What’s the volume of the solid ?

Answer:

a) 4 hours

b) 11 am

Step-by-step explanation:

So say the number of hours is x

a) 72 + 6x = 96

6x = 24

x = 4

b) 7am + 4 hours = 11am

Answer:

-18

Step-by-step explanation:

let n be the number

(6-n)/3 = 8

6-n = 24

6-24 = n

-18 = n

Answer:

The number is 30

Step-by-step explanation:

Six minus a number divided by 3 equals 8

x-6/3 = 8

x-6 = 8*3

x = 24 +6

x = 30

Answer:

4x - 5y = 10

Step-by-step explanation:

Any line parallel to 4x - 5y = 35 will have the same equation EXCEPT that the constant will be different.

Starting with 4x - 5y = 35, replace x with the given x-coordinate -5 and the given y-coordinate -6, and finally the given 35 with the constant C:

4(-5) - 5(-6) = C, or

-20 + 30 = C.  Thus, C = 10, and the equation of the new line is

4x - 5y = 10

The equation of line is 4x - 5y = 10

A straight line's general equation is y = mx + c, where m is the gradient. On the y-axis, this number c is referred to as the intercept. Key Point y = mx + c is the equation for a straight line with a gradient of m and an intercept of c on the y-axis.

Given the points (-5,-6)

and parallel to line 4x - 5y = 35...…..(1)

the equation of line is (y - y₁) = m( x - x₁)

for parallel line condition the value of m is equal to both equations

converting eq. 1 in the form of y = mx + c

4x - 5y = 35

we get y = 4/5x -7

here m = 4/5 and c = -7

substitute the value of m in  equation of line

where y₁ = -6; x₁ = -5

(y - (-6)) = 4/5(x - (-5))

y +6 = 4/5(x+5)

simplify above eq. we get

4x - 5y = 20

Hence the equation of  the line that passes through the point (- 5, - 6) is  4x - 5y = 20

Learn more about equation of line

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Answer:

a) The range of scores that includes the middle 95% of these test scores is between 470 and 674.

b) The range of scores that includes the middle 90% of these test scores is between 488.1 and 655.9.

Step-by-step explanation:

68-95-99.7 rule:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Z-score:

Problems of normally distributed samples are 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.

In this question:

Mean [tex]\mu = 572[/tex], standard deviation [tex]\sigma = 51[/tex]

a. Use the 68-95-99.7 rule to estimate the range of scores that includes the middle 95% of these test scores.

By the 68-95-99.7 rule, within 2 standard deviations of the mean.

572 - 2*51 = 470

572 + 2*51 = 674

The range of scores that includes the middle 95% of these test scores is between 470 and 674.

b. Use technology to estimate the range of scores that includes the middle 90% of these test scores.

Using the z-score formula.

Between these following percentiles:

50 - (90/2) = 5th percentile

50 + (90/2) = 95th percentile.

5th percentile.

X when Z has a pvalue of 0.05. So when X when Z = -1.645.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-1.645 = \frac{X - 572}{51}[/tex]

[tex]X - 572 = -1.645*51[/tex]

[tex]X = 488.1[/tex]

95th percentile.

X when Z has a pvalue of 0.95. So when X when Z = 1.645.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.645 = \frac{X - 572}{51}[/tex]

[tex]X - 572 = 1.645*51[/tex]

[tex]X = 655.9[/tex]

The range of scores that includes the middle 90% of these test scores is between 488.1 and 655.9.

Answer:

1 cup

Step-by-step explanation:

3 1/3 - 2 1/3 = 1 cup

Answer:

Step-by-step explanation:

A type I error occurs when the null hypothesis is rejected in favor of the alternative hypothesis when the null hypothesis is actually true.

A type II error occurs when the researcher fails to reject the null hypothesis when the null is false.

H0: woman has cancer in the other breast

Ha: woman does not have cancer In the other breast

A) One possible error would be deciding that a woman who does have cancer in the other breast Is cancer-free. Is this a Type 1 or a Type II error?

This error is a type I error as the patient does have cancer which should warrant failing to reject the null but the null was rejected in favour of the alternative.

A Type II error would be coming to the conclusion that the woman does have cancer in the other breast when in fact she does not have cancer in the other breast.

This is a second type of error that can occur and it is a type II error: failing to reject the null when not true.

Answer:

Step-by-step explanation:

Adding any multiple of 2π radians to the angle will result in the same point. So, one set of coordinates of the same point can be ...

  (7, π/3 +2kπ) . . . . for any integer k

The value of the radius can be negated, and an odd multiple of π can be added to the angle to get the same point. Another set of coordinates of the same point can be ...

  (-7, 4π/3 +2kπ) . . . . for any integer k

Answer:

D. Vertx: (3,-16); Intercepts: x = -1, 7

Step-by-step explanation:

I graphed the equation on the graph below.

Answer:

  [tex]\left[\begin{array}{cc}63&38\\49&28\end{array}\right][/tex]

Step-by-step explanation:

  [tex]\left[\begin{array}{cc}1&8\\0&7\end{array}\right]\left[\begin{array}{cc}7&6\\7&4\end{array}\right]=\left[\begin{array}{cc}(1)(7)+(8)(7)&(1)(6)+(8)(4)\\(0)(7)+(7)(7)&(0)(6)+(7)(4)\end{array}\right]\\\\=\left[\begin{array}{cc}63&38\\49&28\end{array}\right][/tex]

Each element of the product matrix is the dot product of the corresponding row in the left matrix and the corresponding column in the right matrix.

For example, the element at row 2, column 1 of the product is [0 7]·[7, 7], the dot product of row 2 of the left matrix with column 1 of the right matrix.

_____

Many calculators, spreadsheets, and web sites can do this tedious math for you.

Answer:

a = 1/6

Step-by-step explanation:

-5=a(0-2)(0-3)(0-5)

Simplify

-5=a(-2)(-3)(-5)

-5 = a(-30)

Divide each side by -30

-5/-30 = -30a/-30

1/6 =a

Answer:

1/6

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

6+8 equals 14. 14-16 equals -2

Answer: The importance of learning is that it helps the individual to acquire the necessary skills through learning and knowledge so that he can achieve his set goals. An important fact about learning is that it is a means to improve knowledge and gain skills that will help in reaching specific goals

Step-by-step explanation:

The importance of learning is that it helps the individual to acquire the necessary skills through learning and knowledge so that he can achieve his set goals. An important fact about learning is that it is a means to improve knowledge and gain skills that will help in reaching specific goals

Answer:

Step-by-step explanation:

m−^8p^0

=1/m^8

Answer:

120

Step-by-step explanation:

20 ÷2=10 10×12=120

or 20×6=120

Answer:

2 are in the last row

Answer:

( 2, 4 )

Step-by-step explanation:

Look at the attachment

Answer: C & D

Step-by-step explanation:

I took the test and got it right (:

Hope this helps

A scalene triangle has NO equal sides A has 3 equal sides and B has 2 equal sides, so that means Triangles C & D are your answer!

Answer:

0,8,5

Step-by-step explanation:

x+22 <32

Subtract 22 from each side

x+22-22 <32-22

x <10

The choices that fit

0,8,5

Answer:

Therefore, our applicable set is: 0, 8, and 5. All of these numbers make the inequality true.

Step-by-step explanation:

x + 22 < 32

This problem is fairly simple! All we need to do is substitute each number given for x and compute to find out if the equation will be true! First what we need to do is plug in each number given into our variable x. Our numbers are: 0, 10, 8, 71, 15, and 5

x = 0

0 + 22 < 32

22 < 32

Is 22 less than 32? It is! So it belongs to the solution set.

x = 10

10 + 22 < 32

32 < 32

32 is equal to 32, not less than 32. A number cannot be itself and less than itself, thus x = 10 does not belong to the solution set.

x = 8

8 + 22 < 32

30 < 32

Is 30 less than 32? Yes! Since the inequality is true (that's what these kinds of equations are called) it  belongs to the solution set.

x = 71

71 + 22 < 32

94 < 32

Is 94 less than 32? No. 71 does not belong to this solution set.

x = 15

15 + 22 < 32

37 < 32

37 is not less than 32. Therefore it doesn't belong to the solution set.

x = 5

5 + 22 < 32

27 < 32

Is 27 less than 32? Yes. Therefore, it belongs to the solution set.

Therefore, our applicable set is: 0, 8, and 5. All of these numbers make the inequality true.

Answer:

Option A

Step-by-step explanation:

22+(-32) is the same thing as 22-32.

[tex]22-32=-10[/tex]

Option A:

[tex]22+(-22)+(-10) \\22-22-10\leftarrow \text{Distribute -1 into the Parentheses.} \\0-10\\\boxed {-10}[/tex]

Option A's expression has the same value as the expression given.

Option B:

22+(22)+(-10)

[tex]22+22-10\\44-10\\\boxed {34}[/tex]

Option B's expression does not have the same value as the expression given.

Option C:

[tex]22+(-22)+(10)\\22-22+10\\0+10\\\boxed {10}[/tex]

Option C's expression does not have the same value as the expression given.

Option D:

[tex]22+0+32\\22+32\\\boxed{54}[/tex]

Option D's expression does not have the same value as the expression given.

Answer:

the answer is A

hoped this helped

Answer:4 and 5

Step-by-step explanation:

√(20) is approximately 4.5 so it is between 4 and 5

Answer:

26.3%

Step-by-step explanation:

5 is divided by 19

That answer is then multiplied by 100.

You may round your answer to the nearest whole number.

Answer:

[tex]x^{4}[/tex] - 4x³ - 5x²

Step-by-step explanation:

-x²(-x² + 4x + 5)         Distribute

[tex]x^{4}[/tex] - 4x³ - 5x²

If this answer is correct, please make me Brainliest!

Answer:

a) With a confidence level of 98%, the percentage of all males who identify themselves as the primary grocery shopper are between 0.4962 and 0.5438.

b) The lower limit of the confidence interval is higher that 0.43, so if he conduct a hypothesis test, he will find that the data shows evidence to said that the fraction is higher than 43%.

c) [tex]\alpha =1-0.98=0.02[/tex]

Step-by-step explanation:

If np' and n(1-p') are higher than 5, a confidence interval for the proportion is calculated as:

[tex]p'-z_{\alpha/2}\sqrt{\frac{p'(1-p')}{n} }\leq p\leq p'+z_{\alpha/2}\sqrt{\frac{p'(1-p')}{n} }[/tex]

Where p' is the proportion of the sample, n is the size of the sample, p is the proportion of the population and [tex]z_{\alpha/2}[/tex] is the z-value that let a probability of [tex]\alpha/2[/tex] on the right tail.

Then, a 98% confidence interval for the percentage of all males who identify themselves as the primary grocery shopper can be calculated replacing p' by 0.52, n by 2400, [tex]\alpha[/tex] by 0.02 and [tex]z_{\alpha/2}[/tex] by 2.33

Where p' and [tex]\alpha[/tex] are calculated as:

[tex]p' = \frac{1248}{2400}=0.52\\\alpha =1-0.98=0.02[/tex]

So, replacing the values we get:

[tex]0.52-2.33\sqrt{\frac{0.52(1-0.52)}{2400} }\leq p\leq 0.52+2.33\sqrt{\frac{0.52(1-0.52)}{2400} }\\0.52-0.0238\leq p\leq 0.52+0.0238\\0.4962\leq p\leq 0.5438[/tex]

With a confidence level of 98%, the percentage of all males who identify themselves as the primary grocery shopper are between 0.4962 and 0.5438.

The lower limit of the confidence interval is higher that 0.43, so if he conduct a hypothesis test, he will find that the data shows evidence to said that the fraction is higher than 43%.

Finally, the level of significance is the probability to reject the null hypothesis given that the null hypothesis is true. It is also the complement of the level of confidence. So, if we create a 98% confidence interval, the level of confidence [tex]1-\alpha[/tex] is equal to 98%

It means the the level of significance [tex]\alpha[/tex] is:

[tex]\alpha =1-0.98=0.02[/tex]

Answer:

y = (-1/2)x + 9/2

Step-by-step explanation:

the equation of a straight line can be written as;

y = mx + c ......1

Where;

m = slope

c = intercept

For two lines to be perpendicular their slope must be opposite reciprocal of each other.

m1 × m2 = -1 .....2

Given;

The equation Contains (3, 3); and perpendicular to the line y = 2x - 1

Slope of the given equation m1 = 2

Slope of the line m2; substituting m1 to equation 2.

2 × m2 = -1

m2 = -1/2

So,

y = (-1/2)x + c

To solve for c, let's substitute the given point on the line; (3,3).

3 = (-1/2)(3) + c

3 = -3/2 + c

c = 3 + 3/2

c = 9/2

Therefore, the equation of the line that has the given properties is;

y = (-1/2)x + 9/2

Answer:

  3 feet

Step-by-step explanation:

If there are 6 boxes in each layer, there are 3 layers to have a total of 18 boxes, each of which is 1 cubic foot.

Three layers of boxes that are 1 ft high will be 3 ft high.

The height of the freezer space is 3 feet.

Answer:

33.51

Step-by-step explanation:

Answer:

A. 2

Step-by-step explanation:

[tex] y = 16x^2 - 8x + 1[/tex] is a quadratic function, hence on solving it will give two zeros, therefore graph of the function will intersect x axis in two points.

Answer:

33.51

Step-by-step explanation:

You need to use the equation [tex]\frac{4}{3} \pi r[/tex]³.

Hope this helps.

Answer:10.7π

Step-by-step explanation:

radius=r=2

volume of sphere=4/3 x π x r x r x r

Volume of sphere=4/3xπx2x2x2

Volume of sphere=(4xπx2x2x2) ➗ 3

Volume of sphere=32π ➗ 3

Volume of sphere=10.7π

9514 1404 393

Answer:

  A. Side lengths of 4 units and 2 units and a nonincluded angle of 30°

Step-by-step explanation:

Both triangles have sides marked 2 units and 4 units, but the angle is not between them. The angle is opposite the short side in one triangle (which will be a right triangle), and opposite the long side in the other triangle (which will be an obtuse triangle). The sides and angles of the two triangles will not have the same measures, and neither will have an angle of 100°.

The first description is appropriate:

  Side lengths of 4 units and 2 units and a nonincluded angle of 30°

Answer:

The number of potential members predicted in next year's estimate becomes 193. The further explanation is given below.

Step-by-step explanation:

The slope of the model,

m = 15.345

c = 24

After comparing with the equation,

⇒  [tex]y=mx+c[/tex]

we get,

⇒     [tex]=15.345x + 24[/tex]

The slope seems to be a positive value which also means that another always improves this as component decreases. Which ensures that perhaps the number of contributors rising as time went by.

So that the above is the right answer.