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2 years ago

Anyone please...Explain & solve

Mathematics

2 answers:

Nitella [24]2 years ago

4 0

Answer:

y = -2x

Step-by-step explanation:

We have direct variation means

y =kx

We know y and x

10 = k (-5)

Solve for k by diving by -5

10/-5 = k (-5)/-5

-2 = k

y = -2x

lukranit [14]2 years ago

4 0

Answer:

y = -2x

Step-by-step explanation:

General formula for direct proportion: y = kx, where k is the constant of proportionality. If y = 10 when x = -5, then 10 = -5k, and k = -2.

Then the desired relationship is y = -2x.

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46 degrees by alternate interior angles

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Brad had a yard that he wants to fence. The dimensions of the yard are 40 feet by 55 feet. How much fencing would he need to enc

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3 years ago

In a binomial experiment with 45 trials, the probability of more than 25 success can be approximated by What is the probability

Pani-rosa [81]

Answer:

0.6 is the probability of success of a single trial of the experiment

Complete Problem Statement:

In a binomial experiment with 45 trials, the probability of more than 25 successes can be approximated by $P(Z>\frac{(25-27)}{3.29})$

What is the probability of success of a single trial of this experiment?

Options:

0.07
0.56
0.79
0.6

Step-by-step explanation:

So to solve this, we need to use the binomial distribution. When using an approximation of a binomially distributed variable through normal distribution , we get:

$\mu =\frac{np}{\sigma}$ = $\sqrt{np(1-p)}$

now,

$Z=\frac{X-\mu}{\sigma}$

so,

by comparing with $P(Z>\frac{(25-27)}{3.29})$ , we get:

μ=np=27

$\sigma=\sqrt{np(1-p)}$ =3.29

put np=27

we get:

$\sigma=\sqrt{27(1-p)}$ =3.29

take square on both sides:

10.8241=27-27p

27p=27-10.8241

p=0.6

Which is the probability of success of a single trial of the experiment

5 0

3 years ago

The difference between the squares of two consecutive numbers is 23. what are the two numbers?

Ksju [112]

(x+1)^2-x^2=23

x^2+2x+1-x^2=23

2x+1=23

2x=22

x=11

11^2 = 121

x+1 =12

12^2=144

144-121 = 23

4 0

3 years ago

Please help!! Question is in the picture!!

Debora [2.8K]

$\frac{17}{60}$ and $\frac{1}{4}$ are the experimental probabilities from the table.

Solution:

Total number of times spun the spinner = 60

Number of times getting 1 = 12

Number of times getting 2 = 17

Number of times getting 3 = 15

Number of times getting 4 = 16

Experimental probabilities from the table:

Probability of getting 1 = $\frac{12}{60}=\frac{1}{5}$

Probability of getting 2 = $\frac{17}{60}$

Probability of getting 3 = $\frac{15}{60}=\frac{1}{4}$

Probability of getting 4 = $\frac{16}{60}=\frac{4}{15}$

To determine which are the experimental probabilities from the table:

Option A: 15

This is not obtained above. So, it is not the experimental probability.

Option B: $\frac{17}{60}$

This is obtained in the probability of getting 2.

So, it is the experimental probability.

Option C: $\frac{1}{4}$

This is obtained in the probability of getting 3.

So, it is the experimental probability.

Option D: $\frac{7}{15}$

This is not obtained above. So, it is not the experimental probability.

Option E: $\frac{12}{43}$

This is not obtained above. So, it is not the experimental probability.

Hence $\frac{17}{60}$ and $\frac{1}{4}$ are the experimental probabilities from the table.

5 0

3 years ago