t in the following dot plot represents the number of chocolate chips in one cookie in a package.
A dot plot has a horizontal axis labeled Number of chocolate chips numbered from 0 to 10. Dots are plotted above the following: 2, 1; 3, 2; 4, 4; 5, 2; 6, 1; 7, 1.
A dot plot has a horizontal axis labeled Number of chocolate chips numbered from 0 to 10. Dots are plotted above the following: 2, 1; 3, 2; 4, 4; 5, 2; 6, 1; 7, 1.
Find the interquartile range (IQR) of the data in the dot plot.

A. The equation to find the distance of the flowerbed from the hive is:  

x/20 +x/12 +900 = 1200, where x is the distance.

B.  The flowerbed is 2250 feet far from the hive.

Suppose, the distance of the flowerbed from the hive is x  feet.

The bee flies 20 feet per second directly to a flowerbed from its hive and flies directly back to the hive at 12 feet per second.

As, time = distance/speed

So, the time taken by the bee to reach the flowerbed x/20  seconds and the time taken to fly back to the hive = x/12  seconds.

The bee stays at the flowerbed for 15 minutes or (15×60)seconds or 900 seconds and it is away from the hive for a total of 20 minutes or (20×60)seconds or 1200 seconds.

So, the equation will be;

x/20+x/12 +900 = 1200

8x = 60 x 300

8x =18000

x = 18000/8

=2250

Therefore , the distance of the flowerbed from the hive is 2250 feet.

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The value of ∣∣2 5/6 + y∣∣ is 55/12 or 4 7/12/ The Option D.

To evaluate the expression, substitute y = 7/4 into the given expression:

∣∣2 5/6 + (7/4)∣∣

Simplify expression inside the absolute value:

= 2 5/6 + 7/4

= (12/6 + 5/6) + (21/12)

= 17/6 + 21/12

To add the fractions, we need a common denominator:

17/6 + 21/12 = (2 * 17)/(2 * 6) + 21/12

= 34/12 + 21/12

= 55/12

Take absolute value of 55/12:

∣55/12∣ = 55/12

∣55/12∣ = 4 7/12.

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The "empirical rule" or "68-95-99.7 rule" states that for a normal distribution:

Approximately 68% of the data falls within 1 standard deviation of the mean.

Approximately 95% of the data falls within 2 standard deviations of the mean.

Approximately 99.7% of the data falls within 3 standard deviations of the mean.

Therefore, about 95% of the data lies within 2 standard deviations of the mean in a normal distribution.

Using the Empirical Rule, it is found that about 95% of the data lies within 2 standard deviations of the mean in a normal distribution.

It states that, for a normally distributed random variable:

Hence, 95% is the answer for this question.

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Answer:

B.

Step-by-step explanation:

hope this helps!!

Answer:

I think the asnwer A or B !!

Step-by-step explanation:

Answer:

270

Step-by-step explanation:

the arc length is the same as the angle. the right triangle shows 90... so subtract 360 by 90 and you get 270.

pretty sure that how you get it or it might be the angle but yeah, hope this helps

The after simplification of the expression 1 over 6x + 3 over 4 ( 1 over 2x - 4), we get (26 - 144)/48x.

We need to simplify 1 over 6x + 3 over 4 ( 1 over 2x - 4)

1/6x + 3/4 (1/2x - 4)

1/6x +3/4 ((1 - 8x)/2x)

1/6x + (3 - 24x)/8x

(8 + 6(3 - 24x))/(6x8) x

(8 + 18 - 144x)/48x

(26 - 144)/48x

Therefore, the after simplification of the expression 1 over 6x + 3 over 4 ( 1 over 2x - 4), we get (26 - 144)/48x.

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The statement that best describes the data represented in the box plots is option B.

A box plot, also known as a box-and-whisker plot, is a graphical representation of a set of numerical data through their quartiles. It is useful for visualizing the distribution of data and identifying outliers.

The box in the plot represents the interquartile range (IQR), which is the range between the first and third quartiles (Q1 and Q3), and the line inside the box represents the median (Q2).

The 1st quartile is 135. The 3rd quartile is 195. To find the interquartile, you would subtract the 3rd quartile from the 1st quartile. 195-135=60. The interquartile range for the spring musical is 60

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False. Cronbach's alpha is a measure of internal consistency reliability, not a measure of the correlation between scale items.

It assesses the extent to which the items in a scale or questionnaire are measuring the same underlying construct.

Cronbach's alpha is calculated based on the inter-item correlations among the items in a scale. It provides a measure of the average correlation between all possible pairs of items in the scale. The range of Cronbach's alpha is between 0 and 1, with higher values indicating greater internal consistency or reliability.

Essentially, Cronbach's alpha quantifies the extent to which the items in a scale are consistently measuring the same construct or concept. It assesses how well the items "hang together" as a reliable measurement tool.

While correlation between scale items is related to internal consistency, Cronbach's alpha specifically measures the degree to which the items are interrelated and provides a single coefficient that reflects the overall reliability of the scale. It does not directly indicate the extent of item-item correlations or the strength of individual item contributions to the scale.

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Answer:

16

Step-by-step explanation:

50-42=8

8 times 2 is 16

Answer:

16

Step-by-step explanation:

42+8=50 then you double that number and 8x2 is 16 therefore the number must be 16

The measure of the third angle in Elise angle measurement is

The third angle of the triangle is solved with knowledge of sum of angles on a triangle being equal to 180 degrees and a triangle having three angles

say the third angle measure is x, so we have that

30 + 100 + x = 180

130 + x = 180

collecting like terms

x = 180 - 130

x = 50

we can therefore say that the third angle is 50 degrees

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Answer:

$126

Step-by-step explanation:

100 * 0.08 = 8

100 * 0.18 = 18

100 + 8 + 18 = 126

The graph has y-intercept (0,5) and increases with a constant ratio of 3.

A function in mathematics is a connection between a set of inputs (sometimes referred to as the domain) and a set of outputs (also referred to as the range). Each input value is given a different output value.

The y-intercept lies at (0, 5) because the value of the function at x=0 is 530 = 5. The 'constant ratio' is 3, meaning that any increment of 1 in x causes the function value to grow by a factor of 3. (That serves as the exponential term's foundation.)

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Missing parts;

Which of the following statements is true for a function with equation f(x) = 5(3)*?

The graph has y-intercept (0,5) and increases with a constant ratio of 3.

The graph has y-intercept (0, 3) and decreases with a constant ratio of 3.

The graph has y-intercept (0, 3) and increases with a constant ratio of 5.

The graph has y-intercept (0,5) and decreases with a constant ratio of 3.

Answer:A & C

Step-by-step explanation:

f(5)& g(2)= 14; f(1) & g(0)= 2

Answer:

y=-3x+3..........(1)

6x+2y=6

putting value of y

6x+2(-3x+3)=6

6x-6x+6=6

o=0

sorry I do not get answer

Answer:

x=1, y=0

Step-by-step explanation:

The number of terms in geometric series with common ratio 0.5 is 5.

A geometric series is a set of integers where each term following the first is created by multiplying the term before it by a predetermined value called the common ratio. To put it another way, each term in the series is created by multiplying the term before it by a set integer.

The sum of a finite geometric sequence is given by the formula:

\(S = a(1 - r^n)/(1 - r)\)

Where, S is the sum of the series,

a is the first term,

r is the common ratio, and n is the number of terms.\(55.5625 = 28(1 - 0.5^n)/(1 - 0.5)\\\\55.5625(1 - 0.5) = 28(1 - 0.5^n)\\27.5625 = 28 - 28(0.5)^n\\0.4375 = (0.5)^n\\n = log(0.4375)/log(0.5)\\n = 4.17\)

Rounding the numbers, we have n = 5.

Hence, the number of terms in geometric series is 5.

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Answer: It means Undo

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

6 and 4 are factors of 12

6, 12

4, 8, 12

Answer:

m = 56

Step-by-step explanation:

The same way you would solve an equation.

m/-14 < -4

multiply both sides by -1

-1(- m/14) < -1 (-4)

since you are multiplying by a negative number, invert the inequality sign

m/14 > 4

multiply both sides by 14

m = 4 * 14

m = 56

Step-by-step explanation:

\(y = \frac{2x}{5} \)

crossmultiply

\(5y = 2x\)

divide both side by 2, to make x alone

x = 5y / 2

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Yes, given explanation is correct.if the calculated test statistic is less than -1.645 then the null hypothesis can be rejected.

For test the claim that the proportion of people who smoke is less than 22.5%.

A one-tailed test of hypothesis can be used. Specifically, a one-sample z-test for a proportion can be used where:

Null hypothesis: p ≥ 0.225 (the proportion of people who smoke is equal to or greater than 22.5%)

Alternative hypothesis: p < 0.225 (the proportion of people who smoke is less than 22.5%)

The test statistic for the one-sample z-test for a proportion is calculated as:

z = (p - P0) / √[(P0 × (1 - P0)) / n]

where p is the sample proportion, P0 = the hypothesized proportion under the null hypothesis and n = The sample size.

If the calculated test statistic falls in the rejection region which is determined by the chosen significance level (e.g., alpha = 0.05) then the null hypothesis can be rejected and it can be concluded that there is evidence to support the claim that the proportion of people who smoke is less than 22.5%.

For a one-tailed test with alpha = 0.05, the critical value is -1.645.

Hence, if the calculated test statistic is less than -1.645 then the null hypothesis can be rejected.

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Is the relation a function:

To determine if the relation is a function, we need to check if there is exactly one output for each input.

Looking at the given set of points, we see that there are two points with an x-coordinate of -1: (-1, 3) and (-1, -2).

This means that there are two outputs for the same input, so the relation is not a function.

Therefore, the correct answer is: "No, because for each input there is not exactly one output."

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The solution to the equation is 23

From the question, we have the following parameters that can be used to solve the question

7 - 5p + 3q

Also, we have the following values

p = 1 and q = 7

Substitute the know values in the given expression, so we have the following representation

7 - 5(1) + 3(7)

Evaluate the products

This gives

7 - 5 + 21

Evaluate the like terms

23

Hence the solution is 23

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Answer:

5 batches of bagels-15 cups of flour

1 batch of bagels - 15 cups is flour/5

=3 cups of flour(ciro)

20 batches of bagels-15 cups of flour ×4

=60 cups of flour(johanna)

Answer:

b ÷ 2 or b/2

Step-by-step explanation:

Quotient means division which is represented by "÷" or "/".

b ÷ 2 or b/2

Best of Luck!

Step-by-step explanation:

The horse eats 9/12 in 9 days.