Find the indicated Z score. The graph depicts the standard normal distribution with mean 0 And the standard deviation 1

The indicated Z score is what?

Answer:

He poured 2.5 liters into each container

Step-by-step explanation:

Add 2.75, 1.25, and 3.5 together to get 7.5. Divide 7.5 by 3 and you get 2.5 liters per container.

Using the binomial distribution, we find that:

a) There is a 0.648 = 64.8% probability that there will be at least two hurricanes from which the home will experience no damage before the second hurricane from which the home will experience damage.

b) There is a 0.1728 = 17.28% probability that the home will experience its second damage from the fourth hurricane, given that the home has not experienced two damages from the first two hurricanes.

c) The mode is of 7.5 hurricanes.

For each hurricane, there are only two possible outcomes. Either it causes damage, or it does not. The probability of the home experiencing damage from a hurricane is independent of any other hurricane, which means that the binomial distribution is used to solve this question.

Binomial probability distribution

It gives the probability of exactly x successes on n trials, with p probability.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]  

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The mode of the number of trials needed for q successes is given by:

[tex]M = \frac{q}{p}}[/tex]

In this problem, there is a 0.4 probability of experiencing damage from a hurricane, thus [tex]p = 0.4[/tex].

Item a:

This is the probability of at most 1 damage in 3 hurricanes, which is:

[tex]P(X \leq 1) = P(X = 0) + P(X = 1)[/tex]

With [tex]n = 3[/tex].

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{3,0}.(0.4)^{0}.(0.6)^{3} = 0.216[/tex]

[tex]P(X = 1) = C_{3,1}.(0.4)^{1}.(0.6)^{2} = 0.432[/tex]

Then

[tex]P(X \leq 1) = P(X = 0) + P(X = 1) = 0.216 + 0.432 = 0.648[/tex]

0.648 = 64.8% probability that there will be at least two hurricanes from which the home will experience no damage before the second hurricane from which the home will experience damage.

Item b:

Then

[tex]0.432(0.4) = 0.1728[/tex]

0.1728 = 17.28% probability that the home will experience its second damage from the fourth hurricane, given that the home has not experienced two damages from the first two hurricanes.

Item c:

Then:

[tex]M = \frac{3}{0.4}} = 7.5[/tex]

The mode is of 7.5 hurricanes.

A similar problem is given at https://brainly.com/question/24923631

Step-by-step explanation:

hi I need help please, you can help me?

Answer:

8 x2 + 2x - 91

Step-by-step explanation:

56x2 + 4x -637

Answer:

duh

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

Graph this function on your calculator and you will see an upwards graph, if the range (y), -1 can be mapped on the graph, it is within the range.

Answer:

1(79 x 36)

Step-by-step explanation:

Answer:

( 0, -29)

Step-by-step explanation:

Answer: ( I solve (more like the internet solve) for both x and y.

Step-by-step explanation: To find the x-intercept, substitute in  0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.

Answer:

yes

Step-by-step explanation:

brainliest please

Yes this is correct, i cant really explain since i already did this question on paper but I CAN tell you it is right

Answer:

$8 an hour

Step-by-step explanation:

1.) 92 - 20 = 72

2.) 3 x 8 = 24

3.) 6 x 8 = 48

4. 24 + 48 = 72

         OR

1.) 92 - 20 = 72

2.) 6 + 3 = 9

3.) 72 / 9 = 8

either way to solve gives you the correct answer as shown above. Also if answer is correct please leave ”thanks” heart

Answer:

BM: y = (2/3) x + 16/3 with segment length of 2.77

Step-by-step explanation:

AC formula: m = (6-0)/(0-4) = -3/2

(y-0)/(x-4) = -3/2       y = (-3/2)x + 6   ... (1)

BM slope: BM⊥ AC   m = 2/3

BM formula: (y-4) / (x- -2) = (y-4) / (x+2) = 2/3

y-4 = 2/3 x + 4/3

y = (2/3) x + 16/3   ... (2)    -2≤x≤0.31

intercept of AC and BM (M) from (1) and (2): (-3/2)x + 6 = (2/3) x + 16/3

(13/6) x = 2/3      x = (2/3) / (13/6) = 4/13 ≈ 0.31

y = (2/3) (4/13) + (16/3) = (8/39) + (208/39) = 216/39 = 72/13 ≈ 5.54

M (4/13 , 72/13) or (0.31 , 5.54)

segment BM = √(4/13 - -2)² + (72/13 - 4)² = √1300/169 = 2.77

Answer:

Step-by-step explanation:

It will take 6weeks for you to have$150

Answer:

Martha will walk 1.125 miles.

Step-by-step explanation:

3/4 = 0.75

1.5 * 0.75 = 1.125

Answer:

This is SURD, but the question is not well imputed (isn't well formed) some should be in bracket and left with one outside. check it well

thae answer is something true

Answer: 20

Step-by-step explanation:

so if you divide 40 w 8, it’ll be 5 which means that she reads 5 books in a month. divide 100 w 5 and you’ll get 20

Step-by-step explanation:

2x+3y=7

solution

2-1+3+3

1+6

7 ans

Answer:

WHATS THE QUESTION

Step-by-step explanation:

???rrtrttt r the r

(3p-p)/(2-(-8))= -3

2p/10= -3

2p= -30

p= -15

Answer:

-15

Step-by-step explanation:

Given that a line has a slope of -3 and passes through the points (-8,p) and (2,3p) . And we need to find out the value of p . As we know that the slope is ,

[tex]\longrightarrow\sf slope = y_2-y_1/x_2-x_1[/tex]

Substituting the respective values ,

[tex]\longrightarrow[/tex] -3 = (p - 3p)/(-8-2)

Simplify ,

[tex]\longrightarrow[/tex] -3 = -2p/-10

[tex]\longrightarrow[/tex] -3 = p/5

[tex]\longrightarrow[/tex] p = 5 * -3

[tex]\longrightarrow[/tex] p = -15

Answer:

letter

B. =-5.8

Step-by-step explanation:

hope its help

Temperature

the temperature in Sitka 2 hours after midnight is :

= 29.7°F + (2 × 1.23°F)

= 29.7°F + 2.46°F

= 32.16°F

So, the temperature in Sitka 2 hours after midnight is 32.16°F

#LearnWithEXO

Answer:

Step-by-step explanation:

After 2 hours the temperature is:

Answer:

(-19,15)

Step-by-step explanation:

Answer: the total number of pizza crusts made by Pep's Pizza

equals twice the total number of pizza crusts

made by Dianne's Delicatessen when:

+52+%2B+180n+=+2%2A%28+26+%2B+90n+%29+

+52+%2B+180n+=+52+%2B+180n+

This equation is satisfied for any value of +n+,

so Pepe's always makes twice as much as Dianne's

Step-by-step explanation:

Answer:

Step-by-step explanation:

xy = 864

x + y = 60                     Solve for y in the second equation

y = 60 - x                      

x * (60 - x) = 864          Remove the brackets.

60x - x^2 = 864           Put in order of powers and subtract 864

-x^2 + 60x - 864 =0    Multiply through by -1

x^2 - 60x + 864 = 0

This factors

(x - 36)(x - 24) = 0

Either

x - 36 = 0    in which case

x = 36

or

x - 24 = 0

x = 24

The two numbers are x = 36 and y = 24

of x = 24 and y = 36

44,95,96,97

Step-by-step explanation:

first just do gcf and find your numbers with x

The approximate yards Jason will skate in the next 15 seconds is 135 yards

Given that :

Number of yards skate in 20 seconds = 180 yards

The rate per second cannbe calculated thus :

The distance skate in 15 seconds will be:

Therefore, Jason will skate 135 yards in the next 15 seconds.

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According to the exterior angle theorem, the exterior angle of a triangle is equal to the sum of the two opposite interior angles

The measure of ∠B is 44°

Reason:

The known parameters are;

The point D is on side [tex]\overline{AB}[/tex] of triangle ΔABC

ΔABC ~ ΔACD,

∠A = 48°

BC = CD

Required:

The measure of angle ∠B

Solution:

ΔBDC is an isosceles triangle

Let x, represent ∠B

Therefore, ∠BDC = x, by base angles of an isosceles triangle

Given that  ΔABC ~ ΔACD, and ΔBDC is an isosceles triangle, we have;

∠ADC = 2·x by exterior angle of a triangle theorem

Given ΔABC ~ ΔACD, ∠A = ∠A, and ∠ADC = 2·x, therefore, ∠ACD = x

Which gives;

48° + x + 2·x = 180° sum of angles in a triangle theorem

[tex]x = \dfrac{180^{\circ} - 48^{\circ}}{3} = 44^{\circ}[/tex]

∠B = x = 44°

The measure of ∠B = 44°

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