Find the volume of the prism.

Answer:

a) The value of q is 0.2.

b) E(X) = 1.85.

Step-by-step explanation:

Question a:

The sum of all the probabilities must be 1. So

\(0.3 + x + 0.1 + 0.15 + 0.25 = 1\)

\(x + 0.8 = 1\)

\(x = 0.2\)

The value of q is 0.2.

Question b:

Multiplication of each value of x by its probability. So

\(E(X) = 0*0.3 + 1*0.2 + 2*0.1 + 3*0.15 + 4*0.25 = 1.85\)

So the answer is E(X) = 1.85.

Explanation:

The Ø​ means "empty set". It's the set with nothing inside it, not even 0.

We can write Ø​ as { } which is a pair of curly braces with nothing between them.

The rule is that if we union any set A with Ø​, then we'll get set A

A U Ø​ = A

Ø​ U A = A

In a sense, it's analogous to adding 0. So it's like saying A+0 = A and 0+A = A.

So that's why {6, 11, 15} U Ø​ = {6, 11, 15}

There's nothing to add onto the set {6, 11, 15}, so we just get the same thing back again.

Answer:

.08(50h) Because if the tax rate is 8%, then that is 1.08% of 50h.

Step-by-step explanation:

Answer:

Q and S

Step-by-step explanation:

If your question is multi choice (which it only makes if it is) you can tell because the points Q and S are both x values. (2,0) and (7,0) if you graph it lie on the x-axis while (0,3) and (0,5) lie on the y-axis.

ΔBCD is congruent to  ΔBAD

5 . In ΔBCD and  ΔBAD ,

1 . BC⊥CD , AB⊥AD then ∠BCD = ∠BAD = 90°

2 . BD bisects ∠CDA in two points then ∠1 = ∠2

3. BD = BD common line

4 . If two angles are equal then third is also equal to each other i.e.  

∠CBA = ∠ABD

Therefore , by ASA OR RHS property of congruency

ΔBCD ≅  ΔBAD

6 .  In ΔPTR and  ΔMRT ,

1 . PT⊥TR , MR⊥TR then ∠PTR = ∠TMR= 90°

2. PR = TM given

3 . TR = TR common line

Therefore , by SAS property of congruency

ΔPTR ≅ ΔMRT

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A polynomial is an expression that contains several terms.

Examples include...

5x +1

5x^(-2) +1

Answer: 40%

Step-by-step explanation:

Percentage of people that have red towels = 49%

Percentage of people that have blue towels = 11%

Therefore, the percentage of the people at the beach have white

towels will be:

= 100% - (49% + 11%)

= 100% - 60%

= 40%

Therefore, the answer is 40%.

Answer:

40%

Step-by-step explanation:

Just took the test

A) The probability that a piece of toast lands butter side down when dropped from a 2.5-foot high table is 0.81 means that out of all possible outcomes of dropping a piece of toast from that height, 81% of the time it will land with the butter side facing down.

B) No, it does not mean that exactly 81 out of 100 pieces of toast will land butter side down. The probability of a single piece of toast landing butter-side down is 0.81, so when 100 pieces of toast are dropped, we can expect around 81 of them to land butter-side down on average, but the actual number may vary due to randomness.

C) Maria may or may not be surprised, depending on her expectations and the level of significance she sets for her test. To carry out a simulation, we can use a random number generator to simulate dropping 10 pieces of toast with a probability of 0.81 of landing butter side down. We can repeat this simulation multiple times, say 1000 times, and count the number of times the simulation yields 4 or fewer pieces of toast landing butter side down. If this rarely happens (e.g., less than 5% of the time), we can say that Maria should be surprised.

D) The dot plot displaying the results of 50 simulated trials of dropping 10 pieces of toast can provide some information about the variability of the outcomes. If most of the dots are clustered around 8 or 9 (which would correspond to 80% or 90% of the pieces of toast landing butter side down), then Maria's result of only 4 out of 10 pieces landing butter side down would be considered unusual, and she should be surprised. However, if the dots are spread over a wide range, it would suggest that getting 4 out of 10 is not that uncommon, and Maria should not be surprised.

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Answer:

I can try ^^

Step-by-step explanation:

D. \(5\sqrt{7}\)

The solution is, the value of the variables are x = 40 and, y = 160.

Notice that "x" and "3x+20" are supplementary angles so their sum is 180°

(x) + (3x + 20) = 180

4x + 20 = 180

4x = 160

x = 40

To solve for "y", you have 2 options: either notice that "x" and "y-20" are supplementary angles so their sum is 180° or notice that "3x + 20" and "y - 20" are vertical angles so are equal to each other. I am going to solve using the first option because it is less work.

(x) + (y - 20) = 180°

40 + y - 20 = 180

y + 20 = 180

y = 160

Answer: x=40, y=160

The solution is, the value of the variables are x = 40 and, y = 160.

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complete question:

Find the value of each variable

Answer:

k(-4) = 12

Step-by-step explanation:

The most simple definition of a function is a set of inputs that have a given set of outputs.

Functions are often written as f(x) = "an expression"

Where "x" is the input and "the expression" results in an output. Whatever the input is you plug into "x" and replace all "x"s with the input

Here, we are given the function k(x) = 8 - x and we want to find k(-4)

This can be rewritten as k(-4) = 8 - x

==> replace all x's with -4

k(-4) = 8 - (-4)

==> remove parenthesis

k(-4) = 8 + 4

==> add 8 and 4

k(-4) = 12

Answer:

700 + 50x ≥ 1200

where x represents the number of weeks needed to save.

Step-by-step explanation:

Check the picture below.

whatever those savings are on week "x", they have to be at least $1200

Answer: 6 miles!

Step-by-step explanation:

There are 5280 ft in a mile (you can remember this by saying five to-mat-os haha). In total, Lauren walked 16,900+14,850= 31,750 ft. To find how many miles she hiked you would simply divide by 5,280. I plugged this division problem into my calculator and got about 6 miles.

After accounting for the exemptions, Amber's withholding tax is $1,748 for the year.

The withholding tax is the amount of tax that Amber owes.

This amount is calculated by the formula:

= Net pay x Income tax rate

Net pay = Gross pay - Exemptions

= 45,700 - 2,000

= $43,700

Withholding is:

= 43,700 x 4%

= $1,748

In conclusion, Amber's withholding for the year is $1,748.

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events B and C are not only dependent but also mutually exclusive. events B and C are mutually exclusive and dependent.

Based on the correct value of P(B AND C), the relationship between events B and C is as follows: We are given that P(B) = 0.6, P(C) = 0.4, and P(B AND C) = 0. If events B and C were independent, then we would have P(B|C) = P(B), which means that the occurrence of event C would not affect the probability of event B. However, since P(B AND C) = 0, we know that events B and C cannot occur simultaneously. Therefore, P(B|C) = 0. This means that if event C occurs, event B cannot occur. Therefore, events B and C are not only dependent but also mutually exclusive. In summary, events B and C are mutually exclusive and dependent.

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The total time taken for the entire journey is 2.8 hours.

To calculate the total time taken for the entire journey, we can use the formula:

Time = Distance / Speed

For the first part of the journey, the car travels a distance of 112 km at an average speed of 70 km/h. Using the formula, the time taken for this part is:

Time1 = 112 km / 70 km/h = 1.6 hours

For the second part of the journey, the car travels a further distance of 60 km at an average speed of 50 km/h. Again, using the formula, the time taken for this part is:

Time2 = 60 km / 50 km/h = 1.2 hours

To find the total time for the entire journey, we sum up the times for both parts:

Total Time = Time1 + Time2 = 1.6 hours + 1.2 hours = 2.8 hours

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Answer:

a = 3

Step-by-step explanation:

Collect like-terms:

\( - 16 = a - 19\)

\(a = - 16 + 19\)

\(a = 3\)

Answer: 3

Step-by-step explanation: you take 19 from 3 giving you -16

Answer

3x−2y=12y=1−2x

re

Answer:

X = 30 degrees, z = 80 degrees and y = 70 degrees

Answer:

Mercantilism - trading or selling various of goods or products for commission

import - to bring goods in form another source/place

export - send goods to another coutry for money or other items

enumerated article - english colonies could export only to England in the 17th century were sugar, tobacco, cotton and indigo (types of goods)

Navigation Acts - An act that allowed ONLY english ships to bring goods into England, and let north American export their items to England

Dominion of New England - A bunch of England colonies made by king James II of England in 1686 used to tighten British administration of their colonies.

English Bill of Rights - A act that was signed by the law used to ultimately give the parliament power over the monarchy  

Answer:

11

step-by-step explanation

5 and -6 have a 11 unit area

Answer:

1

Step-by-step explanation:

Answer:

x is 4 I think

Step-by-step explanation:

I'm not sure I might be wrong

The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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Answer:

y+4=3(x+2)

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(8-(-4))/(2-(-2))

m=(8+4)/(2+2)

m=12/4

m=3

y-y1=m(x-x1)

y-(-4)=3(x-(-2))

y+4=3(x+2)

Answer:

z=125

y=30

Step-by-step explanation:

x and z are the same because of the congruent sides then is triangle sum

Answer:

x=55°

y=70°

z=125°

Step-by-step explanation:

125 + x = 180

x = 55°

the 2 sides are equal so z = 125°

y = 180 - 2x

y = 180 - 110

y = 70°

The equilibrium point for James T-shirt business is (P, Q) = (7, 24).

To find the equilibrium point (P, Q) for James T-shirt business

we need to set the demand function equal to the supply function and solve for the values of P and Q.

Demand function: P = -Q + 31

Supply function: P = Q - 17

Setting them equal:

-Q + 31 = Q - 17

Adding Q to both sides and subtracting 31 from both sides:

2Q = 48

Dividing both sides by 2:

Q = 24

Now, we can substitute this value of Q into either the demand or supply function to find the corresponding value of P.

P = Q - 17

P = 24 - 17

P = 7

Therefore, the equilibrium point for James T-shirt business is (P, Q) = (7, 24).

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The classical assumptions would be violated if you decided to add a dummy variable to the equation that was equal to 1 is independence of errors.

In a linear regression equation, the errors are assumed to be independent of each other, meaning that the error for one observation should not be related to the error for any other observation.

However, when you add a dummy variable that indicates whether the day is a weekday or not, you are introducing a systematic pattern into the errors.

Specifically, you are creating a situation where the errors for weekdays will be more similar to each other than to the errors for weekends, because the stock market is closed on weekends.

This violates the assumption of independence of errors, which can lead to biased estimates and unreliable inferences. To address this issue, you could consider including a different dummy variable that indicates whether the day is a weekend or not.

This would help to account for the systematic pattern in the errors and ensure that the classical assumptions are not violated.

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Answer:

Amount water added = 4.5 L

Step-by-step explanation:

Given:

Amount of solution = 9 L

Amount of bane-berry = 3% of 9 L = 0.27 L

Computation:

Assume;

Amount water added = x L

Total solution = 9+x L

New percentage of bane-berry = 0.27x100/(9+x)

2 = 0.27*100/(9+x)

x = 4.5 L

Amount water added = 4.5 L