MATHEMATICS COLLEGE

What is the probability of the next car being silver.

Answers

Answer 1

Answer:

40%

Step-by-step explanation:

11+24+16+9=60

24/60=2/5

.40

40%

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Find the equation of the line through (-4,6) that is parallel to the line y=-5x+2

Answers

Answer:

The equation of the line, using the point-slope form, through (-4,6) that is parallel to the line will be:

$y=-5x-14$

Step-by-step explanation:

We know that the slope-intercept form is

$y=mx+b$

Where m is the slope and b is the y-intercept

Given the equation

$y=-5x+2$

comparing with the slope-intercept form

slope = m = -5

y-intercept = b = 2

We know that the parallel lines have the same slopes.

so, the slope of the parallel line will be: -5

Thus, the equation of the line, using the point-slope form, through (-4,6) that is parallel to the line will be:

$y-y_1=m\left(x-x_1\right)$

$y-6 = -5(x-(-4)$

$y-6 = -5 (x+4)$

$y-6 = -5x-20$

$y=-5x+6-20$

$y=-5x-14$

Answer:

y=-x+2

Step-by-step explanation:

i already did it and your welcome in advance

5×(10÷10×10)+(8×3-23)=

Answers

Answer:

Step-by-step explanation:

5 ×(10 :10 ×10) +(8 ×3 - 23) =

5 ×(1 ×10) +(24 - 23) =

5 ×10 +1 =

50 +1 =

Show steps how to solve for y!!!!!
2y+2=3y/2
Please help me

Answers

$\text{Solve for y:}\n\n2y+2=(3y)/(2)\n\n\text{Multiply both sides by 2 to cancel the denominator}\n\n4y+4=3y\n\n\text{Subtract 3y from both sides}\n\ny+4=0\n\n\text{Subtract 4 from both sides}\n\n\boxed{y=-4}$

Answer:-4

Step-by-step explanation:

2y+2=3y/2

Cross multiply

2(2y+2)=3y

Open bracket

4y+4=3y

Collect like terms

4y-3y=-4

y=-4

The local oil changing business is very busy on Saturday mornings and is considering expanding. A national study of similar businesses reported the mean number of customers waiting to have their oil changed on Saturday morning is 3.6. Suppose the local oil changing business owner wants to perform a hypothesis test. The null hypothesis is the population mean is 3.6 and the alternative hypothesis that the population mean is not equal to 3.6. The owner took a random sample of 16 Saturday mornings during the past year and determined the sample mean is 4.2 and the sample standard deviation is 1.4. It can be assumed that the population is normally distributed and the level of significance is 0.05. The critical t value for this problem is _______.

Answers

Answer:

2.131

Step-by-step explanation:

Given : Sample size = 16

Sample mean is 4.2

Sample standard deviation is 1.4.

Level of significance is 0.05.

To Find : critical t value

Solution:

Sample size = 16

Since n < 30

So we will use t - test

We are supposed to find critical t value

Degree of freedom = n-1 = 16-1 = 15

Level of significance =α= 0.05

Now refer the t table for t critical

$t_({(\alpha)/(2),d.f.})$ = $t_({(0.05)/(2),15})$ = 2.131

Hence The critical t value for this problem is 2.131

X^2-10x+y^2-20y=-125 what is x+y=?

Answers

The value of x + y from the equation $x^2-10x+y^2-20y=-125$ is 15

The equation is given as:

$x^2-10x+y^2-20y=-125$

Add 125 to both sides of the equation

$x^2-10x+y^2-20y+125 = 0$

Express 125 as 100 + 25

$x^2-10x+y^2-20y+100 +25 = 0$

Rewrite the equation as:

$x^2-10x +25+y^2-20y+100 = 0$

Group the expressions

$[x^2-10x +25]+[y^2-20y+100 ]= 0$

Express the expressions in both groups as perfect squares

$(x - 5)^2+(y - 10)^2= 0$

Possible equations from the above equation is:

$(x - 5)^2= 0$ and $(y - 10)^2= 0$

Take the square roots of both sides

$x - 5= 0$ and $y - 10= 0$

Solve for x and y in the above equations

$x = 5$ and $y =10$

So, we have:

$x + y = 5 + 10$

$x + y = 15$

Hence, the value of x + y is 15

Read more about quadratic functions at:

brainly.com/question/1214333

True or FalseThe farther the 2-statistic is from 0, the more the null hypothesis is discredited.

Answers

Answer:

it is true

Step-by-step explanation:

A test statistic compares our observed outcome to the alternative hypothesis. If the null hypothesis is true, then the teststatistic will be close to 0. Therefore, the farther the test statistic is from 0, the more the null hypothesis is discredited.

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