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2 years ago

1. A point at (-4, 7) is rotated 90° clockwise about the origin.

Mathematics

1 answer:

kati45 [8]2 years ago

3 0

Answer:

(7, 4)

Step-by-step explanation:

The rule to rotate a point/figure 90° clockwise about the origin is (x, y) -> (y, -x). We are given the point as (-4, 7).

(-4, 7)
(7, -4)
(7, 4)

Therefore, the answer is (7, 4).

You might be interested in

The revenue (X) from the sales of a compay has an expected value of $6,263, with a standard deviation of $440 while the cost (Y)

shutvik [7]

Answer:

the covariance between the revenue and cost is 1,513. What is the variance of the profit (X-Y) of the company is 303468

Step-by-step explanation:

Given that;

E(x) = 6263

SD(x) = 440

F(y) = 4872

SD(y) = 336

COVI (x, y) = 1513

Variance x = [ SD(x) ]²

Variance x = [440]² = 193600

Variance y = [ SD(y) ]²

Variance y = [336]² = 112896

Now to get variance of the profit (X-Y) of the company we say;

variance ( x-y ) = variance x + variance y - 2covi(x.y)

we substitute

variance ( x-y ) = 193600 + 112896 - ( 2 × 1513 )

variance ( x-y ) = 306496 - 3026

variance ( x-y ) = 303468

therefore the covariance between the revenue and cost is 1,513. What is the variance of the profit (X-Y) of the company is 303468

7 0

3 years ago

The tile along the edge of a triangular community pool needs to be replaced. Which expression represents the total perimeter of

topjm [15]

The total perimeter of the pool edge $\boxed{12{x^2} + 15}$ .Option A is correct.

Further Explanation:

The formula of area of square can be expressed as follows,

${\text{Area}} = \dfrac{1}{2} \times \left( b \right) \times \left( h \right)$

The formula of perimeter of the triangle can be expressed as follows,

$\boxed{{\text{Perimeter}} = 3 \times s}$

Here, s represents the side of square.

Given:

The options are as follows,

A. ${12x^2} + 15$

B. ${20x^2} + 25$

C. ${12x^2} + 8x +25$

D. ${24x^2} + 16x + 50$

Explanation:

Option A is ${12x^2} + 15.$

12 and 15 are the multiple of 3.

$\begin{aligned}{\text{Perimeter}} &= 12{x^2} + 15\\&= 3\left( {4{x^2} + 5} \right)\\\end{aligned}$

Therefore, the perimeter of the pool is ${12x^2} + 15.$

The total perimeter of the pool edge $\boxed{12{x^2} + 15}$ .Option A is correct.

Option A is correct.

Option B is not correct.

Option C is not correct.

Option D is not correct.

Learn more:

Learn more about inverse of the function brainly.com/question/1632445.
Learn more about equation of circle brainly.com/question/1506955.
Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: Middle School

Subject: Mathematics

Chapter: Mensuration

Keywords: tile, edge, triangular, community pool, replaced, expression, total perimeter, pool edge, length, square, tile, polynomial expression, area, outermost tile, square tile, side of square, width, breadth, area of rectangle, dimension, measure of sides, dimensions of rectangle, expression, square.

7 0

4 years ago

Read 2 more answers

Michael bought a shirt with 2/5 of his money. Then he bought a jacket that cost $5 more than the shirt. He spent $105 altogether

TEA [102]

Answer:

vb hyjv bnhyn g

Step-by-step explanation:

8 0

3 years ago

Hey can anyone please help me with these t questions asap?

rosijanka [135]

Answer:

21) 27

22) 2 (the third one has a few people in it)

Step-by-step explanation:

9 dozen= 12 to a dozen

108

=27

4 0

3 years ago

Read 2 more answers

The hypothesis H0: \mu=350H 0 : μ = 350 versus H_a:\mu<350H a : μ < 350 are examined using a sample of size n = 20. The on

Zolol [24]

Answer:

The statistic for this case is given $t =-1.68$

The degrees of freedom are given by:

$df =n-1= 20-1=19$

Since is a one-side lower test the p value would given by:

$p_v =P(t_{19}$

Step-by-step explanation:

Data given and notation

$\bar X$ represent the sample mean

$s$ represent the sample standard deviation

$n=20$ sample size

$\mu_o =350$ represent the value that we want to test

$\alpha$ represent the significance level for the hypothesis test.

z would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean is lower than 350, the system of hypothesis are :

Null hypothesis: $\mu \geq 350$

Alternative hypothesis: $\mu < 350$

Since we don't know the population deviation, is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

The statistic for this case is given $t =-1.68$

P-value

The degrees of freedom are given by:

$df =n-1= 20-1=19$

Since is a one-side lower test the p value would given by:

$p_v =P(t_{19}$

5 0

3 years ago