Three friends share 4 packs of Expo Markers. How much of the pack will each friend receive?

Solve each system of equations Y= x +3 Y=2x+5

Stells [14]

Answer:

x=-2, y=1

Step-by-step explanation:

To solve a system of equations, you set x+3 and 2x+5 equal to each other and solve. This simplifies to x=-2. Then you plug itin to one of the equations to get y. Hope this helps and have a magnificent day!!!!! Stay safe!!!

5 0

3 years ago

Solve for x if 5 - x = 6 A) 1 B) No solution C) -1 D) 5

bekas [8.4K]

Answer:

C

Step-by-step explanation:

5 - 1 = 4

5 - 5 = 0

5 - -1 = 6

I hope this helps but the answer most likely is C

4 0

2 years ago

Read 2 more answers

Allam just finished a great meal at a restaurant in Wisconsin. The sales tax in Wisconsin is 5 percent, and it is costumary to l

lubasha [3.4K]

Answer:

Tax = $0.75

Tip = $2.25

Total (meal + tax + tip)= $18.00

Step-by-step explanation:

When solving for percentages of a number, such as sale tax and tip, multiplying the decimal equivalent of each percentage to the amount will give you the individual costs. For example, in this case the sales tax is 5%, the decimal equivalent of 5% = 5 ÷ 100 = 0.05. To find the amount of tax on Allam's meal, multiply the rate by the amount:

0.05 x $15 = $0.75

Since he plans to leave a 15% tip, we can also multiply the amount of the meal by the planned tip amount:

15 ÷ 100 = 0.15

0.15 x $15 = $2.25

Total amount paid, including tax and tip:

$15 + $0.75 + $2.25 = $18.00

6 0

2 years ago

A student made the following chart to prove that AB2 + BC2 = AC2. (SEE ATTACHMENT)

QveST [7]

"Triangle ABC is similar to triangle ABD 3. Angle ABC = Angle BAD and Angle BAC = Angle ABD" is the one step among the following choices given in the question that has the error. The correct option among all the options that are given in the question is the third option or option "3". I hope the answer has helped you.

6 0

2 years ago

Read 2 more answers

Many elementary school students in a school district currently have ear infections. A random sample of children in two different

Marta_Voda [28]

Answer:

Step-by-step explanation:

The summary of the given data includes;

sample size for the first school $n_1$ = 42

sample size for the second school $n_2$ = 34

so 16 out of 42 i.e $x_1$ = 16 and 18 out of 34 i.e $x_2$ = 18 have ear infection.

the proportion of students with ear infection Is as follows:

$\hat p_1 = \dfrac{16}{42}$ = 0.38095

$\hat p_2 = \dfrac{18}{34}$ = 0.5294

Since this is a two tailed test , the null and the alternative hypothesis can be computed as :

$H_0 :p_1 -p_2 = 0 \\ \\ H_1 : p_1 - p_2 \neq 0$

level of significance ∝ = 0.05,

Using the table of standard normal distribution, the value of z that corresponds to the two-tailed probability 0.05 is 1.96. Thus, we will reject the null hypothesis if the value of the test statistics is less than -1.96 or more than 1.96.

The test statistics for the difference in proportion can be achieved by using a pooled sample proportion.

$\bar p = \dfrac{x_1 +x_2}{n_1 +n_2}$

$\bar p = \dfrac{16 +18}{42 +34}$

$\bar p = \dfrac{34}{76}$

$\bar p = 0.447368$

$\bar p + \bar q = 1 \\ \\ \bar q = 1 -\bar p \\ \\\bar q = 1 - 0.447368 \\ \\\bar q = 0.552632$

The pooled standard error can be computed by using the formula:

$S.E = \sqrt{ \dfrac{ \bar p \bar q}{ n_1} + \dfrac{\bar p \bar p}{n_2} }$

$S.E = \sqrt{ \dfrac{ 0.447368 * 0.552632}{ 42} + \dfrac{ 0.447368 * 0.447368}{34} }$

$S.E = \sqrt{ \dfrac{ 0.2472298726}{ 42} + \dfrac{ 0.2001381274}{34} }$

$S.E = \sqrt{ 0.01177284105}$

$S.E = 0.1085$

The test statistics is ;

$z = \dfrac{\hat p_1 - \hat p_2}{S.E}$

$z = \dfrac{0.38095- 0.5294}{0.1085}$

$z = \dfrac{-0.14845}{0.1085}$

z = - 1.368

Decision Rule: Since the test statistics is greater than the rejection region - 1.96 , we fail to reject the null hypothesis.

Conclusion: There is insufficient evidence to support the claim that a difference exists between the proportions of students who have ear infections at the two schools

5 0

3 years ago