In quadrilateral ABCD, AD || BC
What must the length of segment AD be for the
quadrilateral to be a parallelogram?
B
8 units
O 16 units
3x + 7
5x - 9
31 units
62 units
С
D

Answer:

as my caculation the answer is : 11.3137 m3

Step-by-step explanation:

i use my caculator

Based on the box and whisker plot shown above, we can infer and logically deduce that the number of lepilemures have a minimum at 0 but are well spread.

A box and whisker plot is also referred to as boxplot and it can be defined as a type of chart that can be used to graphically represent the five-number summary of a data set with respect to locality, skewness, and spread. Also, the five-number summary include the following:

By critically observing the box and whisker plot shown above, we can infer and logically deduce that the data (number of lepilemures) have a minimum at 0 but are well spread.

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Answer:

-7 is -7 units away from zero. Its opposite is 7 from zero.

Step-by-step explanation: Count from 0 how many digits away it is

Answer:

0.5n

Step-by-step explanation:

1.5 = 3k

where k = constant of proportionality

Divide

k = 1.5/3

k = 0.5

Therefore, the equation is p = 0.5n

The years of education as per the given equation, for a person whose father had 14 years of education is 14.966 years.

What is education?

A planned activity, education has objectives like knowledge transmission or character and skill development. The development of understanding, reason, kindness, and honesty may be some of these goals.

As given in the question,

respondent's years of education is represented by y, and

respondent's father years of education is represented by x,

The equation for the least squares regression line for predicting a respondent's years of education is given as:

y = 9.996 + 0.355x

The year of education of respondent's father is given as 14

So putting the value of x in the given equation as 14:

we get,

y = 9.996 + 0.355(14)

y = 14.966

Hence, the years of education for a person whose father had 14 years of education is 14.966 years.

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The amount insurance company will pay is $700000.

We are given that

Age of Mr. lewis= 63

Policy value= $700,000

Now,

If Mr. Lewis dies after paying for the policy for 24 months, he would have paid a total of 24 * $72 = $1728 in premiums. Since he has a five-year level-term life insurance policy with a face value of $700,000, his beneficiaries would receive the full face value of the policy if he dies within the five-year term.

Therefore, by algebra the answer will be $700000.

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If u= (-10,-3) and v= (4,8) . Proj vu is  is (640/109, 192/109).

Using this formula to determine the projection of v onto u (proj vu)

proj vu = ((v dot u) / (||u||)^2) × u

Where:

v dot u = dot product of v and u

||u|| = magnitude of u

First step is to find  the dot product of v and u:

v dot u = (-104) + (-38)

v dot u = -40 - 24

v dot u = -64

Second step to to calculate the magnitude of u:

||u|| = √((-10)^2 + (-3)^2)

||u|| = √(100 + 9)

||u|| = √(109)

Let plug in the formula

proj vu = ((-64) / (√(109))^2)× (-10,-3)

proj vu = (-64 / 109) × (-10,-3)

proj vu = (640/109, 192/109)

Therefore  the correct option is A.

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Answer:

1/2

Step-by-step explanation:

1. divide by 18 on both sides

2. Than divid by 2 on both sides

Answer:

it between a and c

Step-by-step explanation:

hope it helps

Answer:

y = -3x - 1

hope this helps!

The simplified form of -20/2(7 2/3) is -230/3.

To solve the expression -20/2(7 2/3), we need to follow the order of operations, which states that we should perform the operations inside parentheses first, then any multiplication or division from left to right, and finally any addition or subtraction from left to right.

First, let's convert the mixed number 7 2/3 to an improper fraction.

7 2/3 = (7 * 3 + 2) / 3 = 23/3

Now, let's substitute the value back into the expression:

-20/2 * (23/3)

Next, we simplify the multiplication:

-10 * (23/3)

To multiply a fraction by a whole number, we multiply the numerator by the whole number:

-10 * 23 / 3

Now, we perform the multiplication:

-230 / 3

Therefore, the simplified form of -20/2(7 2/3) is -230/3.

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Answer:

D: 15 and 2

Step-by-step explanation:

Mean

To find the mean, or average, add up all the values in the data set,then divide by the number of values in the data set.

1. Add up all the values

Values: 14, 14, 15, 15, 16, 15, 15, 16

Add them :14+14+15+ 15+16+15+15+16=120

120

2. Divide by the number of values

Count how many numbers are in the data set. In this case there are 8. Divide 120 by 8.

120/8=15

The mean is 15

Range

To find the range, subtract the smallest number in the set from the biggest number in the set.

14, 14, 15, 15, 16, 15, 15, 16

Biggest number: 16

Smallest number: 14

biggest-smallest

16-14=2

The range is 2

Therefore, the answer is D: 15 and 2

observation means number.

mean= sum of all observation ÷ number of observation

= 14+ 14+ 15+ 15+ 16+ 15+ 16

7

= 105

7

= 15

range= the highest observation - lowest observation

= highest number- 16

lowest number- 14

= 16-14

= 2

therefore the answer is

OPTION- D 15;2

Answer: Statistic

Step-by-step explanation: The difference between a parameter and statistic lies in the set of observation from which either quantity is derived. The parameter represents numerical values which are derived by examining or considering an entire population while the statistic is used to define numerical quantities derived from subset of the population called the sample. In the scenario described above, the population of interest would be the entire population of student and hence statistical derivations made would be called parameters. However, the scenario only experimented using student from two different classes which is a subset of the entire population of student. Hence, the obtained mean values of 25.40 and 20.41 for students in the formal and informal classes are categorized as statistic.

The present value of the continuous income stream is $384,615.38, and the future value of the continuous income stream is $465,579.91.

We have,

The future value (FV) of a continuous income stream can be calculated using the formula:

FV = PV x e^(rt)

where e is the mathematical constant approximately equal to 2.71828, r is the continuous interest rate, and t is the time period in years.

Substituting the given values, we get:

FV = 384615.38 x e^(0.013*12) = $465,579.91

Therefore,

The present value of the continuous income stream is $384,615.38, and the future value of the continuous income stream is $465,579.91.

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Answer:

H0 : μ = 38

H 1 : μ < 38

Test statistic = - 1.11

Pvalue = 0.13

We conclude that there is no significant evidence to support the claim that mean caffeine content is less than 38 milligram.

Step-by-step explanation:

H0 : μ = 38

H 1 : μ < 38

The test statistic :

(xbar - μ) ÷ (s / sqrt (n))

(36.1 - 38) ÷ (10.8 / sqrt(40))

-1.9 ÷ 1.7076299

= - 1.113

= - 1.11 ( 2 decimal places)

α = 0.10

Using the value calculator :

P(Z < - 1.113) = 0.13285

Pvalue = 0.13285

Pvalue = 0.13 ( 2 decimal places)

Reject the Null if Pvalue < α

Since; 0.13285 > 0.01 ; We fail to reject the Null

We conclude that there is no significant evidence to support the claim that mean caffeine content is less than 38 milligram.

Answer:

779 kg

Step-by-step explanation:

5,000 g = 5 kg, 784 - 5 = 779

Answer:

(6,5)

Step-by-step explanation:

In (1,2), 1 is is x so any number added to it goes to the right or left.  2 is y so any number added to it goes up or down.  It says translate right 5 units so that will be for x, a.k.a 1.  

1+5= 6 (new x)

Same with y, a.k.a 2.  It says up 3 units, so it must mean add on to y.

2+3= 5 (new y)

We now take our new values and put them back in the parentheses:

(6,5)

Answer:

-3 and -8

Step-by-step explanation:

Let the two numbers be called a and b respectively. We can say that ab=-24, and a+b=-11.

If a+b=-11, a=-11-b.

ab=-24

(-11-b)b=-24

b²+11b+24=0

(b+3)(b+8)=0

b=-3, b=-8

a=-11-b=-11+3=-8

a=-11-b=-11+8=-3

So the numbers are -3 and -8

Answer:

The maximum profit the florist will earn from selling celebration bouquets is $725.

The florist will break-even after one-dollar decreases when her profit is zero. From the graph, this occurs at x = 10. So the florist will break-even after 10 one-dollar decreases.

The interval of the number of one-dollar decreases for which the florist makes a profit from celebration bouquets is (0, 10). This is because the profit is positive for values of x between 0 and 10, and becomes negative after 10.

Step-by-step explanation:

The value of  values of t for which the ball's height is 7 meters then is 4.79secs.

Velocity can be regarded as a vector measurement of the rate as well as direction of motion.

It is the the speed at which something moves in one direction and with the given velocity, the time as well as the distance can be calculated as :

Given:

h=2+25t-5t^2

But h=7

Then 2+25t-5t^2=7

-5t^2++25t +2-7=0

-5t^2+25t -5=0

we can then factorize as :

-5(t^2+5t -1)=0

Solving the equation using quadratic formula, the the roots of equations are: 4.79  and -5.0

The value of  values of t for which the ball's height is 7 meters then is 4.79secs.

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COMPLETE QUESTION :

A ball is thrown from an initial height of 2 meters with an initial upward velocity of 25 m/s . The ball's height h (in meters) after t seconds is given by the following. h=2+25t-5t^2

Find all values of t for which the ball's height is 7 meters.

Round your answer(s) to the nearest hundredth.

9514 1404 393

Answer:

  nonagon

Step-by-step explanation:

The adjacent exterior angle is 180° -140° = 40°. There are 360°/40° = 9 of those angles around the regular polygon, so it is 9-sided.

The polygon is a nonagon.

Answer:

 nonagon

Step-by-step explanation:

i got 100%

We can express the values of cos 192 and tan 372 in terms of m cos 192 = -m tan 372 = sin 12 / m.

To find the values of cos 192 and tan 372 in terms of m, we can use trigonometric identities and the given value of cos 12 = m.

1. Finding cos 192:

We can use the cosine function's periodicity to rewrite cos 192 in terms of cos 12. Note that cos (180 + 12) = cos 180 * cos 12 - sin 180 * sin 12. Since cos 180 = -1 and sin 180 = 0, we have:

cos 192 = cos (180 + 12) = -1 * cos 12 - 0 * sin 12 = -cos 12 = -m.

Therefore, cos 192 can be expressed as -m.

2. Finding tan 372:

We know that tan θ is equal to sin θ divided by cos θ. Using the periodicity of the tangent function, we can rewrite tan 372 in terms of cos 12.

tan 372 = tan (360 + 12) = tan 12.

To express tan 12 in terms of m, we can use the identity tan θ = sin θ / cos θ.

tan 12 = sin 12 / cos 12.

Since we are given cos 12 = m, we can rewrite tan 12 as sin 12 / m.

Therefore, tan 372 can be expressed as sin 12 / m.

In summary:

cos 192 = -m

tan 372 = sin 12 / m

Using the given value of cos 12 = m, we can express the values of cos 192 and tan 372 in terms of m as described above.

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The expression is simplified to 2

It is important to note that the table of exact values for trigonometric identity differ with the particular identity in study.

From the table of exact values, we have that;

sin 15 = 0. 25

sin 30 = 0. 5000

sin 45 = 0. 7071

sin 60 = 0. 8600

sin 75 = 0. 9659

sin 90 = 1

To determine the value of the expression, we have to substitute the value of sin 30 as 0. 5000

4 sin 30°

⇒ 4 × 0. 5000

multiply through

⇒ 2

The value determined is 2

Thus, the expression is simplified to 2

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The Fourth Choice

\(x > -7\)

Please refer to the attached image for the graph

Given:

\(2x +5 > -9 \text{ or } -3x +2 < 14\)

Let's solve for the \(2x +5 > -9\) part of the Compound Inequality first.

\(2x +5 > -9 \\ 2x > -9 -5\\ 2x > -14 \\ x > \frac{-14}{2} \\ x > -7\)

Now, let's solve \(-3x +2 < 14\):

\(-3x +2 < 14 \\ -3x < 14 -2\\ -3x < 12 \\ x > \frac{12}{-3} \\ x > -4\)

We can now rewrite our Compound Inequality as \(x > -7 \text{ or } x > -4\). However, we can further simplify it by rewriting it as \(x > -7\) only since the values \(-7 < x \leqslant -4\) are already greater than \(-7\) anyway.

Answer:

56

Step-by-step explanation:

25% = 14

Therefore,

25%*4 = 14*4

100% = 56

Answer:

AB= \(\sqrt(5-1)^2 +(2+1)^2 = \sqrt16+9 =5\)

BC= \(\sqrt(5-9)^2 + (2-5)^2 = \sqrt16+9=5\)

AC = \(\sqrt(1-9)^2 + (-1-5)^2 = \sqrt64+36 = 10\)

So, AC = AB + BC

A, B, C are collinear points

Step-by-step explanation:

I hope this helps!

Answer:

x=-4 is true, x=6 is not

Step-by-step explanation:

5x + 7 < 22

Plug in our X values

5(-4) + 7 < 22 ?

solve

-20 + 7 < 22

-13 < 22 ?

x=-4 is true.

Repeat steps from ^

5(6) + 7 < 22

30 + 7 < 22

37 < 22 ?

x=6 is not true.

Hope this helped

Answer:

False

Step-by-step explanation:

5(-4) + 7 < 22

-20 + 7 < 22

-14 < 22

5(6) + 7 < 22

30 + 7 < 22

37 < 22

The statement would be false because when applying 6 to the equation, the equation becomes false.

On the other hand, when applying -4 to the equation, the equation becomes true, but since both -4 and 6 HAVE to be BOTH solutions to the equation, the statement becomes false.

The random number x satisfies Poisson distribution of probability and the probability that there are 8 occurrences in ten minutes is 0.0241 and The probability that there are less than 3 occurrences is 0.0659.

Given,

The random variable x is the number of occurrences of an event over an interval of ten minutes. It can be assumed that the probability of an occurrence is the same in any two time periods of an equal length. It is known that the mean number of occurrences in ten minutes is 5.3.

1) A Poisson distribution characterizes the random variable x that is provided.

2) Having 8 occurrences in 10 minutes is likely based on the following formula:

P(X = 8) = (e^(-5.3) * 5.3^8) / 8! = 0.0241 (rounded to four decimal places) (rounded to four decimal places)

Consequently,

(a) 0.0241 is the correct response.

3) The likelihood that there are fewer than 3 occurrences is as follows:

P(X 3) = P(X = 0), P(X = 1), and P(X = 2) = (e(-5.3) * 5.30), (e(-5.3) * 5.31), and (e(-5.3) * 5.32), respectively, / 0!, / 1/1, and / 2/ respectively, / 2! = 0.0659 (rounded to four decimal places)

Accordingly,

(a) 0.0659 is the correct response.

The random number x satisfies Poisson distribution of probability and the probability that there are 8 occurrences in ten minutes is 0.0241 and The probability that there are less than 3 occurrences is 0.0659.

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The random number x satisfies Poisson distribution of probability and the probability that there are 8 occurrences in ten minutes is 0.0241 and The probability that there are less than 3 occurrences is 0.0659.

Given,

The random variable x is the number of occurrences of an event over an interval of ten minutes. It can be assumed that the probability of an occurrence is the same in any two time periods of equal length. It is known that the mean number of occurrences in ten minutes is 5.3.

1) A Poisson distribution characterizes the random variable x that is provided.

2) Having 8 occurrences in 10 minutes is likely based on the following formula:

P(X = 8) = (\(e^(-5.3)\) * \(5.3^8\)) / 8! = 0.0241 (rounded to four decimal places) (rounded to four decimal places)

Consequently,

(a) 0.0241 is the correct response.

3) The likelihood that there are fewer than 3 occurrences is as follows:

P(X 3) = P(X = 0), P(X = 1), and

P(X = 2) = (\(e(-5.3)\)* 5.30), (\(e(-5.3)\)* 5.31), and (\(e(-5.3)\) * 5.32),

respectively, / 0!, / 1/1, and / 2/ respectively, / 2! = 0.0659 (rounded to four decimal places)

Accordingly,

(a) 0.0659 is the correct response.

The random number x satisfies Poisson distribution of probability and the probability that there are 8 occurrences in ten minutes is 0.0241 and The probability that there are less than 3 occurrences is 0.0659.

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