Answer:
<u>Option A) 19 to 25</u>
Step-by-step explanation:
In the last election, 72% of the voters were in favor of a new outlet mall and
28% were against it.
Vanessa creates random samples of the voters using the numbers 1 to 25.
So, There are 25 numbers to represent all the voters
The range of number that could be used to represent the voters who were against the new outlet mall = 28% of 25 numbers = 0.28 * 25 = 7
So, <u>7 numbers only</u> could be used to represent the voters who were against the new outlet mall.
Check the options to find which range has only 7 numbers.
A) 19 to 25 ⇒ 7 numbers
B) 7 to 18 ⇒ 12 numbers
C) 15 to 25 ⇒ 11 numbers
D) 1 to 18 ⇒ 18 numbers
The answer is <u>option A) 19 to 25</u>
Subtracting mx from both sides, we get y-mx=b
Answer:
How many items did Bob produce last week? 32 items.
Step-by-step explanation:
(1) Last week Bob was paid total of $480 for the items that he produced that week.
(2) This week Bob produced 2 items more than last week and was paid a total of $510 for the items that he produced this week.
a) Let's start with the simplest case: he produced 36 or less items this week.
In this case he produced less than 36 items last week too.
So he was paid the same amount of dollar per item.
Using (1) and (2) assumptions we have:
$480+2X=$510
⇒2X=$510-$480
⇒2X=$30
⇒2X=$30/2
⇒X=$15
He was paid $15 per item.
Last week he was paid $480.
480/15= 32 items.
This week he was paid $510.
510/15=34 items.
The other cases has no solutions.
Answer:
y = 5
Step-by-step explanation:
AB = | 8 - (- 4) | = | 12 |= 12
Divide 12 by the sum of the parts of the ratio, 1 + 3 = 4
12 ÷ 4 = 3
Thus
y = 8 - 3 = 5
Answer:
'The closest distance between Earth and Jupiter is greater than the closest distance between Earth and Mercury by approximately 7.66 times'.
Step-by-step explanation:
We are given that,
Distance between Earth and Jupiter = 5.9 × 10⁸ kilometers
Distance between Earth and Mercury = 7.7 × 10⁷ = 0.77 × 10⁸ kilometers
So, we see that,
5.9 × 10⁸ > 0.77 × 10⁸
Also, Ratio = 
That is,
'The closest distance between Earth and Jupiter is greater than the closest distance between Earth and Mercury by approximately 7.66 times'.