Which of the points best represents the location of
5
on the number line?
8
A
B
D
+
-2
-1
0
2
C С
OD
OA
B

Answer:

Interval ( 24 ; 40 ) has  136 participants

Interval ( 16 ; 40 ) has 163 participants

Step-by-step explanation:

Normal distribution.

As variance is 64     then  standard deviation is σ = 8

And  mean   μ₀ = 32

We can see that   μ₀ ± σ      is    32 ± 8

The interval  (  32- 8 ; 32+8 )  is  ( 24 ; 40 )

By empirical Rule we know that   μ₀ ± σ   contains 68% of the population then   200*0,68 = 136

The number of participants between 24 and 40  is 136

By symmetry of these 136   half of them are between 32 and 40 ( 136/2 = 68 )  ( between mean and 40 )

Now in the interval  ( 16 ; 40 ) we note that  16 is  32 - 16  = 16 or μ₀ - 2σ

And again by empirical rule  μ₀ ± 2σ has 95 % of the population that means 200*0.95 = 190 and by symmetry 190/2   95 are between  μ₀ - 2σ, therefore

95 people are between        μ₀ - 2σ   or between  ( 16  ; 32 ) and between  ( 32 ; 40  ) there are 68 people then

The interval  ( 16 ; 40 )  has  95 + 68  = 163 participants

Answer:

12

Step-by-step explanation:

3 times 4 is 12

Answer:

She bought 6 pounds of coffee.

Step-by-step explanation:

80-36.38=43.62

so she spent $43.62 on coffee

43.62 divided by 7.27 = 6

Answer:

30

Step-by-step explanation:

2(6)=12

3(6)=18

12+18=30

Step-by-step explanation:

its 30 2(6)=12 3(6)=18

30

Answer:

a) [tex]P(D'/L)=0.03[/tex]

b) [tex]P(D/L')=0.7[/tex]

Step-by-step explanation:

From the question we are told that

Probability of discovered [tex]P(D)=0.88[/tex]

Probability of aircraft with locator [tex]P(L/D)=0.72[/tex]

Probability of lost aircraft without locator [tex]P(L'/D')=0.86[/tex]

Generally the probability that aircraft are not discovered is mathematically given as

[tex]P(D')=1-0.88[/tex]

[tex]P(D')=0.12[/tex]

Generally the probability that aircraft with locator are discovered is mathematically given as

[tex]P(L'/D)=1-0.72[/tex]

[tex]P(L'/D)=0.28[/tex]

Generally the  Probability of lost aircraft without locator mathematically given as

[tex]P(L/D')=1-0.86[/tex]

[tex]P(L/D')=0.14[/tex]

Generally the  Probability of having a locator mathematically given as

[tex]P(L)=P(L/D)*P(D)+P(L/D')*P(D')[/tex]

[tex]P(L)=0.72*0.88+0.14 *0.12[/tex]

[tex]P(L)=0.6504[/tex]

a)Generally the  Probability of getting lost even with locator mathematically given as

[tex]P(D'/L)=\frac{P(L/D')(P(D')}{P(L)}[/tex]

[tex]P(D'/L)=\frac{0.14*0.12}{0.6504}[/tex]

[tex]P(D'/L)=0.0258302583[/tex]

[tex]P(D'/L)=0.03[/tex]

b)Generally the  Probability of getting lost even with locator mathematically given as

[tex]P(D/L')=\frac{P(L'/D)(P(D)}{P(L')}[/tex]

[tex]P(D/L')=\frac{0.28*0.88}{1-0.6504}[/tex]

[tex]P(D/L')=0.704805492[/tex]

[tex]P(D/L')=0.7[/tex]

Answer:

hello some information related to your question is missing

answer : The pattern discovered supports the hypothesis that taller customers have larger shoe sizes but with some exceptions and this exceptions are ; at Height 5ft 10 inches two people are seen to have different shoe sizes i.e. Eduardo with shoe size : 10.25 inches and Susan with shoe size : 10inches. another exception from the pattern is Lily having a height of 5 ft and shoe length of 9 inches .

Step-by-step explanation:

From the data given the pattern discovered supports the hypothesis that taller customers have larger shoe sizes but with some exceptions and this exceptions are ; at Height 5ft 10 inches two people are seen to have different shoe sizes i.e. Eduardo with shoe size : 10.25 inches and Susan with shoe size : 10inches. another exception from the pattern is Lily having a height of 5 ft and shoe length of 9 inches .

Answer:

500$ dollars

Step-by-step explanation:

Answer:

12/5

Step-by-step explanation:

9 : 3 3/4

9 : 15/4           change to improper fraction

36/4 : 15/4      LCD, 4

36 / 15            compare

12 / 5              reduce

Answer:

33cm

Step-by-step explanation:

385 / 35 = 11

11 times 3 = 33

Answer:

(b) The new price of car is $43584.

Step-by-step explanation:

Answer:

t = mqv/s

Step-by-step explanation:

see pic for explanation

Answer:

C. 2 years at 6.5 percent

Step-by-step explanation:

I took the quiz and got it right Edg.2021

Answer:

a = -bc

Step-by-step explanation:

We are given the equation:

c = -a/b

Because multiplication and division are inverse operations, if we move b over to the other side, since it was dividing on the right side, it would be multiplied on the other side (I don't know how to explain that well)

so you can make it look like this:

b*c = -a

Or:

-a = b*c

Then, do isolate a, we will have to divide by -1 on both sides

a = -b*c

To check this, we can plug in numbers

-8 = -16/2

-16 = -8*2

16 = 8 * 2

Let me know if you have any questions

Answer:

5 months

Step-by-step explanation:

plan a: $145 +$25x ........ $145 + ($25 x 4)= $245

plan b: $50x.......... $50 x 5= $250

Answer:

ART A:  Angles 1 and 4 are Corresponding Angles.  Angles 1 and 3 are Vertical Angles.  Angles 1 and 2 are Adjacent Supplementary Angles.  Angles 2 and 3 are also Adjacent Supplementary Angles.  Angles 3 and 4 are Opposite Interior Angles.  

PART B:  

<2=99 °

<3=81 °

<4=99 °

Step-by-step explanation:

PART A:  Angles 1 and 4 are Corresponding Angles.  Angles 1 and 3 are Vertical Angles.  Angles 1 and 2 are Adjacent Supplementary Angles.  Angles 2 and 3 are also Adjacent Supplementary Angles.  Angles 3 and 4 are Opposite Interior Angles.  

PART B:  

<2=99 °

<3=81 °

<4=99 °

Answer:

7 1/2 is the answer because you have to multiply the whole by the denominator. Make that product the numerator.

Step-by-step explanation:

Answer:

Step-by-step explanation:

True:

- There are two variables

- 3 is the constant

- There are 3 terms in the expression

Answer:

The product of 8 and 7 is greater than 50

Answer:

8x > 50

Step-by-step explanation:

Answer:

a=-3

Step-by-step explanation:

First, subtract 6 from both sides

6=-2a

divide -2 from both sides

-3=a

Answer:

y=2x-5

explanation:

y=mx+b

Answer:

4 cups

Step-by-step explanation:

Answer:

Option A, The correlation between amount of food served and price is very strong within each restaurant, but seems weak when both restaurants are combined.

Step-by-step explanation:

The graphs for this question are provided in the attachment

Solution -

Graph I - the data points in the graph I do not follow any best fit curve or trendline. This indicates that data is not correlated.

Graph -II In graph II, apart from few outliners majority of data points lie on the best fist curve or the trendline.

Hence, the relation between the two variables i.e food served and price is strong.

Option A fits well for our answer hence it is the correct answer

Step-by-step explanation:

The Symmetric Property states that for all real numbers x and y , if x=y , then y=x . Transitive Property. The Transitive Property states that for all real numbers x ,y, and z, if x=y and y=z , then x=z .

Answer:

12

Step-by-step explanation:

you have 72 and 6

72 divided by 6 equals 12.

12 x 6 = 72

12 = x

Answer:

Step-by-step explanation:

This is the associative property for addition. In informal language, it says under addition, the order of the addition is not critical.

Answer:

6;8

3;4 that the lowest that it can go. the equivalent is 6;8 but if you want to change it into decimal form you can divide by two which is 1.5;2 but the answer is 6;8 because 3;4 is already in it's lowest form, or is already simplified to it's maximum extent.

Answer:

2

Step-by-step explanation:

We have these numbers: 2, 5, 3, 1, 0, 4, 2, 7, 0, 2, 7, 3

The mode is the most common value. I can see 3 two's in the data set. The mode is 2.

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