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3 years ago

If 9a+6b+4c=7, what is -24b-16c-36a

Mathematics

1 answer:

Alexandra [31]3 years ago

3 0

Answer:

-24b - 16c - 36a = -28

Step-by-step explanation:

Given the initial equation of 9a + 6b + 4c = 7 and looking at the second equation of -24b - 16c - 36a, I notice that all of the coefficients of the variables have been multiplied by a factor of -4. Since all of the factors have been multiplied by the same factor, multiplied the answer to the equation by a -4 as well will give us the answer to the problem. Since the original answer is 7, multiplying this answer by a factor of -4: (7)(-4) = -28.

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The average gasoline price of one of the major oil companies in Europe has been $1.25 per liter. Recently, the company has under

umka2103 [35]

Answer:

1. Option A) Reject the null hypothesis

2. Option B) 0.0062

Step-by-step explanation:

We are given the following in the question:

1. Population mean, μ = $1.25 per liter

Sample mean, $\bar{x}$ = $1.20 per lite

Sample size, n = 49

Alpha, α = 0.05

Population standard deviation, σ = $0.14

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 1.25\text{ dollars per liter}\\H_A: \mu < 1.25\text{ dollars per liter}$

We use one-tailed z test to perform this hypothesis.

Formula:

$z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

Putting all the values, we have

$z_{stat} = \displaystyle\frac{1.20 - 1.25}{\frac{0.14}{\sqrt{49}}}= -2.5$

Now, $z_{critical} \text{ at 0.05 level of significance } = -1.64$

Since,

$z_{stat} < z_{critical}$

We reject the null hypothesis and accept the alternate hypothesis.

Option A) Reject the null hypothesis

Thus, there is enough evidence to support the claim that efficiency measures have reduced the prices.

2. We can calculate the p value from the standard table.

P-value = 0.0062

Option B) 0.0062

4 0

3 years ago

On a unit circle, the vertical distance from the x-axis to a point on the perimeter of the circle is twice the horizontal

tia_tia [17]

Answer:

(2/5)√5 ≈ 0.894427

Step-by-step explanation:

You require the y-coordinate of the point that satisfies two equations:

x^2 +y^2 = 1

y = 2x

Substituting for x, we have ...

(y/2)^2 +y^2 = 1

y^2(5/4) = 1

y^2 = 4/5

y = (2/5)√5 ≈ 0.894427

The sine of the angle is (2/5)√5 ≈ 0.894427.

8 0

4 years ago

Sophie uses 18 beads to make a neckalace , 3/6 of the beads are purple

valentinak56 [21]

Answer:

9 beads are purple

Step-by-step explanation:

we know that

To find out how many beads are purple, multiply the total beads by the fraction of the beads that are purple

therefore

9 beads are purple

Another way to solve the problem is convert the fraction in percentage

we have

If the total are 18 beads

50% is 9 beads

therefore

9 beads are purple

4 0

3 years ago

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Mariana [72]

Answer:

2x^2

Step-by-step explanation:

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3 years ago

What are 3 diffrent ways to get 1 in fractions

STALIN [3.7K]

Answer:

example: 2/2 5/5 10/10

Step-by-step explanation:

Since you want 3 ways to make 1 into a fraction, you need to know how much of a fraction you need to make a whole number. You will need 2 halves to make a circle.

7 0

3 years ago