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3 years ago

Can someone please solve this problem for me

Mathematics

1 answer:

notsponge [240]3 years ago

7 0

Answer:

D. 28.54

Step-by-step explanation:

To find the area of the shaded region, find the area of the circle and divide it in 4. This will the area of the portion with the triangle.

Now, find the area of the triangle and subtract the two. The resulting value will be the area of the shaded region.

Circle:

$A = \pi r^2\\A = \pi 10^2\\A = 100 \pi\\A = 314$

Divide by 4 for the area of the section with the triangle.

314/4 = 78.5

Triangle:

$A = \frac{1}{2}bh\\A = 0.5 (10 )(10)\\A=0.5(100)\\A=50$

Subtract the two, 78.5 - 50 = 28.5.

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Amiraneli [1.4K]

Answer is 42/100 is the answer

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3 years ago

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Which equation shows that you can find the power of a power by finding the product of the exponents?

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Y^a+b

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Lemon goes to the store and buys a game station for $25. The store is running a discount of 15%. What is the price of the game s

TEA [102]

Answer:

$21.25

Step-by-step explanation:

1. Convert the 15% to a decimal by dividing by 100. 15 ÷ 100 = 0.15

2. Multiply the $25 by the decimal of 15%. 25 × 0.15 = 3.75

3. Subtract your previous answer (3.75) from the original price of the game station. 25 - 3.75 = 21.75

4. Therefore the price of the game station after the discount is $21.75.

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2 years ago

Consider a discrete random variable x with pmf px (1) = c 3 ; px (2) = c 6 ; px (5) = c 3 and 0 otherwise, where c is a positive

PtichkaEL [24]

Looks like the PMF is supposed to be

$\mathbb P(X=x)=\begin{cases}\dfrac c3&\text{for }x\in\{1,5\}\\\\\dfrac c6&\text{for }x=2\\\\0&\text{otherwise}\end{cases}$

which is kinda weird, but it's not entirely clear what you meant...

Anyway, assuming the PMF above, for this to be a valid PMF, we need the probabilities of all events to sum to 1:

$\displaystyle\sum_{x\in\{1,2,5\}}\mathbb P(X=x)=\dfrac c3+\dfrac c6+\dfrac c3=\dfrac{5c}6=1\implies c=\dfrac65$

Next,

$\mathbb P(X>2)=\mathbb P(X=5)=\dfrac c3=\dfrac25$

$\mathbb E(X)=\displaystyle\sum_{x\in\{1,2,5\}}x\,\mathbb P(X=x)=\dfrac c3+\dfrac{2c}6+\dfrac{5c}3=\dfrac{7c}3=\dfrac{14}5$

$\mathbb V(X)=\mathbb E\bigg((X-\mathbb E(X))^2\bigg)=\mathbb E(X^2)-\mathbb E(X)^2$
$\mathbb E(X^2)=\displaystyle\sum_{x\in\{1,2,5\}}x^2\,\mathbb P(X=x)=\dfrac c3+\dfrac{4c}6+\dfrac{25c}3=\dfrac{28c}3=\dfrac{56}5$
$\implies\mathbb V(X)=\dfrac{56}5-\left(\dfrac{14}5\right)^2=\dfrac{84}{25}$

If $Y=X^2+1$ , then $X^2=Y-1\implies X=\sqrt{Y-1}$ , where we take the positive root because we know $X$ can only take on positive values, namely 1, 2, and 5. Correspondingly, we know that $Y$ can take on the values $1^2+1=2$ , $2^2+1=5$ , and $5^2+1=26$ . At these values of $Y$ , we would have the same probability as we did for the respective value of $X$ . That is,

$\mathbb P(Y=y)=\begin{cases}\dfrac c3&\text{for }y=2\\\\\dfrac c6&\text{for }y=5\\\\\dfrac c3&\text{for }y=26\\\\0&\text{otherwise}\end{cases}$

Part (5) is incomplete, so I'll stop here.

8 0

3 years ago

Find the surface area of a pyramid

Sergeeva-Olga [200]

Answer:

88 inches ^2

Step-by-step explanation:

Well find the side of a triangle first.

4*9=26

26/2=18

There are 4 identical triangles

18*4= 72

Now the bottom square

4*4=16

16+72= 88

88 inches ^2

5 0

2 years ago