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Lesechka [4]
3 years ago
14

Given the polynomial f(x), if (x+5) is a factor, what else must be true?

Mathematics
2 answers:
myrzilka [38]3 years ago
8 0
<span>if (x+5) is a factor,it means (x+5)=0,
if you plug x= - 5 into the main function you must get a zero.
Hence,
f(-5) = 0 must be true.</span>
marin [14]3 years ago
6 0

-5 is the answer, f(-5)= -0, option D for this question.

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Please answer right away
spayn [35]

<u>Answer:</u>

The correct answer option is \frac { 4 } { 4 9 }.

<u>Step-by-step explanation:</u>

We are to find the probability that both your parents were born on weekend (either Saturday or Sunday).

Total number of days in a week = 7

Number of days in weekend = 2

Probability of being born on weekend = \frac { 2 } { 7 }

P (both parents were born on weekend) = \frac{2}{7} \times \frac{2}{7} = 4/49

3 0
3 years ago
Consider the probability that fewer than 26 out of 107 cell phone calls will be disconnected. Assume the probability that a give
anyanavicka [17]

Answer:

We assume the condition of independence satisifed.

We need to check the following conditions in order to use the normal approximation.

np=107*0.98=104.86 \geq 10

n(1-p)=107*(1-0.98)=2.14 < 10

So we see that we satisfy the first condition, but the second no so then we can't apply the approximation for this case, since we need both conditions at the same time in order to use the normal approximation.

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Let X the random variable of interest, on this case we now that:

X \sim Binom(n=107, p=0.98)

The probability mass function for the Binomial distribution is given as:

P(X)=(nCx)(p)^x (1-p)^{n-x}

Where (nCx) means combinatory and it's given by this formula:

nCx=\frac{n!}{(n-x)! x!}

Solution to the problem

We assume the condition of independence satisifed.

We need to check the following conditions in order to use the normal approximation.

np=107*0.98=104.86 \geq 10

n(1-p)=107*(1-0.98)=2.14 < 10

So we see that we satisfy the first condition, but the second no so then we can't apply the approximation for this case, since we need both conditions at the same time in order to use the normal approximation.

4 0
3 years ago
2 2/5 divided by (-1/4) ?
andrew11 [14]

Answer:

-9.6

Step-by-step explanation:

mark as brainliest

5 0
3 years ago
Read 2 more answers
A set of 10 consecutive odd numbers has a sum of 220. What is the THIRD NUMBER.<br> HELP ME FAST
julsineya [31]
The third number would be 17.
7 0
3 years ago
Find the value of each variable. For the circle, the dot represents the center.
Musya8 [376]

Answer:

Part 1) The measure of angle d is 65°

Part 2) The measure of angle c is 89°

Part 3) The measure of arc a is 131°

Part 4) The measure of arc b is 47°

Step-by-step explanation:

we know that

In an inscribed quadrilateral, opposite angles are supplementary

step 1

Find the measure of angle d

∠d+115°=180°

∠d=180°-115°=65°

step 2

Find the measure of angle c

∠c+91°=180°

∠c=180°-91°=89°

step 3

Find the measure of arc a

we know that

The inscribed angle measures half that of the arc comprising

115°=(1/2)[99°+arc a]

230°=[99°+arc a]

arc a=230°-99°=131°

step 4

Find the measure of arc b

we know that

The inscribed angle measures half that of the arc comprising

∠c=(1/2)[arc a+arc b]

substitute the values

89°=(1/2)[131°+arc b]

178°=[131°+arc b]

arc b=178°-131°=47°

8 0
4 years ago
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