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katovenus [111]
3 years ago
11

PLS help due by 3pm

Mathematics
1 answer:
dimaraw [331]3 years ago
6 0

Answer:

Step-by-step explanation:

6

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What is the rate of change (slope), given these two points (1,-3) and (7,-6)
nadezda [96]

Answer: -1/2

Step-by-step explanation: to find slope, use the equation (y2-y1) / (x2-x1)

(-6 - -3) / (7 - 1)

-3 / 6

= -1/2

5 0
2 years ago
A new sample of 225 employed adults is chosen. Find the probability that less than 7.1% of the individuals in this sample hold m
arsen [322]

Answer:

The probability that less than 7.1% of the individuals in this sample hold multiple jobs is 0.0043.

Step-by-step explanation:

Let <em>X</em> = number of individuals in the United States who held multiple jobs.

The probability that an individual holds multiple jobs is, <em>p</em> = 0.13.

The sample of employed individuals selected is of size, <em>n</em> = 225.

An individual holding multiple jobs is independent of the others.

The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> = 225 and <em>p</em> = 0.13.

But since the sample size is too large Normal approximation to Binomial can be used to define the distribution of proportion <em>p</em>.

Conditions of Normal approximation to Binomial are:

  • np ≥ 10
  • n (1 - p) ≥ 10

Check the conditions as follows:

np=225\times 0.13=29.25>10\\n(1-p)=225\times (1-0.13)=195.75>10

The distribution of the proportion of individuals who hold multiple jobs is,

p\sim N(p, \frac{p(1-p)}{n})

Compute the probability that less than 7.1% of the individuals in this sample hold multiple jobs as follows:

P(p

*Use a <em>z</em>-table.

Thus, the probability that less than 7.1% of the individuals in this sample hold multiple jobs is 0.0043.

7 0
3 years ago
If arc XV = 68° and ∠YUV = 36°, what is the measure of arc VY? A) 120° B) 130° C) 140° D) 150°
dybincka [34]
The picture in the attached figure

we have
arc XV = 68°∠YUV = 36°
 we know that
The measure of the external angle is the semidifference of the arcs that it covers.
therefore
∠YUV =[arc VY-arc XV]/2

arc VY=[2*∠YUV]+arc XV----------> [2*36]+68---------> 140°

the answer is
the measure of arc VY is 140°

6 0
3 years ago
A cube with 40-cm-long sides is sitting on the bottom of an aquarium in which the water is one meter deep. (Round your answers t
Molodets [167]

Answer:

940.8 N

1254.4 N

Step-by-step explanation:

I would think the questions would be to calculate the forces at the top of the cube and at the sides. Thus:

On the top:

F = pressure * area

P = density * gravity * height

the height would be:

1m - 0.4m = 0.6m

replacing:

P = 1000 * 9.8 * 0.6 = 5880

A = (0.4) ^ 2 = 0.16

F = 5880 * 0.16

F = 940.8 N

On the sides:

dF = d * g * h * dA

dA = 0.4 * dh replacing

dF = 1000 * 9.8 * h * 0.4 * dh

dF = 3920 * h * dh

We integrate both sides and we have:

F = 3920 * (h ^ 2/2), h = 0.6 up to h = 1

F = (3920/2) * (1 ^ 2 - 0.6 ^ 2)

F = 1254.4 N

3 0
3 years ago
In triangle ABC, c is the hypotenuse, 0=25°, and b =3, Find the length of c ?
Charra [1.4K]

Answer:

\large\boxed{c\approx3.31}

Step-by-step explanation:

Use cosine:

cosine=\dfrac{adjacent}{hypotenuse}

\cos\theta=\dfrac{b}{c}

We have:

\theta=25^o\to\cos25^o\approx0.9063\\\\b=3

Substitute:

\dfrac{3}{c}=0.9063

\dfrac{3}{c}=\dfrac{9063}{10000}          <em>cross multiply</em>

9063c=30000          <em>divide both sides by 9063</em>

c\approx3.31

8 0
3 years ago
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