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3 years ago

Write As Percent

1 answer:

5 0

To make a fraction a percent, you have to divide the numerator by the denominator. You get a decimal. Multiply the decimal by 100 to get the percent or just move the decimal two places to the right.

So,

Divide 1 by 5 and you get 0.20

Multiply 0.20 by 100. The answer is 20%

Divide 2 by 3 and you get 0.6666.......

Multiply 0.6666..... by 100 and you get 66.6%

Divide 1 by 40 and you get 0.025.

Multiply 0.025 by 100 and you get 2.5%

Divide 4 by 8 and you get 0.5.

Divide 0.5 by 100 and you get 50%.

Divide 12/16 and you get 0.75.

Multiply 0.75 by 100 and you get 75%.

<em>Hope it helps</em>

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Jim's speedboat can travel 24 miles upstream against a 4 mph current. In the same amount of time it travels 26 miles

8_murik_8 [283]

Answer:

speed of the boat = 100 mph

Step-by-step explanation:

Let x = speed of the boat

upstream speed = x - 4

downstream speed = x + 4

time = 24/(x - 4) = 26/(x + 4)

Cross multiply:

24(x + 4) = 26(x - 4)

24x + 96 = 26x - 104

104 + 96 = 26x - 24x

200 = 2x

x = 100 mph

8 0

2 years ago

An object’s volume is 0.12 kL. What is its volume in liters?

mrs_skeptik [129]

Answer:

120L

Step-by-step explanation:

Given quantity;

0.12kL to L

Solution:

Convert the given quantity to Liters;

1000L = 1kL

So.

1kL gives 1000L

0.12kL will be 1000 x 0.12 = 120L

3 0

3 years ago

14 is the same as ?i need help

Basile [38]

Same as 7*2=14 explain more what u need

4 0

3 years ago

Work out the volume of the shape

pashok25 [27]

Answer:

$\large\boxed{V=\dfrac{1,421\pi}{3}\ cm^3}$

Step-by-step explanation:

We have the cone and the half-sphere.

The formula of a volume of a cone:

$V_c=\dfrac{1}{3}\pi r^2H$

r - radius

H - height

We have r = 7cm and H = (22-7)cm=15cm. Substitute:

$V_c=\dfrac{1}{3}\pi(7^2)(15)=\dfrac{1}{3}\pi(49)(15)=\dfrac{735\pi}{3}\ cm^3$

The formula of a volume of a sphere:

$V_s=\dfrac{4}{3}\pi R^3$

R - radius

Therefore the formula of a volume of a half-sphere:

$V_{hs}=\dfrac{1}{2}\cdot\dfrac{4}{3}\pi R^3=\dfrac{2}{3}\pi R^3$

We have R = 7cm. Substitute:

$V_{hs}=\dfrac{2}{3}\pi(7^3)=\dfrac{2}{3}\pi(343)=\dfrac{686\pi}{3}\ cm^3$

The volume of the given shape:

$V=V_c+V_{hs}$

Substitute:

$V=\dfrac{735\pi}{3}+\dfrac{686\pi}{3}=\dfrac{1,421\pi}{3}\ cm^3$

7 0

3 years ago

An insurance company sells automobile liability and collision insurance. Let X denote the percentage of liability policies that

qaws [65]

Answer:

-764.28

Step-by-step explanation:

Given the joint cumulative distribution of X and Y as

$F(x,y) = \frac{xy(x+y)}{2000000}\ \ \ \, \ 0\leq x100, 0\leq y\leq 100$

#First find $F_x$ and probability distribution function , $f_x(x)$ :

$F_x(x)=F(x,100)\\\\\\=\frac{100x(x+100)}{2000000}\\\\\\\\=\frac{100x^2+10000x}{2000000}\\\\\\=>f_x(x)=\frac{x}{10000}+\frac{1}{200}$

#Have determined the probability distribution unction , $f_x(x)$ , we calculate the Expectation of the random variable X:

$E(X)=\int\limits^{100}_0 \frac{x^2}{10000}+\frac{x}{200} dx \\\\\\\\=|\frac{x^3}{30000}+\frac{x^2}{400}|\limits^{100}_0\\\\=58.33\\\\$

#We then calculate $E(X^2)$ :

$E(X^2)=\int\limits^{100}_0 \frac{x^3}{10000}+\frac{x^2}{200}\ dx\\\\=\frac{x^4}{40000}+\frac{x^3}{600}|\limits^{100}_0=4166.67\\\\Var(X)=E(X^2)-(E(X))^2=4166.67-58.33^2\\\\Var(X)=764.28$

Hence, the Var(X) is 764.28

4 0

3 years ago