Rita wants to paint the area shown at the right. What is the
area that she needs to cover?

Answer:

79.2° (First Option)

Step-by-step explanation:

To find mAB, recognize that the percents given for the pie chart can represent the percent area of the sector of the circle, the percent measure of the central angle that forms the sector, or the percent measure of the length of the arc.

The measure of an arc is equal to the measure of the central angle between the radii that form its endpoints. So, mAB=m∠AOB.

The measure of the central angle AOB that forms AB is 22 percent of the whole circle, or (0.22)360∘. So, mAB=0.22(360∘)=79.2∘

Therefore, the measure of arc AB

is 79.2∘.

The measure of the arc AB of a circle showing the different vitamins present in a health drink is 79.2 degrees.

The measure of an arc is always equivalent to the measure of the central angle between the radii that form its endpoints.

As the measure of an arc is always equivalent to the measure of the central angle between the radii that form its endpoints.

Thus \(m\angle{AOB}=\widehat{AB}\).

First, find the measure of angle AOB.

Since the measure of angle AOB shows 22% of vitamins of the whole circle.

This means that the measure of angle AOB is 22% of 360 degrees.

Then we will get

\(m\angle{AOB}=\dfrac{22}{100}\times 360^{\circ}\\m\angle{AOB}=79.2^{\circ}\)

Here the measure of angle AOB  is 79.2 degrees.

And since \(m\angle{AOB}=\widehat{AB}\).

Therefore the measure of arc AB is 79.2 degrees.

That means option A \(79.2^{\circ}\) is correct option.

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In the above scenario, The point that B is transformed to are coordinates (10, 6). This means that it is translated to the right by 9 units and upwards by 5 units.

In order to derive the new location of point B after the transformation by matrix A, we need to perform matrix multiplication of A with the column vector representing point B.

\(\left[\begin{array}{cc}8&2\\7&1\\\end{array}\right]\)   = \(\left[\begin{array}{cc}1\\1\\\end{array}\right]\)

\(\left[\begin{array}{cc}(8 * 1) + &(2 *1)\\(7 *1)&(1 *1)\\\end{array}\right]\) =  \(\left[\begin{array}{cc}10\\6\\\end{array}\right]\)

As a result, the converted point B is situated at (10, 6). As a result of the transformation provided by matrix A, point B has been translated to the right by 9 units (from x = 1 to x = 10) and upwards by 5 units (from y = 1 to y = 6).

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The exponential form of 6 × 6, is written as: 6².

Repeated multiplication involving base exponents and base can be written in exponential form, such as: a × a × a = a³.

Given the expression, 6 × 6, the number 6 will be the base while 2 will be the exponent if we want to express it in exponential form. Therefore:

6 × 6 = 6².

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Answer:

-5° < x < 26°

Step-by-step explanation:

The given parameters are;

The length of the rays forming the 62° = The length of the rays forming the 2·x + 10°

The length of the side opposite the 62° = 15

The length of the side opposite the 2·x + 10° angle = 14

Therefore, by construction, we have;

2·x + 10° < 62°

2·x  < 62° - 10°

2·x  < 52°

x < 52°/2

x < 26°

Also, we have that the angle 2·x + 10°  is real, therefore;

0 < 2·x + 10°

-5 < x

Which gives;

-5° < x < 26°.

Answer:

the answer is 295 students

Answer:

363-94+26 = 295 students

On solving the provided questions, we can say that Probability, P( -1.6 \(\leq\) Z \(\leq\) 1.6 ) = 89.04%

Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a complete set of equally likely possibilities that result in a certain occurrence compared to the total number of outcomes.

he diameter of the ball bearings varies according to a distribution that is approximately Normal

mean 11.5 mm and standard deviation 0.05 mm

the probability that the difference in the diameters of the two ball bearings is less than 0.06 mm

Probability, P( -1.6 \(\leq\) Z \(\leq\) 1.6 ) = 89.04%

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Answer:

240

Step-by-step explanation:

25% =1/4

if 1/4 of class is 60, the class have 60x4 students

Answer:

The polynomial 2x^3 + x^2 - 2x - 1 can be factored as (x + 1)(2x^2 - x - 1).

Step-by-step explanation:

To find the factors of the polynomial 2x^3 + x^2 - 2x - 1, we can use synthetic division or long division to divide the polynomial by the factor x + 1.

Using synthetic division:

-1 | 2 1 -2 -1

| -2 1 1

___________________

2 -1 -1 0

The result of the division is 2x^2 - x - 1.

So, the polynomial 2x^3 + x^2 - 2x - 1 can be factored as (x + 1)(2x^2 - x - 1).

Answer:

Step-by-step explanation:

Solution

verified

Verified by Toppr

given, 2x

3

+x

2

−2x−1

=x

2

(2x+1)−1(2x+1)

=(x

2

−1)(2x+1)

=(x+1)(x−1)(2x+1)

Answer:

yeah I would say deal #1 is better

Answer:

16

Step-by-step explanation:

16 × 16 = 256

√256 = 16

hope this helps...

Answer:

long = 8.66

Step-by-step explanation:

pythagorean theorem

short squared + long squared = hypotenuse squared

25 + long squared = 100

long squared = 75

square root of long squared = square root of 75

long = square root of 75

long = 8.66025403784

ANSWER

• slope: 3

• y-intercept: 6

• equation: y = 3x + 6

EXPLANATION

The slope-intercept form of the equation of a line is,

Where m is the slope and b is the y-intercept.

The slope of a line passing through points (x₁, y₁) and (x₂, y₂) is,

In this case, to find the slope we have to take two pairs of values from the table. Using the points (1, 9) and (0, 6) we have,

Hence, the slope is 3.

The y-intercept is the value of y where the line intersects the y-axis. This always occurs at x = 0, so the y-intercept is shown in the table as the value of y for x = 0,

Hence, the y-intercept is 6.

Finally, we have to substitute m and b with the slope and y-intercept found to write the equation for this function. Hence, the equation is y = 3x + 6.

5a⁶ x e⁷

Okay, here are the steps to solve this problem:

* There are 10 sections on the spinner, 3 of which are green and 7 of which are yellow.

* So there is a 3/10 = 0.3 probability that the spinner will land on green.

* A fair coin has a 1/2 probability of landing on heads.

* For the spinner and coin toss to both have the desired outcome (green and heads), we multiply their individual probabilities:

* 0.3 * 1/2 = 0.15

Therefore, the probability that the spinner lands on green and the coin toss is heads is 0.15.

I could offer a credit of $66.6.

A percentage is a number or ratio expressed as a fractin of 100. It is often denoted using a percent "%" sign.

The given bill of customer =  $333.0.

Credit can be given to customer = 20%

Now,I can credit a customers account up to 20% of full amount due

For credit off to be offer,we need to find 20% of $333

⇒  20% of $333 =  20/100*333

⇒  20% of $333 =  $66.6

Hence, I could offer a credit of $66.6

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Answer:

(a)0.34

(b)0.5

(c)0.185

(d)0.544

(e)0.655

(f)Not disjoint events

(g)Independent events

Step-by-step explanation:

The summary of education levels among party lines is given in the table below

\(\left|\begin{array}{c|ccc}&$Democrat &$Republican &$Total\\--&--&--&--\\$College Degree &37 &31 &68\\$No College Degree& 63 &69 &132\\--&--&--&--\\$Total &100 &100& 200\end{array}\right|\)

(a)Probability a randomly selected participant has a college degree.

The probability a randomly selected participant has a college degree is:

\(=\dfrac{68}{200} =0.34\)

(b)The probability that a randomly selected participant is a democrat.

\(=\dfrac{100}{200} =0.5\)

(c)The probability that a randomly selected participant is a democrat and has a college degree.

\(=\dfrac{37}{200} =0.185\)

(d)Probability of being a democrat given that the participant has a college degree.

\(=\dfrac{37}{68} \approx 0.544\)

(e)The probability of begin a democrat or having a college degree

Number of Democrats =100

Number of Those with College degrees = 68

Number of democrats with College degrees =37

Therefore:

Probability of begin a democrat or having a college degree

\(=\dfrac{100+68-37}{200} \\=\dfrac{131}{200}\\\\=0.655\)

(f)The event of having a college degree and being a democrat are not disjoint events as there are some democrats who have a college degree.

(g)The event of having a college degree and being a democrat are independent events as the outcome of one does not affect the other.

Answer:

a straight line i think is always 180 so i think the answer is A. 81

Step-by-step explanation:

Answer:

10°C

Step-by-step explanation:

F = 50

C = 5/9 * (F - 32) = 5/9 * (50 - 32) = 5/9 * 18 = 5 * 2 = 10

The linear function which represents a slope of -3 as required in the task content is; A two column table with five rows. The first column, x, has the entries, negative 5, negative 1, 3, 7. The second column, y, has the entries, 32, 24, 16, 8.

It follows that the task requires that a linear function whose slope, i.e rate of change is -2 is to be determined.

Since slope is the rate of change in y with respect to x;

The required linear function is; A two column table with five rows. The first column, x, has the entries, -5, -1, 3, 7. The second column, y, has the entries, 32, 24, 16, 8 so that we have;

Slope = (24 - 32) / (-1 -(-5)) = -8 / 4 = -2.

Remarks: The complete question is such that the required slope is -2.

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Answer: the second option

Step-by-step explanation:

i took the assignment

Step-by-step explanation:

-149

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Considering a total budget of $1,000,000, the amount allotted for salary is given as follows:

$500,000.

The amount allotted for salary is obtained applying the proportions in the context of the problem.

A circle graph, also known as a pie chart, is used to represent data as a circle divided into sectors, where each sector represents a portion of the whole. The size of each sector is proportional to the percentage of the whole that it represents.

This means that 50% of the entire budget is spent with salary, hence the amount spent for salary is given as follows:

0.5 x 1,000,000 = $500,000.

The total budget is given as follows:

$1,000,000.

The circle graph is given by the image presented at the end of the answer.

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9514 1404 393

Answer:

  2.  4

Step-by-step explanation:

The "initial value" is the y-value corresponding to x=0. That is given in the first line of the table.

The initial value is 4.

\(x = 3.5 \\ solution \\ the \: chord \: of \: same \: length \: has \: same \\ distance \: from \: center \\ so \\ 3x + 1 = x + 8 \\ or \: 3x - x = 8 - 1 \\ or \: 2x = 7 \\ or \: x = \frac{7}{2} \\ x = 3.5 \\ hope \: it \: helps\)

Based on the trend of the increase in children born out of wedlock, if this trend keeps increasing, the year with 67% of babies born out of wedlock will be 2055 .

In 1990, the 28% of children were born out of wedlock and this trend was increasing by 0.6% per year.

If the trend continues, the number of years till 67% of children born out of wedlock will be:

= (67%  - 28%) / 0.6%

= 65 years

The year will be:

= 1990 + 65

= 2055

The first part of the question is:

According to the National Center for Health Statistics, in 1990, 28% of babies in the United States were born to parents who were not married. Throughout the 1990s, this percentage increased by approximately 0.6 per year.

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Answer:

396

Step-by-step explanation:

It's a square.

That means that all four sides are equal.

So the two expressions you have been given are equal.

2.5x + 76.5 = 12x - 9            Subtract 2.5x from both sides.

-2.5x               -2.5x  

          76.5 = 9.5x - 9          Add 9 to both sides

           9                 9

          85.5 = 9.5x              Divide by 9.5

       85.5/9.5 = x

x = 9

That is just the value for x. It is not the answer

Side = 12x - 9

Side = 12*9 - 9

Side = 108 - 9

Side = 99

The perimeter = 4 * Side

The perimeter = 4 * 99

Perimeter = 396

Answer:

About 34% of the weights are between 3280 grams and 3720 grams.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 3500 grams, standard deviation of 500 grams.

This means that \(\mu = 3500, \sigma = 500\)

About 34% of the weights are between what two values?

Between the 50 - (34/2) = 33rd percentile and the 50 + (34/2) = 67th percentile.

33rd percentile:

X when Z has a p-value of 0.33, so X when Z = -0.44.

\(Z = \frac{X - \mu}{\sigma}\)

\(-0.44 = \frac{X - 3500}{500}\)

\(X - 3500 = -0.44*500\)

\(X = 3280\)

67th percentile:

X when Z has a p-value of 0.67, so X when Z = 0.44.

\(Z = \frac{X - \mu}{\sigma}\)

\(0.44 = \frac{X - 3500}{500}\)

\(X - 3500 = 0.44*500\)

\(X = 3720\)

About 34% of the weights are between 3280 grams and 3720 grams.

Answer:

The answer is in the image.

Answer:

x ≥ 18

Step-by-step explanation:

This can be simplified by changing the sign on the 12 value. This is because you are subtracting a negative number and two negatives make a positive (- - = +):

x (--12) ≥ 30

x + 12 ≥ 30

Subtract 12 from both sides:

x + 12 - 12 ≥ 30 - 12

x ≥ 18

Hope this helps!

part a.

There is  a 49.1% chance that HRC finds a sample mean between $477 and $527.

part b.

There is a 20.9% chance that the sample mean falls between $492 and $512.

The standard error (SE) of the sample mean.

SE = σ / √(n)

σ = $80 and n = 68.

SE = 80 / √(68)

z1 = (X1 - μ) / SE

z2 = (X2 - μ) / SE

for first scenario:

X1 = $477, X2 = $527, and μ = $499.

z1 = (477 - 499) / SE

z2 = (527 - 499) / SE

For the range $477 to $527:

z1 = (477 - 499) / SE

z2 = (527 - 499) / SE

z1 = -0.275

z2 = 0.35

Probability 1 =  0.4909 = 49.1%

We have a 49.1% chance that HRC finds a sample mean between $477 and $527.

For the second scenario

X1 = $492, X2 = $512, and μ = $499.

z1 = (492 - 499) / Standard Error

z2 = (512 - 499) / SE

We have a 20.9% chance that the sample mean falls between $492 and $512.

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Answer: 66 possible combinations.

Step-by-step explanation:

To have a positive product we have 3 situations.

The 4 numbers are positive:

if the "order" of the selection does not matter, then we have only one solution here:

1, 2, 3 and 4.

Second case, we have two negative numbers and two positive numbers.

Here we can use the fact that in a group of N objects, the number of different combinations of K objects (where K ≤ N) is:

\(C = \frac{N!}{(N -K)!*K!}\)

Here we have 5 negative numbers and we want to make groups of 2, so the possible combinations are:

\(C = \frac{5!}{3!*2!} = \frac{5*4}{2*1} = 2*5 = 10\)

And we have exactly the same for the other two positive numbers, but in this case we have N = 4 and  K = 2.

\(C = \frac{4!}{2!*2!} = 6\)

The total number of combinations is the product of those two:

C = 10*6 = 60 combinations

Now, the last option is that the 4 numbers are negative numbers, so here we have 5 negative numbers and we want to make groups of 4.

\(C = \frac{5!}{1!*4!} = 5\)

So in total, we have: 1 + 60 + 6 = 66 possible combinations.