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3 years ago

Please help me with this math problem!!!

Mathematics

1 answer:

olchik [2.2K]3 years ago

6 0

Answer:

A) 840 Miles

B) 14 Milers per Gallon

Step-by-step explanation:

A) 350/24 = 14 miles per gallon

14 X 60 = 840 miles.

B) 350/24 = 14 miles per gallon

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Find the length of AB

aniked [119]

FIRST QUESTION
Given points are:
A(2, -4) and B(6, 2)
Now, Use the distance formula.
distance formula = $\sqrt{ (x_{2}- x_{1})^{2} + ( y_{2} - y_{1} )^{2} }$

Now, plug the values into the formula, So,
distance = $\sqrt{ (6- 2)^{2} + ( 2 - (-4))^{2} }$

= $\sqrt{ (6- 2)^{2} + ( 2 +4))^{2} }$

= $\sqrt{ (4)^{2} + ( 6))^{2} }$

= $\sqrt{ 16+36}$

= $\sqrt{52}$

= $2 \sqrt{13}$

So, the length of AB is $2 \sqrt{13}$ .

<span>THIRD QUESTION
</span>Two points given are:
A(3, -2) and B(1, 1)
Also given that B is the midpoint of AC.

Let, the co-ordinates of C be C(a, b).
Now, using midpoint formula,
Midpoint = $(\frac{ x_{1}+ x_{2} }{2} , \frac{ y_{1}+ y_{2} }{2} )$

$(1, 1)=(\frac{ 3+ a }{2} , \frac{ -2+b }{2} )$

Now, equaling the ordered pair, we have,

$1=\frac{ 3+ a }{2}$ .............equation (1)

$1=\frac{ -2+b }{2}$ ................equation (2)

Now, taking equation (1)
$1=\frac{ 3+ a }{2}$

$1*2=3+a$

$2-3=a$

$a=-1$

Now, taking equation (2)
$1=\frac{ -2+b }{2}$

$1*2=-2+b$

$2+2=b$

$b=4$

<span>So, the co ordinates of C are (a, b) which is <u>(-1 , 4)

</u></span>
<span>SECOND QUESTION:
</span>Given equations are:
2x + 3y = 14.....................equation (1)
-4x + 2y = 4 .....................equation (2)
Taking equation (2)
-4x + 2y = 4
2y = 4 + 4x
y = (4 + 4x) / 2
y = 2 + 2x .......................equation (3)
Now, Taking equation (1)
2x + 3y = 14
Substituting the value of y from equation (3), we get,
2x + 3(2 + 2x) = 14
2x + 6 + 6x = 14
8x = 14 - 6
x = (14 - 6) / 8
x = 1

Taking equation (3)
y = 2 + 2x
Now, substituting the value of x in equation (3), we get,
y= 2 + 2 (1)
y = 2 + 2
y = 4

So, x=1 and y=4

6 0

3 years ago

A softball team has 12 girls on it. The coach needs to arrange 9 girls for the batting order. If the lineup is selected at rando

katovenus [111]

Answer: P = 1/12 = 0.083

Step-by-step explanation:

Out of the 12 girls, there will be only one that is the lead-off batter.

we can assume that this is the first being selected at random, then the probability that you will be the lead-off batter, is equal to the quotient between 1 (the outcome where you are selected) and 12 (the total number of outcomes)

Then the probability is:

P = 1/12 = 0.083

The fact that there will be an arrange of only 9 girls does not affect the probability of you getting the position of the lead-off batter.

5 0

3 years ago

Micheal models an experiment. He places a model car on a tramp that can be adjusted to different heights. Each time the model ca

Nadusha1986 [10]

Answer:A

Step-by-step explanation:

because i just know iot is

8 0

2 years ago

A.) find the test statistic

Arada [10]

Regarding the hypothesis tested in this problem, it is found that:

a) The test statistic is: t = 0.49.

b) The p-value is: 0.6297..

c) The null hypothesis is not rejected, as the p-value is greater than the significance level.

d) It appears that the students are legitimately good at estimating one minute, as the sample does not give enough evidence to reject the null hypothesis.

<h3>What is the test statistic?</h3>

The test statistic of the t-distribution is given by the equation presented as follows:

$t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}$

In which the variables of the equation are given as follows:

$\overline{x}$ is the sample mean.

$\mu$ is the value tested at the hypotheses.

s is the standard deviation of the sample.

n is the sample size.

The value tested at the hypothesis is:

$\mu = 60$

From the sample, using a calculator, the other parameters are given as follows:

$\overline{x} = 62.47, s = 19.2, n = 15$

Hence the test statistic is obtained as follows:

$t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}$

$t = \frac{62.47 - 60}{\frac{19.2}{\sqrt{15}}}$

t = 0.49.

<h3>What are the p-value and the conclusion?</h3>

The p-value is obtained using a t-distribution calculator, with a two-tailed test, as we are testing if the mean is different a value, in this case 60, with:

15 - 1 = 14 df, as the number of degrees of freedom is one less than the sample size.

t = 0.49, as obtained above.

Hence the p-value is of 0.6297.

Since the p-value is greater than the significance level of 0.01, the null hypothesis is not rejected, attesting to the ability of the students to estimate one minute.

More can be learned about the test of an hypothesis at brainly.com/question/13873630

#SPJ1

5 0

1 year ago

Whats 2 other ways to write this equation:<br> 40 = 19+7x

hodyreva [135]

Answer:

1: 7x+19=40

2: 19+7x=40

Step-by-step explanation:

7 0

3 years ago