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Olegator [25]
3 years ago
14

Find the volume of this figure. Round to the nearest tenth if necessary

Mathematics
1 answer:
Stella [2.4K]3 years ago
5 0

Answer:

Step-by-step explanation:

Volume = (1/3)*B * h

B = 1/2 * a * b

a = 3

b = 4

B = 1/2 * 3 * 4  This only works because the base is a right triangle.

B = 6

Volume = 1/3 * 6 * 6

Volume = 1/3 * 36

Volume = 12

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sss

Step-by-step explanation:

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What is 120 divided by20
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5

Step-by-step explanation:

120/20=5

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Brand name producers of aspirin claim that one advantage of their aspirin over generic aspirin is that brand name aspirin is muc
11Alexandr11 [23.1K]

Answer:

Step-by-step explanation:

The claim here is that the brand name aspirin is more consistent in the amount of active ingredient used than the generic aspirin.

This is a test of 2 independent groups. The population standard deviations are not known. Let μ1 be the mean amount of active ingredients in brand name aspirin and μ2 be the mean amount of active ingredients in generic name aspirin

The random variable is μ1 - μ2 = difference in the mean amount of active ingredients between the brand name and generic aspirin

We would set up the hypothesis.

The null hypothesis is

H0 : μ1 ≥ μ2 H0 : μ1 - μ2 ≥ 0

The alternative hypothesis is

H1 : μ1 < μ2 H1 : μ1 - μ2 < 0

This is a left tailed test

Since sample standard deviation is known, we would determine the test statistic by using the t test. The formula is

(x1 - x2)/√(s1²/n1 + s2²/n2)

From the information given,

x1 = 325.01

x2 = 323.47

s1 = 10.12

s2 = 11.43

n1 = 200

n2 = 180

t = (325.01 - 323.47)/√(10.12²/200 + 11.43²/180)

t = 1.24

1.237877

The formula for determining the degree of freedom is

df = [s1²/n1 + s2²/n2]²/(1/n1 - 1)(s1²/n1)² + (1/n2 - 1)(s2²/n2)²

df = [10.12²/200 + 11.43²/180]²/[(1/200 - 1)(10.12²/200)² + (1/180 - 1)(11.43²/180)²] = 1.53233946713/0.00537245359

df = 285

We would determine the probability value from the t test calculator. It becomes

p value = 0.108

Since alpha, 0.025 < than the p value, 0.108, then we would fail to reject the null hypothesis. Therefore, at 2.5% level of significance, these data support the brand name producers claim

5 0
3 years ago
Kiley can complete 3 math problems in 1 1/4 hours. How many can she complete in one hour
Sergio [31]
3/(5/4) = x/1
x = 12/5 = 2.4 Problems/h
7 0
3 years ago
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You select a card at random from the cards that make up the word “replacement”. Without replacing the card, you choose a second
natta225 [31]
To find the total probability, we first need to solve for the probability of the individual events.

Event 1:
P(consonant)=7/11
We know this to be true because out of the 11 total possibilities for the event, 7 of them are consonants.
R E P L A C E M E N T 


Event 2
P(e)=3/10
We know this to be true because out of the 10 total possibilities for the event (since we didn't replace the first card we withdrew), 3 of them are the letter 'e'.
R E P L A C E M E N T (-1 to account for the first card we withdrew)

The possibility of both events...

P(consonant then 'e')=7/11*3/10=21/110

Answer: P=21/110
6 0
3 years ago
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