IF x=-4 and y=6 then xy-3x=

Answer:

a) The sample proportion is 0.06.

b) The test statistic is z = -1.89.

c) 0.0294

d) 0.294 < 0.05, which means that there is enough evidence that p is less than 0.1, which means that we reject the null hypothesis, and accept the shipment.

Step-by-step explanation:

The null hypothesis is:

\(H_{0} = 0.1\)

The alternate hypotesis is:

\(H_{1} < 0.1\)

The test statistic is:

\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)

In which X is the sample mean, \(\mu\) is the value tested at the null hypothesis, \(\sigma\) is the standard deviation and n is the size of the sample.

a. Calculate the sample proportion p.

200 potatoes, 12 defective.

This means that \(p = \frac{12}{200} = 0.06\)

The sample proportion is 0.06.

b. Calculate the test statistic.

For a proportion p, we have that:

\(\sigma = \sqrt{p(1-p)}\)

In this question, since \(\mu = 0.1\)

\(\sigma = \sqrt{0.1}{0.9}\)

SRS of 200 means that \(n = 200\)

\(H{0} = 0.1\) means that \(\mu = 0.1\). So

\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)

\(z = \frac{0.06 - 0.1}{\frac{\sqrt{0.1*0.9}}{\sqrt{200}}}\)

\(z = -1.89\)

The test statistic is z = -1.89.

c. Find the p-value.

Looking at the z-table, \(z = -1.89\) has a pvalue of 0.0294, which is the pvalue of this hypothesis test.

d. Given α=0.05 what is your conclusion? Should he reject the shipment?

0.294 < 0.05, which means that there is enough evidence that p is less than 0.1, which means that we reject the null hypothesis, and accept the shipment.

Answer:

Pyramid formula: V= LWH/3

224

Step-by-step explanation:

Answer:

336

Step-by-step explanation:

The figure shown is a triangular prism

The volume of a triangular prism can be calculated by using this formula

\(V=ah\)

where a = area of base and h = height

we are already given the height ( 8 ft ) so all we need to find is the area of the base

Because this is triangular prism the base will be a triangle

The area of a triangle can be calculated using this formula

\(A=\frac{bh}{2}\) where b = base length and h = height

The base length of this particular triangular prism is 12 ft and the height of the base is 7 ft

That being said we plug in the values into the formula

\(A=\frac{12*7}{2} \\12*7=84\\\frac{84}{2} =42\)

So we can conclude that the area of the base is 42 ft²

Now to find the volume

Using the formula V = ah

* plug in the values *

V = 42 * 8

42 * 8 = 336

Therefore the volume of the triangular prism is 336ft³

Answer:

sin(100°) = 0.985

sin(-100°) = -0.985

Step-by-step explanation:

In a unit circle, each point (x, y) on the circumference corresponds to the coordinates (cos θ, sin θ), where θ represents the angle formed between the positive x-axis and the line segment connecting the origin to the point (x, y).

Therefore, sin(100°) equals the y-coordinate of the point (-0.174, 0.985), so:

\(\boxed{\sin(100^{\circ}) = 0.985}\)

Similarly, sin(-100°) equals the y-coordinate of the point (-0.174, -0.985), so:

\(\boxed{\sin(-100^{\circ}) = -0.985}\)

In the unit circle the value of sin (100) = 0.985 and the value of sin (-100) = -0.985, in three decimal places.

The value of the sine of the angles is calculated by applying the following formula as follows;

The value of sin (100) is calculated as follows;

sin(100°) corresponds to the y-coordinate of the point (-0.174, 0.985) as given on the coordinates of the unit circle.

sin (100) = 0.985

The value of sin (-100) is calculated as follows;

sin(100°) corresponds to the y-coordinate of the point (-0.174, -0.985), as given on the coordinates of the circle.

sin (-100) = -0.985

Thus, in the unit circle the value of sin (100) = 0.985 and the value of sin (-100) = -0.985, in three decimal places.

Learn more about unit circle here: https://brainly.com/question/30403151

#SPJ1

Answer:

8(A.)

9(maybe D.)

(B.)

Step-by-step explanation:

Answer:

3 to 8

Step-by-step explanation:

There are 24 total shapes, 9 of which are circles. So we have the ratio 9 to 24, or 3 to 8.

Answer:

P=0.08d+41,250

Step-by-step explanation:

The total amount earned, p which is the sum of the base salary and the commision on sale can be expressed as ;

Given the Parameters :

The total pay after selling software worth $d can be expressed thus :

Base salary + (commission percentage × amount of sales)

Total pay = 41250 + (0.08 × d)

p = 41250 + 0.08d

Therefore, the total pay, p is expressed as 41250 + 0.08d

Learn more :https://brainly.com/question/18393133

The angle measures for this problem are given as follows:

The sum of the measures of the internal angles of a triangle is of 180º.

The triangle in this problem is ABC, hence the measure of a is obtained as follows:

a + 68 + 50 = 180

a = 180 - (68 + 50)

a = 62º.

c and d are corresponding angles to angle a, as they are on the same position relative to parallel lines, hence their measures are given as follows:

Angle b is a corresponding interior angle with angle a, hence they are supplementary and it's measure is given as follows:

a + b = 180

62 + b = 180

b = 118º.

More can be learned about angle measures at https://brainly.com/question/25716982

#SPJ1

The probability of an outcome not less than 8 is 1/8

from the question, we have the following parameters that can be used in our computation:

The spinner

Where we have

Sections = 3

Sections not less than 8 = 1

using the above as a guide, we have the following:

Probability of an outcome not less than 8 = 1/8

Hence, the probability of an outcome not less than 8 is 1/8

Read more abut probability at

https://brainly.com/question/31649379

#SPJ1

The probability of getting a number not less than 8 is 3/10 or 0.33.

If the spinner has numbers 1 through 10 evenly distributed, the probability of getting a number not less than 8 can be calculated as follows:

There are 10 possible outcomes (numbers 1 through 10 on the spinner).

Out of these 10 outcomes, there are 3 outcomes (8, 9, and 10) that are not less than 8.

Therefore, the probability of getting a number not less than 8 is 3/10 or 0.3.

Alternatively, it can be expressed as a fraction: 0.33

For such more question on probability

https://brainly.com/question/30390037

#SPJ8

Answer:

A=40.8 B=8

Step-by-step explanation:

A Explanation

£7.20*3=£21.6

£9.60*2=£19.2

19.2+21.6=40.8

B Explanation

£9.60*3=£28.8

86.40-28.8=57.6

57.6/7.20=8

Answer:

15.6

Step-by-step explanation:

30% of 52= 15.6

The unadjusted cost of goods sold for the year is calculated by subtracting the ending inventory from the sum of beginning inventory and purchases. The formula is as follows:

Unadjusted Cost of Goods Sold = Beginning Inventory + Purchases - Ending Inventory

Without knowing the values for beginning inventory, purchases, and ending inventory, we cannot compute the unadjusted cost of goods sold for the year.

5. Given that the $70,000 ending balance in Work in Process includes $24,000 of direct materials, we can calculate the missing information as follows:

Direct Labor = Total Work in Process - Direct Materials - Overhead
Direct Labor = $70,000 - $24,000 - Overhead

Without knowing the value for overhead, we cannot compute the direct labor cost. However, we can rearrange the formula to solve for overhead:

Overhead = Total Work in Process - Direct Materials - Direct Labor
Overhead = $70,000 - $24,000 - Direct Labor

Without knowing the value for direct labor, we cannot compute the overhead cost.

https://brainly.com/question/30198250

#SPJ1

Answer:

The number is four (4)

Step-by-step explanation:

look at the picture above, it explains everything

Answer: d.12

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Number 1

2a = 11.4

a = 11.4/2

a = 5.7

Number 2

b - 5 = 7.2

b= 7.2 + 5

b = 12.2

Number 3

3.4 + c = 10

c = 10 - 3.4

c = 6.6

Number 4

5.7 / d = 1.9

5.7 = 1.9d

d = 5.7/1.9

d = 3

Answer:

Step-by-step explanation:

Determine the two consecutive multiples of 10 that bracket 551

551 is between 550 and 560

555 is the midpoint between 550 and 560

As illustrated on the number line, 551 is less than the midpoint (555)

Therefore, 551 rounded to the nearest ten = 550

551 rounded to the nearest ten with a number line

Answer: 551.36

Step-by-step explanation:

“Of” means you have to multiply so multiply 133.5 and 413 and you will get 55,135.5 then you move the decimal point to the right 2 times and that will be 551.355, then since there is a five you change the other five to a 6 (5 or more raise the score 4 or less let it rest) and that will be 551.36.

In a direct variation, y=9 when x=3. A direct variation equation that shows the relationship between x and y is y=3x

What do you mean by direct variation?

Direct variation is a type of proportionality when one quantity changes right away in reaction to a change in another variable. This implies that if one number rises, the other will follow suit in a comparable manner. Similar to the last illustration, if one quantity decreases, the other quantity also decreases. Direct variation will have a linear relationship with the graph, resulting in a straight line.

Given,

In a direct variation, y=9 when x=3.

Formulate an equation based on the conditions stated: y=kx

We put the value of the y and x in this equation

9=k*3

Subtract the coefficient of the variable from both sides of the equation

k= 3

We can write the equation of the function by putting the value of k:  y=3x

Hence the correct answer is y=3x

To learn more about direct variation from the given link

https://brainly.com/question/2098610

#SPJ1

Answer:

Subtract 58-30 and add a 2:28. And Subtract 2:58-2:30

Step-by-step explanation:

Answer:-2,2.5,-7/3

Step-by-step explanation:

Answer:

The cost price was 500.

Step-by-step explanation:

Let x be the original price.

\(x\times(1+12\%)=560\)

\(x\times(1+0.12)=560\)

\(1.12x=560\)

\(1.12x/1.12=560/1.12\)

\(x=500\)

Answer:

Solution,

\(profit \: percent = 12 \\ selling \: price = 560 \\ cost \: price \\ = \frac{sp \times 100}{100 + profit \: percnt} \\ = \frac{560 \times 100}{100 + 12} \\ = \frac{56000}{112} \\ = 500\)

hope this helps...

Good luck on your assignment...

The common ratio of a geometric sequence will be;

⇒ r = 5 / 10

What is Geometric sequence?

An sequence has the ratio of every two successive terms is a constant, is called a Geometric sequence.

Given that;

In a geometric sequence,

The third term is 100 and the eighth term is 3.125.

Now,

We know that;

The nth term of geometric sequence is,

⇒ \(T_{n} = a r^{n - 1}\)

Hence, The third term is;

⇒ \(T_{3} = a r^{3 - 1} = 100\)

⇒ \(a r^{2} = 100\)   ..(i)

And, The eighth term is,

⇒ \(T_{8} = a r^{8 - 1} = 3.125\)

⇒ \(a r^{7} = 3.125\)   ..(ii)

Divide equation (ii) by (i), we get;

⇒ ar⁷ / ar² = 3.125/100

⇒ r⁷ / r² = 3125 / 100000

⇒ r⁷⁻² = 3125 / 100000

⇒ r⁵ = 3125 / 100000

⇒ r = 5/10

Thus, The common ratio of a geometric sequence will be;

⇒ r = 5 / 10

Learn more about the geometric sequence visit:

https://brainly.com/question/25461416

#SPJ1

Answer:

c

Step-by-step explanation:

it gotta be cheese fries fa sho

Answer:

The ANSWER is 18*3= 54

Step-by-step explanation:

total angle inside pentagon = 540 degrees so 3(8x)+2(3x)=540 and that is 30x=540

Answer:

C = 144

Step-by-step explanation:

A 5 sided figure has the interior angle sum of 540 degrees

8x+8x+8x+3x+3x = 540

Combine like terms

30x= 540

30x/30 = 540/30

x = 18

<C = 8*18 = 144

We have a total of seven 4-tuples that satisfy the given relation.The given relation is {(a,b,c,d) | a,b,c,d∈!+ , a+b+c+d = 6}. It can be understood as the set of 4-tuples (a, b, c, d) such that a, b, c, and d are positive integers and their sum is equal to 6.

Let's now list all the possible 4-tuples that satisfy the given relation. The possible combinations are as follows: (1, 1, 1, 3), (1, 1, 2, 2), (1, 2, 1, 2), (2, 1, 1, 2), (1, 2, 2, 1), (2, 1, 2, 1), and (2, 2, 1, 1).

Here's a brief explanation on how these 4-tuples were obtained. Let a, b, c, and d be positive integers such that a+b+c+d = 6. The least possible value that each variable can take is 1.

So, we start with a=1 and find all possible values of (b, c, d) that satisfy the given equation. Then, we move to a=2 and repeat the process. Finally, we list all the possible 4-tuples that we obtained.

Thus, we have a total of seven 4-tuples that satisfy the given relation.

For more question on integers

https://brainly.com/question/929808

#SPJ8

Answer:

x=30 degrees

Step-by-step explanation:

both triangles are congruent therefor x will be the same as angle BAD

The correct answer is Option D) x equals 9 plus or minus the Square root of 61, all over 2.

The exact solutions of the quadratic equation x^2 - 9x + 5 = 0 using the quadratic formula, we can use the following formula:

x = (-b ± √(b^2 - 4ac)) / (2a)

In this case, the coefficients of the equation are:

a = 1

b = -9

c = 5

Substituting these values into the quadratic formula:

x = (-(-9) ± √((-9)^2 - 4(1)(5))) / (2(1))

Simplifying:

x = (9 ± √(81 - 20)) / 2

x = (9 ± √61) / 2

Therefore, the exact solutions of the equation x^2 - 9x + 5 = 0 are:

x = (9 + √61) / 2   (Option D)

x = (9 - √61) / 2   (Option D)

So, the correct answer is Option D) x equals 9 plus or minus the square root of 61, all over 2.

To know more about Square root.

https://brainly.com/question/428672

#SPJ11

The equation of the line that passes through points (5, 8) and
(-2.2, -6.4) is y = 2x - 2.

Option D is the correct answer.

We have,

We can use the point-slope form of the equation of a line, which is:

y - y1 = m(x - x1)

where (x1, y1) is a point on the line and m is the slope of the line.

Slope.

m = (y2 - y1) / (x2 - x1)

= (-6.4 - 8) / (-2.2 - 5)

= (-14.4) / (-7.2)

= 2

Next, we can use one of the two given points and the slope to write the equation of the line in the point-slope form:

y - 8 = 2(x - 5)

Expanding the right side and simplifying.

y - 8 = 2x - 10

y = 2x - 2

Therefore,

The equation of the line that passes through points (5, 8) and
(-2.2, -6.4) is y = 2x - 2.

Learn more about the equation of a line here:

https://brainly.com/question/23087740

#SPJ1

Answer:

How many hours?

Step-by-step explanation:

the answer to this is 2x

X is the number of hours and you multipy it by 2 wood