what is value of this expression ​

Answer:

A) 0.0088

B) 0.2997

C) 5

Step-by-step explanation:

Given: Mean: Ч = 79 minutes

Standard deviation : б = 8 minutes

The formula for z score:

z= x-ц/σ

a) For x=60 minutes

z= 60-79/8 = -2.375

The p-value = P(z< -2.375) = 0.0087745 ≈ 0.0088

b) For x= 75 minutes

z= 75-79/8 = -0.5

The p-value = P(60 < x < 75) = P (-2.375 < z < -0.5)

= P(-0.5)-P(-2.375)= 0.3085 -0.0088 =0.2997

c) For x=90 minutes

z= 90-79/8 = 1.375

The p-value = P (z > 1.375)= 1-P(z < 1.375)

= 1-0.9154342 = 0.0845658

If the number of students in the class=60.

Then, the number of students will be unable to complete the exam in the alotted time = 0.0845658 x 60 = 5.073948 ≈ 5

Answer:

The average value of g is:

[tex]\displaystyle g_{ave}=\frac{1}{6}e^6-\frac{49}{6}\approx 59.071[/tex]

Step-by-step explanation:

The average value of a function is given by the formula:

[tex]\displaystyle f_{ave}=\frac{1}{b-a}\int_a^b f(x)\, dx[/tex]

We want to find the average value of the function:

[tex]g(x)=e^{3x-3}-4x[/tex]

On the interval [1, 3].

So, the average value will be given by:

[tex]g_{ave}=\displaystyle \frac{1}{3-1}\int_1^3 e^{3x-3}-4x\, dx[/tex]

Simplify. We will also split the integral:

[tex]\displaystyle g_{ave}=\frac{1}{2}\left(\int_1^3e^{3x-3}\, dx-\int _1^3 4x\, dx\right)[/tex]

We can use u-substitution for the first integral. Letting u = 3x - 3, we acquire:

[tex]\displaystyle u=3x-3\Rightarrow du = 3\, dx\Rightarrow \frac{1}{3} du=dx[/tex]

We will also change the limits of integration for our first integral. So:

[tex]u(1)=3(1)-3=0\text{ and } u(3)=3(3)-3=6[/tex]

Thus:

[tex]\displaystyle g_{ave}=\frac{1}{2}\left(\frac{1}{3}\int_0^6 e^{u}\, du-\int _1^3 4x\, dx\right)[/tex]

Integrate:

[tex]g_{ave}=\displaystyle \frac{1}{2}\left(\frac{1}{3}e^u\Big|_0^6-2x^2\Big|_1^3\right)[/tex]

Evaluate. So, the average value of g on the interval [1, 3] is:

[tex]\displaystyle g_{ave}=\frac{1}{2}\left(\frac{1}{3}\left[e^6-e^0\right]-\left[2(3)^2-2(1)^2\right]\right)[/tex]

Evaluate:

[tex]\displaystyle\begin{aligned} g_{ave}&=\frac{1}{2}\left(\frac{1}{3}(e^6-1)-16\right)\\&=\frac{1}{2}\left(\frac{1}{3}e^6-\frac{1}{3}-16\right)\\&=\frac{1}{6}e^6-\frac{49}{6}\approx59.071\end{aligned}[/tex]

Answer:

S^2 = sample variance

x_i = the value of the one observation

\bar{x} = the mean value of all observations

n = the number of observations

Step-by-step explanation:

In probability theory and statistics, variance is the expectation of the squared deviation of a random variable from its mean. In other words, it measures how far a set of numbers is spread out from their average value.

hope i helped:)

Answer:

top right one

Step-by-step explanation:

cuz verticle angles are across each other

Better not be a scam :)

Answer:

the probability is 0.0378

Step-by-step explanation:

 Given that;

cumulative distribution function: F (x ) = 1 - ( 1 / ( x + 1)³ )

probability the person's reaction time will be between 0.9 and 1.1 seconds will be;

p( 0.9 < x < 0.9 ) = F( 1.1 ) - F( 0.9 )

p( 0.9 < x < 0.9 ) = [1 - ( 1 / ( 1.1 + 1)³ )] - [1 - ( 1 / ( 0.9 + 1)³ )]

= [1 - ( 1 / ( 2.1)³ )] - [1 - ( 1 / ( 1.9)³ )]

= [1 - 0.107979] - [1 - 0.14579]

= 0.8920 - 0.8542

= 0.0378

Therefore, the probability is 0.0378

Answer:

D - 1,078

Step-by-step explanation:

if you take 26.96 x 40, you will get 1,078

Answer:

5<x<21

Step-by-step explanation:

when any two sides are added together they have to be greater than either side... to find the range

add the two sides together to get the upper end of the range 8+13=21

and to get the lower end of the range subtract 13-8=5

so the range is 5<x<21

the third side CAN NOT be 5 or 21, must be between them

Answer:

-6x+4

Step-by-step explanation:

y-intercept is at 4 which is b.

It goes down 6 units as it decreases from 4 to -2.

Since it decreases 6 is negative

therefore -6x+4

It is not possible for a cross section of a cylinder to have a triangular shape

Cross section is the non-empty intersection of a solid body in three-dimensional space with a plane, or the analog in higher-dimensional spaces

A cylinder has traditionally been a three-dimensional solid, one of the most basic of curvilinear geometric shapes

A triangle is a shape formed when three straight lines meet

Cross section of the cylinder is depends on how we cut .The cross-section of a cylinder may be either circle, rectangle, or oval

Hence, the cross section of of a cylinder can not be a triangular shape

Learn more about cross section, cylinder and triangular shape here

https://brainly.com/question/23902567

#SPJ2

Answer:

triangle and cylinder is your answer

Answer:

The 24 bottles for 3$

Step-by-step explanation:

12 bottles for 2$ x 2

= 24 bottles for 4$

This means the 24 bottles for 3$ is the better price per bottle.

Answer:

d

Step-by-step explanation:

Answer: D

Step-by-step explanation:

The probability of picking a brown pencil greater than the probability as NOT picking a brown pencil because there more brown pencils than purple so there is a higher chance you will get a brown than NOT get a brown.

I = a + (n - 1)d [Given formula]

Find d when I = 10, a = 2, n = 5

I = a + (n - 1)d [Given]

Putting the value of I = 10, a = 2, n = 5 we get,

10 = 2 + (5 - 1)d

10 = 2 + 4d

10 - 2 = 4d

8 = 4d

d = [tex] \frac{8}{4} [/tex]

d = 2

Answer:

A sample size of 385 is needed.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

You feel that a reasonable estimate of the standard deviation is 10.0 hours.

This means that [tex]\sigma = 10[/tex]

What sample size is needed so that the expected margin of error of your estimate is not larger than one hour for 95% confidence?

A sample size of n is needed. n is found when M = 1. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]1 = 1.96\frac{10}{\sqrt{n}}[/tex]

[tex]\sqrt{n} = 1.96*10[/tex]

[tex](\sqrt{n})^2 = (1.96*10)^2[/tex]

[tex]n = 384.16[/tex]

Rounding up:

A sample size of 385 is needed.

Answer:

y = [tex]-2^x[/tex]

Step-by-step explanation:

If the equation of a function is in the form of y = h(x)

When the graph of this function is reflected across x-axis,

Transformed function will be,

y = -h(x)

Further reflected across y-axis, then the transformed function will be,

y = -h(-x)

By this rule,

Given equation when reflected across x-axis,

y = [tex]-(\frac{1}{2})^{x}[/tex]

Further reflected across y-axis,

y = [tex]-(\frac{1}{2})^{-x}[/tex]

y = [tex]-(2^{-1})^x[/tex]

y = [tex]-2^x[/tex]

Answer:

yo bro idek bro, gimme brainliest

Step-by-step explanation:

Answer:

y=10.4

Step-by-step explanation:

If you mean Y instead of x then the answer is 10.4

3.8+y=14.2

-3.8   -3.8

y=10.4

Answer:

y/x=10.4

Step-by-step explanation:

3.8+y=14.2 Subtract 3.8 from both sides

y=10.4

Answer:

$9.03

Step-by-step explanation:

Using x for pay rate

63.24=7x Divide both sides by 7

x=9.03

Answer:

m = -4/5

Step-by-step explanation:

We need to find the slope of the line that passes through the points (3, 1) and (-2,5).

The slope of the line is given by :

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Put x₁ = 3, x₂ = -2, y₁ = 1 and y₂ = 5

Put all the values,

[tex]m=\dfrac{5-1}{-2-3}\\\\=\dfrac{4}{-5}\\\\=\dfrac{-4}{5}[/tex]

So, the correct option is (b).

9514 1404 393

Answer:

  (x, y) = (2, -2)

Step-by-step explanation:

We would normally choose to use substitution when x or y could be easily solved-for without having fractions involved. That is not the case here. However, we observe that the term 3y appears in both equations, so we can substitute for "3y" instead of "y".

From the second equation, ...

  3y = 5x -16

Substituting into the first equation, ...

  2x +(5x -16) = -2

  7x = 14 . . . . . . . . . add 16

  x = 2 . . . . . . . . . .  divide by 7

Using our equation for y, we get ...

  3y = 5(2) -16 = -6

  y = -2 . . . . . . . . . divide by 3

The solution is (x, y) = (2, -2).

Answer:

0, negative infinity

Answer:

A,D,E, and F

Step-by-step explanation:

They all equal -1/4.

Answer:

[tex]210^\circ = \frac{7}{6}\pi[/tex]

Step-by-step explanation:

Given

[tex]\theta = 210^\circ[/tex]

Required

Convert to radians

To convert to radians, we make use of:

[tex]Radians = \theta * \frac{\pi}{180^\circ}[/tex]

Substitute: [tex]\theta = 210^\circ[/tex]

[tex]Radians = 210^\circ* \frac{\pi}{180^\circ}[/tex]

[tex]Radians = \frac{210^\circ* \pi}{180^\circ}[/tex]

Simplify fraction

[tex]Radians = \frac{7\pi}{6}[/tex]

[tex]Radians = \frac{7}{6}\pi[/tex]

Hence:

[tex]210^\circ = \frac{7}{6}\pi[/tex]

Answer:

Can't get one(Read explanation)

Step-by-step explanation:

What you do to find out if its a function is see if any of the dots are in the same x value. If they are, its not a function. If they aren't it is a function.

Answer:

the monthly payment is $636.02

Step-by-step explanation:

The calculation of the monthly amount deposited i.e. PMT is shown below:

GIven data

NPER = 15 × 12 months = 180

RATE = 5% ÷ 12 = 0.4167%

PV = $0

FV = $170,000

based on the above information

The formula is given below:

= PMT(RATE;NPER;PV;FV;TYPE)

After applying the given formula, the monthly payment is $636.02

Answer:

Volume: 528 ft^3

Surface Area: 444.72

Step-by-step explanation:

For the surface area, I'm not quite sure, but the volume is correct.

Hope this helped! :)

( ﾟдﾟ)つ Bye