Given that z is a standard normal random variable, find z for each situation (to 2 decimals). Enter negative values as negative numbers. The area to the left of z is .2119. The area between -z and z is .9030. The area between -z and z is .2052. The area to the left of z is .9948. The area to the right of z is .6915.

The constant 5 represents the flat fee of $5, while the term 0.75x represents a cost of $0.75 per minute for use of the services for x minutes. Therefore, option D is the correct answer.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

The given expression is 5+0.75x.

In the given expression, 5 is constant term and 0.75x is another term.

In the term 0.75x, 0.75 is the coefficient of x

In the expression 5+0.75x, 5 is fixed price and 0.75 is price for second or minute or hour or year and x can be number seconds or minutes or hours or years.

Therefore, option D is the correct answer.

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Answer:

Step-by-step explanation:

Answer:

\(x + y = - 5\)

Step-by-step explanation:

hopefully it is clear and makes sense

:)

The total number of ways in which the group of seven people can be seated together in a row are 1440.

The group of seven people are attending the movie together and two of them are insisting that they will sit side by side to each other.

Now if all the people were to be seated in any random order then the number of positions would have been seven but now as two people are sitting side by side so we will consider only six positions in which we have to make the combinations.

And as we know that the seven people will be unique and there will be no repetition total number of ways in which the seven can be fitted together in a row is,

= 6 x 5 x 4 x 3 x 2 x 1 x 2

= 1440

It is to be noted that we have multiplied by the number of positions with to because the two people who are sitting together can be seated in two possible ways.

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Answer:

2

Step-by-step explanation:

|x| + |x-2| =

Let x= 1

|1| + |1-2| =

|1| + |-1| =

The absolute value means take the non negative value

1 + 1 = 2

Answer:

I don't know honestly sorry

Step-by-step explanation:

I tried

The statement describes the incidence measure of occurrence, which refers to the number of new cases of a disease or condition that occur in a defined population over a specific period of time.

This statement describes the incidence rate of flu among students living in Dunedin hostels.
The incidence rate is a measure of occurrence that calculates the number of new cases (in this case, students getting sick with the flu) in a specific population (150 students in Dunedin hostels) over a specific time period (3 months). This rate helps us understand the frequency at which the flu is affecting this particular group of students

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The answer would be 80. why? just basically add the x number by it's self and you get your answer.

like 5 +5 gets u 10 in the y axis

and 40+40 gets u 80 in the y axis.

Answer:

0 = 208 - 12x

Step-by-step explanation:

Since after 5 days the tree only had 208 leaves remaining, assuming that the rate of decay is constant, we can use the following equation to calculate the total number of days (starting at the 5-day mark as 0) until the tree loses all of its leaves. In this equation, the total number of days is represented by the variable x.

0 = 208 - 12x

Now that we have the equation we can solve it...

0 = 208 - 12x ... subtract 208 on both sides

-208 =  -12x   ... divide both sides by -12

17.33 = x

Finally, we can see that after 18 days (not 17.33 because we are counting full days) the tree will have lost all of its leaves.

Answer: Its D i just took the test

Step-by-step explanation:

Answer:

2 students

Step-by-step explanation:

Given that

There are 48 students out of which 2 by 3 have their speeches and the remaining of 7 by 8 give their speeches

We need to find the no of students who haven't given their speeches

So,

= 48 × 2 ÷ 3

= 32

Now

= (48 - 32) × 7 ÷ 8

= 14

So, the no of students still haven't given their speeches is

= 48 - 32 -14

= 2 students

Answer:

11.4

Step-by-step explanation:

15 divided by 5= 3 so ABC is 3 times bigger than EFD. you times 3.8 by 3 to get your answer. I hope this helps!!

Answer:

\(\angle BAC=180^{\circ}-\frac{13\sin 23^{\circ}}{6}\)

Step-by-step explanation:

\(\frac{\sin(\angle BAC)}{13}=\frac{\sin 23^{\circ}}{6} \\ \\ \sin \angle BAC=\frac{13\sin 23^{\circ}}{6} \\ \\ \angle BAC=180^{\circ}-\frac{13\sin 23^{\circ}}{6}\)

One type of t test that is suitable for this study is the related one-sample t test.

The T-test provides insight into whether the difference between the means of two groups is due to chance or is reliable (ie would be found again in another measurement from the same population).

t test is used for following purposes :

1. Testing significance between hypothetical mean of sample and population mean.

2. Testing significance between mean of 2 different samples.

3. Testing significance between mean of sample post and prior to a stimuli or operation.

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Answer:

The ratio of 1:2 is written by the f/f forms

1. 1:2(read as the ratio of 1 to 2 or simply 1 is to 2

2. 1/2 is read as 1 over 2

3. 1÷2 read as 1 divided by 2

Answer:

base = 6.8 in

Step-by-step explanation:

area of triangle = 1/2 base height

where height = 4.4 in

              area = 14.96 in²

plugin values into the formula

14.96 = 1/2 base (4.4)

base = 14.96 (2)

               4.4

base = 6.8 in

Answer:

m = 2

Step-by-step explanation:

6m = 12

6 × m = 12

m = 12 ÷ 6

m = 2

If it helps, then pls like and mark as brainliest!

Answer:

m = 2

Step-by-step explanation:

6m = 12

6m = 6^2

• get rid of common element which is 6. Devide both side by six.

6m ÷ 6 = 6^2 ÷ 6

m = 2

Answer:

1750 people

Step-by-step explanation:

4%*25=100%

100%= is the whole

so it would be 70x25=1750

The cutoff score for determining higher reading proficiency would be 76 (national mean score) as the cutoff point. Any score above 76 can be considered higher than the national norm.

To determine whether the reading proficiency of high school seniors in your city is higher than the national norm, we can conduct a hypothesis test using the given information. Here are the steps to follow:

State the hypotheses:

The null hypothesis (H0) assumes that the reading proficiency of high school seniors in your city is not higher than the national norm.

The alternative hypothesis (H1) assumes that the reading proficiency of high school seniors in your city is higher than the national norm.

H0: μ ≤ 76 (population mean reading score is less than or equal to the national mean)

H1: μ > 76 (population mean reading score is greater than the national mean)

Determine the significance level:

The significance level (α) is given as 5%, which means we can reject the null hypothesis if the probability of observing the given data is less than 5%.

Calculate the z-score:

To compare the sample reading score of 78 with the national norm, we need to calculate the z-score using the formula:

z = (x - μ) / σ

Where:

x = Sample mean (78)

μ = Population mean (76)

σ = Population standard deviation (1.2)

Substituting the values into the formula:

z = (78 - 76) / 1.2

z = 2 / 1.2

z = 1.67

Find the critical value:

Since our alternative hypothesis is one-tailed (μ > 76), we need to find the critical value from the z-table corresponding to a 5% significance level in the right tail.

Looking up the z-table, we find that the critical z-value for a 5% significance level is approximately 1.645.

Compare the z-score with the critical value:

If the calculated z-score is greater than the critical value, we can reject the null hypothesis; otherwise, we fail to reject it.

In this case, the calculated z-score is 1.67, which is greater than the critical value of 1.645.

Make a decision:

Since the calculated z-score is greater than the critical value, we can reject the null hypothesis.

Conclusion:

Based on the sample reading score of 78 and the given information, there is sufficient evidence to conclude that the reading proficiency of high school seniors in your city is higher than the national norm at a 5% significance level.

In summary, the cutoff score for determining higher reading proficiency would be 76 (national mean score) as the cutoff point. Any score above 76 can be considered higher than the national norm.

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The y-intercept is the initial value of the investment is $400.

If an investment is compounded annually, it means that both the initial amount invested and the interest that is accrued increases in value once a year. The equation that is used to determine the future value of the investment that earns a compound interest is an exponential function.

The form of the exponential function is:

FV = P (1 + r)^nm

Where:

The y-intercept of an exponential function is the point where the graph touches the y-axis. It is the point where the value of x is zero. The y-intercept is the initial value of the investment. The initial value of the investment is $400.

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number line with closed circle on point negative 7 over 22 and arrow shaded to the left

In other words, we shade to the left of -7/22 and have a closed circle at this endpoint.

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

Explanation:

Let's solve for m. To do so, we multiply both sides by 7 to clear out the fraction on the left side.

\(\frac{1}{7}m \le -\frac{1}{22}\\\\7*\frac{1}{7}m \le 7*\left(-\frac{1}{22}\right) \ \ \text{ ... multiply both sides by 7}\\\\m \le -\frac{7}{22}\)

The inequality sign doesn't flip since we didn't multiply both sides by a negative number.

The graph will involve a closed circle on the point -7/22 and an arrow shaded to the left. Therefore, it leads to choice D being the final answer.

This visually describes all values of m that either m = -7/22 or m < -7/22.

Side note: if there wasn't an "or equal to", then use an open circle or open hole, rather than a closed circle.

The reaction of the graduate student on inflation is that a cost-of-living increase to her stipend.      

Inflation is the pace of expansion in costs over a given time-frame. Inflation is regularly a wide measure, like the general expansion in costs or the expansion in the typical cost for many everyday items in a country.

Inflation is term which states there is an expansion in the cost level for any labor and products.

In the unique situation, a set of experiences graduate living in the US got a payment of 18,000 dollar. However, there is a critical expansion that US economy endures. In this way the expense of products and the administrations accessible to individuals increments quickly. Individuals presently need to spend more on everything. Accordingly the alumni understudy requirements to request the typical cost for most everyday items to be remembered for the payment as need might arise to spend more on living.

Thus, graduate student argue on the a cost-of-living increase to her stipend.      

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To determine the sign of the sum of two integers when one integer is positive and the other is negative, we can follow a simple rule based on their magnitudes.

If the magnitude of the positive integer is greater than the magnitude of the negative integer, the sum will be positive. This is because the positive integer outweighs the negative integer, resulting in a positive value.

On the other hand, if the magnitude of the negative integer is greater than the magnitude of the positive integer, the sum will be negative. In this case, the negative integer dominates and determines the sign of the sum.

In both scenarios, the sign of the larger magnitude integer takes precedence and determines the sign of the sum. It is important to note that the sum will always have the sign of the integer with the larger magnitude, regardless of the specific values of the integers involved.

By considering the magnitudes of the integers, we can easily determine the sign of their sum when one integer is positive and the other is negative.

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Answer:

A 8.469862e+15 so that is the answer hope u get the answer cprrect

The values for the mean and standard deviation for the original sample are Moriginal = 0.625 and Soriginal = 0.9661, respectively.

Compute the mean and standard deviation for the new sample.

The mean of the original sample Soriginal is 0.625.

Moriginal = 0.625.

For the given sample of n = 8 scores: 0, 1, 1/2, 0, 3, 1/2,0,1.

We have to simplify the arithmetic by first multiplying each score by 2 to obtain a new sample of 0, 2, 1, 0, 6, 1, 0, and 2. Then, we will compute the mean and standard deviation for the new sample.

The calculations are:

\($\overline{x}_{\text{new}}=\frac{\sum x_{\text{new}}}{n}=\frac{0+2+1+0+6+1+0+2}{8}=1.25$$\)

This implies that the mean of the new sample is 1.25.Mnew = 1.25

Now, let us calculate the standard deviation.

To do so, we have to calculate the variance of the data. The variance is the average of the squared deviation from the mean.

That is,

\($\sigma_{\text{new}}^2=\frac{\sum(x_{\text{new}}-\overline{x}_{\text{new}})^2}{n-1}\)

\(=\frac{(0-1.25)^2+(2-1.25)^2+(1-1.25)^2+(0-1.25)^2+(6-1.25)^2+(1-1.25)^2+(0-1.25)^2+(2-1.25)^2}{8-1}\\=3.7321\)

This implies that the variance of the new sample is 3.7321.

Now, we calculate the standard deviation as:

\($\sigma_{\text{new}}=\sqrt{3.7321}=1.9322$\)

Thus, the standard deviation of the new sample is 1.9322.

Snew = 1.9322

We will use the formula for calculating the standard deviation of a new sample from an old sample, as follows:

\($\sigma_{\text{old}}=\frac{\sigma_{\text{new}}}{2}=\frac{1.9322}{2}=0.9661$$\)

So, the standard deviation of the original sample is 0.9661.

Soriginal = 0.9661

To find the mean of the original sample, we will use the following formula:

\($\overline{x}_{\text{old}}=\frac{\overline{x}_{\text{new}}}{2}=\frac{1.25}{2}=0.625$$\)

Therefore, the mean of the original sample is 0.625.

Moriginal = 0.625

Thus, the values for the mean and standard deviation for the original sample are Moriginal = 0.625 and Soriginal = 0.9661, respectively.

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Answer:

8s

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

10s + -2s

Step 2: Simplify

Answer:

\(\huge\boxed{8s}\)

Step-by-step explanation:

Expression can be broken down into a couple of parts.

When we have multiple terms with the same variable, we can perform operations on them assuming they have the same variable - for example, 5x + 6x = 11x, as 5+6=11.

We can apply the same logic here, however, note that adding a negative is the same as subtracting a positive. For example, 5 + -2 is the same as 5-2.

\(10 - 2 = 8\)

Therefore, our final expression is \(8s\).

Hope this helped!

Therefore, the accumulated value is $275,734.45.

Determine the accumulated value after 6 years of payments of $256.00 made quarterly in advance at a 5% rate with the same compounding intervals as the payments. What is the accumulated value if the interest rate is 36% compounded quarterly, given an equivalent annual rate of return of 51%?

Mr. Nowak contributed $18700 at the end of each year for a total of 15 years. The formula to calculate the future value of an annuity due is:

FVad = PMT × (1 + r/k)n × ((1 + r/k) − 1) × (k/r)

Where:

FVad = Future value of an annuity due

PMT = Payment per period

r = Annual interest rate

k = Number of compounding periods per year (quarterly compounding, so k = 4)

n = Total number of periods 5 Mr. Nowak's contributions amount to $280,500 ($18,700 x 15), and the annual interest rate is 3% compounded quarterly, or 0.75% quarterly (3/4). After 15 years, the accumulated value of the plan will be:

$337,391.09 (($18700 × ((1 + 0.75%) ^ (15 × 4)) × (((1 + 0.75%) ^ (15 × 4)) − 1)) / (0.75%)

Round off intermediate values to six decimal places:

$280,500 × 1.824766 = $511,737.74$337,391.09 − $511,737.74

= −$174,346.65

Mr. Nowak's RRSP plan has a negative interest of $174,346.65. It is important to double-check the calculations to ensure that the correct numbers are utilized.

Accumulated value is the sum of future payments, and the formula for calculating it is:

FV = PV × (1 + r/k)n × (k/r)Where:

FV = Future value

PV = Present value

r = Annual interest rate

k = Number of compounding periods per year (quarterly compounding, so k = 4)

n = Total number of periods6 years at $256 per payment, made quarterly, is a total of 24 payments.

$256 × ((1 + 0.05/4)^24 − 1) / (0.05/4)

= $7,140.07

Interest earned is $7,140.07 − $6,144 = $996.07 ($6,144 is the total amount of payments made, $256 × 24).

The equivalent annual rate is 51%, and the interest is compounded quarterly at 36%.

The effective interest rate for quarterly compounding is:

r = (1 + 0.51)^(1/4) − 1 = 0.10793 or 10.793%.

Applying the formula for the future value of a single amount:

FV = PV × (1 + r/k)n × (k/r)

With an initial payment of $1,000:

FV = 1000 × ((1 + 0.10793/4)^(15 × 4)) × (4/0.10793)

= $275,734.45

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Answer:

Solution given;

l=4.5ft

b=2ft

h=2ft

now

volume=l*b*h=4.5*2*2=18ft³

is a required volume.

Now

total surface area =2(lb+lh+bh)

=2(4.5*2+4.5*2+2*2)=44ft²

is a total surface area.

Answer:

Surface area: 44 ft² or 44 square feet

Volume: 18 ft³ or 18 cubic feet

Step-by-step explanation:

Volume:

V = whl

2 · 2 · 4.5

18

Surface area:

A = 2(wl + hl + hw)

2 · (2 · 4.5 + 2 · 4.5 + 2 · 2)

44