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Damm [24]
3 years ago
9

What is the distance between (-2 1/2, -3) and (1, -3)

Mathematics
2 answers:
Igoryamba3 years ago
4 0

Answer:

D

Step-by-step explanation:

(-2 1/2, -3) = (-5/2 , -3)    &  (1, -3)

Distance=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}\\\\ =\sqrt{(1-[\frac{-5}{2}])^{2}+(-3-[-3])^{2}}\\\\ =\sqrt{(1+\frac{5}{2})^{2}+(-3+3)^{2}}\\\\ =\sqrt{(\frac{7}{2})^{2}} \\\\=\frac{7}{2}\\\\=3\frac{1}{2}

Bingel [31]3 years ago
3 0

Answer:

  • D)  3  1/2

Step-by-step explanation:

d = √(x₂ - x₁)² + (y₂ - y₁)²

x₂ = 1

x₁ = - 2 1/2 = - 5/2

y₂ = - 3

y₁ = - 3

d = √( 1 + 5/2)² + (- 3 + 3)²

= √(2/2 + 5/2) + 0

= √(7/2)²

= 7/2

= 3  1/2

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Simplify 7(A-6)<br> A-6<br> 7A-42<br> 7A-6
leva [86]

Answer:

7A - 42

Step-by-step explanation:

7(A-6)

Distribute

7*A - 7*6

7A - 42

6 0
3 years ago
A group of friends were working on a student film that had a budget of $900. They used 79% of their budget on equipment. How muc
Mariana [72]

Answer:

711

Step-by-step explanation:

They used 79/100 of their money on equipment which means if they have a budget of 900 dollars they used...

900*79/100=9*79=711 dollars on equipment.

8 0
3 years ago
Sweet t saved 20% of the total cost of the green-eyed fleas new album let three be fleas on the earth .If the regular price is $
Ostrovityanka [42]

Answer:

$6 Sweet t saved on green-eyed fleas new album .

Step-by-step explanation:

As given

Sweet t saved 20% of the total cost of the green-eyed fleas new album .

.If the regular price is $30.

20% is written in the decimal form.

= \frac{20}{100}

= 0.20

Thus

Sweet t saved on green-eyed fleas new album =  0.20 × 30

                                                                              = $6

Therefore $6 Sweet t saved on green-eyed fleas new album .

5 0
3 years ago
A local car dealer claims that 25% of all cars in San Francisco are blue. You take a random sample of 600 cars in San Francisco
sammy [17]

Answer:

No, we can't reject the dealer's claim with a significance level of 0.05.

Step-by-step explanation:

We are given that a local car dealer claims that 25% of all cars in San Francisco are blue.

You take a random sample of 600 cars in San Francisco and find that 141 are blue.

<u><em>Let p = proportion of all cars in San Francisco who are blue</em></u>

SO, Null Hypothesis, H_0 : p = 25%   {means that 25% of all cars in San Francisco are blue}

Alternate Hypothesis, H_A : p \neq 25%   {means that % of all cars in San Francisco who are blue is different from 25%}

The test statistics that will be used here is <u>One-sample z proportion</u> <u>statistics</u>;

                                  T.S.  = \frac{\hat p-p}{{\sqrt{\frac{\hat p(1-\hat p)}{n} } } } }  ~ N(0,1)

where, \hat p = sample proportion of 600 cars in San Francisco who are blue =   \frac{141}{600} = 0.235

            n = sample of cars = 600

So, <u><em>test statistics</em></u>  =  \frac{0.235-0.25}{{\sqrt{\frac{0.235(1-0.235)}{600} } } } }

                               =  -0.866

<em>Now at 0.05 significance level, the z table gives critical values of -1.96 and 1.96 for two-tailed test. Since our test statistics lies within the range of critical values of z so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.</em>

Therefore, we conclude that 25% of all cars in San Francisco are blue which means the dealer's claim was correct.

4 0
3 years ago
Two binders costs$4.36. how many bindees can buy with $55?​
Reil [10]

Answer:

Step-by-step explanation:

First you need to find the price for one binder. If 2 binders cost 4.36 you have to divide by 2 to find the price for 1. You should get 2.18. Then you have to see how many times you can multiply 2.18 without having the product go over 2.18. 2.18 • 22 = 47.96, the number closest to 50 without going over. Therefore, she can buy 22 binders.

6 0
3 years ago
Read 2 more answers
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