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gulaghasi [49]
3 years ago
9

Find the volume of the large solid without the smaller solid. The solid is a right and not drawn to scale. Round answers to the

tenths place A. 310.86 in
B. 2210.56 in
C. 2521.42 in
D. 1899.7 in

Mathematics
2 answers:
ValentinkaMS [17]3 years ago
5 0

Answer:

1900.66

I don't see the answer there in the list of options, maybe I got the values wrong...

Step-by-step explanation:

This pic is blurry so I'm going to assume the numbers given are 3, 8, and 11.

Volume of larger cylinder:

π*r^2*h

(π)(64)(11) = 704π

Volume of smaller cylinder:

π*r^2*h

(π)(9)(11) = 99π

Subtract the two answers together:

704π - 99π = 605π

Simplify:

605π ≈ 1900.66

jeka57 [31]3 years ago
4 0

Answer:

Did you take that pic on an andriod shesh

Step-by-step explanation:

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For each angle θ listed below, find the reference angle α, and then find sin θ. Round sin θ to four decimal places, if necessary
babunello [35]

Answer with explanation:

It is given that

 \rightarrow\Theta =132^{\circ}

The Angle lies in Second Quadrant.

Formula to find reference Angle

→If Angle lies in first Quadrant

  then Reference Angle = The Angle given

→If Angle lies in Second Quadrant

  Then Reference Angle = 180° - Angle

→If Angle lies in third Quadrant

  then Reference Angle =  Angle - 180°

→If Angle lies in fourth Quadrant

  Then Reference Angle = 360° -Angle

Reference Angle

   =180^{\circ}-132^{\circ}\\\\=48^{\circ}

⇒sin 48°=0.7431448

Rounding to four decimal places

Sin 48°=0.7432

4 0
3 years ago
A bag contains both black and red marbles. The ratio of black to red marbles is 3:4.
sesenic [268]

The total number of marbles in the bag is 7, since 3+4=7. There are 3:4 black marbles, so 3/7 of the bag is black marbles, which can be written as 3:7.

4/7 of the bag is red marbles, which can be written as 4:7

8 0
3 years ago
Let X denote the number of flaws along a 100-m reel of magnetic tape (an integer-valued variable). Suppose Zdenote the number of
Lemur [1.5K]

Answer:

a) P(20 \leq X \leq 30) = P(20-0.5 \leq X \leq 30+0.5)

P(19.5 \leq X \leq 30.5) = P(\frac{19.5-25}{5} \leq Z \leq \frac{30.5 -25}{5})=P(-1.1 \leq Z \leq 1.1)

And we can find this probability like this:

P(-1.1 \leq Z \leq 1.1)= P(Z\leq 1.1) -P(Z\leq -1.1) = 0.864-0.136= 0.728

b) P(X \leq 30)= P(X

And using the z score we got:

P(X

c) P(X

And if we use the continuity correction we got:

P(X

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Continuity correction means that we need to add and subtract 0.5 before standardizing the value specified.

Part a

Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:

X \sim N(25,5)  

Where \mu=25 and \sigma=5

Part a

For this case we want to find this probability:

P(20 \leq X \leq 30) = P(20-0.5 \leq X \leq 30+0.5)

And if we use the z score given by:

z =\frac{x-\mu}{\sigma}

We got this:

P(19.5 \leq X \leq 30.5) = P(\frac{19.5-25}{5} \leq Z \leq \frac{30.5 -25}{5})=P(-1.1 \leq Z \leq 1.1)

And we can find this probability like this:

P(-1.1 \leq Z \leq 1.1)= P(Z\leq 1.1) -P(Z\leq -1.1) = 0.864-0.136= 0.728

Part b

For this case we want this probability:

P(X \leq 30)

And if we use the continuity correction we got:

P(X \leq 30)= P(X

And using the z score we got:

P(X

Part c

For this case we want this probability:

P(X

And if we use the continuity correction we got:

P(X

3 0
3 years ago
A bike was on sale for $3600 Sam makes an offer equal to 3/4 of the price how much does Sam offer
liq [111]
We know the bike was on sale for $3600 and a offer of 3/4 of the price.To find how much was offered

3/4 multiply by 3600= 3 multiply by 3600/4 =3 multiply by 900=$2700
Sam Offered = $2700
3 0
3 years ago
In the diagram, . Triangles P M N and Q S R are shown. The lengths of sides P N and R Q are congruent, the lengths of sides Q S
nika2105 [10]

Answer:

20 inches

Step-by-step explanation:

It is because QS and PN are congruent.

4 0
3 years ago
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