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faust18 [17]
3 years ago
15

So my mind went blank here, however im paying 30 points for doing it step by step, thanks in advance! And it's also two question

s so I'll bud in a 10 extra point for doing the second step by step.
Mr.Lander wants to buy new lab goggles that cost $31.50. He has $4.50 and plans to save $2.25 each week. How many weeks will it take him to save the money?


A. 14 weeks C. 11 weeks

B. 12 weeks D. 10 weeks


(step by step!)




Also this one,

-2(p-1) = 15

A: 13/2 B: 8


C: All real numbers D: -13/2

( step by step!)




Thank you, ill do 65 points instead!
Mathematics
2 answers:
ioda3 years ago
5 0

1.

2.25x+4.50 = 31.50

2.25x = 27

x = 27 / 2.25 = 12

Answer is B 12 weeks


2.

-2(p-1) =15

-2p +2 = 15

-2p =13

p = 13 / -2 =  -13/2

Answer is D -13/2


expeople1 [14]3 years ago
3 0
The first part is 14 weeks add the 31 and the 4 then divide it by the 2
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klio [65]

Answer with Step-by-step explanation:

We are given that

f(x)=3^{x-2}

g(x)=f(3x)+4

We have to write the rule for function g and describe the transformation between f and g.

Compress the function by scale factor 3 and the translation rule is given by

(x,y)\rightarrow (3x,y)

Then, we get h(x)=f(3x)=3^{3x-2}

Now, shift the y coordinate 4 units above the origin.

Then, the translation rule is given by

(x,y)\rightarrow (x,y+4)

Then , we get

g(x)=3^{3x-2}+4

3 0
3 years ago
A pair of fair dice is cast. Let Edenote the event that the number landing uppermost on the first die is a 1 and let Fdenote the
iris [78.8K]

Answer:

They are not independent

Step-by-step explanation:

Given

E = Occurrence of 1 on first die

F = Sum of the uppermost occurrence in both die is 5

Required

Are E and F independent

First, we need to list the sample space of a roll of a die

Event\ 1 = \{1,2,3,4,5,6\}

Next, we list out the sample space of F

Event\ 2 = \{2,3,4,5,6,7,3,4,5,6,7,8,4,5,\

6,7,8,9,5,6,7,8,9,10,6,7,8,9,10,11,7,8,9,10,11,12\}

In (1): the sample space of E is:

E = \{1\}

So:

P(E) = \frac{n(E)}{n(Event\ 1)}

P(E) = \frac{1}{6}

In (2): the sample space of F is:

F = \{5,5,5,5\}

So:

P(F) = \frac{n(F)}{n(Event\ 2)}

P(F) =\frac{4}{36}

P(F) =\frac{1}{9}

For E and F to be independent:

P(E\ and\ F) = P(E) * P(F)

Substitute values for P(E) and P(F)

This gives:

P(E\ and\ F) = \frac{1}{6} * \frac{1}{9}

P(E\ and\ F) = \frac{1}{54}

However, the actual value of P(E and F) is 0.

This is so because E = \{1\} and F = \{5,5,5,5\} have 0 common elements:

So:

P(E\ and\ F) = 0

Compare P(E\ and\ F) = \frac{1}{54} and P(E\ and\ F) = 0.

These values are not equal.

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6 0
3 years ago
Kira looked through online census information to determine the average number of people living in the homes in her city. What is
Pani-rosa [81]
<h3>Answer: D. Kira used published data that is quantitative.</h3>

The published data refers to the government census info being published online. She did not do an observational study because she didn't go to each household herself (rather let the census workers do that task).

The data is quantitative because she is looking at the number of people living in homes in her city. Quantitative data is simply dealing with quantities or numbers. Contrast this with qualitative data that talks about something like color choice.

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GarryVolchara [31]

Answer:

4, see below :)

Step-by-step explanation:

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First we add 3.5 and 2

3 and 2 are in the ones place so:

5, and then you added the .5

5.5

Then:

5.5 - 1.5

First we subtract the tenths place so:

.5 - .5 = 0

Then the ones:

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6 0
3 years ago
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Answer:

Step-by-step explanation:

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8,5                            8,6

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