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3 years ago

25% of 200 is _________.

Mathematics

2 answers:

telo118 [61]3 years ago

8 0

Simple, change 25% into 0.25.

Thus,

n=0.25*200
n=50

thus, your answer is, 25% of 200 is 50.

IceJOKER [234]3 years ago

6 0

25% x 200
25%=.25
.25x200= 50

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State an equation you could use to find the value of x. Then find the value of x in simplest form.

Alex17521 [72]

You can use the Pythagorean Theorem:

a^2+b^2=c^2
x^2+x^2=(7√2)^2
2x^2=49*2 (combine like terms and square the 7√2)
x^2=49 (divide both sides by 2)
x=7 (square root both sides)

So the equation is 2x^2=98 (simplest form) and x=7

Hope this helps

7 0

3 years ago

Jessie is fencing in a rectangular plot outside of her back door so that she can let her dogs out to play. She has 60 feet of fe

DerKrebs [107]

Answer:

Dimensions are length 15 feet and width 30 feet.

Maximum area of the plot is 450 feet².

Step-by-step explanation:

Let the length of the plot = x feet and width = y feet.

Since, the amount of fencing to be applied on the three sides of the plot is 60 feet.

We have,

$2x + y = 60$ i.e. $y=60-2x$

Now, Area of the rectangular plot = Length × Width

i.e. Area of the rectangular plot = $x \times y$

i.e. Area of the rectangular plot = $x\times (60-2x)$

i.e. Area of the rectangular plot = $-2x^2+60x$

<em>Since, the maximum of the quadratic equation $ax^2+bx+c$ will be obtained at $x= \frac{-b}{2a}$ .</em>

Then, the maximum of the area of the plot is at the point $x= \frac{-60}{2\times (-2)}$ i.e. x= 15

Then, maximum area of the rectangular plot = $-2x^2+60x$

i.e. maximum area of the rectangular plot = $-2\times 15^2+60\times 15$

i.e. maximum area of the rectangular plot = -450+900 = 450 feet²

Hence, Maximum area of the plot is 450 feet².

Then, $y=60-2\times 15$ implies $y=60-30$ i.e. y= 30.

Hence, the maximum area is enclosed by the length 15 feet and width 30 feet.

6 0

4 years ago

superman can fly at a rate of 60 miles per 4 minutes. At this rate, how long will it take superman to go from metropolis to goth

Jlenok [28]

This is a proportion problem involving cross multiplication.
$\frac{60}{4}$ = $\frac{340}{x}$

Now first multiply 340 x 4 which equals 1,360
Now divide that number by 60 to get your X value
Answer is 22.67 minutes or 23 if it needs to be rounded (that depends on your teacher).

3 0

3 years ago

Suppose the number of radios in a household has a binomial distribution with parameters n=11 and p=40%. Find the probability of

Ivenika [448]

Answer:

Step-by-step explanation:

The formula for binomial distribution is expressed as

P(x=r) = nCr × q^(n-r) × p^r

From the information given,

n = 11

p = 40% = 40/100 = 0.4

q = 1 - 0.4 = 0.6

x represent the number of radios

a) P( x = 1) or P(x = 9)

P(x = 1) = 11C1 × 0.6^(11-1) × 0.4^1

P(x = 1) = 0.027

P(x = 9) = 11C9 × 0.6^(11-9) × 0.4^9

P(x = 9) = 0.0052

P( x = 1) or P(x = 9) = 0.027 + 0.0052 = 0.0322

b) P(x lesser than or equal to 7) = P(x = 0) + P(x = 1) + P(x = 2) + P(x = 3) + P(x = 4) + P(x = 5) + P(x = 6)

P(x = 0) = 11C0 × 0.6^(11-0) × 0.4^0 = 0.004

P(x = 1) = 0.027

P(x = 2) = 11C2 × 0.6^(11-2) × 0.4^2 = 0.089

P(x = 3) = 11C3 × 0.6^(11-3) × 0.4^3 = 0.177

P(x = 4) = 11C4 × 0.6^(11-4) × 0.4^4 = 0.24

P(x = 5) = 11C5 × 0.6^(11-5) × 0.4^5 = 0.22

P(x = 6) = 11C6 × 0.6^(11-6) × 0.4^6 = 0.15

P(x = 7) = 11C7 × 0.6^(11-7) × 0.4^7 = 0.15

P(x lesser than or equal to 7) = 0.004 + 0.027 + 0.089 + 0.177 + 0.24 + 0.22 + 0.15 + 0.07 = 0.977

c) P(x greater than or equal to 5) = 1 - P(x lesser than or equal to 4) = 1 - (0.004 + 0.027 + 0.089 + 0.177 + 0.24) = 1 - 0.537 = 0.463

d) P(x lesser than 9) = P(x lesser than or equal to 7) + P(x = 8)

P(x = 8) = 11C8 × 0.6^(11-8) × 0.4^8 = 0.02

P(x lesser than 9) = 0.977 + 0.02 = 0.997

e. P(x greater than 7) = 1 - P(x lesser than or equal to 7) = 1 - 0.977 = 0.023

5 0

3 years ago

A line passes through the points (3, −1) and (−5, 3) . What is the point-slope form of the line

aleksandrvk [35]

Hello here is a solution:
equation for the line is : y = ax+b a : slope
let A(3;-1) B(-5;3)
a= ((3)-(-1))/(-5)-(3))
a= 4/-8
a=-1/2
y=(-1/2) x+b
- 1 = (-1/2)(3)+b
b= 1/2
the equatdion is : y=(-1/2)x+1/2

8 0

3 years ago