Directions: Please choose ONE (you may answer all if you would like) question. Make sure to EXPLAIN your work. NO EXPLANATION=NO FULL CREDIT



Is the table proportional? Explain why or why
not.
If it is proportional, what is the constant of
proportionality?
What is the equation?

Answer: 6

Step-by-step explanation:

Answer:

The answer is :60

Step-by-step explanation:

Hmmmm...... because

Answer:

The expression is simplified to:

15/(c^8)

Step-by-step explanation:

I have attached an image to make the question clearer.

15c^(-8)d^(0).

Using the zero exponent property (a^0 = 1),

d^0 = 1. Therefore we have:

15c^(-8)(1) = 15c^(-8).

Using the negative exponent rule [a^(-r) = 1/(a^r)],

c^(-8) = 1/(c^8). Therefore we have:

15 x 1/(c^8) = 15/(c^8).

Therefore, The expression is simplified to: 15/(c^8).

Answer: x = -2

Step-by-step explanation:

first, we move the constant to the right.

3x = -7 + 1

then, we calculate that.

3x = -6

finally, we divide both sides.

x = -2

The solution to the equation 3x - 1 = -7 is x = -2.

To solve the equation 3x - 1 = -7, we need to isolate the variable x on one side of the equation.

Here are the steps to solve it:

Step 1: Start with the given equation: 3x - 1 = -7.

Step 2: To eliminate the constant term (-1) on the left side, we can add 1 to both sides of the equation:

3x - 1 + 1 = -7 + 1.

Simplifying, we get: 3x = -6.

Step 3: Now, we want to isolate x, so we need to get rid of the coefficient 3 in front of x.

We can do this by dividing both sides of the equation by 3:

(3x)/3 = (-6)/3.

Simplifying further, we have: x = -2.

Step 4: We have found the solution to the equation: x = -2.

Therefore, the solution to the equation 3x - 1 = -7 is x = -2.

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Answer:

16.8

Step-by-step explanation:

Because 2 to 8.4 is a scale factor of 1:4.2, you must solve 4*4.2. 4*4.2=16.8, so side OM is 16.8.

Answer:

16.8 is the measurement of OM

Step-by-step explanation:

In the JKL triangle the line LK is measured by 2 while the LJ is 4 the measurement is doubled and it is stated that JKL and MNO have the same measurement therefore the pattern can be seen in the traingle JKL.

Answer:

[tex]\boxed{\sf The\: slope\: is \: 0}[/tex]

Step-by-step explanation:

[tex]\boxed{\sf {Slope}=\cfrac{y_2-y_1}{x_2-x_1}}[/tex]

____________

[tex]\sf \left(x_1,\:y_1\right):\left(-1,\:3\right)[/tex]

[tex]\sf \left(x_2,\:y_2\right):\left(3,\:3\right)[/tex]

[tex]\sf Slope\:(m)=\cfrac{3-3}{3-\left(-1\right)}[/tex]

[tex]\sf m=0[/tex]

Answer:

-1/2x

Step-by-step explanation: negative reciprical

Answer:

Step-by-step explanation:

You have to find 1 number that equals the number you are given when you multiply it by itself.

for example a times a = b

Square root of 144?

12x12=144

We can calculate the square root of a number as follows -

A = √x

In mathematics, a square root of a number x is a number y such that

y² = x.

Given is number and it is asked to find its square root.

Assume the number whose square root is to be found be [x]. Then, we can calculate the square root as -

A = √x

For example -

x = 9

A = √9

A = √(3 x 3)

A = √(3)²

A = 3

Therefore, we can calculate the square root of a number as follows -

A = √x

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Answer:

0.0323 = 3.23% probability that it will not be discovered

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

[tex]P(B|A) = \frac{P(B)*P(A|B)}{P(A)}[/tex]

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

In this question:

Event A: Has emergency locator

Event B: Probability it will not be discovered.

Eighty percent of the light aircraft that disappear while in flight in a certain country are subsequently discovered.

So 20% are not discovered, which means that [tex]P(B) = 0.2[/tex].

90% of the aircraft not discovered do not have such a locator.

So 10% of the aircraft discovered have the location, which means that [tex]P(A|B) = 0.1[/tex]

Probability of having the locator:

75% of 80%(Discovered).

10% of 20%(Not discovered). So

[tex]P(A) = 0.75*0.8 + 0.1*0.2 = 0.62[/tex]

If it has an emergency locator, what is the probability that it will not be discovered?

[tex]P(B|A) = \frac{P(B)*P(A|B)}{P(A)} = \frac{0.2*0.1}{0.62} = 0.0323[/tex]

0.0323 = 3.23% probability that it will not be discovered

Answer:

D

Step-by-step explanation:

Answer:

6/11

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

(5,-4)

Answer:

C

Step-by-step explanation:

(5,-4) by using elimination method

Answer:

i dont know the answer but good luck

Step-by-step explanation:

Answer:

70

Step-by-step explanation:

10 * 7 = 70 square ft

Answer:

12

Step-by-step explanation:

you take 108-12=96

then you take 96/8=12

Answer: 4 units

Step-by-step explanation:

Answer:

m= -4.5

Step-by-step explanation:

Let's solve your equation step-by-step.

6m−3=5−(m+39.5)

Step 1: Simplify both sides of the equation.

6m−3=5−(m+39.5)

6m−3=5+−1(m+39.5)(Distribute the Negative Sign)

6m−3=5+−1m+(−1)(39.5)

6m−3=5+−m+−39.5

6m+−3=5+−m+−39.5

6m−3=(−m)+(5+−39.5)(Combine Like Terms)

6m−3=−m+−34.5

6m−3=−m−34.5

Step 2: Add m to both sides.

6m−3+m=−m−34.5+m

7m−3=−34.5

Step 3: Add 3 to both sides.

7m−3+3=−34.5+3

7m=−31.5

Step 4: Divide both sides by 7.

7m

7

=

−31.5

7

m=−4.5

Step-by-step explanation:

6m-m=5-3+39.5

5m=-37.5

m=7.5

Answer:

$8800 might be wrong on that not sure

Answer:

1/ 5²

Step-by-step explanation:

= 5³ × 1/5⁵

= 125 × 1/5⁵

= 125/3125

= 1/25 or 1 / 5²

Answer:

1.9x+2(1.5)>30

Step-by-step explanation:

1.9(15)+2(1.5)

28.5+3

31.5 dollars

therefore the equation is grater than 30 dollars

Answer:

x = 2, -2, -1/5

Step-by-step explanation:

g(x)= 5x^3+x^2-20x-4

g(x)= x^2(5x+1)-4(5x+1)

g(x)=(x^2-4)(5x+1)

g(x)=(x-2)(x+2)(5x+1)

x-2=0

x= 2

x+2=0

x= -2

5x+1=0

x= -1/5

Answer:

Answer:

Part A:  99% CI is given by : (0.38998, 0.44236)

Part B:

The given proportion 45 % or 0.45 is not included in the 99% confidence interval which is 0.39- 0.44 . So it is not consistent with the statement that 45 % got vaccinated.

Part C:

There should be at least 4148 vaccine eligible people in Canada to guarantee that the margin of error will be less than 0.02

Step-by-step explanation:

Part A:

The test statistic p^ ±z sqrt (p`q`/n) will be used because

It is a random sample and both np^≥10 also nq^≥10 so the large sample interval procedure is used.

Here

p= proportion of vaccine- eligible  people who received flu vaccine

Sample size= n= 2350

Sample success= p^=978/2350= 0.4161

Sample failure= q^= 1-p`= 1- 0.4161= 0.5838

For 99% CI the z- value is 2.576

Using the test static

p^ ±z sqrt (p^q^/n)

0.4161± 2.576 sqrt( 0.4161*0.5838/2350)

0.4161± 2.576 * 0.010167

0.4161± 0.02619

(0.38998, 0.44236)

Part B:

The given proportion 45 % or 0.45 is not included in the 99% confidence interval which is 0.39- 0.44 . So it is not consistent with the statement that 45 % got vaccinated.

Part C:

z* sqrt ( p^q^/n) ≤ 0.02

sqrt ( p^q^/n) ≤ 0.02/z

Taking square of both sides

( p^q^/n) ≤ [0.02/z]²

Reciprocating both sides

n/p^q^ ≥[ z/ 0.02]²

n≥[ z/ 0.02]²p^q^

n≥  z²p^q^/[  0.02]²

Putting the values

n ≥(2.576)² (0.5)(0.5)/ 0.2²

n≥ [2.576 /2 (0.02) ]²

n≥4,147.36

There should be at least 4148 vaccine eligible people in Canada to guarantee that the margin of error will be less than 0.02

Answer:

[tex]\frac{3}{5} +\frac{1}{5} =\frac{4}{5}[/tex]

Step-by-step explanation:

The denominator doesn't really matter here. You just have to add the numerators and then put the denominator back on again. The numerators are 3 and 1 and if you add 3 and 1 you will get 4. Now you have to put the denominator back on to the bottom of the numerator. So, if you but 5 on the bottom of 4 it will be [tex]\frac{4}{5}[/tex].

Step-by-step explanation:

x - number of senior citizen tickets sold

y - number of child tickets sold

1st day: 3x + 6y = 102

2nd day: x + 12y = 184

2 (3x + 6y = 102)

= 6x + 12y = 204

-1 (x + 12y = 184)

= -x - 12y = -184

6x + 12y = 204

-x - 12y = -184

= 5x = 20

x = 4

3(4) + 6y = 102

= 12 + 6y = 102

= 6y = 90

y = 15

Answer:

One senior ticket is $ 4.00 and one child ticket is $ 15.00

Hope this helps! :D

Answer:

C. Scalene

Step-by-step explanation:

Scalene triangles have three different side lengths. This triangle has three different side lengths from the points given so it must be scalene.

Equilateral would be three identical side lengths.

Isosceles would have two identical side lengths.  

Answer:

$102

Step-by-step explanation:

First calculate the number of hours for morning and afternoon.

[8:15 - 12:15] 12 - 8 = 4 hours for the morning

[13:00 - 17:30] (17 - 13) + 1/2 an hour = 4.5 hours

Giving us a total of 8.5 hours.

12 x 8.5 = 102