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Answer:

This probability is the p-value of Z given [tex]Z = \frac{X - \mu}{\sigma}[/tex], considering X as less than X seconds, [tex]\mu[/tex] as the mean and [tex]\sigma[/tex] as the standard deviation.

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 z-score 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 p-value, we get the probability that the value of the measure is greater than X.

In this question:

Mean [tex]\mu[/tex], standard deviation [tex]\sigma[/tex].

Find the probability that a randomly selected high school student can run the mile in less than X seconds.

This probability is the p-value of Z given [tex]Z = \frac{X - \mu}{\sigma}[/tex], considering X as less than X seconds, [tex]\mu[/tex] as the mean and [tex]\sigma[/tex] as the standard deviation.

Answer photo math download it

Step-by-step explanation:

Answer:

I believe the answer is 1.36

Answer:

x = 11.85

Step-by-step explanation:

[tex]67 - 2x + \frac{89}{2} + 7 -8x = 0\\\\67 + \frac{89}{2}+7 = 8x + 2x\\\\\frac{134 + 89 +14}{2} = 10x\\\\10x = 118.5\\\\x = 11.85[/tex]

Answer:

[tex]x = 11 \frac{17}{20}[/tex] or [tex]\frac{237}{20}[/tex]

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

sin(x+pi)=-sin(x)=sin(-x)=cos(pi/2)

cos (x+pi)=-cos(x)

So according to the question:

cos(pi/2 +x)=cos(x)

Using the solution of cos, obtain:

(pi/2) + x = 2pi +- (x)

case#1: (pi/2) + x = 2pi + (x)

But here, the value of x is canceled, just

case#2: (pi/2) + x = 2pi - (x)

answer------------>>>>>>>>> x=pi-pi/4

Answer:

1

Step-by-step explanation:

Any number to the 0 power is equal to 1.

Hope that this helps!

Answer:

1 is correct

Any number that is raised to the power of 0 is 1, and any number that’s raised to the power of 1 is itself

Answer:

Not a right triangle

Obtuse isosceles triangle.

Sides: J = 3.606   K = 6   L = 3.606

Step-by-step explanation:

hope helps you

have a nice day

Answer:

10x22x8

Step-by-step explanation:

1760 is the answer

in 12 key 5 black keys are appearing so consider x key will appear in 120 keys

120/x = 12/5

solving further,

x= 50

Answer - If the pattern shown continues, 50 black keys appear on a pipe organ with a total of 120 keys!

Answer:

12 kg, 1200 mm, 1200 ml (twice), 12 m, and 120 mm

Answer:

12,000 is 12

120 is 120

1.2 L is 1200

1200 is 120

0.12 is 12

Answer:

89.38

Step-by-step explanation:

65 times 0.125 = 8.125

65 times 0.25 = 16.25

16.25 plus 8.125 plus 65 = 89.38 dollars

the answer is 0.62

62/100 = 0.62

Answer:

0.62

Step-by-step explanation:

the 62 is the number you're mainly working with and the 100 represents the place value! so the 100 means you need to place the top number in the hundredths place (0.62)

Hope this helps! Good luck with your math work!

Answer:

60 degrees

Step-by-step explanation:

Answer:

y = 5.66388 feet, (round that to whatever you need to round to)

Step-by-step explanation:

cos (51) = y/9

cos(51)*9=

y = 5.66388 feet

Answer:

0

Step-by-step explanation:

Given that f(x) = 1/2x + 4

Let y = f(x)

y = 1/2 x + 4

Replace y with x

x = 1/2 y + 4

Make y the subject of the formula

1/2y = x - 4

y = 2(x-4)

If x = 3

y = 2(4-4)

y = 2(0)

y = 0

Hence ƒ -1(4) is 0

Answer:

A(-3,4) B(1,-8)

y-y1/x-x1 =y2-y1/x2-x1

y-4/x--3 = -8-4/1--3

y-4/x+3 = -12/1+3

y-4/x+3 =-12/4

y-4/x+3 = -3

y-4 = -3(x+3)

y-4=-3x-9

y+3x +9-4=

y+3x+5=0

Answer:

y = -3x - 5

Step-by-step explanation:

-3, 4 and 1, -8

1 - -3 = 4

-8 - 4 = -12

[tex]\frac{-12}{4}[/tex] = [tex]\frac{-3}{1}[/tex] = -3

gradient/slope = -3

now substituting in the point -3, 4 to find the y intercept:

4= -3 x -3 + c

4 = 9 + c

-5 = c

y intercept = -5

equation is y = -3x - 5

Answer:

The test statistic is t = 3.36.

Step-by-step explanation:

You're testing the claim that the mean difference is greater than 0.7.

At the null hypothesis, we test if it is 0.7 or less, that is:

[tex]H_0: \mu \leq 0.7[/tex]

At the alternate hypothesis, we test if it is greater than 0.7, that is:

[tex]H_1: \mu > 0.7[/tex]

The test statistic is:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation and n is the size of the sample.

0.7 is tested at the null hypothesis:

This means that [tex]\mu = 0.7[/tex]

Survey of 35 people. From the sample, the mean difference was 0.95, with a standard deviation of 0.44.

This means that [tex]n = 35, X = 0.95, s = 0.44[/tex]

Calculate the test statistic

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{0.95 - 0.7}{\frac{0.44}{\sqrt{35}}}[/tex]

[tex]t = 3.36[/tex]

The test statistic is t = 3.36.

Answer:

32.5

Step-by-step explanation:

I I divided ot then added it together

Answer:

288 inches = 8 yards

Step-by-step explanation:

Answer:

[tex]6 . \: 8 \: yards \: = \: 288 \: inches[/tex]

[tex]8. \: 18 \: feets \: = \: 216 \: inches[/tex]

[tex]10. \: \frac{1}{3} \: yards \: = 12 \: inches[/tex]

Step-by-step explanation:

6. 1 yard = 36 inches

8 yards = 36 × 8

= 288

8. 1 feet = 12 inches

18 feets = 12 × 18

= 216 inches

10. 1/3 into decimal = 0.33333333333

1/3 yards = 0.33333333333 × 36

= 12 inches

Given:

The function is:

[tex]y=\sec^{-1}(x)[/tex]

To find:

The range of the given function.

Solution:

We have,

[tex]y=\sec^{-1}(x)[/tex]

The range of secant inverse function is:

[tex]Range=\{y|0\leq y\leq \pi , y\neq \dfrac{\pi}{2}\}[/tex]

The range of the given function in interval notation is:

[tex]Range=\left[0,\dfrac{\pi}{2}\right)\text{ and }\left( \dfrac{\pi}{2}, \pi\right ][/tex]

Therefore, the correct option is C.

Answer:

Mr. Reid will be able to fit 81 boxes that each has a volume of 1 cubic foot in his bin, since it has a capacity of 84 cubic feet.

Step-by-step explanation:

Given that Mr. Reid's storage bin is 4 feet long, 3 feet wide, and 7 feet tall, to determine if he can fit 81 boxes that each has a volume of 1 cubic foot in his bin, the following calculation, knowing that the volume of a rectangular prism arises from multiplying its height by its width and its length:

4 x 3 x 7 = X

12 x 7 = X

84 = X

84 - (81 x 1) = X

84 - 81 = X

3 = X

Therefore, Mr. Reid will be able to fit 81 boxes that each has a volume of 1 cubic foot in his bin, since it has a capacity of 84 cubic feet.

Answer:

x=36

Step-by-step explanation:

because 4x36=144

Answer:

4x = 144

4 • 36 = 144

The answer to the equation is 36

Answer: The definition of a complementary angle is "Either of two angles whose sum is 90°." Thus the complementary angle for 4 is angle 5.

P.S. if you feel this answer is satisfactory I would appreciate it if you would mark it brainiest.

Answer:

1 - b

2 - a

3 - c

Step-by-step explanation:

Answer:

P(A n B) = 0

Step-by-step explanation:

Given

[tex]A \to[/tex] Traces of TNT detected

[tex]B \to[/tex] No traces of TNT

Required

Probability of false positive

From the question, we understand that A and B must occur to get a positive and the result is 0.

The probability of A and B is represented as: P(A n B)

Include the result (0), we get:

P(A n B) = 0

Answer:

He needs 15 shirts

Step-by-step explanation:

We can use a ratio to solve

4 pants             6 pants

--------------- = -------------

10 shirts            x shirts

Using cross products

4x = 10 *6

4x = 60

Divide each side by 4

4x/4 = 60/4

x = 15

He needs 15 shirts