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3 years ago

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On a subway route, station C is located at the midpoint between stations A and D. Station B is located at the midpoint between s

tations A and C. If the distance between stations A and D is 2.4 kilometers, what is the distance between stations B and D?

1 answer:

allochka39001 [22]3 years ago

8 0

2.4 km is the distance between A and D. the distance between B and D is 3/4 of this. So this is: 2.4 * 3/4 = 1.8 km

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Use the given information to find the P-value. Also, use a 0.05 significance level and state the conclusion about the null hypot

Nina [5.8K]

Answer: a. 0.1031; fail to reject the null hypothesis

Step-by-step explanation:

Given: Significance level : $\alpha=0.05$

The test statistic in a two-tailed test is z = -1.63.

The P-value for two-tailed test : $2P(Z>|z|)=2P(Z>|-1.63|)=0.1031$ [By p-value table]

Since, 0.1031 > 0.05

i.e. p-value > $\alpha$

So, we fail to reject the null hypothesis. [When p< $\alpha$ then we reject null hypothesis ]

So, the correct option is a. 0.1031; fail to reject the null hypothesis.

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3 years ago

Bryan is buying notebooks and pens at an office supply store. Notebooks cost $3.59 and pens cost $1.49. He can soend up to $13.

Nesterboy [21]

$13=3.59x+1.49y
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4 years ago

Solve the simultaneous equation:<br>2x+3y=13<br><br>X+2y=9

Neko [114]

Answer:

2x + 3y = 13

4x - y = -2

In the second equation, subtract 4x from both sides.

-y = -2 - 4x

Divide both sides by -1.

y = 2 + 4x

Put this into the first equation in place of y.

2x + 3(2 + 4x) = 13

Multiply everything in the parenthesis by 3.

2x + 6 + 12x = 13

Combine like terms.

14x + 6 = 13

Subtract 6 from both sides.

14x = 7

Divide 14 on both sides.

x = 7 / 14

x = 0.5

Put this into the second equation in place of x.

4(0.5) - y = -2

2 - y = -2

Subtract 2 from both sides.

-y = -4

Divide both sides by -1.

y = 4

So x = 0.5 and y = 4.

Step-by-step explanation:

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3 years ago

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IRINA_888 [86]

Answer:

<h2>The answer is option A</h2>

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation of the parallel line we must first find the slope of the original line

From the question the original line is

y = - ⅔x + 12

Comparing with the general equation above

Slope = -⅔

Since the lines are parallel their slope are also the same

Slope of parallel line = - ⅔

The equation of the line using point

(6, –11) and slope - ⅔ is

$y + 11 = - \frac{2}{3} (x - 6) \\ y + 11 = - \frac{2}{3} x + 4 \\ y = - \frac{2}{3} x + 4 - 11$

We have the final answer as

$y = - \frac{2}{ 3 } x - 7 \\$

Hope this helps you

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3 years ago

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Leno4ka [110]

Answer:

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Step-by-step explanation:

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4 years ago