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2 years ago

you pick a number between 1,000 and 5,000 then you flip a coin identify if the two events are independent or dependent explain

Mathematics

2 answers:

Lelu [443]2 years ago

7 0

Independent one has nothing to with the other

Mariana [72]2 years ago

6 0

Answer with Step-by-step explanation:

Events A and B are said to be independent if:

P(A∩B)=P(A)×P(B)

A:Picking a number between 1000 and 5000

B:flipping a coin

P(A)=1/4001

P(B)=1

P(A∩B)=1/4001

=P(A)×P(B)

Hence, the two events are independent

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A machine fills boxes weighing Y lb with X lb of salt, where X and Y are normal with mean 100 lb and 5 lb and standard deviation

Bas_tet [7]

Answer:

Option b. None is the correct option.

The Answer is 63%

Step-by-step explanation:

To solve for this question, we would be using the z score formula

The formula for calculating a z-score is given as:

z = (x-μ)/σ,

where

x is the raw score

μ is the population mean

σ is the population standard deviation.

We have boxes X and Y. So we will be combining both boxes

Mean of X = 100 lb

Mean of Y = 5 lb

Total mean = 100 + 5 = 105lb

Standard deviation for X = 1 lb

Standard deviation for Y = 0.5 lb

Remember Variance = Standard deviation ²

Variance for X = 1lb² = 1

Variance for Y = 0.5² = 0.25

Total variance = 1 + 0.25 = 1.25

Total standard deviation = √Total variance

= √1.25

Solving our question, we were asked to find the percent of filled boxes weighing between 104 lb and 106 lb are to be expected. Hence,

For 104lb

z = (x-μ)/σ,

z = 104 - 105 / √25

z = -0.89443

Using z score table ,

P( x = z)

P ( x = 104) = P( z = -0.89443) = 0.18555

For 1061b

z = (x-μ)/σ,

z = 106 - 105 / √25

z = 0.89443

Using z score table ,

P( x = z)

P ( x = 106) = P( z = 0.89443) = 0.81445

P(104 ≤ Z ≤ 106) = 0.81445 - 0.18555

= 0.6289

Converting to percentage, we have :

0.6289 × 100 = 62.89%

Approximately = 63 %

Therefore, the percent of filled boxes weighing between 104 lb and 106 lb that are to be expected is 63%

Since there is no 63% in the option, the correct answer is Option b. None.

3 0

2 years ago

2 Rita bought three and forty-eight hundredths pounds of bananas at the store. How is this number written in expanded notation?

boyakko [2]

The cost of bananas = $ 3.48

This can be written as :

this number written in expanded notation as : (3 × 1) + (4 × 0.1) + (8 × 0.01)

3+0.4+0.08 = 3.48

Hence, 1st option is correct.

5 0

2 years ago

Jeanie completed a 27 mile duathlon (a race that is a combination of running and biking) in exactly 2 hours. she ran an average

-Dominant- [34]

<span>Let x = the miles Jeanie ran y = the miles Jeanie biked T = 2 hours total time for the duathlon v1 = 8.5 mph Jeanie's running speed and v2 = 16 mph Jeanie's biking speed But T = Jean's time she ran t1 + time she biked t2 I. e t1 + t2 = 2 So we have average speed v2 when she biked = distance (y) / time (t2) Distance y = v2 * t2 = 16 * t2 and distance when she ran x = 8.5 * t1 Since she covered 27 miles while running and biking we have x + y = 27 8.5t1 + 16t2 =27 ------(1) t1 + t2 = 2 --------------(2) The simultaneous equation gives us t1 = 2/3 and t2 which is time she biked = 4/3 So 4/3 = 1 1/3. Which is 1 hour 20 minutes</span>

8 0

2 years ago

Henry constructed circle A with a radius of 4 units. He then created a sector as shown in the figure below. Which of the followi

puteri [66]

The picture in the attached figure

we know that
area of a sector=(∅*pi/360°)*r²--------> when ∅ is in degree

in this problem
∅=120°
r=4 units
so
area of a sector=(120°*pi/360°)*4²-------> (120°/360°)*(16*pi) units²

The <span>expressions to find the area of the shaded sector is
</span>(120°/360°)*(16*pi) units²

(1/3)*(16*pi)----> (16/3)*pi units²

the area of the shaded sector is (16/3)*pi units²

8 0

1 year ago

1. WHEELS Zack is designing wheels for a concept car.

mars1129 [50]

Answer:

9 inches

Step-by-step explanation:

Diameter=D

Radius=R

D=(2)R

(18)=(2)R

18/2=2/2 R

9=R

4 0

1 year ago