A high school counselor wants to look at the relationship between the grade point average (GPA) and the
number of absences for students in the senior class this past year. The data show a linear pattern with the
summary statistics shown below:
mean
standard deviation
I= = of absences
z = 5.0
Sz = 1.2
y= GPA
Y = 2.9
Sy = 0.3
p = -0.65
Find the equation of the least-squares regression line for predicting GPA from the number of absences.
Round your entries to the nearest hundredth.
y =
+
22
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The probability of rolling a number less than 12 is 91.6%.

What is probability?

By simply dividing the favorable number of possibilities by the entire number of possible outcomes, the probability of an occurrence can be determined using the probability formula. Because the favorable number of outcomes can never exceed the entire number of outcomes, the chance of an event occurring might range from 0 to 1.

each case in the set is mutually exclusive with the others in the set, the probability that any one of its components will occur is equal to the sum of its component probabilities.

We can have the number 12, the probality will be 1/12

So the probability of rolling a number less than 12 is = (1 -  probability of 12)

=1-1/12

=11/12

=0.916

Hence the probability of rolling a number less than 12 is 91.6%.

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Answer:

188.5 ft

Step-by-step explanation:

One Circle = perimeter

= 2 nr

= 2 x 3.14 x 30

= 188.5 ft

Answer:

[9/5,∞)

Step-by-step explanation:

Rearrange variables to the left side of the equation: c ≥ 11/5-2/5

Calculate: c ≥ 9/5

Express solution set in interval notation: [9/5,∞)

The graph of \(g(x)\) is the result of taking the graph of \(f(x)\\\), shifting it right three units and down two units.

Answer:

X= 1.25

13.75 + 5= 18.75

20 - 18.75= 1.25 OR 1.25 + 18.75 = 20

Step-by-step explanation:

Based on mathematical operations, the lowest amount that Annabel can pay for pencils is $15.20

The lowest amount that Annabel can pay for pencils can be determined using the mathematical operations of multiplication and division.

Multiplication and division are two of the four basic mathematical operations, including addition and subtraction.

If Annabel chooses to purchase the first pencil at 30p each, she would pay £22.80 (£0.30 x 76).

If Annabel chooses to purchase the second pencil class of a pack of 10 pencils for £2, she would pay £15.20 [£2 x (76 ÷ 10)].

Pencils for sale

30p each

Pack of 10 pencils for £2

Thus, if Annabel wants to buy the pencils, she can either pay £15.20 or £22.80, but using mathematical operations, the lowest amount she can pay is £15.20.

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Answer:

$15.69

Step-by-step explanation:

multiply the retail price by 1.06 to get the price after taxes.

find the discounted price by multiplying the price after taxes(19.61) by 0.8 since it is 20% off to get the answer

Answer:

2x^3-5x^2-28x+15 -------------------------expanded

2x^3-5x^2-28x+15--------------------simplified

Step-by-step explanation:

\left(2x-1\right)\left(x+3\right)\left(x-5\right)

=2x^2x+2x^2\left(-5\right)+5xx+5x\left(-5\right)-3x-3\left(-5\right)

simplyfied

\left(2x^2+5x-3\right)\left(x-5\right)

=2x^2x+2x^2\left(-5\right)+5xx+5x\left(-5\right)-3x-3\left(-5\right)

=2x^3-5x^2-28x+15

Answer:

the answer is D The slope is -4 and the y-intercept is 2

Step-by-step explanation:

the equation use is y=mx+b slope repusents M and the y-intercept repusents B hope this helps you out

Answer:

246= AB

Step-by-step explanation:

Angle Formed by Two Secants= 1/2(difference of Intercepted Arcs)

<P = 1/2 ( AB - CD)

93 = 1/2 ( AB - 60)

Multiply by 2

186 = ( AB-60)

Add 60 to each side

186+80 = AB

246= AB

The gravitational waves would have traveled through a volume of approximately 3.244 x 10⁷⁴ cubic light-years.

The space-time continuum is subject to gravitational waves, which move at the speed of light. They are caused by the acceleration of large objects that distort space-time around them, such as neutron stars or black holes.

The bending of space-time brought on by the existence of mass and energy is what Einstein's theory of general relativity refers to as gravity rather than a force.

The radius of the sphere can be determined using the formula:

R = Distance / Time

For 1.3 billion light years we have:

R = Distance / Time = 1.239 x 10²⁵ meters

Substituting the value in the volume:

V = (4/3) x π x R³ = 3.244 x 10⁷⁴ cubic light-years (approx)

Hence, the gravitational waves would have traveled through a volume of approximately 3.244 x 10⁷⁴ cubic light-years.

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Answer:

2/6, 1/3, 33.33%

Step-by-step explanation:

To roll a 5 or 6, meaning 2 numbers.

There are a total of 6 numbers on the die.

Therefore, it would be 2 out of 6, or 2/6.

Simplified: 1/3 or 33.33%

Answer:

2

Step-by-step explanation:

The equation has 2 terms in it which means 2 is the answer.

Answer:

60 rocks

Step-by-step explanation:

12x5 = 60

Answer:

Step-by-step explanation:

marios sister found 60 rocks do 12x5.

Answer:

Step-by-step explanation:

Hello!

Tourists that visit Thailand are exposed to being bitten by a stray dog.

People that get bitten by a stray dog are at risk of getting rabies.

1) So you can determine two possible events that may happen:

A: The tourist got bitten by a stray dog.

B: The tourist got rabies.

2)

a.

"13 out of 1000 tourists get bit by a dog"

P(A)= 0.013

b.

"The percentage of tourists who have been bitten by a dog that get rabies is 15%" i.e. Given that the tourist was bitten by a dog, he got rabies. This is a conditional probability, is the probability of "B" given that "A" has already happened:

P(B|A)= 0.15

c.

"Ninety-nine percent of tourists who do not get bit by a dog will not get rabies."

The event "The tourist did not get bitten by a dog" is complementary to "A", so I'll symbolize it as: \(A^c\)

The event "The tourist did not get rabies" is complementary to the event "B", so I'll symbolize it as \(B^c\)

\(P(B^c|A^c)= 0.99\)

3) See attachment for table

P(A)= 0.013 ⇒ P(\(A^c\))= 1 - 0.013= 0.987

P(A∩B)= P(B|A)*P(A)= 0.15*0.013= 0.00195 = 0.002

P(A∩\(B^c\))= P(A) - P(A∩B)= 0.013-0.00195= 0.01105 = 0.011

\(P(B^c|A^c)= 0.99\)

P(\(B^c\)∩\(A^c\))= P(\(A^c\)) * \(P(B^c|A^c)\)= 0.987*0.99= 0.977

P(\(B^c\))= P(A∩\(B^c\)) + P(\(B^c\)∩\(A^c\))= 0.011 + 0.977= 0.988

P(B∩\(A^c\))= P(\(A^c\)) - P(\(B^c\)∩\(A^c\))= 0.987 - 0.977= 0.01

5) P(B)= P(A∩B) + P(B∩\(A^c\))= 0.002 + 0.01= 0.012

4) Attch

6)

P(A|\(B^c\))= P(A∩\(B^c\)) = 0.011   = 0.0111

                   P(\(B^c\))       0.988

I hope this helps!

Answer:

The null hypothesis: there is no difference between the mean IQ level of people who were reared by their biological parents and those who were reared by someone else.

Step-by-step explanation:The null hypothesis can be a general statement mostly in statistics that proposes no difference or no relationship between 2 phenomena etc

Researchers always carry out a study to test against the null hypothesis ie the opposite of the null hypothesis showing that there is a difference. In this study, the researchers aim is to establish that there is a difference between the mean IQ level of people who were reared by their biological parents and those who were reared by someone else. This goes against the null which states that

there is no difference between the mean IQ level of people who were reared by their biological parents and those who were reared by someone else.

9514 1404 393

Answer:

  A: -1, 3/5

  B: (-1/5, -3 1/5)

  2: plot the given points and draw a curve through them.

Step-by-step explanation:

The x-intercepts are most easily found from a graph of the function. I like the Desmos graphing calculator for this purpose. The x-intercepts are -1 and 3/5.

You can also find the x-intercepts by factoring the function.

  f(x) = 5x^2 +5x -3x -3 = 5x(x +1) -3(x +1) = (5x -3)(x +1)

The x-intercepts are the values of x that make the factors zero:

  5x -3 = 0   ⇒   x = 3/5

  x +1 = 0   ⇒   x = -1

__

The vertex is on the axis of symmetry, which is the vertical line at the value of x halfway between the zeros. (-1 +3/5)/2 = (-2/5)/2 = -1/5

The value of f(x) there is ...

  f(-1/5) = (5(-1/5) +2)(-1/5) -3 = (-1 +2)(-1/5) -3 = -1/5 -3 = -3 1/5

The vertex is (-1/5, -3 1/5).

__

The easiest step to take to graph the function is to type it into a graphing calculator (see attached).

If you're graphing this by hand, the three points given in parts A and B will be on the graph. The leading coefficient in the function is 3, so the x^2 parent function is vertically stretched by a factor of 3. This can make it a little more difficult to find points that lie on the graph.

Recognizing that the vertex form equation is ...

  f(x) = 3(x +1/5) -3 1/5

I might choose x-values that are -1/5 ± 1/2 to get y-values that are -3 1/5 + 3/4. And, x = -1/5 ± 1 ⇒ y = -3 1/5 +3.

The sample size for the Gallup poll is 1,627 adults. The 95% confidence interval for those who say they felt fully engaged with their mortgage provider is approximately 22.0% (rounded to 1 decimal place).

To calculate the 95% confidence interval, we need to consider the margin of error. The margin of error is given as 2.5%, which means that we need to account for plus or minus 2.5% around the observed proportion of 22%.

First, let's calculate the margin of error:

Margin of Error = 2.5% of 22% = 0.025 * 22% = 0.0055

Next, we can calculate the lower and upper bounds of the confidence interval:

Lower Bound = 22% - Margin of Error = 22% - 0.0055 = 21.995% ≈ 22.0%

Upper Bound = 22% + Margin of Error = 22% + 0.0055 = 22.005% ≈ 22.0%

Therefore, the 95% confidence interval for those who say they felt fully engaged with their mortgage provider is approximately 22.0% (rounded to 1 decimal place).

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Answer: Slope for both is 2/3

Step-by-step explanation:

The slope for blue is 4/6, or 2/3 simplified

The slope for yellow is 2/3

Therefore, the slope is the same for both. EA and AC have the same slope.

Check the picture below.

so the quadrilateral is really two triangles, each with a base of 3 and a height of 6

\(\stackrel{\textit{area of the two triangles}}{2\left[ \cfrac{1}{2}(\underset{b}{3})(\underset{h}{6}) \right]\implies 2(9)\implies} \text{\LARGE 18}\)

Answer:

we need to solve the volume of a figure in order to know the amount of substance in an object

we need volume in many area such as labs when mixing chemicals or vaccines

Step-by-step explanation:

The expression log₃(x²∛y²) using the laws of logarithms is 2log₃(x) + 2/3log₃(y)

From the question, we have the following parameters that can be used in our computation:

log₃(x²∛y²)

The product law of logarithms states that

log(ab) = log(a) + log(b)

Using the above as a guide, we have the following:

log₃(x²∛y²) =  log₃(x²) + log₃(∛y²)

The power law of logarithms states that

log(aᵇ) =  blog(a)

Using the above as a guide, we have the following:

log₃(x²∛y²) =  2log₃(x) + 2/3log₃(y)

This means that the values of A and B are A = 2 and B = 2/3

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Answer: The equation of a line in the form of y = mx + b can be found using the slope-intercept form, where m is the slope of the line and b is the y-intercept. To find the slope, you can use the two points on the line: (1, 2) and (3, 5). The slope is found by the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the two points.

m = (5 - 2) / (3 - 1) = 3 / 2 = 1.5

The y-intercept can be found by plugging in one of the points and the slope into the equation and solving for b. Let's use the point (1, 2).

2 = 1.5 * 1 + b

b = 2 - 1.5 = 0.5

So the equation of the regression line is:

y = 1.5x + 0.5

Therefore, the correct answer is: yˆ = 1.5x + 0.5

Step-by-step explanation:

Answer:

9460

Step-by-step explanation:

The customer will pay $6.30 for the 60 local calls that all lasted 3 minutes.

To find out how much the customer will pay, we need to calculate the total cost for all the local calls.
Step 1: Calculate the total number of minutes for all the calls
Since the customer made 60 local calls and each call lasted 3 minutes, we can multiply 60 by 3 to get the total number of minutes.
60 calls * 3 minutes/call = 180 minutes
Step 2: Calculate the total cost for all the minutes
The customer pays $0.035 per minute for local calls. To find the total cost, we can multiply the total number of minutes by the cost per minute.
180 minutes * $0.035/minute = $6.30

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Step-by-step explanation:

2 of the Constitution Constitution Constitution Sultanate Sultanate Flow 1

Answer:

y = sec(x-2) - 1

Step-by-step explanation:

We can determine the graph is of a secant by the repeating parabolas. From there, graph sec(x) and add the transformations necessary to replicate the graph.

The number of years it would take is approximately equal to 53 years.

In Mathematics, a population that increases at a specific period of time represent an exponential growth. This ultimately implies that, a mathematical model for any population that increases by r percent per unit of time is an exponential function of this form:

P(t) = I(1 + r)^t

Where:

By substituting given parameters, we have the following:

96627 = 11211(1 + 0.0418)^t

8.61894567835 = (1.0418)^t

By taking the ln of both sides, we have:

Time, t = ln(8.61894567835)/ln(1.0418)

Time, t = 52.60 ≈ 53 years.

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