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2 years ago

3x(5-2)=(3x5)-(3x2) explain how you could use the distributive property and mental math to find 5x198

1 answer:

6 0

The Distributive Property Is Used When You Multiply 3x To (5-2) Which Then Means
15x-6x= 15-6
9x=9
Divide Both Sides By 9
x=1

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A line has a slope of -4 and passes through the point (2,-5) <br> which is the equation of the line

dimulka [17.4K]

We will be using the Point Slope formula which is $y-y_{1} =m(x-x_{1} )$

The information we are given is that m = -4 and the point is (2,-5), so we can input it into the equation.

$y- (-5) = -4(x-2)$

This simplifies into $y+5 = -4x +8$

Then we can subtract 5 from each side to get the answer:

$y = 4x+3$

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2 years ago

If T is the midpoint of CE then CT=TE

mr_godi [17]

Answer: true statement

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3 years ago

A radio is being discounted 30%. If the sale price of the radio is $29.82, what was the original price of the radio?

meriva

Answer: $42.60

Step-by-step explanation:

Original price: p

Discount: 30%

Sale price: 29.82

p x 0.7 = 29.82

p = 29.82/0.7 = 42.60

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2 years ago

Help me please urgent

asambeis [7]

$Let \: x \: be \: the \: number \: of \: hours \\ Expession: - 4.5x = - 27\Leftrightarrow x = \frac{ - 27}{ - 4.5} = 6 \: hours$

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2 years ago

A hypothesis test is conducted at the .05 level of significance to test whether or not the population correlation is zero. If th

finlep [7]

Answer:

Th computed value of the test statistic is 3.597

Step-by-step explanation:

The null and the alternative hypothesis is as follows:

Null Hypothesis:

$\mathbf{H_o:}$ the population correlation coefficient is equal to zero

$\mathbf{H_a:}$ the population correlation coefficient is not equal to zero

The test statistics for Pearson correlation coefficient is thus computed as :

$t =\dfrac{r \sqrt{(n-2)}} { \sqrt{(1-(r)^2)} }$

where;

r = correlation coefficient = 0.60

n = sample size = 25

So;

$t =\dfrac{0.60 \sqrt{(25-2)}} { \sqrt{(1-(0.60)^2)} }$

$t =\dfrac{0.60 \sqrt{(23)}} { \sqrt{(1-0.36} }$

$t =\dfrac{0.60 *4.796} {0.8}$

t = 3.597

Comparing to a critical value of t (23 degrees of freedom two-tailed value) = 2.069

Decision Rule:

Since computed value of t is greater than the critical value of t; We reject the null hypothesis and accept the alternative hypothesis.

Conclusion:

We conclude that the population correlation coefficient significantly differs from 0 at 5% (0.05) level of significance.

6 0

3 years ago