missing variable -3 x + 9 = -18

The paired t-test can be used to determine if there is a significant difference in the mean speeds of the two microprocessors. We calculate the t-statistic and find the corresponding 95% confidence interval for the difference in mean speeds.

The differences in speed for each code are as follows: 4.4, -2.7, 7.5, -0.3, -3.2, 7.9. The mean difference is 2.67 seconds, and the standard deviation of the differences is 4.76 seconds. Using the t-distribution with n-1 degrees of freedom (where n is the number of pairs), we can calculate the t-statistic for a two-tailed test at the 0.05 level of significance. The t-statistic is 1.76, which corresponds to a 95% confidence interval for the difference in mean speeds of (-1.47, 6.81) seconds.

Therefore, we can be 95% confident that the true difference in mean speeds between the two processors falls within the range of -1.47 to 6.81 seconds. This means that we cannot reject the null hypothesis that there is no significant difference in mean speeds between the two processors at the 0.05 level of significance. However, it is important to note that the sample size is small and the assumption of normality may not hold, so the results should be interpreted with caution.

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Answer:

-4

Step-by-step explanation:

Answer:

4i

Step-by-step explanation:

Nick invested $47250 and Matt also contributed $78750, and Matt owns 62.5% of the company when invested in the ratio 3: 5 .

a)Each initial stage involves calculating the overall amount invested.

Ratio of investment =3 :5

components total = 3x + 5x

Eight sections total.

The cost per part is determined in the subsequent step (x)

Parts cost (x) = 126,000/8

Parts cost (x) = 15750

The third stage is to determine how much Nick and Matt invested.

Nick's investment yield is 3x

Nick's investment: 3 x 15750 = 47250

Nick invested $47250 in total.

Matt invested 5 times as much.

Matt invested 5 x 15750=78750.

$78750 was invested by Matt.

b. Owned wholly by Matt

Using this equation

Percentage that Matt owns equals "part owned by Matt/total part"

Let's enter the formula.

percentage held by Matt is equal to 5x/(3x+5x).

Matt owns 5x/8x of the shares.

Owned by Matt to the tune of 62.5%

Therefore Nick and Matt each invested $47250; Matt also contributed $78750, and Matt owns 62.5% of the company.

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The system of linear equation which can be used to find the number of nickles n, and quarters q Anatoily has are n + q = 104  and 1/20(104 - q) + (1/4)q = 22there are total 20 nickels and 84 quarters Anatoily has.

According to the given question.

Total number of nickles and quarters Anatoily have is 104.

'n' represents the total numbers of nickles and 'q' represents total number of quarters. So, the linear equation which represents the given condition

⇒ n + q = 104

Since, 20nickles = 1 dollar

⇒ 1 nickle = 1/20 dollar

And, 4 quarters = 1 dollar

⇒ 1quarter = 1/4 dollar

Here, it is also given that combination of 104 nickels and quarters totaling $22.

So, we have an other linear equation $(1/20)n + $(1/4)q = $22

Form

n + q = 104

We can write

n = 104 - q

Substitute the value of n in $(1/20)n + $(1/4)q = $22

Therefore,

$1/20(104 - q) + $(1/4)q = $22

⇒ 5.2 - q/20 + q/4 = 22

⇒ 5.2 +  (-q + 5q)/20 = 22

⇒ 5.2 + 4q/20 = 22

⇒ 5.2 + q/5 = 22

⇒ q/5 = 22 - 5.2

⇒ q/5 = 16.8

⇒ q = 16.8 × 5

⇒ q = 84

Therefore,

n = 104 - 84

⇒ n = 20

Hence,  the system of linear equation which can be used to find the number of nickles n, and quarters q Anatoily has are n + q = 104  and 1/20(104 - q) + (1/4)q = 22there are total 20 nickels and 84 quarters Anatoily has.

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Answer:

1/5 is the fraction of 20%.

Answer:

\(\frac{1}{5}\)

Step-by-step explanation:

→ Put the percentage over 100, then simplify

To cover 410 sq ft kitchen and 130 sq ft bathroom walls, 6 quarts of enamel paint are needed as each quart covers 90 sq ft and a total of 540 sq ft needs to be covered.

If three quarts of enamel paint will cover about 270 square feet of wall surface, then one quart will cover about 270/3 = 90 square feet of wall surface.

To cover 410 square feet of kitchen wall and 130 square feet of bathroom wall, a total of 410 + 130 = 540 square feet of wall surface needs to be covered.

Therefore, to cover 540 square feet of wall surface, 540/90 = 6 quarts of enamel paint are needed.

we are trying to determine how many quarts of enamel paint are needed to cover a certain area of wall surface. The given information is that three quarts of enamel paint will cover about 270 square feet of wall surface. This means that one quart of enamel paint covers approximately 90 square feet of wall surface (270/3).

We are also told that there are 410 square feet of kitchen wall and 130 square feet of bathroom wall that need to be covered, so a total of 540 square feet of wall surface (410 + 130) needs to be painted.

To find the number of quarts of enamel paint needed, we divide the total square footage of wall surface to be covered by the square footage that can be covered by one quart of paint: 540 square feet ÷ 90 square feet per quart = 6 quarts.

So, to cover the 410 square feet of kitchen wall and 130 square feet of bathroom wall, 6 quarts of enamel paint would be needed.

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Answer:

Surface Area would be 200² inches.

Step-by-step explanation:

SA=2(12*9)+2(9*2)+2(12*2)

SA=2(108)+2(18)+2(24)

SA=216+36+48

SA=200² in.

Answer:

i believe it would be (10,4)

Step-by-step explanation:

i did this by finding the rise and run from point C and point M. Then, i repeated it in the opposite direction to get point B.

I did this on a graph by the way so I don't know if it really makes any sense since you are not dealing with a graph, but it should still be right.

Answer:

Step-by-step explanation:

-d - 4 = -8

-d = -4

d = 4

Answer:

d= 4

Step-by-step explanation:

4d - 4 = 5d – 8

Subtract 4d from each side

4d-4d - 4 = 5d-4d – 8

-4 = d-8

Add 8 to each side

-4+8 = d-8+8

4 =d

Answer:

∠A is 55°

∠B is 125°

∠C is 55°

∠D is 125°

Step-by-step explanation:

The two acute angles in a parallelogram are equal, and the two obtuse angles are equal too. The angles in all quadrilaterals add to 360°. Since You're given one of the obtuse angles, multiply that number by 2 (125 × 2 = 250) , then subtract that from 360 (360 - 250 = 110) for the value of BOTH acute angles. Divide that by 2 for each individual acute angle (110/2 = 55)

Answer:

A.55

b.125

c.55

d.125

Step-by-step explanation:

thank you

Answer:

Ok the scale factor is the ratio of 1:2, but what are the two lengths? A and B? I need more information, like what numbers are A and B.

Step-by-step explanation:

An equation that matches the table include the following: y = x + 5.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (6 - 5)/(1 - 0)

Slope (m) = 1/1

Slope (m) = 1.

At data point (0, 5) and a slope of 1/, a linear equation in slope-intercept form for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 5 = 1(x - 0)

y - 5 = x

y = x + 5

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Answer:

The amount in the account after 11 years is $134,963.29

Step-by-step explanation:

Here, we want to determine the amount in the account after 11 years

What we have to do here is to substitute P for the amount invested which is $73,700

r is the rate given as 5.5% = 5.5/100 = 0.055

t is the time given as 12 years

substituting these values, we have;

V = 73,700 * e^(12* 0.055)

V = $134,963.29

Answer: 10%

Step-by-step explanation:

The following information can be gotten from the question regarding the number of people that went to the swimming pool are:

First week of July = 1020

Second week = 1020 - 100 = 920

Third week = 920 + 130 = 1050

Fourth week = 1050 - 132 = 918

The percentage decrease over the four weeks will be:

= (1020 - 918)/1020 × 100

= 102/1020 × 100

= 10%

We need to know about linear equation to solve the problem. The number of bottles of juice he purchased for the team is 4.

Linear equation is an equation where there is only one independent variable. In the given question we know that the total amount spent is $41 and we know the various relations between the different drinks that were bought. Let us consider the number of bottles of juice to be x.It is said that the number of Gatorade bottles is twice as many juice bottles so we can say number of Gatorade bottles is 2x. It is said that the number of water bottles is two more than number of juice bottles so we can say x+2. We also know the cost of the bottles purchased.

2x x 3+(x+2)x1.50+2x=41

6x+1.5x+3+2x=41

9.5x+3=41

9.5x=38

x=4

Therefore the number of juice bottles purchased is 4.

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The length of the bridge is 12.12 feet.

The length the dog swam is 32.36 feet.

The situation forms a right angle triangle.

A right angle triangle has one of its angles as 90 degrees. Therefore, the sides and angle can be found using trigonometric ratios.

The length of the bridge is the opposite side of the triangle and the length the dog swim is the hypotenuse side of the triangle.

Therefore,

Let's find the length of the bridge as follows:

tan 68° = opposite / adjacent

tan 68° = 30 / l

cross multiply

l = 30 / tan 68

l = 12.1212121212

length of the bridge = 12.12 ft

The length the dog swim is as follows:

sin 68°= opposite / hypotenuse

sin 68° = 30 / h

h = 30 / sin 68

h = 32.3561767942

The distance the dog swimmed = 32.36 ft

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Answer:

first one is -16

second is -4

I'm what the third is

Answer:

25% off

Step-by-step explanation:

First, find 90/120, which is 0.75. Now, since the phone is not 75% off, you just find 100-75, which gives you 25%.

1745 packages of tennis balls can be made from 5235 balls.

Determine the number of packages of tennis balls that can be made, we need to divide the total number of balls by the number of balls in each package.

5235 tennis balls and each package contain 3 balls.

Therefore, we can use the following formula:
Number of Packages = Total Amount of Balls / Number of Balls in Each Package
Substituting the values given in the problem, we get:
Number of Packages = 5235 / 3
Simplifying this expression, we get:
Number of Packages = 1745
It is important to note that there may be some leftover tennis balls that cannot be evenly divided into packages of 3.

Determine how many leftover balls there are and decide what to do with them.

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The probability of there being at least one wrongly dialed call in the next month, given that there have been no wrongly dialed calls in the last 2 months, is 0.

If there have been no wrongly dialed calls in the last 2 months, we can assume that the probability of a wrongly dialed call is 0. However, we are now asked to find the probability of at least one wrongly dialed call in the next month.
To solve this problem, we can use the concept of complement probability. The complement probability of an event A is equal to 1 minus the probability of event A occurring.
In this case, the complement event is the event of having no wrongly dialed calls in the next month. We can calculate this probability by assuming that the probability of a wrongly dialed call is still 0, and therefore the probability of no wrongly dialed calls is 1.
Now, the probability of at least one wrongly dialed call in the next month is equal to 1 minus the probability of no wrongly dialed calls. So, we have:
Probability of at least one wrongly dialed call = 1 - Probability of no wrongly dialed calls
Probability of at least one wrongly dialed call = 1 - 1
Probability of at least one wrongly dialed call = 0

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Answer:

1

Explanation and Check part below

Explanation and Check part belowHope this helps :)

Step-by-step explanation:

2 - 1 = 1

Check:

1 + 1 = 2

2 = 2

True statement.

The mean absolute percent error (MAPE) is 25%.

The mean absolute percent error (MAPE) is a measure of forecasting accuracy that quantifies the average deviation between predicted and actual values as a percentage of the actual values. In this case, the mean absolute deviation (MAD) is given as 25 units for the past 10 periods, and the total demand is 1,000 units.

To calculate the MAPE, we need to divide the MAD by the total demand and multiply by 100 to express it as a percentage. In this scenario, the MAPE is calculated as follows:

MAPE = (MAD / Total Demand) * 100

     = (25 / 1,000) * 100

     = 2.5%

Therefore, the MAPE is 2.5%, which means that, on average, the forecasts have a 2.5% deviation from the actual demand.

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Our final answer will be \(a^{2}\) - \(b^{2}\) using the FOIL method.

What is the FOIL method?

Binomials are multiplied using the FOIL Method. F O I L is an acronym. First, Outside, Inside, and Last are the letters that stand for the order of multiplying terms. To get your answer, multiply the first term, then the outside term, then the inside term, then the last term, and then combine terms that are similar.

In our question, the binomial equation is given (a+b)(a-b), using the FOIL method:

Multiply the first terms: a*a = \(a^{2}\).

Multiply outside terms: a*(-b) = -ab.

Multiply Inside terms: b*a = ab.

Multiply Last term: b*(-b) = -\(b^{2}\)

Now by combining all the terms we will get = \(a^{2}\) - ab + ab- \(b^{2}\)

On solving this we finally get a2-b2. That’s our answer.

Therefore using the FOIL method to solve this binomial equation we will get \(a^{2}\) - \(b^{2}\).

Talking about the shortcut to solving this equation without using the FOIL method is = (a+b)(a-b) = \(a^{2}\) - \(b^{2}\).

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Answer:

\(3x^2\)

Step-by-step explanation:

\(12x^4-6x^2+9x^2\)

Let's break down these terms into three parts; our number, our base (variable), and our power (exponent).

First, let's think of a number that could be factored out of the numbers 12, 6, and 9. If you're thinking of the number 3, you'd be correct.

Second, look at the bases. We can see that the variables in these terms are all \(x\), so we can combine that with our number 3.

Third, look at the powers. We can see that the exponent of 2 can be factored out, so let's combine that with our 3x:

\(3x^2\)

To put that in perspective:

\(3x^2(4x^2-2+3)\)

_

To check your work, you can distribute the greatest common factor into the parentheses:

\(3x^2(4x^2-2+3)\)

\(12x^4-6x^2+9x^2\)

Answer:

A. 6 to the Second Power.

Step-by-step explanation:

Hope it Helped!