1) Which is the slope in the following linear equation?
y= 7x + 3
A. 3
B. 11
C. 7
D. 4

Answer:

a. $2.12

b. $6.45

c. $38.81

Step-by-step explanation:

a.

I'll convert 30.24 and 7% into fractions.

756/25 * 7/100

Cross cancel 756 and 100 (GCF is 4)

189/25 * 7/25

Convert above into a single fraction

(189 * 7)/(25 * 25)

Multiply 189 by 7, then 25 by 25.

1323/625

Divide, then round to the nearest cent

$2.1168 ≈ $2.12 in sales tax

b.

Like before, I'll convert $32.26 ($30.24 + $2.12) and 20% into fractions.

1613/50 * 1/5

Multiply 50 by 5.

1613/250

Divide, then round to the nearest cent.

$6.452 ≈ $6.45 in tip money

c.

This is probably the simplest part of the 3. Just add $30.24 + $2.12 + $6.45.

$30.24 + $2.12 + $6.45

$32.36 + $6.45

You pay a total of $38.81 for lunch.

Answer:

Its the one on the left I'm pretty sure

Step-by-step explanation:

Answer:

Step-by-step explanation:

Gas expands when temperature rises and contracts when cooled. So the full balloon was heated and the partially filled ballon was cooled.

Answer: 1.637 x 10¹⁴ different playlists

Step-by-step explanation: Since DJ Ali needs to choose 9 songs and wishes that the number of blues, country and jazz songs are the same, she needs to pick 3 songs of each type. The total number of ways she can choose the songs, without considering their order is:

The number of possible ways of ordering those nine song is:

There are 1.637 x 10¹⁴ different possible playlist.

Answer:

If she wanted to play 99 songs and play an equal amount of  blues, country, and jazz she would play 33 songs from each category.

33 blues

33 country

33 jazz

= 99 songs

Step-by-step explanation:

Answer:

c

Step-by-stepc explanation:

Answer:

Top picture: 1/3

middle picture: 1

bottom picture: 1/2

Step-by-step explanation:

rise over run

Answer:

A.

Step-by-step explanation:

(2/3)*6.75=4.5

Answer:

4.25

Step-by-step explanation:

Step 1: 23-(17-12)²+6.25

Step 2: 23-5²+6.25

Step 3: 23-25+6.25

Answer:

520.83 k g  of seed

Step-by-step explanation:

Answer:

A #2.5#-#kg# bag of grass seed covers an area of #1200# #m^2#. How much seed is needed to cover a square park with side length #500# #m#?

Step-by-step explanation:

Answer:

0.58 = 58% probability she passes both courses

Step-by-step explanation:

We can solve this question treating the probabilities as a Venn set.

I am going to say that:

Event A: She passes the first course.

Event B: She passes the second course.

The probability she passes the first course is 0.67.

This means that [tex]P(A) = 0.67[/tex]

The probability she passes the second course is 0.7.

This means that [tex]P(B) = 0.7[/tex]

The probability she passes at least one of the courses is 0.79.

This means that [tex]P(A \cup B) = 0.79[/tex]

a. What is the probability she passes both courses

This is [tex]P(A \cap B)[/tex].

We use the following relation:

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]

So

[tex]P(A \cap B) = P(A) + P(B) - P(A \cup B) = 0.67 + 0.7 - 0.79 = 0.58[/tex]

0.58 = 58% probability she passes both courses

Answer:

The critical value that should be used in constructing the confidence interval is T = 1.337.

The 80% confidence interval for the population mean lead concentration is between 0.246 and 0.29 cc/cubic meter.

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 17 - 1 = 16

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 16 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.8}{2} = 0.9[/tex]. So we have T = 1.337, which is the crical value.

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 1.337\frac{0.069}{\sqrt{17}} = 0.022[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 0.268 - 0.022 = 0.246 cc/cubic meter

The upper end of the interval is the sample mean added to M. So it is 0.268 + 0.022 = 0.29 cc/cubic meter

The 80% confidence interval for the population mean lead concentration is between 0.246 and 0.29 cc/cubic meter

Answer:

18.02 units

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

1 bracelet costs $7

5 bracelets is 7*5=35

As we can see with the numbers they gave us every bracelet costs 7 dollars, 1 =7, 2=14 and so on. With this information we can just take the number 5 and multiply it by 7 which would equal 35. Or you could add 7 to 21 and then 7 to 28. Whichever one works for you.

Hope this helped

Answer:

Step-by-step explanation:

256

Answer:

256

Step-by-step explanation:

16 x 16=256

Answer:

it equals 17 tenths

Step-by-step explanation:

Answer:

the answer will be 0.7 for sure

Step-by-step explanation:

for the steps

the question is given as eight tenths i.e 0.8 and another is given nine tenth i.e 0.9

so when you calculate (add) both

0.8+0.9

gives

0.7

Answer:

Paying off the highest interest rate credit card first makes the most mathematical sense because it will save you more money and allow you to redirect funds to other financial goals faster. Paying off the highest interest rate first is better because this way you get to avoid financial problems and avoid having to pay too much money of interest since the card with the highest interest rate is usually the one that will cause you the most financial pain.

Answer:

b. Not binomial: there are more than two outcomes for each trial.

Step-by-step explanation:

Binomial probability distribution:

We need

Fixed number of trials.

Independent trials.

Each trial can be reduced to a yes/no proposition.

Rolling a single "loaded die 19 times, keeping track of the numbers that are rolled.

There are six possible outcomes(1,2,3,4,5,6), so cannot be reduced to a yes/no proposition, and the answer is given by option b.

Answer:

x=21.9317121994

Step-by-step explanation:

You just look at the half triangle and use the Pythagorean Theorem.  One side of the triangle is 9 (half of 18), the other is 20, so you find the hypotenuse.

9²+20²=x²

81+400=x²

481=x²

√481=x

x=21.9317121994

Answer:

option D: 100,000

Step-by-step explanation:

approximated to 10⁵ to 100,000

Answer:

,mnl.khvmfjdrykytdd7ir rvrtuy

Step-by-step explanation:

12 fishes are in the tank

A fish tank has 12 angelfish .out of every 8 fish 3 are angelfish. how many fish are in the tank?

Answer:

Step-by-step explanation:

12angelfish(8fish/3angelfish)=32 fish

Answer:

8 + 2n = 42

Step-by-step explanation:

the sum of eight:   ___+ 8

and twice(2) a number(could be any variable but for now i choose n):   2n + 8

is 42 (literally mean it equals 42):    2n + 8 = 42

Answer:

Step-by-step explanation:

Given that:

[tex]H_o: \mu \ge 55 \ \\ \\ H_1 : \mu < 55[/tex]

(a) For x = 54 and s = 5.3

The test statistics can be computed as:

[tex]Z = \dfrac{\overline x - \mu}{\dfrac{s}{\sqrt{n}} }[/tex]

[tex]Z = \dfrac{54-55}{\dfrac{5.3}{\sqrt{36}} }[/tex]

[tex]Z = \dfrac{-1}{\dfrac{5.3}{6} }[/tex]

Z = -1.132

degree of freedom = n - 1

= 36 - 1

= 35

Using the Excel Formula:

P-Value = T.DIST(-1.132,35,1) = 0.1326

Decision: p-value is greater than significance level; do not reject [tex]\mathbf{H_o}[/tex]

[tex]Conclusion: \ There \ is \ insufficient \ evidence \ to \ conclude \ that \[/tex] [tex]\mu < 55[/tex]

b

For x = 53 and s = 4.6

The test statistics can be computed as:

[tex]Z = \dfrac{\overline x - \mu}{\dfrac{s}{\sqrt{n}} }[/tex]

[tex]Z = \dfrac{53-55}{\dfrac{4.6}{\sqrt{36}} }[/tex]

[tex]Z = \dfrac{-2}{\dfrac{4.6}{6} }[/tex]

Z = -2.6087

degree of freedom = n - 1

= 36 - 1

= 35

Using the Excel Formula:

P-Value = T.DIST(-2.6087,35,1) =0.0066

Decision: p-value is < significance level; we reject the null hypothesis.

[tex]Conclusion: \ There \ is \ sufficient \ evidence \ to \ conclude \ that[/tex] [tex]\mu < 55[/tex]

c)

For x = 56 and s = 5.0

The test statistics can be computed as:

[tex]Z = \dfrac{\overline x - \mu}{\dfrac{s}{\sqrt{n}} }[/tex]

[tex]Z = \dfrac{56-55}{\dfrac{5.0}{\sqrt{36}} }[/tex]

[tex]Z = \dfrac{56-55}{\dfrac{5.0}{\sqrt{36}} }[/tex]

Z = 1.2

degree of freedom = n - 1

= 36 - 1

= 35

Using the Excel Formula:

P-Value = T.DIST(1.2,35,1) = 0.88009

Decision: p-value is greater than significance level; do not reject [tex]\mathbf{H_o}[/tex]

[tex]Conclusion: \ There \ is \ insufficient \ evidence \ to \ conclude \ that \[/tex] [tex]\mu < 55[/tex]

Answer:

The margin of error is of [tex]2.262\frac{6}{\sqrt{10}} = 4.29[/tex]

Step-by-step explanation:

We have the standard deviation for the sample. So the T-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 10 - 1 = 9

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 9 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.262

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.262\frac{6}{\sqrt{10}} = 4.29[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The equation that represents the margin of error is: [tex]E = 2.262 \times \frac{6}{\sqrt {10}}[/tex]

The given parameters are:

The margin of error is calculated using:

[tex]E = z_y \times \frac{\sigma}{\sqrt n}[/tex]

So, we have:

[tex]E = z_y \times \frac{6}{\sqrt {10}}[/tex]

The quantile at 95% confidence interval is 2.262

So, the equation becomes

[tex]E = 2.262 \times \frac{6}{\sqrt {10}}[/tex]

Hence, the equation that represents the margin of error is: [tex]E = 2.262 \times \frac{6}{\sqrt {10}}[/tex]

Read more about margin of error at:

https://brainly.com/question/14396648

Step-by-step explanation:

In Triangle (the symbolΔ)QRS,

Angle R is congruent to Angle Q,

And side QR=11

And side SQ=8

Find.The length of RS.

Answer:

24

Step-by-step explanation:

Um. I guess you just multiply 6 x 4 and you get 24

Answer:

90°

Step-by-step explanation: