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lord [1]
3 years ago
15

Help please :) I don't understand :)

Mathematics
1 answer:
snow_tiger [21]3 years ago
5 0

Answer:

I would try D. 13 for the first one and for the second one I would try D.14

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A square pyramid has base area 64 square centimeters. The surface area of this pyramid is 224 square centimeters. Find the heigh
dolphi86 [110]

Answer:

h \approx 12.7\,cm

Step-by-step explanation:

The side of the square base is:

l = \sqrt{64\,cm^{2}}

l = 8\,cm

The formula for the surface area of the pyramid is:

A_{s} = \frac{1}{2}\cdot (3\cdot l)\cdot \sqrt{0.25\cdot l^{2}+h^{2}} + l^{2}

The height is cleared in the previous expression:

A_{s} - l^{2} = \frac{3}{2}\cdot l\cdot \sqrt{0.25\cdot l^{2}+h^{2}}

\frac{2}{3}\cdot \frac{A_{s}-l^{2}}{l} = \sqrt{0.25\cdot l^{2} + h^{2}}

\frac{4}{9}\cdot \left(\frac{A_{s}-l^{2}}{l} \right)^{2} = \frac{1}{4} \cdot l^{2} + h^{2}

h = \sqrt{\frac{4}{9}\cdot \left(\frac{A_{s}-l^{2}}{l} \right)^{2} - \frac{1}{4}\cdot l^{2}}

h = \sqrt{\frac{4}{9}\cdot \left[\frac{224\,cm^{2}-(8\,cm)^{2}}{8\,cm}\right]^{2}-\frac{1}{4}\cdot (8\,cm)^{2} }

h \approx 12.7\,cm

6 0
3 years ago
3 out of 12 candies are orange in a bag of 100 about how many candies are orange​
ankoles [38]

Answer:

the answer is 88

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Translate the sentence into an equation.
Marta_Voda [28]

Answer:

Step-by-step explanation:

7x + 6 = 3

If you want to continue to find the value of x, do this:

7x + 6 - 6 = 3 - 6 = -3, or

7x = -3, or

x = -3/7

4 0
3 years ago
Assume that a policyholder is four times more likely to file exactly two claims as to file exactly three claims. Assume also tha
kykrilka [37]

Answer:

1.3125

Step-by-step explanation:

Given that our random variable X follows a Poisson distributionP(X=k)=\frac{\lambda^k e^-^p}{k!} \ \ \ \ \ \ \ \ p=\lambda

Evaluate the formula at k=2,3:

P(X=2)=0.5\lambda^2e^{-\lambda}\\\\P(X=3)=\frac{1}{6}\lambda^2e^{-\lambda}

#since

4P(X=2)=P(X=3);\\\\0.5\lambda^2e^{-\lambda}=4\times\frac{1}{6}\lambda^3e^{-\lambda}\\\\0.5\lambda^2=\frac{2}{3}\lambda^3\\\\0.75=\lambda

The mean and variance of the Poisson distributed random variable is equal to \lambda:

\mu=\lambda=0.75\\\sigma ^2=\lambda=0.75

#By property variance:

\sigma ^2=V(X)=E(X^2)-(E(X))^2=E(X^2)\\\\E(X^2)=\sigma^2+\mu^2=0.75+0.75^2=1.3125

The expectation is 1.3125

4 0
4 years ago
Answer A and B
ArbitrLikvidat [17]

Answer:

A: 630 was the highest

B: camped at 380

7 0
2 years ago
Read 2 more answers
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