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zepelin [54]
11 months ago
12

Simplify the expressions:

Mathematics
1 answer:
Blizzard [7]11 months ago
7 0

Answer:

a. (7x²+2) + (2x²+3)

= 9x² + 5

b. (5x + 2) + (8x + 3)

= 13x +5

c. (5x)(8x + 3)

= 40x² + 15x

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) The manager of a local Gap store estimates that on average the probability of a customer entering the store and will purchase
xeze [42]

Answer: 1. 0.0256

2. 0.4096

Step-by-step explanation:

Binomial probability formula , to find the probability of getting x successes:

P(x)=^nC_xp^x(1-p)^{n-x} , where n= Total number of trials

p= Probability of getting success in each trial.

Let x be the number of customers will make purchase.

As per given , we have

p= 0.20

n= 4

1. The probability that 3 of the next 4 customers will make a purchase will be:-

P(x=3)=^4C_3(0.20)^3(1-0.20)^{4-3}

P(x=3)=(4)(0.20)^3(0.80)^{1}\ \ [\because\ ^nC_{n-1}=n]

P(x=3)=(4)(0.008)(0.80)=0.0256

Hence, the probability that 3 of the next 4 customers will make a purchase = 0.0256

2. The probability that none of the next 4 customers will make a purchase will be :

P(x=0)=^4C_0(0.20)^0(1-0.20)^{4-0}

P(x=0)=(1)(0.80)^{4}\ \ [\because\ ^nC_{0}=1]

P(x=0)=0.4096

Hence, the probability that none of the next 4 customers will make a purchase= 0.4096

5 0
3 years ago
Given that f(x) = 2x − 5, find the value of x that makes f(x) = 15.
Vladimir79 [104]

Answer:

25

Step-by-step explanation:

so you replace all the x's with 15 and it becomes

2×15-5

2×15=30

30-5=25

8 0
3 years ago
If Happie had ridden exactly 100 feet in 25
Strike441 [17]

Answer:

The speed rate is 100 feet per 25 seconds, or 20 feet every 5 seconds, (100 / 5 = 20)

Every minute is 60 seconds long, this means that to find out how fast she would roll in one minute we just need to do 60 / 5 = 12 and then do 12 x 20

12 x 20

10 x 20 = 200 feet per second

2 x 20 = 40 feet per second

200 + 40 = 240 feet per second

Happie would roll 240 feet in a minute at the speed of 100 feet per 25 seconds

Hope this helps!

6 0
3 years ago
Read 2 more answers
Which term is the question
Pani-rosa [81]

Answer:

trinomial

Step-by-step explanation:

Given polynomial has three terms, therefore it is a trinomial.

7 0
3 years ago
The table shows the number of words a person types of different amounts of time. What is the rate of words per minute?
Setler [38]

Answer:

<em>35 words per minute. </em>

Step-by-step explanation:

To find the answer you have to divide <em>Minutes</em> by <em>Words Typed</em>.  

105 ÷ 3 = 35.

175 ÷ 5 = 35.

315 ÷ 9 = 35.

<em>Therefore, our answer is 35.</em>

8 0
3 years ago
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