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inna [77]
2 years ago
15

A cone has a volume of 942 in.³ and a height of 9 inches what is the radius of the cone use 3.14 for pie

Mathematics
1 answer:
bija089 [108]2 years ago
8 0

Answer:

r = 51.96 inches

Step-by-step explanation:

V_{cone} = \pi {r}^{2} h  \\  \\  \implies \: r^{2}  =  \frac{V_{cone}}{\pi h } \\  \\  \implies \:  r^{2} =  \frac{942}{3.14 {(9) } }\\  \\  \implies \:  r^{2} =  \frac{942}{3.14 {(9) } } \\  \\  \implies \:  r^{2} =2700 \\  \\  \implies \:  r= \sqrt{2700}  \\  \\  \implies \:  r=51.96 \: inches

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1. A new brand of hot dog claims to have a lower sodium content than the leading brand.
kherson [118]

Answer:

(a) Population mean = 314.5mg

(b) Margin of error = 21.281mg

(c) No, 350mg is not a plausible value

The new brand of hot dog has a lower sodium content on average than the leading brand

(d) Yes

Step-by-step explanation:

(a) Population mean = (370+326+322+297+326+289+293+264+327+331)/10 = 3145/10 = 314.5mg

(b) Margin of error = t×sd/√n

sd = 29.73, n = 10, degree of freedom = n-1 = 10-1 = 9

Assuming 95% confidence level

t-value corresponding to 9 degrees of freedom and 95% confidence level is 2.262

Margin of error = 2.262×29.73/√10 = 21.281mg

(c) No

Lower limit of new brand = 314.5 - 21.281 = 293.219mg

Upper limit = 314.5 + 21.281 = 335.781mg

The range of sodium content for the new brand of hot dog is between 293.219mg and 335.781mg which is lower than the leading brand (350mg)

(d) Margin of error = t×sd/√n

From the formula above, margin of error varies inversely as the square root of sample size

The smaller the sample size (n = 10) the larger the margin of error and the less accurate is the population mean

The larger the sample size (n = 40) the smaller the margin of error and the more accurate is the population mean

8 0
3 years ago
Complete the chart to find the mean,variance,and standard deviation. 45 340 400 825
hoa [83]

Answer:

<u>A. Mean =  402.5</u>

<u>B. Variance = 77,556.25</u>

<u>C. Standard Deviation =  278.49</u>

Step-by-step explanation:

Let's calculate the mean, variance and standard deviation of the set of numbers given:

A. Mean = (45 + 340 + 400 + 825)/4 = 1,610/4 =<u> 402.5</u>

B. Variance [(45 - 402.5)² + (340 - 402.5)² + (400 - 402.5)² + (825 - 402.5)²]/4 =  [(127,806.25 + 3,906.25 +6.25 + 178,506.25/4 =<u> </u><u>77,556.25</u>

C. Standard Deviation = √Variance = √77,556.25 =<u> 278.49</u>

7 0
3 years ago
What is the greatest common factor of the two expressions?<br> 7a^2<br> 8a^3b^2
Andreyy89

Answer:

a²

Step-by-step explanation:

(see attached for reference)

We can find GCF by expressing each expression into their prime factors

7a² = 7 x a x a

8a³b² = 8 x a x a x a x b x b

by observation, we can see that a x a or a² shows up in both expressions, highlighted in bold here:

7a² = 7 x <em>a x a</em>

8a³b² = 8 x <em>a x a</em> x a x b x b

Hence the greatest common factor is a x a = a²

6 0
3 years ago
PLEASE HELP!!!!
yan [13]
C. The area is increased by an area of 25

8x7=56
40x35=1400

1400/56=25
7 0
3 years ago
Read 2 more answers
Solve and graph the inequality 6.7&gt;-0.2x+4.5 look at picture to get the exact equation and answer choices!
Taya2010 [7]
Let's do it !

(6.7 ≥ -0.2x + 4.5)
↔ (6.7 - 4.5 ≥ -0.2x)
↔ (2.2 ≥ -0.2x)
↔ (2.2/-0.2 ≤ x)
↔ (-11 ≤ x)

In short, the answer would be : D. x ≥ -11.

Hope this helps !

Photon
4 0
3 years ago
Read 2 more answers
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