Find the equation for the
following parabola.
Vertex (0, 0)
Focus (-3, 0)
A. 42 = 12y
B. y2 = -12%
C. -(3/2)/2 = x
D. X2 = 127

Step-by-step explanation:

a)U={1,3,4,5}

b)={1,3,5}

Answer:

a. 1/12

Step-by-step explanation:

I'm not 100% sure but...

The odds of the coin landing on tails is 1/2

The odds of the dice landing on 3 is 1/6

1/2 * 1/6 = 1/12

Answer:

No Solution

or -30

Step-by-step explanation:

Answer:

-30

Step-by-step explanation:

-52 + 63 (-41)

=-30

Answer:

x = -2

y = 5

Step-by-step explanation:

7y - 5x = 45    -------------------(I)

x = 8 - 2y -----------------------(II)

Substitute x = 8 - 2y in equation (II)

7y - 5(8-2y) = 45

7y + 8 *(-5) - 2y*(-5) = 45

7y - 40 + 10y = 45

17y - 40 = 45

17y = 45 + 40

17y = 85

y = 85/17

y = 5

Plugin y = 5 in equation (II)

x = 8 - 2*5

x = 8 - 10

x = -2

Answer:

i think it is 47

Step-by-step explanation:

Answer:

the number of downloads of the standard version is 260

Step-by-step explanation:

Let us assume the downloads of the standard version be x

And, the download of the high-quality version be y

Now as per the question

2.5x + 4.4y = 4522 .........(1)

x + y = 1140

y = 1140 - x .......................(2)

Now put the value of equation 2 in the equation 1

So,

2.5x + 4.4 (1140 - x) = 4522

2.5x + 5016 - 4.4x = 4522

-1.9x = -494

x = 260

Hence, the number of downloads of the standard version is 260

Answer:

it's a 2/3 chance of landing on it but there are 4 non vowels. so I assume the answer is 4

Answer:

(4, 10) and (7, 7.5) are the solutions to this system.

Step-by-step explanation:

You can see this by observing the two given points where the line and the parabola intercept.  Those are the only two points where that will happen.

Answer:

number 2 i think

Step-by-step explanation:

Answer:

thhhhhhheeeeeeeee p.m.f of x

Answer:

Step-by-step explanation:

Answer:

[tex]A = 2B[/tex]

[tex]A + B = 25[/tex]

Step-by-step explanation:

Given

The first statement implies that:

[tex]X = A + B[/tex] i.e the components of X

Reading further, we have:

[tex]X = 45[/tex] ---- The mass of X

[tex]A = 2B[/tex] --- The relationship between [tex]A\ and\ B[/tex]

Required

Two equations to represent the scenario

The two equations are:

[tex]A = 2B[/tex] --- The relationship between [tex]A\ and\ B[/tex]

[tex]X = A + B[/tex] i.e the components of X

Substitute 25 for X in the second equation

[tex]25 = A + B[/tex]

[tex]A + B = 25[/tex]

So, the equations are:

[tex]A = 2B[/tex]

[tex]A + B = 25[/tex]

Answer:

D

Step-by-step explanation:

30 multiplied by 1.34 is 40.2

Answer: i got it right the answer is 77

Step-by-step explanation:

Answer:

i think 120

Step-by-step explanation:

Step-by-step explanation:

by using Pythagoras theorem,

AB^2+BC^2=CA^2

9^2+12^2=x^2

81+144=285

answer=(285)^2=16.88

nearest tenth is 20

Answer:

B and A

Step-by-step explanation:

Answer:

x = 30°

y = 70°

z = 80°

Step-by-step explanation:

[tex]x = 180 \degree - 150 \degree = 30 \degree \\ \\ z = 180 \degree - 100 \degree = 80 \degree \\ \\ y = 180 \degree - (30 \degree + 80 \degree ) \\ \\ y = 180 \degree -110 \degree \\ \\ y = 70 \degree[/tex]

Answer:

The correct answer is A or C 0.05n < 0.45

Step-by-step explanation:

Nickels cost $0.05 and n is the number of nickels, so you multiply the two to get 0.05n. Since this value is less than $0.45, we put a less than sign.

Answer:

I can´t see...

Step-by-step explanation:

Answer:

it's 48 promise because if you do 6x8 you get =48

Answer:

triangle

Step-by-step explanation:

Answer:

The answer is triangle.

Step-by-step explanation:

JUST CONNECT THE POINTS! You can clearly see that it's a triangle. Am on this question rn.

Person above is wrong, the answer is D on Edge.

D. y1 = log x/log 6, y2 = log (x + 4)/log 2

Answer:

its D on edge 2021

Step-by-step explanation:

i took the test

Answer:

[tex]\alpha=0.11767[/tex]

[tex]\beta=0[/tex]

Step-by-step explanation:

From the question we are told that:

Population size size [tex]N=500[/tex]

Sample mean [tex]n=313[/tex]

Null hypothesis [tex]H_0:P=0.6[/tex]

Alternative hypothesis[tex]H_a:P>0.6[/tex]

Generally the equation for for P value is mathematically given by

[tex]P=\frac{n}{N}[/tex]

[tex]P=\frac{313}{500}[/tex]

[tex]P=0.6[/tex]

Generally the mean [tex]\=x[/tex] is mathematically given by

[tex]\=x=np\\\=x=500*0.6[/tex][tex]\=x=300[/tex]

Generally the standard deviation [tex]\sigma[/tex] is mathematically given by

[tex]\sigma=\sqrt{npq}[/tex]

[tex]\sigma=\sqrt{500*0.6*(1-0.6)}[/tex]

[tex]\sigma=10.95[/tex]

a)

Generally the probability of Type_I error [tex]P(X>313)[/tex] is mathematically given as

[tex]P(X>313)=P(\frac{x-\mu}{\sigma}>\frac{313-300}{10.95} )[/tex]

[tex]P(X>313)=P(z>1.187 )[/tex]

Therefore using z table

[tex]\alpha=0.11767[/tex]

b)

Null hypothesis [tex]H_0:P=0.75[/tex]

Alternative hypothesis[tex]H_a:P>0.75[/tex]

Generally the probability of Type_II error [tex]P(X<313)[/tex] is mathematically given as

[tex]P=0.75,n=500\\q=1-0.75\\q=0.25[/tex]

Generally the mean [tex]\=x'[/tex] is mathematically given by

[tex]\=x'=500*0.75[/tex]

[tex]\=x'=500*0.75[/tex]

[tex]\=x'=375[/tex]

Generally the standard deviation [tex]\sigma[/tex] is mathematically given by

[tex]\sigma=\sqrt{npq}[/tex]

[tex]\sigma=\sqrt{500*0.75*(1-0.75)}[/tex]

[tex]\sigma=9.68[/tex]

Therefore

[tex]P(X<313)=P(\frac{x-\mu}{\sigma}<\frac{313-375}{9.68} )[/tex]

[tex]P(X<313)=P(z<-6.405)[/tex]

Therefore from standard normal table

[tex]P(X<313)=0[/tex]

[tex]\beta=0[/tex]

Answer:

[tex]Degree = 3[/tex]

Step-by-step explanation:

Given

[tex]k(x) = x + 1[/tex]

[tex]m(x) = x - 4[/tex]

[tex]n(x) = x + 5[/tex]

[tex]f(x) = k(x) * m(x) * n(x)[/tex]

Required

The degree of f(x)

First, calculate f(x)

[tex]f(x) = k(x) * m(x) * n(x)[/tex]

[tex]f(x) = (x +1) * (x - 4) * (x + 5)[/tex]

Expand

[tex]f(x) = (x +1) * (x^2 - 4x + 5x - 20)[/tex]

[tex]f(x) = (x +1) * (x^2 + x - 20)[/tex]

Further Expand

[tex]f(x) = x^3 + x^2 - 20x +x^2 + x - 20[/tex]

Collect like terms

[tex]f(x) = x^3 + x^2 +x^2 - 20x + x - 20[/tex]

[tex]f(x) = x^3 + 2x^2 - 19x- 20[/tex]

The degree of f(x) is the highest power of x.

Hence:

[tex]Degree = 3[/tex]

Answer:

B: (2,-4)

Step-by-step explanation:

x-2=0

x=2

y+4=0

y=-4

Answer:

a. True

Step-by-step explanation:

By ∝= 5% we mean that there are about 5 chances in 100 of incorrectly rejecting a true null hypothesis. To put it in another way , we say that we are 95% confident in making the correct decision.

In the given question the null hypothesis is

H0: u ≤ 1 hour and Ha:  u > 1 hour

So there is a 5% chance that the erroneous conclusion will be made that students spend on average more than 1 hour per assignment.

The given statement is true.

Answer: x = 7

Part A: y = (x)3- + 40

22 = 7 x 3- + 40

22 = 21- + 40

40 - 21 = 22

Part A= 22

Part B: x - 3(7) = 7(y) + x

40 + 37 + 34 + 31 + 28 + 25 + 22

Part B: 217

Step-by-step explanation:

Have a nice day.