There is a bag with only milk and dark chocolates. The probability of randomly choosing a dark chocolate is 3 8 . There are 21 dark chocolates in the bag and each is equally likely to be chosen. Work out how many milk chocolates there must be.

The correct function for the graph of dotted line is,

⇒ y = -  (x - 2)² + 3

We have to given that;

The function f (x) = x² is shown in image.

Here, The dotted graph is translation of f (x) = x² by 3 units up, 2 units right and jus opposite to f (x) = x²

Hence, The correct function for the graph of dotted line is,

⇒ y = -  (x - 2)² + 3

Thus, After translation, The correct function for the graph of dotted line is,

⇒ y = -  (x - 2)² + 3

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Therefore, there are 480 different ways to arrange individuals in a row so that no two engineers sit together.

An alternative name for a combo is a choice. A combination is a choice made from a predetermined group of options. I won't organize anything here. They will be my choice. The number of distinct r selections or combinations from a set of n objects is indicated by the symbol \(^nC_{r}\).

There are eight participants in the focus group, including three software engineers, two nurses, one doctor, and two technicians.

So the 3 software engineers =3! ways, 2 nurses =2! ways,

doctor =1! way , 2 technicians =2! ways.

We must determine how many different configurations are possible so that no two pieces of software may coexist.

In order to prevent two software engineers from being seated next to each other, we first arrange five persons in a row with a space between them.

\(We get that in 6 places they can sit in ^6C_{3} ways\\ xi.e ^6C_3 = 20 (by formula of combination)\\ Therefore total ways are,6 X 2 X 1 X2 X 20 = 480.\)

Therefore, there are 480 different ways to arrange individuals in a row so that no two engineers sit together.

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Answer:

Row 15 is correct

Step-by-step explanation:

Pascal's triangle:  

                                              1                                            n = 0 , Row = 0

                                      1                 1                                  n = 1  , Row = 1

                             1               2                1                          n = 2 , Row = 2

                                               :

                                          .........

                                           .......

For n = 0, Row number 1  

For n = 1,  Row number 2

For n = 2, Row number 3

We make pascal's triangle but sum of above two number, write below.  

As we can see in pascal's triangle.  

Exponent represent the number of row.  

If binomial has exponent n then nth row of pascal's triangle use.  

For  

Here power is 15  

So, we have to use 15 row of pascal's triangle.  

Hence, Row 15 is correct

Answer:

the second part is 16

Step-by-step explanation:

Answer:

A.) 3/10

Step-by-step explanation:

I added all the colored cubes together (4+6+3+7=20) then I put the number of green cubes (6) over the total (20) so it looks like 6/20. But that can be simplified to 3/10.

Hope I helped! (p.s. Maybe brainliest)

Answer:

Addition:

4 + 6 + 3 + 7 = 20

I put the number of green cubes

6 over the total

20

= 6/20

However, this can be simplified to 3/10.

Answer:

Step-by-step explanation:

2x = 8

Division property of equality

divide both sides by 2

x = 4

Option (D), the last option is the correct statement, If heights in inches of 200 graduating seniors were summarized in the frequency table;

The median height is greater than or equal to 60 inches but less than 66 inches.

The median is the number value that separates the lower and upper values to halves. The median height is determined by arranging all the given heights in order either from the smallest to highest or from highest to smallest without skipping any measurement of the heights.

After arranging all the heights in order, the median height is usually at the middle.

The reason as to why the median height is greater than or equal to 60 inches but less than 66 inches is because the middle height should not be same as the largest height of 66 inches. It is possible to have multiple 60 inch heights from the 200 seniors. It is also possible to have multiple 66 inch of heights from the 200 seniors.

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Answer:

16

Step-by-step explanation:

It's the only one which 5x + 1 can equal, with x being 3.

Hope that helps!

Unit Rate: 3

11 movie tickets: $33

Step-by-step explanation:

$24/8 = 3

The unit rate is 3

3 x 11 = $33

$33 for 11 movie tickets

The questions that could be used to challenge each claim goes as follows.

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The measure of angle W in kite WXYZ is 116 degrees.

the measure of angle W in kite WXYZ, given that the measure of angle X and Z is 86 degrees and the measure of angle Y is 72 degrees, follow these steps:

1. Recall that the sum of interior angles in any quadrilateral (including a kite) is 360 degrees.
2. Add the measures of angles X, Y, and Z: 86 + 86 + 72 = 244 degrees.
3. Subtract the sum of the known angles from 360 degrees: 360 - 244 = 116 degrees.

So, The measure of angle W in kite WXYZ is 116 degrees.

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Answer:

10.4 inches per minute

Step-by-step explanation:

52 ft -> 60 mins

624 in -> 60 mins

10.4 -> 1 min

Hello User,

Answer:

10.4 in per min

Step-by-step explanation:

First multiply 52 by 12 to get inches per hour. 624 in per hour. Then make it 624 inches in 60 minutes. Divide 624 by 60 to get 10.4. So it's speed in inches per minute is 10.4 in per min.

Answer:

Step-by-step explanation:

You could do it like this (if you insist the distributive property should be used).

1/3 * (6 + 1/2)          Remove the brackets

1/3 * 6 + 1/2*1/3      Combine

2 + 1/6                    Change fraction to a decimal

2 + 0.1667              Combine

2.1667

The expected return for Umbrella Company is .40.

Expected Return for Umbrella Company is calculated by the following formula;`ER = p1r1 + p2r2`

Where `ER` is the expected return, `p` is the probability and `r` is the return for each state.

Therefore, the expected return for Umbrella Company can be calculated as follows:

\($$ER = (.60 \times .20) + (.40 \times .70)$$$$

ER = .12 + .28$$$$

ER = .40$$\)

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Answer:

all 3 options are true : A, B, C

Step-by-step explanation:

warning : it has come to my attention that some testing systems have an incorrect answer stored as right answer for this problem.

they say that A and C are correct.

but I am going to show you that if A and C are correct, then also B must be correct.

therefore, my given answer above is the actual correct answer (no matter what the test systems say).

originally the information about the alignment of the point F in relation to point E was missing.

therefore, I considered both options :

1. F is on the same vertical line as E.

2. F is not on the same vertical line as E.

because of optical reasons (and the - incomplete - expected correct answers of A and C confirm that) I used the 1. assumption for the provided answer :

the vertical line of EF is like a mirror between the left and the right half of the picture.

A is mirrored across the vertical line resulting in B. and vice versa.

the same for C and D.

this leads to the effect that all 3 given congruence relationships are true.

if we consider assumption 2, none of the 3 answer options could be true.

but if the assumptions are true, then all 3 options have to be true.

now, for the "why" :

remember what congruence means :

both shapes, after turning and rotating, can be laid on top of each other, and nothing "sticks out", they are covering each other perfectly.

for that to be possible, both shapes must have the same basic structure (like number of sides and vertices), both shapes must have the same side lengths and also equally sized angles.

so, when EF is a mirror, then each side is an exact copy of the other, just left/right being turned.

therefore, yes absolutely, CAD is congruent with CBD. and ACB is congruent to ADB.

but do you notice something ?

both mentioned triangles on the left side contain the side AC, and both triangles in the right side contain the side BD.

now, if the triangles are congruent, that means that each of the 3 sides must have an equally long corresponding side in the other triangle.

therefore, AC must be equal to BD.

and that means that AC is congruent to BD.

because lines have no other congruent criteria - only the lengths must be identical.

36 cm tall will their stacks be when they are the same height for the first time.

Given,

Two students in Mrs. Johnson's preschool class are stacking blocks:

The height of Reece's block = 4 cm

The height of Maddy's block = 9 cm

We have to find the height of the stacks when they are same height for the first time.

Here,

We have to find the least common multiple.

Least Common Multiple (LCM):

The smallest number that is a multiple of both of two numbers is called the least common multiple.

So here,

We have to find the least common multiple of 4 and 9.

Here, the least common multiple of 4 and 9 = 36

Then,

36 cm tall will their stacks be when they are the same height for the first time.

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Let's define the events as follows:

A = Owning a Maytag appliance (Maytag)

I = Owning a GE appliance (GE)

a) To find the probability that a respondent owns an iOS phone, we need to subtract the probability of owning both Android and iOS phones from the probability of owning only iOS phones.

P(IOS) = P(Android and IOS) + P(IOS only)

= 21.8% + (73.4% - 21.8%)

= 21.8% + 51.6%

= 73.4%

Therefore, the probability that a respondent owns an iOS phone is 73.4%.

b) To find the probability that a respondent, given that they own an Android phone, also owns an iOS phone, we can use conditional probability.

P(IOS | Android) = P(Android and IOS) / P(Android)

= 21.8% / 73.4%

= 0.297

Therefore, the probability that a respondent, given that they own an Android phone, also owns an iOS phone is 0.297 or 29.7%.

c) Events A (Maytag) and I (GE) are considered mutually exclusive if they cannot occur together. In this case, we need to check if owning a Maytag appliance and owning a GE appliance can happen simultaneously.

Since the problem statement does not provide any information about the relationship between owning a Maytag appliance and owning a GE appliance, we cannot determine their mutual exclusivity solely based on the given probabilities. We would need additional information to make a definitive conclusion.

d) Two events A (Maytag) and I (GE) are considered independent if the occurrence of one event does not affect the probability of the other event occurring.

To determine if events A and I are independent, we need to compare the joint probability of both events occurring with the product of their individual probabilities.

P(A and I) = P(Maytag and GE) = 0 (not provided)

P(A) = P(Maytag) = 0 (not provided)

P(I) = P(GE) = 0 (not provided)

Without knowing the joint probability of owning both a Maytag and a GE appliance or the individual probabilities of owning each appliance, we cannot determine if events A and I are independent.

In summary, based on the given information, we cannot definitively determine whether events A (Maytag) and I (GE) are mutually exclusive or independent without additional information.

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Answer:

21 weeks or 5 months 1 week (7 days) to save 1250

Step-by-step explanation:

1250-200 (the amount he has)

1050 which is what he needs to save for

1050/50 = 21

Step-by-step explanation:

MEAN:0.33

STANDARD DEVIATION:0.07

WEIGHTED:0.50

0.33×0.07=0.0231÷0.50=0.0462

Answer:

I'm not sure i don't read thing langa no cap

Step-by-step explanation:

Answer: 1 and 3

Step-by-step explanation: For the fractions 3/4 and 7/12, let's list the factors of each numerator and denominator:

Factors of 3: 1, 3

Factors of 4: 1, 2, 4

Factors of 7: 1, 7

Factors of 12: 1, 2, 3, 4, 6, 12

From the lists above, we can see that the common factors of 3/4 and 7/12 are 1 and 3.

Answer:

4 oz

Step-by-step explanation:

1:4 is the ratio for this. in total, this makes 5 oz of paint. multipy 5 by 4 to get 20 oz. multiply the 1 oz of green paint by 4 as well.

You can form different groups of 8 children from a total of 17 children in a charity event.

To determine the number of different groups of 8 children that can be formed from a total of 17 children, we can use the concept of combinations. In this case, since the order of the children doesn't matter, we need to calculate the number of combinations.

The formula to calculate combinations is given by nCr = n! / (r!(n-r)!), where n is the total number of children and r is the number of children we want to select (in this case, 8).

Using the formula, we can substitute n = 17 and r = 8:

17C8 = 17! / (8!(17-8)!)

    = 17! / (8!9!)

Calculating the factorial values, we have:

17! = 17 x 16 x 15 x 14 x 13 x 12 x 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1

8! = 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1

9! = 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1

Simplifying the expression, we get:

17C8 = (17 x 16 x 15 x 14 x 13 x 12 x 11 x 10) / (8 x 7 x 6 x 5 x 4 x 3 x 2 x 1)

    = 24310

Therefore, you can form 24,310 different groups of 8 children from a total of 17 children at the charity event.

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To determine whether the vectors (-2,1,-1) and (0,3,1) are parallel, we need to compare their direction. If they have different directions, they are not parallel. the correct answer is option c) Not parallel.

To check if two vectors are parallel, we can compare their direction vectors. The direction vector of a vector can be obtained by dividing each component of the vector by its magnitude. In this case, let's calculate the direction vectors of the given vectors.

The direction vector of (-2,1,-1) is obtained by dividing each component by the magnitude:

Direction vector of (-2,1,-1) = (-2/√6, 1/√6, -1/√6)

The direction vector of (0,3,1) is obtained by dividing each component by the magnitude:

Direction vector of (0,3,1) = (0, 3/√10, 1/√10)

Comparing the direction vectors, we can see that they are not equal. Therefore, the vectors (-2,1,-1) and (0,3,1) are not parallel. Hence, the correct answer is option c) Not parallel.

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The values of the constants in the equation A = 6, B = -5, C = -3.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

The variable in the equation 3 = –6n + 5 is n.

when written in the form An + B = C

Then 3 = –6n + 5

6n - 5  = -3

A = 6

B = -5

C = -3.

Hence, the values of the constants in the equation A = 6, B = -5, C = -3.

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Double ids refers to a system where there are two separate intrusion detection systems, in this case, system a and system b. The given probabilities indicate the likelihood of each system sounding an alarm in the presence or absence of an intruder.

a. Let P(Ai) and P(Bi) represent the probabilities of system a and system b sounding an alarm in the presence of an intruder, respectively. Let P and P(Bf) represent the probabilities of system a and system b sounding an alarm in the absence of an intruder, respectively. Therefore, P(Ai) = 0.9, P(Bi) = 0.95, P = 0.2, and P(Bf) = 0.1.

b. To find the probability that both systems sound an alarm in the presence of an intruder, we multiply the probabilities of system a and system b sounding an alarm: P(Ai and Bi) = P(Ai) x P(Bi) = 0.9 x 0.95 = 0.855.

c. To find the probability that both systems sound an alarm in the absence of an intruder, we multiply the probabilities of system a and system b sounding an alarm when there is no intruder: P(and Bf) = P x P(Bf) = 0.2 x 0.1 = 0.02.

d. Given that there is an intruder, the probability of both systems sounding an alarm is already calculated in part b as 0.855.

In conclusion, the probabilities of the double IDS (Intrusion Detection System) are represented by P(Ai), P(Bi), P, and P(Bf). The probability that both systems sound an alarm in the presence of an intruder is 0.855, while the probability that both systems sound an alarm in the absence of an intruder is 0.02. Therefore, the given information allows us to calculate the probabilities of the double IDS accurately in different scenarios.

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Answer:

75 is the prime number if I am correct

The equation  that can be used to find the number of hotdogs

and sodas sold at the swim meet.

a)x+0.50y=150

b)  y=-2x+300

c)Number of soda sold y =220 if hot dog is 40.

d)  x intercept=150. It is related to the total earnings of soda and hot dogs sold.

f) y intercept = 300 . It is related to the 2 times of the total earnings of soda and hot dogs sold.

What is x-intercept and y-intercept?

An equation's or a function's graph that contacts the x axis is said to have a "X intercept." This is comparable to a point having a value of zero. Given that it is located on the horizontal axis, this is sometimes referred to as the horizontal intercept. The y value at the point where the line meets the y axis is known as the y intercept. By examining the graph and identifying the point that crosses the y axis, we may determine the y intercept. This point's x coordinate will always be 0. It will be recorded as (0,y). Given that it is on the vertical axis, this is also referred to as a vertical intercept.

Let us take number of hot dogs sold as x and number of soda sold as y.

Cost of one hot dog = $1.00

Cost of one soda = $0.50

Then , cost of x number of hot dogs sold = 1x

cost of y number of soda sold = 0.50y

Then, . At the end of the day you made $150.

=> 1x+0.50y= 150

a) standard form of the equation is ,

=> x+0.50y=150 ------->1

b) x+0.50y=150

=> x+\(\frac{1}{2}\)y=150

=>2x+y=150*2

=>2x+y=300

Then slope intercept form is  y=-2x+300------->2

c) Number of hot dogs sold x=40 and put into 2 ,

then ,  y=-2(40)+300

=> y=-80+300

=>y=220

Number of soda sold y =220

d) To find x intercept put y=0 into 1 , then

=> x+0=150

=>x=150

Here x intercept=150. It is related to the total earnings of soda and hot dogs sold.

e)To find y intercept put x=0 into 1,

=> 0+0.50y=150

=> y = 150/0.50

=> y =300

Here y intercept = 300 . It is related to the 2 times of the total earnings of soda and hot dogs sold.

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Answer:

number 2. Hopes this helps

Step-by-step explanation:

Answer:

70% Increase is your final answer.

Answer:

80

Step-by-step explanation:

jus took the test