17. AMUSEMENT PARK The graph shows the
relationship between the number of Fun
Pass tickets sold and the total value of the
sales. Use the graph to estimate the x- and
y-intercepts of the function, where the
function is positive and negative, and
interpret the meanings in the context of the
situation. (Lesson 2-3)
Fun Pass Sales
(hundreds of $)
Value of Sales
25
20
15
10
O
20 40 60 80 100
Number Sold

Answer: 80 degrees because a line is 180°.

So if you subtract

180 - 100 = 80°

Answer:

x=80°

Step-by-step explanation:

The measures of angle x and the 100° angle form a straight angle.

This straight angle is 180°.

You can subtract the measure of one angle from the whole to find the measure of the other angle.

180°-100°=80°

This means angle x is 80°.

These forecasts illustrate bias.

Therefore, these forecasts illustrate bias.

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The sum of the masses of earth and its moon is 6.07 * 10^24kg

Scientific values are values expressed in the form A * 10^n

where

A is any value between 1 and 10

n is any integer

Given the following

Mass of earth = 6 *10^24kg

Mass of moon. = 7 *10^22kg

Take the sum

Sum = 600 * 10^22 + 7 * 10^22

Sum = 607 * 10^22

Sum = 6.07 * 10^24

Hence the sum of the masses of earth and its moon is 6.07 * 10^24kg

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Answer:

The 5 is in the thousandths place.  

825/1000

Step-by-step explanation:

Simplified this would be 33/40

825/1000  Divide the top and bottom by 25

Answer:

on what nothing there

Step-by-step explanation:

Answer: Number of students out of 300 who will attend sports class are 200.

Step-by-step explanation:

Let x be no. of students in 300 students who have sports practice;

Mr McGee found that 6 students out of 9 in his class have a sports practice today.

so according to ratio and proportions we have:

6/9=x/300

by cross multiplying 300 on left hand side we have ;

x=200 students

So

number of students out of 300 who will attend sports class are 200.

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Answer:

Step-by-step explanation: Based on the given condition, formulate :

          multiply total students with 6

      6×300 =1800

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Answer:

1) 6a

2) 8

3) 18a

Step-by-step explanation:

1) [tex] \sf {2a}^{ - 1} \times {3a}^{2} [/tex]

Simplify using exponent rule with the same base

[tex] \sf \: 2 \times {3a}^{ - 1 + 2} [/tex]

Multiply the monomials

[tex] \sf \: 6a {}^{ - 1 + 2} [/tex]

Calculate the sum or difference.

[tex] \sf \: {6a}^{1} [/tex]

Calculate the power

[tex] \sf \: 6a[/tex]

2) [tex] \sf( \frac{1}{2} ) {}^{ - 3} [/tex]

simplify using negative exponents rule [tex] \sf {a}^{-n} = \frac{1}{{a}^{n}} [/tex]

[tex] \sf {2}^{3} [/tex]

calculate the power

[tex] \sf \: 8[/tex]

3) [tex] \sf {2a}^{ - 1} \times {(3a)}^{2} [/tex]

Simplify using exponents rule with the same exponent

[tex] \sf {2a}^{-1} × {3}^{2} × {a}^{2}[/tex]

Simplify using exponents rule with the same base a ^ n + a ^m = a ^n+m

[tex] \sf 2×{3}^{2} ×{a}^{-1+2} [/tex]

Calculate the power

[tex] \sf 2 × 9a {}^{-1+2}[/tex]

[tex] \sf 18a[/tex]

2(I) We round a number to three significant figures in the same way that we would round to three decimal places. We count from the first non-zero digit for three digits. We then round the last digit. We fill in any remaining places to the right of the decimal point with zeros.

8348 = 8350(rounded to 3 SF)

2(ii) 0.00796 = 0.0080

2(II) 6.329 = 6

2(III) 0.05684 = 0.0568

Step-by-step explanation:

1.i

2a^-1 × 3a²

remember, when we multiply factors with the same base value or variable, we keep that base value or variable and simply add the exponents.

-1 + 2 = 1

so, we get

2×3 × a¹ = 6a

1.ii

(1/2)^-3

remember, the "-" on the exponent just means 1/...

so, it is actually

1 / (1/2)³ = 1 / 1/8 = 8

1.iii

2a^-1 × (3a)²

similar to the first one, but remember, when we put the product of factors to a certain power, we need to do this for every factor of the inner multiplication :

2a^-1 × 9a² = 2×9 × a¹ = 18a

2.

the first significant figure is the first digit in the number reading from the left, that is not 0. it can be before or after the decimal point.

any digit (now continuing to read further to the right) after the first significant figure is again a significant figure even if it is 0.

i.

8.348 is rounded to 3 significant figures : 8.35

ii.

0.00796 is rounded to 2 significant figures :

0.0080 or 0.008 (because if the last digit after the decimal point is a 0, we can ignore it).

iii.

6.329 is rounded to 1 decimal place : 6.3

iv.

0.05684 is rounded to 3 decimal places : 0.057

3.

the sum of interior angles in a polygon is (n − 2) × 180°. where n is the number of sides.

as deca stands for 10, a decagon has 10 sides and 10 vertexes.

the sum of its inner angles is

(10 - 2) × 180° = 8 × 180° = 1440°

1170° of that is already covered by the first 7 angles.

so, we have left

1440 - 1170 = 270°

for the remaining 3 angles (that are all equal).

so,

270 = 3×angle

angle = 270/3 = 90°.

so, all of the 3 remaining angles are 90°.

Answer:

1. 15          2. 30

Step-by-step explanation:

1. (2/5)x = 20

20/(2/5) = x

x = 50

50 × (3/10) = 15

2.  (2/3)y = 24

24/(2/3) = y

y = 36

36 × (5/6) = 30

Answer: Y= 1x + 0

Y=mx+b

To establish whether findings from a sample may be extrapolated to the entire population, we use inferential statistics.

A population is the total group about which you want to reach conclusions. A sample is the specific group from which you will collect data. Always, the sample size is less than the whole population. The term "population" in research rarely refers to people. Using an office as an example, all of the employees would represent the Population, and all of the managers would represent the Sample. To create a comparison, picture your population as an ocean, and your sample as an aquarium.

Inferential statistics is a branch of statistics that uses data to draw inferences and generalizations about a certain situation or fact.

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Answer:

1.73 repeated

Step-by-step explanation:

The solution to the inequality where the inequality expression is given as: -1 < x + 3 < 5 is -4 < x < 2

The inequality expression is given as:

-1 < x + 3 < 5

Subtract 3 from all parts of the inequality expression

So, we have:

-3 -1 < x + 3 -3 < 5 - 3

Evaluate the difference and sum

So, we have:

-4 < x < 2

Hence, the solution to the inequality where the inequality expression is given as: -1 < x + 3 < 5 is -4 < x < 2

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Justin should have multiplied 3.8 and 7.9 first

He is trying to evaluate the expression 12.5 + 3.8x, when x = 7.9.

This was Justin solution to the expression

12.5 + 3.8(7.9)

16.3(7.9)

128.77

Now let's do our own arithmetic,

12.5 + 3.8x

we have to substitute the value of x in the equation.

12.5 + 3.8(7.9)

Using PEMDAS principle, we have to multiply before addition.

Therefore,

12.5 + 3.8(7.9)

12.5 + 30.02

42.52

Hence, Justin should have multiplied 3.8 and 7.9 first

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Answer:

Pretty sure it’s x>12

Step-by-step explanation:

Answer x > 12

thats the whole thing

Answer:

D. Fail to reject the null hypothesis. There is enough evidence to oppose the gaming company's claim.

Step-by-step explanation:

Let μ = mean time to complete a role-playing game.

The company claims that their role-playing games take over 65 hours to complete, so the hypotheses are:

H₀: μ = 65       H₁: μ > 65

Therefore, this is a one-tailed test.

The significance level is 1%, so α = 0.01.

Find the value of the test statistic (z):

[tex]\textsf{sample mean }\overline{x}=63,\quad \sigma=10, \quad n=300[/tex]

[tex]\implies z=\dfrac{\overline{x}-\mu}{\sigma / \sqrt{n}}=\dfrac{63-65}{10 / \sqrt{300}}=-2\sqrt{3}=-3.4641...[/tex]

Using the “Percentage Points of The Normal Distribution” table, the critical value is z = 2.3263 meaning the critical region is Z > 2.3263.

Since z = -3.4641... < 2.3263, the observed value of the test statistic lies outside the critical region.  Therefore, the result is not significant.

Conclusion

There is sufficient evidence at the 1% level of significance to fail to reject H₀ and to oppose the alternative hypothesis that the mean time to complete the role-playing game is more than 65 hours.

Answer:

A) Reject the null hypothesis. There is enough evidence to oppose the gaming company's claim.

Step-by-step explanation:

The test statistic needs to fall within the rejection regions that are above and below the critical z-score associated with a 1% level of significance in order to reject the null hypothesis. Otherwise, we will fail to reject the null hypothesis.

Step-by-step explanation:

Fact 1: Alternate angles are equal.

Angles, (5x-11)° and (3x+17)° are ALTERNATE angles and so,

(5x-11)° = (3x+17)°

5x - 3x = 17 + 11

2x = 28

x = 28 ÷ 2

x = 14

NB: x does NOT have the degree sign because it's NOT an angle on its own, but rather within the bracket/part of the calculation to get the angle degree.

Fact 2: Opposite angles are equal.

Y° and (3x+17)° are OPPOSITE angles

y = (3x+17)°

y = (3x14) + 17

y= 42 + 17

y = 59°

Hope this helps!

Answer:

4000inches

Step-by-step explanation:

1000*4 = 4000inches

Answer: 4,000 inches

Step-by-step explanation:

this is because 4 times 1000 is 4000 so the Hyperion tree would be 4000 inches tall

Answer:

Step-by-step explanation: Step 1: Make a table of that equation suppose x = 7. You can consider it like x+y = 7 in which x = will be 7 only and y will become 0.
Step 2:  To answer this on a graph.. make all four quadrants and mark the coordinates such a the value of x = 7 should lie on the x-axis and y = 0 lies on the y-axis.
Step 3: Draw a straight line at the coordinates you got which were (7,0)

Here you go :)

Answer:

=> 7+u = 14; u = 7

Step-by-step explanation:

The sum of 7 and u is 14

=> u + 7 = 14

=> u = 14-7

=> u = 7

Answer:

7.8 rupees

Step-by-step explanation:

Answer: I think its 4

Step-by-step explanation: because 4+9=13

Check the picture below.

Answer:

Step-by-step explanation:

This is just a complicated method to do ratios and proportions

use the given x and y values and the ratio will be determined by k.

Then use that k and the second x value to find y.

-8 = k(20)

k = -2/5

Next part

y = (-2/5)(-4)

y = 1.6

A = 2p and B = 1/p  are the values of a and b.

What does math division mean?

To divide this,

[tex]\frac{6p^{2} }{3p} = 2p[/tex]

Multiplying back through, we have

[tex]3p * 2p = 6p^{2}[/tex]

Subtracting this from the first term under the box, we have

[tex]6p^{2} - 6p^{2} = 0[/tex]

Bring down the next term, 9p.

See how many times 3p goes into 9p = 9p/3p = 3

Multiplying back through, we have 3(3p) = 9p.  

Subtract this from the line above; 9p-9p = 0.  

Bring down the last term, 3.  

Since this is not 0, this is the remainder.  

This gives us

2p + 3 R 3;

writing this as a rational expression, we have

2p + 3 + 3/3p

The remainder term 3/3p will simplify to 1/1p or 1/p;

this gives us

2p + 3 + 1/p

Therefore, the answer is  A = 2p and B = 1/p

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