(2,-1) m=3

Write an equation of the line In point slope form that passes through the given point and has the given slope.

Point slope form - y-y1=m(x-x1)

Answer:

61,925 miles

Step-by-step explanation:

Given :

The p-value of the tires to outlast the were warranty were given in the the question as = 0.96

Checking the normal distribution table, The probability that corresponds to 0.96

from the Normal distribution table is 1.75.

Mean : 'μ'= 60000 miles

Standard deviation : σ=1100

The formula for z-score is given by

: z= (x-μ)/σ

1.75=(x-60000)/1100

1925=x-60000

x=61925

Therefore, the tread life of tire should be 61,925 miles if they want 96% of the tires to outlast the warranty.

Answer:

{ 6,12}

Step-by-step explanation:

The intersection is what the two sets have in common

{3, 6, 9, 12, 15}∩ {1, 6, 12, 18, 24}

= { 6,12}

Find the intercepts for both planes.

Plane 1, x + y + 2z = 2:

[tex]y=z=0\implies x=2\implies (2,0,0)[/tex]

[tex]x=z=0\implies y=2\implies(0,2,0)[/tex]

[tex]x=y=0\implies 2z=2\implies z=1\implies(0,0,1)[/tex]

Plane 2, 4x + 4y + z = 8:

[tex]y=z=0\implies4x=8\implies x=2\implies(2,0,0)[/tex]

[tex]x=z=0\implies4y=8\impliesy=2\implies(0,2,0)[/tex]

[tex]x=y=0\implies z=8\implies(0,0,8)[/tex]

Both planes share the same x- and y-intercepts, but the second plane's z-intercept is higher, so Plane 2 acts as the roof of the bounded region.

Meanwhile, in the (x, y)-plane where z = 0, we see the bounded region projects down to the triangle in the first quadrant with legs x = 0, y = 0, and x + y = 2, or y = 2 - x.

So the volume of the region is

[tex]\displaystyle\int_0^2\int_0^{2-x}\int_{\frac{2-x-y}2}^{8-4x-4y}\mathrm dz\,\mathrm dy\,\mathrm dx=\displaystyle\int_0^2\int_0^{2-x}\left(8-4x-4y-\frac{2-x-y}2\right)\,\mathrm dy\,\mathrm dx[/tex]

[tex]=\displaystyle\int_0^2\int_0^{2-x}\left(7-\frac72(x+y)\right)\,\mathrm dy\,\mathrm dx=\int_0^2\left(7(2-x)-\frac72x(2-x)-\frac74(2-x)^2\right)\,\mathrm dx[/tex]

[tex]=\displaystyle\int_0^2\left(7-7x+\frac74 x^2\right)\,\mathrm dx=\boxed{\frac{14}3}[/tex]

Answer:

293

Step-by-step explanation:

4*72+5 = 293

Answer:

293

Step-by-step explanation:

So 293-5 is 288.

288 / 72 = 4.

Answer:

1/12

Step-by-step explanation:

Initially there are 4 marbles, 1 of which is green.

After the green marble is removed, there are 3 marbles, 1 of which is red.

The probability is therefore 1/4 × 1/3 = 1/12.

My Answer:

1/12 OR letter B.

My Explanation:

P(G) = 1/4....P(R) = (1/3)

(1/4)(1/3) = 1/12

I hope this makes sense! Glad to help anytime :)

(This is the correct answer on edge 2020/2021 btw)

Answer:

19/9 because it equals to 2.111..  Which is greater than 1

Step-by-step explanation:

By the way if it's right can i get brainliest.

Answer:

1 < 19/9

Step-by-step explanation:

1  vs 19/9

Rewriting 19/9 as 9/9 + 9/9+ 1/9

1 vs 1+1 +1/9

1 vs 2 1/9

1 < 19/9

Answer:

9/26

Step-by-step explanation:

Answer:

Step-by-step explanation:

25-3 =22 have a cat or a dog

15 +16 =31 students are in the class if every person has either a cat or a dog

But we have 22

so 31 - 22 = 9 have both cat and dog

the probability is 9/25

Trigonometry is the study of the properties of triangles and trigonometric functions and of their applications.  

I'm not sure how you'd want me to answer your question though, but stay safe!!

- eli <3

Answer:

This equation displays the distributive property which states that a(b + c) = a(b) + a(c).

Answer:

Distributive property

Step-by-step explanation:

4(x+3)=4x+12

This example shows distributive property because 4 is distributed (multiplied) to x +3. When 4 is distributed, it will equal 4x+12!!

Hope it helps!!!!

Answer:36.5625

Step-by-step explanation:

Hope this helped!

<!> Brainliest is appreciated! <!>

Answer:

x^3 + 4x^2 + 5x + 2.

Step-by-step explanation:

(x+1)(x+1)(x+2) = (x^2 + x + x + 1)(x + 2) = (x^2 + 2x + 1)(x + 2) = x^3 + 2x^2 + 2x^2 + 4x + x + 2 = x^3 + 4x^2 + 5x + 2.

Hope this helps!

Answer:

$341.00

Step-by-step explanation:

"$ 18.00 each month."

$18.00*$12.00=$216.00

$216.00+$125.00=$341.00

hope this helpes

be sure to give brainliest

Answer:

Hey there!

40 is 25% of 120.

We can see that 30 is 25% of 120, because 0.25(120)=30.

Hope this helps :)

Answer:

30 is 25% of 120

Step-by-step explanation:

What is 25% of 120

Is means equals and of means multiply

What = 25% * 120

What = .25 * 120

What =30

30 is 25% of 120

Answer:

Step-by-step explanation:

hope its helpful

Answer:

4, 10, and 20.

Step-by-step explanation:

20 is a composite number because it has more than 2 factors.

The factors of 20 are 1, 2, 4, 5, 10, and 20.

1 is neither prime nor composite.

2, 5 are prime numbers because they only have 2 factors.

4, 10, 20 are composite numbers because they have more than 2 factors.

Answer:

(x + 2)²(x - 3)² = 0

Step-by-step explanation:

Since we have a degree of 2 and double of the same roots, we know that each root would have a multiplicity of 2. Therefore, our answer is(x + 2)²(x - 3)² = 0

Answer:

The trransformation was a reflection.

Answer:

The length of the arc is 20 miles.

Step-by-step explanation:

We know that an arc formed by an angle of 1 radian in a circle of radius of 1 mile will have a length of 1 mile.

If the radius is 5 miles, an arc of 1 radian will have a length of 5 miles.

Then, if the angle is 4 radians, and the radius is 5 miles, we will have an arc length of:

[tex]\text{arc length}=\text {angle} \cdot \text {radius}=4\cdot 5 =20\;\text{miles}[/tex]

Answer: 0.12 accidents.

Step-by-step explanation:

The expected value is:

EV = ∑pₙ*xₙ

where xₙ is the event number n, pₙ is the probability of event xₙ

in this case we have:

x₀ = 0 accidents and p₀ = 0.935

x₁ = 1 accident, and p₁ = 0.03

x₂ = 2 accidents, and p₂ = 0.02

x₃ = 3 accidents, and p₃ = 0.01

x₄ = 4 accidents, and p₄ = 0.005

Then the expected value is:

EV = (0*0.935 + 1*0.03 + 2*0.02 + 3*0.01 + 4*0.05) = 0.12 accidents.

Answer:

0.12

Step-by-step explanation:

Answer:

  2 1/4

Step-by-step explanation:

The volume of soil needed is ...

  (14/3 yd)(26/3 yd)(2/36 yd) = 728/324 yd³ = 2.247 yd³

The nearest higher quarter-yard is 2.250 yd³. That's how much you need to order.

  You need to order 2 1/4 cubic yards.

___

There are 3 ft or 36 inches to a yard.

Answer:

|–60 – 11| = |–71| = 71 units

Step-by-step explanation:

Subtract the two points and take the absolute value

(-60 - 11)

The absolute value

| -60 -11| =

|-71|

71

Answer: D

Step-by-step explanation:

Absolute value turns the -60 into 60

Hope this helps!

Answer:

Step-by-step explanation:

Area of a rectangle = l × w

where l is the length

w is the width

length of a rectangle is 11 yds more than twice the width is written as

l = 11 + 2w

Area = 63 yd²

(11+2w)w = 63

2w² + 11w - 63 = 0

Solve the quadratic equation

( w + 9) ( 2x - 7) = 0

w = - 9 w = 7/2 or 3.5

Since width is always positive w is 3.5 yd

l = 11 + 2(3.5)

l = 11 + 7

l = 18 yd

The length is 18 yd

The length is 18 ydThe width is 3.5 yd

Hope this helps you

Answer:

d. 2250.

Step-by-step explanation:

The calculation of mean square due to error (MSE) is shown below:-

Since there are four treatments i.e H0: μ1 = μ2 = μ3 = μ4

And, the SSTR is 6,750

Based on this, the mean square due to error is  

= [tex]\frac{SSTR}{n-1}[/tex]

[tex]= \frac{6,750}{4-1}[/tex]

= [tex]\frac{6,750}{3}[/tex]

= 2,250

Hence, the mean square due to error is 2,250

Therefore the correct option is d.

All the other information is not relevant. Hence ignored it

Answer:

Exactly one solution

Step-by-step explanation:

In a system of equations, the intersection points are where the solutions are.

Since there is only one intersection point in this system, this means that there is only one solution, which is at that exact point.

Answer:

its a

Step-by-step explanation:

Answer:

t-shirts = 8, hats= 15

Step-by-step explanation:

let the no of of t-shirt be x

and the no of hats be y

[tex]x+y= 23-----------1[/tex]

[tex]8x+10y= 154---------2[/tex]

solving equations 1 and 2 simultaneously we have

multiplying equation 1 by 8 and subtracting from 2 we have

[tex]8x+8y=184-------------4\\-8x+10y=154------------2[/tex]  

[tex]=0x-2y=30[/tex]

[tex]y=\frac{-30}{2} \\y=-15[/tex]

y= 15

substituting y= 15 in equation 1 to find x we have

[tex]x+15=23\\x=23-15\\x= 8[/tex]

x=8

Answer:

The circle on the far left is the sum of 4x + 3y and 2x - y so the answer is 4x + 3y + 2x - y = 6x + 2y. The circle on the far left is the sum of x + 4y and something. To find that "something" we can do 4x + 5y - (x + 4y) = 3x + y which is the value of the bottom right rectangle. This means that the value of the bottom circle is 2x - y + 3x + y = 5x.

Answer:

Step-by-step explanation:

left circle=4x+3y+2x-y=6x+2y

right  bottom rectangle=4x+5y-(x+4y)=4x+5y-x-4y=3x+y

Bottom circle=2x-y+3x+y=5x

Answer:

5 [tex]\frac{1}{3}[/tex], 10 [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

There is a common ratio r between consecutive terms, that is

[tex]\frac{2}{3}[/tex] ÷ [tex]\frac{1}{3}[/tex] = 1 [tex]\frac{1}{3}[/tex] ÷ [tex]\frac{2}{3}[/tex] = 2 [tex]\frac{2}{3}[/tex] ÷ 1 [tex]\frac{1}{3}[/tex] = 2

Thus to obtain a term in the sequence multiply the previous term by 2, thus

a₅ = [tex]\frac{8}{3}[/tex] × 2 = [tex]\frac{16}{3}[/tex] = 5 [tex]\frac{1}{3}[/tex]

a₆ = [tex]\frac{16}{3}[/tex] × 2 = [tex]\frac{32}{3}[/tex] = 10 [tex]\frac{2}{3}[/tex]

Answer:

At a significance level of 0.05, there is enough evidence to support the claim that there is a significant difference in the proportion of vines infested using Pernod 5 as opposed to Action.

Step-by-step explanation:

This is a hypothesis test for the difference between proportions.

The claim is that there is a significant difference in the proportion of vines infested using Pernod 5 as opposed to Action.

Then, the null and alternative hypothesis are:

H_0: \pi_1-\pi_2=0\\\\H_a:\pi_1-\pi_2\neq 0

The significance level is 0.05.

The sample 1 (Pernod 5), of size n1=400 has a proportion of p1=0.06.

[tex]p_1=X_1/n_1=24/400=0.06[/tex]

The sample 2, of size n2=400 has a proportion of p2=0.1.

[tex]p_2=X_2/n_2=40/400=0.1[/tex]

The difference between proportions is (p1-p2)=-0.04.

[tex]p_d=p_1-p_2=0.06-0.1=-0.04[/tex]

The pooled proportion, needed to calculate the standard error, is:

[tex]p=\dfrac{X_1+X_2}{n_1+n_2}=\dfrac{24+40}{400+400}=\dfrac{64}{800}=0.08[/tex]

The estimated standard error of the difference between means is computed using the formula:

[tex]s_{p1-p2}=\sqrt{\dfrac{p(1-p)}{n_1}+\dfrac{p(1-p)}{n_2}}=\sqrt{\dfrac{0.08*0.92}{400}+\dfrac{0.08*0.92}{400}}\\\\\\s_{p1-p2}=\sqrt{0.000184+0.000184}=\sqrt{0.000368}=0.019[/tex]

Then, we can calculate the z-statistic as:

[tex]z=\dfrac{p_d-(\pi_1-\pi_2)}{s_{p1-p2}}=\dfrac{-0.04-0}{0.019}=\dfrac{-0.04}{0.019}=-2.085[/tex]

This test is a two-tailed test, so the P-value for this test is calculated as (using a z-table):

[tex]\text{P-value}=2\cdot P(z<-2.085)=0.037[/tex]

As the P-value (0.037) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that there is a significant difference in the proportion of vines infested using Pernod 5 as opposed to Action.

Answer:

c = 20.5x + 5.59

Step-by-step explanation:

c = mx + b

c = mx + 5.59

108.09 = m(5) + 5.59

5m = 102.5

m = 20.5

c = 20.5x + 5.59

Answer:

the answer is going to be D. (3,4,5,8,9,3)