A classroom contains 13 students. A student committee of 3 (president, vice-president, and treasurer) must be selected. Harry Potter will serve only as president and only if either of his friends Ron Weasley or Hermione Granger serve as vice president; otherwise he leaves the group. The others (including Ron and Hermione) have no such restrictions. What is the probability that Ron or Hermione become the president of this group

Complete Question

which on these linear equations best describe the given model

The description and diagram of the model is shown on the first uploaded image

Answer:

 The linear equation is [tex]y = -\frac{1}{4}x + 40[/tex]

Step-by-step explanation:

Generally a linear equation is mathematically represented as

       [tex]y = mx+c[/tex]

m is the slope which   can be obtained from the graph diagram as

             [tex]s = \frac{30 -20}{80 -40}[/tex]

             [tex]s = \frac{1}{4}[/tex]

Now this slope is a negative slope as seen from the diagram so

        [tex]s =-\frac{1}{4}[/tex]

The intercept is  40 as seen from the graph

So the linear equation is

        [tex]y = -\frac{1}{4}x + 40[/tex]

Answer:

sorry i need the points

Step-by-step explanation:

Answer:

Step-by-step explanation:

Standard CDs have a diameter of 120 millimetres (4.7 in) and can hold up to about 80 minutes of uncompressed audio or about 700  MiB of data. The Mini CD has various diameters ranging from 60 to 80 millimetres (2.4 to 3.1 in); they are sometimes used for CD singles, storing up to 24 minutes of audio, or delivering device drivers.

The answer is option B) 26

Pythagoras' theorem states that “In a right-angled triangle,  the square of the hypotenuse side is equal to the sum of squares of the other two sides“.

Hypotenuse² = Perpendicular²+ Base²

c² = a² + b²

Given here,  BC=37 , CA=53 and ∠C=∠B=90°  therefore by Pythagoras theorem we can write  AB² = 37²+53²

                                     AB= 64.63

again using Pythagoras' theorem we have where ∠B is 90°

AB² + BD² = AD²

AB² + 37² + CD² = (CD+53)²

(64.63)² + 37² + CD² = CD² + 106CD +53²

CD²=(64.63²-53²+37²)/106

CD=26 (approx)

Hence the final answer is 26

Learn more about Pythagoras' theorem here:

https://brainly.com/question/21926466

#SPJ5

Answer:

Measure less 90 degrees

Step-by-step explanation:

Less than 90 degrees measure acute angle. 90 degrees in right corner. Obtuse corners are larger than 90 degrees

Hope this helps.

Answer: An angle less than 90 degrees

Step-by-step explanation:

An angle that is less than 90° is known as an acute angle. The acute angle is otherwise called the angle which is less than the right angle.

Answer:

The formula for the total surface area of closed hemisphere for any value of R is S = 3πR²

Step-by-step explanation:

The total surface area of closed hemisphere is given as;

Curved surface area of the hemisphere + Base surface area of the hemisphere

Curved surface area of the hemisphere, A=  2πr²

Base surface area of the hemisphere, B = πr²

The total surface area of closed hemisphere, S = A + B

The total surface area of closed hemisphere, S = 2πr² + πr² = 3πr²

Therefore, The formula for the total surface area of closed hemisphere for any value of R is S = 3πR²

Answer:

d) 316 feet

Step-by-step explanation:

Now 3 Inches = 0.25 feet

Therefore:  5 feet 3 inches =5.25 feet

The problem forms a right triangle in which the height of the triangle

= 270 -5.25  =264.75 feet.

Using Trigonometric ratios

[tex]\tan 40^\circ=\dfrac{264.75}{y} \\$Cross multiply\\y\tan 40^\circ=264.75\\y=264.75 \div \tan 40^\circ\\y=315.5$ feet[/tex]

Therefore, Jane is approximately 316 feet from the building.

Answer: d) 316 feet

Step-by-step explanation:

A right angled triangle ABC is formed.

BC represents the height of the building minus the height of Jane's eyes from the ground. AB represents Jane's distance from the building.

12 inches = 1 feet

3 inches = 3/12 = 0.25 feet

Therefore, the height of her eyes from the ground is 5 + 0.25 = 5.25 feet

Therefore, BC = 270 - 5.25 = 264.75 feet

To determine AB, we would apply the the tan trigonometric ratio which is expressed as

Tan# = opposite side/adjacent side

Tan 40 = 264.75/AB

AB = 264.75/tan40

AB = 264.75/0.839

AB = 316 feet

Answer:

a) 0.6628 = 66.28% probability that at least 85 visitors had a recorded entry through the Beaver Meadows park entrance

b) 0.5141 = 51.41% probability that at least 80 but less than 90 visitors had a recorded entry through the Beaver Meadows park entrance

c) 0.5596 = 55.96% probability that fewer than 12 visitors had a recorded entry through the Grand Lake park entrance.

d) 0.9978 = 99.78% probability that more than 55 visitors have no recorded point of entry

Step-by-step explanation:

Using the normal approximation to the binomial.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].

In this problem, we have that:

175 visitors, so [tex]n = 175[/tex]

a)

46.7% through the Beaver Meadows, so [tex]p = 0.467[/tex]

[tex]\mu = E(X) = np = 175*0.467 = 81.725[/tex]

[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{175*0.467*0.533} = 6.6[/tex]

This probability, using continuity correction, is [tex]P(X \geq 85 - 0.5) = P(X \geq 84.5)[/tex], which is 1 subtracted by the pvalue of Z when X = 84.5. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{84.5 - 81.725}{6.6}[/tex]

[tex]Z = 0.42[/tex]

[tex]Z = 0.42[/tex] has a pvalue of 0.6628.

66.28% probability that at least 85 visitors had a recorded entry through the Beaver Meadows park entrance.

b)

This is [tex]P(80 - 0.5 \leq X < 90 - 0.5) = P(79.5 \leq X \leq 89.5)[/tex], which is the pvalue of Z when X = 89.5 subtracted by the pvalue of Z when X = 79.5. So

X = 89.5

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{89.5 - 81.725}{6.6}[/tex]

[tex]Z = 1.18[/tex]

[tex]Z = 1.18[/tex] has a pvalue of 0.8810.

X = 79.5

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{79.5 - 81.725}{6.6}[/tex]

[tex]Z = -0.34[/tex]

[tex]Z = -0.34[/tex] has a pvalue of 0.3669.

0.8810 - 0.3669 = 0.5141

0.5141 = 51.41% probability that at least 80 but less than 90 visitors had a recorded entry through the Beaver Meadows park entrance

c)

6.3% over the Grand Lake park entrance, so [tex]p = 0.063[/tex]

[tex]\mu = E(X) = np = 175*0.063 = 11.025[/tex]

[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{175*0.063*0.937} = 3.2141[/tex]

This probability is P(X < 12 - 0.5) = P(X < 11.5), which is the pvalue of Z when X = 11.5. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{11.5 - 11.025}{3.2141}[/tex]

[tex]Z = 0.15[/tex]

[tex]Z = 0.15[/tex] has a pvalue of 0.5596.

55.96% probability that fewer than 12 visitors had a recorded entry through the Grand Lake park entrance.

d)

22.7% with no recorded point, so [tex]p = 0.227[/tex]

[tex]\mu = E(X) = np = 175*0.227 = 39.725[/tex]

[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{175*0.227*0.773} = 5.54[/tex]

This probability is [tex]P(X \leq 55 + 0.5) = P(X \leq 55.5)[/tex], which is the pvalue of Z when X = 55.5. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{55.5 - 39.725}{5.54}[/tex]

[tex]Z = 2.85[/tex]

[tex]Z = 2.85[/tex] has a pvalue of 0.9978

99.78% probability that more than 55 visitors have no recorded point of entry

Step-by-step explanation:

In general, the students increased their standardized math scores from 5th grade to 7th grade.

The students might be more familiar with the exam and they have learned more in their math classes.

Answer:

The midline of the function is y = 2.

Step-by-step explanation:

Midline is the horizontal line that passes exactly in the middle between the graph's maximum and minimum points.

The midline of a sinusoidal function passes exactly in the middle of its extreme values.

Since the amplitude of a sinusoid is equal to the vertical distance from its midline to one of its extrema, we can calculate the midline using one of the following formulas.

midline = max value − amplitude

midline = min value + amplitude

According to the graph, the maximum value of the function is 5.5, and the amplitude is 3.5.

So, the midline is

midline = max value − amplitude

midline = 5.5 − 3.5 = 2

Answer: rotated 90 degrees counterclockwise and shifted 2 units up.

Step-by-step explanation:

Answer:

y- intercept = 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

3y = 12x + 15 ( divide all terms by 3 )

y = 4x + 5 ← in slope- intercept form

with y- intercept c = 5

The y-intercept of the given line, 3y=12x+15 is: 5.

Given:

3y=12x+15

y = 12x/3 + 15/3

y = 4x + 5

Therefore, the y-intercept of the given line, 3y=12x+15 is: 5.

Learn more about the y-intercept of a line on:

https://brainly.com/question/10700419

Answer:

0.078 liters

Step-by-step explanation:

78ml=78/1000L

78ml=0.078ml

Answer:

y=-1/3x+6 .Hope this helps

Answer:

3y = -x + 18

Step-by-step explanation:

Given the equation y = 3x + 2;

By comparison with the general equation

y = mx + C ; where m is the slope

We see that m = 3

Now for a perpendicular line and it's slope is -1/m = -1/3 and let it be M2

But the new slope cuts across points (3,5) .

It means M2 = y - 5/ x-3

-1/3 = y-5/ x-3

-1(x-3) = 3(y-5)

-x +3 = 3y -15

3y = -x + 18

Answer:

the last one

Step-by-step explanation:

Answer:

y = 3sin2(x - pi)

Step-by-step explanation:

The number in front of the trigonometric value (sin, cos, tan, etc.) indicates the amplitude. If the period is pi then the value in front of x must be 2, because frequency (in other words, the period) is determined by the equation 2pi/B, where the value in front of (x) is B. And if the phase shift is pi, or positive pi, then the corresponding equation must be (x - pi) because it's always the opposite.

Answer: The scale of the map in its simplest form is 1:200,000

Step-by-step explanation: From the question,

The distance between the two towns is 10km which is a distance of 5cm on the map.

This means, 5cm represents 10km. Now we will determine what 1cm represents.

If 5cm represents 10km

Then 1cm will represent (10÷5) km

Hence, 1 cm will represent 2km

Now, convert 2km to cm

2km = 2000m = 200,000cm

Hence, 1cm represents 200,000cm

This means on the map 1cm represents 200,000cm.

The scale of the map is therefore

1:200,000

Answer:

240naira

Step-by-step explanation:

The board measures 2½m by 1¼m

The area of the board is;

2½× 1¼ = 5/2 × 5/4 = 25/8 m²;

But 25/8 m² cost 750 naira;

Therefore 1m² cost 750 / 25/8

750 × 8/25 =

30 × 8

240naira

Answer: D

Step-by-step explanation:

We can solve for k by plugging in the x-intercept. We know that the x-intercept is 4, therefore the y is 0. The coordinates would be (4,0). Now that we have our x and y, we can plug in and solve for k.

4k+2(0)+8=0

4k+0+8=0

4k+8=0

4k=-8

k=-2

Answer:

Step-by-step explanation:

Training data overall accuracy is >96%

Test data overall accuracy is <96%

A single feature is not the best choice but a combination of features might be optimal.

The feature that best optimizes your overall accuracy is the combination of both cut off scores. The mean of the two cut off scores will optimize your predictions of overall accuracy.

Answer:

b. Greater than or equal to 0.9.

Step-by-step explanation:

We have three types of risks, that can make the project fail independently.

The probability of failure have to be calculated as the complement of the probability of success, and the probability of success is the probability of avoiding each of the risks.

The probability of avoiding each of the risks is the complementary probability of each risk. For example, the probability of avoiding the maturity risk (0.3) is 1-0.3=0.7.

Then, we can calculate the probabilty of success as:

[tex]P_s=(1-P_{mr})(1-P_{cr})(1-P_{dr})\\\\P_s=(1-0.3)(1-0.7)(1-0.8)\\\\P_s=0.7\cdot 0.3\cdot 0.2\\\\P_s=0.042[/tex]

Then, the probability of failure is the complementary of the probability of success:

[tex]P_f=1-P_s\\\\P_f=1-0.042=0.958[/tex]

The probability of failure is Pf=0.958

Answer:

B. 40

Step-by-step explanation:

What do you understand by sample size; a sample size is a little portion of a large number we which to investigate. Imagine we wanted to know the electricity consumption of people in a town of 200million people sometimes we could do that be investigating that of 50million especially when you know the conditions would be no different from others. In this sense the sample size is 50 million because that's the one we are investigating.

Similarly our concern of interest for investigation is 40, so that's the sample size.

Answer:

The size will be "431".

Step-by-step explanation:

On assuming:

P1 = 0.5

P2 = 0.5

Now,

[tex]q1=1-p1[/tex]

    [tex]=1-0.5[/tex]

    [tex]=0.5[/tex]

and,

[tex]q2=1-p2[/tex]

    [tex]=1-0.5[/tex]

    [tex]=0.5[/tex]

Margin's error will be,

E = 0.07

For 96% CI critical will be:

Z = 2.054

So,

Sample size = [tex](p1q1+p2q2)\times (\frac{Z}{E})^2[/tex]

On putting the estimated values, we get

                     = [tex](0.5\times 0.5+0.5\times 0.5)\times (\frac{2.054}{0.07})^2[/tex]

                     = [tex](0.25+0.25)\times (29.3)^2[/tex]

                     = [tex](0.5)\times (858.49)[/tex]

                     = 431

Answer:

Surface Area is 16π mm²

Step-by-step explanation:

Remember me? (I answered your question before) Do I count as "genius people or expert people"? I certainly hope so.

The area for a cylinder's surface area is

a=2πrh+2πr²

The cylinder base's radius is 2 mm

The cylinder's height is 2 mm

Putting into the equation:

a=2×π×2×2+2×π×2²

a=2π×2×2+2×π×2²

a=4π×2+2×π×2²

a=8π+2×π×2²

a=8π+2×π×4

a=8π+2π×4

a=8π+8π

a=16π

The surface area of the cylinder is 16π mm².

Answer: -23

Step-by-step explanation: Let me know if you need an explanation.

Answer:

-23

Step-by-step explanation:

g(x) = 5x – 3

g(-4) means substitute -4 for x in the expression above.

Hence

g(-4) =5(-4) – 3 = -20-3 = -23

Answer:

x= 34

Step-by-step explanation:

96 + 50 + x = 180

180 - 146 = x

x= 34

Answer: x = 34

Step-by-step explanation:

The interior angles of a triangle add up to 180.

So we can set an equation to 180 like this: [tex]180 = x + 96 + 50[/tex]

We can simplify this:

[tex]180 = x +146[/tex]

Now we need to isolate x to solve for it.

We do this by subtracting the 146.

[tex]34 = x[/tex]

Answer:

not statistical

Step-by-step explanation:

Answer:

I think it is to my advantage to switch my choice to door 2.

Step-by-step explanation:

Under the normal circumstances, switching to another choice has increased one,s chances to getting a car which is 2/3 and just sticking to a choice gets one 1/3.

Since we already have a vague idea bout what is already behind doors 1 and 3, I think it is to my advantage to switch my choice to door 2.

Answer:

48 cubes can be cut from the wooden cuboid

Step-by-step explanation:

Total calculate this, we will first of all find the volume of the cuboid, and the volume of the cubes to be cut, then divide the volumes to see how many cubes can be cut from the cuboid.

Volume of cuboid = 12 × 12 × 9 = 1296 cm

volumes of each cube to be cut = 3 × 3 × 3 = 27 cm

Next, we will divide the volume of cuboid by the volume of the cubes:

Number of cubes = Volume of cuboid ÷ volume of cubes

Number of cubes = 1296 ÷ 27 = 48 cubes

Therefore, 48 cubes of sides 3cm can be cut from the wooden cuboid

Answer:

D. Initial public offering​

Step-by-step explanation:

A P E X

Answer:

B

Step-by-step explanation:

the reason is, i suffered it ;)

Answer: The value of k to the nearest thousandth is -0.133

The of the turkey to the nearest degree after 4.5 hours is 186F

Step-by-step explanation: Please see the attachments below

Answer:

The answer is -1

Hope this helped :3