How many 1 3/4-inch long machine bolt blanks can be cut from a 5-foot length of stock? allow 7/32 inch for waste on each blank.

Answer:

Replace y with f−1(x) f - 1 ( x ) to show the final answer. Verify if f−1(x)=x3+73 f - 1 ( x ) = x 3 + 7 3 is the inverse of f(x)=3x−7 f ( x ) = 3 x - 7

Step-by-step explanation:

Answer:

187.5

Step-by-step explanation:

[tex]\sf {If \; y \; varies \; inversely \; as \; x^3\; represented \; by\; y\propto \dfrac{1}{x^3}} \\then\\y = \dfrac{k}{x^3}\; where\; k \;is\; a \;constant\\\\== > k = y\cdot x^3\\\\When y = 12, x = 5 \;means\\\\k = 12.\cdot 5^3 = 12 \cdot 125 = 1500\\\\\sfTherefore \;when\; x = 2\\y = \dfrac{1500}{2^3} = \dfrac{1500}{8} = 187.5\\\\\sf Answer:\;\; \boxed {\sf y = 187.5\; \sf when\; x = 2}[/tex]

Answer:

b. 4

Step-by-step explanation:

A negative number divided by a negative number is a positive number.

Therefore, -12 ÷ -3 = 4.

The probability that four or fewer of the people who called will sign up for a class = 0.9805

For given question,

Eric estimates that one out of every five people who call for information about a class will sign up for the class.

Last week he receive nine calls.

We need to find the probability that four or fewer of the people who called will sign up for a class.

Total number of calls = 9

⇒ n = 9

Since one out of every five people who call for information about a class will sign up for the class.

the probability of success (p) = 1/5

                                                  = 0.2

and the probability of failure (q) = 1 - p

                                                      = 1 - 0.2

                                                      = 0.8

To find the probability that four or fewer of the people who called will sign up for a class.

So, x would take values 0, 1, 2, 3, 4

Using Binomial principal,

For x = 0,

[tex]P(x=0)= ~^9C_0(0.2)^0(0.8)^{9-0}\\\\P(x=0)=0.13422[/tex]

For x = 1,

[tex]P(x=1)= ~^9C_1(0.2)^1(0.8)^{9-1}\\\\P(x=1)=0.30199[/tex]

For x = 2,

[tex]P(x=2)= ~^9C_2(0.2)^2(0.8)^{9-2}\\\\P(x=2)=0.30199[/tex]

For x = 3,

[tex]P(x=3)= ~^9C_3(0.2)^3(0.8)^{9-3}\\\\P(x=3)=0.17616[/tex]

For x = 4,

[tex]P(x=4)= ~^9C_4(0.2)^4(0.8)^{9-4}\\\\P(x=4)=0.06606[/tex]

So, the required probability would be,

P = P(x = 0) + P(x = 1) + P(x = 2) + P(x = 3) + P(x = 4)

P = 0.1342 + 0.3020 + 0.3020 + 0.1762 + 0.0661

P = 0.9805

Therefore, the probability that four or fewer of the people who called will sign up for a class = 0.9805

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Answer:

a = -30

Step-by-step explanation:

In order to solve for a in the equation [tex]\sf 11 = \dfrac{-3}{10} a + 2[/tex], we can follow these steps:

Subtract 2 from both sides of the equation:

[tex]\sf 11 -2= \dfrac{-3}{10} a + 2-2[/tex]

[tex]\sf 9 = \dfrac{-3}{10} a[/tex]

Multiply both sides of the equation by [tex]\sf -\dfrac{10}{3}[/tex]:

[tex]\sf 9 *-\dfrac{10}{3}= \dfrac{-3}{10} a*-\dfrac{10}{3}[/tex]

-30 = a

Therefore, the solution to the equation 11 a + 2[tex]\sf \dfrac{-3}{10} a + 2[/tex] is a = -30.

Answer:

4u+4-1=4u-6

4u+3=4u-6

4u+9=4u

9 I think

Step-by-step explanation:

Remember that a point's y-absolute coordinate's value determines how far away it is from the x-z plane.

With an example, define a plane?

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A conclusion which can be inferred about an individual score that corresponds to a z-value of 1.0 is that: c.) it is likely to come from the healthy distribution.

A z-value is also referred to as a z-score or standard score and it can be defined as a measure of the distance between a raw score and the mean, when standard deviation units are used.

In Statistics, z-values can either be positive or negative and it can be calculated by using this formula:

[tex]Z=\frac{x\;-\;u}{\delta}[/tex]

Where:

Since the individual score that corresponds to a z-value of 1.0, we can reasonably infer and logically conclude that an individual score is likely to come from the healthy distribution.

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Complete Question:

Scores of healthy adults on a neurological test form a normal distribution with mean = 100 and SD = 15. What conclusion can be inferred about an individual score that corresponds to a z value of 1.0?

a.) it falls in the general region of the population

distribution

b.) it falls in the common region of the distribution

c.) it is likely to come from the healthy distribution

d.) it is unlikely to come from the healthy distribution

The computation shows that the game is not fair

It should be noted that the cube had numbers 1 to 6. Therefore, the difference of 4 can be either 6-2 or 5-1 .

On the other hand, the difference of 5 will only be 6-1.

Therefore, this is not fair

In conclusion, the game is not fair.

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From the inequality given by -2w < 24, w is greater than -12.

Inequality refers to the relationship between two non-equal expressions. It can be denoted by > for greater than, < for less than, >/= for greater than and equal to, and </= for less than and equal to.

Solving the inequality,

-2w < 24

Making sure the unknown variable is in one side and the constants in the other side.

-2w < 24

Divide both sides by -2, the coefficient beside the unknown variable,

(-2/-2)w < 24/-2

w < -12

Note that when we multiply or divide by a negative number

we must reverse the inequality.

w < -12 ⇒ w > -12

Therefore, w is greater than -12.

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The original price of the table set was $400.

Customers are given discounts by shop owners in order to increase sales. A discount is a rebate or offer created to consumers on the listed price of goods.

Now, as per the given question;

The paid price by Maria is $240 called selling price.

The total discount on the table set was 40%.

Let us consider the original price/marked price of the table set was 'x'.

Then the formula for calculating the original price/market price is;

Marked price - discount = selling price

x - 40%of x = 240

x - (40x)/100 = 240

100x - 40x = 24,000

60x = 24,000

x = 400

Therefore, the original price of the table set was $400.

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The correct answer is other measures of location need not be the same.

What is mean, mode, median and standard deviation?

When the group of numbers have the same mean then the other measures of location need not be the same. That means the standard deviation, median and mode should not be equal. All three widely used parameters that are mean, mode, median and standard deviation are the measure of central tendency.

If the given data has no outlier then mean value and the median value are closer to each other but the mode value is different. Similarly, standard deviation is calculated for the dispersion data. And it means when mean value is same then standard deviation will be different for a group of numbers.

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Answer:

A=54in squared.

Step-by-step explanation:

To answer this you need to know two numbers which in this case is 9 and 12. 12 will be called the Base for now and 9 the height. and they you multiply them together to get 108 but it is like a triangle next you need to half the number so half of 108 is 54.

there are also many different calculators that all you need to do is input the numbers and it will tell you I hope this is helpful to you and that you will get the right answer.

Answer:

-3, 0, 3

Step-by-step explanation:

The domain is the set of all x values

so if you take 60 by x and The sides of an octagon which is 8 you should have your answer

Answer:

Yes

Step-by-step explanation:

If she writes 8 pages a day for 4 days a week, in the first week, she will have already written 32 pages which she would only need one more day.

4 x 8 = 32

32 + 8 = 40

That gives her time to edit and revise :)

Hope this makes sense

Answer:

wsg

Step-by-step explanation:

Answer:

Step-by-step explanation:

need help on what

The p-value is  0.1505 and y is 0.550x1 + 3.600x2 + 7.300.

So,

Given:

Study Hours GPA ACT Score

Using technology, the P-value from the Fratio:

The regression equation's P-value is:

Using the Fratio calculator's Value:

Using the P-value method:

As a result, we cannot reject H0 and conclude that; there is insufficient evidence to demonstrate that the relationship is statistically significant.

The regression formula:

The predictor variables are x1 and x2.

Therefore, the p-value is  0.1505 and y is 0.550x1 + 3.600x2 + 7.300.

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The complete question is given below:
The following data was collected to explore how the average number of hours a student studies per night and the student's GPA affect their ACT score. The dependent variable is the ACT score, the first independent variable (x1)is the number of hours spent studying, and the second independent variable (x2) is the student's GPA

Effects on ACT Scores

Study Hours GPA ACT Score

5 4 27

5 2 18

5 3 18

1 3 20

2 4 21

Step 1 of 2: Find the p-value for the regression equation that fits the given data. Round your answer to four decimal places.

Step 2 of 2: Determine if a statistically significant linear relationship exists between the independent and dependent variables at the 0.01 level of significance. If the relationship is statistically significant, identify the multiple regression equation that best fits the data, rounding the answers to three decimal places. Otherwise, indicate that there is not enough evidence to show that the relationship is statistically significant.

Answer:

9

Step-by-step explanation:

if one marble is blue and 9 are other colors than its a 1/10 chance of getting a blue marble

The slope of the given function is not constant therefore it will not be a linear function so option (A) will be correct.

A straight line on the coordinate plane is represented by a linear function.

The formula for a linear function is f(x) = ax + b, where a and b are real values.

Given the data table,

If we take its point as coordinate then (1,6),(6,27),(11,50)(13,56) and (16,70).

Slope associated with two points (1,6), (6,27)

(27 - 6)/(6 - 1) = 4.2

Now Slope is associated with two points(6,27),(11,50)

(50 - 27)/(11 - 6) = 4.6

Since the slope is not the same therefore given function is not the linear function because the linear function has a constant slope.

Hence "The slope of the given function is not constant therefore it will not be a linear function".

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1) The converse of "If you do no go to an Italian restaurant, then you like sea food" is; "If you do not like sea food, then you will go to an Italian restaurant"

2) The inverse of "If you do no go to an Italian restaurant, then you like sea food" is; "If you go to an Italian restaurant, then you don't like sea food"

3) The contrapositive of "If you do no go to an Italian restaurant, then you like sea food" is; If you do not like sea food, then you will go to an Italian Restaurant"

1) The converse of a statement is formed by switching the hypothesis and the conclusion. The converse of "If two lines don't intersect, then they are parallel" is "If two lines are parallel, then they don't intersect." Thus, the converse of "If you do no go to an Italian restaurant, then you like sea food" is; "If you do not like sea food, then you will go to an Italian restaurant"

2) The inverse of a conditional statement is when both the hypothesis and conclusion are negated. Thus, the inverse of "If you do no go to an Italian restaurant, then you like sea food" is; "If you go to an Italian restaurant, then you don't like sea food"

3) The contrapositive of a conditional statement is to interchange the hypothesis and the conclusion of the inverse statement. The contrapositive of "If it rains, then they cancel school" is "If they do not cancel school, then it does not rain.". Thus, the contrapositive of "If you do no go to an Italian restaurant, then you like sea food" is; If you do not like sea food, then you will go to an Italian Restaurant"

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an invertible sheaf l on x is globally generated if and only if for any point p ∈ x, there is a global section of l not vanishing at p

This fact leads to the first assumption naturally, but neither it nor the other implication can be proven.

Vanishing means to leave or cease existing, especially in an abrupt or unexpected manner.

I be a quasicompact sheaf that can be inverted. X

demonstrate the existence of an epimorphism O ⊕I/X →I

OX⊕I→I if and only if for any point p∈X

p∈X there exists a global section of I

L not vanishing at p

If there is an epimorphism, it is asserted on page 121 of Hartshorne's book O ⊕I/X→I

OX⊕I→I Afterward, a family of global parts exists

{si} i∈I

{si}i∈I of I

I such that Ip is generated by {si,}i∈I

{si,p}i∈I as O

X,p

OX,p-module for every p∈X

This fact leads to the first assumption naturally, but neither it nor the other implication can be proven.

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Answer:

thanks for the points x

Step-by-step explanation:

thanks

Answer:

52

Step-by-step explanation:

-(10 + (-6)) - ((-55) + 1 - 2)

(-10 + 6) + (55 - 1 + 2)

(-4) + (56) = 52

I hope this helps!

Answer:

0 = 0

Step-by-step explanation:

Combine like terms: combine x and -2.

rearrange the terms on left side.

subtract 3 from both sides.

simplify (subtract -x and x)

0=0