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2 years ago

Simplify – 2(7x – 3)

Mathematics

1 answer:

ANTONII [103]2 years ago

5 0

All you need to do here is multiply the outside number by both 7x and -3.

When done correctly it should look like this:

-14x+6

Thats the answer.

7 times 2 gives you 14 but when multiplying mixed signs it turns negative so it would be -14.

negative 3 times negative 2 gives you 6. Both signs are negative, and you would suppose it would turn into a negative but thats only true when both signs are mixed. Both the 3 and the 2 are negative, making the signs the samez giving you positive

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From 1995 - 2008 in the US 648 people were struck by lightening. 531 of them were men. You want to see if this observation diffe

Gre4nikov [31]

Answer:

Because z is higher than any given value in the chart we come to the conclusion To reject null hypothesis

Step-by-step explanation:

Sample proportion = p= 531/648 = 0.8194

This is the proportion of men that were hit by lightening

Null hypothesis: H0: p = 0.5

Alternate hypothesis: H1: p ≠ 0.5

Test statistics z = 0.8194-0.5/(√0.5x0.5/648)

= 0.8194-0.5/√0.0003858

= 0.3194/0.019642

= 16.26

Since the z > 1.96 (at 5% significance) we reject the null hypothesis.

Therefore in conclusion we say z is higher than given values in the chart so we reject null hypothesis.

Please check attachment!

3 0

3 years ago

Simplify (5^1/3)^3.

pentagon [3]

Answer:

The correct option is C. 5

Therefore,

$(5^{\frac{1}{3})^{3}\ =\ \d5$

Step-by-step explanation:

Simplify

$(5^{\dfrac{1}{3})^{3}=?$

Solution:

Using Identity

$(x^{a})^{b}=x^{(a\times b)}$

So in the given expression

$x = 5\\a=\dfrac{1}{3}\\\\b=3$

Therefore,

$(5^{\frac{1}{3})^{3}\ =\ \d5^{(\dfrac{1}{3}\times 3)}=\d5^{1}=\d5$

Therefore,

$(5^{\frac{1}{3})^{3}\ =\ \d5$

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2 years ago

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1 year ago

The graph below shows the speed of a car that is driven through a town and then on a major highway. During which of the followin

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Considering the graph of the velocity of the car, it is found that the interval in which it was stopped at a traffic light was:

Between 3 and 4 minutes.

<h3>When is a car stopped at a traffic light?</h3>

When a car is stopped at a traffic light, the car is not moving, that is, it's velocity is of zero.

In this problem, the graph gives the velocity as a function of time, and it is at zero between 3 and 4 minutes, hence the interval in which it was stopped at a traffic light was:

Between 3 and 4 minutes.

More can be learned about the interpretation of the graph of a function at brainly.com/question/3939432

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1 year ago