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2 years ago

. A cylinder has ___ faces. 2 3 4

Mathematics

2 answers:

ElenaW [278]2 years ago

5 0

Answer:

Step-by-step explanation:

Cloud [144]2 years ago

3 0

Answer:

A cylinder has three faces or individual surfaces. It is a tube-shaped object that is solid on both ends, rather than hollow. It has one face on each end of the cylinder and a third face that wraps continuously around its shaft. Each individual surface of a three-dimensional object is considered a face. Faces are separated by edges.

Step-by-step explanation:

You might be interested in

The manager at a sports radio station will be covering several football games over the weekend. She knows that most of her liste

Paraphin [41]

Complete Question:

The manager at a sports radio station will be covering several football games over the weekend. She knows that most of her listeners are at least 22 years old and wants to know what age group she should gear her advertisements to for the games. She takes a random sample of 46 listeners from age 22-39 and 57 listeners who are 40 and older and asks them if they are likely to tune in to football games. The "yes" responses are recorded in the file attached below.

1. At the 0.05 level of significance, is there a significant difference in the proportion of listeners based on age?

2. Is there evidence to suggest that there is a significant difference in the proportion of listeners based on age?

Answer:

1) There is no significant difference in the proportion of listeners based on age

2) No, there is no evidence

Step-by-step explanation:

Sample size of group 1, $n_1 = 46$

Sample size of group 2, $n_2 = 57$

Number of Yes in group 1, $X_1 = 32$

Number of Yes in group 2, $X_2 = 47$

Proportion of Yes in group 1:

$\hat{p_1} = \frac{X_1}{n_1} \\\hat{p_1} = \frac{32}{46}\\\hat{p_1} = 0.6957$

Proportion of Yes in group 2:

$\hat{p_2} = \frac{X_2}{n_2} \\\hat{p_2} = \frac{47}{57}\\\hat{p_2} = 0.8246$

Null Hypothesis, $H_0: p_1 = p_2$

Alternate Hypothesis, $H_a: p_1 \neq p_2$

$\hat{p} = \frac{X_1 + X_2}{n_1 + n_2} \\\\\hat{p} = \frac{ 32+47}{46+57} \\\\\hat{p}= 0.767$

Significance level,

Calculate the test statistic

$z = (\hat{p_1} - \hat{p_2})/\sqrt{(\hat{p} * (1-\hat{p}) * (\frac{1}{N_1} + \frac{1}{N_2})}\\\\z = (0.6957-0.8246)/ \sqrt{(0.767*(1-0.767)*(1/46 + 1/57))}\\\\z = -1.54$

Get the P-value from the probability distribution table:

At z = -1.54, P-value = 0.1236

Since (P-value = 0.1236) > (α = 0.05), we will accept the null hypothesis. This means that there is no evidence to suggest that there is difference in the proportion of listeners based on age.

7 0

2 years ago

Simplify the following expressing. Show your work and explain each step. 7-(5-3(2+6(2^2)))

Anon25 [30]

Answer:

Step-by-step explanation:

7-(5-3(2+6(2^2)))

When a question has multiple signs, the rule of BODMAS is used. That is, Bracket Of Division Multiplication Addition and Subtraction. The question above will therefore be solved in that order.

The first bracket, we have 2^2

That gives 4

Rewriting the question will give

7-(5-3(2+6(4)))

The question in the next bracket will follow

(2+6(4))

In this bracket too, we have the plus sign and the multiplication sign, so the multiplication will first be solved, them addition will follow.

(2+24)

(26)

Rewriting the question again, we have

7-(5-3(26))

And then, we have the last bracket

(5-3(26))

But we have both the Subtraction sign and the Multiplication sign in this bracket also, so the multiplication will first be solved, before the Subtraction.

(5-3(26))

(5-78)

(-73)

And lastly we have

7-(-73)

7+73

5 0

2 years ago

Sue either travels by bus or walks when she visits the shops. The probability that she catches the bus from the shops is 0.7. Sh

Alina [70]

Corrected Question

Sue travels by bus or walks when she visits the shops. The probability that she catches the bus to the shops is 0.4. The probability she catches the bus from the shops is 0.7. Show the probability that Sue walks at one way is 0.72

Answer:

$P(A \cup B) =0.72$ (Proved)