Lines AB and CD are parallel. If mN is 64°, then what is mY?
A.
64°
B.
26°
C.
154°
D.
116°

Answer:

19.30

Step-by-step explanation:

if your finding the discounted price, you'd take 20% and turn it into .20 and then subtract 19.50 and .20

Answer:

The better bar to buy is the Nutty Crunch

Step-by-step explanation:

4.74 / 6 = 0.79 per bar

7.80 / 10 = 0.78 per bar

:)

Answer:

Nutty Crunch is better

Step-by-step explanation:

Answer: Each woman sold her apples at the rate of seven apples for I¢, and 3¢ each for the odd ones which were left over. this made it possible for each to receive the same amount, which is 20¢.

Step-by-step explanation:

given data:

20,

40,

60,

80,

100,

120,

140.

solution.

first woman 20 apples

= 2 + 3 * 6¢.

= 20¢.

second woman 40 apples

= 5 + 5 * 3¢.

= 20¢.

third woman 60 apples

= 8 + 4 * 3¢.

= 20¢.

fourth woman 80 apples

= 11 + 3 * 3¢.

= 20¢.

fifth woman 100 apples

= 14 + 2 * 3¢.

= 20¢.

sixth woman 120 apples

= 17 + 1 * 3¢.

= 20¢.

seventh woman 140 apples

= 20 * 1¢.

= 20¢.

The correct answer is Option C. A researcher might choose purposive sampling over systematic sampling for several reasons. One key reason is that purposive sampling allows the researcher to study a particular type of participant.

This means that the researcher can select individuals who possess specific characteristics or traits that are relevant to their study.

By handpicking participants, the researcher can ensure that the sample represents the specific population they are interested in studying, which is particularly useful when investigating rare or hard-to-reach populations.

On the other hand, systematic sampling involves selecting participants at regular intervals from a larger population.

This method may not provide the same level of control in selecting participants based on specific characteristics.

While systematic sampling can be more efficient in terms of time and cost, it may not be suitable for certain research objectives that require a targeted approach.

It is important to note that neither method is inherently cheaper or more expensive than the other, and the choice between them depends on the research objectives and the specific population under investigation.

Therefore, option A is incorrect.

Option B is also incorrect because external validity is still important in research regardless of the sampling method chosen.

Option D is also incorrect since researchers using purposive sampling must still specify their population of interest.

Thus, the correct answer is option C.

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Answer:-1.6 or 19/-16

Step-by-step explanation:

i’m pretty sure this is the answer.

Answer:-1.583

Step-by-step explanation:

12+7²÷7 and then divide that by 9-20÷ 4-16

which would give you 19÷-12

Answer:

15 cm

Step-by-step explanation:

When the rectangular sheet rolled along its length, the breadth becomes the height of the cylinder, and the length becomes the circle, so the height is 15 cm

The  interquartile range describes the middle 50% of values when ordered from lowest to highest.

What is  interquartile range ?

The interquartile range (IQR) is the range of values that resides in the middle of the scores. When a distribution is skewed, and the median is used instead of the mean to show a central tendency, the appropriate measure of variability is the Interquartile range.

So , it is clear that  When a distribution is skewed, and the median is used instead of the mean to show a central tendency, the appropriate measure of variability is the Interquartile range.

Hence , the  interquartile range describes the middle 50% of values when ordered from lowest to highest.

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Answer:

25: 6,000

26: 450

27: 70,000,000

28: 10,500

29: 3,052

30: (cant really see the exponent but I think its 10^5)  500,000

31: 9.87

32: 5.43

Answer: 3/52

Step-by-step explanation:

You want to pick a diamond jack, diamond queen or diamond king

There are only 3 of those so

P(DJ or DQ or DK) = 3/52        There are 3 of those out of 52 total

Answer:

The smallest integer is 8

Step-by-step explanation:

2( x + 4 ) < 4x - 6

4x - 6 > 2x + 8

2x > 14

x > 7

The smallest integer is 8

Answer:

22.47

Step-by-step explanation:

7/100 = 0.07 (the tax rate) 21 * 0.07 = 22.47, the tax adds on 1.47

a. The recursive formula for the number of tulips Marko has is: \(Tn = Tn-1 + 5\), where Tn is the number of tulips in year n and Tn-1 is the number of tulips in year n-1.

b. The explicit formula for the number of tulips Marko has is: Tn = 20 + 5n, where Tn is the number of tulips in year n and n is the number of years since Marko started planting.

c. If this trend continues, there will be 90 tulips in 10 years.

d. If this trend continues, it will take Marko 40 years to have 200 tulips.

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Answer:yes

Step-by-step explanation:

Based on the hospital data provided, the rate of twin births among very young mothers is not the same as the national rate reported in 2011. The rate for teenage girls is approximately 1.49%, which is lower than the overall national rate of 3%.

According to the national vital statistics report in 2011, the rate of twin births among all births was around 3%. However, data from a large city hospital found that only 7 sets of twins were born to 469 teenage girls. This suggests that the rate of twin births among very young mothers is lower than the national average.

t's important to note that the data from the hospital may not be representative of the entire population, as it only includes births from one specific location. Additionally, there may be other factors at play that could affect the likelihood of a twin birth among young mothers, such as genetics or medical history.

The 2011 National Vital Statistics Report indicated that the rate of twin births was 3%. To compare this with the rate among teenage girls in the large city hospital, we need to calculate the rate for that specific group.

In the hospital data, there were 7 sets of twins born to 469 teenage girls. To calculate the twin birth rate among these young mothers, we can use the following formula:

Twin Birth Rate = (Number of Twin Births / Total Number of Births) x 100

Now, plug in the numbers from the hospital data:

Twin Birth Rate = (7 / 469) x 100 ≈ 1.49%

The calculated twin birth rate among teenage girls in the large city hospital is approximately 1.49%. Comparing this to the national rate of 3%, it appears that the rate of twin births among very young mothers is lower than the overall national rate.

Therefor, based on the hospital data provided, the rate of twin births among very young mothers is not the same as the national rate reported in 2011. The rate for teenage girls is approximately 1.49%, which is lower than the overall national rate of 3%.

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Answer:

1152 dollars (assuming there are four weeks per month)

Step-by-step explanation:

For this question, we should first figure out how much money you make per week. If you make 12 dollars each hour, and you work for 6 hours a day, then you earn 12*6, or 72 dollars a day. If you would for 4 days a week, and you earn 72 dollars each day, that means you earn 72*4, or 288 dollars a week.

Let's assume that a month has 4 weeks. Since you earn 288 dollars a week, each month, you earn 288*4, or 1152 dollars

Using trigonometric relations we will see that the value of g is 3.8

Notice there are two right triangles, and both of them share the angle Z.

Then we can use trigonometric relations, one for each of the triangles using angle Z.

sin(Z) = g/5    (for the smaller triangle)

Sin(Z) = 12/hypotenuse   (for the larger triangle)

Now let's find the hypotenuse of the largest triangle, it is:

H = √(12² + 5²) = 15.8

Then the two equations are:

sin(Z) = g/5

Sin(Z) = 12/15.8

Then we can write:

g/5 = 12/15.8

Solving it for g:

g = 5*(12/15.8)

g = 3.8

That is the value of g.

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Answer:

43690

Step-by-step explanation:

hope u understand it

The number of small size and large size bowls of ice cream sold in the shop is 40 and 22 respectively.

let

Number of small bowl = x

Number of large bowl = y

x + y = 63

2.25x + 3y = 159

From (1)

x = 63 - y

Substitute into (2)

2.25x + 3y = 159

2.25(63 - y) + 3y = 159

141.75 - 2.25y + 3y = 159

- 2.25y + 3y = 159 - 141.75

0.75y = 17.25

divide both sides by 0.75

y = 17.25 / 0.75

y = 23

Substitute y = 23 into (1)

x + y = 63

x + 23 = 63

subtract 23 from both sides

x = 63 - 23

x = 40

In conclusion, The ice cream shop sold 40 small size bowls and 23 large size bowls

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Answer: = 18/35

Step-by-step explanation:

37÷56

=3×67×5

=1835

=1835

Answer:

18.1cm

Step-by-step explanation:

11cm - 4cm = 7cm

16² - 7²

256 - 49 = 207

√207 = 14.387

x = 14.4

√14.39²+11²=√207+121= √328= 18.1cm

AC=18.1cm

I hope this helps ^_^

Answer:

x = 3/4

Step-by-step explanation:

1. Rearrange terms

2x - 1 = 5 - 6x

2x - 1 = -6x + 5

2. Add 1 to both sides of the equation. We want to get rid of -1.

2x -1 = -6x + 5

    +1            +1

-------------------------

2x = -6x + 6

3. Simplify.

2x + 6x = 6

8x = 6

6/8 = 3/4

Then, the answer is 3/4.

Hope this helps.

Answer:

x = 7

Step-by-step explanation:

BD is an angle bisector of ∠ABC,

Therefore, by angle bisector theorem,

∠ABD ≅ ∠CBD

m∠ABD = m∠CBD

(2x + y) = (14 + y)

2x = 14

x = 7

Answer:

1/3 of a chance or 0.3

Step-by-step explanation:

Answer:

the answer is D

Step-by-step explanation:

The system of inequalities that best represents this situation provided A denotes the area of the entire field is: \(\mathbf{\left \{ {{A\geq 2x^2+10x+300 } \atop {A \leq 1200}} \right. }\)

Word problems in mathematics are ways we can use variables, algebra notations, and arithmetic operations to solve real-life cases.

From the given information;

We have a new addition to the current rectangular field,

From the above information, we can derive a quadratic equation:

Also, we are given a constraint that the entire area of the practice field should be no more than 1200. i.e. It can be less than 1200 or equal to 1200.

Thus, the system of inequalities that best represents this situation provided A denotes the area of the entire field is:

\(\mathbf{\left \{ {{A\geq 2x^2+10x+300 } \atop {A \leq 1200}} \right. }\)

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The dimension of the row space of A is equal to the number of rows of A, which is equal to the number of pivot positions in A. Since there are 12 rows in a 12 x 9 matrix, the largest possible dimension of the row space of a 12 x 9 matrix is 9. The correct option is (B).

This is because a matrix with more rows than columns, the largest possible dimension of the row space is equal to the number of rows, while for a matrix with more columns than rows, the largest possible dimension of the row space is equal to the number of pivot positions.

Since there are 9 rows in a 9 x 12 matrix, there are a maximum of 9 pivot positions in A and 3 non-pivot columns. Therefore, the largest possible dimension of the row space of a 9 x 12 matrix is 9 as well.

The dimension of the row space of matrix is the number of linearly independent rows in the matrix. The row space is spanned by the row vectors of the matrix. The row space is also the orthogonal complement of the null space, which is the space of all solutions to the equation Ax = 0, where A is the matrix and x is a column vector.

For a matrix with more rows than columns, like a 12 x 9 matrix, there will be at most 9 pivot positions, and the largest possible dimension of the row space is equal to the number of rows, which is 12. However, it is unlikely that all rows are linearly independent, so the actual dimension of the row space may be less than 12.

For a matrix with more columns than rows, like a 9 x 12 matrix, there will be at most 9 pivot positions, and the largest possible dimension of the row space is equal to the number of pivot positions, which is 9. The remaining 3 columns must be non-pivot columns, and their corresponding rows are linear combinations of the pivot rows.

Therefore, the row space can have at most 9 linearly independent rows. The correct answer is (B).

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The value of z is 70 according to the information provided.

The line segment of a triangle connecting any two of it's own sides at their midpoints is considered to be parallel toward the triangle's third side and to have half its length, in accordance with the midpoint theorem.

Contrary to the Mid Point Theorem Statement: The third side of a triangle is divided by a line that is drawn through the center of one side and runs parallel to another side.

According to mid point theorem

HK = 1/2 IJ

z - 37 = 1/2 (z - 4)

2z - 74 = z - 4

2z - z = 74 - 4

z = 70

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Answer:

y>3

Step-by-step explanation:

9>-3y

3<y

y>3

Answer:

-3 < y

Step-by-step explanation:

11 > -3y + 2

Subtract 2 from each side

11-2 > -3y + 2-2

9> -3y

Divide by -3 remembering to flip the inequality

9/-3 < -3y/-3

-3 < y