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3 years ago

Enter a fraction equivalent to 0.4. Use only whole numbers for numerators and denominators.

Mathematics

1 answer:

77julia77 [94]3 years ago

6 0

Answer:

2/5

Step-by-step explanation

!s the answer.

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Y is a random variable that is distributed N(-16, 1.21). Find k such that Prob(-15.043 < Y ≤ k) = 0.1546. (Round your answer

IgorLugansk [536]

Transform Y to Z, which is distributed N(0, 1), using the formula

Y = µ + σZ

where µ = -16 and σ = 1.21.

Pr[-15.043 < Y ≤ k] = 0.1546

Pr[(-15.043 + 16)/1.21 < (Y + 16)/1.21 ≤ (k + 16)/1.21] = 0.1546

Pr[0.791 < Z ≤ (k + 16)/1.21] ≈ 0.1546

Pr[Z ≤ (k + 16)/1.21] - Pr[Z < 0.791] = 0.1546

Pr[Z ≤ (k + 16)/1.21] = 0.1546 + Pr[Z < 0.791]

Pr[Z ≤ (k + 16)/1.21] ≈ 0.1546 + 0.786

Pr[Z ≤ (k + 16)/1.21] ≈ 0.940

Take the inverse CDF of both sides (Φ(x) denotes the CDF itself):

(k + 16)/1.21 ≈ Φ⁻¹ (0.940) ≈ 1.556

Solve for k :

k + 16 = 1.21 • 1.556

k ≈ -14.118

8 0

3 years ago

Find x in this proportion. x/3 = x+2/5 x =

pickupchik [31]

$x = 3 \\ solution \\ \frac{x}{3} = \frac{x + 2}{5} \\ or \: 5x = 3(x + 2)(cross \: multiplication) \\ or \: 5x = 3x + 6 \\or \: 5x - 3x = 6 \\ or \: 2x = 6 \\ or \: x = \frac{6}{2} \\ x = 3 \\ hope \: it \: helps$

8 0

3 years ago

An angle in a triangle measures 138 °. The other two angles are congruent. Enter and solve an equation to find the x measure of

Juli2301 [7.4K]

Hey there! I"m happy to help!

The interior angles of a triangle add up to 180. We have 2 angles that have a value of x, so 2x+138=180.

We subtract 138 from both sides.

2x=42

We divide both sides by 2

x=21.

Have a wonderful day! :D

5 0

4 years ago

A car license plate is made up of 7 letters or numbers, where the numbers are whole numbers 0 through 9.

Simora [160]

Answer:

0.28

Step-by-step explanation:

To know the probability we first need to know the total number of choices for each character in the license plate. Since there are a total of 10 possible numbers (0-9) and 26 letters in the English Alphabet. Then this means that each character has a total of 36 possible choices. Out of these 36 only 10 are numbers, therefore the probability of the first character being a number is

$\frac{10}{36}$ or 0.2777

If we rounded the decimal to the nearest hundredth it would be 0.28

4 0

3 years ago

Tim bought 3 hat for 120/-. how much can he buy from 180/- ASAP plz

Leni [432]

Answer: 16

Step-by-step explanation:

5 0

3 years ago