Determine the slope of the line passing through the points (5, 8) and (-3, 10).

1. -1/2
2. -1/4
3. 1/2
4. -4

Answer:

L-8=?

Step-by-step explanation:

Answer:

(a)  0.2033

(b)  0.0188

(c)  0.0004

(d)  0.095

Step-by-step explanation:

(a) the probability that a score at random is greater than 110 is obtained with a normal distribution of mean 100 and standard deviation 12 can be estimated using the z-table for Z = (110 -  100)/12 = 0.83

So P (X > 110) = P (Z > 0.83) = 0.2033

(b) Probability that a sample of 25 scores will have a mean greater than 105:

we use a standard distribution with the same mean (100) but the standard distribution reduced by a factor of [tex]\sqrt{25} = 5[/tex]. That is a standard deviation of 12/5 = 2.4. which gives a Z-value of (105-100) / 2.4 = 2.08

P (X> 105) = P (Z > 2.08) = 0.0188

(c) Probability that a sample of 64 scores will have a mean greater than 105:

we use a standard distribution with the same mean (100) but the standard deviation reduced by a factor of [tex]\sqrt{64} = 8[/tex]. That is a standard deviation of 12/8 = 1.5. which gives a Z-value of (105-100) / 1.5 = 3.33

P (X> 105) = P (Z > 3.33) = 0.0004

(d) the probability that the mean of a sample of 16 scores will be either less than 95 or greater than 105

This will be the addition of the two probabilities. We use a standard distribution with the same mean (100) but the standard distribution reduced by a factor of [tex]\sqrt{16} = 4[/tex]. That is a standard deviation of 12/4 = 3. which gives us two different Z values to study:

(105-100) / 3 = 1.67

and for X= 95 ==> Z = (95 - 100)/3 = - 1.67

P (X > 105) = P (Z > 1.67) = 0.0475

P (X < 95) = P (Z < -1.67) = 0.0475

which add up to: 0.095.

Using the normal distribution and the central limit theorem, it is found that there is a:

a) 0.2033 = 20.33% probability that a single score drawn at random will be greater than 110.

b) 0.0188 = 1.88% probability that a sample of 25 scores will have a mean greater than 105.

c) 0.0004 = 0.04% probability that a sample of 64 scores will have a mean greater than 105.

d) 0.095 = 9.5% probability that the mean of a sample of 16 scores will be either less than 95 or greater than 105.

In a normal distribution 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]

In this problem:

Item a:

This probability is 1 subtracted by the p-value of Z when X = 110, hence:

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

[tex]Z = \frac{110 - 100}{12}[/tex]

[tex]Z = 0.83[/tex]

[tex]Z = 0.83[/tex] has a p-value of 0.7967.

1 - 0.7967 = 0.2033

0.2033 = 20.33% probability that a single score drawn at random will be greater than 110.

Item b:

Sample of 25, hence [tex]n = 25, s = \frac{12}{\sqrt{25}} = 2.4[/tex].

This probability is 1 subtracted by the p-value of Z when X = 105, hence:

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

By the Central Limit Theorem

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

[tex]Z = \frac{105 - 100}{2.4}[/tex]

[tex]Z = 2.08[/tex]

[tex]Z = 2.08[/tex] has a p-value of 0.9812.

1 - 0.9812 = 0.0188

0.0188 = 1.88% probability that a sample of 25 scores will have a mean greater than 105.

Item c:

Sample of 64, hence [tex]n = 64, s = \frac{12}{\sqrt{64}} = 1.5[/tex].

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

[tex]Z = \frac{105 - 100}{1.5}[/tex]

[tex]Z = 3.33[/tex]

[tex]Z = 3.33[/tex] has a p-value of 0.9996.

1 - 0.9996 = 0.0004

0.0004 = 0.04% probability that a sample of 64 scores will have a mean greater than 105.

Item d:

Sample of 16, hence [tex]n = 16, s = \frac{12}{\sqrt{16}} = 3[/tex].

Both 105 and 95 are the same distance of the mean, so we find one probability, and multiply by 2.

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

[tex]Z = \frac{105 - 100}{3}[/tex]

[tex]Z = 1.67[/tex]

[tex]Z = 1.67[/tex] has a p-value of 0.9525.

1 - 0.9525 = 0.0475.

2 x 0.0475 = 0.095

0.095 = 9.5% probability that the mean of a sample of 16 scores will be either less than 95 or greater than 105.

A similar problem is given at https://brainly.com/question/24663213

Answer:

13

Step-by-step explanation:

First, double the first equation.

If 3x+7=5, then 6x+14=10

Since they are asking for 6x+17, the answer is 10+3=13

Hope I helped!

Answer:

I don’t know how to do the explanation but the answer is 15 min waking and 45 running. I got it right on the test

Step-by-step explanation:

Answer:

i think the answer is 7

Answer: The answer is f= –31 1/3.

Step-by-step explanation: To solve for f, you’ll need to simplify the both sides of the equation, and then isolating the variable. Use online advanced calculators to calculate the equation to view all the steps.

Answer:

Square root of 49

The missing side is 7

Step-by-step explanation:

With the Pythagorean theorem.

25^2= 625

24^2= 576

Square root of 49=7

The missing side is 7

Answer:

a. The coefficients of are the same, but the constant terms are different.

Step-by-step explanation:

it makes the most sence to me, but appoligise if I'm wrong

Answer:

f'(2) = 8

General Formulas and Concepts:

Pre-Algebra

Calculus

The definition of a derivative is "the slope of the tangent line".

Derivatives of constants are 0.

Basic Power Rule:

Step-by-step explanation:

Step 1: Define

f(x) = 3x² - 4x + 2

Step 2: Find 1st Derivative

Step 3: Find tangent slope

Step 4: Identify

f'(2) = 8 tells us that at x = 2, the slope of the tangent line is 8.

Answer:

The First Table

Step-by-step explanation:

The y-values increase inconsistently, while the other tables are constant.

Answer:

x= 2 [tex]\frac{3}{5}[/tex]

Step-by-step explanation:

5x + 15 = 28

5x + 15 (-15) = 28 (-15)

5x = 13

5/5x = 13/5

x= 2 [tex]\frac{3}{5}[/tex]

Answer:

x=2.6

Step-by-step explanation:

1)write equation

2)put line through equal sign(if on paper, its way easier to put a line through.)

3)subtract 15 from 15

4)subtract 15 from 28(13)

If it were to be a negative 15 youd add 15. Never add or subtract to a number with a letter!

5)what's left over is 5×=28 divide 5 on both sides.

6)13÷5=2.6

Answer:

D=100 square inches

Step-by-step explanation:

Area of a square=side^2

Area of a cube=6xside^2

let the side be a

6a^2=600

a^2=600/6

a^2=100

Answer:

im on it its d

Step-by-step explanation:

Answer:

Step-by-step explanation:

Q 4. (25m + 25m) ÷ 25 sec. = 2 m/sec.

Q 5. This question belongs to Physics and not Mathematics!!!

Wavelength (lambda) = Velocity (v) ÷ Frequency ( [tex]sec^{-1}[/tex] or Hz )

f = v / (lambda)

f = 3 / 2 = 1.5 (Hz)

Q 6. 0.060 ÷ 2 = 0.030 m

Answer:

i believe your answer is 550 people, which would be 110/hr

Step-by-step explanation:

Hope that helps!

Answer:

[tex]\boxed {m = -\frac{5}{7}}[/tex]

Step-by-step explanation:

Use the Slope Formula to determine the slope of two given points:

[tex]m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]

First Point: [tex](x_{1} , y_{1})[/tex]

Second Point: [tex](x_{2}, y_{2})[/tex]

-Substitute both points:

First Point: [tex](5, 11)[/tex]

Second Point: [tex](19, -1)[/tex]

[tex]m = \frac{-1 - 11}{19 - 5}[/tex]

-Solve for the slope:

[tex]m = \frac{-1 - 11}{19 - 5}[/tex]

[tex]m = \frac{-10}{14}[/tex]

[tex]\boxed {m = -\frac{5}{7}}[/tex]

Therefore, the slope is [tex]-\frac{5}{7}[/tex]

Answer:2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:  824$ for each

and will have to discount 24$ for each ticket

Step-by-step explanation:  2472/3= 824

2400/3=800

824-800=24

Answer: 11,735

Step-by-step explanation:

2,347 x 5 = 11,735

Answer:

play car games and find out

Step-by-step explanation:

Answer:

24 right handed students

Step-by-step explanation:

1. Out of every 5 students, 4 are right handed and 1 is left handed. We can say that 1/5 of the class is left handed.

2. Multiply 30 by 1/5 to get 6 left handed students in the class.

3. Take the 30 students in the class and subtract the 6 left handed students.

4. The remaining 24 students must be right handed.

Answer: it’s not a solution or C

Step-by-step explanation:

the given point is (2,2) there is a x value and a y value

so 2 < 3(2)-5 *we know 3*2 is 6 and 6-5 is 1*

2 does NOT equal to 1

Answer:

Third option, It is not a solution.

Step-by-step explanation:

In the model for exponential growth or decay, the amount, or size, at t=0 is represented by  [tex]N=N_{0}[/tex]. and at time t is represented by [tex]N=N_{0}e^{kt}[/tex]

Let us consider that [tex]N_{0}[/tex]  is the initial amount and N is represent that amount after growth or decay in time t .

Model for exponential growth or decay is,

                                 [tex]N=N_{0}e^{kt}[/tex]

Amount at t=0 is,

                             [tex]N=N_{0}e^{k*0}=N_{0}[/tex]

Learn more:

https://brainly.com/question/12626186

240 is answer

Answer:

No, it isn't.

Step-by-step explanation:

We have [tex]V=IR^{2}[/tex] and let [tex]H[/tex] be the subset of [tex]V[/tex] of all points on the line

[tex]4x+3y=12[/tex]

We need to find if [tex]H[/tex] is a subspace of the vector space [tex]V[/tex].

In [tex]IR^{2}[/tex] all the possibilities for own subspace of the vector space [tex]IR^{2}[/tex] are :

We know that [tex]H[/tex] is the subset of [tex]IR^{2}[/tex] of all points on the line [tex]4x+3y=12[/tex]

If we look at the equation, the point [tex]\left[\begin{array}{c}0&0\end{array}\right][/tex] doesn't verify it because :

[tex]4x+3y=12\\4(0)+3(0)=12\\0=12[/tex]

Which is an absurd. Therefore, [tex]H[/tex] doesn't contain the origin (and [tex]H[/tex] is a line in [tex]IR^{2}[/tex]). Finally, it can't be a vector space of [tex]V=IR^{2}[/tex]

Answer:

29.3785310734 is the exact answer but you can estimate

Step-by-step explanation:

Let’s say the initial depth was 100%.

A 77% decrease would mean that 77% of the 100% was added to the hole so then it final result would be 177% of the initial hole which is also 52 as given. 177% is the same as 1.77 so we would divide 52 by 1.77 to get that x = 29.3785310734. Still confusing? Just look here:

Step-by-step explanation:

sin 75°: Now using the formula for the sine of the sum of 2 angles, sin(A + B) = sin A cos B + cos A sin B, we can find the sine of (45° + 30°) to give sine of 75 degrees.

Answer:

D.)

Step-by-step explanation:

Edge