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3 years ago

Coefficient of 24x+32+4x+3

Mathematics

1 answer:

coldgirl [10]3 years ago

6 0

Firstly, you can combine like terms, or terms that have the same variable and exponents.

24x and 4x both have the variable "x" so it can be combined to make 28x

A coefficient is basically just the number that's used to multiply the variable

In this case, the variable is "x" and the number that will be multiplied to x is 28.

<em>The coefficient is 28.</em>

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A health psychologist knew that corporate executives in general have an average score of 2.55 with a standard deviation of 0.5 o

Mumz [18]

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Population mean (μ) = 2.55

Population standard deviation (σ) = 0.5

Sample size (n) = 30

Sample mean (x) = 2.76

α = 0.05

STEP 1:

Stress score in general executive (s1)

Stress score in exercising executive (s2)

Null : s1 = s2

Alternative : s1 < s2

STEP 2:

Shape of distribution = normal

Population mean (μ) = 2.55

Population standard deviation (σ) = 0.5

Sample size (n) = 30

Sample mean (x) = 2.76

α = 0.05

Decision rule :

α = 0.05 which corresponds to a t score (t0) ;

df = n - 1 = 30 - 1= 30 at 0.05 = 1.699

If :

(Test statistic (t) > t0) ; reject the Null

(right tailed test)

Test statistic (t) :

(x - μ) / (σ/√n)

(2.76 - 2.55) / (0.5/√30)

0.21 / 0.0913

= 2.30

t > t0

2.30 > 1.699

t is more extreme than t0

Hence, reject the null at α = 0.05

7 0

3 years ago

The wholesale price for a desk is $147 . A certain furniture store marks up the wholesale price by $30 . Find the price of the d

oee [108]

Answer:

$191.10

Step-by-step explanation:

N/A

8 0

3 years ago

A farmer decides to enclose a rectangular garden, using the side of a barn as one side of the rectangle. What is the maximum are

kifflom [539]

Garden
max area is if the sides are as equal as possible
so he should try to make a square (ideal is a circle, but barn walls are normally straight)
squaer perimiter=4 times legnth of 1 side
perimiter=amount of fencing=80
80=4s
divide 4
20=s
one sides=20

area=legnth times width
in squaer, legnth=width

20=legnth
20=width
area=20 times 20=400

dimetions are 20ft by 20ft to give 400ft^2
(fun fact, if it were a circle, the area would be about 509.5ft^2)

answer is 20ft by 20ft and area=400ft^2

7 0

3 years ago

Which of the following represents a Type I error for the null and alternative hypotheses H0:μ≤$3,200 and Ha:μ>$3,200, where μ

Nuetrik [128]

Answer:

Option a) Type I error would occur if we reject null hypothesis and conclude that the average amount is greater than $3,200 when in fact the average amount is $3,200 or less.

Step-by-step explanation:

We are given the following information in the question:

$H_{0}: \mu \leq \$3,200\\H_A: \mu > \$3,200$

where μ is the average amount of money in a savings account for a person aged 30 to 40.

Type I error:

Type I error is also known as a “false positive” and is the error of rejecting a null hypothesis when it is actually true.
In other words, this is the error of accepting an alternative hypothesis when the results can be attributed by null hypothesis.
A type I error occurs during the hypothesis testing process when a null hypothesis is rejected, even though it is correct and should not be rejected.

Thus, in the above hypothesis type error will occur when we reject the null hypothesis even when it is true.

Option a) Type I error would occur if we reject null hypothesis and conclude that the average amount is greater than $3,200 when in fact the average amount is $3,200 or less.

3 0

3 years ago

What are the coordinates of the terminal point for 8 = 330°?

galben [10]

Answer:

Step-by-step explanation:

If you plot this angle in the coordinate plane, you will find yourself in the fourth quadrant with a referencew angle of 30. Constructing the triangle from that reference angle and using the Pythagorean triple for a 30-60-90 triangle, you get that the side adjacent to the reference angle is √3, the side opposite the reference angle is a -1, and the hypotenuse (which is NEVER negative!) is 2. The x and y coordinates of the terminal point result from the cos (related to the x coordinate) and the sin (related to the y coordinate). The cos of 30:

$cos(30)=\frac{\sqrt{3} }{2}$ and the sin of 30:

$sin(30)=-\frac{1}{2}$ so the coordinates of the terminal point on that angle are

$(\frac{\sqrt{3} }{2},-\frac{1}{2})$

You could also just go to your unit circle, find the angle 330 and look at the coordiantes they give you there for (cos, sin). But I'm a high school math teacher so I wanted you to know how to find this outside of the unti circle. Cuz what if you lost it!?

5 0

2 years ago