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Advocard [28]
3 years ago
7

If the height is 24, solve for x. h=-16x^2+8x+48

Mathematics
1 answer:
disa [49]3 years ago
8 0

Answer:

x=  

32

7+  

3121

​  

 

​  

,  

32

7−  

3121

​  

 

​  

 

Step-by-step explanation:

h+16^2-8x-48=0

-7x+16x^2-48=0

x=  

32

7+  

3121

​  

 

​  

,  

32

7−  

3121

​  

 

​  

 

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32 percent of the customers of a fast food chain order the Whopper, French fries and a drink. A random sample of 10 cash registe
weqwewe [10]

Answer: 0.0023

Step-by-step explanation:

Let X be the binomial variable that represents the number of receipts will show that the above three food items were ordered.

probability of success p = 32% = 0.32

Sample size : n= 10

Binomial probability function :

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

Now, the probability that eight receipts will show that the above three food items were ordered :

P(X=8)=\ ^{10}C_8(0.32)^8(1-0.32)^2\\\\=\dfrac{10!}{8!2!}(0.32)^8(0.68)^2\\\\=5\times9(0.0000508414176684)\\\\=0.00228786379508\approx0.0023

hence, the required probability = 0.0023

8 0
3 years ago
Please help.<br> Explain please.
Sunny_sXe [5.5K]
When n = 1, 2(1) + 1 = 3

When n = 2, 2(2) + 1 = 5

When n = 3, 2(3) + 1 = 7

When n = 4, 2(4) + 1 = 9

When n = 5, 2(5) + 1 = 11

Sum = 3 + 5 + 7 + 9 + 11 = 35

----------------------------------------------------
Answer: 35
----------------------------------------------------
4 0
3 years ago
Read 2 more answers
bought a new car in 2011 for 25000. in 2015, joe was offered a fair price of 12000 for his car but he turned it down. build a li
Mrrafil [7]

Answer:

y=-3,250t+25,000

Step-by-step explanation:

we know that

The linear equation in slope intercept form is equal to

y=mx+b

where

m is the slope of unit rate of the linear equation

b is the y-intercept or initial value of the linear equation

Let

t ----> the number of years since 2011

y --->the car's value

In this problem the year 2011 represent t=0

so

the year 2015, represent t=4 years (2015-2011)

we have the ordered pairs

(0,25,000) ----> represent the y-intercept

(4,12,000)

<em>Find the slope m</em>

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{t2-t1}

substitute the values

m=\frac{12,000-25,000}{4-0}

m=\frac{-13,000}{4}

m=-\$3,250\ per\ year ---> is negative because is a decreasing function

we have

b=\$25,000 ----> value of y when the value of x is equal to zero (initial value)

substitute the given values

y=-3,250t+25,000

3 0
3 years ago
Read 2 more answers
Can someone answer this please and please answer it correctly please show work I need it today
Lostsunrise [7]

Answer: 45

Step-by-step explanation:

Total number of 8th graders that signed up = 30

9 dropped out. So the total number 8th graders on board the game

= 30 - 9 = 21

46 2/3 % of the club are 8th graders i.e 21

Let T be the total number of students in the club

46 2/3 % T = 21

(140/3)% T = 21

(140/300)T = 21

T = (21x300)/140 = 45

Therefore, there are 45 students on the club

3 0
3 years ago
19. Use the unit circle to find the value of tan 315º.<br> Show work pls.
Free_Kalibri [48]

Answer: -1

Step-by-step explanation:

First change tan(315) to:

\frac{\sin(315)}{\cos(315)}

Then evaluate the sine and cosine function. What is the y component of 315 degrees? What is the x component of 315 degrees?

-\frac{\sqrt{2} }{2} /\frac{\sqrt{2} }{2} =-1

7 0
3 years ago
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