the dot plot below shows the number of books read during one month by students in the sixth grade at Ledbetter middle school.Each dot plot represents one student

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation: 60 x 3= 380

2 x 60= 270

270 + 380= 810

Answer:

I don't know I'm sorry I will tell you another answer asks me to

The reference angle for the angle with the measure 2x/3 is 54⁰

You should understand that a reference angle is the acute angle to a given angle.

The given angle is 2x/3

We should understand that since the angle has the variable x

= x + 2x/3 = 90⁰

Simplifying the fraction to have

(3x+2x)/3 = 90

Cross and multiply we have 5x=270⁰

Making x the subject

x= 270/5

x=54⁰

Therefore, the reference angle with the measure 2x/3 is = 54⁰

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Answer:

D) y = 12

Step-by-step explanation:

One can use the angle bisector theorem to solve this problem. The angle bisector theorem states:

\(\frac{a_1}{b}=\frac{a_2}{c}\)

Where (\(a_1\)) and (\(a_2\)) are a part of the side that is intersected by the angle bisector and (\(b\)) and (\(c\)) are the other two sides in the triangle. Substitute in the given values and solve for the unknown.

\(\frac{4}{8}=\frac{6}{y}\)

Simplify,

\(\frac{1}{2}=\frac{6}{y}\)

Cross products,

\(12=y\)

Answer:

  A.  opens downward; vertex (3, 11)

Step-by-step explanation:

The leading coefficient is negative (-1), so we know the parabola opens downward.

The vertex in the form ...

  A(x) = a(x -h)² +k

is (h, k). Comparing to the given equation, we find (h, k) = (3, 11).

The vertex is (3, 11).

Step-by-step explanation:

5/6 +1/3 +1/2+3/4

Make sure they have a common denominator

In this case the common denominator is 12

So..

5/6 ×2/2...1/3×4/4...1/2×6/6...3/4×3/3

10/12+4/12+6/12+9/12

=29/12

=2&5/12 grams/pounds/ounces?

An integer to describe the new location of the train from the station is 30.

The train left the station and then went 30 miles ahead.

This means that if we assume the relative location of the train station is x, the new location of the train is:

= x + 30

Seeing as this question requires only the integer, the distance would be:

= 30

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If you want the answer simplified, its
-36x + 32

Answer:

5 1/3

Step-by-step explanation:

We make

4/1 divided by 4/3 = 5 1/3

Answer:

3zx-15z+12x-60

Step-by-step explanation:

first do parenthesis and distribute (z+4)(x-5) into zx-5z+4x-20

then distribute the 3 to get the answer

Answer:

The conditional probability is given by

P(F|E) = P(E and F)/P(E)

P(F|E) = 0.2/0.4

P(F|E) = 0.5

P(F|E) = 50%

Step-by-step explanation:

Recall that the conditional probability is given by

∵ P(B | A) = P(A and B)/P(A)

For the given case,

P(F|E) = P(E and F)/P(E)

Where P(F|E) is the probability of event F occurring given that event E has occurred.

The probability of event E and F is given as

P(E and F) = 0.2

The probability of event E is given as

P(E) = 0.4

So, the conditional probability is

P(F|E) = P(E and F)/P(E)

P(F|E) = 0.2/0.4

P(F|E) = 0.5

P(F|E) = 50%

The term "isometric" has the Greek roots "isos," which means "same," and "metron," which means "measure." The definition of an isometric transformation is one in which the original figure and its transformed equivalent have the same shape, size, and orientation.

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Answer:

{Ø}, {Ø} - these two

A toy for a child is made from cylinder with a radius of 2 inches and a height of 4 inches.

What is the surface area of the toy?

we have that

The surface are of cylinder is equal to

we have

r=2 in

h=4 in

substitute

SA=2pi(2)(4)

SA=16pi in2

answer is

Answer: a) Both a(x) and b(x) have a maximum or minimum value at x = 2.

Step-by-step explanation:

Answer:

The answer is 1.) None

Step-by-step explanation:

Hope this helps you :)

In 2021 a 30-second commercial during the Super Bowl cost $5.6 million and the CPI was approximately 271.4. Assuming that price changes are simply due to inflation, when the CPI was 33.4 the estimated cost of a 30-second commercial during the first Super Bowl in 1967 would be approximately $68,900.

To calculate the cost of the 30-second commercial during the first Super Bowl in 1967, we can use the concept of inflation and the Consumer Price Index (CPI).

The CPI measures the average price change of a basket of goods and services over time. By comparing the CPI values of two different years, we can estimate the relative increase in prices due to inflation.

Given data:

Cost of a 30-second commercial in 2021 = $5.6 million

CPI in 2021 = 271.4

CPI in 1967 = 33.4

To calculate the cost in 1967, we need to adjust the 2021 cost for inflation using the CPI ratio:

Cost in 1967 = (Cost in 2021) * (CPI in 1967 / CPI in 2021)

Cost in 1967 = ($5.6 million) * (33.4 / 271.4)

Cost in 1967 ≈ $0.689 million

To round the cost to the nearest hundred dollars, we can multiply the cost by 100 and round it to the nearest whole number:

Cost in 1967 ≈ $68,900

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For this problem, we need to know whether the numbers 3/8 and 3/4 are equivalent fractions. And we need to draw a number line to decide.

This is done below:

As we can see from the lines above, the two numbers are in different positions, therefore they are not equivalent fractions.

Answer:

A)  Mr. Simpson's class; it has a larger median value 14.5 pencils.

Step-by-step explanation:

A box plot is a visual display of the five-number summary:

From inspection of the box plots (attached), the measures of central tendency (median) and dispersion (range and IQR) are:

Mr Johnson's class:

Mr Simpson's class:

In a box plot, the median is a measure of central tendency and tells us the location of the middle value in the dataset. It divides the data into two equal halves, with 50% of the values falling below the median and 50% above it.

The median number of pencils lost in Mr Simpson's class is greater than the median number of pencils lost in Mr Johnson's class. Therefore, Mr. Simpson's class has a larger median value.

The spread of data in a dataset can be measured using both the range and the interquartile range (IQR).

As Mr Simpson's class has a greater IQR and range than Mr Johnson's class, the data in Mr Simpson's class is more spread out than in Mr Johnson's class.

In summary, as Mr Simpson's class has a larger median 14.5 and a wider spread of data, then Mr Simpson's class lost the most pencils overall.

The coordinates of p which divides the line AB in ratio 3:1 is (3.75, 3.5).

The section formula provides the coordinates of a point that, either internally or externally, divides the line connecting two locations in a ratio.

P ( x , y ) = ( c ⋅ m + a ⋅ n m + n , d ⋅ m + b ⋅ n m + n ) .

Ratio of line = 3:2

m and n represents the ratios 3:2

let the coordinates of p(x, y).

using Section formula

= [ (3(4) + 1(3) / (3+1), 3(3) + 1(5) / 3+ 1]

= (15/ 4, 14/4)

= (3.75, 3.5)

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Answer: \(2\sqrt{3}\)

Step-by-step explanation:

Simplify the following radical:

\(\sqrt{12}\)

Find the prime factors of 12:

2² × 3

\(\sqrt{2^{2} (3)}\) = \(2\sqrt{3}\)

Answer:

https://geometryhelp.net/triangle-inequality-theorem/

Step-by-step explanation:

This is from that site. Visit it and you may find what you're looking for.

If we want to go from point A to point B, getting there through any intermediate point C, which is not on the straight line between A and B, is going to be longer. This should seem intuitively correct. But we will prove it formally.

Where do triangles come into this? Imagine that the line AB is a side of a triangle, ΔABC. Going from A to B is the straight, short way. Going there by first going to another point, C (which is the side AC) and then from C to B (which is the side CB) is going to be longer.

Answer: ooo ok i got it. it is nice

Then it will take approximately 6.3 hours for the culture to grow to 80,000 bacteria

The given formula for the number of bacteria in a culture after t hours is:y = 5000(3)^tWe are required to find the number of hours it will take the culture to grow to 80,000.

This can be done by setting y equal to 80,000 and then solving for t.5000(3)^t = 80,000

Divide both sides by 5000:3^t = 16Now, we need to solve for t by taking the logarithm of both sides.

However, it is easier to use logarithmic properties to simplify the equation first.3^t = 2^4

Raise both sides to the power of (1/log3):log3(3^t) = log3(2^4)t = 4/log3(2)Using a calculator, log3(2) ≈ 0.631, so:t ≈ 4/0.631 ≈ 6.3.

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The solution to the system of equations is x = -3 and y = -4.

To solve the system of equations:

Equation 1: 2x - y = -10

Equation 2: 3x + 2y = -1

We can use the method of substitution or elimination to find the values of x and y.

Let's use the method of elimination:

Multiply Equation 1 by 2 to make the coefficients of y in both equations equal:

2(2x - y) = 2(-10)

4x - 2y = -20

Now, we can eliminate y by adding Equation 2 and the modified Equation 1:

(3x + 2y) + (4x - 2y) = -1 + (-20)

7x = -21

x = -3

Substitute the value of x into Equation 1 to solve for y:

2(-3) - y = -10

-6 - y = -10

y = -10 + 6

y = -4

Therefore, the solution to the system of equations is x = -3 and y = -4.

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x = (12 ± √(-16)) / 4,The solutions would be complex numbers.

To solve quadratic equations of the form ax2 + bx + c = 0, use the quadratic formula. For this situation, your condition is as of now as a quadratic condition, with a = 2, b = - 12, and c = 20.

The quadratic formula is:

x = (-b ± √\((b^2 - 4ac)\)) / 2a

Plugging in the values for a, b, and c, we get:

x = (-(-12) ± √\(((-12)^2 - 4(2)(20)))\) / 2(2)

Simplifying the expression inside the square root:

x = (12 ± √\((144 - 160)\)) / 4

x = (12 ± √(-16)) / 4

Since the square foundation of a negative number is definitely not a genuine number, this condition has no genuine arrangements. Complex numbers would provide the answers.

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