A pharmaceutical company manufactures a 200-milligram (mg) pain reliever. Company specifications require that the standard deviation of the amount of the active ingredient must not exceed 5 mg. The quality-control manager selects a random sample fo 30 tablets from a certain batch and finds that the sample standard deviation is 7.3 mg. Assume that the amount of the active ingredient is normally distributed. Determine whether the standard deviation of the amount of the active ingredient is greater than 5 mg at the 0.05 level of significance.

Answer:

80 degree is the measure of third angle

Calculator Use

Calculate the sale price you will pay for an item based on the type of discount in the sale promotion:

Percent off list price

Fraction off list price

Multi-item discount

You can also compare discounts to find the lowest price for an item. Enter a percentage off price, fraction off price, multiple items for the price of one or other "two-for" type discounts. Compare the final discounted price for each in the answer table.

Delete any pricing inputs you don't need for your calculations.

Sale Price Formulas and Calculations

Percent Off Price Formula

Discounted price = List price - (List price x (percentage / 100))

Example: Sale price is 25% off list price of $130

Convert 25% to a decimal by dividing by 100: 25/100 = 0.25

Multiply list price by decimal percent: 130*0.25 = 32.50

Subtract discount amount from list price: 130 - 32.50 = 97.50

With the formula:

130 - (130*(25/100)) =

130 - (130*0.25) =

130 - 32.50 = 97.50

25% off $130 is $97.50

Answer:

103.96

Step-by-step explanation:

100% (full price)                                                             --> 129.95

80% (retail price = 100%(full price) - 20% (discount)) --> x

x = 80*129.95/100 = 103.96

Answer:

Step-by-step explanation:

To dilate the square by a factor of 1111 from the origin, we need to multiply each coordinate by 1111.

The coordinates of point C are (8,8). So, to find the coordinates of point C' after dilation, we can simply multiply each coordinate by 1111:

x-coordinate of C' = 1111 * 8 = 8888

y-coordinate of C' = 1111 * 8 = 8888

Therefore, the coordinates of point C' are (8888, 8888).

All customers in Mogale City, irrespective of income, receive the first 6 kls of water free.

According to the properties of the standard normal distribution, approximately 99.7% of the values lie within three standard deviations of the mean. Therefore, the answer is 99.7%.

To determine the percentage of videos on the streaming site that are between 264 and 489 seconds, we need to calculate the area under the normal curve within that range. Since the distribution is approximately normal with a mean of 264 seconds and a standard deviation of 75 seconds, we can use the properties of the standard normal distribution to find the desired percentage.

First, we need to convert the values 264 and 489 to z-scores, which represent the number of standard deviations a particular value is away from the mean. The z-score formula is given by:

z = (x - μ) / σ

where x is the value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get:

z1 = (264 - 264) / 75 = 0

z2 = (489 - 264) / 75 = 3

Next, we can use a standard normal distribution table or a calculator to find the area under the curve between z = 0 and z = 3. The area represents the percentage of videos falling within that range. The answer is 99.7% .

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Answer:

[B]. (1,-5)

Step-by-step explanation:

Given:

\(\begin{bmatrix}4x+2y=-6\\ 3x-2y=13\end{bmatrix}\)

Solve:

\(\begin{bmatrix}4x+2y=-6\\ 3x-2y=13\end{bmatrix}\)        Since 2y - 2y = 0 we take that away now we have;

\(4x=-6\\3x=13\)        Add 4x + 3x = 7x

\(\frac{7x}{7} =\frac{7}{7}\) Divide both sides by 7.

\(x=1\)

Now substitute x to find y.

\(4(1)+2y=-6\)

\(4 + 2y =-6\)  Add 6 to the other side.

\(10 = 2y\) Divide both sides by 2.

\(\frac{10}{2} =\frac{2y}{2}\)

\(y = 5\)

Hence, the answer is [B]. (1,-5)

RevyBreeze

Answer:

\(2.375\,\,miles\)

Step-by-step explanation:

Given: Length of a hiking trail is \(3\frac{4}{5}\,\,miles\)

Terence travels \(\frac{5}{8}\) of the length of a hiking trail

To find: Distance travelled by Terence

Solution:

Whole numbers refer to natural numbers together with 0.

A fraction represents a part of a whole.

A whole number and a fraction combined into mixed fraction.

Distance travelled by Terence = \(\frac{5}{8}(3\frac{4}{5})=\frac{5}{8}(\frac{19}{5})=\frac{19}{5}=2.375\,\,miles\)

Answer:

It's -30

Step-by-step explanation:

Combine like terms

 −  8  =  2 1 0

 −7  =  2 1 0

Divide both sides of the equation by the same term

− 7  =  2 1 0

-7a/-7 = 210/-7

You cancel the -7  on the left side and divide 210 by -7

and then 210/-7 is -30

Hope this helps mark me brainliest!

Answer:

12 • (17 • 23) = (12 • 17) • 23

Answer:

I literally NEVER got this. it was the most complicated thing to me and still is.

Step-by-step explanation:

Answer:4.5

Step-by-step explanation:

2 times 4.5=9.   9+1=10

so answer is 4.5

10=1+2a or 2a+1=10

A sum is the answer to an addition equation. 1 is being added to 2a. A number can be written as any letter in the alphabet(called a variable in math terms).

hope it helps!

Answer:

B. 45

Step-by-step explanation:

we know the sum of both angles is 90 because of the small sqaure in the corner.

90 = 2x+20

70 = 2x

45 = x

Answer:

35

Step-by-step explanation:

Because of the box in the graph, you can tell that this is a 90-degree angle

2x means the next angle will be twice of the answer choice number

because the end product must be 70 the answer must be 35

35 x 2 = 70

Answer:

-18 and -27 ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ

Answer:

no answer

Step-by-step explanation:

0.2 (34-2)+0.5

0.2× 32 +0.5

6.4 +0.5

6.9

Answer:

D. 0.25

Step-by-step explanation:

I didnt really have to to step-by-step for this im so sorry if you needed that but I hope i helped <3 Brainilest?

Answer:

Step-by-step explanation:

Circumference of a circle = 2πr

where

r is the radius

From the above question

radius = 25 in.

Substitute this value into the above formula

That's

Circumference = 2(25)π

= 50π

= 157.079

We have the final answer as

Hope this helps you

Answer:

2. 0.075

3. 0.416

4. 20.3

5. 1.32

6. 0.503

7. 12.11

8. 0.214

Mark would need 15 new clients.

Step-by-step explanation:

That is the answer? Is there another question?

Answer:

No

Step-by-step explanation:

The first nine is 100 times greater than the other 9 because the first nine is in the ones place and the second 9 is in the hundredths place.

Answer:

The investment required is: $5687

Step-by-step explanation:

Future Amount A= $7000

Rate r = 6% =0.06

Time t = 4

Compounded Weekly = n= 52

We need to find Principal Amount P

The formula used is: \(A=P(1+\frac{r}{n})^{n*t}\)

Putting values and finding P

\(A=P(1+\frac{r}{n})^{n*t}\\7000=P(1+\frac{0.06}{52})^{4*52}\\7000=P(1.001)^{208}\\7000=P(1.231)\\P=\frac{7000}{1.231} \\P=5687\)

So, The investment required is: $5687

1. The Fill ups are as follow:

AB² +  BC² = AC. AD + AC. CD

2. Segment addition postulate

The relationship between the three sides of a right-angled triangle is explained by the Pythagoras theorem, commonly known as the Pythagorean theorem. The Pythagoras theorem states that the square of a triangle's hypotenuse is equal to the sum of its other two sides' squares.

Given:

BC/ AC = CD/ BC and AB/ AC = AD/ AB

Now, BC² = AC. CD  and AB² = AC. AD

Using, Addition Property of Equality

AB² +  BC² = AC. AD + AC. CD

and, AB² +  BC² = AC (AD + CD)  [factor]

AD + CD = AD (segment addition postulate)

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PLATO

i got it correct :)

The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities.

If Mofor only has time to do two homework assignments out of the five subjects, he will need to choose which subjects to prioritize. The specific subjects he chooses to work on will depend on various factors such as his strengths, weaknesses, upcoming deadlines, and personal preferences. Here are a few strategies he could consider:

1. Prioritize based on importance: Mofor can prioritize the homework assignments that carry more weight in terms of grades or have upcoming deadlines. This way, he ensures that he completes the assignments that have a higher impact on his overall academic performance.

2. Focus on challenging subjects: If Mofor finds certain subjects more difficult or time-consuming, he can prioritize those assignments to allocate more time and effort to them. This approach allows him to concentrate on improving his understanding and performance in subjects that require extra attention.

3. Balance workload: Mofor can choose to distribute his efforts evenly across subjects, selecting two assignments from different subjects. This strategy ensures that he maintains a balanced workload and avoids neglecting any particular subject.

The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities. It is essential for him to consider his academic goals, time constraints, and personal strengths to make an informed decision.

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Mean: 34.125, Median: 31.5, Mode: 38

Mean: 19.222, Median: 18, No mode

Mean: 8.611, Median: 8, Mode: 8

Let's find the mean, median, and mode for each set of numbers:

Set: 40, 38, 29, 34, 37, 22, 15, 38

Mean: To find the mean, we sum up all the numbers and divide by the total count:

Mean = (40 + 38 + 29 + 34 + 37 + 22 + 15 + 38) / 8 = 273 / 8 = 34.125

Median: To find the median, we arrange the numbers in ascending order and find the middle value:

Arranged set: 15, 22, 29, 34, 37, 38, 38, 40

Median = (29 + 34) / 2 = 63 / 2 = 31.5

Mode: The mode is the number(s) that appear(s) most frequently in the set:

Mode = 38 (appears twice)

Set: 26, 32, 12, 18, 11, 14, 21, 12, 27

Mean: Mean = (26 + 32 + 12 + 18 + 11 + 14 + 21 + 12 + 27) / 9 = 173 / 9 ≈ 19.222

Median: Arranged set: 11, 12, 12, 14, 18, 21, 26, 27, 32

Median = 18

Mode: No mode (all numbers appear only once)

Set: 3, 3, 4, 7, 5, 7, 6, 7, 8, 8, 8, 9, 8, 10, 12, 9, 15, 15

Mean: Mean = (3 + 3 + 4 + 7 + 5 + 7 + 6 + 7 + 8 + 8 + 8 + 9 + 8 + 10 + 12 + 9 + 15 + 15) / 18 ≈ 8.611

Median: Arranged set: 3, 3, 4, 5, 6, 7, 7, 7, 8, 8, 8, 8, 9, 9, 10, 12, 15, 15

Median = 8

Mode: Mode = 8 (appears 4 times)

Mean: 34.125, Median: 31.5, Mode: 38

Mean: 19.222, Median: 18, No mode

Mean: 8.611, Median: 8, Mode: 8

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Answer:

x = 27 , ∠ EAF = 27°

Step-by-step explanation:

∠ GAF = 90° , then

∠ GAC + ∠ CAF = ∠ GAF , that is

x + 63 = 90 ( subtract 63 from both sides )

x = 27

∠ DAE = 90°

since CD is a straight angle of 180° , then

∠ CAE = 90° , so

∠ CAF + ∠ EAF = ∠ CAE , that is

63° + ∠ EAF = 90° ( subtract 63° from both sides )

∠ EAF = 27°

Answer:

70

Step-by-step explanation:

What U will first want to do is divide 500 by 7 and U will get 71.42.

Then Im guessing sense it says about it will round to about 70 Paper Flowers.

Hope This Helps!!!

70

What you will first want to do is divide 500 by 7  you will get 71.42.

rounded about 70 tissue things-

Answer:

your answer is 91 over 5

Step-by-step explanation:

Answer:

its 2 with a power of 3 over ten.

Step-by-step explanation:

I got it wrong and just clicked show correct answer.

Answer:

a)

The null hypothesis is \(H_0: p = 0.91\).

The alternate hypothesis is \(H_1: p < 0.91\).

The decision rule is: accept the null hypothesis for \(z > -1.645\), reject the null hypothesis for \(z < -1.645\).

Since \(z = -1.79 < -1.645\), we reject the null hypothesis and accept the alternate hypothesis that that percentage of athletes who graduate is less than for the student population at large.

b)

The p-value for this test is 0.0367. Since this p-value is less than the significance level of \(\alpha = 0.05\), we reject the null hypothesis and accept the alternate hypothesis that that percentage of athletes who graduate is less than for the student population at large.

Step-by-step explanation:

Question a:

Perform the appropriate hypothesis test to determine whether this is significant evidence that the percentage of athletes who graduate is less than for the student population at large:

At the null hypothesis, we test if the proportion is the same as the student population, of 91%. Thus:

\(H_0: p = 0.91\)

At the alternate hypothesis, we test that the proportion for athletes is less than 91%, that is:

\(H_1: p < 0.91\)

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.

Test if the proportion is less at the 0.05 level:

The critical value is z with a p-value of 0.05, that is, z = -1.645. Thus, the decision rule is: accept the null hypothesis for \(z > -1.645\), reject the null hypothesis for \(z < -1.645\).

0.91 is tested at the null hypothesis:

This means that \(\mu = 0.91, \sigma = \sqrt{0.91*0.09}\)

A sports reporter contacted 152 athletes randomly sampled from that same university and time period and found that 132 of them had graduated within 6 years.

This means that \(n = 152, X = \frac{132}{152} = 0.8684\)

Value of the test statistic:

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

\(z = \frac{0.8684 - 0.91}{\frac{\sqrt{0.91*0.09}}{\sqrt{152}}}\)

\(z = -1.79\)

Since \(z = -1.79 < -1.645\), we reject the null hypothesis and accept the alternate hypothesis that that percentage of athletes who graduate is less than for the student population at large.

(b) (3 points) Calculate the P-value for this test. Explain how this P-value can be use to test the hypotheses in part (a).

The p-value of the test is the probability of finding a sample proportion of 0.8684 or below. This is the p-value of z = -1.79.

Looking a the z-table, z = -1.79 has a p-value of 0.0367.

The p-value for this test is 0.0367. Since this p-value is less than the significance level of \(\alpha = 0.05\), we reject the null hypothesis and accept the alternate hypothesis that that percentage of athletes who graduate is less than for the student population at large.

The function is zero at x = 1 and x = -3.

The vertex of the function is (-1, -4).

(0, -3) is the y-intercept.

The minimum of the function is at x = -1.

All the statement is true.

We have,

The zeroes of a function are the values of x that make the function evaluate to zero.

The vertex of a function, also known as the vertex point or vertex form, is a point on the graph of a quadratic function where the function reaches its maximum or minimum value.

The minimum of a function refers to the lowest value that the function attains over a given interval or its entire domain.

Now,

From the graph,

The function is zero at x = 1 and x = -3

So,

The function has two zeroes.

And,

The vertex of the function.

= (-1, -4)

And,

At x = 0, y = -3.

(0, -3)

This is the y-intercept.

Now,

From the graph,

The minimum of the function is at x = -1.

Thus,

The function is zero at x = 1 and x = -3.

The vertex of the function is (-1, -4).

(0, -3) is the y-intercept.

The minimum of the function is at x = -1.

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The calculated price per video game for store A is $1.79 per game

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

The price per video game for store A is calculated as

Price per video game = Total price/Number of games

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

Price per video game = 8.95/5

Evaluate the quotient

So, we have

Price per video game = 1.79

Hence, the price per video game for store A is $1.79 per game

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The number of items she should sell from her collection is 24

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

Ratio = Piglets : Books

For 130 piglets and 110 books, we have the following representations

Ratio = 130 : 110

Also, for 13 piglets, we have the following representations

Ratio = 13 : Books

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

13 : Books = 130 : 110

This can also be rewritten as

Books : 13 = 110 : 130

Multiply the second ratio by 1/10

So. we have

Books : 13 = 11 : 13

By comparison, we have

Books = 11

So, the total items sold is

Items = 11 books + 13 piglets

Evaluate

Items = 24 items

Hence, the number of items is 24

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