Find the volume of the irregular figure

Gwen is two years older than her cousin Julie. Aunt Jess is twice as old as uncle Mark. Julie’s age is 26 less than the sum of a

Keith_Richards [23]

If mark celebrated his 8th birthday 10 years ago then mark is 18 years old. Jess is twice as old as mark so Jess is 36 years old. Julie is 26 less than mark and jess combined so Julie is 28 years old. Gwen is two years older than Julie so Gwen is 30 years old. The twins are 2 less than 1/3 of gwen so the twins are 8 years old

3 0

3 years ago

Solve the question belo , thanks

Eddi Din [679]

Answer:

The coordinates of N are (-1,-6)

Step-by-step explanation:

M is the midpoint of AN

A(-7,4) and M(-4,-1)

The distance AM is given by (-4--7,-1 - 4) = (3,-5)

Since AM = MN;

N = M(-4,-1) + (3,-5)

N = (-4 + 3,-1 + -5)

This gives the coordinates of N to be;

N(-1,-6)

4 0

3 years ago

Find the missing side length. Round to the nearest tenth.<br>15 cm<br>9 cm

vazorg [7]

Using Pythagorean’s theorem
a^2 +b^2= c^2
We know
c=15
b=9
a=?
Sub that in the Pythagorean’s theorem
a^2+9^2 = 15^2
a^2 + 81 = 225
a^2= 225-81
a^2 = 144
a= square root of 144
a= 12

Therefore the answer is 12

5 0

3 years ago

The volume of this figure is ...................................... cubic in

alexgriva [62]

For 1 cylinder: 226.08 cubic inches

For all cylinders (overall): 678.24 cubic inches

Since I'm tired....

Formula: Pi × (radius × radius) × height

7 0

3 years ago

According to a survey, 65% of murders committed last year were cleared by arrest or exceptional means. Fifty murders committed

monitta

Answer:

a) $P(X=41)=(50C41)(0.65)^{41} (1-0.65)^{50-41}=0.00421$

b) $P(X=36)=(50C36)(0.65)^{36} (1-0.65)^{50-36}=0.0714$

$P(X=37)=(50C37)(0.65)^{37} (1-0.65)^{50-37}=0.0502$

$P(X=38)=(50C38)(0.65)^{38} (1-0.65)^{50-38}=0.0319$

And adding these values we got:

$P(36 \leq X \leq 38)= 0.1535$

c) We can find the expected value given by:

$E(X) = np =50*0.65 = 32.5$

And the standard deviation would be:

$\sigma = \sqrt{np(1-p)} \sqrt{50*0.65*(1-0.65)}= 3.373$

We can use the approximation to the normal distribution and we have at leat 95% of the data within 2 deviations from the mean. And the lower limit for this case would be:

$\mu -2\sigma = 32.5- 2*3.373 = 25.75$

And then we can consider a value of 18 as unusual lower for this case.

Step-by-step explanation:

Let X the random variable of interest "number cleared by arrest or exceptional", on this case we can model this variable with this distribution:

$X \sim Binom(n=50, p=0.65)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

Part a

We want this probability:

$P(X=41)=(50C41)(0.65)^{41} (1-0.65)^{50-41}=0.00421$

Part b

We want this probability:

$P(36 \leq X \leq 38)$

We can find the individual probabilities:

$P(X=36)=(50C36)(0.65)^{36} (1-0.65)^{50-36}=0.0714$

$P(X=37)=(50C37)(0.65)^{37} (1-0.65)^{50-37}=0.0502$

$P(X=38)=(50C38)(0.65)^{38} (1-0.65)^{50-38}=0.0319$

And adding these values we got:

$P(36 \leq X \leq 38)= 0.1535$

Part c

We can find the expected value given by:

$E(X) = np =50*0.65 = 32.5$

And the standard deviation would be:

$\sigma = \sqrt{np(1-p)} \sqrt{50*0.65*(1-0.65)}= 3.373$

We can use the approximation to the normal distribution and we have at leat 95% of the data within 2 deviations from the mean. And the lower limit for this case would be:

$\mu -2\sigma = 32.5- 2*3.373 = 25.75$

And then we can consider a value of 18 as unusual lower for this case.

6 0

3 years ago