help meeeeeeeeeeeeeeeeeeeeeeeeee

Each shaded area represents a probability. The first plot, for instance, represents the probability P (-z ≤ Z ≤ z) = 0.8064 for some number z that you have to find. To find these z, you'll need to be familiar with properties of the normal distribution as well as with lookup tables for z-scores or using inverse CDFs. (I'll provide a link in the comments to a calculator you can use.)

(a) The area under the curve between -z and z is 0.8064. This means the area outside this interval is 1 - 0.8064 = 0.1936. Because the distribution is symmetric about its mean (0 for the standard normal distribution), you know that the area under the curve to either side of the shaded region is half of this, or 0.0968. This area corresponds to the probability P (Z ≤ -z).

So you have

P (-z ≤ Z ≤ z) = P (Z ≤ z) - P (Z ≤ -z) … … … (a property of continuous distributions)

0.8064 = P (Z ≤ z) - 0.0968   ==>   P (Z ≤ z) = 0.9032

and looking up the z-score, you would find z = 1.3.

(b) Because this distribution is symmetric about the mean, the mean is the same as the median, which is the number z such that P (Z ≤ z) = 0.5. In other words, half of the entire distribution falls to either side of the mean.

We use this fact to write

P (0 ≤ Z ≤ z) = P (Z ≤ z) - P (Z ≤ 0) = P (Z ≤ z) - 0.5 = 0.4452

==>   P (Z ≤ z) = 0.9452

==>   z ≈ 1.6000

(c) Keep in mind that the CDF is defined as P (Z ≤ z), so in order to find a probability like P (Z ≥ z), you have to take the complement:

P (Z ≥ z) = 1 - P (Z ≤ z) = 0.1711   ==>   P (Z ≤ z) = 0.8289

==>   z ≈ 0.9498

(d) Same reasoning as in (c):

P (Z ≥ z) = 1 - P (Z ≤ z) = 0.9918   ==>   P (Z ≤ z) = 0.0082

==>   z ≈ -2.3999

(e) Much more straightforward:

P (Z ≤ z) = 0.9115   ==>   z ≈ 1.3501

Answer:

Straight

Step-by-step explanation:

Its 180° or a straight line

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-Chetan K

Answer:

Straight po di kopo sure

Step-by-step explanation:

Hope it helps

Answer:

7^5

Step-by-step explanation:

7x7x7x7x7 is equal to 7^5. Depending on how much sevens there are, that is the power number. In this case there are 5 sevens so that means it is 7^5.

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Answer:

7^5

Step-by-step explanation:

see image below:)

Answer:

C. 44.805

Step-by-step explanation:

41,390,000 milligrams is 41.39 in kilograms and then 3,415 grams in kilograms is 3.415 so add those up 41.39+ 3.415= 44.805kg

The total weight in kilograms is C. 44.805 kg

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Convert mg to kg;

Caroline weighs 41,390,000 mg

1 mg = 0.000001 kg

41,390,000 mg = x

x = 41,390,000 mg × 0.000001 kg

= 41.39 kg

Now, Converting her baby sister's weight to kg

1000g = 1 kg

3415 g = x

Cross Multiply;

1000x = 3415g × 1 kg

x = 3415g × 1 kg/1000

x = 3.415 kg

Therefore, the total weight in kilograms is;

41.39 kg + 3.415 kg

= 44.805 kg

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Answer:

41

Step-by-step explanation:

0,5r = 20,5|:0,5

r = 41

Answer:

umm sorry but you haven't given the examples yet!!

Answer:

maybe it's option 'B' because it earns interest

Answer:

option A:  120°

Step-by-step explanation:

[tex]Area \ of \ circle = \pi r^2\\\\Area \ of \ sector = \pi r^2 \frac{ \theta}{360}\\\\Ratio \ of \ sector \ to \ circle = \frac{1}{3}\\\\That is, \\\frac{1}{3} = \frac{\pi r^2 \frac{\theta}{360}} {\pi r^2}\\\\\\\frac{1}{3} = \frac{\theta}{360} \\\\\frac{360}{3} = \theta\\\\120 = \theta[/tex]

9514 1404 393

Answer:

  1328.4 square units

Step-by-step explanation:

The total surface area is the sum of the areas of the trapezoidal bases, and the areas of each of the four rectangular faces.

The area of each trapezoidal base is ...

  A = 1/2(b1 +b2)h

  A = 1/2(10 +24)(9) = 153 . . . . square units

__

The total area of the four rectangular faces is ...

  A = bh . . . . area of one face

  A = 11.4(18) +10(18) +11.4(18) +24(18) = (11.4 +10 +11.4 +24)(18) = 1022.4

So, the total area is ...

  SA = 2×base area + face area

  = 2×153 +1022.4 = 1328.4 . . . . square units

Answer:

I'm pretty sure it's 3/5

Answer:

7cm

14cm

dπ or 2r π

14π or 2(7π)

Step-by-step explanation:

Radius = 7cm

Diameter = 7 x 2 = 14cm

Circumference = 2 x π x r = dπ

Circumference Value = 2 x π x 7 = 14π

Answer:

Radius: 7 cm

Diameter: 14 cm

Circumference Formula: c = dπ or c = 2rπ

Circumference Value: c = 14π or c = 2(7π)

Step-by-step explanation:

We are given that the radius of the circle is 7 cm. The diameter will always be twice as large as the radius so that will lead us to 14 cm as the diameter of the circle. The formula is quite simple. There are two different types of formulas for finding the circumference of a circle. If only the diameter is given, then we use the formula c = dπ, where d is for diameter and π is for pi or 3.14159. If only the radius is given, then we use the formula c = 2rπ, where r is for radius and π is for pi or 3.14159. In this case, we are going to use the formula for radius since only the radius is given. Simply plug in the value for radius then multiply the radius to π or 3.14159 and multiply the product by 2 to get the circumference of the circle. If I am wrong, please let me know. I hope this helps! :D

Answer b

Step-by-step explanation: :)

Answer:

A. the maximum value would increase

C. the median would stay the same

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data :

8000, 8000, 7000, 11000, 15000, 17000, 20000, 1000000.

Mean = Σx / n = 1086000 / 8 = 135750

Median = 1/2(n+1)th term = 8000

The lower quartile :

Q1 = 1/4(n+1)th term

Q1 = 8000

Q3 = 3/4 (n+1)th term

Q3 = 18500

IQR = 18500 - 8000 = 10500

OUTLIER :

8000 - (1.5*(10500)) = - 7750

18500 + (1.5*(10500)) = 34250

10% trimmed mean

10% * 8

Cut off 1 from the top and bottom

Data becomes : 8000, 8000, 11000, 15000, 17000, 20000

Trimmed mean = 13166

Answer:

10 miles to earn 200 cash

Steps:

80 + 12m = 200

12m = 200 - 80

12m = 120

12m/12 = 120/12

m = 10

Answer:

200 = 80+12m

10 miles

Step-by-step explanation:

She will get 80 from the first and 12m from the second

She needs 200

200 = 80+12m

Subtract 80 from each side

200 -80 = 12m

120 = 12m

Divide each side by 12

120/12 = m

10 =m

She needs to walk 10 miles

9514 1404 393

Answer:

  225 mL

Step-by-step explanation:

The amount Mariana drank was ...

  (4.5 mL/s)×(17 s) = 76.5 mL

The original quantity is that amount added to the amount remaining:

  original amount = amount drunk + amount remaining

  = 76.5 mL +148.5 mL

  original amount = 225 mL

Answer:

Within 0.5 of ;

is not ;

Step-by-step explanation:

Given the data:

The actual standard deviation, = 1

;

The range rule of thumb to estimate the value if standard deviation is ;

Estimated standard deviation = Range / 4

The range = (maximum - minimum) values

The estimated standard deviation = 4 / 4 = 1

Hence, the estimated standard deviation is with 0.5 of the actual standard deviation, Thus, the estimated standard deviation is not substantially different from the actual standard deviation.

Answer:

percent: 45%

fraction: 11/20

Step-by-step explanation:

Answer:

ELHLADOE

Step-by-step explanation:

The number of ways using permutation and combination of ice cream is = 4*6*14 ways.

The distinctive methods of arranging a set of items right into a sequential order are termed Permutations. one of the several methods of choosing items from a massive set of gadgets, without thinking about an order is termed a mixture.

mixture and permutation are extraordinary methods of grouping elements of a set into subsets. In aggregate, the factors of the subset may be listed in any order. In a permutation, the elements of the subset are indexed in a particular order.

explanation:

using multiplication rule of probability.

=The number of choices is 4 cones

= The number of choices of flavour = 6

= The number of choices topping = 14

Hence total combination is = 4*6*14

336.

A permutation is a mathematical calculation of the variety of approaches a selected set can be organized, wherein the order of the arrangement topics.

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Answer:

[tex]\displaystyle m = 0[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

Point (2, -3)

Point (6, -3)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Answer:

x ≥6

Step-by-step explanation:

Given the product:

√(x-6)*√(x+3)

The function has to be defined if x ≥0

Hence;

√(x-6)*√(x+3)≥0

Find the product

√(x-6)(x+3)≥0

Square both sides

(x-6)(x+3)≥0

x-6≥0 and x+3≥0

x≥0+6 and x ≥0 - 3

x ≥6 and x ≥-3

Hence the required inequality is x ≥6

Answer:

B. x>/ 6

Step-by-step explanation:

A P E X

Answer:

$17.95

Step-by-step explanation:

Subtract 6.15 from 60.00

That gives you 53.85

Now divide that by 3

And you get 17.95

Answer:

$17.95

Step-by-step explanation:

d = number of dog pillows

3d + 6.15 = 60

3d = 53.85

d = 17.95

Therefore, each dog pillow cost $17.95.

6 cm.

Explanation:

Since they've given use the area of the triangle, we can use the area formula to find the base of the triangle.

The formula to find the area of a triangle is:

a

=

1

2

h

b

→

(

h = height

,

b= base

)

We know:

a

=

24

h

=

8

So we can substitute them in and find

b

:

24

=

1

2

(

8

)

b

Multiply by sides by 2 and then divide:

24

×

2

=

1

2

(

8

)

b

×

2

48

=

8

b

6

=

b

The base of the triangle is

6 cm.

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WHAT IS THIS

AM CONFUSEDDDD

DO YOU NEED HELP WITH HOEMWORK

The probability that Belle will select two hearts is 2/15.

To find the probability of Belle selecting two hearts, we need to calculate the probability of selecting a heart on the first draw and then, given that the first card was a heart, the probability of selecting another heart on the second draw.

Total number of cards = 3 (star cards) + 4 (hearts cards) + 3 (spade cards) = 10 cards

Probability of selecting a heart on the first draw = 4 (hearts cards) / 10 (total cards) = 2/5

After selecting a heart on the first draw, there will be 9 cards remaining, with 3 hearts cards left.

Probability of selecting a heart on the second draw, given that the first card was a heart = 3 (hearts cards) / 9 (remaining cards) = 1/3

To find the probability of both events happening (selecting two hearts), we multiply the probabilities:

Probability of selecting two hearts = (2/5) x (1/3) = 2/15

Therefore, the probability that Belle will select two hearts is 2/15.

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Given:

Height of the lighthouse = 280 feet

The angle of depression from the top of the lighthouse to a ship = 18°.

To find:

The distance between boat and shore.

Solution:

Draw a diagram by using the given information.

In a right angle triangle,

[tex]\tan \theta=\dfrac{Perpendicular}{Base}[/tex]

In triangle ABC,

[tex]\tan C=\dfrac{AB}{BC}[/tex]

[tex]\tan 18^\circ=\dfrac{280}{BC}[/tex]

[tex]BC=\dfrac{280}{\tan 18^\circ}[/tex]

Using a calculator, we get

[tex]BC=\dfrac{280}{0.3249}[/tex]

[tex]BC=861.80363...[/tex]

[tex]BC\approx 862[/tex]

Therefore, the boat is 862 feet away from shore.