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4 years ago

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Mary had swimming lessons every 3rd day and diving lessons every fifth day. If she had a swimming lesson and a diving lesson on

January 6th, when is the next date on which she will have both a swimming and diving lesson?

2 answers:

Rina8888 [55]4 years ago

6 0

15 days later, on the 21st.

Arte-miy333 [17]4 years ago

4 0

Mary will have Both swimming and diving lessons on January 14

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Determine The mean,median,mode, and range for each data set A. {2,2,7,9,10}

Zarrin [17]

Answer:

Mean: 6, Median: 7, Mode: 2, Range: 8

Step-by-step explanation:

<h3>Mean:</h3>

The mean is the average of the data set.

Add all the terms together:

$2+2+7+9+10=\\4+7+9+10=\\11+9+10=\\20+10=\\\boxed{30}$

Divide the sums by the number of terms:

There are 5 terms in the data set.

$30/5=6$

<u>The mean is 6.</u>

<h3>Median:</h3>

The median is the middle value of the data set.

The data set given already has the numbers in ascending order.

Seven appears to be in the middle of the set.

{2,2,<u>7</u>,9,10}

<u>The median is 7.</u>

<h3>Mode:</h3>

The mode is the number that appears the most in a data set.

The number two appears twice in the data set, and all other numbers (7, 9, and 10) appear once.

<u>The mode is 2. </u>

<h3>Range:</h3>

The range is the difference between the largest data value in the set and the smallest data value in the set.

In the given set, 10 is the biggest and 2 is the smallest.

10 - 2 = 8

<u>The range is 8. </u>

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3 years ago

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A heart shaped chocolate box is composed of one square and two half circles. The total number of chocolates in the box is calcul

Scrat [10]

Answer:

4²+3²+2=69

Step-by-step explanation:

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3 years ago

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Given: ZW and ZY are right angles; VX = ZX;X is the midpoint of WY

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Step-by-step explanation:

Statements

2. ∆VWX = ∆ZYX are right triangles

4. WX = YX

5. ∆VWX = ∆ZYX

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3. Given

5. By HyL congruence Theorem

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3 years ago

Use the data to find the interquartile range. [Note: Type your answers as numbers. Do not round.] Movie Ticket Fees at a Local T

Tanya [424]

Answer:

The Inter quartile range is $2.25.

Step-by-step explanation:

The Inter quartile range (<em>IQR</em>) is a quantity which tells amount of data contained between the first quartile (<em>Q</em>₁) and third quartile (<em>Q</em>₃).

The IQR can be computed using the formula:

$IQR=Q_{3}-Q_{1}$

The first quartile (<em>Q</em>₁) is well defined as the mid-value between the minimum value and the median of the data set. Or the mid-value of the first half of the data set is the first quartile.

The third quartile (<em>Q</em>₃) is the mid-value amid the median and the maximum value of the data set. Or the mid-value of the second half of the data set is the Third quartile.

The data set in arranged order is:

S = {$6.50, $8.75, $9.75, $10.25, $11.00, $12.75}

The first half of the data set is:

S₁ = {$6.50, $8.75, $9.75}

The mid-value is $8.75.

The first quartile is, <em>Q</em>₁ = $8.75.

The second half of the data set is:

S₁ = {$10.25, $11.00, $12.75}

The mid-value is $11.00.

The first quartile is, <em>Q</em>₃ = $11.00.

Compute the Inter quartile range as follows:

$IQR=Q_{3}-Q_{1}$

$=11.00-8.75\\=2.25$

Thus, the Inter quartile range is $2.25.

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3 years ago

Find the equation of a parabola that has a vertex (3,5) and passes through the point (1,13)<br>

Vinvika [58]

Answer:

y = 2( x-3)^2 +5

Step-by-step explanation:

The vertex form of a parabolic functions is

y = a( x-h)^2 +k

where (h,k) is the vertex

y = a( x-3)^2 +5

Substituting the point into the equation

13 = a( 1-3)^2 +5

13 = a*( -2)^2 +5

13 = 4a +5

Subtract 5

8 = 4a

Divide by 4

8/4 =a

2=a

y = 2( x-3)^2 +5

4 0

3 years ago