After going trick-or-treating, Jeremy is trying to
figure out how many houses he visited. Jeremy knows
he started with 9 pieces of candy in his bag and
averaged 2 candies per house. If Jeremy has 71
pieces of candy, how many houses did he visit?

The surface areas are 110 in², 87.6 mm² and 49 m².

Given that are solid figure, we need to find the surface area of them,

1) Triangular prism = perimeter × length + 2 × base area

= (5 + 5 + 6) × 5 + 2(3×5) = 110 in²

2) Triangular pyramid = base area + perimeter × slant height / 2

= 1/2 × 5.2 × 6 + 3 × 6 × 8/2

= 87.6 mm²

3) Cube = 4side²

= 4 × (3 1/2)²

= 4 × 3.5²

= 49 m²

Hence the surface areas are 110 in², 87.6 mm² and 49 m².

Learn more about surface areas click;

https://brainly.com/question/29298005

#SPJ1

The probability that at least 50 cars out of 200 get into an accident on a given day is given as follows:

0.0018 = 0.18%.

The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is obtained by the rule presented as follows:

\(Z = \frac{X - \mu}{\sigma}\)

The parameters of the binomial distribution for this problem are given as follows:

n = 200, p = 0.17.

Hence the mean and the standard deviation of the approximation are given as follows:

Using continuity correction, the probability is one subtracted by the p-value of Z when X = 49.5, hence:

Z = (49.5 - 34)/5.31

Z = 2.92

Z = 2.92 has a p-value of 0.9982.

1 - 0.9982 = 0.0018 = 0.18%.

More can be learned about the normal distribution at https://brainly.com/question/25800303

#SPJ1

Step-by-step explanation:

When x = 0, y = 2(0) - 3 = -3.

When x = 1, y = 2(1) - 3 = -1.

When x = 2, y = 2(2) - 3 = 1.

When x = 3, y = 2(3) - 3 = 3.

The ordered pairs are (0, -3), (1, -1), (2, 1), (3, 3).

-19.99; The line of best fit underpredicts the student's science test score.

So correct option is A.

A prediction is an estimation or forecast about future events or conditions, based on past data and trends, current information, and/or mathematical models. Predictions can be made in various fields, such as finance, weather, sports, social sciences, and natural sciences. The accuracy of predictions depends on many factors, including the quality of the data used, the assumptions made, the complexity of the system being analyzed, and the reliability of the methods used. Predictions are not always accurate and are often subject to revision as new information becomes available.

The predicted science score for the student with IQ 100 can be calculated using the line of best fit:

ŷ = −20.3 + 0.7489 * 100 = 71.59

The residual is the difference between the actual science test score and the predicted science score:

residual = actual score - predicted score = 52.6 - 71.59 = -19.99

So the line of best fit underpredicts the student's science test score by 19.99 points.

Therefore, the residual is:

-19.99; The line of best fit underpredicts the student's science test score.

To know more about residual visit:

https://brainly.com/question/7467603

#SPJ1

Answer:

(3,1);(6,-2)

Step-by-step explanation:

I pretty much just looked at where they both intersected with each other and you'll get your answer.

The number of dominoes are in each row for the artist is 42 dominoes.

From the information, the domino artist has 6 sets of 28 Domino’s. The total Domino will be:

= Number of set × Amount in each set

= 6 × 28

= 168

Since she arranges all the dominoes into four equal rows. This will be:

= Total number / Rows

= 168 / 4

= 42

Learn more about art on:

brainly.com/question/1504175

#SPJ1

Answer:

q' (5,6)

r' (7,3)

s' (5,0)

t' (1'3)

Step-by-step explanation:

your welcome

Answer:

x = 15

Step-by-step explanation:

3x+1+4x-3 = 103

7x = 105

x = 15

Answer:

Yellow - E - F = 0

Step-by-step explanation:

E - F = -2

0 - 2 = -2

Answer:

i think its yellow, hope it helped

Step-by-step explanation:

all i did was looked at the letter and then the numbers and did the subtraction

Answer:

Yes

Step-by-step explanation:

If 2/5kg fills one third, let's multiply 2/5kg by 3 to find out how much soil the conatainer can hold.

(2/5kg)(3) = 9/5kg = 1.8kg

1.8kg>1kg, so the answer is yes

Answer:

31

Step-by-step explanation:

Let x and (x + 1) be the page numbers Josiah can see

Hint 1: x(x + 1) = 930

⇒ x² + x = 930

⇒ x² + x - 930 = 0

Using quadratic formula,

\(x = \frac{-b\pm\sqrt{b^2 -4ac} }{2a}\)

a = 1, b = 1 and c = -930

\(x = \frac{-1\pm\sqrt{1^2 -4(1)(-930)} }{2(1)}\\\\= \frac{-1\pm\sqrt{1 +3720} }{2}\\\\= \frac{-1\pm\sqrt{3721} }{2}\\\\= \frac{-1\pm61 }{2}\\\)

\(x = \frac{-1-61 }{2}\;\;\;\;or\;\;\;\;x= \frac{-1+61 }{2}\\\\\implies x = \frac{-62 }{2}\;\;\;\;or\;\;\;\;x= \frac{60 }{2}\\\\\implies x = -31\;\;\;\;or\;\;\;\;x= 30\)

Sice x is a page number, it cannot be negative

⇒ x = 30 and

x + 1 = 31

The two pages Josiah can see are pg.30 and pg.31

Hint 2: The page he is reading is an odd number

Out of the pages 30 and 31, 31 is an odd number

Thereofre, Josiah is reading page 31

x² + 3x - 2

(5)² + 3 × 5- 2

25 + 15 - 2

40 - 2

38...

The method is: Find the increase and find the ratio of the increase and the old price.

The percentage increase is 20%

A percentage is defined as the ratio that can be expressed as a fraction of 100.

The method below shows how you would calculate the % increase.

First step: Find the increase:

increase = 480 - 400 = $80

Second step: Find the ratio of the increase and the old price and multiply by 100 to express in percentage:

80/400 * 100 = 20%

Learn more about percentage on:

brainly.com/question/843074

#SPJ1

Answer:

it would be -5, because when they are the same signs, you keep the sign and add the numbers, so -7 +-5=-12

Step-by-step explanation:

Answer:

566

Step-by-step explanation:

566

Answer:

33

Step-by-step explanation:

this is pythagoras theorem so do this first 44 times 44 + x times x = 55 squared

The value of perpendicular x using Pythagoras theorem in a right-angled triangle is 33 inches. The option A is correct.

The angle with a measure of 90 degrees is called as right angle triangle.

According to the definition of Pythagoras theorem, the square of the hypotenuse is equal to the sum of the square of the base and the square of the hypotenuse.

Given that:

A right-angled triangle with hypotenuse (H) as 55 inches and a base(B) as 44 inches.

Assume that the perpendicular of the right angles triangle be (x) inches.

According to the Pythagoras theorem,

\(H^2 = P^2 + B^2\)

\((55)^2 = x^2 + (44)^2\)

\((55)^2 - (44)^2 = x^2\)

1089 = \(x^2\)

x = 33 inches

Thus, the value of perpendicular x is 33 inches. The option A is correct.

Learn more about right-angled triangle here:

https://brainly.com/question/12381687

#SPJ3

The equation of the parabola from the vertex is f(x) = -3(x - 5)² + 9

The equation of the function is given as

f(x) = 3x²

Also, we have

Vertex = (5, 9)

The form of the equation is given as

f(x) = a(x - h)² + k

Where

Vertex = (h, k)

This means that

Vertex = (h, k) = (5, 9)

Substitute (h, k) = (5, 9) in the equation f(x) = a(x - h)² + k

So, we have

f(x) = a(x - 5)² + 9

This also means that

f(x) = -3(x - 5)² + 9

The -3 is gotten from f(x) = -3x²

Hence, the equation of the parabola is f(x) = -3(x - 5)² + 9

Read more about parabola at

brainly.com/question/1480401

#SPJ1

Answer:

22°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180° , then

x + x + 136° = 180°

2x + 136° = 180° ( subtract 136° from both sides )

2x = 44° ( divide both sides by 2 )

x = 22°

Answer:

1155

Step-by-step explanation:

We need to determine 55% of 2100 now and the procedure explaining it as such

Step 1: In the given case Output Value is 2100.

Step 2: Let us consider the unknown value as x.

Step 3: Consider the output value of 2100 = 100%.

Step 4: In the Same way, x = 55%.

Step 5: On dividing the pair of simple equations we got the equation as under

2100 = 100% (1).

x = 55% (2).

(2100%)/(x%) = 100/55

Step 6: Reciprocal of both the sides results in the following equation

x%/2100% = 55/100

Step 7: Simplifying the above obtained equation further will tell what is 55% of 2100

x = 1155%

Therefore, 55% of 2100 is 1155

D. I and IV are the quadrants the cosine function is positive

To determine in which quadrants the cosine function is positive, we need to consider the signs of cosine in different quadrants of the Cartesian coordinate system.

The unit circle is a useful tool to understand the behavior of trigonometric functions. In the unit circle, the x-coordinate represents the cosine value, while the y-coordinate represents the sine value. The cosine function is positive in the quadrants where the x-coordinate is positive.

Quadrant I is the top-right quadrant, where both the x and y coordinates are positive. In this quadrant, cosine is positive because the x-coordinate is positive.

Quadrant II is the top-left quadrant, where the x-coordinate is negative, but the y-coordinate is positive. In this quadrant, cosine is negative because the x-coordinate is negative.

Quadrant III is the bottom-left quadrant, where both the x and y coordinates are negative. In this quadrant, cosine is negative because the x-coordinate is negative.

Quadrant IV is the bottom-right quadrant, where the x-coordinate is positive, but the y-coordinate is negative. In this quadrant, cosine is positive because the x-coordinate is positive.

Based on this analysis, we can conclude that cosine is positive in Quadrant I and Quadrant IV. Therefore, the correct answer is D. I and IV.

It's important to note that this applies to the standard unit circle and the principal values of cosine. When considering periodicity and multiple revolutions around the unit circle, the positive regions of cosine will repeat every 360 degrees or 2π radians.

Know more about Cosine function here:

https://brainly.com/question/26993851

#SPJ11

Answer: okay so trying adding each part and count how many hours is 6 am and add and I hope you get it right if not I’m sorry for you- but you should find a more sure answer

Regina's Towing:

Fixed Charge = $45

Cost per mile = $2.50

Number of miles = x

Total cost = y

Total cost (y) must be equal to the sum of the fixed cost (45) and the product of the number of miles (x) and the cost per mile (2.50)

Mathematically speaking:

y= 45+2.50x

If the length of HJ is 7 unit then the length of EI is 14 unit.

A circle is a shape consisting of all points in a plane that are given the same distance from a given point called the center.

We are given a circle with center H.

Therefore, the radius of the circle is found as; HJ

Then the Diameter is the line from one point in the circle to the other point through the center of the circle.

Diameter of the circle = EI

Since we know that One of the theorems of a circle states that the angles in the same segments or on the same chord are equal.

Then the name of the chord is FG.

If the length of HJ is 7 unit then the length of EI is;

EI = 2 HJ

EI = 14 unit.

Learn more about circumference here;

brainly.com/question/12512221

#SPJ1

The study is classified as an observational study, and the problem is given as follows:

A.

This is a convenience sample with voluntary​ response, which has a high chance of leading to bias.

Experiments are studies in which there are two groups, with different features, and then the effect of a feature is studied.

For an observational study, there are no changes, just a question is asked, as is the case for this problem.

Convenience samples lead to bias as many people that share characteristics can answer.

More can be learned about observational studies at https://brainly.com/question/13193533

#SPJ1

Lee's TV costs $4.05 to operate for a month of 30 days.

To calculate the cost of operating Lee's TV for a month, we need to find out the total number of kilowatt-hours (kWh) of electricity consumed by the TV during that time.

First, let's find out how many watts Lee's TV consumes in a day:

250 watts/hour x 3 hours/day = 750 watts/day

To convert this to kilowatts, we divide by 1000:

750 watts/day ÷ 1000 = 0.75 kilowatts/day

Now, we can calculate the total number of kilowatt-hours consumed by the TV in a month:

0.75 kilowatts/day x 30 days = 22.5 kilowatt-hours

Finally, we can calculate the cost of operating the TV for a month:

22.5 kilowatt-hours x 18 cents/kilowatt-hour = $4.05

To learn more about the division;

https://brainly.com/question/13263114

#SPJ1

We can round the answer to 4 decimal places:
P(x > 136) ≈ 0.3846

(a) The probability curve for a uniform distribution is given by the formula:
f(x) = 1/(b - a)
where 'a' and 'b' are the lower and upper limits of the distribution, respectively.

In this case, a = 104 and b = 156.
f(x) = 1/(156 - 104)
f(x) = 1/52
So, the probability curve for x is f(x) = 1/52.
(c) To find P(122 < x < 142), we first need to find the width of this interval:
Width = 142 - 122 = 20
Next, we multiply the width by the probability curve, f(x):
P(122 < x < 142) = 20 * (1/52) = 20/52
Now, we can round the answer to 4 decimal places:
P(122 < x < 142) ≈ 0.3846
(d) To find the probability that a randomly selected flight will be at least 6 minutes late,

we first need to find the interval for late flights.

Since the quoted flight time is 130 minutes,

A flight that is at least 6 minutes late will have a flight time greater than 136 minutes.
We are now looking for P(x > 136).

To do this, we first find the width of the interval between 136 and the upper limit (156):
Width = 156 - 136 = 20
Now, we multiply the width by the probability curve, f(x):
P(x > 136) = 20 * (1/52) = 20/52.

For similar question on decimal.

https://brainly.com/question/15182181

#SPJ11

Answer:

Check the explanation

Step-by-step explanation:

Kindly check the attached image below to see the step by step explanation to the question above.

Answer:

A. 2

Step-by-step explanation:

The computation is shown below:

As we know that

The Volume of a right circular cylinder is

\(V = \pi r^h\\\\\)

Here r is the radius

And h is the height

Now it is mentioned that the height of the right circular cylinder P is double to the height of the right circular cylinder Q

Now let us assume h be the height of cylinder p

And, H be the  height of cylinder Q

So the equation is

h = 2H ........(1)

Also

The radius of both the cylinders would be the similar length

So

we assume the r be the radius of both cylinders

Now

The Volume of cylinder Q = \(V_Q = \pi r^2H\)

And for P it is \(V_p = \pi r^2 h\)

Now substitute equation 1

\(V_p = \pi r^2(2H)\\\\V_p= 2 \pi r^2hH\\\\V_p = 2(\pi r^2H)\\\\V_p = 2(V_Q)\)

Hence, the correct option is A.

The number of adults who attended the concert is 824.

Linear Equation:

The equation is said to be linear if the greatest power of a variable always equals 1. It is also known as a one-degree equation. The usual form of a linear equation with one variable is Ax + B = 0. In this case, the variables x and A are variables while the variable B is a constant.

It is given in the question that the number of adults are twice the number of children.

then,

Suppose there were x children present at the concert.

Then number of adults will be 2x.

According to the given question,

x + 2x = 1236

3x = 1236

dividing both sides by 3, we get

x= 412

therefore, number of children who attended the concert is 412.

Then the number of adults will be,

2x = 2 x 412 = 824

therefore, the number of adults who attended the concert is 824.

To know more about Linear Equations, visit:

https://brainly.com/question/29739212

#SPJ1

Answer:

To simplify the expression (a÷b)³×(b÷c)×(c÷a)³ when a=3, b=a², c=a³, we can substitute the given values and perform the calculations.

Substituting the values of a, b, and c:

a = 3

b = a² = 3² = 9

c = a³ = 3³ = 27

Now let's simplify the expression:

(a÷b)³×(b÷c)×(c÷a)³

(3÷9)³×(9÷27)×(27÷3)³

Simplifying each term:

(3÷9) = 1/3

(9÷27) = 1/3

(27÷3) = 9

Now we can substitute the simplified values back into the expression:

(1/3)³×(1/3)×9

Simplifying further:

(1/27)×(1/3)×9

1/9

Therefore, the simplified expression is 1/9.