Evaluate x² + 2x - 4 if x = -4.

Answer:

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Step-by-step explanation:

Answers:

Refer to the diagram below

========================================

Explanation:

For points D,E,F,G we will follow these steps

Let's go through an example:

Point D is located at (-3, -9). Apply the three steps mentioned above.

In short, D(-3,-9) reflects over the line x = 3 to land on D ' (9, -9)

The other points E, F, G will follow the same steps to get the answers you see at the top.

The diagram below visually summarizes everything.

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Side notes:

The margin of error is 0.027 and the interval estimate at 95% confidence interval is 0.612 to 0.666

From the question, we have the following parameters that can be used in our computation:

Proportion, p = 63.9%

Sample size, n = 1200

The margin of error can be calculated using:

E = z * √((p * (1 - p))/n)

Where

z = 1.96 i.e. z-score at 95% CI

Substitute the known values in the above equation, so, we have the following representation

E = 1.96 * √((0.639 * (1 - 0.639))/1200)

Evaluate

E = 0.027

The interval estimate is calculated as

I = p ± E

So, we have

I = 0.639 ± 0.027

Evaluate

I = 0.612 to 0.666

Hence, the interval estimate is 0.612 to 0.666

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Question

Fewer young people are driving. In 1995, 63.9% of people under 20 years old who were eligible had a driver’s license. Bloomberg reported that percentage had dropped to 41.7% in 2016. Suppose these results are based on a random sample of 1200 people under 20 years old who were eligible to have a driver’s license in 1995 and again in 2016.

At 95% confidence, what is the margin of error and the interval estimate of the number of eligible people under 20 years old who had a driver’s license in 1995?

Answer:

c.

Step-by-step explanation:

The X value 1 is repeated

Answer:

(2.83 , 1 , 4)

Step-by-step explanation:

[tex]2x+2y-z=4\\4x-2y-2z=2\\3x+3y-4z=-4\\[/tex]

Rewrite these equations in matrix form

[tex]\left[\begin{array}{ccc}2&2&-1\\4&-2&-2\\3&3&-4\end{array}\right] \left[\begin{array}{ccc}x\\y\\z\end{array}\right]=\left[\begin{array}{ccc}4\\2\\-4\end{array}\right] \\[/tex]

we can write it like this,

[tex]AX=B\\X=A^{-1}B[/tex]

so to solve it we need to take the inverse of the 3 x 3 matrix A then multiply it by B.

We get the inverse of matrix A,

[tex]A^{-1}=\left[\begin{array}{ccc}7/15&1/6&-1/5\\1/3&-1/6&0\\3/5&0&-2/5\end{array}\right] \\[/tex]

now multiply the matrix with B

[tex]X=A^{-1}B\\\\\left[\begin{array}{ccc}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}7/15&1/6&-1/5\\1/3&-1/6&0\\3/5&0&-2/5\end{array}\right]\left[\begin{array}{ccc}4\\2\\-4\end{array}\right] \\\\\\\left[\begin{array}{ccc}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}2.83\\1\\4\end{array}\right] \\[/tex]

Answer:

135.05 ; 2.762 ; (133.201, 136.899) ; (132.840, 137.260)

Step-by-step explanation:

Given the data:

Urban area Price/liter

St. John, NL 137.1

Halifax 133.6

Montreal 136.2

Regina 132.3

Saskatoon 132.2

Yellowknife 138.9

Mean = (137.1 + 133.6 + 136.2 + 132.3 + 132.2 + 138.9) / 6

= 810.3 / 6

= 135.05

Standard deviation (σ) : √Σ(X - mean)²/n-1

(137.1 - 135.05)^2 + (133.6 - 135.05)^2 + (136.2 - 135.05)^2 + (132.3 - 135.05)^2 + (132.2 - 135.05)^2+ (138.9 - 135.05)^2 = 38.135

√(38.135 / (6 - 1))

= √7.627

= 2.7617023

= 2.762

C.)

90% confidence interval of the mean :

Mean ± Zcrit * σ/√n

Zcrit at 90% = 1.64

135.05 ± 1.64 * (2.762/√6)

135.05 ± 1.64 * 1.1275817

Lower Value = (135.05 - (1.64 * 1.1275817)) = 133.201

Upper Value = (135.05 + (1.64 * 1.1275817))) = 136.899

Confidence interval = (133.201, 136.899)

D.)

95% confidence interval of the mean :

Mean ± Zcrit * σ/√n

Zcrit at 95% = 1.96

135.05 ± 1.96 * (2.762/6)

135.05 ± 1.96 * 1.1275817

Lower Value = (135.05 - (1.96 * 1.1275817)) = 132.840

Upper Value = (135.05 + (1.96 * 1.1275817)) = 137.260

Confidence interval = (132.840, 137.260)

Answer:

I think the answer is D  

Step-by-step explanation:

Answer:

I believe the answer is '2 solutions'.

Step-by-step explanation:

Combine each equation, solve the resulting question which comes out as two seperate variables, x = -1.197-- and y = 7.3990. I believe your answer is '2 solutions' because of this.

Answer:

1 solution

Step-by-step explanation:

Answer: x=3

Step-by-step explanation:

Isosceles means that both of those sides are equal.

5x = 7x -6

-2x = -6

x = 3

Answer:

x = 3

Step-by-step explanation:

I know because is

7x-6= 5x

then just resolve the equation

A. $ 58.50

B. $ 80

C. No, it did not mark up 30%.

Step-by-step explanation:Since,

A. We have,

Mark up percentage = 30%

Actual price = $ 45,

B. We have,

SP = $ 104,

C.  We have,

AP = $ 75,

SP = $100,

Thus, mark up percentage =

= 33.33 %

Hence, store did not mark up the price by 30%.

Recall that

cos²(x) + sin²(x) = 1

for all x, so that

sin(x) = ± √(1 - cos²(x))

Given that cos(θ) = 4/9 > 0, and

tan(θ) = sin(θ) / cos(θ) < 0

it follows that sin(θ) < 0, so

sin(θ) = - √(1 - cos²(θ)) = - √(1 - (4/9)²) = - √(65)/9

The value of sinθ is √(65)/9.

The sine function in trigonometry is the ratio of the hypotenuse's length to the opposite side's length in a right-angled triangle. To determine a right triangle's unknown angle or sides, utilize the sine function.

Since cos(theta) = 4/9 and tan(theta) < 0, we know that theta is in the second quadrant of the unit circle, where cosine is positive and sine is positive.

We can use the Pythagorean identity to find sin(theta):

sin²(theta) + cos²(theta) = 1

Substituting in the given value of cos(theta), we get:

sin²(theta) + (4/9)² = 1

sin²(theta) + 16/81 = 1

sin²(theta) = 1 - 16/81

sin²(theta) = 65/81

Taking the square root of both sides, we get:

sin(theta) = ± sqrt(65)/9

Since theta is in the second quadrant where sine is positive, we can take the positive root:

sin(theta) = sqrt(65)/9

Therefore, sin(theta) = sqrt(65)/9.

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Answer:

huh??

Step-by-step explanation:

Answer:

-20/3

Step-by-step explanation:

here x=5 and y=2 then put the value and get answer.

Answer:

The answer is 1

Step-by-step explanation:

30 minus 24 is 6 and 6 divided by 6 is 1

Answer:

a,c,d

Step-by-step explanation:

Answer:

the answer is F, C, A

Answer:

x=10

Step-by-step explanation:

add al the numbers that are alike so xes with xes blah blah

17x+10=180

-10 both sides

17x=170

divide 17 both sides

check

5(10)=50-1=49

80+5=85

40+6=46

49+85+46=180

(x + 3)⁵

= x⁵ + 3⁵

= x⁵ + 243

Answer:

I think it's A.

Step-by-step explanation:

I hope it is helpful to you

Answer:

Price of tne Vest + $40 - 1.40 = $38.6

Step-by-step explanation:

3.5% * n = $1.40

0.035 * n = $1.40

0.035/0.035 * n = $1.40/0.035

n = $40

The price of the vest not including the tax is, $40

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Since, Tax is a sum levied by the government or an agency of the government on goods and services. taxes increases the price of products

Now,

Let p = price of a vest

Hence, from the question, this equation can be formed,

⇒ 35% of p = $1.40

⇒ 0.035 x p = $1.4

divide both sides of the equation by 0.035;

⇒ p = $40

Thus, The price of the vest not including the tax is, $40

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Complete question is this;

Jill paid a sales tax of $1.40 when she bought a vest. What was price of vest not including tax? Sales tax = 3.5%

Answer:

a. (4+3)² ÷ (10-3)

Step-by-step explanation:

Because 4+3 is 7 then to the second power is 49 divide that by 7 which gives you 7.

Answer:

G=13. On kahn

Step-by-step explanation:

GIVE ME THE ANSWER!!!!!!!!!!!!!!!!!!

Answer:

The answer is 2.5 or 5/2 as a fraction.

Step-by-step explanation:

P.S Can I have brainliest?

Answer:

2.5

Step-by-step explanation:

[tex]\frac{5}{8}[/tex] ÷ [tex]\frac{1}{4}[/tex]

turns into

[tex]\frac{5}{8}[/tex] ×[tex]\frac{4}{1}[/tex] = [tex]\frac{20}{8}[/tex]

and 20/8 as a decimal is 2.5 :) hope this helps!

Answer:

Each person would get 1/6 of the pizza

Step-by-step explanation:

1/3 divided by 2 is 1/6. Do that again and you will get four of 1/6.

Answer:

Step-by-step explanation:

[tex]\sin^4x-\sin^2x=\cos^4x-\cos^2x\\\\Ls=\sin^2x(\sin^2x-1)=-\sin^2x(1-\sin^2x)=-\sin^2x\cos^2x\\\\Rs=\cos^2x(\cos^2x-1)=-\cos^2x(1-\cos^2x)=-\cos^2x\sin^2x\\\\Ls=Rs\\\\\text{used}\\\\a^n\cdot a^m=a^{n+m}\\\\\text{distributive property}\ a(b+c)=ab+ac\\\\\sin^2x+\cos^2x=1\to \sin^2x=1-\cos^2x\\\\\sin^2x+\cos^2x=1\to \cos^2x=1-\sin^2x}[/tex]

Answer:

B' = 105°

C = 27°

A = 48°

Step-by-step explanation:

Given

B = 105°

C = (2x - 3)°

C' = (5x - 48)°

Rotation = 90°

Before solving the requirements of this question, it should be noted that rotation do not change the angle of shapes.

i.e. an angle retain its measurements pre and after rotation.

Solving (a): The measurement of B'

Using the analysis above.

B' = B

Recall that

B = 105°

So:

B' = 105°

Solving (b): A and C

First, I'll solve for C.

Using the same analysis above.

C = C'

Substitute values for C and C'

5x - 48 = 2x - 3

Collect like terms

5x - 2x = 48 - 3

3x = 45

Multiply both sides by ⅓

⅓*3x = ⅓*45

x = 15

Substitute 15 for x in

C = (2x - 3)°

C = 2 * 15 - 3

C = 30 - 3

C = 27°

Solving for A

The sum of angles (A, B and C) is represented as:

A + B + C = 180

Substitute values for B and C

A + 105° + 27° = 180°

A + 132° = 180°

Collect like terms

A = 180° - 132°

A = 48°