which is the point-slope equation of a line with a slope of 1/2 that contains (-4,7)

a) The value of z corresponding to an area of 0.1210 can be found using statistical tables or a statistical calculator.

b) Similarly, the value of z corresponding to an area of 0.9898 can be obtained using statistical tables or a statistical calculator.

c) To find the value of z at the 45th percentile, we can use the standard normal distribution table or a statistical calculator.

a) To find the value of z corresponding to an area of 0.1210, you can use a standard normal distribution table or a statistical calculator. By looking up the area of 0.1210 in the table, you can determine the corresponding z-value. For example, if you find that the z-value for an area of 0.1210 is -1.15, then -1.15 is the value of z corresponding to the given area.

b) Similarly, to find the value of z corresponding to an area of 0.9898, you can refer to a standard normal distribution table or use a statistical calculator. Find the z-value that corresponds to the area of 0.9898. For instance, if the z-value for an area of 0.9898 is 2.32, then 2.32 is the value of z corresponding to the given area.

c) To find the value of z at the 45th percentile, you can use a standard normal distribution table or a statistical calculator. The 45th percentile corresponds to an area of 0.4500. By finding the z-value for an area of 0.4500, you can determine the value of z at the 45th percentile. For example, if the z-value for an area of 0.4500 is 0.125, then 0.125 is the value of z at the 45th percentile.

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Answer:

6/5

Step-by-step explanation:

just flip it to get your answer

Answer: 200 miles

Step-by-step explanation:

Given

Company  A charges \(\$35\) per day and \(\$0.10\) per mile extra

While company B charges \(\$25\) per day and \(\$0.15\) per mile extra

Suppose a car run x miles in a day in both the cases

So, Cost for Car A=35+0.1x

Cost for car B=25+0.15x

when the price is equal

35+0.1x=25+0.15x

10=0.05x

x=200 miles

Answer:

use tiger math and use the camera feature it shows steps also I know teachers can be a pain in the butt i go to high school this year so yeah

The statement is true that 95% of all possible sample means will fall above 76.71.

We know that the sample mean can be calculated using the formula;

\($\bar{X}=\frac{\sum X}{n}$\).

Given that the mean is 80 and the variance is 400 for the population and the sample size is 100. The standard deviation of the population is given by the formula;

σ = √400

= 20.

The standard error of the mean can be calculated using the formula;

SE = σ/√n

= 20/10

= 2

Substituting the values in the formula to get the sampling distribution of the mean;

\($Z=\frac{\bar{X}-\mu}{SE}$\)

where \($\bar{X}$\) is the sample mean, μ is the population mean, and SE is the standard error of the mean.

The sampling distribution of the mean will have the mean equal to the population mean and standard deviation equal to the standard error of the mean.

Therefore,

\(Z=\frac{76.71-80}{2}\\=-1.645$.\)

The probability of the Z-value being less than -1.645 is 0.05. Since the Z-value is less than 0.05, we can conclude that 95% of all possible sample means will fall above 76.71.

Conclusion: Therefore, the statement is true that 95% of all possible sample means will fall above 76.71.

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Answer:

Given that the equation of the revenue is R=2x2+55x+10 and the equation of the cost is C=2x2 – 15x – 40, you will get the profit by subtracting the revenue from the cost: R-C=P. Therefore, P=(2x2+55x+10)-(2x2 – 15x – 40). You will get P=70x+50 where x is is the number of cellphones sold. If 240 cellphones are sold, then the profit is 16850 dollars.

Step-by-step explanation:

The profit expression is 70x + 50 and the profit if 240 cell phones are sold is $16,850

where,

x = number of cell phones sold.

Profit = Revenue - cost

= (2x² + 55x + 10) - (2x² – 15x – 40)

= 2x² + 55x + 10 - 2x² + 15x + 40

Profit = 70x + 50

Profit = 70x + 50

= 70(240) + 50

= 16,800 + 50

= $16,850

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The value of the integral is 32.

The integral you want to evaluate is ∫∫∫E(xz−y³)dV, where E = (x, y, z) with -1≤x≤3, 0≤y≤4, and 0≤z≤1.

To evaluate the integral using three different orders of integration, we will proceed with the following steps:

1. Order: dxdydz
  ∫(from -1 to 3) ∫(from 0 to 4) ∫(from 0 to 1) (xz - y³) dz dy dx

2. Order: dxdzdy
  ∫(from -1 to 3) ∫(from 0 to 1) ∫(from 0 to 4) (xz - y³) dy dz dx

3. Order: dydxdz
  ∫(from 0 to 4) ∫(from -1 to 3) ∫(from 0 to 1) (xz - y³) dz dx dy

After solving these integrals, you will find that all three orders of integration yield the same result: the value of the integral is 32.

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I think its c i don't know

maybe it will help :>

Answer:

(a)Yes, she would make a profit of $300

(b)4 years

Step-by-step explanation:

The probability distribution table of Claire's profit is presented below.

\(\left|\begin{array}{c|c|c|c|c}$Profit, x&-\$10000&\$0&\$5000&\$8000\\P(x)&0.2&0.4&0.3&0.1\end{array}\right|\)

(a)Expected Profit = (-10000 X 0.2)+(0 x 0.4)+(5000 X 0.3)+ (8000 X 0.1)

=$300

Claire should invest in the company as she is expected to make a profit of $300.

(b)If Claire’s initial investment is $1,200 and the expected value for the new business stays constant

$1200/$300=4

Therefore, it will take her 4 years to earn back her initial investment.

Answer:

When working with fractions it's always easiest if all the numbers have the same denominator. So let's start there.

\(\frac{2}{3}\) lb each night and \(6\) lb total. We can make \(6\) a fraction like this \(\frac{18}{3}\)

Now we divide the total amount of spaghetti by how much we use each night. This will give us the number of dinners.

Step-by-step explanation:

\(\frac{\frac{18}{3}}{\frac{2}{3}} = \frac{18}{3} * \frac{3}{2} = \frac{18}{2} = 9\) dinners

∠5 = 118

Step-by-step explanation:

If you look closely at this image, you can see that ∠6 and ∠5 together will be equal to line c.

A straight line is equal to 180 so if we do...

\(180-62\)

= 118.

∠5 will be equal to 118.

If we go even further, because vertical angles are congruent...

∠7 = 62

∠8 = 118

Answer:

\( m \angle \: 6 = 118 \degree\)

Step-by-step explanation:

\(m \angle \: 5 + m \angle \: 6 = 180 \degree.. (straight \: line \: \angle s) \\ \because \: m \angle \: 5 = 62 \degree \\ \therefore \: 62 \degree+ m \angle \: 6 = 180 \degree \\ \therefore \: m \angle \: 6 = 180 \degree - 62 \degree \\ \huge \red{ \boxed{\therefore \: m \angle \: 6 = 118 \degree}}\)

Answer:

the answer is sometimes

Step-by-step explanation:

um, I'm going to use elimination method to solve this simultaneous equation

x+2y=-6.......... equation 1

6x+2y=4........ equation 2

subtract equation 2 from equation 1

-5x = -10

x = -10/-5

x=2

substitute x=2 in equation 1

therefore equation 1 becomes

2+2y=-6

2y=-6-2

2y=-8

y=-8/2

y=-4

Answer:

2 < or equal to (t) < or equal to 1000

Step-by-step explanation:

2 is the profit of the (t) amount of t shirts so the amount should be greater than or equal too 1000 because if they have 500 shirts 500 x 2 is 1000

The domain of this function will be given by the set A[1, 500].

The end behavior of a function describes the trend of the graph if we look to the right end of the x-axis (as x approaches +∞ ) and to the left end of the x-axis (as x approaches −∞ ).

For any function y = f(x), Domain is the set of all possible values of [x] for which [y] exists. Range is the set of all values of [y] that exists for the given domain.

Given is the math club which is selling T-shirts to raise money. Each T-shirt sold represents a profit of $2. The club has a total of 500 T- shirts.

The function representing the profit by selling [x] T - shirts can be written as -

P(x) = 2x

or

y = 2x

Maximum value of y = 2x 500 = $1000

The domain of this function will be given by the set A[1, 500].

Hence, the domain of this function will be given by the set A[1, 500].

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Measuring length and width can determine if the center section is within specification. The given statement is insufficient to be determined as true or false as the statement doesn't specify the length and width of what is being measured.

Therefore, we can not provide the required answer without knowing the complete question. Hence, we need further information on the complete statement. In technical terms, specifications are a set of specifications and requirements that a product, materials, service, or system must meet. Specifications are developed to ensure that products, systems, or services are consistent, trustworthy, and meet the needs of the end-user. Therefore, specifications play a crucial role in ensuring the quality and reliability of a particular product or service. It also helps to determine whether a product or service meets the required safety and performance standards or not.

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Answer:

7.a) 5

7.b) 1/2

8. 1

Step-by-step explanation:

7.

a)

Read the points on the graph (0, 0) and (1, 5).

slope = (5 - 0)/(1 - 0) = 5/1 = 5

b)

read the points on the graph (0, 0) and (4, 2).

slope = (2 - 0)/(4 - 0) = 2/4 = 1/2

8.

Points (1, 4) and (5, 8)

slope = (8 - 4)/(5 - 1) = 4/4 = 1

Answer:

The power is 1.68 W.

Step-by-step explanation:

Voltage, V = 3 V

charge, q = 0.56 C

time, t = 1 s

Let the power is P.

P  = V q /t

P = 3 x 0.56 / 1 = 1.68 W

1) First, from the picture we see that we have two equal angles: ∠A = ∠D = 47°.

2) Secondly, We also know that the line CF bisects AD.

3) Finally, the two opposite angles of B are equal, we call these angles ∠B.

From (1)-(2)-(3) we conclude that the answer is: angle-side-angle (ASA).

For example, we have the side/line AB between angles ∠A and ∠B.

On a certain hot summer day 438 people use the public swimming pool the daily prices are 1.50 for children and 2.00 for adults three receipts for admission totals $817 how many children and how many adults swim in the public pool that day

\(c + a = 438 \\ 1.50c + 2.00a = 817\\ a = 438 - c \\ 1.50c + 2.00(438 - c) = 817 \\ 1.50c + 876 - 2.00c = 817 \\ \)

1.5c+876−2c=817

Step 1: Simplify both sides of the equation.

1.5c+876−2c=817

1.5c+876+−2c=817

(1.5c+−2c)+(876)=817(Combine Like Terms)

−0.5c+876=817

−0.5c+876=817

Step 2: Subtract 876 from both sides.

−0.5c+876−876=817−876

−0.5c=−59

Step 3: Divide both sides by -0.5.

\(c = \frac{ - 59}{ - 0.5} \)

c=118

in the first formula

\(a = 438 - c \\ a = 438 - 118 \\ a =320\)

On a certain hot summer day 438 people use the public swimming pool the daily prices are 1.50 for children and 2.00 for adults three receipts for admission totals $817 how many children and how many adults swim in the public pool that day

\(c + a = 438 \\ 1.50c + 2.00a = 817\\ a = 438 - c \\ 1.50c + 2.00(438 - c) = 817 \\ 1.50c + 876 - 2.00c = 817 \\ \)

1.5c+876−2c=817

Step 1: Simplify both sides of the equation.

1.5c+876−2c=817

1.5c+876+−2c=817

(1.5c+−2c)+(876)=817(Combine Like Terms)

−0.5c+876=817

−0.5c+876=817

Step 2: Subtract 876 from both sides.

−0.5c+876−876=817−876

−0.5c=−59

Step 3: Divide both sides by -0.5.

\(c = \frac{ - 59}{ - 0.5} \)

c=118

in the first formula

\(a = 438 - c \\ a = 438 - 118 \\ a =320\)

Answer:

4.32 francs

Step-by-step explanation:

45p × £/(100p) × 9.6 francs / £ = 4.32 francs

Step-by-step explanation:

Normal distribution, also known as the Gaussian distribution, is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.

Answer: 816

Step-by-step explanation:

h(3) = 1248 - 160(3) + 16(3)

h(3)= 1248 - 480 + 48

h(3)= 816

The measure of ∠MCJ is 130° because ∠MCJ and ∠CMB are alternate interior opposite angles.

According to the question,

We have the following information:

We have a figure where angle MCJ is 130°.

Now, we can extend the two given lines as imaginary lines. After extending the lines, we will find that these lines are parallel and the lines are being cut by another line.

We know that in this case the alternate interior opposite angles are equal and the sum of consecutive alternate interior angles is 180°.

Now, ∠MCJ and ∠CMB are alternate interior opposite angles and thus they are equal.

Hence, the measure of ∠MCJ is 130° because ∠MCJ and ∠CMB are alternate interior opposite angles.

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(a) Therefore, the range of possible values for "x" is 1 to 5. (b) Summing up these values, we get 5 + 10 + 10 + 5 + 1 = 31.  Therefore, there are 31 different ways this can happen

To find the number of different ways this can happen, we can consider the number of internet friends each person can have. Since each person has the same number of internet friends, let's denote that number as "x". We can then create equations based on the given information:

1. Some, but not all, of them are internet friends with each other: This means that at least two people are internet friends with each other, but not everyone is friends with each other. This implies that the minimum number of internet friends any person can have is 1, and the maximum number is 5 (since there are 6 people in total).

Therefore, the range of possible values for "x" is 1 to 5.

2. None of them has an internet friend outside this group: This means that each person's internet friends must be within this group of 6 people. So, the number of internet friends each person can have is limited to the remaining 5 people.

To find the number of different ways this can happen, we need to sum up the possible values of "x" and calculate the corresponding combinations. For "x = 1", we choose 1 person out of 5 remaining people, giving us C(5, 1) = 5. For "x = 2", we choose 2 people out of 5 remaining people, giving us C(5, 2) = 10.

Similarly, for "x = 3", "x = 4", and "x = 5", we have C(5, 3) = 10, C(5, 4) = 5, and C(5, 5) = 1 respectively. Summing up these values, we get 5 + 10 + 10 + 5 + 1 = 31.

Therefore, there are 31 different ways this can happen

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Answer:

21.15  550 divided by 26 = 21.15.

Step-by-step explanation:

I did the work on my paper. =)

If the data of the research subjects are presented in a frequency distribution graph, a histogram-type graph should be used.

If the data are presented in a frequency distribution graph, then the type of graph that should be used is a histogram. A histogram is a type of bar graph that displays the distribution of a continuous variable by dividing the range of values into intervals, and bins, and counting the number of observations that fall within each bin.

If the academic majors were nominal a bar graph could also be used to display the frequency of each major. In a bar graph, each category would be plotted on the horizontal axis, and the frequency of students in each category would be plotted on the vertical axis.

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Answer: 219.52 inch^2

Step-by-step explanation:

Given the dimensions of rectangular papaerboard:

Length = 20inches

Width = 16inches

Area of rectangle = Length × width

Area of rectangle = 20 × 16 = 320 in^2

Area of a circle = pi*r^2

Therefore, area of semicircle = (pi*r^2) / 2

Diameter of circle = width of rectangle = 16 inches

Radius = diameter / 2 = 16 /2 = 8inches

Therefore, area of semicircle = (pi*8^2) / 2

= (3.14 × 64) / 2

= 200.96 / 2

= 100.48 inch^2

Therefore, area of paperboard left :

Area of rectangle - area of semicircle

320 - 100.48

= 219.52 inch^2

Answer:

Second choice

Step-by-step explanation:

f(x) = (1/4)(x + 4)^2 - 9

f(x) = (1/4)(x^2 + 8x + 16) - 9

f(x) = (1/4)x^2 + 2x + 4 - 9

f(x) = (1/4)x^2 + 2x - 5

(1/4)x^2 + 2x - 5 =

= (1/2 x + 5)(1/2 x - 1)

Answer: Second choice