If the mean of a given dataset is
42 and the standard deviation is
4, where will a majority of the
data lie?

Answers

Answer 1

Answer:

A majority of the data will lie between 38 and 46.

Step-by-step explanation:

It can be said that a majority of the data of a distribution lies within 1 standard deviation of the mean.

In this question:

Mean of 42, standard deviation of 4.

42 - 4 = 38

42 + 4 = 46

A majority of the data will lie between 38 and 46.


Related Questions

Which of the following is an equilateral triangle based on the given figure?

Answers

Check the picture below.

Answer:

ΔABE

Step-by-step explanation:

In ΔBCD,

Two sides are equal, i.e,

BC = CD

therefore, it is a Isoceles Triangle.

In ΔBDE,

No sides are equal,

therefore, it is Scalene Triangle.

In ΔABE,

AB = BE = AE

Therefore, it is equilateral triangle.

Hope it helps you!!

how many seconds are there in 3 minute By the process ​

Answers

Answer:

Step-by-step explanation:

You can easily convert 3 minutes into seconds using each unit definition:

Minutes

minute = 60 s = 60 s

Seconds

1 s

= 1 sec / 60 = 0.01667 min

With this information, you can calculate the quantity of seconds 3 minutes is equal to.

In 3 min there are 180 s.

Which is the same to say that 3 minutes is 180 seconds.

Work out the area of the shaded shape.

Answers

Answer:

Step-by-step explanation:

A = 8(14) - 9(8 - 4) = 76 m²

Find the product of ( - 6 + 3i) and its conjugate.
product =
Submit Question

Answers

Answer:

45

Step-by-step explanation:

The conjugate of the given is:

( - 6 - 3i)

Find their product:

(- 6 + 3i)( - 6 - 3i) = (-6)² - (3i)² = 36 - 9i² = 36 - 9(- 1) = 36 + 9 = 45

The gas tank in dads car holds 5 gallons. The gas tank in moms truck holds 50% more than that. How much gas does the truck's tank hold.

Answers

Answer:

7.5 gallons

Step-by-step explanation:

the 50% of 5 gallons is 2.5 then add up 5 gallons so the answer is 7.5 gallons of gas

please help ill mark brainliestO​

Answers

Answer:

56

Step-by-step explanation:

find the discriminant of -2x^2+8=x^2-28

Answers

Answer:

If I'm not wrong I think the answer should be (-28)

What is the range of tanx?
1. all real numbers
2. -1 ≤ y ≤ 1
3. y > 0

Answers

all real numbers except the 90 and 270 because of cosx

Plz help if understand this problem

Answers

Answer:  [tex]0.5x^7[/tex]

This is the same as typing in 0.5x^7

Other equivalent forms are (1/2)x^7 or (x^7)/2

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

Work Shown:

[tex]\frac{d}{dx}\left[f(x^2)\right] = x^8\\\\f'(x^2)*\frac{d}{dx}(x^2) = x^8\\\\f'(x^2)*2x = x^8\\\\f'(x^2) = \frac{x^8}{2x}\\\\f'(x^2) = \frac{x^7}{2}\\\\f'(x^2) = \frac{1}{2}x^7\\\\f'(x^2) = \boldsymbol{0.5x^7}\\\\[/tex]

I used the chain rule on the second step. The chain rule will apply the derivative to the outer function f(x^2). Then we also apply the derivative to the inner function x^2 to get 2x, which is multiplied with f ' (x^2). From that point, we isolate f ' (x^2).

Side note: When applying the first derivative, it might help to think of f(x^2) as simply f(x) on a temporary basis.

Match the verbal phrase on the left with the corresponding equation on the right. Write the letter of the answer on the space provided1.c increased by 5 is 5 2.4 more than a number is 12 3. The product of 4 and n is 12 4. The difference of 27 and k is 15 5.8 less than 3 times x is 10 6. 3 times x increased by 8 is 20 7. a number minus 8 is 3 8. three times a number is 9 9. twice a number plus 1 is 11 10.6 less than a number is 5a. 27-k=15 b. n + 4 = 12 d. 3x+8 = 20 e. k-8=3 f. 3x-8=10 g. 2x + 1 = 11 h. c + 5 = 15 i. 4n = 12 c. c-6=15 j. 3n = 9​

Answers

Answer:

See below

Step-by-step explanation:

1. c increased by 5 is 5                       ⇒ h. c + 5 = 5 2. 4 more than a number is 12           ⇒ b. n + 4 = 12 3. The product of 4 and n is 12          ⇒ i. 4n = 12 4. The difference of 27 and k is 15    ⇒ a. 27 - k = 155. 8 less than 3 times x is 10              ⇒ f. 3x - 8 = 10 6. 3 times x increased by 8 is 20      ⇒ d. 3x + 8 = 20 7. A number minus 8 is 3                   ⇒ e. k - 8 = 3 8. Three times a number is 9            ⇒ j. 3n = 9​9. Twice a number plus 1 is 11           ⇒ g. 2x + 1 = 11 10. 6 less than a number is 5            ⇒ c. c - 6 = 15

I need help with this please​

Answers

0.25 but half but 26:26 Its same but half of half ....

evaluate the expression 5 /6 + -3 /5

Answers

Step-by-step explanation:

[tex] \frac{7}{30} [/tex]

[tex] \frac{5}{6} + ( - \frac{3}{5} ) \\ lcm = 30 \\ \frac{25 + ( - 18)}{30} = \frac{7}{30} [/tex]

can someone help me please​

Answers

Answer:

1)B 4 x 4 x 4 x 4

2)B 8292

Step-by-step explanation:

squared root of -100 =

Answers

10 i I hope this help

Step-by-step explanation:

Please this is a wrong question. If you mean square root of 100 then it's 10. As for -100, it's an error.

2/5 x 7/9 = ( fractions )

Answers

Answer:

32/45 is your required answer

Answer:

your answer will be 14/45

Step-by-step explanation:

2/5 × 7/9

= 2 × 7

  5 × 9

= 14/45

How to find the area of a missing square

Answers

Check the picture below.

btw, when Pythagoras said the square of this equals that and so on, he really meant the square or square area.

if z1= 3+3i and z2=7(cos(5pi/9) + i sin (5pi/9)), then z1/z2= blank

Answers

[tex]z1=\stackrel{a}{3}+\stackrel{b}{3}i~~ \begin{cases} r = \sqrt{a^2+b^2}\\ r = \sqrt{18}\\[-0.5em] \hrulefill\\ \theta =\tan^{-1}\left( \frac{b}{a} \right)\\ \theta =\frac{\pi }{4} \end{cases}~\hfill z1=\sqrt{18}\left[\cos\left( \frac{\pi }{4} \right) i\sin\left( \frac{\pi }{4} \right) \right] \\\\[-0.35em] ~\dotfill[/tex]

[tex]\cfrac{z1}{z2}\implies \cfrac{\sqrt{18}\left[\cos\left( \frac{\pi }{4} \right) i\sin\left( \frac{\pi }{4} \right) \right]} {7\left[\cos\left( \frac{5\pi }{9} \right) i\sin\left( \frac{5\pi }{9} \right) \right]} \\\\[-0.35em] ~\dotfill\\\\ \qquad \textit{division of two complex numbers} \\\\ \cfrac{r_1[\cos(\alpha)+i\sin(\alpha)]}{r_2[\cos(\beta)+i\sin(\beta)]}\implies \cfrac{r_1}{r_2}[\cos(\alpha - \beta)+i\sin(\alpha - \beta)] \\\\[-0.35em] ~\dotfill[/tex]

[tex]\cfrac{z1}{z2}\implies \cfrac{\sqrt{18}}{7}\left[\cos\left( \frac{\pi }{4}-\frac{5\pi }{9} \right)+i\sin\left( \frac{\pi }{4}-\frac{5\pi }{9} \right) \right] \\\\\\ \cfrac{\sqrt{18}}{7}\left[\cos\left( \frac{-11\pi }{36} \right) +i\sin\left( \frac{-11\pi }{36} \right) \right]\implies \cfrac{\sqrt{18}}{7}\left[\cos\left( \frac{83\pi }{36} \right) +i\sin\left( \frac{83\pi }{36} \right) \right] \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \cfrac{z1}{z2}\approx 0.348~~ + ~~0.496i~\hfill[/tex]

The value of z1/z2 is √18/ 7 (cos ( 11π/36 ) - isin ( 11π/36 )).

What is complex number?

"A complex number is the sum of a real number and an imaginary number and it is of the form x + iy and is usually represented by z".

For the given situation,

z1= 3+3i and

z2= 7(cos(5π/9) + i sin (5π/9))

To divide the complex numbers, both should be in same form.

Convert z1 in polar form.

z is of the form x+iy, so, r=[tex]\sqrt{x^{2}+y^{2} }[/tex]

⇒[tex]r=\sqrt{3^{2}+3^{2} }[/tex]

⇒[tex]r=\sqrt{18}[/tex]

θ = [tex]tan^{-1}(\frac{b}{a} )[/tex]

⇒[tex]tan^{-1}(\frac{3}{3} )[/tex]

⇒[tex]tan^{-1}(1)[/tex]

⇒[tex]45[/tex]°

The polar form is of the form, z= r (cosθ + i sinθ),

⇒ z1 = [tex]\sqrt{18}[/tex] (cosπ/4 + isinπ/4)

The formula for dividing complex number is

z1/z2 = r1(cos θ1 + isin θ1) / r2(cos θ2 + isin θ2)

⇒ z1/z2 = r(cosθ + isinθ)

where, r = r1/r2 and θ = (θ1 - θ2)

z1/z2 = [tex]\sqrt{18}[/tex] (cos π/4 + isin π/4) / 7 (cos 5π/9 + isin 5π/9)

⇒ r = [tex]\sqrt{18}[/tex] / 7 and

θ = (π/4 - 5π/9 )

⇒ θ = (-11π/36)

cos(-θ) = cos θ

⇒cos( -11π/36 ) = cos ( 11π/36 )

sin(-θ) = -sin θ

⇒ sin ( -11π/36 ) = -sin ( 11π/36 )

Thus, z1/z2 = [tex]\sqrt{18}[/tex] / 7 (cos ( 11π/36 ) - isin ( 11π/36 ))

Hence we can conclude that the value of z1/z2 is

√18/ 7 (cos ( 11π/36 ) - isin ( 11π/36 )).

Learn more about complex number here

https://brainly.com/question/19612663

#SPJ2

whats 4000+60=
and whats 60+4000=

Answers

Answer:

4060

Step-by-step explanation:

Answer:4060

Step-by-step explanation:

Hello hello there help

Answers

Answer:

Step-by-step explanation:

A translation 1 unit left and 2 units down :)

Answer:
1 unit to the left and 2 units down.

Jay works as a waiter at a restaurant.
He works 12 hours each weekend. Jay makes $5.50 per
hour and he gets to keep 60% of his tips.
If Jay wants to earn $150 before taxes, how much tip
money should he get during the weekend?
PLEASE HURRY

Answers

Answer:

67.33.

Step-by-step explanation:

To figure out the tip, you need to find 20% of $52.60.

0.2×52.6=10.52

You should leave $10.52 for the waiter if you want to leave him exactly 20%.

To figure the tax, you need to find 8% of $52.60.

0.08×52.6=4.208

Next, add them up:

52.6+10.52+4.208=67.328

The total bill, including tax and tip, will be $67.33.

Select the graph of the function f(x) = 4+ 1/x+6

Answers

Answer:

F(x) = 4+ 1/x + 6 = 10x + 1

                                    x

heleppppppppppppp
plssssssssssssssss

Answers

Answer:

21

Step-by-step explanation:

Answer:

(3,3)

Step-by-step explanation:

Point B is the only point that inside the rectangle alone. Point A is not found in any shape and points C and D are inside the oval. coordinates are labeled (x,y). The coordinates of point B are (3,3)

I understand if this a little difficult to understand and i sincerely apologize for that..

Figure A is a scale image of Figure B. What is the value of x?​

Answers

Answer:

good day of school and➕➕ I have a great day of school and I have a great day☀☀☀ of school and➕➕ I

Elizabeth earned $150 a week tutoring . If he saved $75, what percent of the money he earned did he save ?

Answers

Answer:

50%

Step-by-step explanation:

75/150 = x/100

x = 50

Answer:

50%

explanation

half of 150 is 75(75x2)

which statement correctly compares two value?
The value of the 5 in 50.89 is 1/10 the value of the 5 in 261.58.
The value of the 5 in 50.89 is 10 times the value of the 5 in 261.58.
The value of the 5 in 50.89 is 1/100 the value of the 6 261.58.
The value of the 5 in 50.89 is 100 times the value of the 5 in 261.58

Answers

Answer:

The value of the 5 in 50.89 is 100 times the value of the 5 in 261.58

Step-by-step explanation:

The 5 in 50.89 is in the 10's place

The 5 in 261.58 is in the 1/10's place

1/10(100) = 10

plz helppppppppppopppppp

Answers

Answer:
Measure of 6 is 143 and 7 is 37
Step by step explanation:

Question 7 of 10
Which of the following graphs shows a positive linear relationship with a
correlation coefficient, r, close to 1?
A.
B.
c.
D.
*
A. Graph A
B. Graph B
C. Graph
O D. Graph D

Answers

I think it’s c hope it helps.

in 2011 i sold 105276 tickets.
This is 7% less then the number of tickets i sold in 2018.

How many tickets i sell in 2018?

And

Show a check of your answer.

Answers

Answer:

sorry I don't know the answer of this

whats -2 - 19t if t=-1​

Answers

Answer:

17

Step-by-step explanation:

-2 - 19 x -1

-2 + 19(because two negatives make a positive)

17

Answer:

17 is the answer.

Step-by-step explanation:

Given:

t = -1

Let's substitute.

=> -2 - 19t

=> -2 - 19(-1)

=> -2 - (-19)

=> -2 + 19

=> 17

Therefore, 17 is the answer.

Hoped this helped.

Help help hep help help math

Answers

Answer:

Angle 5

Step-by-step explanation:

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