Write the equation in slope intercept form. -2x-8y= 24


- please help

Answer:

Total number of days in the mines = 4.5 days  + 3 days ≥ 7.5 days

Step-by-step explanation:

Requirement : 12 Ibs gold and 18 Ibs silver  to pay monthly rent

Mine 1 ; 2 Ibs of gold , 2Ibs of silver.

Mine 2; 1 Ib of gold , 3 Ibs of silver

using LP

Gold :  aX1  + bX2 ≥  12   ---------- ( 1 )

Silver:  cX1  + dX2 ≥  18  --------- ( 2 )

where; X1 = days spent in Mine 1

            X2 = days spent in Mine 2

Total days spent in mines : X1 + X2 =

a = Gold found in mine 1  = 2

b = Gold found in mine 2 = 1

c = silver found in mine 1 = 2

d = silver found in mine 2  = 3

Back to equations 1 and 2

2X1 +  X2   ≥  12 ----------- ( 3 )

2X1 + 3X2  ≥  18  ------------ ( 4 )

solving equations 3 and 4

= 0 +  2X2 ≥ 6  ∴ X2 ≥ 3 days  ( days spent in mine 2 )

Input value into ( 3)

2X1 ≥ 12 - 3 = 9

∴ X1 ≥ 4.5 days ( days spent in mine 1 )

Total number of days in the mines = 4.5 days  + 3 days ≥ 7.5 days

Answer:

a) The null hypothesis is [tex]H_0: \mu = 310[/tex] and the alternative hypothesis is [tex]H_1: \mu < 310[/tex].

b) The test statistic is [tex]t = -1.54[/tex]. The critical value is [tex]t_c = -2.473[/tex].

c) The test statistic is [tex]t = -1.54 < t_c = -2.473[/tex], which means that there is not enough evidence to reject the null hypothesis that the mean transaction time is of 310 times, so no evidence to conclude that the mean transaction time is less than 310 seconds.

Step-by-step explanation:

Question a:

Costco is interested in finding out whether the mean transaction time is less than 310 seconds.

At the null hypothesis, we test if the mean is of 310 seconds, that is:

[tex]H_0: \mu = 310[/tex]

At the alternative hypothesis, we test if the mean is of less than 310 seconds, that is:

[tex]H_1: \mu < 310[/tex]

b) Find the test statistic and the critical value at 1% significance level.

Test if the mean is less than a value, sample of 28, and standard deviation for the sample. Thus, we have a left-tailed t-test with 28 - 1 = 27 degrees of freedom and a 0.01 significance level, and the critical value is [tex]t_c = -2.473[/tex].

The test statistic is:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation pf the sample and n is the size of the sample.

310 is tested at the null hypothesis:

This means that [tex]\mu = 310[/tex].

A sample of 28 sales transactions at Costco shows a mean transaction time of 296 seconds with a standard deviation of 48 seconds.

This means that [tex]n = 28, X = 296, s = 48[/tex].

Value of the test statistic:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{296 - 310}{\frac{48}{\sqrt{28}}}[/tex]

[tex]t = -1.54[/tex]

The test statistic is [tex]t = -1.54[/tex].

c) At 1% level of significance, what is your conclusion

The test statistic is [tex]t = -1.54 < t_c = -2.473[/tex], which means that there is not enough evidence to reject the null hypothesis that the mean transaction time is of 310 times, so no evidence to conclude that the mean transaction time is less than 310 seconds.

Answer:

20 ways

Step-by-step explanation:

by using combination rule :

6C3 = 6! /(3! × 3!)

= 6×5×4×3! / 3! × 3×2×1

= 20 ways

==========================================================

Explanation:

Order matters because we want to distinguish between first place, second place, and third place winners. So something like ABC is different from BCA.

We have 6 ways to pick a first place winner, then 5 for second place, then 4 for third place. Overall, there are 6*5*4 = 30*4 = 120 permutations

You could use the nPr formula with n = 6 and r = 3 as an alternative method

[tex]_n P _r = \frac{n!}{(n-r)!}[/tex]

The exclamation marks indicate a factorial.

Answer:

0.00793650794 or 8/7 in fraction form

Step-by-step explanation:

Find the reciprocal of the divisor

If the triangles are similar, then the angles are all congruent.

Therefore, we can start by setting the two middle angles equal to each other.

4x + 7 = 5x - 10

7 = x - 10

x = 17

Middle angle = 75

Now that we know our x-value, we can simply plug in x for our other two expressions.

3 * 17 = 51

4(17) - 14 = 54

We can check to make sure that our angle measures are correct by adding them all up and making sure they equal 180.

54 + 51 + 75 = 180

180 = 180

Hope this helps!! :)

Answer:

54, 51, 75

Step-by-step explanation:

4x+7=5x-10 because they are vertical angles and are therefore equal to eachother. x=17.

After plugging the 17 into the equations you get 4(17)+7=75. 3(17)=51. All angles in a triangle add up to 180. We already have 75 and 51 in the first triangle, to get the third length you need to subtract that from 180. 180-75+51=54.

The second triangle will give you the same lengths. 5x-10=75. 4(17)-14=54. Again, 180-75-54=51.

Your final lengths are 75,51,54.

Answer: Choice C

13.9% is a parameter derived from a national Census that includes all individuals in a population

======================================================

Explanation:

A census is a term in statistics that means that you survey or poll every individual in the population. In this case, the population is the set of people in the United States. As you can probably guess, a census takes a very long time, requiring lots of money and a lot of people to conduct it. The US census takes place every 10 years. The last of which happened in 2020. Despite the long time gap, census workers are always gearing up in the background getting ready for the next census on the horizon (since it's such a massive undertaking).

Because taking a census in statistics requires so much energy, it's often more effective to form a sample and try to see what the characteristics of that sample are like. If the sample is representative enough (ie is unbiased), then the sample statistics should be fairly close to the parameter counterparts. In this situation, we could maybe randomly select 10 states of the 50 total, and then ask everyone in those states what their ethnicity is. In this case, we're using a cluster sampling technique.

Answer: 48

Step-by-step explanation: you will have to multiply

Answer:

17.89 ft if I'm correct.....

Answer:

Step-by-step explanation:

Area is the product of two dimensions.

If the scale factor is k, the ratio of areas is k².

20% down means 0.8 times:

Now the width of the image is:

Correct choice is D

Answer:

D. 36.56 cm²

Step-by-step explanation:

The composite figure is composed of a rectangle and two semicircles.

The two semicircles makes 1 full circle.

Thus:

Area of the composite figure = area of rectangle + area of circle

= L*W + πr²

L = 6 cm

W = 4 cm

r = ½(4) = 2 cm

Area = 6*4 + π*2²

Area = 24 + 12.56

Area = 36.56 cm²

Answer:a

Step-by-step explanation:a

Answer:

257

Step-by-step explanation:

Answer:

the value of x is 90 Your answer

Step-by-step explanation:

Answer:

If its x^2 + 3x - 1 it is not a factor.

Step-by-step explanation:

x^2+3x - 1  is a factor of x^3+2x^2-5x-6​?

Try dividing:

x^2+3x - 1 ) x^3 + 2x^2 - 5x - 6​( x - 1

                  x^3 + 3x^2 - x

                          - x^2  -4x - 6

                          -x^2 - 3x + 1

                                   - x - 7  <------- remainder.

Answer:

56 units

Step-by-step explanation:

add each side, you can get the hypotenuse using the formula a^2+b^2=c^2

Answer:

Step-by-step explanation:

The coordinates for point A is (8,120)

Answer:

the third one

Step-by-step explanation:

2 1/2

Answer:

The answer is the first day

Answer:

[tex]c=\sqrt{174}[/tex]

Step-by-step explanation:

First, find the length of MP. This can be done with the Pythagorean Theorem.

We can use x as angle MP.

a² + b² = c²

10²+ 7² = x²

100 + 49 = x²

x² = 149

Take the square root to get

x = √(149)

Now do the Pythagorean Theorem for Triangle MNP. We can again use x for angle NP.

a² + b² = c²

5² + √(149)² = c²

25 + 149 = c²

c² = 174

c = √(174)

Answer:

60 units

Step-by-step explanation:

Its a 5 × 3 × 4 cube

To find volume multiply the dimensions and you will get 60

Answer:

60 units

Step-by-step explanation:

I did the test.

Answer:

i think is the answer is

sin(A+B)

Answer:

Numerator:

Divide by cos A cos B:

Denominator:

Divide by cos A cos B:

Connect all bits together to get:

Answer:

[tex]36^\circ[/tex]

Step-by-step explanation:

If you add the measures of the two marked angles, you get [tex]180^\circ[/tex].  The two angles form what some call a linear pair.

Set up and solve an equation.

4x + x = 180

5x = 180

x = 180 / 5

x = 36 degrees

Answer:

The answer is A.

Step-by-step explanation:

If you count how many blocks it takes on the y axis, you will get 7 but note that it is reflected so it is -7. If you count how many blocks it takes on the x axis you get -3. So the answer is (-3,-7).

Answer:

66.48% of full-term babies are between 19 and 21 inches long at birth

Step-by-step explanation:

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.

Mean length of 20.5 inches and a standard deviation of 0.90 inches.

This means that [tex]\mu = 20.5, \sigma = 0.9[/tex]

What percentage of full-term babies are between 19 and 21 inches long at birth?

The proportion is the p-value of Z when X = 21 subtracted by the p-value of Z when X = 19. Then

X = 21

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

[tex]Z = \frac{21 - 20.5}{0.9}[/tex]

[tex]Z = 0.56[/tex]

[tex]Z = 0.56[/tex] has a p-value of 0.7123

X = 19

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

[tex]Z = \frac{19 - 20.5}{0.9}[/tex]

[tex]Z = -1.67[/tex]

[tex]Z = -1.67[/tex] has a p-value of 0.0475

0.7123 - 0.0475 = 0.6648

0.6648*100% = 66.48%

66.48% of full-term babies are between 19 and 21 inches long at birth

Answer:

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Answer:

2 squads of five can be picked from 10 basketball players

Step-by-step explanation:

To solve this problem you have to divide 10 ÷ 2 which equals to 5.

Answer:

(u – t)(u² - 12) is equal to 0.5.

Step-by-step explanation:

First let's find u and t:

Given u + t = 5, and u - t = 2

We'll substitute one of those into the other equation.

Let's solve the second one for u:

u - t = 2

u = 2 + t

Now we can substitute that definition into the first equation:

u + t = 5

(2 + t) + t = 5

2 + 2t = 5

2t = 3

t = 1.5

Now we can substitute that into either of the original equations to find u:

u = 2 + t

u = 2 + 1.5

u = 3.5

So t = 1.5 and u = 3.5. Now we can substitute them into the given expression to solve it:

(u – t)(u² - 12)

= (3.5 – 1.5)(3.5² - 12)

= (3.5 – 1.5)(12.25 - 12)

= 2 × 0.25

= 0.5

Answer:

0.5

Step-by-step explanation:

You know that u-t is 2, so it'll be 2([tex]u^{2}[/tex] -12)

Now, system of equations to solve for u.  if u+t=5, this means t=5-u, you can plug it in into u-t=2, so u-(5-u)=2. Now you know that u is 3.5, so do the calculations.

Answer:

b) (391.52, 404.48)

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 39 - 1 = 38

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 38 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.0244

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.0244\frac{20}{\sqrt{39}} = 6.48[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 398 - 6.48 = 391.52.

The upper end of the interval is the sample mean added to M. So it is 398 + 6.48 = 404.48.

The CI is (391.52, 404.58), and the correct answer is given by option B.

Answer:

2,7   2,3   3/4

Step-by-step explanation:

2,7 = 0.29  2,3 = 0.67  3/4 = 0.75

Answer:

The equivalent angle on the first quadrant is 44º. On the second quadrant, it is the given angle of 146º.

The equivalent angle on the third quadrant is 214º.

The equivalent angle on the fourth quadrant is 316º.

Step-by-step explanation:

On the first quadrant:

The equivalent in the second quadrant of a angle on the first quadrant a is 180 subtracted by the angle, that is, 180 - a.

In this question, the reference angle is 146º, which is on the second quadrant.

So, on the first quadrant:

146 = 180 - a -> a = 180 - 146 = 44.

The equivalent angle on the first quadrant is 44º. On the second quadrant, it is the given angle of 146º.

Third quadrant:

The equivalent angle on the third quadrant is 2 multiplied by 180 and subtracted by the second quadrant angle. So

2*180 - 146 = 360 - 146 = 214º.

The equivalent angle on the third quadrant is 214º.

Fourth quadrant:

The equivalent angle on the fourth quadrant is 360 subtracted by the angle on the first quadrant. So

360 - 44 = 316º

The equivalent angle on the fourth quadrant is 316º.

Answer:

13

Step-by-step explanation:

Answer:

B. 13

Step-by-step explanation:

if 5 were eaten, that's 5/13, and there's 8/13 left. 5 out of thirteen total were eaten and 8 out of thirteen total were left.