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lora16 [44]
3 years ago
8

Factor the polynomial: -24a^2b^3c^4-36a^4b^3c^2

Mathematics
1 answer:
Verizon [17]3 years ago
8 0

Answer:

-12b^3a^2c^2\left(2c^2+3a^2)

Step-by-step explanation:

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HELPPPPPPPPPOOOOOPPPPPPPPOP PLS
andrew-mc [135]

Answer:

0.1 8 17

Step-by-step explanation:

7 0
3 years ago
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
3 years ago
AWARDING DOUBLE POINTS question in pic, will report anything other than the answer
mash [69]

Answer:

m∠R is 72°

Step-by-step explanation:

In the given figure

∵ ΔPQR ≅ ΔUVW

→ From congruency

∵ m∠P = m∠U

∵ m∠Q = m∠V

∴ m∠R = m∠W

∵ m∠R = (10x - 18)°

∵ m∠W = 8x°

∵ m∠R = m∠W

→ Equate their measures

∴ 10x - 18 = 8x

→ Add 18 to both sides

∵ 10x - 18 + 18 = 8x + 18

∴ 10x = 8x + 18

→ Subtract 8x from both sides

∴ 10x - 8x = 8x - 8x + 18

∴ 2x = 18

→ Divide both sides by 2 to find x

∴ x = 9

→ Substitute the value of x in the m∠R

∵ m∠R = 10(9) - 18

∴ m∠R = 90 - 18

∴ m∠R = 72°

∴ m∠R is 72°

7 0
3 years ago
There are 5 red marbles, 8 blue marbles, and 12 green marbles in a bag. What is the theoretical probability of randomly drawing
zheka24 [161]
25 total marbles, 17 red plus green, so id say d) 68%
7 0
2 years ago
Read 2 more answers
I need help on doing the equal values method. Please tell me how to do y=11-2x y=x+2
noname [10]

Answer:

11-2x=x+2

-3x=9

x=-3

Step-by-step explanation:

y=11-2x

y=x+2

So we use the first equation to plug in for the second equation.

Then we solve for x and get the answer. Hope this helps. Thank you.

8 0
3 years ago
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