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kolbaska11 [484]
3 years ago
11

At the county fair, 4 employees were paid $8.75 an hour to work a funnel cake stand. The worked for 8 hours at regular pay and t

hen for 5 hours at overtime pay for an extra $2.50 an hour. How much money did each employee earn?
Mathematics
1 answer:
makvit [3.9K]3 years ago
8 0

Answer:

126.25

Step-by-step explanation:

take 8.75 and multiply by 8 =70

take 8.75+2.50=11.25

11.25x5=56.25

56.25+70=126.25

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A conjunction is a statement formed by combining two statements with the word ____. and together with or
Verizon [17]

Answer:

and

Step-by-step explanation:

A conjunction is formed when two statements join with the connector <u>and.</u>

The symbol used for a conjunction is:

∧

to mean AND.

For example, when you have two statements :

p : It will rain today.

q : I will fetch water.

You can connect the statements to form a compound statement :

It will rain today and i will fetch water. ( p ∧ q ).

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The general form of the equation of a circle is Ax2 By2 Cx Dy E = 0, where A = B 0. If the circle has a radius of 3 units and th
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The other form of circle equation is (x-a)2 + (y-b)2 = r2. a and b is the coordinate of the center and r is radius. So the equation is x2+(y-4)2=9. Change it to the general form is x2+y2-8y+7=0. So A=1, B=1, C=0, D=-8 and E=7.
6 0
3 years ago
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Simplify each expression by distributing and combined bf like terms (SHOW WORK) please
Dafna1 [17]

Answer:

c-39

1. rearrange terms

2.distribute

3.distribute

4. subtract the numbers

5. combine like terms

6.multiply by 1

8 0
3 years ago
In the Salk vaccine field trial, 400,000 children were part of a randomized controlled double-blind experiment. Just about half
EastWind [94]

Answer:

Step-by-step explanation:

From the given information:

The number of children that were randomly allocated to each vaccination group; n₁ = 200,000

No of polio cases X₁ = 57

Now, in the vaccine group:

the proportion of polio cases is:

\hat p_1 = \dfrac{57}{200000}

=  0.000285

The number of children that were randomly allocated to the placebo group, n₂ = 200,000

No of polio cases X₂ = 142

In the placebo group

the proportion of polio cases is:

\hat p_2 = \dfrac{142}{200000}

Null and alternative hypothesis is computed as follows:

H₀: There is no difference in the proportions of polio cases between both groups.  

H₁: There is a difference in the proportions of polio cases between both groups.

Let assume that the level of significance ∝ = 0.05

The test statistic  can be computed as:

Z = \dfrac{\hat p_1-\hat p_2}{\sqrt{\dfrac{\hat p_1 \hat q_1}{n_1}+ \dfrac{\hat p_2 \hat q_2}{n_2}}}

Z = \dfrac{0.000285-0.000710}{\sqrt{\dfrac{0.000285(1-0.000285)}{200000}+ \dfrac{0.000710(1-0.000710)}{200000}}}

Z = \dfrac{-4.25\times 10^{-4}}{\sqrt{\dfrac{0.000285(0.999715)}{200000}+ \dfrac{0.000710(0.99929)}{200000}}}

Z = - 6.03

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From the Z - tables

P-value =  2 × 0.0000

= 0.000

We reject the H₀ provided that P-value is very less.

Therefore, we may conclude that there is a difference in the proportions of polio cases between the vaccine group and placebo group not due to chance.

7 0
3 years ago
A rectangle has an area of (x2 − 17x + 72) square units. Since the area of a rectangle is determined using the formula, A = lw,
klasskru [66]

Answer:

length = (x − 8) units and width = (x − 9) units

Step-by-step explanation:

We need to factor

x^2 - 17x + 72

We need two numbers whose product is 72 and whose sum is -17.

The numbers are -8 and -9.

x^2 - 17x + 72 = (x - 8)(x - 9)

Answer: length = (x − 8) units and width = (x − 9) units

8 0
2 years ago
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