The ratio of m angle wxz to m angle zxy is 11:25. what is m angle zxy

Answer:

w≤−6

Step-by-step explanation:

Yur welcome :)

Answer:

w is less than or equal to -6.

Step-by-step explanation:

The mean absolute deviation for the group of household incomes is approximately 14.8 (rounded to the nearest tenth).

To calculate the mean absolute deviation (MAD) for a group of data, we follow these steps:

Find the mean (average) of the data set.

Subtract the mean from each data point, obtaining the deviations.

Take the absolute value of each deviation.

Find the mean of the absolute deviations.

Given the household incomes for 10 different households:

38, 45, 76, 93, 50, 54, 29, 44, 62, 31

Let's calculate the MAD step by step:

Find the mean (average):

Mean = (38 + 45 + 76 + 93 + 50 + 54 + 29 + 44 + 62 + 31) / 10

Mean = 482 / 10

Mean = 48.2

Calculate the deviations:

Deviation for each data point = Data point - Mean

Deviation for 38 = 38 - 48.2 = -10.2

Deviation for 45 = 45 - 48.2 = -3.2

Deviation for 76 = 76 - 48.2 = 27.8

Deviation for 93 = 93 - 48.2 = 44.8

Deviation for 50 = 50 - 48.2 = 1.8

Deviation for 54 = 54 - 48.2 = 5.8

Deviation for 29 = 29 - 48.2 = -19.2

Deviation for 44 = 44 - 48.2 = -4.2

Deviation for 62 = 62 - 48.2 = 13.8

Deviation for 31 = 31 - 48.2 = -17.2

Take the absolute value of each deviation:

Absolute deviation for each data point = |Deviation|

Absolute deviation for -10.2 = 10.2

Absolute deviation for -3.2 = 3.2

Absolute deviation for 27.8 = 27.8

Absolute deviation for 44.8 = 44.8

Absolute deviation for 1.8 = 1.8

Absolute deviation for 5.8 = 5.8

Absolute deviation for -19.2 = 19.2

Absolute deviation for -4.2 = 4.2

Absolute deviation for 13.8 = 13.8

Absolute deviation for -17.2 = 17.2

Find the mean of the absolute deviations:

Mean Absolute Deviation (MAD) = (10.2 + 3.2 + 27.8 + 44.8 + 1.8 + 5.8 + 19.2 + 4.2 + 13.8 + 17.2) / 10

MAD = 148 / 10

MAD = 14.8

To the nearest tenth, this means that the mean absolute deviation for the group of household incomes is around 14.8.

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Answer:

c

Step-by-step explanation:

in order for it to be a triangle the smaller sides have to add up to be greater than the longest side

for a 5+14=19 so that is not a triangle because the  side dont add up to be greater than 19

for b 14+8=22 so that is also not a triangle because the sides dont add up to be greater than 24

for c 5+15=20 so that is a triangle because to 2 shorter sides added are greater than the longest side

for d 14+9=23 so that is not a triangle because the two smaller sides dont add up to be greater than 24

The answers to each part is mentioned above.

Given is that Aiko works in the fish department of a pet store. She must drain, clean, and refill two reef tanks. The first tank hold 175 gallons of water and drains at a rate of 25 gallons per hour. The second tank holds 200 gallons of water and drains at a rate of 30 gallons per hour.

Equation for tank {1} -

y = 175 - 25x

Equation for tank {2} -

y = 200 - 30x

For the solution we can write -

175 - 25x = 200 - 30x

- 25x + 30x = 200 - 175

5x = 25

x = 5

and

y = 200 - 150

y = 50

For the same amount of water we can write -

175 - 25x = 200 - 30x

- 25x + 30x = 200 - 175

5x = 25

x = 5 hours

In tank (1), there is : 175 - 25 x 5 = 50 gallons

In tank (2), there is : 200 - 30 x 5 = 50 gallons

Therefore, the answers to each part is mentioned above.

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Answer:

a=19

Step-by-step explanation:

8=1/3(a+5)            by dividing both sides by 1/3

24 = a+5              get 5 to other side with oposite sign

24-5 = a

a = 19

Answer:

a = 19

Step-by-step explanation:

8 = \(\frac{1}{3}\) ( a + 5) ← multiply both sides by 3 to clear the fraction

24 = a + 5 ( subtract 5 from both sides )

19 = a

Answer:

square root of 20

Step-by-step explanation:

Answer:

sq root of 20

Step-by-step explanation:

The present value of the annuity is $4,813.52.

To calculate the present value of the annuity, we can use the formula for the present value of an increasing annuity:

PV = C * (1 - (1 + r)^(-n)) / (r - g)

Where:

PV = Present Value

C = Payment amount at time t=1

r = Interest rate

n = Number of payments

g = Growth rate of payments

In this case:

C = $300

r = 8% or 0.08

n = Number of payments = Last payment amount - First payment amount / Growth rate + 1 = ($1000 - $300) / $50 + 1 = 14

g = Growth rate of payments = $50

Plugging in these values into the formula, we get:

PV = $300 * (1 - (1 + 0.08)^(-14)) / (0.08 - 0.05) = $4,813.52

Therefore, the present value of this annuity is $4,813.52. This means that if we were to invest $4,813.52 today at an interest rate of 8%, it would grow to match the future cash flows of the annuity.

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Answer:

m∠ABD = 88º

m∠CBD = 23º

Step-by-step explanation:

(-10x + 58) + (6x + 41) = 111

Combine like terms

-4x + 99 = 111

Subtract 99 from both sides

-4x = 12

Divide both sides by -4

x = -3

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

m∠ABD = -10x + 58

m∠ABD = -10(-3) + 58

m∠ABD =  = 30 + 58

m∠ABD = 88º

m∠CBD = 6x + 41

m∠CBD = 6(-3) + 41

m∠CBD = -18 + 41

m∠CBD = 23º

Answer:

88, 23

Step-by-step explanation:

<ABD + <DBC = <ABC

(-10x + 58) + (6x + 41) = 111

-10x + 58 + 6x + 41 = 111

99 - 4x = 111

-4x = 111-99

-4x = 12

x = 12/-4

x = -3

m∠ABD = -10x + 58

m∠ABD = -10(-3) + 58

m∠ABD =  = 30 + 58

m∠ABD = 88º

<DBC = 6x + 41 = 6*-3 + 41 = -18 + 41 = 23

Hope it helps u

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Answer:

6 cups

Step-by-step explanation:

Given that:

Volume of water held in cup when full = 125ml

Number of cups it will take to fill a jug which holds 3/4 L

Converting mL to L:

1000 mL = 1 L

Volume of water in cup when full = 125 / 1000 = 0.125 L

Jug which holds 3/4 L = 0.75 capacity

Hence, number of cups it'll take :

0.75 / 0.125

= 6

It will take 6 cups of 125mL to fill 3/4 L

10pack------------>$17.35

1 pack-------------->x

using cross multiplication

10/1 = 17.35/x

Solving for x:

x = 17.35/10 = $1.735

Therefore each pack costs $1.735

To test the hypothesis that weight gain during pregnancy is associated with infant's birth weight, Pearson's correlation coefficient (option B) would be an appropriate statistical test.

In this scenario, the goal is to examine the association between two continuous variables: weight gain during pregnancy (independent variable) and infant's birth weight (dependent variable). Pearson's correlation coefficient is used to measure the strength and direction of the linear relationship between two continuous variables.

Option A, the Chi-square test, is not appropriate as it is used to analyze categorical variables, such as comparing frequencies or proportions between different groups.

Option C, a paired t-test, is used when comparing means of a continuous variable within the same group before and after an intervention or treatment, which does not align with the current scenario.

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Answer:

c = 4.

Step-by-step explanation:

If p(x) is divisible by  (x-3) then p(3) = 0 (By the Factor Theorem), so

-(3)^3 + (3)^2c - 4(3) + 3 = 0

-27 + 9c - 12 + 3 = 0

9c = 27 + 12 - 3

9c = 36

c = 4.

Answer:

4

Step-by-step explanation:

Therefore , the solution of the given problem of Test statistic comes out to be 0.20 would be the p-value again for two-sided t-test.

The test statistic for something akin to a Z-test has been the Z-statistic, which shows the usual normal null hypothesis to be correct. Suppose you perform a 2 X y test with a 0.05 threshold of significance and, based on your data, you obtain a 2.5 R t (also defined as a Z-value). 0.0124 is the p-value for the this Z-value.

Here,

The chance of getting a test statistic that is as extreme as, or much more extreme than, the student's test statistic, given the null hypothesis is correct, is 0.10 if the p-value for an each t-test is 0.10.

Assuming the null hypothesis is true, the p-value for a 2 t-test would be twice the chance of getting a test statistic that is as extreme as, or more extreme than, the shows the reliability statistic in either tail of the distribution.

Consequently, the following would be the two-sided t-p test's value:

P-value (two-sided) equals 2 * P-value (one-sided) equals 2 * 0.10 and equals 0.20.

Therefore, 0.20 would be the p-value again for two-sided t-test.

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Answer:

Step-by-step explanation:

its 100%

There are 15 different positive divisors (greater than 1) for the number m³pt. Here m, p, and t are distinct prime numbers. This is obtained by the prime factorization method.

The following are the steps to find the number of positive factors of a number:

Step 1: Find the L.C.M of the number by using the prime factorization method. For example: consider the number 24. Then, its prime factorization is as follows:

24 = 2 × 2 × 2 × 3

Step 2: Same bases should be added in powers. So, the factors we can write as

24 = 2³ × 3¹

Step 3: To find the number of positive factors of the number, the exponents of the prime factors is multiplied by adding 1.

I,e., N = (3 + 1)(1 + 1) = 4 × 2 = 8.

So, there are 8 factors for the number 32. They are 1, 2, 3, 4, 6, 8, 12, and 24.

It is given that, m, p, and t are distinct positive prime numbers.

Then, the number of positive divisors greater than 1 for the number m³pt are

m³× p × t

Since m, p, and t are prime factors, we can multiply their power by adding 1 to them. I.e.,

N = (3 + 1) (1 + 1) (1 + 1) = 4 × 2 × 2 = 16

So, there are a total of 16 factors for the given number (including 1). So, the number of factors greater than 1 is 16 - 1 = 15.

Therefore, there are 15 different positive divisors greater than 1 for the number having prime factors as m³pt.

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Answer:

6,543

Step-by-step explanation:

This is my guess ONLY.

Answer:

104 ft^2

Step-by-step explanation:

area of rectangle = 8 × 10 = 80

area of triangle = 1/2 × 6 × 8 = 24

∴total area = 104 ft^2

In terms of measuring precision, the graduated cylinder is typically a more precise measuring tool compared to a balance. This can be understood by considering the concept of significant figures.

Significant figures are the digits in a number that carry meaning regarding its precision. When using a balance, the precision is determined by the readability of the scale and the accuracy of the measurements.

For example, if the balance reads to the nearest gram, the measurements will have one decimal place of precision. Therefore, the number of significant figures obtained from a balance measurement is limited by the readability of the scale.

On the other hand, a graduated cylinder is a measuring tool used for volume measurements. The graduations on the cylinder provide a greater level of precision compared to a balance.

For instance, a graduated cylinder with milliliter graduations may allow for measurements with two or three decimal places, providing a higher degree of precision in the recorded value.

To illustrate this, let's consider an example. If we are measuring the mass of an object on a balance that reads to the nearest gram, the result might be 10.0 grams.

This measurement has three significant figures. However, if we are measuring the volume of a liquid in a graduated cylinder with milliliter graduations, the measurement might be 10.00 milliliters. This measurement has four significant figures, indicating a higher precision.

Therefore, in terms of the number of significant figures, the graduated cylinder generally provides a more precise measurement compared to a balance.

However, it's important to note that precision alone does not guarantee accuracy, as the accuracy of any measurement tool depends on factors such as calibration and user technique.

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By SAS theorem the triangle ABC is similar to triangle DEF.

A triangle is a three-sided polygon that consists of three edges and three vertices.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

The triangles ABC and DEF are similar triangles.

To find the theorem which can be used to verify triangle ABC is similar to DEF.

Now,, By figure,

There are one angle are common.

And, Ratio of two sides are equal.

The SAS states that if two corresponding sides in two triangles are of the same length, and the angles between these sides in those two triangles are also equal in measure so two triangles are congruent.

Hence, by SAS theorem the triangle ABC is similar to triangle DEF.

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Answer:

its too blurry

Step-by-step explanation:

Answer:

slope intercept form is -2/3 for the first one

Answer:

n = -5/2

Step-by-step explanation:

4n - 2 = 6n + 3

-2 = 2n + 3

-5 = 2n

n = -5/2

Answer:

soh cah toa

Step-by-step explanation:

The soh mean when you want to find the sine of an angle you divide the opisite side by the hypotonus or o/h. The cah means when you want to find the cosine of an angle, you divide the adjasent line by the hypotonus or a/h. The toa means whe you want to find the tanjent of an angle, you divide the opisite line ny the adjecent line or o/a. Hope that helps with soh cah toa!

The 95% confidence interval for the true proportion of all auto accidents involving teenage drivers is approximately (0.1205, 0.1927).

To find the 95% confidence interval for the true proportion of all auto accidents involving teenage drivers, we can use the formula for the confidence interval for a proportion.

The formula for the confidence interval is:

CI = p1 ± Z * √((p1 * (1 - p1)) / n)

Where:

CI is the confidence interval,

p1 is the sample proportion (proportion of accidents involving teenage drivers),

Z is the Z-score corresponding to the desired confidence level (95% confidence level corresponds to Z ≈ 1.96),

n is the sample size (number of accidents checked).

Given:

Number of accidents checked (sample size), n = 582

Number of accidents involving teenage drivers, x = 91

First, we calculate the sample proportion:

p1 = x / n = 91 / 582 ≈ 0.1566

Now we can calculate the confidence interval:

CI = 0.1566 ± 1.96 * √((0.1566 * (1 - 0.1566)) / 582)

Calculating the standard error of the proportion:

SE = √((p1 * (1 - p1)) / n) = √((0.1566 * (1 - 0.1566)) / 582) ≈ 0.0184

Substituting the values into the formula:

CI = 0.1566 ± 1.96 * 0.0184

Calculating the values:

CI = 0.1566 ± 0.0361

Finally, we can simplify the confidence interval:

CI = (0.1205, 0.1927)

Therefore, the 95% confidence interval for the true proportion of all auto accidents involving teenage drivers is approximately (0.1205, 0.1927).

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the explicit rule of the nth term of the arithmetic

sequence is A. aₙ = 6n-8

                    B. aₙ = 6n-26

                     C. aₙ= 6n-26

                     D. aₙ =6n-14

the sequence of numbers having constant differences between two successive numbers.

the explicit formula is used for determining any term of an arithmetic sequences directly in where only the first term and differences between two consecutive terms are needed to know.

Given, -20,-14,-8,-2,...are the terms. an explicit rule for the nth term of the arithmetic sequence is given by the formula, aₙ=a₁+(n-1) d

where, a₁ is the first term, aₙ is the nth term, d is the difference between two terms, n is the number of terms.

as per question a₁= -20, d= 6

now A. aₙ = -20+6(n+2)

           aₙ = 6n-8

B. aₙ= -20+6(n-1)

 aₙ = 6n-26

C. aₙ =-20+6(n-1)

   aₙ = 6n-26

D. aₙ= -20+6(n+1)

  aₙ = 6n-14

the above are the explicit rules for the arithmetic sequence.

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Minimum Increment operations to make Array unique

The UNIQUE function will return an array, which will spill if it's the final result of a formula. This means that Excel will dynamically create the appropriate sized array range when you press ENTER .

ArrayList is like an array behind the scenes as it’s backed by an array of type java.lang.Object in java.

Normally arrays are fixed in size which means the number of elements that can be added are fixed and cannot be increased once created. ArrayList can dynamically increase in size once the array that backs is full so, these way we won’t encounter runtime exceptions.

When we say list.get(0), it’s equivalent to array[0]. It can be said the ArrayList is a kind of more convenient way to use dynamic arrays.

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The speed of the boat in still water is 5 km/h.

Let's denote the speed of the boat in still water as "v" (in km/h). Since the boat travels 2 km upstream and 2 km downstream, we know that the total distance traveled is 4 km.

Let's first calculate the time taken to travel 2 km upstream. We know that the current is flowing at 2 km/h, so the effective speed of the boat relative to the river is (v - 2) km/h (since it is going against the current). Therefore, the time taken to travel 2 km upstream is

time taken = distance / speed = 2 / (v - 2) hours

Similarly, the time taken to travel 2 km downstream is

time taken = distance / speed = 2 / (v + 2) hours

The total time taken for the round trip (2 km upstream and 2 km downstream) is given as 11 minutes, which is equivalent to (11/60) hours. Therefore, we can write

2 / (v - 2) + 2 / (v + 2) = 11/60

Multiplying both sides by (v - 2)(v + 2) gives

2(v + 2) + 2(v - 2) = (v - 2)(v + 2)(11/60)

Simplifying the right-hand side gives

(v - 2)(v + 2)(11/60) = (11/3)v^2 - 44/3

Substituting this expression into the previous equation and simplifying gives

22v = (11/3)v^2 - 44/3

Multiplying both sides by 3 gives

66v = 11v^2 - 44

Rearranging and solving for v using the quadratic formula gives

v = (11 ± √(11^2 + 4×44))/22

Taking the positive solution (since v must be positive) gives

v = 5 km/h

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Answer:

D. 10

Step-by-step explanation:

\({ \sf{(12x + 12) \degree = 79\degree + (5x + 3)\degree}} \\ { \sf{ \{outer \: angle \: is \: equal \: to \: sum \: of \: inner \: angles \}}} \\ { \sf{12x - 5x = 79 + 3 - 12}} \\ { \sf{7x = 70}} \\ { \sf{x = 10}}\)

Answer:

-15.1

Step-by-step explanation:

Two negative numbers add the same way as positive numbers, so it is -(7.5 + 7.6) or -15.1.

Answer:

There is no image for me to help u

Step-by-step explanation:

Answer:

What's the question? And what subject?

Answer:

80%

Step-by-step explanation:

160 of 200

160/200=0.8

move the decimal point over to the right 2 times

then u have 0.80

80%