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Step-by-step explanation:

additive inverse means multiplying 3-7i by it's conjugate which would be

(3-7i)(3+7i)=3^2+7^2=9+49=58

the multiplicative inverse of a number z is 1/z

1/(3-7i)

multiply numerator and denominator by 3-7i's conjugate and it equals 58

(3-7i)/58

3/58-7/58i

Hope that helps :)

Answer:

Y = 4x +2

substitute Y into the second equation

-6x +2[4x +2] =8

-6x +8x +4 =8

collect like terms

-6x +8x =8-4

2x=4

x=2

Substitute (x=2) into the first equation

Y= 4(2) +2

Y= 8+2

Y= 10

Answer:

3.14, radius of this circle is 1 and 1^2 is 1 and 1x3.14 is 3.14

Step-by-step explanation:

Answer:

7<x<31

Step-by-step explanation:

The third side of any triangle must be more than the difference between the other two sides.

x>19-12

x>7 (or) 7<x

The third side of any triangle must be less than the sum of the other two sides.

x<19+12

x<31 (or) 31>x

Put them together.

7<x<31 (or) 31>x>7

7<x<31 are the possible values of x.

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

Given that  side lengths of a triangle are 12, 19, and x units.

We need to find the value of x.

We know that the third side of any triangle must be more than the difference between the other two sides.

x is greater than difference of nineteen and twelve

x>19-12

x>7 (or) 7<x

The third side of any triangle must be less than the sum of the other two sides.

x<19+12

x<31 (or) 31>x

From this we get the interval as

7<x<31 (or) 31>x>7

Hence, 7<x<31 are the possible values of x.

To learn more on Triangles click:

https://brainly.com/question/2773823

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Answer:

The length that separates the bottom 5% is of 4.87 centimeters.

The length that separates the top 5% is of 5.03 centimeters.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 4.95 centimeters and a standard deviation of 0.05 centimeters.

This means that [tex]\mu = 4.95, \sigma = 0.05[/tex]

Bottom 5%:

The 5th percentile, which is X when Z has a pvalue of 0.05. So X when Z = -1.645.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-1.645 = \frac{X - 4.95}{0.05}[/tex]

[tex]X - 4.95 = -1.645*0.05[/tex]

[tex]X = 4.87[/tex]

The length that separates the bottom 5% is of 4.87 centimeters.

Top 5%:

The 100 - 5 = 95th percentile, which is X when Z has a pvalue of 0.95. So X when Z = 1.645.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.645 = \frac{X - 4.95}{0.05}[/tex]

[tex]X - 4.95 = 1.645*0.05[/tex]

[tex]X = 5.03[/tex]

The length that separates the top 5% is of 5.03 centimeters.

Answer:

7/5 simplified

Step-by-step explanation:

Its 7/5 Trust

Brainliest please!

Answer:

14/10 or 7/5

Step-by-step explanation:

Answer:1/2

Step-by-step explanation:3/4 equals 75% but 1/2 equals 50%

Answer:

y=5x+5

Step-by-step explanation:

y-y1=m(x-x1)

y-(-5)=5(x-(-2))

y+5=5(x+2)

y=5x+10-5

y=5x+5

9514 1404 393

Answer:

  32 in²

Step-by-step explanation:

The area is given by ...

  A = bh

  A = (8 in)(4 in) = 32 in²

The area of the parallelogram is 32 square inches.

Answer:

wont let me download

Step-by-step explanation:

Answer:

84

Step-by-step explanation:

5+7 times 14 divided by 2 i think there's no pic

Answer:

Welp, you didn't provide a picture so I'll go with every choice.

Step-by-step explanation:

If the two bases are 5 and 7, and the height is 14, then the area is 84.

If the two bases are 5 and 14, and the height is 7, then the area is 66.5.

If the two bases are 7 and 14, and the height is 5, then the area is 52.5.

The formula for the area of a trapezoid is : (a+b)/2 * h

Answer:

The answer is 39.

Step-by-step explanation:

The average is the total amount of blood tests divided by the number of days.

Total: 36 + 43 + 29 + 48 = 156 blood tests / 4 days =  39 blood tests per day.

Answer:

the value of the test statistic is 2.43

Step-by-step explanation:

The computation of the value of the test statistic is shown below:

[tex]z = \frac{\bar x _1 - \bar x _2}{\sqrt{\frac{\sigma_1^2 + \sigma_2^2}{n_1 + n_2} } }[/tex]

[tex]= \frac{25.7 - 22.8}{\sqrt{\frac{5.3^2}{40}+ \frac{6^2}{50} } }\\\\= \frac{25.7 - 22.8}{\sqrt{0.70225 + 0.72} }\\\\= \frac{2.9}{1.19258}[/tex]

= 2.43

Hence, the value of the test statistic is 2.43

The same would be considered and relevant by applying the above formula  

This question is incomplete, the complete question is;

Research indicates that many Americans do not save enough for retirement, on average. A group of economists at the Federal Reserve Bank of St. Louis are interested in conducting a study to examine whether Americans between the ages of 55 and 65 have saved too little. The analysts obtain a random sample of Americans in this age group and proceed to test if there is evidence of insufficient savings from these data. The variable considered is the total amount of savings for each individual, reported in thousands of US dollars (i.e. if value 3 appears in the data set, it stands for $3,000.)

Required:

Assume that financial specialists suggest that the minimum level of retirement savings should be 1.5 million US dollars. Use the JMP output to report the value of the test statistic used to gather evidence against the null hypothesis. Report your answer as a number ( no symbols ) and round up to two decimal places.

Test mean

Hypothesized value : 1500

Actual Estimate        : 1613.07

DF                             : 251

Std Dev                    : 782.626

t Test

prob > |t|  0.0226*

Answer:

the value of the test statistic used to gather evidence against the null hypothesis is 2.29

Step-by-step explanation:

Given the data in the question,

we determine Test statistics of using the formula

t = (x" - μ) / (s/√n)

where;

μ is the theoretical mean ( 1500 )

x" is the observed mean ( 1613.07)

s is the standard deviation ( 782.626 )

n is the sample size ( DF = n - 1, n = DF + 1 , n = 251 + 1 = 252 )

so we substitute

t = (1613.07 - 1500 ) / (782.626 / √252)

t = 113.07 / 49.3008

t = 2.29

Therefore, the value of the test statistic used to gather evidence against the null hypothesis is 2.29

Answer:

IH < IG < HG

Step-by-step explanation:

To solve this equation remember that angle measurements correspond with sides. So, the largest angle will be opposite of the longest side and the smallest angle will be opposite of the shortest side.

First, you need to find m<I; do this by subtracting 52 and 45 from 180. This means that m<I=83, making it the largest angle. Therefore, the angles, in order of least to greatest, are <G, <H, <I. So, to find the final answer, find the sides opposite of each of the angles. This means the answer is IH < IG < HG.

Answer:

The coordinates of point A are (-4, 3)

hope it helps

Answer:

The coordinates of point A is (-4,3)

Step-by-step explanation:

(x,y)

X= -4

Y= 3

Answer:

209

Step-by-step explanation:

subtract

Answer:

209

Step-by-step explanation:

subtraction bro

Answer:

i dunno if this will help any but i think 1/4 and 25% is the same since 100/4=25

Step-by-step explanation:

if it doesn't i'm sorry for waisting ur time-

Answer:

The answer is false

Answer:

False

Step-by-step explanation:

Answer:

man thats really hard i think youve gotta ask a professional for that

Step-by-step explanation:

Answer:

1+4=5

1-4=-3 (3)

1 x 4= 4

1/4 =4

Step-by-step explanation:

-18/35 is the answer to (-3/5) divided by (7/6)

Answer:

6 square inches

Step-by-step explanation:

6(1*1) = 6 in^2

Answer:

hi

Step-by-step explanation:

i think 6×1in²=6

i hope it is true

hope it helps

have a nice day

9514 1404 393

Answer:

  12e -6f -8

Step-by-step explanation:

The factor outside parentheses multiplies each term inside parentheses.

  = (6e)(2) +(-3f)(2) +(-4)(2)

  = 12e -6f -8

Answer:

-4 and d

==============

Please give brainliest, I really want to rank up, thank you!

Answer:

x = d

x = -4

Step-by-step explanation:

not sure i tried

Answer:

d 90

Step-by-step explanation:

hope this helped you

Answer:

B. 200 acres

Step-by-step explanation:

Create an estimate by rounding the size of each of their farms to the nearest hundred.

Kim's farm is approximately 1,300 acres, since 292 is closest to 300.

Jack's farm is approximately 1,100 acres, since 104 is closest to 100.

Using these estimates, find the difference between them:

1,300 - 1,100

= 200

So, the best estimate of the size difference is B. 200 acres

Answer:

A) 21

Step-by-step explanation:

Mean:

(23 + 18 + 24 + 15 + 25)/5

105/5

21

Answer:

21

The mean is 21. Remember to calculate the mean we add up the numbers then divide them by the number of numbers.

Answer:

It helps families who or who do not have the resources and helps them with money issues

Step-by-step explanation:

hope it helps

Answer:

true

Step-by-step explanation:

join a, b, c the attach the value A to C=9, B to C=7, and B to A=16

Answer:

need the whole question .....

Step-by-step explanation:

Answer:

The median score is 80 ;)

Step-by-step explanation: