5. Identify whether each unit measures length, volume, or weight (or mass).
1.
Mile
Cup.
Pound
Centimeter
2.
3.
4.
5.
Liter
6.
Gram
7.
Pint
8.
Yard
9. Kilogram
10. Teaspoon,
11. Milliliter

Verify each statement

A) If Cole tutors 5 hours,he will be paid $40------>



B) If Cole tutors 3 hours he will be paid $24



C) If Cole tutors 7 hours he will be paid $64



D) If Cole tutors 4 hours he will be paid $32

Null hypothesis, [tex]H_{0}[/tex] P.1 = P2 (The proportion of tablets owned by men and women are equal.)

Alternative hypothesis,[tex]H_{0}[/tex]  P1[tex]\neq[/tex]P2 (The proportion of tablets owned by men and women are not equal.)

Sample proportion for men who own tablets  ≈0.433

Sample proportion for women who own tablets ≈0.466

p value of the test  is 0.3320.

Test whether the survey results provide evidence of a difference in the proportion owning a tablet between men and women.

Let p, be the proportion of all men who own tablets and p, be the proportion of all women who own tablets.

Null hypothesis, [tex]H_{0}[/tex] P.1 = P2 (The proportion of tablets owned by men and women are equal.)

Alternative hypothesis,[tex]H_{0}[/tex]  P1[tex]\neq[/tex]P2 (The proportion of tablets owned by men and women are not equal.)

The notations for the sample statistic are  p p1 p2

Pooled proportion p = [tex]\frac{x_{1}+x_{2} }{n_{1}+n_{2} }[/tex]= 197+235/455+504

                                               ≈ 0.45

Sample proportion for men who own tablets,

                               p1 = [tex]\frac{x_{1} }{n_{1} }[/tex]= 197/455

                                           ≈0.433

Sample proportion for women who own tablets,

                              p2 = [tex]\frac{x_{2} }{n_{2} }[/tex] = 235/506

                                          ≈0.466

Since p1<p2  women group has higher tablet ownership.

Sample statistic, p1-p2

                          = 0.433-0.466

p value of the test  is 0.3320.

In mathematics, statistics deals with the study of surveys and reports of numerical data. For questions, we need to define a hypothesis. In general, there are two types of hypotheses. One is the null hypothesis and the other is the alternative hypothesis.

In probability and statistics, the null hypothesis is the general statement or default state that  zero  or nothing will happen. For example, there is no association between groups or no association between two measured events. Here, a hypothesis is generally assumed to be true until  other evidence is presented to disprove the hypothesis.

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Answer:

3 months

Step-by-step explanation:

120 + 40m = 180 + 20m

Collect like terms

40m - 20m = 180 - 120

20m = 60

Divide

m = 60/20

m = 3

It will take them 3 months before Jaclyn and Pedro have saved the same amount of money.

Answer: m<1 = 146 degrees, m<3 =146 degrees, m<4 = 34 degrees

Step-by-step explanation:

Since m<2 and m<4 are vertical angles, they will be equal to each other.

By using straight lines, we can easily find out that m<1 = 180-34 = 146

Since m<1 and m<3 are vertical angles, they are equal to each other.

Hope this helped :))

If the baseball diamond at a playground is a square with sides that measure 80 feet. About how long would a straight line be from home plate to second base is: B.113.1 feet.

Given data

Sides measure in feet = 80 feet.

Since the  diagonal tend to forms the hypotenuse of a right triangle with both sides of 80 feet

Hence,

Using the Pythagoreans theorem to determine the distance

(80)² + (80)² = x²

6400 + 6400 = x²

x² = 12,800

x = √ 12,800

x = 113.1 feet

Therefore the correct option is B.

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The total number of ways the prizes are awarded is 8855.

The prizes for entrants in a young inventors competition are $100, $50, $25, and $10.

Which are of total 4 types of prizes.

If there are 23 entrants in the competition the prizes can be awarded in the following ways by using Combinations.

Total number of ways =  ²³C₄

                                    = [tex]\frac{23!}{4! * (23 - 4)!}[/tex]

                                    = 8855

The total number of ways the prizes are awarded is 8855.

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Rate of change of x with respect to [tex]\alpha[/tex] when [tex]\alpha =\frac{\pi }{3}[/tex] is 5ft/s.

Since the ladder is 10ft long resting against a vertical wall.

Let the angle between the top of the ladder and the wall is [tex]\alpha[/tex] .

And let the distance from the bottom of the ladder to the wall is x.

Thus we need to find the rate of change of x with respect to [tex]\alpha[/tex]  when [tex]\alpha =\frac{\pi }{3}[/tex]

Consider L to be the length of the ladder.

Then, L = 10ft

Thus, we get the relation between the angle and distance x i.e.

x = L [tex]\sin \alpha[/tex]

On differentiating the above equation,

[tex]\frac{dx}{dt} =L \cos \alpha[/tex]

Now after putting the values [tex]\alpha =\frac{\pi }{3}[/tex] in above equation, we get,

[tex]=(10)\cos(\frac{\pi }{3} )=(10)(\frac{1}{2} )=5[/tex]

Therefore, [tex]\frac{dx}{dt} =5[/tex] ft/s

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Answer: ∠BDG = 50°

Step-by-step explanation:

    We know that a straight line is equal to 180°, meaning that line CDF is 180°.

     Next, we know that angle CDB, angle BDG, and angle GDF should all add up to be 180°, since we know CDF is equal to 180°.

     Lastly, with all this information in mind, we will set up an equation and solve.

130° + BDG = 180°

∠BDG = 50°

Given:

The measure of angle of arrc SQ is 160°.

The measure of angle of arc PR is 102°.

The objective is to find the measure of angle x.

Since, the angle x is away from te center of the circle.

Then, the formula to find the value of angle x is,

Now, substitute the given values in the above formula.

Hence, the value of x is 131°.

Answer: say can't help

Step-by-step explanation:

Answer:The boat is traveling at a rate of 3 ft/s.

Step-by-step explanation:

Answer:

18.42

Explanation:

15+3=18

0.4+0.02=0.42

18+0.42=18.42

Im going to answer for the first one.So angles 1 and 2 are corresponding angles and so they are equal because line k and line p and parellel

Considering the sum and the product of the roots of the quadratic equation, it is found that the numeric value of the expression is given as follows:

[tex]\alpha + \beta = -2.5[/tex]

A quadratic equation is defined as follows:

[tex]y = ax^2 + bx + c, a \neq 0[/tex]

The roots of the equation are given as follows:

[tex]\alpha, \beta[/tex]

The sum of the roots is given as follows:

[tex]\alpha + \beta = -\frac{b}{a}[/tex]

The product of the roots is given as follows:

[tex]\alpha\beta = \frac{c}{a}[/tex]

In the context of this problem, the product is of 4, as [tex]\alpha\beta = 4[/tex] hence:

c/a = 4

c = 4a.

The coefficients are in an arithmetic progression, hence:

We have that c = 4a, hence:

4a = a + 2d

2d = 3a

d = 1.5a.

Hence coefficient b is calculated as follows:

b = a + d = a + 1.5a = 2.5a.

Then the sum of the roots is given as follows:

[tex]\alpha + \beta = -\frac{b}{a} = -\frac{2.5a}{a} = -2.5[/tex]

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Answer:

=========================

The triangle is isosceles as marked.

The two opposite angles of equal sides are equal, one of them is x and the angle in between them is 28°.

Use angle sum of the triangle:

Same as previous question, we have an isosceles triangle. Equal sides are:

Find the perimeter by substituting the value of x:

Answer:

10

Step-by-step explanation:

I am not absolutely sure but i think that is correct

Answer: n=7

Step-by-step explanation:

First distribute the numbers to get 5n+10=3+6n

Next Subtract 6n from both sides to get -n=10=3

Finally divide both sides my -1 to get rid of the -n to get n=7

Hope this helps :)

A low standard deviation implies that the data exists grouped around the mean, whereas a large standard deviation indicates that the data exists  more dispersed.

The term "standard deviation" (or "σ") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data exists grouped around the mean, whereas a large standard deviation indicates that the data exists  more dispersed.

The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed throughout a wider range, a low standard deviation suggests that the values tend to be close to the established mean.

Because it aids in comprehending measurements when the data is scattered, standard deviation is significant. The standard deviation of the data will be higher the more evenly dispersed the data is.

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The average rate of change when x increases from -3 to 5 is given as follows:

r = (f(5) - f(-3))/8.

The average rate of change of a function is given by the change in the output divided by the change in the input. Hence, over an interval [a,b], the average rate of change is given by the fraction presented as follows:

[tex]r = \frac{f(b) - f(a)}{b - a}[/tex]

In the context of this problem, the input x increases by -3 to 5, hence the change in the input is given as follows:

b - a = 5 - (-3) = 5 + 3 = 8.

The change in the output is given as follows:

f(b) - f(a).

(the problem is incomplete hence the answer is given in general terms).

Then the average rate of change of the function when x increases from -3 to 5 is given as follows:

r = (f(5) - f(-3))/8.

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Answer:

3

Step-by-step explanation:

In this problem the diagonal of the Tv is 19 and the hight is 11 so we can use the pythagorical theorem to find the width (w) so:

and we solve for w so

The most appropriate choice for trigonometry will be given by -

Angle between beam and road is 0.33°

What is Trigonometry?

Trigonometry shows the relationship between sides and angles of a right angled triangle.

There are six trigonometrical functions. They are [tex]sin\theta, cos\theta, tan\theta, cos\theta, sec\theta, cosec\theta[/tex]

[tex]sin\theta = \frac{perpendicular}{hypotenuse}\\\\cos\theta = \frac{base}{hypotenuse}\\\\tan\theta = \frac{perpendicular}{base}\\\\cot\theta = \frac{base}{perpendicular}\\\\sec\theta = \frac{hypotenuse}{base}\\\\cosec\theta = \frac{hypotenuse}{perpendicular}\\[/tex]

Trigonometry is a very important tool in mathematics.

Here,

The headlights of an automobile are set such that the beam drops 2.00 in. for each 28.0 ft in front of the car.

According to the figure attached here, 2.0 inch forms the height of the triangle and 28.0 ft forms the base of the triangle

Let the angle be [tex]\theta[/tex]. Now trigonometry is applied here

[tex]tan\theta = \frac{\frac{2}{12}}{28}\\tan\theta = \frac{1}{6 \times 28}\\tan\theta = \frac{1}{168}\\\theta = tan^{-1}\frac{1}{168}\\\theta = 0.33^{\circ}[/tex]

Angle between beam and road is 0.33°

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Answer:He biked for 3 hours (48 miles)

He ran for 1.5 hours (13.5 miles)

He swam for 1 hour (2.5 miles)

He covered 62 miles in 5.5 hours of activity

Step-by-step explanation:

Answer:

1.5h

Step-by-step explanation:

Explanation:

The coordinates are given below are

The image is given below as

To calculate the coordinate of A,we will use the formula below

By substituting the values, we will have

Hence,

The coordinate of B will be

First, let's find the total cost of all the apples:

Now, we divide this by the total amount of apples bought. In our case, we know that there were 10 Granny Smith apples and 15 Golden Delicious, for a total of 25 apples.

Therfore, we can conclude that the average cost per apple was $0.68

Using equations the weight of both Sean and Brad is 156 lbs and 73 lbs.

So, the weight of Sean and Brad.

So, the equation will become:

x + 2x + 10 = 230

Now, solve this equation for 'x' as follows:

Rounding off: 73 lbs

Then,

Therefore, using equations the weight of both Sean and Brad is 156 lbs and 73 lbs.

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To solve this problem we change the structure from

1/2 + ? = 7/8

to

7/8 - 1/2 = ?

Now we need to subtract the fractions and find the difference. To do this, make the denominators (the bottom numbers on the fractions) the same.

1/2 = 4/8

then subtracts the numerator

7/8 - 4/8 = 3/8

there is your answer... 3/8

The area of a rectangular backyard = 2(4x - 5y)

The algebraic expression has a equivalent expression as = 2 x 4x + 2 x 5y

= 8x + 10y