Solve that and 10 points given

Answer:

3. 200ft
4. 21ft
5. 37.5m
6. 4.2ft

Step-by-step explanation:

3. use proportions:
\(\frac{h}{50} = \frac{50}{12.5}\)
50(50) = 12.5h
h = 200ft

4.
\(\frac{h}{6} =\frac{7}{2}\)
6(7) = 2h
h = 21ft

5.
\(\frac{25}{8} =\frac{x}{12}\)
25(12) = 8x
x = 37.5m

6.
\(\frac{9}{15} =\frac{h}{7}\)
9(7) = 15h
h = 4.2ft

Chance that a student passes the test out of 400 students is 5%.

Binomial distribution is the distribution of a random variable X for which there are only two possibilities. The probability p for the success and the probability of 1-p for the failure, which consist of n trials.

Probability that a student will pass the test = 10% = 0.1

Probability that a student fails = 1 - 0.1 = 0.9

We have to find P(X≥50), where X  is binomial distribution where n=400 and p=0.1

We can find P(A ≥ 49.5) using the normal approximation where Y is normal and by continuity correction, we can say that,

Mean = 40

Variance = 36

This is equal to,

P(Z > 49.5−40 / √36) = P( Z > 1.6)

where Z

is the standard normal distribution.

This probability is approximately 5%.

Hence the probability is 5%.

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(D)  \(g(x)=(x-4)^{2}\)

Therefore, the correct equation for the blue graph is \(g(x)=(x-4)^{2}\).

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1. The given statement "A negative attitude, misperception, and partial hearing loss are all examples of noise in the basic communication process" is True

2. The given statement "Employee motivation and pay satisfaction are major components in Frederick Herzberg's two-factor theory" is True

1) Negative attitude, misperception, and partial hearing loss are all examples of noise in the basic communication process.

Noise refers to any external or internal element that disrupts communication. Communication is the exchange of messages between two or more people, so noise in communication refers to anything that interferes with the exchange of messages.

2)Employee motivation and pay satisfaction are major components in Frederick Herzberg's two-factor theory.

Herzberg's two-factor theory, also known as the motivation-hygiene theory, identifies the two types of factors that affect job satisfaction:

hygiene factors and motivating factors.

Employee motivation and pay satisfaction are examples of motivating factors that contribute to job satisfaction.

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Answer:

hi

Step-by-step explanation:

(C)

Given data:

The given inequalities.

The graph of the given inequalities is shown below.

Answer: x=3-4y

                 _____

                   5

Step-by-step explanation:

This means that any value of 'h' that is greater than or equal to 3.5 would make the inequality true.

The inequality -4h <= -14 represents a mathematical statement that involves a variable, 'h,' and a comparison between two values.

Let's break down what this inequality means:

The symbol '<=' indicates "less than or equal to," implies that the left side of the inequality should be less than or equal to the right side.

The left side of the inequality is -4h, which means -4 multiplied by the variable 'h.'

The right side of the inequality is -14, a constant value.

The inequality states that whatever value 'h' represents, when multiplied by -4, should be less than or equal to -14.

To solve the inequality, we need to isolate the variable 'h' on one side of the inequality sign.

Let's proceed with the steps:

Start with the given inequality: -4h <= -14.

Divide both sides of the inequality by -4.

Remember that when you divide or multiply both sides of an inequality by a negative number, you need to flip the inequality sign.

(-4h)/-4 >= (-14)/-4.

Simplifying, we have h >= 14/4 or h >= 3.5.

The solution to the inequality -4h <= -14 is h >= 3.5.

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Answer:

Step-by-step explanation:

The given two points have same x- coordinates, hence the line vertical and is parallel to the y-axis:

Its slope is undefined.

\(\\ \sf\longmapsto m=\dfrac{y_2-y_1}{x_2-x_1}\)

\(\\ \sf\longmapsto m=\dfrac{-5-4}{9-9}\)

\(\\ \sf\longmapsto m=\dfrac{-9}{0}\)

\(\\ \sf\longmapsto m=\infty\)

The decision to reject or not reject the null hypothesis depends on the specific research question and the level of confidence chosen by the researcher.

If the null hypothesis is not rejected at a 95% confidence level, it may or may not be rejected at a 99% confidence level. The decision to reject or not reject the null hypothesis depends on the level of significance chosen by the researcher. A higher level of significance, such as 99%, requires stronger evidence against the null hypothesis for it to be rejected compared to a lower level of significance, such as 95%.        

Therefore, the decision to reject or not reject the null hypothesis depends on the specific research question and the level of confidence chosen by the researcher.

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Answer:

1st blank or 2nd

Step-by-step explanation:

Answer: b represents the variable and 42 represents the coefficent.

Step-by-step explanation:

The required  the  parts of the park expression 42b represent

the total price of the bolga basket , b represents the number of bolga basket and 42 represents the cost of each bolga basket.

A statement is a declarative sentence that is either true or false but not both. A statement is sometimes called a proposition. The key is that there must be no ambiguity. To be a statement, a sentence must be true or false, and it cannot be both.

Given:

Bolga baskets= $42

The expression 42b represents the total price buying b baskets.

According to given question we have

The given statement is

Let the number of bolga basket be b

So, the total price of the bolga basket =42b

The cost of each bolga basket is  $42

Therefore, the required  the  parts of the park expression 42b represent

the total price of the bolga basket , b represents the number of bolga basket and 42 represents the cost of each bolga basket.

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The variance for this population is 5.Hence, the correct option is 5.

Given that, the sum of the squared deviation scores is ss = 20 for a population of n = 5 scores. Now we have to find the variance for this population.

Variances can be found using the formula: variance = s^2 = SS / (n - 1)Here, SS = 20n = 5 We have to substitute the given values into the variance formula, which gives us: s^2 = 20 / (5 - 1)s^2 = 20 / 4s^2 = 5.

So, the variance for this population is 5. Hence, the correct option is 5.

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Answer:

0.64

Step-by-step explanation:

4 out of 5 free throws is 0.8 as a decimal.

The probability that Brian will make 2 free throws is 0.8 for the first one, and then 0.8 of that for the second one. That means you multiply the two to get your answer and 0.8 times 0.8 = 0.64.

Answer:

To find if the difference is statistically significant, we'll find the p-value and compare it to the significance level. If it's smaller, then it's significant.

On a graphing calculator, I conducted a 2-Proportion Z-test. It resulted in zTest_2Prop 643,1046,804,1315,0: stat.results and the p-value is shown as around 0.869485.

Since 0.869 > 0.05, the difference in the sample proportions is not statistically significant.

Answer:

cos37= 9.4/BC,cos37=0.8

BC= 9.4/0.8

bc = 11.75

Answer:

BC ≈ 32.2

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos73° = \(\frac{adjacent}{hypotenuse}\) = \(\frac{AB}{BC}\) = \(\frac{9.4}{BC}\) ( multiply both sides by BC )

BC × cos73° = 9.4 ( divide both sides by cos73° )

BC = \(\frac{9.4}{cos73}\) ≈ 32.2 ( to 3 sf )

The exponential function is y = 650(1.0475)ˣ

A Exponential equation is in the form:

y = abˣ

where y, x are variables, b is the multiplier and a is the initial value.

Let y represent the bacteria population after x hours.

a = 650 bacteria

b = 100% + 4.75% = 1.0475

The exponential function is y = 650(1.0475)ˣ

After 33 hours:

y = 650(1.0475)³³ = 3006

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Answer:

x-3

Step-by-step explanation:

y = x+3

Exchange x and y

x = y+3

Solve for y

x-3 = y+3-3

x-3 = y

The inverse is x-3

Answer:

41.41

Step-by-step explanation:

cosA=6/8=3/4

I used a calculator

Answer:

4x-1-5-2x

2x-6

Step-by-step explanation:

Answer:

2x - 6

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

zero

Step-by-step explanation:

2x-2x+1=-1

1 doesn't equal -1

Answer:

No solution

Step-by-step explanation:

(a) Since F is a conservative vector field, there exists a scalar potential function f such that F = ∇f. Then we can apply Stokes' theorem to get:

∫S curl(F) · dA = ∫S (∇ × F) · dA = ∫S 0 · dA = 0

On the other hand, by the fundamental theorem of calculus for line integrals, we have:

∫∂S F · dr = f(B) - f(A)

where A and B are the endpoints of any curve C that starts at the boundary of S and ends at some point inside S. Since S has a boundary, we can choose a closed curve C that encloses S and use it as the boundary of a surface R that contains S. Then we have:

∫∂S F · dr = ∫C F · dr = ∫∫R curl(F) · dA = 0

Therefore, Jag F - dr = 0.

(b) We can use the vector identity V × F = -F × V and apply Stokes' theorem to get:

∫S (V × F) · dà = -∫S (F × V) · dà = -∫∂S (fV) · dr

= -f(B) ∫∂S V · dr + f(A) ∫∂S V · dr

Since S has a boundary, we can again use a closed curve C that encloses S and use it as the boundary of a surface R that contains S. Then the two line integrals on the right-hand side cancel out, and we are left with:

ƒƒg(V × F) · dà = 0.

(c) V × F is the cross product of the vector field F and the vector V. Explicitly, if we write V = vi + wj + zk and F = P(x,y,z)i + Q(x,y,z)j + R(x,y,z)k, then we have:

V × F = (wR - zQ)i + (zP - vR)j + (vQ - wP)k

where the partial derivatives of P, Q, and R with respect to x, y, and z are understood.

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Answer:

38

Step-by-step explanation:

Its 38 beacuse 198 divided by 2 is 38

Answer:

C; 48x + 6 = 198

Step-by-step explanation:

4 8 + 6 = 1 9 8

4 8 + 6 − 6 = 1 9 8 − 6

= 4

all the number's were given is 6in with X inches, 48D/T with the result of 198, so we know 198 is the result of 48 days, so that means 48x. day + ^Y or the inches we started with

The required area of the given rectangle is (D) 62 7/20 ft².

The surface of a shape's area is measured.

We must multiply the length and breadth of a rectangle or square in order to determine its area.

A has an area of x times y.

Area, which is measured in square units, is the amount of surface that a two-dimensional shape can occupy.

The square meter (m2), a derived unit, is the SI unit of area.

So, we have the dimensions:

Length is 7 1/4 ft and breadth is 8 3/5 ft.

Now, calculate the area as follows:

l * b
7 1/4 * 8 3/5

29/4 * 43/5

1247/20

62 7/20 ft²

Therefore, the required area of the given rectangle is (D) 62 7/20 ft².

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Correct question:

What is the area of a rectangle with a length of 7 1/4 feet and a width of 8 3/5 feet?

A. 30 3/9 ft

B. 56 3/20 ft

C. 56 4/9 ft

D. 62 7/20 ft

The formulated Linear Program aims to minimize the objective function, which is the sum of production and inventory costs minus the revenue from selling the end-of-period inventory at month 4.

In this problem, we need to determine the optimal production and inventory levels over the four-month period to minimize costs and maximize revenue. We can formulate this as a linear programming problem with the following decision variables:

Let x1, x2, x3, x4 represent the production quantities for months 1, 2, 3, and 4, respectively.

Let y1, y2, y3, y4 represent the end-of-month inventory levels for months 1, 2, 3, and 4, respectively.

The objective function we want to minimize is:

Minimize: (5x1 + 8x2 + 4x3 + 7x4) + (2y1 + 2y2 + 2y3) - (15y4)

Subject to the following constraints:

1. Initial inventory: y1 = 15 (given)

2. Production capacity constraints:

  x1 <= 90 (month 1 capacity)

  x2 <= 75 (month 2 capacity)

  x3 <= 80 (month 3 capacity)

  x4 <= 50 (month 4 capacity)

3. Inventory balance equations:

  y1 + x1 - 50 = y2 (month 1)

  y2 + x2 - 65 = y3 (month 2)

  y3 + x3 - 100 = y4 (month 3)

  y4 + x4 - 70 = 0 (month 4, no carryover inventory)

4. Non-negativity constraints:

  x1, x2, x3, x4, y1, y2, y3, y4 ≥ 0

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The constant of proportionality is given as follows:

k = 3/4.

Hence the value of y when x = 10 is given as follows:

y = 7.5.

A proportional relationship is a relationship in which a constant ratio between the output variable and the input variable is present.

The equation that defines the proportional relationship is a linear function with slope k and intercept zero given as follows:

y = kx.

The slope k is the constant of proportionality, representing the increase or decrease in the output variable y when the constant variable x is increased by one.

For this problem, we have that when x = 4, y = 3, hence the constant is given as follows:

4k = 3

k = 3/4.

Hence the equation is:

y = 3x/4.

The numeric value at x = 10 is given as follows:

y = 3 x 10/4

y = 30/4

y = 15/2

y = 7.5.

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The number of degrees of freedom we should use is 14 for makin95% confidence interval.

Degrees of freedom of an estimate is the number of independent pieces of information that went into calculating the estimate. It’s not quite the same as the number of items in the sample. In order to get the df for the estimate, you have to subtract 1 from the number of items.

Degree of freedom of sample size of n : n -1

When we don't have any idea about population standard deviation,

and also, the sample size is less than 30 .

We use t-distribution to calculated the statistics.

According to the question,

We are making a 95% confidence interval

The sample is 15 (<30) . So , we have to adjust and use a t-value instead of a Z score in order to account for the smaller sample size and using the sample SD.  

Note that the t-value depends on the degrees of freedom (df) as a reflection of sample size. When using the t-distribution to compute a confidence interval, df = n-1.

So , making 95% confidence interval for population mean from sample size 15 , we need degree of freedom of 14

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Answer:

15+(2x15)

Step-by-step explanation:

Saturday: she sold 15

Sunday: she sold twice as many which means 15x2=30

when you add them you'll get 45

so 15+(2x15)

first you do the parenthesis (2x15) =30

then you add 15 to 30 which gives you 45.

:)