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Answer:

1. continuous random variable

2. not a random variable

3. a continuous random variable

Step-by-step explanation:

The classifications are as follow

a)  The height of the player reported in the game day program is treated as a continuous random variable as these values could be determined through measuring them

b)  The color of student car is not a random variable as it does not contain any quantitative data or we can say numerical data

c)  The exact weight of the bag is a continuous variable as it is lie between the range

The measure of Angle C is approximately 26°.

A, B, C are vertices of a triangle, where AB = 8 cm, BC = 6 cm. To determine the measure of angle C, we need to use the cosine rule.

The cosine rule states that the square of one side of a triangle is equal to the sum of the squares of the other two sides minus twice the product of the other two sides and the cosine of the angle between them.

Mathematically, we can represent it as follows:a² = b² + c² - 2bc cos(A)where a is the side opposite to angle A, b is the side opposite to angle B, c is the side opposite to angle C.

In this case, we have AB = c = 8 cm, BC = a = 6 cm, and AC = b. We need to find the measure of angle C, which is represented as cos(C).

Using the cosine rule, we can write the equation as follows:$$\begin{aligned} b^2 &= c^2 + a^2 - 2ca\cos(C) \\ \Right arrow b^2 &= 8^2 + 6^2 - 2 \times 8 \times 6 \cos(C) \\ \Right arrow b^2 &= 64 + 36 - 96 \cos(C) \\ \Right arrow b^2 &= 100 - 96 \cos(C) \end{aligned}$$We know that b is a positive length. Hence, b² > 0 or 100 - 96 cos(C) > 0. Solving for cos(C),  

we get: cos(C) < 100/96cos(C) < 1.0417Using a calculator, we can determine the inverse cosine of 1.0417 as:cos⁻¹(1.0417) = 0.4569 radians = 26.201° (rounded to the nearest degree)

Therefore, the measure of angle C is approximately 26°.

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The domain and range of the graph above in interval notation include the following:

Domain = [-6, 3]

Range = [-3, 3]

In Mathematics and Geometry, a domain refers to the set of all real numbers (x-values) for which a particular function (equation) is defined.

In Mathematics and Geometry, the horizontal portion of any graph is used to represent all domain values and they are both read and written from smaller to larger numerical values, which simply means from the left of any graph to the right.

By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following domain and range:

Domain = [-6, 3] or -6 ≤ x < 3.

Range = [-3, 3] or -3 < y < 3

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The function g(x) = 4x² - 28x + 49 can be rewritten as g(x) = 4(x - 7/2)² - 147 after completing the square.

To complete the square for the function g(x) = 4x² - 28x + 49, we follow these steps:

Step 1: Divide the coefficient of x by 2 and square the result.

  (Coefficient of x) / 2 = -28/2 = -14

  (-14)² = 196

Step 2: Add and subtract the value obtained in Step 1 inside the parentheses.

  g(x) = 4x² - 28x + 49

  = 4x² - 28x + 196 - 196 + 49

Step 3: Rearrange the terms and factor the perfect square trinomial.

  g(x) = (4x² - 28x + 196) - 196 + 49

  = 4(x² - 7x + 49) - 147

  = 4(x² - 7x + 49) - 147

Step 4: Write the perfect square trinomial as the square of a binomial.

  g(x) = 4(x - 7/2)² - 147

Therefore, the function g(x) = 4x² - 28x + 49 can be rewritten as g(x) = 4(x - 7/2)² - 147 after completing the square.

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The probable question may be:

Rewrite the function by completing the square.

g(x)=4x²-28x +49

g(x)= ____  (x+___ )²+____.

Step-by-step explanation:

hope it helps you see the attachment for further information

Answer: look at the picture and I can’t solve y for you.

Step-by-step explanation: Hope this help :D

Answer:

To calculate the average annual percentage gain, we need to use the formula:

Average annual percentage gain = ((Ending value / Beginning value)^(1/n) - 1) x 100%

where:

- Ending value = the value of the investment at the end of the period

- Beginning value = the value of the investment at the beginning of the period

- n = the number of years

In this case, the beginning value of the stocks is not given, so we cannot calculate the exact average annual percentage gain. We only know the profit and the ending value. However, we can make an estimate assuming that the profit is equal to the gain, i.e., there were no transaction costs or other fees.

If the profit was $3,250 and the ending value was $10,500, then the beginning value was:

Beginning value = Ending value - Profit

Beginning value = $10,500 - $3,250

Beginning value = $7,250

The number of years is given as 4.

Using the formula above, we can estimate the average annual percentage gain as:

((10,500 / 7,250)^(1/4) - 1) x 100%

= (1.1267^(0.25) - 1) x 100%

= (1.0266 - 1) x 100%

= 0.0266 x 100%

= 2.66%

Therefore, the estimated average annual percentage gain is 2.66%.

Step-by-step explanation:

Answer:

No, the function is not of x.

Step-by-step explanation:

Answer:

Unlabeled side length = 15.00 units

Step-by-step explanation:

Because this is a right triangle, we can find the unlabeled side length using the Pythagorean theorem, which is

a^2 + b^2 = c^2, where

In the triangle, we're given that the legs are 12 and 9 units and the unlabeled side is the hypotenuse, which we must find:

Step 1:  Plug in 12 for a and 9 for b and simplify:

12^2 + 9^2 = c^2

144 + 81 = c^2

225 = c^2

Step 2:  Take the square root of both sides to solve for c, the hypotenuse (aka the unlabeled side):

± √225 = √(c)^2

± 15 = c

15.00 units = c

Although taking the square root of a number produced both a positive and negative answer since squaring both a positive and negative answer gives us a positive answer (e..g, 15 * 15 = 225 and -15 * -15 = 225), you can't have a negative measure.  Therefore, c, the unlabeled side length = 15.00 units.

Answer:

12/13

Step-by-step explanation:

First we must calculate the hypotenus using the pythagoran theorem

Now let's calculate sin0

So the exact value is 12/13

Answer:

C.) 12/13

Step-by-step explanation:

In a right angle triangle MN = 12, ON = 5 and; angle N = 90°

Now,

For hypotenuse we will use Pythagorean Theorem

(MO)² = (MN)² + (ON)²

(MO)² = (12)² + (5)²

(MO)² = 144 + 25

(MO)² = 169

MO = √169

MO = 13

now,

Sin O = opp÷hyp = 12÷13

9514 1404 393

Answer:

  C.  √((5-9)² +(1+6)²)

Step-by-step explanation:

The distance formula can be written ...

  d = √((x1 -x2)² +(y1 -y2)²)

Filling in the given point coordinates, this becomes ...

  d = √((5 -9)² +(1 -(-6))²)

Simplifying the signs, this becomes ...

  d = √((5 -9)² +(1 +6)²) . . . . . matches choice C

A personal example of a measurement I use routinely is converting weight from U.S. customary units to metric units. Let's convert pounds to kilograms.

To convert pounds to kilograms, we use the conversion factor of 1 pound = 0.453592 kilograms.

For example, if I have a weight of 150 pounds, I can calculate the equivalent weight in kilograms as follows:

150 pounds * 0.453592 kilograms/pound = 68.0388 kilograms

Therefore, 150 pounds is approximately equal to 68.0388 kilograms.

In this conversion, we multiply the weight in pounds by the conversion factor to obtain the weight in kilograms. By using the appropriate conversion factor, we can accurately convert weights from U.S. customary units to metric units.

It's important to note that conversion factors may vary slightly depending on the rounding used and the exact value of the conversion factor.

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Complete Question:

The correlation between years of education and salary in a sample of 20 people from a certain company is .4. Is this correlation statistically significant at the .05 level?

Answer:

We accept \(H_o\) hence no significant  evidence

Step-by-step explanation:

From the question we are told that

sample correlation n= 20

population correlation  = 4

level of significance \(\alpha =0.05\)

Generally we are task to understand existing difference between  sample correlation and population correlation

Generally null hypothesis  is given by \(H_o : p=0\)

alternative hypothesis \(H1_1 : p\neq 0\)

generaly the mathematical representation of test statics

        \(t= r\sqrt{\frac{n-2}{1-r^2} }\)

        \(t= 0.04\sqrt{\frac{20-2}{1-0.4^2} }\)

        \(t= 1.85\)

Generally for table the p value is given by \(p= 0.08056\)

p value > the null hypothesis

Therefore

We accept \(H_o\) hence no significant  evidence

y=-2x+5 is the slope-intercept equation for a line that goes through the point (4,-3) and 5 is the value of b.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

We have to find the slope-intercept equation for a line that goes through the point (4,-3)--with a slope of -2

m=-2

Now let us find the y intercept

-3=-2(4)+b

-3=-8+b

-3+8=b

5=b

Hence, y=-2x+5 is the slope-intercept equation for a line that goes through the point (4,-3) and 5 is the value of b.

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Answer:

...

Step-by-step explanation:

Answer: 5th week

Step-by-step explanation:

E= -12w+568

520= -12w+568

520+12w=568

12w=48

w=4

4+1=5th week

Answer:

Step-by-step explanation:

Target number is 1758

Produced in 6  days:

Remaining to produce:

Days left- 4

Should produce per day:

The equivalent of the radical  expression √(100p⁴z⁸) is

10p²z⁴

The given expression √(100p⁴z⁸) is first rewritten in exponents form

Writing in exponents form

= √(100p⁴z⁸)

= (100p⁴z⁸)^1/2

multiplying through

= 100^1/2 * p^(4 * 1/2) * z^(8 * 1/2)

noting that √100 = 100^1/2 = 10

= 10 * p^(2) * z^(4)

= 10p²z⁴

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Answer:

which one do you did help on

1. 3

29-9=19

13+9=22

22-19=3

I don't know number 2, sorry.

Answer: Intercept of the equation = (9,0)

Charge remaining in Lauren's battery is 0 after 9 hours( since Lauren left her house)

Step-by-step explanation:

Given: When t= the number of hours since Lauren left her house, the charge remaining in Lauren's battery, as a percentage, can be modeled by the equation B=63-7t .

To find the x-intercept, put B =0  (as x denoted the independent variable , here independent variable is 't')

Hence, the x-intercept of the equation = (9,0)

i.e. Charge remaining in Lauren's battery is 0 after 9 hours( since Lauren left her house)

Given

To find

we know that

Inserting the value of radius

Step-by-step explanation:

the true answers are:

A. f(-1)=6

D. the domain for f(x) is the set

{-2,-1,0,1,2,3,4,5,6}

As per the given percentage,

a) Commission base in the sales base is $1400

b) Commission on additional sales is $2695

c) Gross pay is $4095.

Percentage:

Percentage is a number or ratio that can be expressed as a fraction of 100.

If we want to calculate percent of a number, divide the number by the whole and multiply by 100.

It can be represented using the symbol (%).

Given,

Bartlett Electronics pays all sales representatives 4% commission on the first $35,000 of their individual sales and 7% commission on their individual sales in excess of $35,000.

John Morgan sold merchandise valued at $73,500 during the month of November.

Here we need to find the following:

a) Commission on sales in the sales base

b) Commission on additional sales

c) Gross pay

a) Commission on sales in the sales base

So, based on the percentage the commission is,

=> 35,000 x 4/100

=> 35,000 x 0.04

=> 1400

b) Commission on additional sales

For this one, first we have to calculate the additional sales amount,

That can be calculated as,

=> 73,500 - 35,000

=> 38,500

Now, the commission is,

=> 38,500 x 7/100

=> 38,500 x 0.07

=> 2695.

c) Now the gross pay for John is,

=> 1400 + 2695

=> 4095

Therefore, the gross pay is $4095.

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Answer:

the answer is c .113r10 try the app math

Answer:

Integers are not closed under the DIVISION operation

Example:

(9 ÷ 2 = 4½)