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3 years ago

I need help please please

Mathematics

1 answer:

Aliun [14]3 years ago

7 0

Answer:

y= -4/3x +8

Step-by-step explanation:

well first you got to simply for equation

4x +3y = 24

so you subtract 4x to both sides and that gives you : 3y= -4y +24

then you divide everything by 3

and that leaves you with : y= -4/3x +8

and the graph just put a dot on 8 on the y axis then go down -4 and left 3

your welcome!!!!!!!!1

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A group of friends were working on a student film. They spent all their budget on equipment and props. They spent $216 on equipm

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Answer:

800

Step-by-step explanation:

100x216=27

21600 divided by 27=800

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3 years ago

Bob can complete his Math homework in

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Answer:

3.75 hours

Step-by-step explanation:

Bob completes his homework in 2.5 hours.

In 1 hour, he completes 1/2.5 of his homework.

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In 1 hour, he completes 1/x of his homework.

Together, they complete the homework in 1.5 hours.

In 1 hour, they do 1/1.5 of the homework.

1/2.5 + 1/x = 1/1.5

Convert the decimal numbers in the numerators into fractions.

1/(5/2) + 1/x = 1/(3/2)

2/5 + 1/x = 2/3

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6x + 15 = 10x

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x = 3.75

Answer: 3.75 hours

7 0

3 years ago

A particle moves along line segments from the origin to the points (2, 0, 0), (2, 3, 1), (0, 3, 1), and back to the origin under

sweet [91]

Answer: Work done by the particle is 78 N.

Step-by-step explanation:

If C is the path the particle follows, then work done is $\int_{C}^{}F.dx$ .

According to the question the force $F=z^{2}i+5xyj+4y^2k$ and all four points are in the plane $z=\frac{1}{4}y$ .

therefore, if S is the at surface with boundary C, so that S is the portion of the plane $z=\frac{1}{4}y$ over the rectangle D=[0,2]\times [0,4].

Now,

$curlF=\begin{vmatrix}i &j &k \\ \frac{\partial }{\partial x}&\frac{\partial }{\partial y} &\frac{\partial }{\partial z} \\ z^{2}&5xy &4y^{2} \end{vmatrix}=8yi+2zj+5yk$

By the Stoke's theorem:

$\int_{C}^{}F.dx=\iint_{s}^{}curlF.dS\\\\=\iint_{D}^{}[-8y(0)-2z\left ( \frac{1}{4} \right )+5y]dA\\\\=\iint_{D}^{}\left ( -\frac{1}{2}z+5y \right )dA$

$=\iint_{D}^{}\left ( \frac{39}{8}y \right )dA\, \, \, \, \, \, \, \, \, Since\, \, z=\frac{1}{4}y\\\\=\int_{0}^{2}\int_{0}^{4}\frac{39}{8}y\, \, \, dy\, dx\\\\$

$\int_{0}^{2}\left [ \frac{39}{16}y^2 \right ]_{0}^{4}dx\\\\=\int_{0}^{2}39\, \, dx\\\\=39\times 2\\\\=78 \, N$

8 0

4 years ago

A company makes auto batteries. They claim that of their LL70 batteries are good for months or longer. Assume that this claim is

Katen [24]

Answer:

The probability that the sample proportion is within 0.03 of the population proportion is 0.468.

Step-by-step explanation:

The complete question is:

A company makes auto batteries. They claim that 84% of their LL70 batteries are good for 70 months or longer. Assume that this claim is true. Let p^ be the proportion in a random sample of 60 such batteries that are good for 70 months or more. What is the probability that this sample proportion is within 0.03 of the population proportion? Round your answer to two decimal places.

Solution:

According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

The mean of this sampling distribution of sample proportion is:

$\mu_{\hat p}=p\\$

The standard deviation of this sampling distribution of sample proportion is:

$\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}$

The information provided is:

$p=0.84\\n=60$

As the sample size is large, i.e. <em>n</em> = 60 > 30, the Central limit theorem can be used to approximate the sampling distribution of sample proportion of LL70 batteries that are good for 70 months or longer.

Compute the probability that the sample proportion is within 0.03 of the population proportion as follows:

$P(-0.03$