identify an equation in point slope form for the line perpendicular to y=-2x+8 that passes through (-3,9)

Answer:

[tex]\huge\colorbox{violet}{✏﹏ \: BTS \: }[/tex]

➳ Ofc BTS!!!!!

➳Jimin - BTS

Answer:

The 90% confidence interval for the difference in the mean common final exam scores between students in the two types of sections is about (-5.3, 0.3).

Step-by-step explanation:

Before building the confidence interval, we need to understand the central limit theorem and subtraction between normal variables.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

35 students from large sections. The mean and sample standard deviation of grades on the common final exam for the students from large sections were 72.8 and 7.4;

This means that:

[tex]\mu_L = 72.8, s_L = \frac{7.4}{\sqrt{35}} = 1.25[/tex]

35 students from small sections. For the students from small sections, the mean and standard deviation were 75.3 and 6.8.

This means that:

[tex]\mu_S = 75.3, s_S = \frac{6.8}{\sqrt{35}} = 1.15[/tex]

Distribution of the difference in the mean common final exam scores between students in the two types of sections:

Has mean and standard error given by:

[tex]\mu = \mu_L - \mu_S = 72.8 - 75.3 = -2.5[/tex]

[tex]s = \sqrt{s_L^2+s_S^2} = \sqrt{1.25^2 + 1.15^2} = 1.7[/tex]

Confidence interval:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.9}{2} = 0.05[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.05 = 0.95[/tex], so Z = 1.645.

Now, find the margin of error M as such

[tex]M = zs = 1.645*1.7 = 2.8[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is -2.5 - 2.8 = -5.3

The upper end of the interval is the sample mean added to M. So it is -2.5 + 2.8 = 0.3

The 90% confidence interval for the difference in the mean common final exam scores between students in the two types of sections is about (-5.3, 0.3).

Answer:

7z is the sum of seven 'z's while z to the power of z is the multiplication of z to itself z times.

Step-by-step explanation:

7z is 7 times of z.

7z= z +z +z +z +z +z +z

z⁷ (z to the power of 7) is multiplying z by itself 7 times.

z⁷= z ×z ×z ×z ×z ×z ×z

0/25 is 0. 5/10 is 0.5 3/4 is 0.75 2/3 is 0.66666

Answer:

a. [tex]5 \frac{21}{40} [/tex]

b. [tex] \frac{1}{42} [/tex]

Step-by-step explanation:

[tex]a. \: 12 \frac{2}{5} - 6 \frac{7}{8} [/tex]

[tex] \frac{62}{5} - \frac{55}{8} [/tex]

[tex] \frac{62}{8} \times \frac{8}{8} - \frac{55}{8} \times \frac{5}{5} [/tex]

[tex] \frac{62 \times 8 - 55 \times 5}{40} [/tex]

[tex] \frac{221}{40} [/tex]

[tex]5 \frac{21}{40} [/tex]

[tex]b. \: \frac{3}{14} - \frac{4}{21} [/tex]

[tex] \frac{3}{14} \times \frac{3}{3} - \frac{4}{21} \times \frac{2}{2} [/tex]

[tex] \frac{3 \times 3}{42} - \frac{4 \times 2}{42} [/tex]

[tex] \frac{1}{42} [/tex]

Hope it is helpful....

Answer:

Step-by-step explanation:

Exponential function representing final amount with compound interest compounded continuously,

[tex]A=Pe^{rt}[/tex]

Here, A = Final amount

P = principal amount

r = Rate of interest

t = Duration of investment

For P = $9600

r = 6%

A = 2 × 9600 = $19200

By substituting these values in the formula,

[tex]19200=9600(e)^{0.06\times t}[/tex]

[tex]2=e^{0.06t}[/tex]

[tex]ln(2)=ln(e^{0.06t})[/tex]

ln(2) = 0.06t

t = [tex]\frac{0.693147}{0.06}[/tex]

t = 11.55245

t ≈ 11.5525 years

Any amount will get doubled (with the same rate of interest and duration of investment) in the same time.

Therefore, $960000 will get doubled in 11.5525 years.

Answer:

140 seats

Step-by-step explanation:

40 rows

1ˢᵗ row = 20 seats

39 next rows = 2×20 = 40 seats

First 4 rows = 20 seats + 3(40) seats = 140 seats

➪the 2ⁿᵈ, 3ʳᵈ and 4ᵗʰ rows have equal number of seats = 40 seats

Answer:

98

Step-by-step explanation:

Answer:

The answer is 46

Step-by-step explanation:

Since there is a diagonal, you can't assume that it is the width because if it was the width, it would say so. Since 17 was the measure of the diagonal, I did pythagorean theorem: 15^2 + x^2 =  17^2 --> 225 + x^2 = 289 --> x^2 = 64 --> x = 8. So now we have figured out the width of the rectangle and it's 8. Now we can add: 8 + 8 + 15 + 15 = 46. That is why the answer is 46.

The perimeter of the rectangle  46 feet.

The correct option is (A).

Perimeter is the distance around the edge of a shape.

Learn how to find the perimeter by adding up the side lengths of various shapes.

Given : length= 15 feet and diagonal= 17 feet

Since there is a diagonal.

So, using Pythagorean theorem:

H² = P²+B²

15²+ x² =  17²

or, 225 + x² = 289

or, x² = 64

x = ± 8 feet.

Thus, width = 8 feet

Perimeter of rectangle= 2*(l+b)

= 2*(15+8)

= 2*23

=46 feet

Learn more about perimeter here:

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Answer:

$3990

Step-by-step explanation:

First, if the tuition increased by 300 the first year, and 330 the next year, I can infer that the tuition increases by $30 a year. This year, the the tuition will cost 360, because 330 + 30 = 360. So, this year the tuition will be 3990, because 3630 + 360 = 3990.

Hope this helps

Answer:

sometimes

Step-by-step explanation:

Answer:

16 cubic units

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

[tex] \sqrt{16} = 4[/tex]

but there is a negative sign so -4

Answer:

4

as the square root of 16 is 4 the answer will be +as well as -4 but the minus sign will be cancel out as there iss -sign outside

8300 is the product of 8.31 and 1,000

Multiplication is a method of finding the product of two or more numbers

We need to find the product of 8.31 and 1,000.

product of Eight point three one and thousand.

In the given numbers 8.31 is a decimal number and 1000 is a whole number.

To multiply both let us make thousand as a whole number by placing two zeros on right side of 1000 with a point.

1000.00

 ×  8.31

_________

8310

Hence, 8300 is the product of 8.31 and 1,000

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Answer:

Step-by-step explanation: $5.40 + $0.54 now equals $5.94

Answer:A)

A shape has four sides if and only if it's a quadrilateral.

Step-by-step explanation:

If a conditional statement and its converse are both true, then the statement is a biconditional statement. Biconditional statements can be written using the phrase “if and only if.” For example, a polygon is a hexagon if and only if it has six sides.

Answer:

A

Step-by-step explanation:

Equation

2x + 3x + 8 + 7x - 2 = 90        

Solution

Combine like terms on the left

12x + 6 = 90                    Subtract 6 on both sides

12x = 90 - 6

12x = 84                         Divide by 12

x = 84/12

x = 7

Answer:

616 in²

Step-by-step explanation:

14 × 14 × 22/7

=> 616

Answer:

616 inches squared

Step-by-step explanation:

14 × 14 × 22/7

=> 616

9514 1404 393

Answer:

  A)  3y = x + 16

Step-by-step explanation:

The equation of a perpendicular line can be found by swapping the x- and y-coefficients and negating one of them. The constant will be chosen to match the given point.

Swapping coefficients, we get ...

  -3y = x + c

Negating the y-coefficient gives ...

  3y = x + c

Filling in the given point, we have ...

  3(5) = -1 + c

  16 = c

The equation of the perpendicular line can be written as ...

  3y = x + 16 . . . . matches choice A

_____

Note that choice A is the only equation that gives a line with positive slope. The given equation has negative slope, so its perpendicular must have positive slope.

Answer:

The correct answer is G(1, 4).so go through it.

Answer:

27) x = 2^(y) – 5.

Asymptote: x = -5.

D: x > -5; (-5, infinity).

R: -infinity < f(x) < infinity; ARN;

(-infinity, infinity).

x → -infinity, f(x) → -infinity.

x → +infinity, f(x) → +infinity.

________________________

28) x = 2^-(y–3).

Asymptote: x = 0.

D: x > 0; (0, infinity).

R: -infinity < f(x) < infinity; ARN;

(-infinity, infinity).

x → -infinity, f(x) → +infinity.

x → +infinity, f(x) → -infinity.

________________________

29) x = 4^(y–2) + 1.

Asymptote: x = 1.

D: x > 1; (1, infinity).

R: -infinity < f(x) < infinity; ARN;

(-infinity, infinity).

x → -infinity, f(x) → -infinity.

x → +infinity, f(x) → +infinity.

________________________

True

______

A closed circuit basically means everything is connected by wires and for this setup every device receives electricity making this true

Answer:

One Answer

Step-by-step explanation:

Take two points like (8,2) and (12,4) and do y2-y1/x2-x1.

4-2/12-8 = 4/2 = 2.

Then that another point and plug it in to the equation, y = 2x + b.

i will use (8,2). 2 = 2(8)+b. solve this and you get b= -14.

now you found your answer. y=2x + -14.

129×526

=67,854

it is the correct answer

hope it helps you have a good day please mark me as brain list

Answer:

129×526

= 67854 is your answer

hope it is helpful to you

Given:

A prism has a base area of [tex]20\pi [/tex] square units and a volume of [tex]120\pi[/tex] cubic units.

To find:

The volume of the cylinder if the cylinder has the same base area and height.

Solution:

Volume of a prism is:

[tex]V=Bh[/tex]

Where, B is the base area and h is the height of the prism.

The volume of cylinder is:

[tex]V=\pi r^2h[/tex]

[tex]V=Bh[/tex]

Where, r is the radius, h is the height of the cylinder and [tex]B=\pi r^2[/tex] is the base area.

Since base area and height of the cylinder are same as the prism, therefore, there volumes are equal.

Hence the volume of the cylinder is [tex]120\pi[/tex] cubic units.

Answer:

120 pi cubic units

Step-by-step explanation:

9514 1404 393

Answer:

  16

Step-by-step explanation:

The largest square is 7-2 = 5 ratio units larger than the smaller square. Hence, each ratio unit stands for (10 cm)/5 = 2 cm. The side length of the smaller square is 2(2 cm) = 4 cm. The perimeter is 4 times that: 16 cm.

The perimeter of the smallest square is 16 cm.

Answer:

Here, the test statistics ( 20.951 ) is greater than the critical value ( 7.815 )

Therefore, we reject H₀ at 0.05 level of significance.

Hence, there is significant evidence to support the claim that In this community, vehicle ownership distribution is NOT like that of all U.S household

Step-by-step explanation:

Given the data in the question;

Number of vehicle owned                 Number of households

0                                                             20

1                                                              35

2                                                             23

3 or more                                               22

Total ( n )                                               100

so

Null hypothesis           H₀ : In this community, vehicle ownership distribution is like that of all U.S household

Alternative hypothesis Hₐ : In this community, vehicle ownership distribution is NOT like that of all U.S household

Also given that, ∝ = 0.05

Now, we compute the test statistics;

x² = ∑[ ( O[tex]_i[/tex] - E[tex]_i[/tex] ) / E[tex]_i[/tex] ]

where E[tex]_i[/tex] is expected frequency and O[tex]_i[/tex] is observed frequency.

so we make our table for chi square test statistics

No. of                 O[tex]_i[/tex]            P                E[tex]_i[/tex]            (O[tex]_i[/tex] - E[tex]_i[/tex])²             (O[tex]_i[/tex] - E[tex]_i[/tex])²/E[tex]_i[/tex]

Vehicle                                              (n×P)

owned

0                        20         0.087          8.7            127.69                 14.677

1                         35         0.331           33.1            3.61                     0.109

2                        23         0.381           38.1           228.01                 5.985

3 or more          22         0.201          20.1           3.61                      0.180

Total                  100                           100                                        20.951

hence, x² = 20.951

Now, degree of freedom df = k - 1 = 4 - 1 = 3

From Chi-Square critical value table; ( right tailed test ) for ∝ = 0.05

[tex]x_{0.05, 3[/tex] = 7.815

Decision Rule

Reject H₀ if x² is greater than xₐ².

Here, the test statistics ( 20.951 ) is greater than the critical value ( 7.815 )

Therefore, we reject H₀ at 0.05 level of significance.

Hence, there is significant evidence to support the claim that In this community, vehicle ownership distribution is NOT like that of all U.S household

Answer:

=

5

Step-by-step explanation:

Answer:

X = 5

Step-by-step explanation:

Answer:

361

Step-by-step explanation: