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crimeas [40]
3 years ago
12

I need help please take all my points if u help me. THANK YOU!!!

Mathematics
1 answer:
BigorU [14]3 years ago
5 0

Answer:

D.

Step-by-step explanation:

Graphed it using a graphing calculator. It is the easiest and fastest way to do so.

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Body armor provides critical protection for law enforcement personnel, but it does affect balance and mobility. The article "Imp
yKpoI14uk [10]

Answer:

No, there is not enough evidence to support the claim that true average task time with armor is less than 2 seconds.

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that true average task time with armor is less than 2 seconds.

Then, the null and alternative hypothesis are:

H_0: \mu=2\\\\H_a:\mu< 2

The significance level is 0.01.

The sample has a size n=52.

The sample mean is M=1.95.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=0.2.

The estimated standard error of the mean is computed using the formula:

s_M=\dfrac{s}{\sqrt{n}}=\dfrac{0.2}{\sqrt{52}}=0.028

Then, we can calculate the t-statistic as:

t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{1.95-2}{0.028}=\dfrac{-0.05}{0.028}=-1.803

The degrees of freedom for this sample size are:

df=n-1=52-1=51

This test is a left-tailed test, with 51 degrees of freedom and t=-1.803, so the P-value for this test is calculated as (using a t-table):

P-value=P(t

As the P-value (0.039) is bigger than the significance level (0.01), the effect is not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that true average task time with armor is less than 2 seconds.

3 0
2 years ago
A particle moves along a line with a velocity v(t)=t2−t−6, measured in meters per second. Find the total distance the particle t
ahrayia [7]

Answer:

10.67 m

Step-by-step explanation:

Velocity is given as;

v(t) = t² − t − 6

To get the distance, we will integrate the velocity equation.

x(t) = ∫v(t) = (t³/3) - (t²/2) - 6t

Thus, from t=0 seconds to t=4 seconds., we have;

(t³/3) - (t²/2) - 6t between 0 and 4.

Thus;

Total Distance = [(4³/3) - (4²/2) - 6(4)] - [(0³/3) - (0²/2) - 6(0)]

Total distance = (64/3) - 8 - 24 = -10.67 m

Distance can't be negative and so we take the absolute value which is 10.67 m

7 0
2 years ago
Jack wants to make a wooden car.
joja [24]
I believe the correct answer is G

5 0
2 years ago
Felicia bought 3 feet of ribbon for a project. she needs to cut the ribbon into 6 equal pieces. how long will each ribbon be?
anastassius [24]
3feer is 36 inches

36/6= 6 inches
6 0
2 years ago
Solve. -3/5x + 1/5 &gt; 7/20
nignag [31]
-3/5x + 1/5 > 7/20

-3x + 1/5 > 7/20       join the denominators

-3x + 1 > 7/20 * 5    multiply both sides by 5

-3x + 1 > 35/20

-3x + 1 > 7/4  

-3x > 7/4 - 1

-3x > 3/4

x < -3/4 ÷ 3

x < -1/4

hope that helps, God bless!
5 0
3 years ago
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