30 students went on a field trip to the science museum. 60% of the students tried the new Gravity Buster ride at the museum.

Answer:

Last option...

Step-by-step explanation:

Answer:

The very last one

Step-by-step explanation:

x cannot have two outcomes

Answer:

(I cannot show a picture of a bar model, apologies)

Polynomial factoring is the opposite of polynomial multiplication. A polynomial's leftover will be 0 if it is divided by its factors after factoring.

A multiple is a number that is the result of multiplying the provided number by other numbers, as opposed to a factor, which divides the given number perfectly without leaving a remainder.

When a polynomial f(x) is divided by (x - c), and (x - c) is a factor of the polynomial f(x), the remainder of the division is simply equal to 0. Therefore, if the remainder of a division like the ones mentioned above equals zero.

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Answer:

16 students

Step-by-step explanation:

It is a 3 to 5 ratio, so if there are six boys, there are 10 girls. Six plus ten is 16 students.

Answer:

analysis (i got to put a bunch of random stuff here cs the limit)

Answer:

The number is 162.

Step-by-step explanation:

Let's let the number =n

So, we can set up an equation.

(n/9) is a number divided by 9.

Its "quotient" (the answer to that expression) is multiplied by 6.

6(n/9)

The product (answer) is 108.

6(n/9) = 108.

Then we can solve.

6(n/9) = 108

(n/9) = 18

n = 162

Answer: 99.7%

Step-by-step explanation:

Edg 2020

Answer:

C.  2 StartRoot 2 EndRoot + 2 StartRoot 5 EndRoot units

Step-by-step explanation:

Answer:

The Answer is C.

Step-by-step explanation:

2 StartRoot 2 EndRoot + 2 StartRoot 5 EndRoot units

Answer:

C. 6

Step-by-step explanation:

10x - 4x = 36

1. Take away 4x from each side

6x = 36

2. Divide by six

x = 6

Answer:

2

Step-by-step explanation:

Answer:

[tex]mean = \frac{sum}{number} \\ 102 = \frac{(100 + 122 + 103 + 113 + 109 + x)}{6} \\ 612 = 547 + x \\ x = 65[/tex]

Answer:

11.25 m

Step-by-step explanation:

Since the volume of  a rectangular prism, V = lwh where l = length, w = width and h = depth,

So, l = V/wh

Now, for the length of the community pool, its volume, V = 480 m³, h = 2 m and w = 12 m

So, l = V/wh

= 480 m³/(12 m × 2 m)

= 480 m³/24 m²

= 20 m

Also, for the length, l' of the Shorewood High School pool, its volume, V' = 937.5 m³, its depth, h' = 2.5 m and its width, w' = 15 m

So, l' = V'/w'h'

= 937.5 m³/(15 m × 2 m)

= 937.5 m³/30 m²

= 31.25 m

So, the difference in length of the pools is l' - l = 31.25 m - 20 m = 11.25 m

So, the high school's pool is 11.25 m longer than the community pool.

There are 8 half dollars and 9 quarters inside the cup.

We can set up a system of equations to represent the number of half dollars (h) and quarters (q) in the cup and the total value of the coins.

Let h be the number of half dollars and q be the number of quarters.

The first equation represents the total number of coins in the cup:

The second equation represents the total value of the coins:

To solve for h and q, we can use either the substitution or elimination method.

By substitution, we can solve for one variable in terms of the other in one of the equations and substitute it into the other equation.

So, q = 17 - h

then substitute it into the second equation:

0.5h + 0.25(17 - h) = 5.50

By solving for h, we get h = 8, then we can substitute it back into the first equation to get q = 9

So, there are 8 half dollars and 9 quarters inside the cup.

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The factors of the given equation x³ - 2x² - 5x + 6 is (x - 1)(x + 2)(x - 3) with the help of synthetic division.

Let f(x) = x³ - 2x² - 5x + 6

Substitute x = 1

f(1) = (1)³ - 2(1)² - 5(1) + 6

⇒ f(1) = 1 - 2 - 5 + 6

⇒ f(1) = -1 + 1

⇒ f(1) = 0

As x = 1 is the root of the given equation therefore one of the factor of the given equation is (x-1)

Now use long division method, we get (x² - x - 6) as another factor.

⇒ f(x) = (x - 1)(x² - x - 6)

⇒ f(x) = (x - 1)(x² - 3x + 2x - 6)

⇒ f(x) = (x - 1)(x(x-3) + 2(x-3))

⇒ f(x) = (x - 1)(x - 3)(x + 2)

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the slope of the given straight line will be -3

What is the slope of line?

Given two line-side coordinates, use the slope formula to determine the slope of the line. The slope is defined as the ratio of the change in the y values to the change in the x values using the formula m=(y2-y1)/(x2-x1). x1 and y1 are represented by the first point's coordinates. The second points are located at x2, y2, and their locations. Whichever point you choose to classify as the first and which as the second doesn't matter.

We know that formula two find the slope of the line joining two points which is

Slope is = y2-y1/x2-x1

=9-0/0-3

=-3

Hence the slope of the given straight line will be -3

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Answer:

7 / 36

Step-by-step explanation:

Using the sample space attached,

Required outcome = multiple of 5 from the sun of two rolled dice = 7

Total possible outcomes =(number of faces)² = 6² = 36

Therefore, the probability of obtaining a sum which is a multiple of 5 is :

P(sum which is a multiple of 5) :

Required outcome / Total possible outcomes

= 7 / 36

The median of the following 9 numbers 23, 15, 32, 27, 19, 11, 30, 19, 22 will be 22.

The median of the data is the middle value of the data which is also known as the central tendency of the data and is known as the median.

The median for odd data will be

Median = [(n + 1) / 2]th

The median for even data will be

Median = {[n / 2 + (n + 2)/ 2] / 2}th

The data is given below.

23, 15, 32, 27, 19, 11, 30, 19, 22

Arrange the data in ascending order. Then we have

11, 15, 19, 19, 22, 23, 27, 30, 32

Then the median of the following 9 numbers is calculated as,

Median = [(9 + 1) / 2]th

Median = (10 / 2)th

Median = 5th

Median = 22

The median of the following 9 numbers 23, 15, 32, 27, 19, 11, 30, 19, 22 will be 22.

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After the modification, the maximum amount of medical costs in the sample must have stayed the same.

After the wrongly recorded medical expense was repaired, the adjusted amount remained more than or equal to every other medical expense in the sample. This suggests that the sample statistic linked to the highest value must have remained unchanged after the modification.

The highest value, also known as the maximum or largest value, of the medical expenses in the sample, had to have remained constant. Even though the real quantity was mistakenly recorded as being 10 times its value, the rectified amount still had the highest value in the sample.

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Answer:

[tex]x \approx 86.5[/tex]

Step-by-step explanation:

To solve the given problem, use the following trigonometric ratios,

[tex]sin(\theta) = \frac{opposite}{hypotenuse}\\\\cos(\theta) = \frac{adjacnet}{hypotenuse}\\\\tam(\theta) = \frac{opposite}{adjacent}[/tex]

Each of the sides are named relative to the given angle, therefore, when looking at different angles, the sides will have different names.  In this case, one is given the length of the hypotenuse, and one is asked to find the length of the given side. Therefore, it would make the most sense to use the ratio of sine ([tex]sin[/tex]). Substitute in the given values and solve,

[tex]sin(84)=\frac{x}{87}[/tex]

Manipulate the equation so that it is solved for (x),

[tex]x=(87(sin(84))[/tex]

Solve,

[tex]x \approx 86.5[/tex]

Length of diagonals are :

[tex]D_1 = \sqrt{ (-5-(-1))^2 + (1-(-2))^2 }\\\\D_1 = 5\ units[/tex]

[tex]D_2 = \sqrt{(-2 -2 )^2 + (5-2)^2}\\\\D_2 = 5 \ units[/tex]

Now, Slope of both the diagonal is :

[tex]m_1 =\dfrac{1-(-2)}{-5-(-1)} \\\\m_1 = -\dfrac{3}{4}\\\\m_2 = \dfrac{5-2}{-2-2}\\\\m_2 = -\dfrac{3}{4}[/tex]

Now, product of slopes are :

[tex]m_1 \times m_2 = \dfrac{-3}{4} \times \dfrac{-3}{4}\\\\m_1 \times m_2 = \dfrac{9}{16}[/tex]

Since, the product of slope is not equal to -1 . It means that the slopes are not perpendicular.

Therefore, this quadrilateral is not square.

Answer:

the equation of the line is y = -7x - 2.

Step-by-step explanation:

To find the equation of the line with slope -7 that passes through the point (4, -30), we can use the point-slope form of a line.

The point-slope form of a line is:

y - y1 = m(x - x1)

where:

(x1, y1) is a point on the line

m is the slope of the line

Substituting the given values, we get:

y - (-30) = (-7)(x - 4)

Expanding the right side, we get:

y + 30 = -7x + 28

Combining like terms, we get:

y = -7x - 2

So the equation of the line is y = -7x - 2.

u can download the gauthmath app. i promise it's very helpful :)

Answer:

y=1/4x+5

Step-by-step explanation:

............ ............

The steps of finding mean and standard deviation of a simple random sample are given below.

What is standard deviation and mean?

The standard deviation is a statistic that expresses how much variation or dispersion there is in a set of values. While a high standard deviation suggests that the values are dispersed over a wider range, a low standard deviation suggests that the values tend to be close to the set mean.

There are various mean types in mathematics, particularly in statistics. Each mean serves to summarize a specific set of data, frequently to help determine the overall significance of a specific data set.

The steps of finding mean and standard deviation of a simple random sample are:

Divide the population standard deviation (σX) by the square root of the sample size (n) to get the standard deviation of the sample mean (σX):  = σ/n.

How to determine sample means

Add up the examples' components. You must first count the number of sample items in each data set and then add up all of the sample items. ...

Sum divided by the quantity of samples.

The outcome is the mean.

To determine the variance, use the mean.

To determine the standard deviation, use the variance.

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the distance it will cover before coming to rest is 75m. Solved using the concept of velocity.

Simply said, velocity is the rate of movement in a certain direction. such as the speed of a car driving north on a highway or the pace at which a rocket takes off.

Due to the fact that it includes both magnitude and direction, velocity is a vector quantity. Since acceleration is only the rate at which velocity changes, acceleration is likewise a vector quantity.

Given that,

initial velocity (u) = 30 m/s

acceleration (a) = - 6 m/s²

As we know,

v² = u² + 2as

or, 0 = (30)² + 2 × (-6) × s

or, s = 75 m

Hence, the distance it will cover before coming to rest is 75m

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Peggy completed more of the math homework than Al

What does division of fractions mean?

A fraction is divided into additional equal pieces when it is divided into fractions. For instance, if you had three-fourths of a pizza remaining and divided each slice into two pieces, you would have received six slices, which would be equivalent to six-eighths of the entire pizza.

we know that

In order to be able to compare fractions more easily it is recommended that both have the same denominator

Peggy

5/6 x 5 = 25/30

Al

4/5 x 6 = 24/30

Peggy completed more of the math homework

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By using formula, P(A n B) = 0.346. Rounded to the nearest thousandth, P(A n B) = 0.346

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event. In between 0 and 1, the closer the probability is to 1, the more likely the event is to occur. The probability of an event is usually represented by the letter P, followed by the event in parentheses.

Rounding off is a mathematical operation that is used to reduce the number of digits in a number while maintaining its value within a certain degree of accuracy. When we round off a number, we look at the digit that is immediately to the right of the last digit that we want to keep. If the number is less than 5, we keep the last digit as it is, but if the number is greater than or equal to 5, we add 1 to the last digit.

We can use the formula of conditional probability to find the value of P(A n B).

P(A n B) = P(A U B) - P(A) - P(B) + P(An B)

We know that:

P(A U B) = P(A) + P(B) - P(A n B)

So we can substitute this in the first equation:

P(A n B) = P(A U B) - P(A) - P(B) + P(An B)

P(An B) = P(A U B) - P(A) - P(B) + P(An B)

Now we can substitute the given values:

P(An B) = 0.366 - 0.32 - 0.2 + P(An B)

P(An B) = 0.346 + P(An B)

To find P(An B) we can subtract 0.346 from both sides of the equation:

P(An B) = P(An B) - 0.346

P(An B) = P(An B) - 0.346

So, P(An B) = 0.346

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If the radius is quadrupled, then the area of the new area to the old area will be 4:1

You should be aware that the quadrupled of a circle is four times the area of the old one.

In this case the area of the circle is denoted by

Area = πr²

Where r= radius=6 cm

The area of the old circle is 22/7 * 6 * 6

Area of the circle is = 113.1cm²

To this effect, the area of the new circle is 4(area of the old one)

Area = 4*22/7 * 6 * 6

Area = 3167/7

Area is = 452.6

This implies that 4(113.2) =452.6

In conclusion, you will discover that four times the area of the new circle is the old circle

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