2. FGH ~ TUV. Angle F measures 90°, angle G measures 30°,
and angle H measures 60°. What is the measure of angle U?

I will give Brainliest stars and thx to the first right answer

Answer:

Expected value of drawing a card in this game on the first turn = 6

Step-by-step explanation:

Given - Consider a game in which players draw playing cards one at a time from a standard 52-card deck. If a player draws a face card (a jack, a queen, or a king), the player is awarded 16 points. Any other card drawn earns the player 3 points.

To find -  What is the expected value of drawing a card in this game on the first turn?

Formula used -

Expected value, E[x] = ∑ x p(x)

where p(x) is the probability

Proof -

Total cards in a standard deck = 52

Total face cards = 12 (a jack, a queen, or a king)

Other cards = 40

Now,

Probability of getting a face card = [tex]\frac{12}{52}[/tex]

Probability of getting a other card = [tex]\frac{40}{52}[/tex]

So,

Expected value, E[x] = ∑ x p(x)

                                  = (16)([tex]\frac{12}{52}[/tex]) + (3)([tex]\frac{40}{52}[/tex])

                                  = [tex]\frac{192}{52} + \frac{120}{52}[/tex]

                                  = [tex]\frac{312}{52}[/tex]

                                  = 6

∴ we get

Expected value of drawing a card in this game on the first turn = 6

So,

The correct option is - B. 6 points

Answer:

45 meals.

Step-by-step explanation:

Answer:

45 meals

Explanation:

Given :

Alonzo has bought 30pounds of dog food

He feed his dog 2/3 ponds for each meal,

To Find :

How meals will the food last

Solution :

Total pounds he bought => 30

He feeds 2/3 pounds in each meals

Therefore, consumed in each meal  =>

Therefore, food will last for 45 meals

Answer:

45 Meals

Step-by-step explanation:

It's pretty simple, just divide 30 by 2/3. Doing so will get 45.

Answer: its a

Step-by-step explanation: look at the bar graph you have to really look at it and be the graph

Answer:

None of the following are true. I don't know what you are supposed to answer.

Hope that this helps!

Answer:

50

Step-by-step explanation:

30% * n = 15

Change to decimal form

.30 *n = 15

Divide each side by .30

.30n/.30 = 15/.30

n =50

The number is 50

THE CORRECT ANSWER is 25 Cm³

Explanation:

Let's consider the vertical block first, having height 8cm, length 1 cm, width 2cm.

Hence the volume of that block = l.w.h = 8×2×1 = 16 cm³

Coming to the horizontal block, having height 3cm, width 3cm, & length 1 cm.

Hence the volume of that block will be = 3×3×1 = 9 cm²

The total volume of irregular figure = Volume of vertical block + horizontal block = 16+9 = 25 cm³

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Answer:

B. Approximately 0.3159

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution, and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

The mean volume of all gallon containers is 1.00 gallon with a standard deviation equal to 0.10 gallon.

This means that [tex]\mu = 1, \sigma = 0.1[/tex]

Sample of 9:

This means that [tex]n = 9, s = \frac{0.1}{\sqrt{9}}[/tex]

If the sample mean is less than 0.97 gallons, the department will fine the dairy. Based on this information, what is the probability that the dairy will get fined even when its filling process is working correctly?

This is the pvalue of Z when X = 0.97. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.97 - 1}{\frac{0.1}{\sqrt{9}}}[/tex]

[tex]Z = -0.9[/tex]

[tex]Z = -0.9[/tex] has a pvalue of 0.1841.

The correct answer is given by option B.

Answer:

Option C

Step-by-step explanation:

Given  

Probability of Mean value less than 0.97  

= Mean value -1/(0.1/sqrt (9))

Substituting the given values, we get -

Probability of Mean value less than 0.97  

= 0.97 -1/(0.1/sqrt (9))

= 0.97-1/(0.1/3)

= 0.1841

Hence, option C is correct

Answer:

Infinite solutions

Step-by-step explanation:

Equation 1:

4x-6y=4

3(4x-6y=4)

12x-18y=12

Equation 2

(12x-18y=12)/3

4x-6y=4

They are the same equation, therefore, there are infinite solutions

All possibilities were discussed in order to write the required linear equation.

The given linear equation is:

[tex]10x+5y=20[/tex]

An equation of the form ax+by+c=0 is called a linear equation where a, b, c∈R

For a unique solution, we need an equation ax+by+c=0 such that

[tex]\frac{10}{a} \neq \frac{5}{b}[/tex]

For infinitely many solutions, we need an equation ax+by+c=0 such that

[tex]\frac{10}{a} =\frac{5}{b} =\frac{-20}{c}[/tex]

Hence, all possibilities were discussed in order to write the required linear equation.

To get more about linear equations visit:

https://brainly.com/question/14323743

Answer:

G

Step-by-step explanation:

I did this assignment yesterday

Answer:

x = 91

y = 98

Your answer is F.

Step-by-step explanation:

Since a straight angle is 180° you have to subtract 89 from 180 and 82 from 180.

180 - 89 = 91

180 - 82 = 98

Hope this helps, and have a wonderful day! :)

Answer:

For angle of 210°, coterminal angles are; 570° and -150°.

For angle of -120°, coterminal angles are; 240° and -480°

Step-by-step explanation:

Since we are asked to angle find angle that's coterminal, we will add/ subtract 360° from each angle respectively to get that because coterminal angles are defined as those that share the same terminal side. Thus;

For angle of 210°, coterminal angles are;

>> 210° + 360° = 570°

>> 210° - 360° = - 150°

For angle of -120°, coterminal angles are;

>> - 120° + 360° = 240°

>> - 120° - 360° = - 480°

Answer:

z≥-10

Step-by-step explanation

it just is, trust.

Answer:

angle c is 82 degree because 82 degree and angle c are corresponding angles.

Step-by-step explanation:

note :corredponding angles are always equal.

Answer:

1.) x=-7

2.) x= -8

3.) x=13

4.) x=2

Step-by-step explanation:

ur lucky idc

1. 4x = -28

By dividing both sides of this equation by 4, we see that x = -7.

2. x - (-6) = -2

Note that x - (-6) is equal to x + 6. To solve the equation x + 6 = -2, subtract 6 from both sides to see that x = -8.

3. -x + 4 = -9

First, subtract 4 from both sides to get that -x = -13. Then, multiply both sides by -1 to see that x = 13.

4. -3x + 7 = 1

First, subtract 7 from both sides to get that -3x = -6. Then, divide both sides by -3 to see that x = 2.

Answer:

$320

Step-by-step explanation:

An easy way to solve this problem is to undo the operations, Find the total amount of money, and then find half of the amount. Since (80) is ([tex]\frac{1}{8}[/tex]) the total amount of money, one has to multiply (80) by (8) to find the total amount of money.

(80) * (8)

= 640

Now one is asked to find (50%) of the money. It is known that (50%) is equivalent to (0.5), therefore multiply (640) by (0.5) to find how much (50%) of the money is.

(640) * (0.5)

= 320

Answer:

B.) 40°

Step-by-step explanation:

because the sum of all the interior angles should be 180°, so 50°+90°+y=180°

y must equal 40°

Answer:

x = 14

Step-by-step explanation:

if the triangles are similar then

16/24 = x/21 cross multiply expressions

336 = 24x divide both sides by 24

14 = x

Answer:

-2 and 4

Step-by-step explanation:

The zeros of a function are when the function equals 0.

To make (x+2)(x-4) be zero, either the x+2 term or the x-4 term need to be equal to zero.  Because any number multiplied by 0 is 0.

So, set x+2=0 solve for x=-2

Set x-4=0 solve for x=4

Answer:

Hey mate......

Step-by-step explanation:

This is ur answer.....

Hope it helps!

Brainliest pls!

Follow me! :)

Answer:

72 yd^3

Step-by-step explanation:

Answer:

Volume of this pyramid is 72.

9514 1404 393

Answer:

  35%

Step-by-step explanation:

Of those 28+52 = 80 who would recommend their game, 28 tested game A. The probability is ...

  28/80 = 0.35 = 35%

The probability that a recommending customer tested game A is 35%.

Answer:

Step-by-step explanation:

slope-intercept  form:   y = mx + b

by inspection ( just looking at the graph)  we can see that the line goes thur the +2 on the y axis.    so b=2   and we can also see that the line runs up hill so a positive slope and it's going up one for ever one over. So it has a positive 1 slope.

y = 1x + 2

y = x + 2

Answer:

the interquartile is 4

Step-by-step explanation:

Answer:

range:7 inter. range: 4

Step-by-step explanation:

Answer:

B) 3

Step-by-step explanation:

The (-) represents a flip over the X-Axis.

The |X-5| represents a Horizontal shift right because it's in between the parenthesis.

The 3 represents a positive vertical shift upwards.