solve for f.
85+ f/8=91

Answer:

The number of times it would take more than 27 minutes to manufacture a pair of running shoes is 2.275 times or approximately 2 times per every 100 shoes

Step-by-step explanation:

The average time it takes to manufacture a pair of shoes = 21 minutes;

The standard deviation = 3 minutes

To find how often it takes more than 27 minutes to manufacture a pair of running shoes, we have;

Standard score, given as follows;

\(Z=\dfrac{x-\mu }{\sigma }\)

Where;

x = The raw score = 27 minutes

μ = The average score = 21 minutes

σ = The standard deviation = 3 minutes

From which we have;

\(Z=\dfrac{27-21 }{3 } = 2\)

Therefore, it is borderline unusual with a p value of P(z>2) = 1 - 0.97725 = 0.02275

Therefore, the number of times out of 100 that it would take more than 27 minutes to manufacture a pair of running shoes = 100 × 0.02275 = 2.275 times which is approximately 2 times in every 100 shoes.

Answer:

-3 1/8

Step-by-step explanation:

This can be done by setting up the following equation. (I'm going to convert 1/4 to .25 to make things easier)

-1.25/1 = x/2.5

x = -3.125 or -3 1/8

A researcher generates a random sample of 50 college students from a nearby university using a random number generator. The researcher is utilizing a sample survey.

What is a sample survey?

A sample survey is a process that helps researchers to study a small part of a large population to generalize and make predictions about the entire population. It involves the selection of a smaller group of individuals from a larger population of interest, and the results obtained from this selected group are then used to draw inferences or generalizations about the population.

For instance, in this case, the researcher is only interested in 50 college students, but it would be impractical to study the entire student body at the university. Therefore, the researcher utilized a sample survey to select a random sample of 50 college students from a nearby university using a random number generator.

The sample survey method is generally considered more cost-effective and practical than other research methods such as a census, which involves studying an entire population.

Therefore, in conclusion, the researcher is utilizing a sample survey.

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The name of the segment inside the large triangle is called the: 3. angle bisector.

The word "bisect" means to divide into two equal halves. Therefore, an angle bisector can be defined as a line segment that divides the an angle in a triangle into two parts that are of the same angle measure.

The image shows a triangle which has a segment that divides a vertex angle into equal parts. Thus, the segment can be named as an angle bisector.

A perpendicular bisector divides a segment into two equal halves at right angle, while a midsegment joins the middle points of two sides of a triangle. The median also, is a segment that joins a vertex of a triangle to the midpoint of the side that is opposite the angle.

Therefore, we can state that the name of the segment is: 3. angle bisector.

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So, the probability of ending up with a three-digit number that is divisible by 4 is 1/24.

To find the probability of ending up with a three-digit number that is divisible by 4 when spinning the spinner three times, we need to consider the possible outcomes that satisfy this condition and divide it by the total number of possible outcomes. Let's analyze the given spinner and its possible outcomes:

Spinner: [1, 2, 3, 4, 5, 6]

To form a three-digit number, the hundreds digit will be determined by the first spin, the tens digit by the second spin, and the units digit by the third spin. A number is divisible by 4 if the last two digits (tens and units digits together) form a number divisible by 4. Therefore, we need to find the number of possible outcomes for the tens and units digits that satisfy this condition.

Possible outcomes for the tens digit: [2, 4, 6]

Possible outcomes for the units digit: [2, 4, 6]

Combining the possible outcomes for the tens and units digits, we have a total of 9 (3 possibilities for the tens digit multiplied by 3 possibilities for the units digit) favorable outcomes. The total number of possible outcomes for each spin is 6 (since there are 6 numbers on the spinner). Since we are spinning the spinner three times independently, the total number of possible outcomes for spinning it three times is 6^3 = 216. Therefore, the probability of ending up with a three-digit number divisible by 4 is:

Probability = favorable outcomes / total outcomes

Probability = 9 / 216

Probability = 1 / 24

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Answer:

2/h

Explanation:

Given that a tank can be filled in h hours, to determine what part of the tank can be filled in 2 hours, all we need to is divide 2 by h.

Therefore, 2/h part of the tank will be filled in 2 hours.

Answer:

that equals to 27 have a good day :)

Answer:

27

Step-by-step explanation:

To make it easier you can make 1 4/5 into a decimal by dividing 4 into 5 (.8) then adding 1 (1.8)

Then all you have to do is multiply 1.8 by 15 which is 27!

I hope this helps, and have a great day! :D

See attachment for math work and answer.

The given statement in the form of inequality can be written as,\(-7 \dfrac{2}{3} \leq m \leq -10\)

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

It is given that,

A number m is more than -7(2/3) or at most -10

From the given data it is observed that the value of the number lies between -7(2/3) and -10.\

The given data can be written in the terms of inequality as,

\(-7 \dfrac{2}{3} \leq m \leq -10\)

Thus, the given statement in the form of inequality can be written as,\(-7 \dfrac{2}{3} \leq m \leq -10\)

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Answer: Look at the explanation

Step-by-step explanation: To understand what figures are congruent and what figures are similar, you need to understand what the terms mean.

Congruent figures have the same shape and size.

Similar figures have the same shape but different size.

The 1st figure is not congruent but it is similar.

2nd figure is congruent and similar which are rectangles. Wheather the figure is rotated or reflected, it is still congruent and similar.

3rd figure is both, congruent and similar which are both triangles.

4th figure is neither. There is a circle and an elipse, which are both round but different shapes.

By knowing the terms congruent and similar, you should have no problem in identifying geometric shapes and sizes.

Hope this helps. Happy learning!

The means of Robin and Evelyn's scores are 107 and 138, respectively. To compare the means, we can observe that Robin's mean of 107 is less than Evelyn's mean of 138.

In the context of the data, this indicates that Robin's scores are, on average, closer to the center compared to Evelyn's scores. A lower mean implies that Robin's scores are generally closer to the target's center than Evelyn's scores.

Therefore, based on the mean comparison, Robin is winning the game. This is because their scores have, on average, a smaller distance from the center compared to Evelyn's scores.

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Answer:

What grade are you in by the way? You have to be younger that middle school age to do this. My younger sister has this work a while ago

Step-by-step explanation:

If triangle ABC is congruent to triangle DEF, then all four statements must be true about the triangles: AB=EF, AB=DE, ∠A=∠E, and ∠B=∠D.

When two triangles are congruent, it means that they have the same size and shape. To show that triangle ABC is congruent to triangle DEF, we need to show that all corresponding sides and angles are equal.

The statement AB=EF means that the lengths of side AB and EF are equal. Similarly, the statement AB=DE means that the lengths of side AB and DE are equal.

The statement ∠A=∠E means that angle A in triangle ABC is equal to angle E in triangle DEF. Similarly, the statement ∠B=∠D means that angle B in triangle ABC is equal to angle D in triangle DEF.

By the Congruence of Triangles axiom (SSS), if two triangles have three sides of equal length, then they are congruent. Therefore, since AB=EF, AB=DE, and ∠A=∠E, we can conclude that triangle ABC is congruent to triangle DEF.

Furthermore, since ∠B=∠D, we can conclude that all four statements (AB=EF, AB=DE, ∠A=∠E, and ∠B=∠D) must be true in this case.

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The transformation that would produce an image with vertices B"(-2, 1), C"(3, 2), D"(0, -1) from the original vertices B(-3,0), C(2, -1), D(-1, 2) is the transformation (x,y) → (X + 1, y + 1).

By applying the transformation (x,y) → (X + 1, y + 1), each point's x-coordinate is shifted one unit to the right (X = x + 1), and each point's y-coordinate is shifted one unit upward (Y = y + 1). This results in the image with the given coordinates B"(-2, 1), C"(3, 2), D"(0, -1).

The other transformations listed do not match the given image coordinates and would not produce the desired result.

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Answer:

(x, y) → (x, −y) → (x + 1, y + 1)

Step-by-step explanation:

Reflect the vertices over the x-axis by applying the transformation (x, y) → (x, -y):

B'(-3, 0) → B'(-3, 0)

C(2, -1) → C(2, 1)

D(-1, 2) → D(-1, -2)

Translate the reflected vertices by (1, 1):

B'(-3, 0) → B″(-3 + 1, 0 + 1) → B″(-2, 1)

C(2, 1) → C″(2 + 1, 1 + 1) → C″(3, 2)

D(-1, -2) → D″(-1 + 1, -2 + 1) → D″(0, -1)

So, the correct sequence of transformations is:

(x, y) → (x, -y) → (x + 1, y + 1)

(Image provided for more proof)

Answer:

47/73

Step-by-step explanation:

There are 73 people who like tea. 47 are women, 26 are men. This means that the probabili that the person chosen is a women is 47 out of the 73.

The width of the frame is 2.4 inches

Let w represent the width of the frame

Then the area of the frame is:

(w + 5)(w + 7) = 69.56

Rewrite it in Standard form of a quadratic equation:

w² + 12w + 35 = 69.56

w² + 12w - 34.56 = 0

Use Quadratic Formula to solve for w:

w =  (-b±√(b²-4ac))/(2a)

w =  (-12±√(12²-4×1×(- 34.56)))/(2×1)

w = (-12±√(144+138.24))/(2)

w = (-12±16.8)/2

w = -6 ± 8.4

w = -6 + 8.4 or -6-8.4

w = 2.4 or w = -14.4

Since the width cannot be negative.

Thus, w = 2.4 inches

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Original Equation:

\(\frac{3}{4} + x < \frac{1}{6}\)

1) Subtract 3/4 from both sides:

\((\frac{3}{4}+x)-\frac{3}{4} < \frac{1}{6}-\frac{3}{4}\)

2) Simplify:

\(x < \frac{1}{6}-\frac{3}{4}\)

Find a common denominator for both fractions (I will use 12)

\(x < \frac{2}{12} -\frac{9}{12}\)

Simplify:

\(x < \frac{-7}{12}\)

We cannot simplify the expression anymore, therefore this is the answer!

Answer:

12 boxes per hour

Step-by-step explanation:

22 boxes in 1 5/6 hours

22 /11/6

22 *6/11=12

Hope this helps plz hit the crown :D

Answer:

x < 3/14

Step-by-step explanation:

-14x > -3

divide each side by -14

however, whenever multiplying or dividing an inequality by a negative value then you must reverse the inequality symbol

x < 3/14

Answer:

divide by -14:

\(x<3/14\)

when you divide by a negative the sign flips

Answer:

9

Step-by-step explanation:

9 × 9 = 81

81 + 40 = 121

121 is the amount of money you want so you just have to mow 9 lawns to get your exact amount of money you need.

Answer:

\(x=-14\)

Step-by-step explanation:

\(\frac{x+7-8x}{3}=-\frac{5x}{2}\\\mathrm{Apply\:fraction\:cross\:multiply:\:if\:}\frac{a}{b}=\frac{c}{d}\mathrm{\:then\:}a\cdot \:d=b\cdot \:c\\\left(x+7-8x\right)\cdot \:2=-3\cdot \:5x\\Simplify\\2\left(-7x+7\right)=-15x\\\mathrm{Expand\:}2\left(-7x+7\right):\quad -14x+14\\2\left(-7x+7\right)\\\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac\\a=2,\:b=-7x,\:c=7\\=2\left(-7x\right)+2\cdot \:7\\\mathrm{Apply\:minus-plus\:rules}\\+\left(-a\right)=-a\\=-2\cdot \:7x+2\cdot \:7\)

\(\mathrm{Multiply\:the\:numbers:}\:2\cdot \:7=14\\=-14x+14\\-14x+14=-15x\\\mathrm{Subtract\:}14\mathrm{\:from\:both\:sides}\\-14x+14-14=-15x-14\\\mathrm{Simplify}\\-14x=-15x-14\\\mathrm{Add\:}15x\mathrm{\:to\:both\:sides}\\-14x+15x=-15x-14+15x\\\mathrm{Simplify}\\x=-14\)

Answer:

12

Step-by-step explanation:

9^2 + b^2 = 15^2

=

81 + b^2 = 225

=

b^2 = \(\sqrt{144}\)

b = 12

Hope this helps :)

Comment of you need mroe help!!

Mandy's actual direct labor rate per hour (AP), rounded to two decimal places, is approximately $42.00.

To find Mandy Company's actual direct labor rate per hour (AP), we need to use the given information and apply the formula for direct labor efficiency variance:

Direct Labor Efficiency Variance = (AQ - SQ) × AP

We are given the following information:

Standard direct labor hours allowed for units produced (SQ) = 3,800

Actual direct labor hours worked (AQ) = 3,650

Direct labor efficiency variance, favorable (F) = $6,300

We can rearrange the formula to solve for AP:

AP = Direct Labor Efficiency Variance / (AQ - SQ)

Substituting the values:

AP = $6,300 / (3,650 - 3,800)

AP = $6,300 / (-150)

AP ≈ -$42 per hour

However, a negative value of direct labor rate variance is called favorable direct labor rate variance, which is the result of the actual rate being less than the standard rate.

Therefore, Mandy's actual direct labor rate per hour (AP), rounded to two decimal places, is approximately $42.00.

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Complete question =

Mandy Company has the following information from last month:

Standard direct labor hours allowed for units produced (SQ) 3,800

Actual direct labor hours worked (AQ) 3,650

Direct labor efficiency variance, favorable (F) $ 6300

Total payroll $ 190530

What was Mandy's actual direct labor rate per hour (AP), rounded to two decimal places?

Step-by-step explanation:

f(x) = x² - 4

y = x²-4

x = y²-4

x + 4 = y²

\(y = \sqrt{x + 4} \)

The value of c that satisfies the conclusion of the Mean Value Theorem (MVT) for the function f(x) = 3 ln x on the interval [1, e²] is c = 2(e² - 1) / 3.

According to the Mean Value Theorem (MVT), if a function f is continuous on the interval [a, b] and differentiable on the open interval (a, b), then there exists at least one number c in the open interval (a, b) such that

f'(c) = [f(b) - f(a)] / (b - a)

The first step is to evaluate f(a) and f(b) for the given function f(x) = 3 ln x on the interval [1, e²].f(a) = f(1)

= 3 ln 1

= 0f(b)

= f(e²)

= 3 ln e²

= 6

Now we differentiate the function f(x) = 3 ln x to find f'(x)f(x) = 3 ln xf'(x) = (3/x)

The Mean Value Theorem (MVT) states that there exists a number c in the interval (a, b) such that

f'(c) = [f(b) - f(a)] / (b - a)

We have found the values of f(a), f(b), and f'(x) which are:f(a) = 0f(b) = 6f'(x) = (3/x)

Since the interval is [1, e²], we have

a = 1b = e²

Now, we can substitute these values in the Mean Value Theorem (MVT)

f'(c) = [f(b) - f(a)] / (b - a)(3/c) = [6 - 0] / (e² - 1) (Simplifying)

f'(c) = 3c = 2(e² - 1) (Multiplying both sides by e² - 1)c = 2(e² - 1) / 3

The value of c that satisfies the conclusion of the Mean Value Theorem (MVT) for the function f(x) = 3 ln x on the interval [1, e²] is c = 2(e² - 1) / 3.

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Answer:

The z-Table gives the area under the standard normal curve to the left of z. What does the t-Table give? The t-Table gives the area under the t-curve with n degrees of freedom to the left of it

HOPE THIS HELPSSS!

Based on the information in the graph, it can be inferred that the total cost would be: 233.521, mark up: 116.75, and selling price: 350.271.

To calculate the total cost we must multiply the unit price of each product by the number of units we need. Once we get this result, we add everything to find the total cost.

To calculate the mark up we must divide the total cost of each ingredient in two. Once we have these results, we add everything to find the mark up.

To calculate the selling price we must add the mark up and the total cost of each ingredient. Additionally, to find the total selling price of all the products we must add all the values.

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