode is 10.

The mean of the numbers is defined as the ratio of the sum of the total numbers to the total count of the numbers.

The given numbers are,

8, 10, 10, 11, 16, 17, 19, 21, 41

Mean = ( 8 + 10 + 10 + 11 + 16 + 17 + 19 + 21 + 41 ) / 9

Mean = 153/9

Mean = 17

The median is calculated by arranging the numbers in ascending order and the middle term of the data.

8, 10, 10, 11, 16, 17, 19, 21, 41

The median is 16.

The mode is calculated as the highest repetition in the data,

8, 10, 10, 11, 16, 17, 19, 21, 41

Mode: 10

Therefore, the mean is equal to 17. The value of the median is 16 and the value of the mode is 10.

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Answer:

122.6 min

Step-by-step explanation:

3 miles = 28 min

13.1 miles=x

28min x 13.1 miles=366.8/3=122.6 min

Answer:

122mins

Step-by-step explanation:

3 miles take 28mins

Therefore the pace refers to the speed of travel and is 3/28

The new time of travel = distance /speed

= 13.1 / 3/28

=13.1 * 28 /3

=122.27

=122minutes

Answer:

Step-by-step explanation:

it will be 5 * 14 = 70 cm in real life scale

Answer:

~ 70 cm of the width of the actual item ~

Step-by-step explanation:

Let us plan out our steps, and solve for each:

1. Given the information, let us create a proportionality as such:

      1       =          14          ⇒   x - width of the actual item

      5                   x

2. Now let us cross multiply, and solve through simple algebra for x:

14 * 5= x,

x = 70 centimeters of the width of the actual item

Answer:

the 2nd one

i am pretty sure

Step-by-step explanation: