10. The product of two binomials is

Solve the following equation fro g:2(g-h)=b+4

monitta

2g - 2h = b + 4
2g = b + 4 + 2h
g = (b + 4 + 2h) / 2

4 0

3 years ago

Read 2 more answers

Convert into slope intercept form?

Alexeev081 [22]

<h3>Answer:</h3>

y = 2x + 5

<h3>Step-by-step explanation:</h3>

<u>Definitions</u>:

Slope Intercept form; y = mx + b

m = slope

b = y intercept

Step 1: Since the slope is given plug it into y = mx

y = 2x + b

Step 2: Plug a points' x and y into their corresponding spots to solve for b

(33) = 2(14) + b

Simplify and solve

33 = 28 + b

-28 -28

5 = b

Plug both your slope in and your y intercept into y = mx + b

y = 2x + 5

6 0

3 years ago

You are standing on a small fire tower 50 feet from a tree. You notice a squirrel in the tree. You measure the angle of depressi

irina [24]

Answer:

44.81 feet

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

In the right triangle ACD

Find the length side AC (height of the small fire tower)

$tan(52^o)=\frac{AC}{50}$ ---> by TOA (opposite side divided by the adjacent side)

Solve for AC

$AC=tan(52^o){50}$

$AC=64\ ft$

step 2

In the right triangle ABE

Find the length side AB

$tan(21^o)=\frac{AB}{50}$ ---> by TOA (opposite side divided by the adjacent side)

solve for AB

$AB=tan(21^o){50}$

$AB=19.19\ ft$

step 3

How many feet off the ground is the squirrel?

Subtract the length side segment AB from the length side segment AC

so

$64-19.19=44.81\ ft$

5 0

3 years ago

Twenty percent of drivers driving between 10 pm and 3 am are drunken drivers. In a random sample of 12 drivers driving between 1

Lesechka [4]

Answer:

(a) 0.28347

(b) 0.36909

(c) 0.0039

(d) 0.9806

Step-by-step explanation:

Given information:

n=12

p = 20% = 0.2

q = 1-p = 1-0.2 = 0.8

Binomial formula:

$P(x=r)=^nC_rp^rq^{n-r}$

(a) Exactly two will be drunken drivers.

$P(x=2)=^{12}C_{2}(0.2)^{2}(0.8)^{12-2}$

$P(x=2)=66(0.2)^{2}(0.8)^{10}$

$P(x=2)=\approx 0.28347$

Therefore, the probability that exactly two will be drunken drivers is 0.28347.

(b)Three or four will be drunken drivers.

$P(x=3\text{ or }x=4)=P(x=3)\cup P(x=4)$

$P(x=3\text{ or }x=4)=P(x=3)+P(x=4)$

Using binomial we get

$P(x=3\text{ or }x=4)=^{12}C_{3}(0.2)^{3}(0.8)^{12-3}+^{12}C_{4}(0.2)^{4}(0.8)^{12-4}$

$P(x=3\text{ or }x=4)=0.236223+0.132876$

$P(x=3\text{ or }x=4)\approx 0.369099$

Therefore, the probability that three or four will be drunken drivers is 0.3691.

(c)

At least 7 will be drunken drivers.

$P(x\geq 7)=1-P(x$

$P(x\leq 7)=1-[P(x=0)+P(x=1)+P(x=2)+P(x=3)+P(x=4)+P(x=5)+P(x=6)]$

$P(x\leq 7)=1-[0.06872+0.20616+0.28347+0.23622+0.13288+0.05315+0.0155]$

$P(x\leq 7)=1-[0.9961]$

$P(x\leq 7)=0.0039$

Therefore, the probability of at least 7 will be drunken drivers is 0.0039.

(d) At most 5 will be drunken drivers.

$P(x\leq 5)=P(x=0)+P(x=1)+P(x=2)+P(x=3)+P(x=4)+P(x=5)$

$P(x\leq 5)=0.06872+0.20616+0.28347+0.23622+0.13288+0.05315$

$P(x\leq 5)=0.9806$

Therefore, the probability of at most 5 will be drunken drivers is 0.9806.

5 0

3 years ago

Jasmine buys a turkey every year . The first time she bought a turkey, in year 0, it cost $15.50. She notices the price is getti

Wittaler [7]

The price of the turkey based on the percentage given is $15.81.

<h3>How to illustrate the information?</h3>

It was stated that the cost is $15.50 but that there was a 2% increment in price.

Therefore, the new price will be:

= $15.50 + (2% × $15.50)

= $15.50 + $0.31

= $15.81

Learn more about percentages on:

brainly.com/question/24304697

#SPJ1

6 0

2 years ago