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3 years ago

Pleaseee help meeeee

Mathematics

1 answer:

vazorg [7]3 years ago

8 0

Answer:

x = 13

Step-by-step explanation:

∠ EGB = ∠ AGF = 77° ( vertically opposite angles )

AB is a straight line so the 3 angles on it sum to 180° , that is

90 + x + 77 = 180

x + 167 = 180 ( subtract 167 from both sides )

x = 13

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Solve for z.<br> 12 = 15 ( z - 1/5 )

bija089 [108]

Answer:

1=z

Step-by-step explanation:

Multiply 15 to the parenthesis.

12=15z-15/5

12=15z-3

Add 3 to both sides

15=15z

Simplify

1=z

5 0

3 years ago

The height, h, of a ball that is tossed into the air is a function of the time, t, it is in the air. The height in feet for t se

Ivenika [448]

Answer:

e) none

Step-by-step explanation:

The first thing that we need to realise is that this question is set to a practical example of a ball being tossed into the air for a period of time. Thus, we know that:

a) time cannot be negative

b) a ball cannot travel a negative distance in height from where it was tossed it into the air (given that this starting position is also the ground)

In the context of what the problem asks us to achieve, which is to find the domain, we now know that:

a) t ≥ 0

b) the function h(t) is only practical when h(t) ≥ 0

In other words, we know that the domain starts at t = 0, however we need to find when the ball drops back onto the ground. We can do this by solving h(t) = 0:

h(t) = -16t^(2) + 96t

0 = -16t^(2) + 96t

0 = -16t(t - 6) (Factorise -16t^(2) + 96t)

So, now we get:

-16t = 0, therefor t = 0

t - 6 = 0, therefor t = 6

Thus, the ball is on the ground at t = 0 seconds and t = 6 seconds; it is between these two values of t that the domain exists and that the problem is practical.

Now, looking at the multiple choice options, it seems as though none of them are correct, therefor the answer would be e) none.

The other way to work through this question (particularly if it is just multiple choice) is that, after realising that the ball is tossed into the air at t = 0 seconds and then drops at some point later, we could already discount a), b) and c) as answers since they include infinity in the domain, which is not practical for this problem.

Then, we could substitute t = 5 into the equation to get:

h(t) = -16(5)^2 + 96*5

h(t) = -16*5*5 + 96*5

h(t) = -80*5 + 96*5

Since we need h(t) to be 0 at the end value of the domain, this is not the correct answer. Thus, the answer is e) none.

6 0

3 years ago

8 more than a number is greater than or equal to 0. Find the number.

Alenkinab [10]

we are given that

8 more than a number is greater than or equal to 0

Let's assume that number as 'x'

8 more than a number is

$x+8$

now, it is greater than or equal to 0

so, we can write as

$x+8\geq 0$

now, we can solve for x

Subtract both sides 8

$x+8-8\geq 0-8$

$x\geq -8$ ...............Answer

7 0

4 years ago

11. The ages (in years) of 11 children and the number of words in their vocabulary. Find the correlation coefficient r.

ludmilkaskok [199]

Start from the bottom now u there 110 languages and 3

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3 years ago

Assume that when Human Resource managers are randomly selected, 62% say job applicants should follow up within two weeks. If 25

stellarik [79]

Using the binomial distribution, it is found that there is a 0.1008 = 10.08% probability that exactly 18 of them say job applicants should follow up within two weeks.

<h3>What is the binomial distribution formula?</h3>

The formula is:

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

$C_{n,x} = \frac{n!}{x!(n-x)!}$

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

The values of the parameters are given as follows:

n = 25, p = 0.62.

The probability that exactly 18 of them say job applicants should follow up within two weeks is P(X = 18), hence:

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

$P(X = 18) = C_{25,18}.(0.62)^{18}.(0.38)^{7} = 0.1008$

0.1008 = 10.08% probability that exactly 18 of them say job applicants should follow up within two weeks.

More can be learned about the binomial distribution at brainly.com/question/24863377

#SPJ1

6 0

2 years ago