Customers at a restaurant can build their own burrito by choosing one item from each category shown in the table.

Answer:

[tex]2x^2y\sqrt[3]{7xy^2}[/tex]

Step-by-step explanation:

Given

[tex]\sqrt[3]{56x^7y^5}[/tex]

Required

Solve

Expand

[tex]\sqrt[3]{8*7*x^6*x*y^3*y^2}[/tex]

Rewrite as:

[tex]\sqrt[3]{8*x^6*y^3*7*x*y^2}[/tex]

Split

[tex]\sqrt[3]{8*x^6*y^3} *\sqrt[3]{7*x*y^2}[/tex]

Express 8 as 2^3

[tex]\sqrt[3]{2^3*x^6*y^3} *\sqrt[3]{7*x*y^2}[/tex]

Apply law of indices

[tex]2^{(3/3)}*x^{(6/3)}*y^{(3/3)} *\sqrt[3]{7*x*y^2}[/tex]

[tex]2*x^2*y *\sqrt[3]{7*x*y^2}[/tex]

[tex]2x^2y *\sqrt[3]{7xy^2}[/tex]

[tex]2x^2y\sqrt[3]{7xy^2}[/tex]

Answer:

If the first marble is replaced before the second marble is drawn, the probability of P is 24%; while if the first marble is not replaced before the second marble is drawn, the probability of P is 26.66%.

Step-by-step explanation:

Since a bag contains 4 blue and 6 green marbles, and two marbles are selected at random from the bag, to determine, if the first marble is replaced before the second marble is drawn, what is P (blue second | green first) and , if the first marble is not replaced before the second marble is drawn, what is P (blue second | green first) the following calculations must be performed:

Blue = 4/10

Green = 6/10

A) 6/10 x 4/10 = 0.24

B) 6/10 x 4/9 = 0.2666

Therefore, if the first marble is replaced before the second marble is drawn, the probability of P is 24%; while if the first marble is not replaced before the second marble is drawn, the probability of P is 26.66%.

Answer:

h(-8) = -40

Step-by-step explanation:

Find h(-8) by plugging in -8 as x:

h(x) = 1/4x² + 7x

h(-8) = 1/4(-8)² + 7(-8)

Simplify:

h(-8) = 1/4(64) - 56

h(-8) = 16 - 56

h(-8) = -40

So, the answer is h(-8) = -40

The value of h(-8) is -40.

Any equation containing one term in which the unknown is squared and no term in which it is raised to a higher power.

Given:

h(x)=1/4x²+7x

h(-8)= 1/4* 64+7*(-8)

      = 16-56

      = -40

Hence, h(-8)=-40.

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Translate: y - 46 > -184

Possible answer: y > - 138

Solution:

y - 46 > -184

= y > - 184 + 46

= y > - 138

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The Possible answer of the given statement could be as y > - 138.

If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true.

Such values are called solution to that equation or inequality.

A Set of such values is called solution set to the considered equation or inequality.

Given information;  46 less than y is at least -184

To Translate: y - 46 > -184

WE can solve it as;

y - 46 > -184

y > - 184 + 46

y > - 138

Therefore, The Possible answer of the given statement could be as y > - 138.

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Answer:

There are 24,524 books total.

Step-by-step explanation:

If you are asking for the total then you would just add 10785 and 8973 and 4766.

[tex]10785 + 8973+4766= 24524[/tex]

Answer:

m = 1 (since the gradient of parallel lines is the same)

Then substitute point (-1;2)

C = 3

y = x+3

Answer:

1. 10,12,14

2. 10,16,20

3. 3,23,61

Step-by-step explanation:

for example  2(3+r)

r would be 2 but it gave you that on the chart in the highlighted area

u replace it and it becomes 2(3+2)

distribute 2 and 3 and it becomes 6 then distribute 2 and 2 which becomes 4 then you add 6+4 which gives u 10 which is the first answer.

Answer:

1. B

2. B

3. B

4. A

5. D

6. A

7. C

8. D

9. A

10. C

Answer:

y = 1 and y = 5

Step-by-step explanation:

[tex]( 3 y -9)^2 + 7 = 43\\\\((3y)^2 + (-9)^2 + 2(3y)(-9)) = 43 - 7\\\\(9y^2 + 81 -54y) = 36\\\\9y^2 -54y + 81 -36 = 0\\\\9y^2 -54y + 45 = 0\\\\9(y^2 -6y + 5) = 0\\\\y^2 - 6y + 5 = 0\\\\y^2 - 5y - y + 5 = 0\\\\y(y - 5) -1(y - 5 ) = 0 \\\\( y - 1 )( y - 5) = 0\\\\y = 1 \ , \ y = 5[/tex]

The values of y in the equation (3y-9)^2+7 = 43 are 1 and 5

The equation is given as:

(3y-9)^2+7 = 43

Subtract 7 from both sides of the equation

(3y - 9)^2 = 36

Take the square root of both sides

3y - 9 = ±6

Add 9 to both sides

3y = 9 ± 6

Divide through by 3

y = 3 ± 2

Expand

y = (3 - 2 or 3 + 2)

Evaluate

y = 1 or 5

Hence, the values of y are 1 and 5

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Answer:

m∠8=120°

Step-by-step explanation:

Given that lines L and M are parallel to each other, keep in mind that ∠1 and ∠8 are opposite exterior angles, so they will be congruent to each other. Therefore, m∠8=120°.

Let n represent the interger l, the three consective intergers are represented by

[tex]n[/tex]

[tex]n + 2[/tex]

[tex]n + 4[/tex]

The second one represent

[tex](n + 2) {}^{2} + 76 =( n + 4) {}^{2} [/tex]

Simplify both sides

[tex]n {}^{2} + 4n + 4 + 76 = {n}^{2} + 8n + 16[/tex]

[tex] {n}^{2} + 4n + 4 = {n}^{2} + 8n - 60[/tex]

[tex]4n + 4 = 8n - 60[/tex]

[tex]4n + 64= 8n[/tex]

[tex]64= 4n[/tex]

[tex]n = 16[/tex]

The intergers are 16,18,20

Answer:

One sample t-test

Explanation:

The one sample t-test , also called single sample t test is a type of t test that measures the difference between a population mean and a hypothesized value,in this case the sample mean of widowed spouses that leave the house. The sample mean/hypothesized value is called the test value while the population mean is called the test variable. The one sample t test can only compare one sample mean to another given mean and not the mean of two samples or more.

Answer:

The null hypothesis is [tex]H_0: p \geq 0.2[/tex]

The alternative hypothesis is [tex]H_1: p < 0.2[/tex]

The p-value of the test is of 0.0154 > 0.01, which means that at the 0.01 significance level, there is not significant evidence that the return rate is less than 20%.

Step-by-step explanation:

Test the claim that the return rate is less than 20%.

At the null hypothesis, we test if the return rate is of at least 20%, that is:

[tex]H_0: p \geq 0.2[/tex]

At the alternative hypothesis, we test if the return rate is less than 20%, that is:

[tex]H_1: p < 0.2[/tex]

Normal distribution as an approximation to the binomial distribution to find the Z-score.

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Normal probability distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].

0.2 is tested at the null hypothesis. Sample of 6957.

This means that [tex]p = 0.2, n = 6957[/tex]. So

[tex]\mu = E(X) = np = 6957*0.2 = 1391.4[/tex]

[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{6957*0.2*0.8} = 33.36[/tex]

1319 surveys returned

This means that, due to continuity correction, [tex]X = 1319 + 0.5 = 1319.5[/tex]. So

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

[tex]Z = \frac{1319.5 - 1391.4}{33.36}[/tex]

[tex]Z = -2.16[/tex]

P-value of the test:

The p-value of the test is the probability of 1319 or less people returning the survey, which is the p-value of Z = -2.16.

Looking at the z-table, Z = -2.16 has a p-value of 0.0154.

The p-value of the test is of 0.0154 > 0.01, which means that at the 0.01 significance level, there is not significant evidence that the return rate is less than 20%.

it is true

tbh am not sure

Answer:

should be also 63 and 70 move them up

Step-by-step explanation:

interior angles are angles that are the same

Answer:A z-score is measured in units of the standard deviation. ... is two, the value 11 is three standard deviations above (or to the right of) the mean. ... The following two videos give a description of what it means to have a data set that is “normally” distributed. ... The z-scores for µ+3σ and µ–3σ are +3 and –3 respectively.

Step-by-step explanation:

Answer:

[tex] \dfrac{(x - 2)^2}{(x - 1)^2} [/tex]

Step-by-step explanation:

[tex] \dfrac{x^2 + x - 6}{x^2 - 6x + 5} \div \dfrac{x^2 + 2x - 3}{x^2 - 7x + 10} = [/tex]

[tex] = \dfrac{x^2 + x - 6}{x^2 - 6x + 5} \times \dfrac{x^2 - 7x + 10}{x^2 + 2x - 3} [/tex]

[tex] = \dfrac{(x + 3)(x - 2)}{(x - 1)(x - 5)} \times \dfrac{(x - 5)(x - 2)}{(x - 1)(x + 3)} [/tex]

[tex] = \dfrac{(x + 3)(x - 2)(x - 5)(x - 2)}{(x - 1)(x - 5)(x - 1)(x + 3)} [/tex]

[tex] = \dfrac{(x - 2)(x - 2)}{(x - 1)(x - 1)} [/tex]

[tex] = \dfrac{(x - 2)^2}{(x - 1)^2} [/tex]

1/10

Step-by-step explanation:

A∩B∩C means what these 3 numerical sets have in common, and it is the 2 in the center of the circle. The total elements in the pic are 20, and there are 2 elements inside the P, so

2/20 = 1/10

Answer:

The missing number is 20

Step-by-step explanation:

Given function: f(x) = 1/2x + 10

Rewrite: y = 1/2x + 10

Flip x and y: x = 1/2y + 10

x - 10 = 1/2y

2(x-10) = y

2x - 20 = y

y = 2x - 20

h(x) = 2x - 20

Answer:

D

Step-by-step explanation:

area times height dived by 3

note that the radius is 8

Answer:

D. [tex]\frac{512}{3}\pi[/tex] ≈ 535.9 m³

Step-by-step explanation:

Formula = πr²* h/3

Volume = π * 64 * 8/3

Volume = π * 512/3 = 535.89 ≈ 535.9

Answer = D. [tex]\frac{512}{3}\pi[/tex] ≈ 535.9m³

If my answer is incorrect, pls correct me!

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Answer:

The number of vials of type A insulin sold were _21__ and the number of vials of type B insulin sold were __29__.

Step-by-step explanation:

Let a = number of type A vials.

Let b = number of type B vials.

38.85a + 30.34b = 1695.71

a + b = 50

            38.85a + 30.34b = 1695.71

(+)        -38.85a - 38.85b = -1942.50

---------------------------------------------------

                               -8.51b = -246.79

b = 29

a + b = 50

a + 29 = 50

a = 21

Answer: The number of vials of type A insulin sold were _21__ and the number of vials of type B insulin sold were __29__.

Answer:

24 inches per year

Step-by-step explanation:

Given that the growth of the red wood tree is about :

300 feet tall in over 150 years ;

Given a steady growth ;

The growth per year is given by :

Height / number of years

300 fts / 150 years

= 2 feets per year

1 Feet = 12 inches

2 feets per year = 24 inches per year

Answer:

maybe because it is the only thing they can afford?

Step-by-step explanation:

this has many solutions to it, but to me it is simply because wifi is stationary and companies don't need to keep upgrading their systems to help them get internet in remote areas, so it is easier to find a place called home. but other than the wifi being great band-width strength, i can't see a reason why people (kids specifically) can't use data while on the go because some data plans can make it even cheaper than long-term wifi plans and at the same time some can also have signal strength that is acute to having home-wifi. and even better yet, you can still have mobile data inside your home without any difference in signal strength. so i say other-wise we could one-day ditch the old way of getting internet

Answer:

225 and greater

Step-by-step explanation:

900/4 or 900 cents/ 4 cents equals 225 on calculator

We use 225 minutes for Plan B to be less expensive than plan A.

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

For plan A,

We can pay 23 cents per minute.

This can be represented by the equation,

C= 0.23m

For plan B,

We can pay 19 cents per minute plus a flat fee of $9.00.

This can be represented by the equation,

C = 0.19m + 9.00

Now, To find the minutes for plan B is less expensive than plan B

We can write an inequality that represent,

Plan A < Plan B

0.23m < 0.19m + 9

0.23m - 0.19m < 9

0.04m < 9

Divide 0.04 both side,

m < 225

Thus, We use 225 minutes for Plan B to be less expensive than plan A.

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Answer:

d = 13

Step-by-step explanation:

Use distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\d=\sqrt{(5-0)^2+(5-(-7))^2}\\d=\sqrt{5^2+12^2}\\d=\sqrt{25+144}\\d=\sqrt{169}\\d=13[/tex]

Answer:

$91 is the answer.

Step-by-step explanation:

R = 6%

P = $70

T = 5 year

now

I = PTR/100

=(70×5×6)100

= 2100/100

= $21

So,

I = A-P

21 = A-70

21+70 = A

so, A = $91

Answer:

the speed in 18mph

Step-by-step explanation:

Answer:

[tex]Area = 216.108cm^2[/tex] --- You

[tex]Area = 216.940cm^2[/tex] --- Another student

Reason: Because there is a variation in the given dimensions

Step-by-step explanation:

Given

Your measurement

[tex]Length = 20.70cm; Width =10.44cm[/tex]

Another students'

[tex]Length = 20.74cm; Width =10.46cm[/tex]

Solving (a): The area

Area is calculated as:

[tex]Area = Length * Width[/tex]

For you

[tex]Area = 20.70cm * 10.44cm[/tex]

[tex]Area = 216.108cm^2[/tex]

For the other student

[tex]Area = 20.74cm * 10.46cm[/tex]

[tex]Area = 216.940cm^2[/tex]

Solving (b): Reason for the variation in the areas

The given measurements are estimates of the dimensions of the rectangle.

Since there is a variation in the estimates, there will be some level of variation in the calculated area.