Find the area under the standard normal curve that lies outside the interval between z = -2.16 and z = 2.14​

Answers

Answer 1

Answer:

The area is 0.0316

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X

Find the area under the standard normal curve that lies outside the interval between z = -2.16 and z = 2.14

Below z = -2.16 or Above z = 2.14

Below z = -2.16

z = -2.16 has a pvalue of 0.0154, which means that this area is 0.0154

Above z = 2.14

z = 2.14 has a pvalue of 0.9838, which means that this area is 1 - 0.9838 = 0.0162

Total:

0.0154 + 0.0162 = 0.0316

The area is 0.0316


Related Questions

Are 12/102 and 18/153 equivalent ratios?

Answers

Answer:

there are 2 ways:

[tex]\frac{12}{102}[/tex] ?= [tex]\frac{18}{153}[/tex]

1) try to simplify

[tex]\frac{12}{102}[/tex] (divide the numerator and denominator by 6) ?= [tex]\frac{18}{153}[/tex] (divide the numerator and denominator by 9)

2/17 = 2/17 so yes they are equivalent

2) use cross products

102x18 ?= 12x153

 1836 = 1836 so yes they are equivalent

   

An employee at a store makes $6 an hour. If she has made $237.38 in a week, how
many hours, did she work that week? Write an equation showing how to solve for how
many hours she worked using "h"as the variable.

Answers

Answer:40 hours

Step-by-step explanation:divide 237.36 by 6 and you will get 39.5633

so basically what you're going to do is round it up and your answer will be 40

Evaluate a--3° for Q = -3 and b = -3.

Answers

Answer:

Step-by-step explanation:

1. (a + b)2 = a2 + 2ab + b2; a2 + b2 = (a + b)2 − 2ab

2. (a − b)2 = a2 − 2ab + b2; a2 + b2 = (a − b)2 + 2ab

3. (a + b + c)2 = a2 + b2 + c2 + 2(ab + bc + ca)

4. (a + b)3 = a3 + b3 + 3ab(a + b); a3 + b3 = (a + b)3 − 3ab(a + b)

5. (a − b)3 = a3 − b3 − 3ab(a − b); a3 − b3 = (a − b)3 + 3ab(a − b)

6. a2 − b2 = (a + b)(a − b)

7. a3 − b3 = (a − b)(a2 + ab + b2)

8. a3 + b3 = (a + b)(a2 − ab + b2)

9. an − bn = (a − b)(an−1 + an−2b + an−3b2 + ··· + bn−1)

10. an = a.a.a . . . n times

11. am.an = am+n

12. am

an = am−n if m>n

= 1 if m = n

= 1

an−m if m<n; a ∈ R, a 6= 0

13. (am)n = amn = (an)m

14. (ab)n = an.bn

15. a

b

n

= an

bn

16. a0 = 1 where a ∈ R, a 6= 0

17. a−n = 1

an , an = 1

a−n

18. ap/q = √q ap

19. If am = an and a 6= ±1, a 6= 0 then m = n

20. If an = bn where n 6= 0, then a = ±b

21. If √x, √y are quadratic surds and if a + √x = √y, then a = 0 and x = y

22. If √x, √y are quadratic surds and if a+ √x = b+ √y then a = b and x = y

23. If a, m, n are positive real numbers and a 6= 1, then loga mn = loga m+loga n

24. If a, m, n are positive real numbers, a 6= 1, then loga

m

n

= loga m−loga n

25. If a and m are positive real numbers, a 6= 1 then loga mn = n loga m

26. If a, b and k are positive real numbers, b 6= 1, k 6= 1, then logb a = logk a

logk b

27. logb a = 1

loga b where a, b are positive real numbers, a 6= 1, b 6= 1

28. if a, m, n are positive real numbers, a 6= 1 and if loga m = loga n, then

m = n

Is the formula for what?

A. Circle
B. Cone
C. Cylinder
D. Sphere

Answers

Answer: sphere

Step-by-step explanation:

Answer:

Sphere

Step-by-step explanation:

The formula given is the formula for volume of a sphere, where 'r' is the radius of the sphere.

The formula for volume of a sphere is the only formula with '4/3' in it, compared to the other option choices given.

Hope this helps.

Elena finds that the area of a house on a scale drawing is 25 square inches the actual area of the house is 2025 ft what is the scale of the drawing​

Answers

Answer:

81 is the scale of drawing.

Step-by-step explanation:

Area of the house in drawing = A =

Let the factor by which scaling is present in the drawing be s.

Area of the house in reality = A' =

y-2=-5(x-2) slope intercept form

Answers

Answer:

y = -5x + 12

Step-by-step explanation:

slope intercept form is where you simplify it and get the y by itself, so:

[tex]y-2 = -5(x-2)\\y-2 = -5x+10\\y = -5x+ 12[/tex]

What is the equation of the line in slope intercept form?

Answers

Answer:

y=x-4

Step-by-step explanation:

Olivia, the food stand manager, spends $210 per week on vegetable sandwich ingredients. She wants to earn $1870 per week.
Write an equation that can be used to determine x, the number of vegetable sandwiches Olivia needs to sell in order to earn $1870 per week.

Answers

Answer:

187

Step-by-step explanation:

1870/210=187

Also / means divide

How would you figure out how many samples of cookie dough can be given
out?
At the Fairview mall, a worker at an edible cookie dough store has
3 cups of cookie dough to give to customers for samples. The
worker places 1 cups of cookie dough in each sample. How many
samples can the worker give out if all the cookie dough is used?

Answers

Well, if they only have 3 cups total, and 1 cup is given to each customer, they can only give out 3 samples.

3 divided by 1 = 3

Brendan's mom bought him a new bes frame and wants to figure put the area.If Brendan's new bed frame is 5 1/4 feet long and 4 feet wide,What is the area of the bed frame?

Answers

The answer is 21 ft.

Hope this helps.

P(8,-3) T(x,y) = (x-4, y+7)
P'(?,?)

Answers

Answer:

P'(4,4)

Step-by-step explanation:

P(8,-3) T(x,y) = (x-4, y+7)

P'(8-4,-3+7)=P'(4,4)

2y^3-18y^2+9y-81
Factor the polynomial completely

Answers

Answer:

(y-9)(2y^2 +9)

write an integer for each

1- a deposit for $40
2- a loss of 25 pounds

please this assignment locks soon and it’s already over due,

Answers

Answer:

1. 40

2. -25

Step-by-step explanation:

I'm sure this is the answer

Helpppp PLZ 20 POINTS!!!!! More then one answer

Answers

Answer:

The first and last one!!

Step-by-step explanation:

Was it correct?? Hope this helps!!(¬_¬ )

Answer

2(2m + 6) .

Hope it helps.

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Sketch the region, the solid, and a typical disk or washer. y2=x,x=2yy 2 =x,x=2y; about the y-axis

Answers

Answer:

Step-by-step explanation:

From the first image attached below, we will see the sketch of the curve x = y² & x = 2y

In the picture connected underneath, the concealed locale(shaded region) is bounded by the given curves. Now, we discover the marks of the crossing point of the curves. These curves will cross, when:

[tex]y^2 =2 y \\ \\ or y^2 -2y = 0 \\ \\ y(y-2) = 0 \\ \\ y = 0 \ \ or \ \ y = 2[/tex]

Thus, the shaded region fall within the interval 0 ≤ y ≤ 2

Now, from the subsequent picture appended we sketch the solid acquired by turning the concealed region about the y-axis.

For the cross-sectional area of the washer:

[tex]A (y) = \pi (outer \ radius)^2 - \pi ( inner \ radius )^2 \\ \\ A(y) = \pi (2y^)2- \pi (y^)^2 \\ \\ A(y) = 4 \pi y^2 - \pi y^4 \\ \\ A(y) = \pi( 4 y^2 -y^4)[/tex]

Finally, the volume of (solid) is:

[tex]V = \int^2_0 A(y) \ dy \\ \\ V = \int^2_0 \pi (4y^2 -y^4) \ dy \\ \\ V = \pi \int^2_0 (4y^2 -y^4) \ dy \\ \\ V = \pi \Big[\dfrac{4}{3}y^3 - \dfrac{y^5}{5} \big ] ^2_0 \\ \\ V = \pi \Big [ \dfrac{4}{3}(2)^3-\dfrac{2^3}{5} \Big ] \\ \\ V = \dfrac{64}{15}\pi \\ \\ V = (4.27 ) \pi[/tex]

Evaluate the expression: 8 ⋅ (1/2)^2

Answers

Answer:

8 × (1/2)²

8 × 0.25

2 Answer!

Hope this helps, thank you :) !!

Answer:

Step-by-step explanation:

The answer is : 2

Simplify

I added image with explation! Hope this helps!

5m=105 what is m in the equation

Answers

Answer:

m = 21

Step-by-step explanation:

5m = 105

5m ÷ 5 = 105 ÷ 5

m = 21

6. 1, 8, 5, 4, 1, 8, 5, 4
Mean
Median
Mode

Answers

Answer:

Mean 16.75

Median  15.5

Mode 13

Step-by-step explanation:

This is what I got .____.

Is (1,-4) solution of the graphed inequality ?

Answers

Answer:

Yes.

Step-by-step explanation:

The answer is yes it is

I am bad at geometry please help

Answers

Answer:

3.9 in^2

Step-by-step explanation:

Split it up into a top rectangle and a bottom rectangle. Find the area of the top rectangle and subtract the combined area of the two quarter circles.

The area of the rectangle is 6  * 3 = 18. The area of the two quarter circles is the same as the area of one semicircle, and since the radius is 3 you can do:

3^2 * pi / 2 = 9pi/2. As a decimal this would be: 14.14.

Then, you can do rectangle - circle = 18 - 14.14 = 3.86. Rounded to the nearest tenth, this is 3.9

Lilya bought 3 donuts for $2.97. At this rate, how much would 10 donuts cost?

Answers

29.70 because you multiply 10 x 297 and you get 2970 just input your decimal which is 29.70

Answer:

$9.90

Step-by-step explanation:

$2.97 divided by 3 equal 0.99 cents

0.99 multiplied by 10 equal 9.90

To eliminate the y terms and solve for x in the fewest steps, by which constants should the equation need multiplied by before adding the equations together?

Answers

A. Multiplied by 2 for the first then for the second multiply by three.

Explanation: the equations already have opposite signs for y so reversing the signs would be counterproductive. (Eliminates B and D) and the easiest way is to get the numbers before the Y variable to be the same. The top by 2 and bottom by 3 would do that, leaving only A.

Find the slope of line with the given points (6, - 4)(1, 5)

Answers

Answer:

-9/5 is the slope

Step-by-step explanation:

5-(-4)=9

1-6=-5

2
Which of the following graphs represents a direct variation?
А
С
2
-4
-2
2
4
-2
2
-2
4
B
D
y
2
2
-2
2
4
2
4
-2
-2

Answers

Answer:

C & D

Step-by-step explanation:

Which sum represents the partial fraction decomposition of 8x^ 4 + 3x^3- 115x^2- 39x+200/ 3x (x^2-10)^2

Answers

Answer:It's the last option again. You have 1 linear factor (3x) and 2 copies of a quadratic factor (x² + 10), and the partial fractions with the quadratic factor need to have a linear polynomial in the numerator.

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

edge 2021

what is the answer to 3/4 x 5/6

Answers

Answer:

[tex] \frac{3}{4} \times \frac{5}{6} [/tex]

[tex] \frac{3 \times 5}{4 \times 6} [/tex]

[tex] \frac{15}{24} [/tex]

[tex] \frac{5}{8} [/tex]

Answer:

5/8

Step-by-step explanation:

Sorry for the messy handwriting.

Hope this helps! Have a great day!

18 less than the quotient of a number and -5 is no less than 31

Answers

Answer:

1

Hope this helps!!!!

1 is the answer I think

If you know the diameter of a given circle is 12, what is the area of the circle?

Answers

Answer:

The area is 113.1

Step-by-step explanation:

Hope this helped Mark BRAINLEST!!!

Which of the following is a solution to the inequality below?

5 < q/19

Answers

Answer:

q = 114

Step-by-step explanation:

q/19 > 5

q > 19 * 5 = 95

==> q = 114 works

Answer:

rrerer

Step-by-step explanation:erewqwdqwdqd noo hlp me

Al abrir su alcancía Beatriz encontró que entre monedas de 5, 10 y 25 centavos completaba $ 9.50. Encontró igualmente que el número de monedas de 10 centavos era el triple de las de 25 centavos y que las de 5 centavos era el doble de las de 10 centavos. ¿Cuántas monedas de cada denominación había en la alcancía?}

Answers

Answer:

67 monedas de 5, 34 de 10 y 11 de 25.

Step-by-step explanation:

Representemos el primer enunciado de manera algebraica:

[tex]5x+10y+25z =950[/tex]  (1)

Donde:

x es el numero de monedas de 5y es el numero de monedas de 10 z es el numero de monedas de 25

Ahora, el número de monedas de 10 centavos era el triple de las de 25 centavos y que las de 5 centavos era el doble de las de 10 centavos, se puede representar como:

[tex]y=3z[/tex]  (2)              

[tex]x=2y[/tex]  (3)    

     

Combinado las eacuaciones (1), (2) y (3) tenemos:

[tex]5(2y)+10y+25(\frac{y}{3}) =950[/tex]

[tex]10y+10y+\frac{25}{3}y =950[/tex]

[tex]\frac{85}{3}y =950[/tex]  

[tex]y =34[/tex]

Por lo tanto el valor de x y z seran:

[tex]x=2(34)[/tex]          

[tex]x=68[/tex]          

[tex]z=11[/tex]    

Si ponemos cada valor en la equacion (1), tenemos:

[tex]5(68)+10(34)+25(11) =955[/tex]

Como el resultado da 955 hay un excedente de 5 pesos, asi que finalmente tendremos.

x = 67

y = 34

z = 11  

Espero te haya serrvido!

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