A line passes through the point (-8, -4) and has a slope of 5/2. Write and equation in slope intercept form for this line.

Answer:

4 teachers for 28 students

Step-by-step explanation:

28/7 = 4

Answer:

86.

Step-by-step explanation:

nth term = a1 + d(n - 1) so here we have:

12the term = -2 + 8( 12 - 1)

= -2 + 88

= 86.

Answer:

Answer is in the photo so you have so look in this give wribsite

Answer:

function

Step-by-step explanation:

y = 6x^2 +x+7

This is an upward facing parabola

This relation will pass the vertical line test.

This relation is a function

Answer:

35 degrees

Step-by-step explanation:

the 35 degrees in blue and the orange x angle are corresponding angles

Answer:

$28.8

Step-by-step explanation:

6x32=192

15% of 192 is 28.8

Answer:

a. y= 4 + 0.50x  b. y= 1.00x

Step-by-step explanation:

Answer:

a. y = 0.5x +4  b. y = x

Step-by-step explanation:

a. Tom’s Taxis charges a fixed rate of $4 per ride plus $0.50 per mile.

m  = $0.50 per mile

b = $4 per ride

y = 0.5x +4

b. Carla’s Cabs does not charge a fixed rate but charges $1.00 per mile.

m  = $1 per mile

b = $0 per ride

y = x

Answer:

Center is (7,-6)

Our radius is 4

Step-by-step explanation:

Subtract 69 to both sides

Complete the square of the x terms and y terms.

[tex] {x}^{2} + 14x[/tex]

[tex] {y}^{2} - 12y[/tex]

(To complete the square divide the coefficient by 2 and square it).

[tex] (\frac{14}{2} ) {}^{2} = 49[/tex]

[tex]( \frac{ - 12}{2} ) {}^{2} = 36[/tex]

Add those terms to the full equation. Add 36 and 49 to the right side as well

[tex] {x}^{2} + 14x + 49 + {y}^{2} - 12y + 36 = 16[/tex]

Simplify the x and y terms into a binomial.

[tex](x + 7) {}^{2} + (y - 6) {}^{2} = 16[/tex]

Set the left side equal to zero separately to find the center and take the square root of the right side to find the radius.

[tex]x + 7 = 0[/tex]

[tex]x = - 7[/tex]

[tex]y - 6 = 0[/tex]

[tex]y = 6[/tex]

[tex]16 = {x}^{2} [/tex]

[tex]4 = x[/tex]

So our center is (-7,6)

Our radius is 4.

Answer:

$21 is the correct answer

Answer:

Step-by-step explanation:

First we have to find 1 percent of 35, and then we will multiply it by 40. So: 35/100 = 0.35

0.35 (40) = 14

35 - 14 = 21

So, the discounted price is now $21.

Answer:

x = 14

Step-by-step explanation:

The figure shows two chords intersecting each other. Based on the Theorem of Intersecting chords, the product the segments of each chord is equal to the product of the other. This means:

24*x = 21*16

24x = 336

Divide both sides by 24

24x/24 = 336/24

x = 14

Answer:

Step-by-step explanation:

Assuming that your figure is a triangle, we should keep in mind that all the interior angles of a triangle add up to 180°, always.

So, we have the values of angles x and y as 90° and 64°.

90 + 64 = 154°  ⇒ Add them up.

Now, subtract 154 from 180 to get ∠z.

180 - 154 = 26°

Answer:

Consecutive angles are supplementary is not character of parallelograms

Answer:

1. 0.2422 = 24.22% probability that a hamburger selected at random will weigh between 7.76 and 8.02 ounces

2. 0.1056 = 10.56% probability that a hamburger selected at random with less than 7.52 ounces.

Step-by-step explanation:

Normal Probability Distribution:

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

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

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 pvalue, we get the probability that the value of the measure is greater than X.

A sample of 500 hamburgers reveals the average precooked weight to be 8.02 ounces, with a standard deviation of .4 ounce.

This means that [tex]\mu = 8.02, \sigma = 0.4[/tex]

1. What is the probability that a hamburger selected at random will weigh between 7.76 and 8.02 ounces?

This is the pvalue of Z when X = 8.02 subtracted by the pvalue of Z when X = 7.76. So

X = 8.02

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{8.02 - 8.02}{0.4}[/tex]

[tex]Z = 0[/tex]

[tex]Z = 0[/tex] has a pvalue of 0.5

X = 7.76

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{7.76 - 8.02}{0.4}[/tex]

[tex]Z = -0.65[/tex]

[tex]Z = -0.65[/tex] has a pvalue of 0.2578

0.5 - 0.2578 = 0.2422

0.2422 = 24.22% probability that a hamburger selected at random will weigh between 7.76 and 8.02 ounces.

2. What is the probability that a hamburger selected at random with less than 7.52 ounces?

This is the pvalue of Z when X = 7.52. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{7.52 - 8.02}{0.4}[/tex]

[tex]Z = -1.25[/tex]

[tex]Z = -1.25[/tex] has a pvalue of 0.1056

0.1056 = 10.56% probability that a hamburger selected at random with less than 7.52 ounces.

Answer: y= 4

x = 8

Step-by-step explanation:

Answer:

Volume of cube = 125 cm³

Step-by-step explanation:

Given:

Side of cube = 5 cm

Find:

Volume of cube

Computation:

Volume of cube = side³

Volume of cube = 5³

Volume of cube = 125 cm³

Answer:

54

Step-by-step explanation:

2/3(7-16)^2

2/3(-9)^2

2/3*81

54

Answer:

$2100

Step-by-step expla35 x 4 = 140 140 x 15 =  2100

Answer:

150

Step-by-step explanation:

20 percent of 150 is 30.

To check the answer... 150 times 0.2 is 30.

Answer:

150

20 percent of what number equals 30; Answer: 150.

Step-by-step explanation:

20% of what is 30?

Written using the formula: X = 30 ÷ 20%

Convert the percent to a decimal.

20% ÷ 100 = 0.2.

X = 30 ÷ 0.2.

X = 150.

So 20% of 150 is 30.

Answer:

C bc 48 is the cost of sneakers, x is the number of sneakers, that plus the tv has to be less than 1000.95

The number of oranges in the shipment can the manager predict weighing 5 ounces would be; 56.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The relations between variables, either direct or inversely proportional, can be built to find the desired measures in the problem.

Given that a grocery store receives a shipment of 700 oranges the manager randomly selects 25 oranges to weigh in that sample 2 oranges weigh 5 ounces.

Now set up a proportion;

2/25 = (x)700

Cross multiplication;

700(2)= 25(x)

1400/25=x

x=56

Therefore, the number of oranges in the shipment can the manager predicts weighing 5 ounces would be; 56.

More can be learned about proportions at;

brainly.com/question/24372153

#SPJ2

Answer:

B=9in

Step-by-step explanation:

To find the solution to this problem we will use the Pythagoras theorem.

[tex]c = {a}^{2} + {b}^{2} \\ = \sqrt{ {8}^{2} + {4}^{2} } \\ = 8.944... \\ = 9[/tex]

Answer:

your answer would be 9 in.

Step-by-step explanation:

I hope this makes your day a bit easier!!

Answer:

N, O, S, Z, which will be B

Step-by-step explanation:

Answer:

30%

Step-by-step explanation:

subtract the post-discount price from the pre-discount price

64.99 - 45.49 = 19.50

divide the answer by the original price

[tex]\frac{19.50}{64.99}[/tex] = 0.30

multiply the answer by 100

0.30 x 100 = 30%

to check:

take the original number and multiply it by the decimal form of the percentgae:

64.99 x 30% (0.30) = 19.50

take the answer and subtract it from the orginal answer

64.99 - 19.50 = 45.49

Answer:

YES SIR OR I MEANT YES MAM

Answer:

0.1471 = 14.71% probability that no more than 1 vessel transporting nuclear weapons was destroyed.

Step-by-step explanation:

Vessels are chosen without replacement, which means that we use the hypergeometric distribution to solve this question.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

Naval intelligence reports that 5 enemy vessels in a fleet of 18 are carrying nuclear weapons.

This means, respectively, that [tex]k = 5, N = 18[/tex].

9 vessels are randomly targeted and destroyed

This means that [tex]n = 9[/tex]

What is the probability that no more than 1 vessel transporting nuclear weapons was destroyed?

This is:

[tex]P(X \leq 1) = P(X = 0) + P(X = 1)[/tex]

In which

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 0) = h(0,18,9,5) = \frac{C_{5,0}*C_{13,9}}{C_{18,9}} = 0.0147[/tex]

[tex]P(X = 1) = h(1,18,9,5) = \frac{C_{5,1}*C_{13,8}}{C_{18,9}} = 0.1324[/tex]

[tex]P(X \leq 1) = P(X = 0) + P(X = 1) = 0.0147 + 0.1324 = 0.1471[/tex]

0.1471 = 14.71% probability that no more than 1 vessel transporting nuclear weapons was destroyed.

Answer:

1/8

Step-by-step explanation:

AB,AA,BB,BB,BB,BB,BB,BB,

*A IS THE students that forgot thier lunch

Answer:

75

Step-by-step explanation:

alternate interior angles are always equal, so that means 6 = 4 = 75.