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2 years ago

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Mathematics

2 answers:

Stells [14]2 years ago

5 0

Answer:

Step-by-step explanation:

aleksklad [387]2 years ago

4 0

Answer:

a rectangle

Step-by-step explanation:

because 2 sides are the same the other 2 arent it has four sides with straight angles

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When 17 is divided by K ; where k is a positive integer less than 17 the remainder is 3 .What is the remainder when the sum of t

FinnZ [79.3K]

Answer:

The remainder is 4.

Step-by-step explanation:

Note: This question is not correctly stated. It is therefore correctly restated before answering the question as follows:

When 17 is divided by k; where k is a positive integer less than 17, the remainder is 3. What is the remainder when the sum of the possible values of k is divided by 17?

The explanation of the answer is now given as follows:

Since k < 17, it implies that the possible values of k must be from between 1 and 16 inclusive.

Between 1 and 16, only 7 or 14 will give a remainder of 3 when either of them is used to divide 17. Therefore, 7 and 14 are the possible values of k.

Therefore, we have:

Sum of the possible values of k = 7 + 14 = 21

Also, we have:

Sum of the possible values of k divided by 17 = 21 / 17 = 1 with a remainder of 4.

Therefore, the remainder is 4 when the sum of the possible values of k is divided by 17.

8 0

2 years ago

You are given the following information obtained from a random sample of 5 observations. 20 18 17 22 18 At 90% confidence, you w

Margaret [11]

Answer:

The null hypothesis is

$H_o : \mu = 21$

The Alternative hypothesis is

$H_a : \mu< 21$

$\sigma_{\= x} = 0.8944$

$t = -2.236$

Yes the mean population is significantly less than 21.

Step-by-step explanation:

From the question we are given

a set of data

20 18 17 22 18

The confidence level is 90%

The sample size is n = 5

Generally the mean of the sample is mathematically evaluated as

$\= x = \frac{20 + 18 + 17 + 22 + 18}{5}$

$\= x = 19$

The standard deviation is evaluated as

$\sigma = \sqrt{ \frac{\sum (x_i - \= x)^2}{n} }$

$\sigma = \sqrt{ \frac{ ( 20- 19 )^2 + ( 18- 19 )^2 +( 17- 19 )^2 +( 22- 19 )^2 +( 18- 19 )^2 }{5} }$

$\sigma = 2$

Now the confidence level is given as 90 % hence the level of significance can be evaluated as

$\alpha = 100 - 90$

$\alpha = 10$ %

$\alpha =0.10$

Now the null hypothesis is

$H_o : \mu = 21$

the Alternative hypothesis is

$H_a : \mu< 21$

The standard error of mean is mathematically evaluated as

$\sigma_{\= x} = \frac{\sigma}{ \sqrt{n} }$

substituting values

$\sigma_{\= x} = \frac{2}{ \sqrt{5 } }$

$\sigma_{\= x} = 0.8944$

The test statistic is evaluated as

$t = \frac{\= x - \mu }{ \frac{\sigma }{\sqrt{n} } }$

substituting values

$t = \frac{ 19 - 21 }{ 0.8944 }$

$t = -2.236$

The critical value of the level of significance is obtained from the critical value table for z values as

$z_{0.10} = 1.28$

Looking at the obtained value we see that $z_{0.10}$ is greater than the test statistics value so the null hypothesis is rejected

6 0

3 years ago

A fish tank contains as 1/2 many goldfish as mollies, and there are 6 more guppies than goldfish. If the total combined number o

defon

17, because you divide 22 in half and add 6 because there are half as many mollies and there are 6 more guppies then goldfish.

4 0

2 years ago

Read 2 more answers

WILL GIVE BRAILIST TO PERSON WHO ANSWERS CORRECTLY!!

den301095 [7]

Answer:

The Answer is 16

Step-by-step explanation:

The three angles enclosed in a triangle, made by its sides, are called its internal angles. The sum of internal angles of a triangle is

180

. Based on its internal angles, a triangle can be classified as acute angled, right angled and obtuse angled.

Your Welcome! :)

6 0

2 years ago

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Help me with this please

zvonat [6]

Answer: (6,4)

10 + 2 / 2 = 6

-1 + (-7) / 2 = -4

3 0

2 years ago

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