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3 years ago

What is 30% more than 10??

Mathematics

1 answer:

Luden [163]3 years ago

3 0

Take 10, and add 3 for every 10 ( this is 30%) that equals 13

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True or false the angle

Ira Lisetskai [31]

Answer:

Second option: False

Step-by-step explanation:

You need to use the following identity:

$sin\alpha=\frac{opposite}{hypotenuse}$

Let be "x" the lenght of the buildings's shadow.

$opposite=x$ (Lenght of building's shadow)

You can observe in the figure that:

$\alpha=75\°\\\\hypotenuse=50ft$

Substitute these values into $sin\alpha=\frac{opposite}{hypotenuse}$ and solve for ""x":

$sin(75\°)=\frac{x}{50}\\\\(50)(sin(75\°))=x\\\\x=48.29\°$

Therefore, the length of its shadow IS NOT 12.94 feet.

6 0

3 years ago

A random variable X has a Poisson distribution with a mean of 3. What is the probability that X P(1≤X≤3) ?.

frosja888 [35]

Answer:

P(1≤X≤3) = 0.5974

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given interval.

Mean of 3

This means that $\mu = 3$

P(1≤X≤3) ?

$P(1 \leq X \leq 3) = P(X = 1) + P(X = 2) + P(X = 3)$

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 1) = \frac{e^{-3}*3^{1}}{(1)!} = 0.1494$

$P(X = 2) = \frac{e^{-3}*3^{2}}{(2)!} = 0.2240$

$P(X = 3) = \frac{e^{-3}*3^{3}}{(3)!} = 0.2240$

$P(1 \leq X \leq 3) = P(X = 1) + P(X = 2) + P(X = 3) = 0.1494 + 0.2240 + 0.2240 = 0.5974$

4 0

3 years ago

At the city museum, child admission is

kramer

We have a system of equations here:

Let 'a' = adult tickets and 'c' = children's tickets

5.80c + 9.00a = 1056.20

We also know that the total number of tickets (adults and children) was 149:

a + c = 149

We need only solve the system.

3 0

4 years ago

Prove weather or not the pair of ratios are equivalent the ratios are 6:11 and 42:88

vesna_86 [32]

No they are not equivalent to one another because in order to get from 6to 42 you have to multiply by 7 but to get from 11to 88you have to multiply by 8 . In order for to ratio to equivalent they must have the same factors

6 0

3 years ago

What is 2p + 5r = q for p

Kamila [148]

Subtract 5r from both sides
2p= q-5r
Divide both sides by 2
p= (q-5r)/2

4 0

3 years ago