Consider the line through (-1, -4) and (1, 2).
 What is the slope (m) of the line?
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Answer:

Step-by-step explanation:

these expressions are equivalent

4(2x+4)= 8x+16 after multiplying 4 with 2x+4

Answer:

yes

Step-by-step explanation:

Yes. If I substitute a number for x, the result is the same.

Answer:

Larissa takes 59.141 seconds to complete both laps.

Step-by-step explanation:

The complete time is the sum of time taken on each lap. We translate the two statements into mathematical expressions to determine the required output:

(i) She completes her first lap in 31.135 seconds:

[tex]x_{1} = 31.135\,s[/tex]

(ii) She completes her second lap 3.129 seconds faster than the first lap:

[tex]x_{2} = x_{1}-3.129\,s[/tex]

[tex]x_{2} = 31.135\,s - 3.129\,s[/tex]

[tex]x_{2} = 28.006\,s[/tex]

Then, the time taken by Larissa to complete both laps is:

[tex]\Delta x = x_{1} + x_{2}[/tex]

[tex]\Delta x = 31.135\,s+28.006\,s[/tex]

[tex]\Delta x = 59.141\,s[/tex]

Larissa takes 59.141 seconds to complete both laps.

Answer:

If a>b then the major axis of the ellipse is parallel to the x -axis (and, the minor axis is parallel to the y -axis)

if a<b then the major and minor axes of the ellipse with respect to the x and y -axes are reversed

Step-by-step explanation:

Answer: $525

Step-by-step explanation:

The formula for Simple interest is calculated as PRT where

P = Principal = $7500

R = Rate = 3.5%

T = Time = 2 years

Interest = PRT

= 7500 × 3.5% × 2

= 7500 × 0.035 × 2

= $525

Part (a)

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Work Shown:

v = u + a*t

v = 7 + 10*8 ... plug in the given values

v = 7 + 80

v = 87

==================================================

Part (b)

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Work Shown:

v = u + a*t

80 = 20 + 6*t .... plug in the given values

80-20 = 6t .... subtracting 20 from both sides

60 = 6t

6t = 60

t = 60/6 .... divide both sides by 6

t = 10

Answer:

first person is write

Step-by-step explanation:

Answer:

a) 0.1558 = 15.58% probability of finding 4 cars with the defect in a random sample of 7000 cars.

b) 0.1557 = 15.57% probability of finding 4 cars with the defect in a random sample of 7000 cars. These probabilities are very close, which means that the approximation works.

Step-by-step explanation:

Binomial distribution:

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [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]

And p is the probability of X happening.

Poisson distribution:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

In which

x is the number of sucesses

e = 2.71828 is the Euler number

[tex]\mu[/tex] is the mean in the given interval.

To use the Poisson approximation for the binomial, we have that:

[tex]\mu = np[/tex]

1 in every 2500 automobiles produced has a particular manufacturing defect.

This means that [tex]p = \frac{1}{2500} = 0.0004[/tex]

a) Use a binomial distribution to find the probability of finding 4 cars with the defect in a random sample of 7000 cars.

This is [tex]P(X = 4)[/tex] when [tex]n = 7000[/tex]. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 4) = C_{7000,4}.(0.0004)^{4}.(0.9996)^{6996} = 0.1558[/tex]

0.1558 = 15.58% probability of finding 4 cars with the defect in a random sample of 7000 cars.

(b) The Poisson distribution can be used to approximate the binomial distribution for large values of n and small values of p.

Using the approximation:

[tex]\mu = np = 7000*0.0004 = 2.8[/tex]. So

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

[tex]P(X = 4) = \frac{e^{-2.8}*(2.8)^{4}}{(4)!} = 0.1557[/tex]

0.1557 = 15.57% probability of finding 4 cars with the defect in a random sample of 7000 cars. These probabilities are very close, which means that the approximation works.

Answer:

4yd, 1ft

Step-by-step explanation:

2yd + 2yd = 4yd

4yd + 1ft = 4yd, 1ft

Answer:

5x(3-2y)

Step-by-step explanation:

5.5% in decimal form is .055

From this, we can multiply $57,000 by .055, getting $3,135. And since the car dealer gets an extra $100 this week, he gets a total of $3,235.

Answer:

3235

Step-by-step explanation:

100$ a week plus 3135 which is 5.5% if 57,000

Answer:

exhale :)

Step-by-step explanation:

Answer:

Exhale

Step-by-step explanation:

Wishing Well by Juice WRLD

Hope you have a good day :) and thx for the points

Answer:

112 feet

Step-by-step explanation:

Remember the formula for area. length x width. 56 x 2 = 112 feet

Answer:

11 is 4:6

12 is 0

Step-by-step explanation:

Answer:

what are yo tring to sya

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

There are two values for x=0

Answer:

A unit rate is a rate with 1 in the denominator

Answer:

87%

Step-by-step explanation:

100-13 = 87

87 percent of 100 is 87

Answer:

45

Step-by-step explanation:

30% of 150 students is 45, therefore, 45 students voted for Bianca.

Answer:

4

Step-by-step explanation:

2+2 = 4

hope this helps...

Answer:

4

Step-by-step explanation:

Answer:

m∠A = 144°, m∠B = 36°

Step-by-step explanation:

Supplementary angles are angles that add up to 180 degrees.

Substitute 4(m∠B) for m∠A.

4(m∠B) + m∠B = 180

5(m∠B) = 180

m∠B = 36°

Substitute 36 for m∠B.

4(36) = m∠A

m∠A = 144°

Answer:

a

Step-by-step explanation:

Answer:

once

Step-by-step explanation:

The vertical line test shows how many outputs (y-value) there are for one input (x-value). There can only one output for each input because only one value should satisfy an equation that represents a function. If the vertical line  goes through the graph twice, that shows there are two outputs for a single x-value. This would mean it is not a function.

Answer:

Length = 4 feet

Step-by-step explanation:

Let the length of a rectangle be x.

Width is 1 feet shorter than the length, b = x-1

The area of the rectangle is 12 sq feet.

The area of a rectangle is given by :

A = length × width

So,

[tex]x(x-1)=12\\\\x^2-x-12=0\\\\x^2-4x+3x-12=0\\\\x(x-4)+3(x-4)=0\\\\(x+3)(x-4)=0\\\\x=-3\ and \ x=4[/tex]

Neglecting the negative side, the length of the rectangle is equal to 4 feet.

Answer:

625

Step-by-step explanation:

i dont know why people keeps on deleting my answers that are right, but yeah this IS CORRECT STOP DELETING MY ANSWERS THAT ARE RIGHT....please

Answer:

[tex]7 \frac{26}{15}[/tex]

Step-by-step explanation:

[tex]8 \frac{11}{15} = 7 \frac{?}{15}[/tex]

Remember the multiply and add rule or improper fractions. To convert from a mixed number to an improper fraction, one must multiply the number part of the mixed number by the bottom (denominator) on the fraction. Then one must add that to the numerator (top) of the fraction. Since 7 is 1 less than 8, then one would have to multiply 15 by 1, and add it to 11, to get the value on top of [tex]7 \frac{?}{15}[/tex] The value would be;

[tex]7 \frac{26}{15}[/tex]

Answer:

7 26/18

Step-by-step explanation:

Answer:

Step-by-step explanation:

The greater the negative number the more small it is

-100<-2<-1/2

Percent can be turned into decimals by moving the decimal place two spaces to the left.

______________________________

 - So this means from the choices, [tex]\sqrt[10]{y}=\sqrt[10]{y}[/tex].

______________________________

SSS theorem

Step-by-step explanation:

KL = MN

KN = ML

KM = KM

Answer:

i think it's ASA

Step-by-step explanation:

Answer:

Umm are you going to repost and actually ask the question and give the right amount of points?

Step-by-step explanation: