Jamie ordered 200 business cards and paid $23. She ordered 500 business cards and few months later and paid $35. WRITE and SOLVE a linear equation to find the cost to order 700 business cards.

Answers

Answer 1
Answer: Find the unit rate of the previous two. use that to plug in 700

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-10n + 3 = -117Show work

15=5k-13 whats the letter

Answers

Answer:

k= 5.6

Step-by-step explanation:

Solve the following linear equation

−4(2w−7)=9(2−w)

Answers

Answer:

-10

Step-by-step explanation:

A study published in 1993 found that babies born at different times of the year may develop the ability to crawl at different ages! The author of the study suggested that these differences may be related to the temperature at the time the infant is 6 months old. (Benson and Janette, Infant Behavior and Development [1993]. The study found that 32 babies born in January crawled at an average age of 29.84 weeks, with a standard deviation of 7.08 weeks. Among 21 July babies, crawling ages averaged 33.64 weeks, with a standard deviation of 6.91 weeks. Is this difference significant?

Answers

Answer:

t=\frac{(29.84-33.64)-0}{\sqrt{(7.08^2)/(32)+(6.91^2)/(21)}}}=-1.939  

p_v =2*P(t_(51)<-1.939)=0.0580  

Comparing the p value with the significance assumed \alpha=0.01 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and the difference between the two groups is NOT significantly different at 1% of significance.  

Step-by-step explanation:

Data given

\bar X_(1)=29.84 represent the mean for sample January

\bar X_(2)=33.64 represent the mean for sample July

s_(1)=7.08 represent the sample standard deviation for 1  

s_(2)=6.91 represent the sample standard deviation for 2  

n_(1)=32 sample size for the group 2  

n_(2)=21 sample size for the group 2  

\alpha=0.01 Significance level provided

t would represent the statistic (variable of interest)  

Concepts and formulas to use  

We need to conduct a hypothesis in order to check if the difference in the population means, the system of hypothesis would be:  

Null hypothesis:\mu_(1)-\mu_(2)=0  

Alternative hypothesis:\mu_(1) - \mu_(2)\neq 0  

We don't have the population standard deviation's, so for this case is better apply a t test to compare means, and the statistic is given by:  

t=\frac{(\bar X_(1)-\bar X_(2))-\Delta}{\sqrt{(\sigma^2_(1))/(n_(1))+(\sigma^2_(2))/(n_(2))}} (1)  

And the degrees of freedom are given by df=n_1 +n_2 -2=32+21-2=51  

t-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.  

With the info given we can replace in formula (1) like this:  

t=\frac{(29.84-33.64)-0}{\sqrt{(7.08^2)/(32)+(6.91^2)/(21)}}}=-1.939  

P value  

Since is a bilateral test the p value would be:  

p_v =2*P(t_(51)<-1.939)=0.0580  

Comparing the p value with the significance assumed \alpha=0.01 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and the difference between the two groups is NOT significantly different at 1% of significance.  

B) If the number of days a book is overdue is doubled, how will the fine change?

Answers

Answer:

In my school library you are going to be charged a fixed amount till when you return the book

Step-by-step explanation:

Borrowing of materials from library has time-lines, and special fines or penalty clause when it comes to defaulting of agreement when books are meant to be returned.

This penalty clause may differ from from one library to another.

I will cite my school library as an example.

If the time to return a book is due, the library charges a fixed amount from the due date till when ever one returns the book

Which expression is equal to “7 times the sum of a number and 4"?

Answers

Answer: 7 (x+4)

Step-by-step explanation: Since the expression asks for 7 times the sum of a number and 4, you would put x + 4 in parentheses since multiplying 7 comes afterwards.

Hector waters his lawn if it does not rain at least 1 1/2 inches each week. It has already rained 3/8 inch this week. Which inequality represents the number of inches of rain, r, still needed so Hector does not have to water his lawn this week?A. r ≥ 1 7/8


B. r > 1 7/8


C. r ≥ 1 1/8


D. r > 1 1/8

(The fractions are mixed numbers!!!!)

Answers

Answer:

the answer is C

Step-by-step explanation:

this is because he needs at least 1 1/2, it's already rained 3/8 inches, so to simplify the equation change 1 1/2 to 1 4/8 which is still equivalent to 1 1/2, then subtract 3/8 from 1 4/8 which will give you 1 1/8. now here is where it gets kind of tricky, both C and D seem to have 1 1/2, but the difference between them is the symbols > and ≥ are CRUCIAL!!!! (">" means that the number at the left is greater than the number at the right while "≥" means that the number at the left is greater than OR EQUAL TO the number at the right) so as you can see you also need to pay attention to what the text says, because it is mention quote on quote "Hector waters his lawn if it does not rain at least 1 1/2 inches each week," this means that if it's not at least (in other words the same as or more) 1 1/2 inches of rain a week, he will water his plants