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crimeas [40]
3 years ago
12

6(r-4)-5(r-1)=2(r+6) r=?

Mathematics
2 answers:
grandymaker [24]3 years ago
8 0

Answer:

r = -31

Step-by-step explanation:

The picture is how I solved it.

dedylja [7]3 years ago
8 0

Answer: r=-31

Step-by-step explanation:

To find r, we want to use algebraic properties to isolate r.

6(r-4)-5(r-1)=2(r+6)             [distribute]

6r-24-5r+5=2r+12             [combine like terms]

r-19=2r+12                          [subtract both sides by 2r]

-r-19=12                               [add both sides by 19]

-r=31                                    [divide both sides by -1]

r=-31

Now, we know that r=-31.

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Less than 75% of workers got their job through internet resume sites. A researcher thinks it has increased.
Vera_Pavlovna [14]

Answer:

H0 : p = 0.75  against    H1: p > 0.75  One tailed test.

Step-by-step explanation:

We state our null and alternative hypotheses as

H0 : p = 0.75  against    H1: p > 0.75  One tailed test.

In this case H0 is not defined as p≤ 0.75 because the acceptance and rejection regions cannot be set up. Therefore we take the exact value of H0 : p= 0.75.

The claim is that the probability of the workers getting their job through the internet is greater than 75% or 0.75.

As H0 is supposed to be less than we choose H1 to be greater than equality.

5 0
3 years ago
Jason is 6 feet tall, and at 6 pm, his shadow was 15 feet long. At the same time, a tree next to Jason had a 25-foot shadow. Wha
IRISSAK [1]

Answer:

10

Step-by-step explanation:

set up a ratio problem

6 feet/15 long shad= x/25 shad

15x = 150

x = 10

3 0
3 years ago
write an equation for the line that passes through the point (8,3) and parallel to -4x+8y=23. Use slope-intercept form.
kvasek [131]
(1/2)x+b=y because the equation that given the slope is 1/2 if you leave y alone and take the x’s number

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6 0
3 years ago
What is this helppp 1/2 + 1/5
user100 [1]

Answer:

\frac{1}{2}  +  \frac{1}{5}  \\  \\  =  \frac{5 + 2}{10}  \\  \\  =  \frac{7}{10}

4 0
2 years ago
Read 2 more answers
The concentration of particles in a suspension is 50 per mL. A 5 mL volume of the suspension is withdrawn. a. What is the probab
kolezko [41]

Answer:

(a) 0.6579

(b) 0.2961

(c) 0.3108

(d) 240

Step-by-step explanation:

The random variable <em>X</em> can be defined as the number of particles in a suspension.

The concentration of particles in a suspension is 50 per ml.

Then in 5 mL volume of the suspension the number of particles will be,

5 × 50 = 250.

The random variable <em>X</em> thus follows a Poisson distribution with parameter, <em>λ</em> = 250.

The Poisson distribution with parameter λ, can be approximated by the Normal distribution, when λ is large say λ > 10.  

The mean of the approximated distribution of X is:

μ = λ  = 250

The standard deviation of the approximated distribution of X is:

σ = √λ  = √250 = 15.8114

Thus, X\sim N(250, 250)

(a)

Compute the probability that the number of particles withdrawn will be between 235 and 265 as follows:

P(235

                             =P(-0.95

Thus, the value of P (235 < <em>X</em> < 265) = 0.6579.

(b)

Compute the probability that the average number of particles per mL in the withdrawn sample is between 48 and 52 as follows:

P(48

                             =P(-0.28

Thus, the value of P(48.

(c)

A 10 mL sample is withdrawn.

Compute the probability that the average number of particles per mL in the withdrawn sample is between 48 and 52 as follows:

P(48

                             =P(-0.40

Thus, the value of P(48.

(d)

Let the sample size be <em>n</em>.

P(48

                             0.95=P(-z

The value of <em>z</em> for this probability is,

<em>z</em> = 1.96

Compute the value of <em>n</em> as follows:

z=\frac{\bar X-\mu}{\sigma/\sqrt{n}}\\\\1.96=\frac{48-50}{15.8114/\sqrt{n}}\\\\n=[\frac{1.96\times 15.8114}{48-50}]^{2}\\\\n=240.1004\\\\n\approx 241

Thus, the sample selected must be of size 240.

5 0
3 years ago
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