A line contains the points (6, 8) and (1,-2).
What is the slope of the line in simplified form?

Enter your answer in the box

Answer: 50 square units

Step-by-step explanation:

Answer: 1/3 ± √29/3i

Step-by-step explanation:

To solve these equations, move everything to one side:

3x^2-2x+10 = 0

This cannot be factored, so use the quadratic formula:

x = -(-2) ± √( (-2)^2 - 4(3)(10)) / 2

x = (2 ± √4 - 120) / 6

x = 2 ± (√116 • i) / 6

x = 2 ± (2√29•i) / 6

x = 1/3 ± (√29/3)i

The possible price for the items if the store sells $600 is (c) $40

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

The supply-demand graph

If the store sells $600, then there is a supply worth of $600

The equation of the supply line is calculated as

y = mx + c

Where

c = y = 0

i.e. c = 100

So, we have

y = mx + 100

Using another point on the graph, we have

30m + 10 = 400

So, we have

m = 13

This means that

y = 13x + 100

For a supply of 600, we have

13x + 100 = 600

So, we have

13x = 500

Divide by 13

x = 38.4

Approximate

x = 40

Hence, the possible price for the items is (c) $40

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Answer:

Its the first graph ok kid

Step-by-step explanation:

Answer:

Andrés

Step-by-step explanation:

Andrés porque el 10% es .10 = 10 centavos

The sample space for the two mornings at the stop light would be D. {red/red, red/yellow, red/green, yellow/red, yellow/yellow, yellow/green, green/red, green/yellow, green/green}.

In probability theory, the sample space constitutes the collection of all potential results that could ensue from an experiment. Symbolized by S, it encompasses every plausible outcome that can arise when such a test is conducted.

The sample space would therefore be :
{red/red, red/yellow, red/green, yellow/red, yellow/yellow, yellow/green, green/red, green/yellow, green/green}

This includes all the possible lights that could be seen on the two mornings by Julie.

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Let's write 746,936,015 in expanded form:

7 * 100,000,000

4 * 10,000,000

6 * 1,000,000

9 * 100,000

3 * 10,000

6 * 1,000

1 * 10

5 * 1

Now, we can summarize:

7 * 100,000,000 + 4 * 10,000,000 + 6 * 1,000,000 + 9 * 100,000 + 3 * 10,000 + 6 * 1,000 + 1 * 10 + 5 * 1

Answer:

38,500 pounds

Step-by-step explanation:

1 ton = 2000 pounds

Answer:The probability as a decimal to the nearest hundredth is 0.89

Step-by-step explanation:

i just did it and got it right

The probability that the next customer will pay with cash as a decimal to the nearest hundredth is 0.89

"Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are."

"A decimal is a fraction written in a special form. Instead of writing \(\frac{1}{2}\), for example, you can express the fraction as the decimal 0.5, where the zero is in the ones place and the five is in the tenths place."

We have

Customers paid cash = 93

Customers used debit card = 7

Customers used credit card = 5

Number of favorable outcomes n(S)

= 93

Total number of outcomes n(E)

= 93+7+5

= 105

The probability that the next customer will pay with cash

= \(\frac{n(S)}{n(E)}\)

= \(\frac{93}{105}\)

= \(0.885\)

= 0.89 (nearest hundredth)

Hence, the probability that the next customer will pay with cash as a decimal to the nearest hundredth is 0.89.

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Every three candy bars cost a dollar.

Divide 25 by three.  

$8.33

Step-by-step explanation:

2x + 3z = 17

3x + 4z = 24

FYI - this is not a situation, where I would choose the elimination method ("equation arithmetic") to solve the system of equations, because none of the terms is the same or numerically "compatible", so that I need to multiply only one equation with an integer before adding or subtracting the equations.

basically it is very similar to fraction arithmetic. but instead of bringing 2 fractions to the same denominator, we need to bring one of the terms to the same factor.

so, let's bring both equations to 6x terms (6 being the smallest common multiple of 2 and 3) and then subtract the second from the first equation :

6x + 9z = 51

- 6x + 8z = 48

----------------------

0 + z = 3

=> e.g. via the first original equation :

2x + 3×3 = 17

2x + 9 = 17

2x = 8

x = 4

Answer:

h = 65, g = 115, m = 49, k = 131

Step-by-step explanation:

h and 115 are supplementary angles, so 180 - 115 is 65 degrees.

g and 115 are vertical angles, so both should be 115 degrees.

m and 131 are supplementary angles, so 180 - 131 = 49 degrees.

k and 131 are vertical angles, so both should be 131 degrees.

Answer:

46.21%

Step-by-step explanation:

The area of the table top is 1.3 x 1.3 = 1.69 m²

The area of the circular tablecloth is given by πr² where r is the radius of the table cloth

Give diameter of tablecloth is 2m, radius r = 2/2 = 1 m

Area of tablecloth = π · 1² = π

So the excess area of the tablecloth which overhangs

= π - 1.69 = 1.45 m²  (taking π = 3.14)

So the fraction of the tablecloth that overhangs
= Excess area of tablecloth ÷ total area of tablecloth
= 1.45 /π

= 0.4621

As a percentage this would be
0.4621 x 100

= 46.21%

Answer:

Step-by-step explanation:

We know that:

Work:

Hence, the value of PR is 21 ft.

Hoped this helped.

\(BrainiacUser1357\)

Answer:

A) 0.8131 ≈ 0.81

B) 0.6322 ≈ 0.63

C)  0.7639 ≈ 0.77

Step-by-step explanation:

A)

Total number of  units

= 55 + 32 + 17 + 3

 = 107

hence the probability that the failure involves a gas leak

= ( 55 + 32 ) / 107

= 0.8131

B) probability that there is evidence of electrical failure given tat there is a gas leak

P ( A / B ) = \(\frac{P(A n B)}{P(B)}\)

P( A∩B ) = 55/107 = 0.5140

P ( B ) = ( 55 + 32 ) / 107 = 0.8131

hence P ( A / B ) = 0.5140 / 0.8131 = 0.6322

A = failure due to electrical

B = failure due to gas leak

C)  Probability of a gas leak given that there is evidence of electrical failure

P ( B / A ) =  \(\frac{P(BnA)}{P(A)}\)

P ( B ∩ A ) = 0.5140

P( A ) = ( 55 + 17 ) / 107  = 0.6729

hence P ( B / A ) = 0.5140 / 0.6729 = 0.7639

a.) The independent variable is the different types of music

b.) The dependent variable is the impact of listening felt by the rats

c.)An extraneous variable is the length of the maze.

d.) The control group is the rat in the quite room while the experimental groups are the ones in the maze listening to classical music, and listening to heavy metal music.

An independent variable is defined as the type of variable that cannot be manipulated by a researcher and isn't affected by what is being measured.

A dependent variable is the variable that can be manipulated by a researcher and is affected by what is being measured.

For question a.)

The independent variable is the different types of music

For question b.)

The dependent variable is the impact of listening felt by the rats

For question c.)

An extraneous variable is the length of the maze.

For question d.)

The control group is the rat in the quite room while the experimental groups are the ones in the maze listening to classical music, and listening to heavy metal music.

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Answer:   A and D

Step-by-step explanation:   40 x 25,000 = 1,000,000

Answer: A and C

Step-by-step explanation:
Because 40x25000 equals 1 million

Answer: $26.52

Step-by-step explanation:

1 Box of cereal is $2.37 so 6 boxes is equal to 6 * $2.37 = $14.22

1 Pound of apples is $4.10 so 3 pounds is equal to 3 * $4.10 = $12.30

Total = $14.22 + $12.30 = $26.52

Answer: £23,360

Step-by-step explanation:

You can use algebra to solve this.

Assume that the original investment is x.

In the beginning of 2015 the balance had increased by 2.5% which is denoted as:

= 1.025x

Carol then withdrew a thousand:

= 1.025x - 1,000

This value then increased by 2.5% again by the beginning of 2016:

= 1.025 * (1.025x - 1,000)

Relevant expression therefore is:

1.025 *(1.025x - 1,000) = 23,517.60

1.025x - 1,000 = 23,517.60/1.025

1.025x = ‭22,944‬ + 1,000

x = 23,944/1.025

x = £23,360

Answer:

total = 2.8 + 3x

x is the price of the candy bars

Answer:

Step-by-step explanation:

3:7 = ___: 49

3 : 7 = x : 49

x = 3 × 49 ÷ 7

x = 147 ÷ 7

x = 21

3 : 7 = 21 : 49  (your answer)

Answer: If you mean to multiply, the answer is 8/15.

Step-by-step explanation:

Multiply numerator by numerator and denominator by denominator.

2 x 4 = 8

3 x 5 = 15

ANSWER: 8/15

Answer: 15

Step-by-step explanation:

\(\dfrac{ST}{VW} =\dfrac{SR}{VU} \\\\ST=21\\VW=30\\SR=21\\VU=42\\\\\dfrac{x}{30} =\dfrac{21}{42} \\\\x \times 42=21 \times 30\\x \times 42=630\\x \times 42 \div 42=630 \div 42\\x=15\)

1716 is the probability that a sophomore, the second is a freshman, and the third is a sophomore.

What is probability explained with an example?

A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty. The likelihood that an event will occur increases with its probability.

                        The flip of a fair (impartial) coin serves as a straightforward illustration. The probability of an event occurring, or P(E), is defined as the ratio of the number of favorable outcomes to the total number of outcomes in the probability formula.

The total number of ways in which 3 students can be arranged for speech out of total 13 students is,

       P(13,3) = 13 * 12 * 11

                 = 1716

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Answer:

The answer would be 48

Sydney is 48

Devaughn is 62

48 + 62 = 110

Okays so you start by doing the equation 110 - 14 = 96

then dividing 96 by 2 (96 ÷ 2) which is 48

add 14 to 48 and you will get 62. We can automatically assume that sydney is 48 because when you add 48 to 62, you will get 110. I hope that this helps! ^‿^

Answer:

Both would work.

Step-by-step explanation:

If we call Jackie's apples a, then Mark has a - 4 apples. Therefore, together they have a + (a - 4) apples, and we know that they have a total of 12 apples so we can write a + (a - 4) = 12 to represent the situation. On the other hand, if Mark has a apples, then Jackie has a + 4 apples, so we can also write a + (a + 4) = 12 to represent the situation as well. Therefore, both of the equations would work. Hope this helps!

Answer:

both

Step-by-step explanation:

I got it right on the quiz

Answer:

0.6864 = 68.64% probability out of the 8 new cars it just received that, when each is tested, no more than 2 of the cars have defective radios

Step-by-step explanation:

The cars are chosen without replacement, so the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

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

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

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:

\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

48 new cars being shipped to local dealerships, corporate reports indicate that 12 have defective radios installed.

This means that \(N = 48, k = 12\)

8 cars received.

This means that \(n = 8\)

What is the probability out of the 8 new cars it just received that, when each is tested, no more than 2 of the cars have defective radios

This is

\(P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)\)

In which

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

\(P(X = 0) = h(0,48,8,12) = \frac{C_{12,0}*C_{36,8}}{C_{48,8}} = 0.0802\)

\(P(X = 1) = h(1,48,8,12) = \frac{C_{12,1}*C_{36,7}}{C_{48,8}} = 0.2655\)

\(P(X = 2) = h(2,48,8,12) = \frac{C_{12,2}*C_{36,6}}{C_{48,8}} = 0.3407\)

\(P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0802 + 0.2655 + 0.3407 = 0.6864\)

0.6864 = 68.64% probability out of the 8 new cars it just received that, when each is tested, no more than 2 of the cars have defective radios