Solve for the value of c.

Answers

Answer 1

Answer: c=15, (Check) 7(15)=105, 105-7=98; 6(15)=90, 90-8=82. 98+82=180

Related Questions

HELP ASAPThe highest Common Factor of two prime numbers is 1. *Is that true or false???
6.Write the equation in slope-intercept form for the line that passes through the given pointand is perpendicular to the given equation.5x + 3y = -21 and passes through (-5, 1)
25-foot long board is to be cut into two parts. The longer part is one foot more than twice the shorter part. How long is each part?
Csc theta * cos^2 theta +sin theta= csc theta
What are the x-intercepts of the parabola represented by the equation y = 3x2 + 6x − 10

A survey of 100 similar-sized hospitals revealed a mean daily census in the pediatrics service of 27 with a standard deviation of 6.5. Researchers test whether these data provide sufficient evidence to indicate the mean is greater than 25. Use α=.05. Give 1. the hypotheses, 2. appropriate test, 3. decision rule, 4. calculated test statistic, and 5. conclusion with a comparison to the critical value or alpha.

Answers

Answer:

We conclude that the mean is greater than 25.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 25

Sample mean, $\bar{x}$ = 27

Sample size, n = 100

Alpha, α = 0.05

Sample standard deviation, s = 6.5

First, we design the null and the alternate hypothesis

$H_(0): \mu = 25\nH_A: \mu> 25$

We use One-tailed(right) z test to perform this hypothesis.

Formula:

$z_(stat) = \displaystyle\frac{\bar{x} - \mu}{(s)/(√(n)) }$

Putting all the values, we have

$z_(stat) = \displaystyle(27 - 25)/((6.5)/(√(100)) ) = 3.07$

Now, $z_(critical) \text{ at 0.05 level of significance } = 1.645$

Since,

$z_(stat) > z_(critical)$

We reject the null hypothesis and accept the alternate hypothesis.

Thus, the mean is greater than 25.

Final answer:

The null hypothesis is the mean is equal to 25 and the alternative is that the mean is greater than 25. Using a one-sample t-test and 0.05 significance level, the calculated statistic results in rejection of the null hypothesis. Thus, there is sufficient evidence to suggest that the mean daily census in pediatrics is greater than 25.

Explanation:

1. The hypotheses for this scenario are that the null hypothesis (H0): the mean daily census in the pediatrics service is equal to 25, and the alternative hypothesis (H1): the mean daily census in the pediatrics service is greater than 25.

2. The appropriate test for this scenario would be a one-sample t-test, given that we have a sample mean, a population mean, a standard deviation, and we're examining a single group of hospitals.

3. The decision rule would be: if the p-value of our t-test is less than the significance level (α=.05), we reject H0 and accept H1.

4. The test statistic is calculated as follows: t = (Sample Mean-Population Mean)/(Sample Standard Deviation/ √number of observations), this would give us (27-25)/(6.5/√100) = 3.08.

5. Since 3.08 is greater than the critical value for a 0.05 significance level, we reject the null hypothesis. Therefore, there is sufficient evidence to conclude that the mean daily census in the pediatrics service is greater than 25.

Learn more about One-sample t-test here:

brainly.com/question/32606144

#SPJ12

Solve the algebraic expression n + 8, if n = 15

Answers

you mean evaluate

n+8
if n=15
15+8=
10+5+8=
10+3+2+8=
13+10=
23

plug in 15 so n+8 ...15+8=23

which of the following is among the likely causes of a non-random sample? a. non response bias b. parameter c. statistics d. population

Answers

Answer:

a. non response bias

This is one of the usually cause when we use a non-random sample, sinc the probability of selection for all the individuals on the population is not the same when we use this, we are comitting non response bias since we are not taking in count some people in the possible target sample.

Nonresponse bias is "the bias that results when respondents differ in meaningful ways from nonrespondents. Nonresponse is often problem with mail surveys, where the response rate can be very low".

Step-by-step explanation:

Random sample

For this method we need the following two conditions:

(1) "Every element in our population has a nonzero probability of being selected as part of the sample."

(2)" We have accurate knowledge of this probability, known as the inclusion probability, for each element in the sampling frame".

Non random sample

It's the opposite of random sample and we have these problems associated:

(1) "It is relatively unusual to have a sampling frame available to you when you’re conducting market studies".

(2) "Ensuring that every individual in a population has a nonzero probability of being selected is just as difficult to accomplish; knowing every sampling unit’s exact inclusion probability is even more difficult. The individuals that cannot be selected as part of a sample are generally referred to as excluded units".

Assuming the following options:

a. non response bias

b. parameter

False we are looking for a cause related to non random sample. The parameter is just a value that we want to find but is not a cause related to the non random sample.

c. statistics

False, we can associate a cause of non random sample with the statistics. The term "statistics" is a big concept that involves a lot of methods and ways to analyze information, and is not the correct cause associated to the non-random sample.

d. population

False, we can associate the population as a cause of the non random sample. We use sampling methods in order to estimate some population parameters. But the population is not a cause of the non-random sample.

Lines m and n are parallel. The equation of line m is y=3x+3. What is the equation of line n?

Answers

The equation for line n is y = 3x + c

What is the equation of a straight line ?

An equation of a straight line is given by y = mx+c, where m is the slope and c is the intercept on the y axis.

In the question it is given that

Lines m and n are parallel to each other.

The equation of line m is y=3x+3

The equation of line n =?

The parallel lines m an n will have same slope but different intercept.

So the slope in the line equation y=3x+3 is 3

m = 3

Taking c as the intercept by the line n on y axis.

The equation for line n is y = 3x + c

To know more about equation of a straight line

brainly.com/question/959487

#SPJ2

Answer:

y=3x-1

Step-by-step explanation:

You would have to change the y-intercept but that's all. Also, I put this answer into my ttm and got it right.

4. A recipe says that 2 3/5 cups of flour are needed to make 1 batch of biscuits. How many cups of flour are needed to make 2 batches of biscuits? O 43/5 O 51/5 O 26/10 O 6

Answers

the answer is the second option, 5 1/5

10 ) Which Property of Multiplication is shown? (5 + 3) x 2 = 5 x 2 + 3 x 2A. Identity Property
C. Associative Property
B. Distributive Property
D. Commutative Property

Answers

Property of Multiplication that is shown on the expression (5 + 3) x 2 = 5 x 2 + 3 x 2 is Distributive Property (option b)

The property of multiplication that is shown in the given equation is the Distributive Property. The Distributive Property states that multiplication distributes over addition. In other words, when we multiply a number by the sum of two other numbers, it is the same as multiplying the number by each of the individual addends and then adding the results together.

In the given equation, we have "(5 + 3) x 2 = 5 x 2 + 3 x 2." Let's break down the left-hand side first. "(5 + 3)" represents the sum of 5 and 3, which is 8. So, we have "8 x 2." By applying the Distributive Property, we can rewrite this as "5 x 2 + 3 x 2."

Now, on the right-hand side, we have "5 x 2 + 3 x 2." Here, we are multiplying 5 by 2 and 3 by 2 individually and then adding the products together. This aligns with the Distributive Property, which states that the result will be the same as on the left-hand side.

So, the Main Answer is option B. Distributive Property

To know more about multiplication here

brainly.com/question/29488963

#SPJ3

Answer:

B. Distributive Property of Multiplication

Step-by-step explanation:

The given equation shows that two similar expressions are equal to each other.

How? Well, they both equal 16 to start. These are the same expressions - one is just distributed out!

$2 \cdot (5 + 3) \n2 \cdot 5 + 2 \cdot3 \n10 + 6 = 16$