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Mathematics

1 answer:

slega [8]2 years ago

3 0

Answer:

Step-by-step explanation:

If we think about a right triangle, we get that the hypotenuse is 24ft or the length of the ladder. The base of the ladder is 15ft away from the building which is the leg of the right triangle. The screenshot is the diagram (my drawing isn't that good lol:))

Thus we can use cosine function with the angle between the ladder and the ground since we need to find the angle and we get

$cos\alpha = \frac{15}{24}$

and $\alpha = 51.3 degrees$

The angle is 51.3 degrees hope that helps!

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1. What is the slope of the line that passes through the points E(3, 0) and F (6, -3)?

Mama L [17]

Answer:

1. m=- -1 2. -1+1

Step-by-step explanation:

Ok for the first one you need to label 3 x1 0 y1 6 x2

and -3 y2

Next you need to do y2-y1 over x2-x1 so fill that in and your equasion is (-3-0)

------------ = -3

( 6-3) ----

That reduces to -1 because -3 divided by 3 is -1

As for number 2 we need to find b to do this pick any of the y's from before we can go with 0 so the 0 is y in the equasion and we already learned slope is -1 so your equasion should be 0=--1+b ok to solve this you need to add -1 to both sides since its a negitive so you add 1 to 0 which is 1 and when you add 1 to -1 it cancells it out so you have 1=b so b is 1 for the equsion you just fill it in so it is y=- -1+1

I hope I helped

5 0

2 years ago

two dice are rolled in succession. determine the probability that their sum is 8 or more, given that the first die is a 4 or mor

viva [34]

See the pic for answer.

8 0

3 years ago

After an extensive advertising campaign, the manager of a company expects the proportion of potential customers that recognize a

lina2011 [118]

Answer:

Step-by-step explanation:

Hello!

The study variable is:

X: number of customers that recognize a new product out of 120.

There are two possible recordable outcomes for this variable, the customer can either "recognize the new product" or " don't recognize the new product". The number of trials is fixed, assuming that each customer is independent of the others and the probability of success is the same for all customers, p= 0.6, then we can say this variable has a binomial distribution.

The sample proportion obtained is:

p'= 54/120= 0.45

Considering that the sample size is large enough (n≥30) you can apply the Central Limit Theorem and approximate the distribution of the sample proportion to normal: p' ≈ N(p; $\sqrt{\frac{p(1-p)}{n} }$ )