Use the frequency distribution, which shows the number of American voters (in millions) according to age, to

find the probability that a voter chosen at random is in the 18 to 20 years old age range

Ages

18 to 20

21 to 24

25 to 34

35 to 44

45 to 64

65 and over

Frequency

4.2

7.8

20.8

23.7

50.1

28 2

Date

07/2

3:29

The probability that a voter chosen at random is in the 18 to 20 years old age range is 0.0311

(Round to three decimal places as needed.)

07/2

8:52

Question Viewer

07/1

8:03

07/1

5:46

>

07/1

12:2

07/1

5:39

07/1

2:42

Question is complete. Tap on the red indicators to see incorrect answers.

07/1

12:00

Answers

Answer 1

Answer:

The probability that a voter chosen at random is in the 18 to 20 years old age range is =  4.2/ 134.8= 0.0311572

Step-by-step explanation:

We can find the probability by simply dividing the frequency of the ages range of 18-20 by the total frequency.

Ages                Frequency

18 to 20             4.2

21 to 24             7.8

25 to 34           20.8

35 to 44           23.7

45 to 64           50.1

65 and over       28.2

∑                        134.8

The probability of an event is given by the occurrence of an event by the total occurrences .

So

Here the occurrence of ages 18-20 is given by 4.2

and the total frequency is 134.8

The probability that a voter chosen at random is in the 18 to 20 years old age range is =  4.2/ 134.8= 0.0311572


Related Questions

Jamal has two investments, one in Company A, and another in Company B. Jamal purchased 300 shares in Company A at $1.45 per share. Since purchasing the shares, the price per share increased to $1.65 per share, after which Jamal decided to sell, realizing a profit. At the same time, Jamal purchased 200 shares in Company B at $1.20 per share. Since purchasing the shares, the share price fell to $1.10 per share, after which Jamal decided to sell the shares, suffering a loss. Calculate the total profit that Jamal received from his two investments.

Answers

Answer:

$20

Step-by-step explanation:

Company A:

Buy 300 shares at $1.45 per share.

Sell 300 shares at $1.65 per share.

Profit: ($1.65 - $1.45) * 300 = $60

Company B:

Buy 200 shares at $1.20 per share.

Sell 200 shares at $1.10 per share.

Loss: ($1.20 - $1.10) * 200 = $20

Net profit:

$40 - $20 = $20

Answer:

Step-by-step explanation:

Profit on Company A =$(1.65−1.45)×300=$60.

Loss on Company B =$(1.20−1.10)×200=$20.

Therefore the total profit Jamal achieved was $60−$20=$40.

Can someone do this assuming that it is infinite and as well as assuming it's not infinite? Thanks!

Answers

Answer:

see below

Step-by-step explanation:

4,7,12,19

We are adding 3,5,7,9..... each time

The sequence is not arithmetic because we are not adding a constant.  It is not geometric since we are not multiplying by a constant term each time

There is no common difference  or common ratio.

The explicit formula is

an =n^2 +3

 

The recursive formula is

(n+1)^2 +3 - (n^2 +3)

    n^2 +2n+1+3 - ( n^2+3)

      2n+1

a sub(n+1) = a sub( n) + 2n+1

The 10th term

an      = n^2 +3

Let n=10

an = 10^2+3

    = 100+3

    = 103

summation

see image

since the numbers are increasing and greater than 1 the sum does not exist

the principal p is borrowed at a simple interest rate r for a period of time t. find the loan's future value g P = 700, r = 8.25, t = 3 months

Answers

Answer:

Hey there!

Simple interest formula: I=PRT

I=700(8.25)(0.25)

I=1443.75

Hope this helps :)

Answer:

Step-by-step explanation:

I = PRT

I = 700(0.0825)(1/4) = 14.44

Because the interest is usually in percentage and it's impossible to have 825% as your interest rate. So the actual interest rate has to be 0.0825.

The formula above calculated the interest, if you want the total, you will need to add 700 to that number.  

[img id="5156824"][/img]

Here's a small quick example of the formula that should help.

Which statements are true about triangle QRS?

Select
three options.

Answers

Answer:

The side opposite <Q is RS

The hypothenuse is QR

The side adjacent to <Q is QS

Step-by-step explanation:

Side RS is directly opposite <Q. The first statement provided in the options is correct.

The side that is opposite to <R is QS. The second statement in the options is not correct.

The longer leg of a right triangle is always the hypotenuse. Side QR in ∆QRS is the hypotenuse. The third statement given in the options is correct.

The side adjacent to <R is not SQ. RS is the side adjacent to <R. The fourth statement in the given options is not correct.

Side QS is adjacent to <Q. The fifth option is correct.

Answer:

A, C, E

Step-by-step explanation:

on edge! hope this helps!!~ (‐^▽^‐)

Henry is investing at a continuously compounded annual interest rate of 4.5%. How many years will it take for the balance
to triple? Round your answer up to the nearest whole number, and do not include the units in your answer.

Answers

Answer:

1 year

Step-by-step explanation:

Hello,

Continuously compounding with an annual interest rate of 4.5% means multiplying the initial investment by (for t tears).

[tex]\displaystyle e^{(1+4.5\%)t}=e^{\left( 1.045\cdot t \right) }[/tex]

So we need to find t so that:

[tex]\displaystyle e^{\left( 1.045\cdot t \right) }=3\\\\1.0.45t=ln(3)\\\\t=\dfrac{ln(3)}{1.045}=1.051304...[/tex]

Rounding to the nearest whole number gives 1 year.

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

25

Step-by-step explanation:

Trust me

All human blood can be "ABO-typed" as O, A, B, or AB, but the distribution of the types varies a bit among groups of people. Here are the distributions of blood types for a randomly chosen person in China and in the United States:The probability O A B ABChinese 0.35 0.27 0.26 0.12American 0.45 0.4 0.11 0.04Suppose we randomly select an American and a Chinese, independently of each other, apply multiplication and addition probability rules, compute:a. Pr(They both have type O)b. Pr( they both have the same blood type)c. Pr( at least one person has type O)

Answers

Answer:

a. Pr(They both have type O)

= Pr(They both have type O)

= 0.35 x 0.45

= 0.1575 = 15.75%

b. Pr( they both have the same blood type)

= Pr( they both have the same blood type)

= 2/8

= 0.25 = 25%

c. Pr( at least one person has type O)

= Pr (at least one person has type O)

= 1 - 0.3575

= 0.6425 = 64.25%

Step-by-step explanation:

a) Data:

                   O       A         B       AB

Chinese   0.35   0.27    0.26     0.12

American 0.45   0.4      0.11       0.04

b) Calculations:

i. Pr(They both have type O)

= Probability of Chinese with O multiplied by Probability of American with O

= 0.35 * 0.45

= 0.1575 = 15.75%

ii. Pr( they both have the same blood type)

= Probability of two out of 8 outcomes

= 2/8

= 0.25 = 25%

iii. Pr( at least one person has type O)

= Probability of (1 – p(none) )

The probability of none = p(none O blood type)

= p(none)

for Chinese = (0.27 + 0.26 + 0.12) * for American ( 0.4 + 0.11 + 0.04)

= 0.65 * 0.55 = 0.3575

Pr (at least one person has type O) = 1 - 0.3575

= 0.6425

According the the U.S. Department of Education, full-time graduate students receive an average salary of $15,000 with a standard deviation of $1,200. The dean of graduate studies at a large state university in PA claims that his graduate students earn more than this. He surveys 100 randomly selected students and finds their average salary is $16,000. Use a significance level of 0.05 to test if there is evidence that the dean's claim is correct. What are the hypotheses

Answers

Answer:

Step-by-step explanation:

Given that :

population Mean = 15000

standard deviation= 1200

sample size n = 100

sample mean = 16000

The null and the alternative hypothesis can be computed as follows:

[tex]\mathtt{H_o : \mu = 15000 }\\ \\ \mathtt{H_1 : \mu > 15000}[/tex]

Using the standard normal z statistics

[tex]z = \dfrac{\overline X - \mu}{\dfrac{\sigma }{\sqrt{n}}}[/tex]

[tex]z = \dfrac{16000 -15000}{\dfrac{1200 }{\sqrt{100}}}[/tex]

[tex]z = \dfrac{1000}{\dfrac{1200 }{10}}[/tex]

[tex]z = \dfrac{1000\times 10}{1200}[/tex]

z = 8.333

degree of freedom = n - 1 = 100 - 1 = 99

level of significance ∝ = 0.05

P - value from the z score = 0.00003

Decision Rule: since the p value is lesser than the level of significance, we reject the null hypothesis

Conclusion: There is sufficient evidence  that the Dean claim for his graduate students earn more than average salary of $15,000

Dean's Claim of Average Salary = 16000, ie greater than 15000 : is correct

Null Hypothesis [ H0 ] : Average Salary = 15000

Alternate Hypothesis [ H1 ] : Average Salary > 15000

Hypothesis is tested using t statistic.

t = ( x - u ) / ( s / √ n ) ; where -

x = sample mean , u = population mean , s = standard deviation, n = sample size

t = ( 16000 - 15000 ) / ( 1200 / √100 )

= 1000 / 120

t  {Calculated} = 8.33,

Degrees of Freedom = n - 1 = 100 = 1 = 99

Tabulated t 0.05 (one tail) , at degrees of freedom 99 = 1.664

As Calculated t value 8.33 > Tabulated t value 1.664 , So we reject the Null Hypothesis in favour of Alternate Hypothesis.

So, conclusion : Average Salary > 15000

To learn more, https://brainly.com/question/17099835?referrer=searchResults

A mechanic ground 6 valves in 25 minutes. At that rate,
how long will it take to grind 45 valves of the same kind?​

Answers

Answer:

3hours and 12.5 minutes

Step-by-step explanation:

45/6=7.5x25=187.5/60=3hours and 12.5 minutes

What is the correct answer and how can this be solved?

Answers

Answer:

A. 0,2,0,2

Step-by-step explanation:

Firstly, Insert 1-4 into [tex]u^n=1+(-1)^n[/tex]

[tex]u^1=1+(-1)^1\\1+(-1)1=0\\\\\\\\u^2=1+(-1)^2\\\\1+1=2\\\\\\u^3=1+(-1)^3\\\\1+(-1)^3=0\\\\\\\\u^4=1+(-1)^4\\\\1+(-1)^4=2\\[/tex]

Simple explanation, for the first number.

-1+1=0

For the second number we are saying, -1*-1=1

and then 1+1=2

For the third number we are saying, -1*-1*-1=-1

-1+1=0

For the fourth number we are saying, -1*-1*-1*-1=1

1+1=2

IQ scores have a mean of 100 and a standard deviation of 15. What percentile corresponds to an IQ score of 115? Explain the steps you took to find the percentile.

Answers

Answer:

The percentile that corresponds to an IQ score of 115 is 34.13 %

Step-by-step explanation:

Here, we want to find the percentile that corresponds to an IQ score of 115.

To calculate this percentile, we start with making observations. From the question, we are told that the mean score is 100 while the standard deviation is 15.

Now we want to find the percentile for a score if 115. For a score of 115, we can see that the difference between this score and the mean is 15 which is exactly equal to the standard deviation.

What this means is that the score is within +1 SD of the mean.

For a score of within +1 SD of the mean, the percentile is 34.13%

A score at the mean is the 50th percentile, a score which is 1 SD above or below the mean has a percentile value of 34.13%

Please, I will like you to check the attachment to see how percentiles are valued given the number of standard deviations a particular value is from the mean.

Question (2)

ASAP Please help.

Construct the "Square root spiral". Take a large sheet of paper and construct the "Square root spiral" in the following fashion.

Start with a point O and draw a line segment [tex]\rm{P_{1} P_{2}}[/tex] perpendicular to [tex]\rm{OP_{1}}[/tex] of unit length. Now draw a line segment [tex]\rm{P_{2} P_{3}}[/tex] perpendicular to [tex]\rm{OP_{2}}[/tex] . Then draw a line segment [tex]\rm{P_{3} P_{4}}[/tex] perpendicular to [tex]\rm{OP_{3}}[/tex]. Continuing in this matter, you get line segment of unit length perpendicular to [tex]\rm{OP_{n-1}}[/tex]. In this manner, you will have created the points [tex]\rm{P_{2}, P_{3},...... P_{n}....}[/tex], and joined them to create a beautiful spiral depicting [tex]\rm{\sqrt{2}, \sqrt{3}, \sqrt{4},...}[/tex]



Answers

Answer:

The "square root spiral," donned the "Spiral of Theodorus" was created by Theodorus to visualize a set of 17 isosceles triangles where [tex]n[/tex] is equal to a value between one and seventeen.

The central angle is attached to a central point, and the side opposite of the central angle is always equal to 1.The hypotenuse of the triangle is equivalent to [tex]\sqrt{n+1}[/tex]. The hypotenuse becomes a leg for the next triangle.

I have attached an image of the Square Root spiral below.

Which property is not used to simplify the following expression 2* (x+5)+7x=(2x+10)+7x

Answers

Distributive property

Hence, the commutative property of addition is not used.

What is an expression?

A mathematical expression is in form of variables and constants separated by their arithmetic operation.

As we know that, there are three types of properties they are associative property which is [tex](a+b) + c = a + (b+c)[/tex],

Distributive property which is [tex]a(b+c) = ab + ac[/tex],

Commutative property which is [tex]a + b = b + a[/tex].

Here given that,

[tex]2 (x+5)+7x=(2x+10)+7x[/tex]      

[tex](2x+10)+7x=(2x+10)+7x[/tex]         ( distributive property of multiplication)

[tex](2x+7x)+10=(2x+7x)+10[/tex]        ( it is associative property of addition)

[tex](8x)+10=(8x)+10[/tex]        ( it is a commutative property)

Hence, the commutative property of addition is not used.

To know more about the distributive property

https://brainly.com/question/24242989

#SPJ5

Find a • b. a = 5i + 7j, b = -4i + 3j

Answers

Answer:

[tex]a \cdot b = 1[/tex]

Step-by-step explanation:

[tex] a = 5i + 7j [/tex]

[tex] b = -4i + 3j [/tex]

[tex] a = a_xi + a_yj [/tex]

[tex]b = b_xi + b_yj[/tex]

[tex] a \cdot b = a_xb_x + a_yb_y [/tex]

[tex] a \cdot b = (5)(-4) + (7)(3) [/tex]

[tex] a \cdot b = -20 + 21 [/tex]

[tex]a \cdot b = 1[/tex]

Answer:

[tex]\boxed{-20i^2 -13ij+21j^2}[/tex]

Step-by-step explanation:

[tex]\sf Plug \ in \ the \ values.[/tex]

[tex](5i+7j) \cdot (-4i+3j)[/tex]

[tex]\sf Expand \ brackets.[/tex]

[tex]5i(-4i+3j)+7j(-4i+3j)[/tex]

[tex]-20i^2 +15ij+-28ij +21j^2[/tex]

[tex]\sf Combine \ like \ terms.[/tex]

[tex]-20i^2 -13ij+21j^2[/tex]

When comparing more than two treatment means, why should you use an analysis of variance instead of using several t tests?

Answers

Answer:

Because it increases the risk of Type 1 error

Step-by-step explanation:

ANOVA is the analysis of the variance .

When comparing more than two treatment means we use ANOVA because a t test increases the risk of type 1 error  .

For example if we wish to compare 4 population means there will be 4C2 = 6 separate pairs and to test the null hypothesis that all four population means are equal would require six two sample t test. Similarly to test 10 population mean would require 45 separate two sample t test.

This has two disadvantages .

First the procedure is too lengthy  and tediuos.

Second the overall level of significance greatly increases as the number of t- tests increases.

The analysis of the variance compares two different estimates of variance using the F distributionto determine whether the population means are equal.

Use the Pythagorean theorem to find the length of the hypotenuse in the triangle shown below.4,3

Answers

Answer:

5

Step-by-step explanation:

a^2 + b^2 = c^2

4^2 + 3^2 = c^2

16 + 9 = c^2

25 = c^2

c = 5

Answer:

5

Step-by-step explanation:

[tex]Hypotenuse = ?\\Opposite = 4\\Adjacent = 3\\\\Pythagoras \: Theorem ;\\\\Hypotenuse^2 =Opposite^2+Adjacent ^2\\\\Hypotenuse^2 = 4^2 +3^2\\\\Hypotenuse^2 = 16+9\\\\Hypotenuse^2 = 25\\\\\sqrt{Hypotenuse^2}=\sqrt{25} \\Hypotenuse = 5[/tex]

Sienna is solving the quadratic equation by completing the square. 3x2 + 9x – 4 = 0 3x2 + 9x = 4 A(x2 + 3x) = 4 What is the value of A? –4 –3 3 4

Answers

Answer:

I am going to show you the first steps to complete squares for the given equation: 1) Starting equation: 3x^2 + 9x -4 = 0 2) Add 4 to both sides => 3x^2 + 9x - 4 + 4 = 4 => 3x^2 + 9x = 4 3) Extract common factor 3 in the left side => 3 (x^2 + 3x). Now, compare with a(x^2 + 3x) and you get a = 3. Answer: a = 3.

Answer:

its c

Step-by-step explanation:

Please help solve for the median !!

Answers

Answer:

Median = 14

Step-by-step explanation:

2, 5, 14, 15, 21, 18, 15, 9, 2

First, order the numbers:

2, 2, 5, 9, 14, 15, 15, 18, 21

Then, cancel out the numbers, starting the first and last number, going outwards in. If there is 1 number left, it is your median. If there are 2 left, add the 2 numbers together and divide them by two:

2, 2, 5, 9, 14, 15, 15, 18, 21

2, 5, 9, 14, 15, 15, 18

5, 9, 14, 15, 15

9, 14, 15

14

The median is 14.

Please tell me if I was wrong! I hope this helps you!

Answer: The median is 14

Step-by-step explanation: The median is the number that is halfway into the data set. To find the median, the data should be arranged in order from least to greatest. For this example.  2,2,5,9,14,15,15,18,21. Find the number that is halfway. which is 14

Find the length of AC¯¯¯¯¯¯¯¯ A. 211.63 B. 44.98 C. 9.35 D. 207

Answers

Answer:

Step-by-step explanation:

tanθ= opp / adj

tan(12) = AC/44

now

AC = tan(12)/44

AC = ...

use calculator to find the value

I just broke mine

if given the diameter how can you find the radius

Answers

Answer:

Divide the diameter by 2.

Step-by-step explanation:

The radius of any circle is always the end to the center.

The diameter is a point of the circle to the opposite side.

This means that the diameter is twice the size of the radius, so to find the radius from the diameter, divide the diameter by 2.

Hope this helped!

Answer:

Divide the diameter by 2. d/2=r

Step-by-step explanation:

If a diameter has been given instead of a radius, you can find the radius by dividing the diameter by 2, for example.

If the diameter was 10, the radius would 10/2=5.

I need some help with this please :)

Answers

Answer:18 ft

Step-by-step explanation: Perimeter=2(L+B)

Perimeter=2(7 + 2)

2×9=18

Answer:

18feet.

Step-by-step explanation:

To find the perimemter of a rectangle, you just add all the sides.

A rectangle has 4 sides in total, where 2 are equal, and the other 2 are als equal.

So, you just add 7+2+7+2, which gives 18.

This is why, the perimeter of this rectangle is 18feet.

Hope this helped, have a nice day!

A baseball player has a batting average of 0.26. What is the probability that he has exactly 2 hits in his next 7 at bats

Answers

Answer:

The probability is  [tex]P(2) = 0.426[/tex]

Step-by-step explanation:

From the question we are told that

         The probability of  success is [tex]p = 0.26[/tex]

          The number of hits is  n =  7

         

Generally this probability follows a binomial distribution given there can only be two outcome i.e the probability of success and the probability of failure

       The probability of failure is  [tex]q = 1- p[/tex]

substituting values

               [tex]q = 1 - 0.26[/tex]

               [tex]q = 0.74[/tex]

Now the probability of  exactly 2 hits in his next 7 at bats is mathematically evaluated as

     [tex]P(2) = \left n} \atop {}} \right. C_2 *p^{2} * q^{n- 2}[/tex]

substituting values

    [tex]P(2) = \left 7} \atop {}} \right. C_2 *p^{2} * q^{7- 2}[/tex]

Here [tex]\left 7} \atop {}} \right. C_2[/tex] means 7  combination 2 and using a calculator(reference calculator soup website) to compute, the value obtained is  

          [tex]\left 7} \atop {}} \right. C_2 =21[/tex]

So

     [tex]P(2) = 21 *(0.26)^{2} * (0.74)^{5}[/tex]

     [tex]P(2) = 0.426[/tex]

There are two pitchers of lemonade in the fridge there are 1.5 gallons of lemonade in 1 pitcher and 9 quarts of lemonade in the other pitcher how many cups of lemonade are there in the fridge

Answers

Answer:

52 cups

Step-by-step explanation:

1 gallon = 4 quarts

1.5 gallons = 6 quarts

6 + 9 = 13 quarts of lemonade in the fridge.

1 quart = 4 cups

13 quarts = 4 × 13 = 52 cups

52 cups of lemonade are in the fridge.

I would really appreciate it if you would mark me brainliest!

Have a blessed day!

Answer:

60 cups

Step-by-step explanation:

1 gal = 16 cups

1 quart = 4 cups

               16 cups

1.5 gal x ------------- = 24 cups

                  1 gal.

                 4 cups

9 quarts x ----------- = 36 cups

                  1 quart

number of cups of lemonade in the fridge = 24 cups + 36 cups = 60 cups

A health insurer has determined that the "reasonable and customary" fee for a certain medical procedure is $1200. They suspect that the average fee charged by one particular clinic for this procedure is higher than $1200.

Explain in context the conclusion of the test if H0 is rejected.

Answers

Answer:

For the null hypothesis to be rejected , then the conclusion of the test is that the absolute values of the z-statistic and/or the t-test statistic is greater than the critical value

Step-by-step explanation:

Here, we want to explain the conclusion of the test given that the null hypothesis is rejected.

Mathematically, the null hypothesis is as expressed as below;

H0: μ = 1,200

The alternative hypothesis H1 would be;

H1: μ > 1,200

Now, before we can reject or accept the null hypothesis, we will need a sample size and thus calculate the test statistics and the z statistics

For us to reject the null hypothesis, one of two things, or two things must have occurred.

The absolute value of the z statistic |z| or the test statistic |t| must be greater than the critical value.

If this happens, then we can make a rejection of the null hypothesis

PLEASE HELP !! (1/5) - 50 POINTS - no wrong answers please. A) y = 6x - [tex]\frac{11}{8}[/tex] B) y = -6x - 2 C) y = [tex]\frac{3}{2}[/tex] x - [tex]\frac{1}{8}[/tex] D) y = -3x + 9

Answers

Answer:

C) 3/2x-1/8

Step-by-step explanation:

We can see that it has a generally positive slope, which rules out B and D.

Plugging in a few numbers for x, we can quickly see that 6 is too high of a slope. (If we plug in 6 for x, the y value would be almost 35, not 10).  This rules out A.

While it doesn’t fit perfectly, C is by far the closest.

Subtract 750 -389 plzzz help

Answers

750 - 389 = 361
Therefore, 361

The equation below is written in words. x plus ten equals two. What's the value of x?

Answers

Answer:

x+10 =2

x = -8

Step-by-step explanation:

plus means add

x+10 =2

Subtract 10 from each side

x+10-10 =2-10

x = -8

renea is going to the lake to visit some freinds if the lake is 60 miles away and renae is driving at 40 miles per hour the entire time how long will it take her to get to the lake

Answers

Answer:

1.5 hours

Step-by-step explanation:

Set up a proportion:

[tex]\frac{40 miles}{1 hour}[/tex] = [tex]\frac{60 miles}{x}[/tex]

Cross multiply:

40x = 60

x = 1.5

= 1.5 hours

Does coordinate x or coordinate y represent a greater number?

Answers

Answer:

Y

Step-by-step explanation:

You see that (x,3) and (2,7) are on the exact same x-value, which is 2. Y, on the other hand, is on the same y-value as (4,3), so it's going to be 4. 4 > 2, so your answer is y.

Y represents the greater number.

We see that (x,3) and (2,7) are on the exact same x-value, which is 2. Y, on the other hand, is on the same y-value as (4,3), so it's going to be 4. 4 > 2, so your answer is y.

What is an example of a coordinate?

A set of values that display an actual role. On graphs it is also a pair of numbers: the first variety indicates the gap along, and the second variety indicates the distance up or down. As an example, the factor (12,5) is 12 units long, and five units up.

Learn more about coordinate here: https://brainly.com/question/11337174

#SPJ2

find the unknown angles .......... please answer number wise .................................... please help!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

x=

a.60

b.25

c.45

d.30

e.53

f.is a right angle so 90

g.15

h.is a right angle so 90.we have to divide it so it's 45.equal to both sides.

Step-by-step explanation:

by looking at the angles we know

first one is 180.so simply just subtract from the number given.like that we do..

as you can see H ,there the symbol means both sides are equal so the amount will be same.

Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim (x, y, z)→(7, 0, 2) e−xysin π z 4

Answers

Answer:

The limit of the function is 0

Step-by-step explanation:

Given the limit of the function [tex]\lim_{(x,y,z) \to (7,0,2)} e^{-xy}sin\dfrac{\pi z}{4} }[/tex]

First step is to substitute the given values of x, y and z into the function given as shown;

[tex]\lim_{(x,y,z) \to (7,0,2)} e^{-xy}sin\dfrac{\pi z}{4} }\\\\= e^{-(7)(0)}sin\dfrac{\pi (2)}{4} }\\\\\\= e^{-0}sin\dfrac{\pi}{2} }\\\\\\= 1*sin\frac{\pi}{2} \\\\= 1*sin90^0\\\\= 1* 0\\\\= 0[/tex]

The limit therefore exist since the limit of the function at the given point gave us a finite value which is zero.

Other Questions
2. Whom would you choose as a referent on this job? What steps would your manager take to make you feel that you were being equitably treated? What would you do if, after a year on the job, you experienced underpayment equity? Which consultation theorists work was originally based on the work of Freud? a. Schein b. Caplan c. Zins d. Bergan suspence story in 200 words You have been assigned to research behaviors related to various reactions to different types of media. The one firm directive you have been given is that you must observe the subjects in their natural settings. Which of the following is TRUE about the research you will be conducting?a. It must not include either qualitative or quantitative methods. b. It must include quantitative methods. c. It must include both qualitative and quantitative methods. d. It must include qualitative methods. Describe the transformation from triangle DEF to triangle DEF in the figure. Question 17 options: A) Transformation down 8 units and right 6 units B) Rotation 90 counterclockwise about the origin C) Reflection about the origin D) Rotation 90 clockwise about the origin What is the slope of the line given by the equation y = 4x? Enter your answer as an integer or fraction in lowest terms. how to write this in number form The difference of 9 and the square of a number "A prospective customer has been solicited by a registered representative, and prior to opening an account, the customer wishes to check on the disciplinary background of that registered representative. Which statement is TRUE?" How is it possible for older adults to have satisfying sex lives? Mark Sports Inc. sold 500 pairs of skates at $50 each in 2012. The management estimates that 4% of the skates sold will need repair within a year. The repair cost for each pair is $10. Which is the correct journal entry for estimating warranty liability Which is the first step toward initiating efficient and effective international business negotiations: Which of the following best describes how crossing over occurs during meiosis? In one of the scenes Faustus wasdining with his friends Valdes andCornelius, Marlowe's aim was torefer tophysical foodOan argumentOa conspiracy Please answer my question Explain how to solve a system of three equations using the elimination method. TEEEL paragraph on European imperial expansion. Which line from William Wordsworths poem uses alliteration? Within what values will 95.44 percent of sample means of this process fall, if samples of n = 8 are taken and the process is in control (random)? A small company is creating a new product to sell to buyers. They have estimated that it will cost them $25 to produce each item and they will have start-up costs of $116000. This leads to the following expression, which gives the total cost, in dollars, to produce q of these new products: 25q+116000 Use this expression to predict how much it will cost them to produce 8900 items. What was your reaction to the description of life ona slave ship?