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Answer:

0.15866

Step-by-step explanation:

Given that:

Mean, m = 22

Standard deviation, s = 2

Sample size, n = 100

P(x < 21.8):

Obtain the Zscore ;

Z = (x - m) ÷s/sqrt(n)

Z = (21.8 - 22) ÷ 2/sqrt(100)

Z = - 0. 2 ÷ 0.2

Z = - 1

P(Z < - 1)

From Z probability calculator :

P(Z < - 1) = 0.15866

Hence, Probability of obtaining a score less than. 21.8 is 0.15866

Answer:

ux=22

sdx=0.2

p(x<21.8)=0.159

just took the test

Step-by-step explanation:

Answer:

$741.52 TRUSTTT

Step-by-step explanation:

Answer:

x + (tax percent out of 100)*x, which is 748.65.

Answer:

i willl help on all three if u help on my chemistry problems

Answer:

Step-by-step explanation:

Answer:

the size of the matrix 2x3

Step-by-step explanation:

just remember that rows are horizontal and columns are vertical hope this helps you out

Answer:

203 more minutes

We know she swam 154 min in first week.

And in two weeks she swam 357 minutes.

We need to figure out x (total of minutes swam in week two)

So do 357=x+154

Subtract 154 from both sides

x=203

Hope this helps

The slope in the equation p = 52 + 0.04w represents the rate of change in the water bill payment for each additional unit of water consumed.

Specifically, the slope of 0.04 indicates that for every increase of one unit in the number of water units (w), the water bill payment (p) will increase by 0.04 dollars.

This means that the slope represents the incremental cost of each additional unit of water.

In practical terms, the slope of 0.04 implies that for every additional unit of water consumed, the water bill will increase by $0.04.

This indicates a constant rate of increase in the water bill for each additional unit of water used.

It's important to note that the slope remains constant throughout the equation, suggesting a linear relationship between the amount of water consumed and the corresponding bill payment.

Therefore, The slope, in this case, is the coefficient of the variable w, which is 0.04.

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The probable question may be:

What is the meaning of the slope in the equation p = 52 + 0.04w, which models the relationship between the water bill payment p in dollars and the number of units of water w ?

Answer: 21

12

Log8(8 is under the log) the answer is 7

Step-by-step explanation:

Answer:

V ≈ 62.83

Step-by-step explanation:

Cylinder Formulas in terms of r and h

Calculate the volume of a cylinder:

V = πr2h

Calculate the lateral surface area of a cylinder (just the curved outside):

L = 2πrh

Calculate the top and bottom surface area of a cylinder (2 circles):

T = B = πr2

Total surface area of a closed cylinder is:

A = L + T + B = 2πrh + 2(πr2) = 2πr(h+r)

Solution

V=πr 2h = π · 22 · 5 ≈ 62.83185

Therefore, the volume of the cylinder in the nearest tenths is V ≈ 62.83

Answer:

76

Step-by-step explanation:

The discriminant is [tex]b^{2} - 4ac[/tex] part of the quadratic formula.

a term is 3

b term is -10

c term is 2 (add it to the side of the 3 x squared minus 10 x)

Plug the values in!

(-10)^squared - 4(3)(2)

100-24 = 76

Answer:

76

Step-by-step explanation:

on edge

9514 1404 393

Answer:

  π/4, 7π/4

Step-by-step explanation:

Adding √2 and dividing by 2 makes the equation ...

  cos(θ) = (√2)/2

The first-quadrant solution is ...

  θ = arccos((√2)/2) = π/4

The angle in the 4th quadrant with the same reference angle will have the same cosine value.

  θ = 2π -π/4 = 7π/4

The two solutions are θ = π/4, 7π/4.

Answer:

false

Step-by-step explanation:

because if one of the right side goes to two or more of the left its not a function

Answer:yes

Step-by-step explanation:

As the Amount is unknown Hence X = Any amount Unless the water amount is given the instructions is yes as she added 120ML Of juice into water which is currently X

Answer:

18.85

Step-by-step explanation:

adwadad

2x = 74

x = 74 ÷ 2

x = 37

that's all

Answer:

x = 37

Step-by-step explanation:

x2 = 74

74 ÷ 2 = 37

therefore the answer is x = 37

Answer

16/43

Step-by-step explanation:

17 Male + 27 female = 44 students

now n= 2 so first student was male so one male student was taken out of the equation so 16 male left. now left male students by remaining students  so now total left students = 43

so, prob = remaining males/remaining students=16/43

Answer:

The probability to one person to be a dog owner is p=0.56 (because 56% of people own dogs) and the probability that one person is not dog owner is q=1-p=1-0.56=0.44.

Step-by-step explanation:

Choosing two people at random, there are such possibilities:

1. both are dog owners;

2. first owns a dog, second not;

3. first hasn't dog, second owns a dog;

4. both haven't dogs.

Answer: if you pick two people at random the probability that they both own a dog is 0.3136.

Hope this helps! :))

The Probability that they both own a dog is 0.3025.

Here,

55% of people own dogs.

If pick two people at random,

Then we have to find the probability that they both own a dog.

What is Probability?

Probability is defined as the likelihood of something occurring or the chance of something happening.

Now,

55% of people own dogs.

Hence, the probability that they both own a dog = 55% * 55%

                                                                          = 0.55 * 0.55

                                                                          = 0.3025

So, The probability that they both own a dog is 0.3025.

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Answer:

I think 1.75

Step-by-step explanation:

the long side is two times the amount of the tall side so take the smaller long side and divide by two.

Answer:

a. Find the multiples of 4 and 12 in the 30 to 40 range:

4 ⇒ 32, 36, 40

12 ⇒ 36

Answer = 36

b. Divisors of 24 ⇒ 2, 3, 4, 6, 8, 12, 24

Answer = 3

3 is the only odd divisor.

c. Gcd = Greatest common divisor that isn't zero.

35 divisors ⇒ 1, 5, 7, 35

42 divisors ⇒ 1, 2, 3, 6, 7, 14, 21, 42

Answer = 7

d. 98 divisors ⇒ 1,2,7,14,49,98

99 divisors ⇒ 1,3,9,11,33,99

Answer = 1

e. Answer = 25.

A number's greatest divisor is its own self.

Answer:

That depends on which operations you want to do first. The order of operations affect to outcome of the equation.

In this case:

15 - (3 x 4) + 9 = 12

Answer:

It varies but this is one example

15 - (3 x 4) + 9 = 12

plz mark as brainliest

Answer:

Step-by-step explanation:

Answer:

[tex] 217 \: {mi}^{2} [/tex]

Step-by-step explanation:

Area of the figure

[tex]= 13*7 + 21 * 6 \\ = 91 +12 6 \\ = 217 \: {mi}^{2} [/tex]

$110

Step-by-step explanation:

formula= P×T×R ÷ 100

550×4×5÷100

55×4×5÷10

1100÷10

$110

Answer:

Step-by-step explanation:

Number of clips in box A = 40

Number of clips in box B = 23

If Sally took out 6 clips from each box

Remaining clips in box A = 40 - 6 = 34 which is twice of 17

Remaining clips in box B = 23 - 6 = 17

Answer:

Sally took 6 paperclips from each box

Step-by-step explanation:

Paper clips in Box A = 40

Paper clips in Box B  = 23

Let the equal number paperclips removed from each box = x

Number of clips in box A after taking 'x' clips = 40 -x

Number of clips in box B after taking 'x' clips = 23 -x

40 - x = 2*(23 -x)

40 - x = 2*23 - 2*x

40 -x = 46 - 2x  {Add 2x to both sides}

40 - x + 2x = 46          {Combine like terms}

40 + x = 46         {Subtract 40 form both sides }

x = 46 - 40

x = 6

Sally took 6 paperclips from each box

Answer:

The cylinder has the great volume

Step-by-step explanation:

The volume of a cone = (h/3)πr²

The volume of a cylinder = hπr²

The only difference is that h is divided by 3 for the volume of a cone, making the total volume of a cone smaller than the volume of a cylinder with the same radius and height.

Answer:

they are equal

Step-by-step explanation:

1/3 to a decimal is 0.333

3/9 is 0.333

so they are the same the person above me is wrong

Answer:

Apparently that's false because 4 does not equal -1, 4 is totally 10 times greater than -1

Hopefully that helps

Step-by-step explanation:

Answer

Sorry If this is not correct, but I believe you keep the X varriable the same and multiply the Y varriable by 4. This means it will move to the right on the grid.

New coordinates: G(3,4) T(1,4) B(3, 20)

Answer:

b=24

Step-by-step explanation:

the sides are equal to each other so

b+24=2b

24+24=2 times 24

48=48

so b=24

Answer:

32)  7/12 ≈ 58.3%

33)  Min = 18
       Q1 = 26
       Median = 32
       Q3 = 47
       Max = 67

Step-by-step explanation:

To determine the probability of grabbing a lemon-lime or an orange-flavored bottle from the cooler, we need to calculate the number of favorable outcomes and the total number of possible outcomes.

In the given scenario, there are 4 lemon-lime flavored bottles and 3 orange-flavored bottles in the cooler, plus 5 fruit-punch flavored bottles. Therefore:

The probability of grabbing a lemon-lime or an orange-flavored bottle is:

[tex]\begin{aligned}\sf Probability &= \sf \dfrac{Favorable\;outcomes}{Total\; outcomes}\\\\&=\dfrac{7}{12}\\\\& \approx 58.3\%\end{aligned}[/tex]

[tex]\hrulefill[/tex]

The five-number summary is a statistical summary of a dataset that includes the minimum and maximum values, the median (middle value), and the first and third quartiles. It provides a concise overview of the distribution and central tendency of the data.

First, sort the given data in ascending order (this has already been done for us):

The minimum value is the smallest value in the data set.

[tex]\boxed{\sf Minimum \; value = 18}[/tex]

The median is the middle value of the sorted data.

In this case, we have 8 data points, so the median is the average of the two middle values:

[tex]\boxed{\sf Median\;(Q_2)=\dfrac{28+36}{2}=32}[/tex]

The first quartile is the median of the lower half of the data.

In this case, we have 4 data points in the lower half (18, 24, 28, 28), so the median is the average of the two middle values:

[tex]\boxed{\sf First \;Quartile\;(Q_1)=\dfrac{24+28}{2}=26}[/tex]

The third quartile is the median of the upper half of the data.

In this case, we have 4 data points in the upper half (36, 44, 50, 67), so the median is the average of the two middle values:

[tex]\boxed{\sf Third\;Quartile\;(Q_3)=\dfrac{44+50}{2}=47}[/tex]

The maximum value is the largest value in the data set.

[tex]\boxed{\sf Maximum\; value = 67}[/tex]

Therefore, the five-number summary for the given data set is:

To construct the box and whisker graph (attached):

The events are mutually exclusive because a bottle cannot be both lemon-lime and orange-flavored simultaneously , the scenario involves mutually exclusive events.

The five-number summary is as follows:

Minimum: 18

Q1: 26

Median: 36

Q3: 47

Maximum: 67

The scenario states that there are 12 bottles of sports drinks in a cooler: 4 lemon-lime flavored, 3 orange-flavored, and 5 fruit-punch flavored. You grab a bottle, and it is either lemon-lime or orange flavored. To determine if this scenario involves mutually exclusive events, we need to assess whether the two events (grabbing a lemon-lime flavored bottle and grabbing an orange-flavored bottle) can occur at the same time or not.

In this case, the events are mutually exclusive because a bottle cannot be both lemon-lime and orange-flavored simultaneously. Therefore, the scenario involves mutually exclusive events.

To find the five-number summary (minimum, first quartile, median, third quartile, and maximum) for the given data and draw a box and whisker plot, we need to arrange the data in ascending order first:

18, 24, 28, 28, 36, 44, 50, 67

Arranging the data in ascending order: 18, 24, 28, 28, 36, 44, 50, 67

The minimum value is 18.

The first quartile (Q1) is the median of the lower half of the data: (24 + 28) / 2 = 26.

The median is the middle value of the data set: 36.

The third quartile (Q3) is the median of the upper half of the data: (44 + 50) / 2 = 47.

The maximum value is 67.

The five-number summary is as follows:

Minimum: 18

Q1: 26

Median: 36

Q3: 47

Maximum: 67

To draw a box and whisker plot, you can use the five-number summary to create a visual representation of the data distribution. However, since I can't draw graphs here, you can create a box and whisker plot yourself. Draw a number line and place a box that spans from Q1 to Q3, with a line inside representing the median. Add "whiskers" extending from the box to the minimum and maximum values.

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