Aubrey watches a merry-go-round for a total of 2 minutes and notices the black horse pass by 15 times. What is the period of the black horse?
a) 4 seconds
b) 8 seconds
c) 12 seconds
d) 30 seconds

Answer:

9.85

Step-by-step explanation:

√(x2 - x1)² + (y2 - y1)²

√(6 - 2)² + (-2 - 7)²

√(4)² + (-9)²

√(16) + (81)

√97

= 9.85

From the data the students for the seventh grade sent more text messages

The two data do not have the same center

By the given histogram the sixth-grade students has a mode of ninety

Mode=90

By the given histogram, For the seventh-grade students has mode of one hundred two

Mode=102

Hence, the seventh grade is higher than the sixth grade.

b. The greater spread:

For the sixth grade:

Spread = 5

For the seventh grade:

Spread = 7

When we compare the sixth grade and seventh grade, the spread is greater for seventh grade

Hence, the spread for the seventh grade is higher

Hence, the students for the seventh grade sent more text messages

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These two histograms show the number of text messages sent in one week by two groups of 100students. The first histogram summarizes data from sixth-grade students. The second histogramsummarizes data from seventh-grade students.2520151051554555 6585 95 105 115 125 135 145text messages sent per week by sixth-grade studentsk

Answer:

\(x=\displaystyle\frac{5+\sqrt{21}}{2}\) or \(x=\displaystyle\frac{5-\sqrt{21}}{2}\)

Step-by-step explanation:

Hi there!

\((x+1)^2=7x\)

Expand the parentheses:

\(x^2+2x+1=7x\)

Move 7x to the other side:

\(x^2+2x-7x+1=0\\x^2-5x+1=0\)

Apply the quadratic formula:

\(x=\displaystyle\frac{-b\pm\sqrt{b^2-4ac}}{2a}\) where \(ax^2+bx+c=0\)

Plug in the values a, b and c:

\(x=\displaystyle\frac{-(-5)\pm\sqrt{(-5)^2-4(1)(1)}}{2(1)}\\\\x=\displaystyle\frac{5\pm\sqrt{25-4}}{2}\\\\x=\displaystyle\frac{5\pm\sqrt{21}}{2}\)

I hope this helps!

Carson Kelly is expected to hit approximately 31 home runs in 2024.

To find how many home runs Carson Kelly is expected to hit in 2024, we can use the formula for compound interest, where the initial amount is the number of home runs he hit in 2019, and the interest rate is the expected growth rate of his home run hitting ability, which is 12 percent or 0.12 as a decimal.

Let H be the number of home runs hit in 2019, and H(n) be the number of home runs hit in year n, then we can write:

H(n) = H * (1 + r)^n

Where r is the growth rate, and n is the number of years into the future.

If we plug in the given values, we can find the number of home runs Carson Kelly is expected to hit in 2024, which is 5 years after 2019.

H = 18 (number of home runs in 2019)

r = 0.12 (growth rate)

n = 5 (number of years into the future)

H(5) = 18 * (1 + 0.12)^5

H(5) = 18 * 1.7623

H(5) = 31.9214

It's important to note that this is simply an estimate based on the given growth rate, and the actual number of home runs he hits in 2024 may vary based on many factors, including injuries, team support, and the skill of opposing pitchers, among others.

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The time calculation which involve calculating the time in GMT when it is 1:31:45 PM EDT (Eastern Daylight Savings Time) is

The conversion given in the problem is

Eastern Daylight Savings Time = Greenwich mean time GMT - 4

Eastern Daylight Savings Time + 4 = Greenwich mean time GMT

Solving for the time equivalence in Greenwich mean time

Greenwich mean time GMT = Eastern Daylight Savings Time + 4

substituting known values

Greenwich mean time = 1 : 31 : 45 PM + 4

Greenwich mean time = 5 : 31 : 45 PM

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Answer:

1. 360 , 2.36, 3.100, 4.256, 5.10000 , 6.72,

The probability that Jade gets the specific outcome you're interested in when rolling two dice is 1/6.

To find the probability that Jade gets a specific outcome when rolling two dice, we will use the sample space for rolling two dice, which consists of 36 possible outcomes (since there are 6 sides on each die, and we have 2 dice: 6 x 6 = 36).

Step 1: Determine the specific outcome you are interested in (for example, the sum of the numbers on the dice being 7).

Step 2: Count the number of ways this outcome can occur. For example, if we want a sum of 7, there are 6 possible outcomes: (1, 6), (2, 5), (3, 4), (4, 3), (5, 2), and (6, 1).

Step 3: Calculate the probability by dividing the number of successful outcomes by the total number of possible outcomes in the sample space.

In our example, there are 6 successful outcomes, and there are 36 possible outcomes in the sample space:

Probability = (Number of successful outcomes) / (Total number of possible outcomes) = 6/36

Step 4: Express the probability in its simplest form by reducing the fraction. In our example, 6/36 can be reduced to 1/6.

So, the probability that Jade gets the specific outcome you're interested in when rolling two dice is 1/6.

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Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:

(a) To find the probability that it is raining when you arrive in Oneirabad on a random day, we need to use the law of total probability.

Let A be the event that it is raining, and B be the event that it is the Wet season.

P(A) = P(A|B)P(B) + P(A|B')P(B')

Given that the Wet season lasts for 1/3 of the year, we have P(B) = 1/3. The probability that it is raining during the Wet season is 3/4, so P(A|B) = 3/4.

The Dry season lasts for 2/3 of the year, so P(B') = 2/3. The probability that it is raining during the Dry season is 1/6, so P(A|B') = 1/6.

Now we can calculate the probability that it is raining when you arrive:

P(A) = (3/4)(1/3) + (1/6)(2/3)

= 1/4 + 1/9

= 9/36 + 4/36

= 13/36

Therefore, the probability that it is raining when you arrive in Oneirabad on a random day is 13/36.

(b) Given that it is raining when you arrive, we can use Bayes' theorem to calculate the probability that your visit is during the Wet season.

Let C be the event that your visit is during the Wet season.

P(C|A) = (P(A|C)P(C)) / P(A)

We already know that P(A) = 13/36. The probability that it is raining during the Wet season is 3/4, so P(A|C) = 3/4. The Wet season lasts for 1/3 of the year, so P(C) = 1/3.

Now we can calculate the probability that your visit is during the Wet season:

P(C|A) = (3/4)(1/3) / (13/36)

= 1/4 / (13/36)

= 9/52

Therefore, given that it is raining when you arrive, the probability that your visit is during the Wet season is 9/52.

(c) Given that it is raining when you arrive, the probability that it will be raining when you return to Oneirabad in a year's time depends on the season. If you arrived during the Wet season, the probability of rain will be different from if you arrived during the Dry season.

Let D be the event that it is raining when you return.

If you arrived during the Wet season, the probability of rain when you return is the same as the probability of rain during the Wet season, which is 3/4.

If you arrived during the Dry season, the probability of rain when you return is the same as the probability of rain during the Dry season, which is 1/6.

Since the season you arrived in is independent of the weather when you return, we need to consider the probabilities based on the season you arrived.

Let C' be the event that your visit is during the Dry season.

P(D) = P(D|C)P(C) + P(D|C')P(C')

Since P(C) = 1/3 and P(C') = 2/3, we can calculate:

P(D) = (3/4)(1/3) + (1/6)(2/3)

= 1/4 + 1/9

= 9/36 + 4/36

= 13/36

Therefore, the probability that it will be raining when you return to Oneirabad in a year's time, given that it is raining when you arrive, is 13/36.

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The fraction expression 7/4 * 10/9 when evaluated as a mixed number is 1 17/18

Given that

7/4 * 10/9

To evaluate the expression, we multiply the numerators and denominators separately and simplify the resulting fraction:

So, we have

7/4 * 10/9 = 70/36

Divide the numerator and denominator by 2

So, we have

7/4 * 10/9 = 35/18

Simplify the quotient

This gives

7/4 * 10/9 = 1 17/18

Hence, the solution si 1 17/18

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It is impossible to predict the average number of sets until your first set where you miss every free throw as it depends on your skill level and the amount of practice you put in.

The average number of sets until your first set where you miss every free throw is impossible to predict because it depends on your skill level and the amount of practice you put in. This is because the number of sets it will take to miss every free throw depends on how well you have practiced and how quickly you have improved. Therefore, the average number of sets until your first set where you miss every free throw is impossible to predict.

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Answer:

It will take 5.68 seconds to cover a distance of 100 meters.

Step-by-step explanation:

Given that:

A greyhound dog runs with a top speed of 17.6 m/s

Distance to cover = 100 meters

We know that:

Distance = Speed * Time

Putting the values in formula

100 = 17.6 * Time

Time = \(\frac{100}{17.6}\)

Time = 5.68 seconds

Hence,

It will take 5.68 seconds to cover a distance of 100 meters.

Answer:

D. 2200 ft.lb/s

Explanation:

First, recall the standard conversion between horsepower and foot-pounds per second.

Therefore:

The correct choice is D.

The statement 3 more than 7 means, a number is 3 more than a given number. Since here the number is 7 so the required number will be 7+3= 10

In numerical more than simply refers to adding and less than refers to subtracting. If it is given that a number let's say Z is Y more than X then the value will be Z= X+Y

If a given number let's say Z is Y less than X then the value of Z will be

Z=X-Y

More than means add which gives us a bigger value. Less than means subtract which gives us a smaller value

So, 3 more than 7 means 7+3 = 10

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This phenomenon can be attributed to the regression effect or reversion to the mean.

The number of children who were above the 90th percentile in height at age eighteen is expected to be quite a bit smaller than the number of children who were below.

This phenomenon can be attributed to the regression effect or reversion to the mean. When a sample is selected based on extreme values (in this case, the 90th percentile at age four), there is a tendency for subsequent measurements to be closer to the average or mean.

It is likely that some of the children who were initially at the 90th percentile will exhibit a decrease in their relative height ranking over time, while fewer children will experience an increase.

This pattern is expected due to the statistical tendency for extreme values to regress towards the mean.

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Answer:

Let the number be x.

According to the question;

x+2= 32-2x

3x=30

x=10

Hope this will help:-)

Answer:

17,224 ft^3 to nearest cubic foot.

Step-by-step explanation:

Volume of grain it can hold

= volume of hemisphere + volume of the cylinder

= 1/2 * 4/3 * 3.14 * 11^3 + 3.14 * 11^2 * 38

= 2786.23 + 14437.72

= 17223.95

Answer:

(2a-4) (a+9). I hope this helps you a lot :)

the mean and the median of the given data set are 16.75 and 9.5 respectively.

The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. The term "average" is frequently used to describe this measure of central tendency.

Given,  A data set 8, 9, 10, 40

From the general formula of mean:

mean =  (sum of observations) ÷ (total number of observations).

mean = (8 + 9 + 10+ 40)/4

mean = 67/4

mean = 16.75

Since the median is:

The median is the value that's exactly in the middle of a dataset when it is ordered. It's a measure of central tendency that separates the lowest 50% from the highest 50% of values.

Thus,

the median of the given data set = (9 +10)/2

the median of the given data set =  9.5

Therefore, the mean and the median of the given data set are 16.75 and 9.5 respectively.

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Answer:

Exact Form:

1

81

Decimal Form:

0.01234567

…

Step-by-step explanation:

Answer:

To solve for an equation with two variables, substitute a zero(0) into the other variable and find one variable.

Step-by-step explanation:

To solve for an equation with two variables, substitute a zero(0) into the other variable and find one variable.

Simple Example:

3x+3y=12

Substitute 0 as y,

3x+0=12

3x=12

12/3=4

x=4

Now substitute 4 into the main equation,

3(4)+3y=12

12+3y=12

-12      -12

3y=0

0/3=0

y=0

So the answer is

3(4)+3(0)=12

12=12

Answer:

C is the answer your looking for

Answer:

523.2 students

Step-by-step explanation:

87.2%×600=523.2 students

Answer:

523.2

Step-by-step explanation:

SEE THE IMAGE FOR SOLUTION

HOPE IT HELPS

HAVE A GREAT DAY

In general, the distance between two points (x1, y1) and (x2, y2) in a Cartesian coordinate system can be calculated using the distance formula:

d = sqrt ((x2 - x1) ^2 + (y2 - y1) ^2)

where d is the distance between the points. However, the specific coordinates of points B and C or more information about their location would be needed to apply this formula.

The distance formula that we have just seen is the standard Euclidean distance method, it can become a bit limited. We often do not want to find just the distance between two points. Many time we have to calculate the distance from a point to a line or to a circle.

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Answer:

The 4th one cuz it’s a percent

Step-by-step explanation:

The probability of an event not happening is called complement. So, the complement probability of event A refers to the probability of not happening.

Answer:

12/40

Step-by-step explanation:

match the denominators so have 6/30 be multiplies with 40/40 and 12/40 multiplied with 30/30

6/30(40/40) = 240/1200

12/40(30/30) = 360/1200

As we can see, 360/1200 is bigger than 240/1200, therefore 12/40 is bigger

Answer: \(\frac{12}{40}\)

Step-by-step explanation:

Hey there!

-If we were to simplify \(\frac{6}{30}\) we would be able to simplify it to \(\frac{1}{5}\).

-Multiply \(\frac{6}{30}\) by 100 and you get 20 .

-Now compare that with \(\frac{3}{10}\) which is \(\frac{12}{40}\) simplified.

-Multiply \(\frac{12}{40}\) by 100 and you get 30.

-We can now tell that \(\frac{12}{40}\) is greater than \(\frac{6}{30}\).

~I hope I helped :)~

Answer:

enlarge the equilateral triangle and put -2

Step-by-step explanation: