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Alex
2 years ago
6

If d = 14in, what is the radius?

Mathematics
2 answers:
Nimfa-mama [501]2 years ago
8 0

Answer:

The radius is 7in.

Step-by-step explanation:

D stands for diameter. To find the radius, you divide the diameter by 2.

14/2 = 7

Therefore, the radius is 7.

AnnZ [28]2 years ago
4 0

Answer:

radius= 7

Step-by-step explanation:

the radius is half of the diameter.

i hope this helps :)

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Twelve less than 5 times a number is greater than or equal to 6 more than twice the number. Each inequality and number line repr
jenyasd209 [6]

Answer:  x ≥ 6

<u>Step-by-step explanation:</u>

12 less <u>than</u> 5 times a number ≥ 6 more <u>than</u> twice the number

                    5x - 12                    ≥                        2x + 6

Note: the word "than" switches the order of the terms.

5x - 12 ≥ 2x + 6

<u>-2x  +12</u>  <u>-2x +12 </u>

3x         ≥       18

<u>÷3         </u>     <u>    ÷3 </u>

   x         ≥       6

Graph: 6 -----------→   the dot is closed (filled in) since it is "equal to"

3 0
3 years ago
Tennis elbow is thought to be aggravated by the impact experienced when hitting the ball. The article "Forces on the Hand in the
Gnoma [55]

Answer:

Step-by-step explanation:

Hello!

The objective is to study whether there is a greater force after impacting on one- handed backhand drive in advanced tennis players than in intermediate tennis players.

Sample 1: Advanced tennis players

X₁: Force (N) on the hand just after impact on a one- handed backhand drive for an advanced tennis player.

n₁= 6

X[bar]₁= 40.29 N

S₁= 11.29

Sample 2: Intermediate players

X₂: Force (N) on the hand just after impact on a one- handed backhand drive for an intermediate tennis player.

n₂= 8

X[bar]₂= 21.40

S₂= 8.30

Assuming that both variables have a normal distribution and both population variances are equal, to compare these two populations is best to do so trough their population means using a t-test for independent samples.

If the force is greater for the advanced players than for the intermediate players, then you'd expect the population mean for the advanced players to be greater than the population mean for the intermediate players:

H₀: μ₁ ≤ μ₂

H₁: μ₁ > μ₂

α: 0.05

t= \frac{(X_[bar]_1-X[bar]_2)-(Mu_1-Mu_2)}{Sa\sqrt{\frac{1}{n_1} +\frac{1}{n_2} } } ~~t_{n_1+n_2-2}

Sa= \sqrt{\frac{(n_1-1)S_1^2+(n_2-1)S_2^2}{n_1+n_2-2} } = \sqrt{\frac{5*127.51+7*68.92}{6+8-2} }= 9.66

t_{H_0}= \frac{(40.29-21.40)-0}{9.66\sqrt{\frac{1}{6} +\frac{1}{8} } } = 3.62

Using the p-value approach, the decision rule is

If p-value ≤ α, reject the null hypothesis

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

The p-value for this test is 0.00024, it is less than the level of significance, so the decision is to reject the null hypothesis.

This means that at a 5% significance level you can conclude that the average force experienced on the hand after a one-handed backhand drive for advanced players is greater than the average force experienced on the hand after a one-handed backhand drive for intermediate players.

I hope this helps!

3 0
3 years ago
Can somebody help???
Oduvanchick [21]

Answer:

first box - 2.10

second box - 2.14

4 0
2 years ago
Read 2 more answers
A picture has an area of 35cm and is 7cm long.An enlargement of the picture is made is 21cm long.Find the area of the enlargemen
marta [7]

Answer: The area of the enlargement is 315cm.

Step-by-step explanation:

If the picture has 35cm as the area and it has a length of 7cm  then we can find the width by dividing the area by the length.

w= 35/7

w =  5      

So in this care the width of the picture in 5cm.

Now is saying that the picture's length has been enlarge or been dilated to 21 cm. To get from 7cm to 21cm you will have to multiply  by 3.  

In this situation, we will have to multiply the original picture's width by 3 to find it enlargement.

w= 5*3 = 15  

The width is 15cm and the length is 21cm so multiply them to find the area.

A = 15 * 21

A = 315cm

6 0
3 years ago
Solve the following system of equations using substitution <br> x = 4 <br> 2x + 4y = 36
DiKsa [7]
Just plug in 4 for the x

2*4 +4y =36
8+4y =36
4y =36-8
4y=28
y= 28/4
y=7
7 0
2 years ago
Read 2 more answers
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