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2 years ago

4. A number of whales were asked about things that they dislike

Mathematics

1 answer:

Klio2033 [76]2 years ago

7 0

Answer:

A. 38

B. 33

C. 13

D. 23

Step-by-step explanation:

The attached table shows my take on the interpretation of the given numbers. You will note that -2 appears in the combination (dislikes Squids; doesn't dislike Ahab or Pollution).

If we take the letters in the order APS for Ahab, Pollution, Squids, and use D for Dislike and L for Like (doesn't dislike), then the statements get interpreted here as follows:

19 dislike giant squids: DDD +DLD +LLD +LDD = 19

6 dislike S and P and A: DDD = 6

24 dislike A: DDD +DLD +DDL +DLL = 24

1 dislike P but not S or A: LDL = 1

11 dislike A and S: DDD +DLD = 11

3 dislike P and A but not S: DDL = 3

20 dislike pollution: DDD +LDD +DDL +LDL = 20

5 have no dislikes: LLL = 5

Starting with the single-cell numbers DDD, LDL, DDL, LLL, you can next fill in the cell value that gives the double cell sum, then the values for quadruple-cell sums (19 will be last).

A. The total number of whales surveyed is the total of all the numbers in the cells: 38.

B. The number that dislike at least 1 is the complement of the number that dislike none, so is 38-5 = 33.

C. This is DDL +DLL = 3+10 = 13.

D. This is the number that dislike squids (19) plus the number that dislike pollution (1 + 3), for a total of 23.

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A safety officer wants to prove that μ = the average speed of cars driven by a school is less than 25 mph. Suppose that a random

Akimi4 [234]

Answer:

$t=\frac{24-25}{\frac{2.2}{\sqrt{14}}}=-1.70$

The degrees of freedom are given by:

$df=n-1=14-1=13$

The p value for this case would be given by:

$p_v =P(t_{(13)}$

Step-by-step explanation:

Information given

$\bar X=24$ represent the mean height for the sample

$s=2.2$ represent the sample standard deviation

$n=14$ sample size

$\mu_o =25$ represent the value that we want to test

t would represent the statistic

$p_v$ represent the p value for the test

Hypothesis to verify

We want to cehck if the true mean is lees than 25 mph, the system of hypothesis would be:

Null hypothesis: $\mu \geq 25$

Alternative hypothesis: $\mu < 25$

The statistic would be given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

Replacing the info given we got:

$t=\frac{24-25}{\frac{2.2}{\sqrt{14}}}=-1.70$

The degrees of freedom are given by:

$df=n-1=14-1=13$

The p value for this case would be given by:

$p_v =P(t_{(13)}$

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2 years ago

Suppose that the exam scores for students in a large university course are normally distributed with an unknown mean and standar

HACTEHA [7]

Answer:

Critical value t-score=2.701.

Step-by-step explanation:

When we calculate a confidence interval with an unknown population standard deviation, we estimate it from the sample standard deviation and use the t-score instead of the z-score.

The critical value for t depends on the level of confidence and the degrees of freedom.

If the sample size is 42, the degrees of freedom are:

$df=n-1=42-1=41$

For a confidence level of 99% and 41 degrees of freedom, the critical value of t is t=2.701.

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2 years ago

What is the value of z in the equation 3z - 7 = 14

Arte-miy333 [17]

This is simply solving an equation...

You do this...

3x-7=14
+7 +7
---------------
3z=21
--- ----
3 3

z=7
hope this helped! Give me a 5-rate and a thanks if so!

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2 years ago

Forty-two percent of primary care doctors think their patients receive unnecessary medical care (reader's digest, december 2011/

igomit [66]

Answer:

The standard error is 0.02849

Step-by-step explanation:

<u>Explanation:</u>-

given data is 42% of primary case doctors think their patients receive un-necessary medical care.

That is The proportion 'p' = 42% = 0.42

Given sample size is n =300

The standard error of the sampling distribution of the sample proportion is

$se (p) = \frac{\sqrt{p(1-p)} }{\sqrt{n} }$

$se (p) = \frac{\sqrt{0.42(1-0.42))} }{\sqrt{300} }$

use calculator on simplification , we get

standard error = 0.02849

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2 years ago

Solve for z a(t+z)=45z+67

ladessa [460]

Solve for z a(t+z)=45z+67
1. Expand
$at+az=45z+67$

2. Subtract $at$ from both sides
$az=45z+67-at$

3. Subtract 45z from both sides
$az-45z=67-at$

4. Factor out the common term z
$z(a-45)=67-at$

5. Divide both sides by a - 45
$z= \frac{67-at}{ya-45}$

Answer: $z= \frac{67-at}{a-45}$

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2 years ago

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