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4 years ago

What is the point-slope equation of the line with slope -5 that contains the point (6,3)?

1 answer:

3 0

$\bf (\stackrel{x_1}{6}~,~\stackrel{y_1}{3})~\hspace{10em} slope = m\implies -5 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-3=-5(x-6)$

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For a fundraiser, the Lexington High School football team is making ice cream sundaes, They can buy chocolate ice cream for $15

balu736 [363]

Answer:

region D

Step-by-step explanation:

all other regions are higher than $300

7 0

3 years ago

Read 2 more answers

Work out the circumference of this circle.

DIA [1.3K]

The circumference of a circle will be 131.964.

What is circumference of a circle?

The measurement of the circle's boundaries is called as the circumference or perimeter of the circle. whereas the circumference of a circle determines the space it occupies. The circumference of a circle is its length when it is opened up and drawn as a straight line. Units like cm or unit m are typically used to measure it. The circle's radius is considered while calculating the circumference of the circle using the formula. As a result, in order to calculate the circle's perimeter, we must know the radius or diameter value.

The radius of the circle given is = 21cm

circumference is 2πr = 2*3.142*21 = 131.964cm.

Hence the circumference of a circle 131.964cm.

Learn more about circumference of a circle, by the following link.

brainly.com/question/17380589

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8 0

1 year ago

Janelle can paint 4/5 of a picture in 2/7 of an hour how many can she pain in a full hour

just olya [345]

Answer:

2 4/5 pictures

Step-by-step explanation:

We can use a ratio to solve

4/5 picture x picture

-------------- = -------------

2/7 hour 1 hour

Using cross products

4/5*1 = 2/7x

Multiply each side by 7/2

4/5 * 7/2 = 7/2 * 2/7 x

28/10 =x

2 8/10=x

2 4/5

5 0

4 years ago

Can someone please help me with this one? I’m very confused, how can you solve for the width if the problem doesn’t tell you wha

Marizza181 [45]

Answer:

A. (2x-3)/2

Step-by-step explanation:

Performing the long division indicated by the perimeter expression, you find ...

perimeter = (2x -3) + (10x +6)/(x^2 +2x)

Comparing this to the formula for the perimeter ...

perimeter = 2W +2L

where L is said to be of the form (ax +b)/(x^2 +2x)

we can match terms in the perimeter expression to see that ...

2W = 2x -3

2L = (10x +6)/(x^2 +2x)

The problem doesn't ask for it, but we can see that (a, b) = (5, 3). We can also see that ...

W = (2x -3)/2 . . . . . . . matches choice A

4 0

4 years ago

A lot of 25 skylight covers are received at your construction site, and before installation are subjected to an acceptance testi

8090 [49]

Answer:

If the lot has 4 defective covers out of 25 total covers, the probability of accepting the lot is P=0.98.

Step-by-step explanation:

We have a population of N=25 skylight covers, were K=4 are defective.

We sample n=5 covers, and we will accept the lot if k=2 or fewer are defective.

We will use the hypergeometric distribution to model this probabilities.

First, to be accepted, the sample can have 2, 1 or 0 defective covers, so the probability of being accepted is:

$P(accepted)=P(k\leq2)=P(k=0)+P(k=1)+P(k=2)$

The probability that there are k defective covers in the sample is:

$P(k)=\dfrac{\dbinom{k}{k}\dbinom{N-k}{n-k}}{\dbinom{N}{n}}$

Then, we can calculate the individual probabilities as:

$P(k=0)=\dfrac{\dbinom{4}{0}\cdot \dbinom{25-4}{5-0}}{\dbinom{25}{5}}=\dfrac{\dbinom{4}{0}\cdot \dbinom{21}{5}}{\dbinom{25}{5}}\\\\\\P(k=0)=\dfrac{1\cdot 20349}{53130}=0.38$

$P(k=1)=\dfrac{\dbinom{4}{1}\cdot \dbinom{25-4}{5-1}}{\dbinom{25}{5}}=\dfrac{\dbinom{4}{1}\cdot \dbinom{21}{4}}{\dbinom{25}{5}}\\\\\\P(k=1)=\dfrac{4\cdot 5985}{53130}=0.45$

$P(k=2)=\dfrac{\dbinom{4}{2}\cdot \dbinom{25-4}{5-2}}{\dbinom{25}{5}}=\dfrac{\dbinom{4}{2}\cdot \dbinom{21}{3}}{\dbinom{25}{5}}\\\\\\P(k=2)=\dfrac{6\cdot 1330}{53130}=0.15$

If we add this probabilities, we have:

$P(accepted)=P(k\leq2)=P(k=0)+P(k=1)+P(k=2)\\\\P(accepted)=0.38+0.45+0.15=0.98$

If the lot has 4 defective covers out of 25 total covers, the probability of accepting the lot is P=0.98.

6 0

3 years ago