the diagonal of a square is 3√2 then find its length​

Answer:

(6.35, 5.34)

(6.35, 0.99)

0.10253

0.3984

Step-by-step explanation:

Given that :

μ = 6.35

σ = 2.31

n = 41

What is the distribution of X?X ~ N(,)

X :

Mean of distribution = μ= 6.35

The variance = σ^2 = 2.31^2 = 5.3361 = 5.34

X ~ N = (6.35, 5.34)

What is the distribution of x¯? x¯ ~ N(,)

The mean = μ = 6.35

The standard deviation of the mean = σ/sqrt(n) = 6.35/sqrt(41) = 0.9917 = 0.99

X ~N = (6.35, 0.99)

find the probability that this patron's lunch cost is between $6.1605 and $6.757.

P(6.1605 < x < 6.757)

Obtain the standardized scores:

Z = (x - μ) / σ ; (6.1605 - 6.35) / 2.31 = - 0.082

P(Z < - 0.082) = 0.46732 (Z probability calculator)

(6.757 - 6.35) / 2.31 = 0.176

P(Z < 0.176) = 0.56985 (Z probability calculator)

P(Z < 0.176) -P(Z < - 0.082)

0.56985 - 0.46732 = 0.10253

For the group of 17 patrons, find the probability that the average lunch cost is between $6.1605 and $6.757.

P(6.1605 < x < 6.757) ; n = 17

Obtain the standardized scores:

Z = (x - μ) / σ/sqrt(n) ; (6.1605 - 6.35) / 2.31/sqrt(17) = - 0.338

P(Z < - 0.338) = 0.36768 (Z probability calculator)

(6.757 - 6.35) / 2.31/sqrt(17) = 0.726

P(Z < 0.726) = 0.76608 (Z probability calculator)

P(Z < 0.726) -P(Z < - 0.338)

0.76608 - 0.36768 = 0.3984

Answer:

he did a good job

Step-by-step explanation:

Answer:

3.0%

Step-by-step explanation:

[tex](\frac{53.80}{1785}) * 100 = 3.01[/tex]

Answer:

Step-by-step explanation:

in complex number land there are two distict parts real.. the first number and imaginary.. the second number with the i

if your problem really only has a 7 and an i in it.. then it looks like below

7 * i  = 7i

but..I suspect you just left out a bit of the problem.. repost .. i'll answer it again if the problem is different that what you posted already  :)

The complex number is indeed the product of real and imaginary numbers. It's stated in proper format as a + bi, where a reflects the current part while bi represents the imaginary part, Either because portion could be 0 in theory, any actual or imagined integer can be considered a complex number, and further calculation can be defined as follows:

Given:

[tex]\to \bold{-7+}\\\\\to \bold{+i}[/tex]

To find:

Multiply complex numbers.

Solution:

[tex]\to \bold{-7+}\\\\\to \bold{+i}[/tex]

[tex]\therefore\\\\\to \bold{a+ib}[/tex]

In these questions, the value of a is missing so,

[tex]\to \bold{-7+ \times +i}\\\\\to \bold{-7 \times i}\\\\\to \bold{-7i}\\\\[/tex]

Therefore, the final answer is "-7i".

Learn more:

https://brainly.com/question/20566728?referrer=searchResults

Answer:

B

Step-by-step explanation:

(3.2+4.8)+[20+19+(-4)]

8. +. 47. -4

=43

Answer:

The standard form of the given equation is f(x) =  0x²-4x+15=0

Step-by-step explanation:

The standard form  is ax²+bx+c=0

Given f(x) = -4(x-2)+ 7

   we can write the standard form

                     =  0x² -4(x-2)+7 =0

                   ⇒   0x² -4x +8 +7 =0

                   ⇒   0x² -4x + 15 =0

now comparing the standard form ax²+bx+c=0

                      a = 0 , b= -4 and c =15

Answer:

D

Step-by-step explanation:

103+103=206

360-206=154

154 divided by 2 equals 77 degrees aka D.

Hope this helped! :)

Answer:

1. zach is 20'

2. zack is 13

Step-by-step explanation:

Answer:

y = -1/2x + 4

Step-by-step explanation:

I got -1/2x because for every 2 spaces, the line goes down 1 (rise/run)

I got +4 because 4 is where x = 0, or the y intercept

Answer:

6mn

Step-by-step explanation:

Let the value we are finding be “box.” We can divide both sides by (3m - 4) to isolate box on one side. We get:

box = (18nm^2 - 24mn)/(3m - 4)

Note that we can factor out 3m - 4 in the numerator and cancel it with the denominator. (18nm^2 - 24mn)/(3m-4) = (3m-4)(6mn)/(3m-4) = 6mn.

I hope this helps! :)

Answer:

6mn

firstly divide both the sides with 3m-4

by letting the missing place as" x"

Step-by-step explanation:

take 6mn common from 18m square n - 24mn

you will get 3m- 4 left which get crossed with 3m- n and the value of x will be 6mn

Answer:

Step-by-step explanation:

good job?

Answer:

B. 3/4 cup of water

Step-by-step explanation:

1 1/3 + 1 1/2 + 1 2/3 + 3/4 = 5 1/4

6 - 5 1/4 = 3/4

Answer: B or 3/4

Step-by-step explanation:

ok first add all the amounts he drank together

1 1/3 + 1 1/2 + 1 2/3 + 3/4

because the denominators are all different, you have to change them to a common denominator, which is 12. i've also changed them to improper fractions.

1 1/3 = 4/3 = 16/12    1 1/2 = 3/2= 18/12    1 2/3 = 5/3= 20/12   3/4 = 9/12

now add them all together

16/12 + 18/12 + 20/12 + 9/12 = 63/12

now convert the original 6 cups to an improper fraction with the denominator of 12

6 = 72/12

now subtract 63/12 (the amount he drank) from 72/12 (the amount he started with)

72/12 - 63/12 = 9/12

9/12 is able to be simplified to 3/4

so the correct answer is B, or 3/4

Answer:

8hrs

Step-by-step explanation:

[tex] \frac{24}{3} \\ \\ [/tex]

Based on the information given, the number of hours that will be used will be 8 hours.

From the information given, the company estimates that a power line repair job will take a total of 24 person-hours and 3 workers are assigned to the job.

Therefore, the number of hours that will be used will be:

= 24 hours / 3

= 8 hours

Learn more about division on:

https://brainly.com/question/4320580

Answer:

Quadrant 2

Step-by-step explanation:

Step-by-step explanation:

4th quadrant cause x is positive and y is negative

Answer:

73920

Step-by-step explanation:

pemdas

2*4=8

8*5=40

40*99=3960

3960/3=1320

1320*56=73920

Answer:

73920

Step-by-step explanation:

Answer:

2/1=2

Step-by-step explanation:

The tangent line to f(x) at some point x has slope equal to f'(x), so first compute the derivative of f :

f(x) = -10x ² + 8x

f'(x) = -20x + 8

When x = 9, we have

f (9) = -10•9² + 8•9 = -738

f' (9) = -20•9 + 8 = -172

so the slope is -172.

If you also have to find the equation of the tangent line, use the point-slope formula:

y - (-738) = -172 (x - 9)

y = -172x + 810

Answer:

The value of k is 7

Step-by-step explanation:

The image shows the graph of g(x) and f(x). g(x) is shifted up f(x) by a number k such that:

g(x) = f(x) +k

To know the value of k, we select a value for x and calculate the value of k.

For example, for x=0, f(0)=-6, g(0)=1, and:

g(0) = f(0) +k

1 = -6 +k

k = 7

We can select any other value for x which g and f values can be clearly seen. For example, for x=-5, f(-5)=0, g(-5)=7, thus:

g(-5) = f(-5) +k

7 = 0 +k

k = 7

The value of k is 7

the answer above is correct

Answer:

y - 1/2 = -(x + 1/2)

Step-by-step explanation:

Use point slope form, y - y1 = m(x - x1), where (x1, y1) is a point on the line

Plug in the point given and the slope:

y - y1 = m(x - x1)

y - 1/2 = -(x + 1/2)

So, the equation is y - 1/2 = -(x + 1/2)

Answer:

y - 1/2 = -(x + 1/2)

2-2=-1(1+1)

Step-by-step explanation:

slope is given

y-y1=m(x-x1)

Answer:

|−3| < |−4|

Step-by-step explanation:

Answer:

|−3| < |−4|

Step-by-step explanation:

Convert each option:

|−4| < 3   ⇒   4 < 3   ✖ False

|−4| < |3|   ⇒   4 < 3   ✖ False

|−3| < −4   ⇒   3 < −4   ✖ False

|−3| < |−4|   ⇒   3 < 4   ✔ True

Hope this helps! :)

Answer:

the largest factor of 35 is 35 and the smallest prime number is 2 so 35 times two is 70

Step-by-step explanation:

Answer:

696.39

Step-by-step explanation:

HOPE THIS HELPS

PLZZ MARK BRAINLIEST

Answer: 696 39/100 into a decimal is 696.39

Answer:

1.2 mph

Step-by-step explanation:

3/5 = .6 per half hour, you need to find the mph rate and since you're dealing with a half hour rate, you double it. .6 miles × 2 & 30 mins ×2= 1.2 miles per hour

Answer: omggg I need that one too irdk I need help

Step-by-step explanation:

Answer:

It is 748.2

Step-by-step explanation:

With formula I=PRT you sub in the P R and T. once you do that you get the answer of 168.2, after you add 168.2 to the original amount which gives you the answer 748.2

Answer:

k=-240

Step-by-step explanation:

Answer:

k = -1200

Step-by-step explanation:

Answer:

Intersect means two lines met together and formed a point.

Step-by-step explanation:

None

Answer: This is a tough question

Depends on if you wanna cook it medium rare, rare, medium well, well done, or do you just wanna eat it raw :D

Step-by-step explanation:

Answer:

1:35 pm

Step-by-step explanation:

Given that:

Willis tower = 1 hour 10 minutes

Navy piers = 3 hours 10 minutes

Shopping = 1 hour 15 minutes

(1 hour 10 min) + (3 hour 10 minutes) + 1 hour 15 minutes

Total time touring Chicago = 4 hours 35 minutes

Since dinner reservation is at 5 :10 pm

Touring should start latest:

5:10 - 4 hours 35 minutes = 1 :35 pm

Answer:

exponential expression:

8ᵇ = 2

log8(2) = 0.333333333 or 1/3

Answer:

log8(2) = 1/3

Step-by-step explanation:

I don't know if they mean this by an exponential expression but:

set x = log8(2), then

8^x = 8^(log8(2))

By logarithmic properties:

8^x = 2.

notice that 8 = 2^3.

By exponential properties:

8^x = (2^3)^x = 2^(3x)

So 2^(3x) = 2 = 2^1.

Comparing exponents gives:

3x = 1 <=> x = 1/3.

So log8(2) = 1/3.