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3 years ago

Graph the linear equation.

Mathematics

1 answer:

NNADVOKAT [17]3 years ago

8 0

Go one box left from the 0 an 3 down

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How do you do this problems?

rewona [7]

x = 6

Step-by-step explanation:

It's based on similarity of triangles

DEF ~ △XYZ

$\implies \mathsf{ \frac{DE }{ XY } = \frac{EF}{YZ} = \frac{ FD}{ZX}}$

The sides should be taken in order, like the triangles start with DE and XY so, we'll proportionate DE and XY and then the next two sides and so on.

I'm using $\mathsf{ \frac{DE }{XY } = \frac{EF}{YZ} }$ to get the value of x.

[You can use any two fractions out of the three given above. ]

$\implies \mathsf{ \frac{10}{x - 1} = \frac{8}{4} }$

$\implies \mathsf{ \frac{10}{x - 1} = 2 }$

$\implies \mathsf{ 10 = 2 (x - 1) }$

$\implies \mathsf{ 10 = 2 x - 2 }$

$\implies \mathsf{ 10 + 2= 2 x }$

$\implies \mathsf{ 1 2= 2 x }$

$\implies \mathsf{ x = 6 }$

Hence, the value of x is 6.

5 0

3 years ago

The mpg (miles per gallon for a certain compact car is normally distributed with a mean of 31 and a standard deviation of 0.8. w

lesantik [10]

For this Q:

mean=31
st.dev.=0.8
x=32

Calculate z-score:
z=(x-m)/s = (32-31)/0.8=1.25

This z-score value corresponding to the probability of 0.8944

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6 0

3 years ago

Aliza reads 9 pages of a book in 1/3 hour. It takes her the same length of time to read each page. How many pages does Aliza rea

slava [35]

Answer:

27 pages in 1 hour

Step-by-step explanation:

9*3 = 27

7 0

3 years ago

A distribution of values is normal with a mean of 99.5 and a standard deviation of 83.2. find p26, which is the score separating

Lynna [10]

A suitable calculator shows the score of 46.0 separates the bottom 26% from the top 74%.

5 0

4 years ago

Professor York randomly surveyed 240 students at Oxnard University and found that 150 of the students surveyed watch more than 1

BaLLatris [955]

Answer:

1727 students

Step-by-step explanation:

Here we have the formula for sample size given as

$n = \frac{p(1-p)z^2}{ME^2}$

Where:

p = Mean

ME = Margin of error = 3

z = z score

Therefore, we have

p = 150/240 = 0.625

z at 99 % = 2.575

ME = $\pm$ 3%

Therefore $n = \frac{0.625(1-0.625)2.575^2}{0.03^2} = 1726.73$

The number of students Professor York have to sample to estimate the proportion of all Oxnard University students who watch more than 10 hours of television each week within ±3 percent with 99 percent confidence = 1727 students.

5 0

3 years ago