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NARA [144]
3 years ago
15

As a salesperson, you are paid $50 per week plus $3 per sale. This week you want your pay to be at least $110. What is the minim

um number of sales you must make to earn at least $110?
Mathematics
2 answers:
alexgriva [62]3 years ago
7 0
110 (goal) - 50 (base pay) = 60 (pay from sales only)

60 (total pay from sales) / 3 (cost per individual sale) = 20 (qty of sales)
Paul [167]3 years ago
6 0
3s+50=|110
           |-50
      <u>3</u>s= <u>60</u>
      3      3
        s =20

Therefore the salesperson will need 20 sales.
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Brown tree snakes are an invasive species causing huge environmental and financial damage in Guam. Researchers captured brown tr
storchak [24]

Answer:

Null Hypothesis, H_0 : \mu \leq 120 grams

Alternate Hypothesis, H_A : \mu > 120 grams

Step-by-step explanation:

We are given that researchers captured brown tree snakes on Guam's Andersen Air Force Base, and a random sample of 250 of these snakes were weighed.

The researchers want to perform a hypothesis test to see if the mean weight of a brown tree snake in Guam is significantly greater than 120 grams.

<u><em>Let </em></u>\mu<u><em> = mean weight of a brown tree snake in Guam.</em></u>

So, Null Hypothesis, H_0 : \mu \leq 120 grams

Alternate Hypothesis, H_A : \mu > 120 grams

Here, <u>null hypothesis states that</u> the mean weight of a brown tree snake in Guam is smaller than or equal to 120 grams.

On the other hand, <u>alternate hypothesis states that</u> the mean weight of a brown tree snake in Guam is significantly greater than 120 grams.

So, this would be the appropriate null and the alternative hypothesis to test this claim.

8 0
4 years ago
Write an equation of the line that passes through (1, 2) and is perpendicular to the line y=13x+4.
Serhud [2]

Answer:

Step-by-step explanation:

y=-1/13x   since it is perpendicular flip it and make it negative

6 0
3 years ago
Read 2 more answers
Create a proportion using the form = to represent the following word problem.
Anna11 [10]
Answer :
x = 53.85

Step by step explanation:
If 78% of x (some numbers) is equal to 42, then we must set this as an equation to find it.

1) Rewriting 78% as a fraction and considering that when we say 78% of some number (x) we mean a product.
78% = 78/100 ➡️ 78/100x = 42

2) Then we can go on :
100 * 78/100x = 42 * 100
78x = 4200
78x/78 = 4200/78 ➡️ x = 53.85

3) Alternatively, simply dividing 42 by 0.78 (78%) would come to the same result :

42/0.78 = 53.85
4 0
3 years ago
Read 2 more answers
can someone pls help me? i have no idea what to do. pls show the work steps for the questions. i will mark u as
tiny-mole [99]

Ok, so the question is based on geometric progression. Remember, the formula for calculating the nth-term of a geometric progression is: a*r^{n-1}. The a in the expression stands for the 1st term of the sequence, and r is the common ratio of the elements of the sequence. Now let's take a look at the problem.

"A ping pong ball has a 75% rebound ration". We can infer that our common ratio, r, is 75% which is 0.75.

"When you drop it from a height of k feet...", this means the first height you drop it from, a.k.a, the first term.

Now going back to the expression, the nth-term = a*r^{n-1}, we can substitute our common ration, 0.75 with r, and our 1st term, k, with a. This becomes: k * 0.75^{n-1}. This becomes our expression.

a. The highest height achieved by the ball after six bounces. Our nth-term here is 6, so let's use our expression to find the 6th term. n_{6} = 235 * 0.75^{6-1} = 235*0.75^{5} = 235*0.2373 = 55.7655ft

b. The total distance travelled by the ball when it strikes the ground for the 12th time. This involves the use of the sum of elements in the geometric progression. The formula for that is \frac{a(1 - r^{n})}{1-r}, provided that r is less than 1, which it is in this case, since 0.75 is less than one. Our nth-term here is 12, so we substitute.

\frac{235(1-0.75^{12})}{(1-0.75)} = 910.2242ft

6 0
3 years ago
25 + 14 = blank + 25
sleet_krkn [62]

Answer:

14

Step-by-step explanation:

25 + 14 = 14 + 25

39 = 39

6 0
3 years ago
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