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ElenaW [278]
3 years ago
10

Please help!!! will pick brainliest

Mathematics
2 answers:
horrorfan [7]3 years ago
6 0

9514 1404 393

Answer:

  • surface area: 456 cm²
  • volume: 408 cm³

Step-by-step explanation:

The surface area of the figure is the total of the areas of the two triangular bases and the three rectangular faces.

  SA = 2(1/2)(8 cm)(6 cm) + (17 cm)(6 cm + 8 cm  + 10 cm)

  = 48 cm² + 408 cm²

  SA = 456 cm²

__

The volume is the product of the area of the triangular base and the length of the prism.

  V = (1/2)(8 cm)(6 cm)×(17 cm) = (24 cm²)(17 cm)

  V = 408 cm³

inna [77]3 years ago
6 0

Answer:

surface area: 456 cm²

volume: 408 cm³

Step-by-step explanation:

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A random sample of 100 observations from a quantitative population produced a sample mean of 22.8 and a sample standard deviatio
natima [27]

Answer:

We conclude that the population mean is 24.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 24

Sample mean, \bar{x} = 22.8

Sample size, n = 100

Alpha, α = 0.05

Sample standard deviation, s = 8.3

First, we design the null and the alternate hypothesis

H_{0}: \mu = 24\\H_A: \mu \neq 24

We use Two-tailed z test to perform this hypothesis.

Formula:

z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }

Putting all the values, we have

z_{stat} = \displaystyle\frac{22.8 - 24}{\frac{8.3}{\sqrt{100}} } = -1.44

We calculate the p-value with the help of standard z table.

P-value = 0.1498

Since the p-value is greater than the significance level, we accept the null hypothesis. The population mean is 24.

Now, z_{critical} \text{ at 0.05 level of significance } = \pm 1.96

Since,  the z-statistic lies in the acceptance region which is from -1.96 to +1.96, we accept the null hypothesis and conclude that the population mean is 24.

7 0
3 years ago
asmine wants to use her savings of $1128 to buy video games and music CDs. The total price of the music CDs she bought was $72.
Inga [223]
Let g represent video games. The equation you can use to solve for the amount of video games and CDs Jasmine can buy with her savings is:
43g+72=1128

The 43g part is because it costs 43 dollars for every video game, so you need to multiply 43 by the amount of games she buys to get the total for g games.
The +72 part is because you already have the amount spent on CDs, and needs to be added to the cost of video games, so that the sum would be equal to 1128.

Now, solving:
43g+72=1128 ...subtract 72 from both sides
43g=1056 ...divide both sides by 43 to isolate g
g=24.5581395349
Rounded up, that would be 25 games, but Jasmine's savings isn't enough to buy 25 games that cost $43 each, so you would go down to 24 games.

The answer: Jasmine can buy 24 games with her savings after spending $72 on CDs.
8 0
3 years ago
Help!!!?
miskamm [114]

Answer:

32 units

Step-by-step explanation:

5 0
3 years ago
Maths<br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B1%20%2B%20x%7D%20%2B%20%20%5Csqrt%5B3%5D%7B1%20-%20x%7D%20%3D%20%
Vilka [71]

Answer:

X=0,1

Step-by-step explanation:

Remove the radical by raising each side to the index of the radical

5 0
3 years ago
Find the exact value of tan(x + y) if (cscx=5/3 and cosy =5/13
attashe74 [19]

Answer:

-63/16

Step-by-step explanation:

8 0
3 years ago
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