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3 years ago

16. x + 8x - 16 factor the expression

Mathematics

1 answer:

Debora [2.8K]3 years ago

3 0

Answer:

Your answer is going to be 9x - 16

Step-by-step explanation:

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luvenia can row 4mph in still water. She takes as long to row 7 mi upstream as 21 mi downstream. how

xeze [42]

Answer:

The speed of the river is 2mph.

Step-by-step explanation:

I guess that we want to find the speed of the river.

First, remember the relation: speed*time = distance

If the speed of the river is Sr, when Luvenia moves downstream (in the same direction that the flow of the water) the total speed will be equal to the speed of Luvenia in still water plus the speed of the water:

Sd = 4mph + Sr

and at this speed, in a time T, she can move 21 miles, so we have:

Sd*T = (4mph + Sr)*T = 21 mi

When moving upstream, the speed will be:

Su = (4mph - Sr)

and in the same time T as before, she moves 7 miles, so we have the equation:

Su*T = (4mph - Sr)*T = 7 mi

Then we have two equations:

(4mph + Sr)*T = 21 mi

(4mph - Sr)*T = 7 mi

Now we can take the quotient of those two equations and get:

((4mph + Sr)*T)/((4mph - Sr)*T) = 21/7

The time T vanishes, and we can solve it for Sr.

(4mph + Sr)/(4mph - Sr) = 3

4mph + Sr = 3*(4mph - Sr) = 12mph - 3*Sr

4*Sr = 12mph - 4mph = 8mph

Sr = 8mph/4 = 2mph.

7 0

4 years ago

A person is studying the relationship between temperature and mental ability. So,

valina [46]

Answer:

control

Step-by-step explanation:

3 0

3 years ago

Due in 20 min plz help!!!!

sertanlavr [38]

Answer:

8:10 in ration

8/10 fraction

Step-by-step explanation:

7 0

3 years ago

What is the value of 9^-6/9^-4?

eduard

Answer:

9^-2 or 1/81

Step-by-step explanation:

<u>Exponent Rule:</u>

When dividing exponents, they're subtracted.

Since the second term has a negative exponent, we add.

<u>Change the problem into multiplication, then add 4 to the exponent of -6:</u>

$\frac{9^{-6} }{9^{-4} } = 9^{-6} \times 9^{4}=9^{-2}$ $or$ $\frac{1}{81}$

7 0

2 years ago

A manufacturer claims that fewer than 6% of its fax machines are defective. to test this claim, he selects a random sample of 97

AfilCa [17]

Let P be the population proportion, p be the sample proportion, n be the sample size.

A manufacturer claims that fewer than 6% of its fax machines are defective. It means P=0.06

Sample size n=97 and sample proportion p=0.05

The hypothesis to be tested is

H0: P ≥ 0.06 V/s Ha: P < 0.06

Here the hypothesis for testing population proportion we use z test statistics. Z test statistics is give by

Z = $\frac{p -p_{0}}{\sqrt{p_{0}(1-p_{0})/n}}$

Where p =sample proportion = 0.05

p0 = hypothesized proportion value =0.06

Using given values into test statistics we get

Z = $\frac{0.05 -0.06}{\sqrt{0.06(1-0.06)/97}}$

Z = -0.41

The p-value for left tailed alternative hypothesis is given by

P-value = P(z < z cal)

where zcal = Z test statistics value

Here zcal = -0.41

P-value = P(Z < -0.41)

Using z score table to find probability below z=-0.41

P-value = 0.3409

P-value for testing the given claim is 0.3409

3 0

4 years ago