Use triangle DEF shown below to answer the question that follows. What is the value of X rounded to the nearest hundredth?

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:

169/12 square units.

Step-by-step explanation:

Solution :

a).

Given : Number of times, n = 25

            Sigma, σ = 0.200 kg

            Weight, μ = 13 kg

Therefore the hypothesis should be tested are :

[tex]$H_0 : \mu = 13 $[/tex]

[tex]$H_a : \mu \neq 13$[/tex]

b). When the value of [tex]$\overline x = 12.84$[/tex]

 Test statics :

   [tex]$Z=\frac{(\overline x - \mu)}{\frac{\sigma}{\sqrt n}} $[/tex]

  [tex]$Z=\frac{(14.82-13)}{\frac{0.2}{\sqrt {25}}} $[/tex]

          [tex]$=\frac{1.82}{0.04}$[/tex]

          = 45.5  

P-value = 2 x P(Z > 45.5)

            = 2 x 1 -P (Z < 45.5) = 0

Reject the null hypothesis if P value  < α = 0.01 level of significance.

So reject the null hypothesis.

Therefore, we conclude that the true mean measured weight differs from 13 kg.

Answer:

293.27

Step-by-step explanation:

418.96 x  .7 = 293.27

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:

S = -4

Step-by-step explanation:

-8 minus -4 is basically -8-(-4) which converts to -8+4, and the result of that is -4.

Answer:

s-4+4=-8+4

s=-4

Step-by-step explanation:

x is equal to -4

Answer:

it is positive 3/4

Step-by-step explanation:

it is the opposite of -3/4

Answer:

it would be a positive 3/4

Answer:

64

Step-by-step explanation:

8x4 is 32 multiplied by 2 is 64

V=LxWxH

(length x Width x Height)

Answer:

A and E

Step-by-step explanation:

A) 7 hrs in IDU will cost you $305.00 while SC cost $385

B) 4hrs in and SC will charge you more than IDU by $20

C) SC charges you more than IDU by $50 so IDU is more cost effective

D)SC will charge you $140 more than IDU but not $200

E) 55 x 3 = 165 while 35 × 3 105 plus 60 is 165 therefore it is the same

Answer:

the answer is a

Step-by-step explanation:

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:

15

Step-by-step explanation:

Answer:

3rd limited

Step-by-step explanation:

Answer:

210 degrees

Step-by-step explanation:

Convert the problem from radians to degrees using the ratio 180/ and it will give you 210.

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.

My Jingle:

Ice cream cake - oh, ice cream cake...

How I love the way you taste...

You melt in my mouth with every bite...

Dreams of you keep me up at night...

Ice cream cake - oh, ice cream cake...

How I love the way you taste.

I hope you like it!

Answer:

[tex]4\sqrt{3}[/tex]

Step-by-step explanation:

[tex]\sqrt{48} \\\\4\sqrt{3}[/tex]

Answer:

the second option is correct

Step-by-step explanation:

Answer:

weird triangle

Step-by-step explanation:

Answer:

Scalene triangle

Step-by-step explanation:

Scalene triangle: If the length of all the sides of triangle have  different measurements then it is scalene triangle

Answer:

A and E

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]

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:

Mean = 2.40

Standard deviation = 1.356

Step-by-step explanation:

Given the data:

X :___ 0 __1 ___ 2 ___ 3 __ 4 __ 5 __Total

P(x)_0.02_0.31_0.25_0.19_0.13 _0.10_ 1.00

The mean [E(X)]

Σx*p(x)

(0*0.02)+(1*0.31)+(2*0.25)+(3*0.19)+(4*0.13)+(5*0.10) = 2.4

The standard deviation :

Std(x) = sqrt[VAR(x)]

Var(x) = ((0^2 * 0.02)+(1^2 * 0.31)+(2^2 * 0.25)+(3^2 * 0.19)+(4^2 * 0.13)+(5^2 * 0.10)) - 2.4^2

Var(X) = 7.6 - 5.76 = 1.84

Std(X) = sqrt(1.84) = 1.356 (3 decimal places)

Answer:

uhm- ok ok ok level hard o my gosh

Answer:

y = x/3 - 5

Step-by-step explanation:

Answer:

y = (1/3)x  - 5 .

Step-by-step explanation:

(-6 , -7) ; (3 ,-4)

Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\[/tex]

          [tex]=\frac{-4-[-7]}{3-[-6]}\\\\= \frac{-4 + 7}{3+6}\\\\= \frac{3}{9}\\\\=\frac{1}{3}[/tex]

m = 1/3   ; (3,-4)

y - y1 = m(x - x1)

[tex]y - [-4]=\frac{1}{3}(x-3)\\\\y + 4 = \frac{1}{3}x-3*\frac{1}{3}\\\\y + 4 = \frac{1}{3}x-1\\\\y =\frac{1}{3}x-1-4\\\\y = \frac{1}{3}x - 5[/tex]

Answer:

$741.52 TRUSTTT

Step-by-step explanation:

Answer:

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

Answer:

0.78

Step-by-step explanation:

0.03*26=0.78 simple math lol

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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Answer:

y=-2x-1

Step-by-step explanation:

Your goal from Standard form to slope intercept form is to have the x on the right side of the equal sign. All you have to do is subtract 2x from both sides and you end up with y= -2x-1