Y = f(x) = -3^x Find fx) when x = 0.

John can jog twice as fast as he can walk. He was able to jog the first 5 miles to his grandmothers house, but the he tired and

Arte-miy333 [17]

Formula for speed = distance/ time
S = 7/.9 = 7.77 miles per hour or 8 mph if you round up.

8 0

3 years ago

What are the coordinates of the point (2, −3) after a counterclockwise rotation of 90° about the origin?

Katen [24]

Answer:

(2,-3) changes to (3,2)

A is correct.

Step-by-step explanation:

Given: The point (2, −3) after a counterclockwise rotation of 90° about the origin.

$R_{90\circ}(x,y)\rightarrow (-y,x)$

Rotation is counterclockwise about origin.

$(x,y)\rightarrow (-y,x)$

We are given coordinate

$(2,-3)\rightarrow (3,2)$

We can see in diagram also. Please see the attachment for rotation.

Hence, (2,-3) changes to (3,2)

5 0

3 years ago

Read 2 more answers

!!!URGENT!!!

Vikentia [17]

Answer:

A IS LESS THAN OR EQUAL TO 8

Step-by-step explanatiAon:

8 0

3 years ago

Convert 25/8 into a mixed number

motikmotik

Changing improper fractions to mixed form or mixed numbers is a very simple thing. You just have to follow the following:
Then write Let us have 25/8. 
1. Divide the numerator (top number) by the denominator (number below the bar). Simply divide 25 by 8. 25 ÷ 8 = n
We can have 3 and 1 as a remainder. So, the answer will be 3 and 1/8. 

2. Write down the whole number answer.
Since we have 3 as the whole number answer, write it down. And; 

3. Write down any remainder above the denominator, like this: 3 and 1 (remainder) over 8 (denominator of the given improper fraction). That is, 3 1/8

3 0

4 years ago

Suppose that scores on a knowledge test are normally distributed with a mean of 60 and a standard deviation of 4.3. Scores on an

Sphinxa [80]

Question:

(c) Boris also took a logic test. His z-score on that test was +0.93 . Does this change the answer to which test Boris performed better on? Explain your answer using z-scores.

Answer:

The answers to the questions are;

(a) Based on the z score, Boris perform better on his aptitude test.

(b) Based on the z score, Callie perform better on his knowledge test .

(c) For Boris since +0.93 = $z_{logic}$ > $z_{knowledge}$ > $z_{aptitude}$

Yes as Boris now performed best on the logic test.

Step-by-step explanation:

The z-score of a score is a measurement of the score withe respect to its distance from the mean as a factor of the standard deviation.

To solve the question, we note that we are required to find the z score as follows.

z score is given by $z = \frac{x -\mu}{\sigma}$

Where:

z = Standard score

x = Score

σ = Standard deviation

μ = Mean

(a) To find out which test did Boris performed better usin z score, we have

Boris scored a

57 on the knowledge test and

106 on the aptitude test

Therefore the z sore for the knowledge test is

$z = \frac{x -\mu}{\sigma}$

Here

x = 57

μ = 60

σ = 4.3

Therefore

$z_{knowledge} = \frac{57 -60}{4.3}$ = -3/4.3 = -30/43 = -0.6977

The z sore for Boris on the aptitude test is

Here

x = 106

μ = 110

σ = 7.1

$z_{aptitude} = \frac{106 -110}{7.1}$ = -40/17 = -0.5634

Based on the z score, Boris perform better on the aptitude test as his z score is higher (on the number line), --0.5634, compared to the z score on the knowledge test , -0.6977

(b) For Callie we have

Callie scored a

63 on the knowledge test and

114 on the aptitude test

Therefore the z sore for the knowledge test is

$z = \frac{x -\mu}{\sigma}$

Here

x = 63

μ = 60

σ = 4.3

Therefore

$z_{knowledge} = \frac{63 -60}{4.3}$ = 3/4.3 = 30/43 = 0.6977

The z sore for Callie on the aptitude test is

Here

x = 114

μ = 110

σ = 7.1

$z_{aptitude} = \frac{114 -110}{7.1}$ = 40/17 = 0.5634

Based on the z score, Callie perform better on the knowledge test as his z score is higher (on the number line), 0.6977, compared to the z score on the aptitude test , 0.5634.

(c) If $z_{logic}$ = +0.93 then sinc for Boris $z_{knowledge}$ = -0.6977 and

$z_{aptitude}$ = - 0.5634 then

$z_{logic}$ > $z_{knowledge}$ > $z_{aptitude}$

Therefore Boris now performed best on the logic test.

6 0

3 years ago