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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:

x=7

Step-by-step explanation:

(3x+7)=4x

Subtract 3x from each side

(3x+7) -3x=4x-3x

7 = x

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:

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:

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:

1 cup

Step-by-step explanation:

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

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:

33.51

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: I got's you lol

A≈13.85cm²

And the radius is 2.1

Step-by-step explanation:

Hope this helps let me know :)

Answer:

A= 13.8474

Step-by-step explanation:

The formula for the area of a circle is A= πr^2 (pi times r, or radius, squared).

So if you insert the values into the formula you have....

A= 3.14(2.1 cm)^2

You can use a calculator from there to get....

A= 13.8474

Answer:

The weight of the dog is 12 pounds and the weight of the cat is 4 pounds.

Step-by-step explanation:

Let d represent the weight of the dog. Let c represent the weight of the cat.

Let's make a system of equations.

d+c=16

d=3c

We can use subsitution.

3c+c=16

4c=16

c=4

We can subsitute back into one of the two equations to find the weight of the dog.

d=3c

d=3(4)

d=12

The weight of the dog is 12 pounds and the weight of the cat is 4 pounds.

Answer:11 25/64 In^3

Step-by-step explanation:

Length =2 1/4

Volume of cube=L x L x L

Volume=2 1/4 x 2 1/4 x 2 1/4

Volume=9/4 x 9/4 x 9/4

Volume=(9x9x9) ➗ (4x4x4)

Volume=729 ➗ 64

Volume=11 25/64

Answer:

120

Step-by-step explanation:

20 ÷2=10 10×12=120

or 20×6=120

Answer:

m<1 = 50°

m<2 = 130°

m<3 = 50°

m<4 = 130°

m<5 = 50°

m<6 = 130°

m<7 = 50°

m<8 = 130°

Step-by-step explanation:

Angle 4 & Angle 2 are congruent angles because they are diagonal from each other, this lets us set m<4 = m<2.

Then solve for x.

2x-10 = x+60

x-10 = 60

x = 70

Use x to find m<4 or m<2 (doesn't matter which b/c they are equal).

m<2 = (70)+60

m<2 = 130°

Angles 2, 4, 6 & 8 are congruent, so they will all have be 130°.

Angles 1 & 2 create a straight line (180°).

Find m<1 by subtracting 130° from 180°.

180-130 = 50

Angles 1, 3, 5 & 7 are also congruent, so they will all have be 50°.

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:

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:

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:

[tex] y = 300 (2)^x[/tex]

Where x represent the number of period of times of 22 minutes. If we want to know the value of the population after 66 minutes we need to find the value of x on this way:

[tex] x = 66 minutes *\frac{1period}{22 minutes}= 3[/tex]

So then we need to replace the value of x =3 and we got:

[tex] y= 300 (2)^3 = 2400[/tex]

Step-by-step explanation:

For this case we have the following function:

[tex] y = 300 (2)^x[/tex]

Where x represent the number of period of times of 22 minutes. If we want to know the value of the population after 66 minutes we need to find the value of x on this way:

[tex] x = 66 minutes *\frac{1period}{22 minutes}= 3[/tex]

So then we need to replace the value of x =3 and we got:

[tex] y= 300 (2)^3 = 2400[/tex]

Answer:

  D.  31

Step-by-step explanation:

The edge dimension of a cube is the cube root of the volume. For the two boxes that are 1331 m³, the height is ...

  ∛(1331 m³) = 11 m

For the box that is 729 m³, the height is ...

  ∛(729 m³) = 9 m

Then the total height of the stack of boxes is ...

  11 m + 11 m + 9 m = 31 m

Answer:

31

Step-by-step explanation:

I took the test on Edmentum, have a good day hope it helps :)

Answer:

Since 1 mm = . 03937 inches, mm would seem to be the units appropriate for defining the thickness of a coin measuring 2 units.

Step-by-step explanation:

Answer:4 and 5

Step-by-step explanation:

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

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:

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:

  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:

Check the explanation

Step-by-step explanation:

All the 5 rows of the coefficient matrix (since it is of order 5×8) will have a pivot position. The augmented matrix obtained by adding a last column of constant terms to the 8 columns of the coefficient matrix will have nine columns and will not have a row of the form [0 0 0 0 0 0 0 0 1]. So the system is consistent.

Answer:

10 pieces

Step-by-step explanation:

Total no. of pieces of calzone = 24

No of pieces of calzone eaten by sophie = 1/4 of Total no. of pieces of calzone  = 1/4 of 24 = (1/4)*24= 6 pieces.

No of pieces of calzone eaten by Glenn = 1/4 of Total no. of pieces of calzone  = 1/4 of 24 = (1/4)*24= 6 pieces.

Total no of pieces eaten by both of them on saturday = 12.

No of pieces of calzone left = 24-12 = 12

_______________________________________________

No of pieces of calzone eaten by Glenn on next day = 1/6 of Total no. of pieces of calzone  left= 1/6 of 12 = (1/6)*12= 2 pieces

No of pieces of calzone left now after Glenn ate 2 of them = 12-2 = 10.

Thus 10 pieces  of original calzone are left  .

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

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:

2 are in the last row