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3 years ago

We’re not done just yet! Thanks for anyone who helped, means a lot to me!

Mathematics

2 answers:

olga_2 [115]3 years ago

6 0

Answer: Choice A) The number that is 5 to the left of -3 on the number line.

Explanation:

Refer to the diagram below. The value -3 is 3 units to the left of 0 on the number line. So you start at 0 and move 3 spaces to the left to arrive at -3.

Once you're at -3 on the number line, you'll move 5 more spaces to the left to arrive at -8

We can think of -3+(-5) as -3-5, both of which simplify to -8

Or we can think of it like saying -3+(-5) = -1*(3+5) = -1*8 = -8. Here I factored out a negative 1, and then added. The final result is negative since we're moving to the left in the negative territory.

bonufazy [111]3 years ago

5 0

Answer:

Step-by-step explanation:

if im reading it right

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Samples of rejuvenated mitochondria are mutated (defective) in 1% of cases. Suppose 18 samples are studied, and they can be cons

Temka [501]

Probability that no samples are mutated is 0.83, probability that at most one sample is mutated is 0.9812 and probability that more than half the samples are mutated is 0.

Given percentage of rejuvenated mitochondria defective is 1%, and sample size is 18.

Binomial distribution is the probability of exactly x successes on n repeated trials and X can have two outcomes.

P(X=x)= $C_{n,x} p^{x}(1-p)^{n-x}$

percentage of defective rejuvendated mitochondria=1%

p=0.01

Sample size=18

n=18

a) No samples are mutated

This means P(X=0)= $C_{18,0}(0.01)^{0} (0.99)^{18}$

=0.83

b) At most one sample is mutated.

P(X<=1)=P(X=0)+P(X=1)

so,

P(X=0)= $C_{18,0} (0.01)^{0} (0.99)^{18}$

=0.83

P(X=1)= $C_{18,1}(0.01)^{1} (0.99)^{17}$ =

=0.1512

P(X<=1)=0.83+0.1512

=0.9812

c) More than half the samples are mutated.

P(X>9)=P(X=10)+P(X=11)+P(X=12)+P(X=13)+P(X=14)+P(X=15)+P(X=16)+P(X=17)+P(X=18)

Using two decimals digits precision all will be 0.

Hence Probability that no samples are mutated is 0.83, probability that at most one sample is mutated is 0.9812 and probability that more than half the samples are mutated is 0.

Learn more about probability at brainly.com/question/24756209

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4 0

2 years ago

JAB Consulting received a promissory note of $13,500 at 7% simple interest for 15 months from one of its customers. After 6 mont

Tasya [4]

Answer:

Amount = $14,024 (Approx)

Step-by-step explanation:

Given:

Amount received P = $13,500

Rate r = 7% = 0.07

Time t = 15 month = 15/12 = 1.25 = year

Discount rate = 6% = 0.06

Computation:

Maturity value = P[1+rt]

Maturity value = 13,500[1+(0.07)(1.25)]

Maturity value = $14,685.61

Time = 15 month - 6 month

Time = 9 month = 9/12 = 0.75 year

Amount = MV[1-dt]

Amount = 14,685.61[1-(0.75)(0.06)]

Amount = $14,024 (Approx)

7 0

3 years ago

If f(x) = 3x - 1 and g(x) = x + 2, find (f- g)(x).

VMariaS [17]

Answer:

(f-g)(x) would be 2x-3

5 0

3 years ago

What is the slope of the line y = -5x +1 ?

laila [671]

Answer:

-5

Step-by-step explanation:

Remember the slope intercept form:

y = mx + b

m = Slope value

b = y-intercept

So in this case,

y = (-5)x + b

m = -5

b = 1

Thus the answer is -5

3 0

3 years ago

At the beach, 11% of people have white towels and 53% have blue towels. If

telo118 [61]

Answer:

36 percent.

Step-by-step explanation:

We have been given that 11 percent of people of the peach have white towels, and 53 percent have blue towels.

With this information, we can find the remaining percentage of people that have red towels.

Recall that the total percentage is always 100 percent.

lets make r for the percentage of people that have red towels.

You can solve it by changing it to fraction, decimal, or just keep it at percent.

I will show you all of the possible ways.

Percent:

11 percent plus 53 percent plus r =100 percent

combine the like terms, or add 11 plus 53 to simplify the equation.

You have 64 percent plus r =100 percent Our goal is to isolate r, so subtract both sides by 64 percent.

100-64 is 36 percent.

r=36 percent of people who have red towels.

With fractions.

Write it as 11/100 plus 53/100 plus r/100= 100/100.

Combine the fractions.

64/100 plus r/100=100/100.

Subtract both sides by 64/100.

You are left with r=36/100, 9/25, or 36 percent.

With decimals.

11 percent as a decimal is 0.11. Just move the decimal spot 2 times. In 11, since you can write it as 11.0, you move it to the right twice.

53 percent is 0.53.

r is r.

100 percent is 1.

0.11 plus 0.53 plus r=100

Combine or add 0.53 and 0.11. That is 0.64.

Subtract both sides by 0.64.

You get r to be 0.36 or 36 percent.

I hope this helps, and I hope you have a good day!

8 0

3 years ago

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