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prisoha [69]
3 years ago
14

Select the locations on the number line to plot the points 10/2 and −9/2 .

Mathematics
2 answers:
tresset_1 [31]3 years ago
4 0

Answer:

5 and -4.5

Step-by-step explanation:

10/2=5

and -9/2=-4.5

-5  -4.5 -4 -3 -2 -1 0 1  2 3 4 5

Lisa [10]3 years ago
4 0

Answer:

The number line is in the attached picture.

Step-by-step explanation:

We have the points 10/2 and −9/2.

The point 10/2 can be expressed as:

\frac{10}{2} =5

The point -9/2 can be expressed as:

- \frac{9}{2}= - \frac{8+1}{2}= -(\frac{8}{2} + \frac{1}{2})= -(4 + \frac{1}{2} )=-4\frac{1}{2}

So for the first point we have to count 5 places from zero to the right.

For the second point, we have to count 4 places and a half from zero to the left.

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The sum of two numbers is 16. their difference is 1. what is the product of the two numbers
Fofino [41]

Answer:

The product of the numbers is 63.75

Step-by-step explanation:

Let the numbers be x and y

x + y = 16

x -y = 1

Adding both together

2x = 17

x = 17/2

x = 8.5

Recall

x -y = 1

8.5 - y = 1

y = 8.5 - 1 = 7.5

Their product is xy

so we have 7.5 * 8.5 = 63.75

3 0
3 years ago
A shop repairs both audio and video components. Let A denote the event that the next component brought in for repair is an audio
kow [346]

Answer: 0.6

Step-by-step explanation:

The probability formula to find p(B/A) is :

P(B/A) = p(A n B) / p(B)

Which means that A is contain in B and p(A n B) is p(A)

p(A n B)= p(A)=0.6 × 0.05 = 0.03

p(B)=0.05

Therefore

P(B/A) = p(A n B) / p(B)=p(A) / p(B)

P(B/A)=0.03 / 0.05

P(B/A)=0.6

5 0
3 years ago
Work out the volume for this prism ​
melisa1 [442]
<h3><u>given</u><u>:</u></h3>

<u>area = 24 \:  {cm}^{2}</u>

<u>height = 8 \: cm</u>

<h3><u>to</u><u> </u><u>find</u><u>:</u></h3>

the volume of the given prism.

<h3><u>solution</u><u>:</u></h3>

<u>v = area \: of \: cross \: section \times height</u>

<u>v = 24 \times 8</u>

<u>v = 192 \:  {cm}^{3}</u>

<u>hence</u><u>,</u><u> </u><u>the</u><u> </u><u>volume</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>prism</u><u> </u><u>is</u><u> </u><u>1</u><u>9</u><u>2</u><u> </u><u>cubic</u><u> </u><u>centimeters</u><u>.</u>

4 0
2 years ago
You have a trailer with the following dimensions. Height 125cm. Length 2.4m. Width 1.65m. How much cub sand will you be able to
atroni [7]

Answer:

18.75m³ of sand

Step-by-step explanation:

volume =lbh

h=125cm=1.25m

v=2.4*6.25*1.25

=18.75m³

7 0
3 years ago
​A research report describing the results from a repeated-measures t test states that "t(22) = 1.71, p &gt; .05."
Aleonysh [2.5K]

Answer:

b) Fail to reject the null hypothesis with a sample of n = 23 participants

Step-by-step explanation:

Hello!

A "Repeated-measures t-test" is also known as "paired sample t-test" In this type of test you have only one sample and you measure two variables of interest to each experimental unit. Since both study variables are measured in the same units they are said to be dependent.

The most common example of this type of test is the "before-after treatment" experiment.

The degrees of freedom of this experiment are

, so if the test was conducted under a t₂₂ distribution, then the sample size was n= 23 experimental units. Remember if you use the p-value approach, to make a decision over the null hypothesis you have to compare it to the level of significance following the decision rule:

If the p-value ≤ α, you reject the null hypothesis.

If the p-value > α, you do not reject the null hypothesis.

In this example is specified that the p-value is greater than the level of significance, then the decision is to not reject the null hypothesis.

With all this in consideration, the correct option is b)

U hope you have a SUPER day!

6 0
3 years ago
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