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serg [7]
3 years ago
11

What is the volume of the prism shown below? O 8 cm O 10 cm O 12 cm3 O 16 cm3

Mathematics
1 answer:
Bogdan [553]3 years ago
3 0

length times width times height

(1¼) (4) (2)

= 10 cm3

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A random sample of 10 parking meters in a beach community showed the following incomes for a day. Assume the incomes are normall
Vlad1618 [11]

Answer: (2.54,6.86)

Step-by-step explanation:

Given : A random sample of 10 parking meters in a beach community showed the following incomes for a day.

We assume the incomes are normally distributed.

Mean income : \mu=\dfrac{\sum^{10}_{i=1}x_i}{n}=\dfrac{47}{10}=4.7

Standard deviation : \sigma=\sqrt{\dfrac{\sum^{10}_{i=1}{(x_i-\mu)^2}}{n}}

=\sqrt{\dfrac{(1.1)^2+(0.2)^2+(1.9)^2+(1.6)^2+(2.1)^2+(0.5)^2+(2.05)^2+(0.45)^2+(3.3)^2+(1.7)^2}{10}}

=\dfrac{30.265}{10}=3.0265

The confidence interval for the population mean (for sample size <30) is given by :-

\mu\ \pm t_{n-1, \alpha/2}\times\dfrac{\sigma}{\sqrt{n}}

Given significance level : \alpha=1-0.95=0.05

Critical value : t_{n-1,\alpha/2}=t_{9,0.025}=2.262

We assume that the population is normally distributed.

Now, the 95% confidence interval for the true mean will be :-

4.7\ \pm\ 2.262\times\dfrac{3.0265}{\sqrt{10}} \\\\\approx4.7\pm2.16=(4.7-2.16\ ,\ 4.7+2.16)=(2.54,\ 6.86)

Hence, 95% confidence interval for the true mean= (2.54,6.86)

7 0
4 years ago
Each cube in this figure measures 1 foot on each side.
UNO [17]

Answer:

Your answer would be:
C.) 200 ft³










Step-by-step explanation:

Have a great rest of your day
#TheWizzer

7 0
2 years ago
Read 2 more answers
The General Social Survey asked a large number of people how much time they spent watching TV each day. The mean number of hours
DerKrebs [107]

Answer:

Yes, we can conclude that the population standard deviation of TV watching times for teenagers is less than 2.66

Step-by-step explanation:

H0 : σ² = 2.66²

H1 : σ² < 2.66²

X²c = (n - 1)*s² ÷ σ²

sample size, n = 40

Sample standard deviation, s = 1.9

X²c = ((40 - 1) * 1.9²) ÷ 2.66²

X²c = 140.79 ÷ 7.0756

X²c = 19.897

Using a confidence level of 95%

Degree of freedom, df = n - 1 ; df = 40 - 1 = 39

The critical value using the chi distribution table is 25.6954

Comparing the test statistic with the critical value :

19.897 < 25.6954

Test statistic < Critical value ; Reject the Null

Hence, we can conclude that the population standard deviation of TV watching times for teenagers is less than 2.66

8 0
3 years ago
Awarding branliest for first correct answer
sineoko [7]

Answer:

Step-by-step explanation:

x² - y² =  (x + y)(x-y)

c² - (5b - 3a)² = (c + [5b -3a]) ( c - [5b - 3s] )

                     = (c + 5b - 3a) (c - 5b + 3s)

6 0
4 years ago
9 stores is 3% of how many stores?
hichkok12 [17]
Hello there! We can solve this question by writing and solving a proportion. Set it up like this:

9/x = 3/100.

This is because 9 is 3% of x number of stores and percents are parts of 100. Setting it up like this will help us get the correct answer. Cross multiply the values . 9 * 100 is 900 and 3 * x = 3x. You get 900 = 3x. Now, divide each side by 3 to isolate the x. 3x/3 cancels out the x. 900/3 is 300. There. x = 300. 9 stores is 3% of 300 stores.
3 0
4 years ago
Read 2 more answers
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