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3 years ago

If you had $350 and you spent the following

Mathematics

2 answers:

Olin [163]3 years ago

6 0

Answer:

B.) $58

Step-by-step explanation:

350-89-18-27-38-120 = 58

Zina [86]3 years ago

5 0

Answer:

<u>B.) $58</u>

Step-by-step explanation:

350-89=261 (who plays bo2 anymore)

261-18=243 (thats too cheap for coke)

243-27=216 (ew justin bieber smash it)

216-38=178 (finally its dead)

178-120=58 (RIP your broke)

<u>B.) $58</u>

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The given table values represents a liner equation. What is the slope?

Arada [10]

Answer:

A. 2

Step-by-step explanation:

$slope (m) = \frac{y_2 - y_1}{x_2 - x_1}$

Use any two points given in the table of values. Let's use (1, 5), (3, 9)

Let,

$(1, 5) = (x_1, y_1)$

$(3, 9) = (x_2, y_2)$

Plug these values into the slope formula:

$slope (m) = \frac{9 - 5}{3 - 1}$

$slope (m) = \frac{4}{2}$

$slope (m) = 2$

7 0

3 years ago

Calculate the sum of the first 36 terms of the arithmetic sequence defined in which a36=14 and the common difference is d=1/8

user100 [1]

Answer:

425.25

Step-by-step explanation:

Since we are given 36th term as 14 and we know common difference is $\frac{1}{8}$ , it means that from the first term, we add $\frac{1}{8}$ to each and get 14 on the 36th term. To figure out the first term, thus, we have to subtract $\frac{1}{8}$ 35 times from 14. Let's do it to get first term:

$14-35(\frac{1}{8})=\frac{77}{8}=9.625$

The sum of arithmetic sequence formula is:

$S_{n}=\frac{n}{2}[2a+(n-1)d]$

Where,

$S_{n}$ is the sum of nth term (we want to figure this out for first 36 terms)
$a$ is the first term (we figured this out to be 9.625)
$n$ is the term number (36 for our case)
$d$ is the common difference (given as $\frac{1}{8}$ )

Substituting all the values, we get:

$S_{36}=\frac{36}{2}[2(9.625)+(36-1)(\frac{1}{8})]\\S_{36}=18[19.25+4.375]\\S_{36}=18[23.625]\\S_{36}=425.25$

First answer choice is right.

7 0

3 years ago

Read 2 more answers

Someone please help. I don’t understand these

WITCHER [35]

Answer: very too bad for you buddy study nexts time

Step-by-step explanation:

3 0

3 years ago

Paul has $78 in the bank and saves $30 each week. What is the initial value? Be sure to use negative signs if needed.

marin [14]

Answer:

The initial value is $78

Step-by-step explanation:

Given

$Base\ Amount = \$78$

$Additional = \$30$ (weekly)

Required

Determine the initial value

The initial value is the amount he has in its bank account before making his weekly savings.

From the question, we have that his initial balance is $78.

Hence, the initial value is $78

However, his weekly balance can be expressed as:

$Balance = Base\ Amount + Additional * number\ of weeks$

Represent number of weeks with x; So, we have:

$Balance = 78 + 30 * x$

$Balance = 78 + 30 x$

6 0

3 years ago

In analyzing the city and highway fuel efficiencies of many cars and trucks, the mean difference in fuel efficiencies for the 60

Olegator [25]

Answer:

$7.38-1.96\frac{2.51}{\sqrt{601}}=7.18$

$7.38+1.96\frac{2.51}{\sqrt{601}}=7.58$

For this case the confidence interval is given by :

$7.18 \leq \mu \leq 7.58$

Step-by-step explanation:

Data provided

$\bar X=7.38$ represent the sample mean for the fuel efficiencies

$\mu$ population mean

s=2.51 represent the sample standard deviation

n=601 represent the sample size

Confidence interval

The formula for the confidence interval of the true mean is given by:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

The degrees of freedom for this case is given by:

$df=n-1=601-1=600$

The Confidence level for this case is 0.95 or 95%, and the significance level $\alpha=0.05$ and $\alpha/2 =0.025$ and the critical value is given by $t_{\alpha/2}=1.96$

Replcing into the formula for the confidence interval is given by:

$7.38-1.96\frac{2.51}{\sqrt{601}}=7.18$

$7.38+1.96\frac{2.51}{\sqrt{601}}=7.58$

For this case the confidence interval is given by :

$7.18 \leq \mu \leq 7.58$

8 0

3 years ago