The electric bills of household in a state are normal distribution the average of $85 with a standard deviation of $8. A sample of 25 households are selected random. Find the probability that the mean bill is less than $83.

Answers

Answer 1

Answer:

0.106

Step-by-step explanation:

We can plug this into normalcdf using the following values:

Lower bound = -1000

Upper bound = 83

Mean = 85

Standard deviation = pop. standard deviation / √(sample size) = 8/5 = 1.6


Related Questions

i need help ON THIS PLS

Answers

Answer:

No, because the ratio of pay to hours is not the same for each pair of value.

a/(b+ce^x) dx = ? Please solve this

Answers

Answer:

1/ab en (c/be^-x+c)

Step-by-step explanation:

Sure is a harsh question! Here's my Explanation

b+ce^x = t

ce^x an = dt

e^xan = dt/c

an = dt/ce^x = dt/c(t-b/c) = at/(t-b)

en = t-b/c

A/b+ce^x dx = a/t dt/t-b

a ∫1/t (t-b) dt = 1/a∫ (1/(t-b) - 1/t) dt

= 1/ab [∫1/(t-b) dt + ∫-1/t dt]

= 1/ab [en (t-b) - en(t)]

= 1/ab en ((t-b)/t)

t = b + ce^x

= 1/ab en (b+ce^x -b/b+ce^x)

=1/ab en (ce^x/b+ce^x)

= 1/ab en (c/be^-x+c)

#include
using namespace std;
int main()
{
int x,y=0;
x=1123;
while (x!=0){
y+=x%10;
x/=10;
}
cout< }

Answers

Answer:

main aapki madad karna chahti hun per Mujhe Ae Jahan question Nahin Aata sorry I don't know

sorry dear friend

Step-by-step explanation:

ok I don't know

PLEASE HELP FAST!! WILL GIVE FIRST PERSON THAT RESPONDS A HIGH RATING AND POINTS!

Answers

Answer:

Step-by-step explanation:

3

HELP!!
Consider the polynomial

Answers

Answer:

1. coefficient of 3rd term = 1

2. constant term= 0

The coefficient of the third term is 1 while the constant term is 0 for the given expression.

What is an expression?

An expression is a combination of some mathematical symbol such that an arithmetic operator and variable such that all are constrained and create an equation.

For example 3x +5y

As per the given polynomial,

(1/2)a⁴ + 3a³ + a

Here a is a variable.

(1)

The third term is a and its coefficient is 1 as (1)a.

(2)

All terms have variable "a" thus none of the terms is constant so the constant term is 0.

Hence "For the following statement, the constant term has a coefficient of 0 and the third term has a coefficient of 1".

To learn more about expression,

https://brainly.com/question/14083225

#SPJ2

Mike wants to buy a scooter worth R10000 but cannot afford so he opts for the hire purchase agreement which requires a 13% deposit and a 24 equal monthly installments at a rate of 15% per annum compounded monthly
A.How much will his deposit be?
B.calculate how much does he still need to pay after the deposit
C.calculate the monthly installment​

Answers

Answer: I think the answer is A

Step-by-step explanation:

Solve x2 + 8x + 22 = 0 by completing the square.
Question 20 options:

A)

x = –4 + i√ 6 , x = –4 – i√ 6


B)

x = –4 + √ 14 , x = –4 – √ 14


C)

x = –4 + i√ 14 , x = –4 – i√ 14


D)

x = –4 + √ 6 , x = –4 – √ 6

Answers

Answer:

A)

Step-by-step explanation:

the solution of a squared equation is

x = (-b ± sqrt(b² - 4ac)) / (2a)

in our case

a = 1

b = 8

c = 22

x = (-8 ± sqrt(64 - 88))/2 = (-8 ± sqrt(-24))/2 =

= (-8 ± sqrt(4×-6))/2 = (-8 ± 2×sqrt(-6))/2 =

= -4 ± sqrt(-6) = -4 ± i×sqrt(6)

From quadrilateral ABCD is a quadrilateral with area of ​​48 square units, find the length of AC.
A. 48/5
B. 24
C. 24/5
D. 48

Answers

Step-by-step explanation:

I do hope that you understand through the steps in the attachment, if not kindly reach out!

Six math books, four physics books and three chemistry books are arranged on a shelf.
How many arrangements are possible if all books of the same subject are grouped together?

Answers

Answer:

622,080

Step-by-step explanation:

The total number of subjects is 3

= 3×2×1

= 6

Six maths book

= 6×5×4×3×2×1

= 720

Four physics book

= 4×3×2×1

= 24

Three chemistry book

= 3×2×1

= 6

6×720×24×6

= 622,080

Hence if the books are grouped together 622,080 arrangement is possible

1
What is the perimeter of a rectangle
whose length is 5 feet and whose width
is 3.5 feet?
O 8.5 ft.
O 16.5 ft.
O 17 ft.
O 17.5 ft.

Answers

Answer:

17ft

Step-by-step explanation:

5*2 + 3.5*2=17

Answer 17 ft.

Explanation
Perimeter of rectangle = 2(l+b)
As length = 5 ft and breadth/width = 3.5 ft

So,
=2 ( 5+3.5)
=2 ( 8.5 )
= 17 feet


I hope it helps!
pls mark me brainliest :)

The height of a triangle is 4 yards greater than the base. The area of the triangle is 70 square yards. Find the length of the base and the height of the triangle.

Answers

9514 1404 393

Answer:

base: 10 yardsheight: 14 yards

Step-by-step explanation:

Let b represent the length of the base. Then (b+4) is the height and the area of the triangle is ...

  A = 1/2bh

  70 = 1/2(b)(b+4)

  b² +4b -140 = 0 . . . . . multiply by 2, put in standard form

  (b +14)(b -10) = 0 . . . . factor

  b = 10 . . . . the positive solution

The base of the triangle is 10 yards; the height is 14 yards.

A number is at least -43 help please

Answers

Answer:

the question is incomplete :-')

Help please im new and i need help

Answers

9514 1404 393

Answer:

  B) False

Step-by-step explanation:

Triangles are similar when their angles are the same measures. Because the angles sum to 180°, we only need to show that 2 angles of one triangle are equal to 2 angles of the other triangle.

All three of the angles of the first triangle are given: 20°, 40°, 120°.

One of the angles of the second triangle matches: 40°; but the other angle (80°) doesn't match either of 20° or 120°.

The angles aren't the same, so the triangles are not similar.

__

If we want to go to the trouble, we can figure the third angle of the second triangle. It is 180° -40° -80° = 60°.

Then the angles in the two triangles, listed smallest to largest, are ...

  20°, 40°, 120°

  40°, 60°, 80°

It is clear the angles of these triangles are not the same.

Joel and Matt must together save at least $50.00 to buy a special present for their mother.
Joel saves twice as much as Matt. Which inequality best represents the situation if x
represents the amount of money that Matt saves?

Answers

Answer:

Option (2)

Step-by-step explanation:

Let the savings of Joel = $y

And the savings of Matt = $x

They jointly save at least $50 to buy a special present.

Therefore, equation for this condition will be,

x + y ≥ 50 --------(1)

Joel saves twice as much as Matt.

Equation for this condition will be,

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

By substituting the value of 'y' in the equation,

x + 2x ≥ 50

Therefore, Option (2) will be the answer.

please help me asapp

Answers

Answer:

C. 12, 8, 5

Step-by-step explanation:Side lengths of any triangle must conform to the triangle inequality theorem, which says that the sum of the lengths of any of the two sides of the triangle is greater than the length of the third side.

This means:

a + b > c

a + c > b

b + c > a

Let's check each of the options to see which set are possible lengths for a triangle:

A. 6, 5, 11

6 + 11 > 5 ===> 17 > 5

5 + 11 > 6 ===> 16 > 6

6 + 5 > 11 ===> 11 > 11 (INCORRECT. Does not confirm to tye theorem)

Therefore, this set cannot be possible side lengths for a triangle.

B. 8, 1, 2

8 + 1 > 2 ===> 9 > 2

1 + 2 > 8 ===> 3 > 8 (INCORRECT)

8 + 2 > 1 ===> 10 > 1

This set cannot be possible side lengths for a triangle.

C. 12, 8, 5

12 + 8 > 5 ===> 20 > 5

8 + 5 > 12 ===> 13 > 12

12 + 5 > 8 ===> 17 > 8

All are correct, therefore these are possible side lengths for a triangle.

Find the missing side of the triangle

Answers

Answer:

x = 15

Step-by-step explanation:

Pytago: a^2 + b^2 = c^2

x = [tex]\sqrt{25^{2} -20^{2} }[/tex] = 15

A newspaper advertisement offers a $9,000 car for nothing down and for 36 easy monthly payments of $317.50 what is the simple interest rate?

Answers

Answer:

27%

Step-by-step explanation:

Let x = simple interest rate

$9000 / 36 = $250 per month

$250x = 317.5

Divide both sides by 250

250x/250 = 317.5/250

x = 1.27

Let's check

250 x 1.27 = 317.5

If you were to multiply by .27 then it would just go down

250 x .27 = 67.5

A boat has a rip-hole in the bottom while 20 miles away from the shore. The water comes in at a rate of 1.5 tons every minute, and the boat would sink after 70 tons of water came in. How fast must the boat go in order to reach the shore before sinking?

Answers

Answer:

t = 70 tons/1.5 tons/min = 46.7 min = 2800 sec before boat sinks

S = V * t

V = S / t = 20 mi * 5280 ft/mi / 2800  sec  = 37.7 ft/sec

Since 88 ft/sec = 60 mph

the speed is 60 * 37.7 / 88 = 25.7 mph

Find the area of the triangle with the given

Answers

Answer:

616.2442

area to the nearest whole number=616

Step-by-step explanation:

using formula 1/2absinx

where a =44,b=29 ,x=105

1/2x44x29xsin105

44x29=1276

1276÷2=638

638 x sin 105

the sin of 105 is 0.9659

if u are using a four figure table where u can't find 105 under sin of angle

u simply subtract 105 from 180=75

638 x 0.9659 =616.2442

approx.616

3. (02.01)
Solve for x:
wim
(x – 4) = 2x. (1 point)
2
-2
-8
-4

Answers

Answer:

x = -4

Step-by-step explanation:

(x - 4) = 2x

We need an x that when is subtracted by 4 is equal to multiplying it by 2

((-4) - 4) = 2(-4)

(-8) = (-8)

Therefore x = -4

What is the length of AC?
a. 3ft
b. 4ft
c. 18ft
d. 12ft
plz hurry ​

Answers

d. 12ft

Answer:

Solution given:

∆ABC is similar to∆MBN

since their corresponding side are proportional.

so

AB/MB=AC/MN

[since AM=BM=4ft

AB=AM+BM=4+4=8ft]

8/4=AC/6

doing crisscrossed multiplication

2*6=AC

AC=12ft

Which of the following graphs represents the line that passes through (–2, –3) and has a slope of 2/3?

Answers

Answer:

Fourth graph

Step-by-step explanation:

It passes through the point (-2, -3) and has a slope of 2/3

Answer:

Step-by-step explanation:

write your answer in simplest radical form.​

Answers

9514 1404 393

Answer:

  √3

Step-by-step explanation:

The ratio of the short sides to the hypotenuse in an isosceles right triangle is ...

  1 : 1 : √2

This means ...

  p·√2 = √6

  p = (√6)/(√2) = √(6/2)

  p = √3

Find the local linear approximation L(x) of the function f(x) = 5−x^2 at x = 2.
Use this to estimate f(2.1).

Answers

Answer:

L(x)=-4x+9

L(2.1)=0.6

Step-by-step explanation:

It's asking us to find the tangent line to curve f(x) = 5−x^2 at x = 2.

Theb use this to estimate f(2.1).

To find slope of tangent line, we must differentiate and then plug in 2 for x.

f'(x)=0-2x by constant and power rule.

f'(x)=-2x

So the slope of the tangent line is -2(2)=-4.

A point on this tangent line shared by the curve is at x=2. We can find it's corresponding y-value using f(x)=5-x^2.

f(2)=5-(2)^2

f(2)=5-4

f(2)=1

So let's rephrase the question a little.

What's the equation for a line with slope -4 and goes through point (2,1).

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

Plug in our information: y-1=-4(x-2).

Distribute: y-1=-4x+8

Add 1 on both sides: y=-4x+9

Let's call this equation L(x), an expression to approximate value for f near x=2.

L(x)=-4x+9

Now the appropriation at x=2.1:

L(2.1)=-4(2.1)+9

L(2.1)=-8.4+9

L(2.1)=0.6

If we did plug in 2.1 into given function we get 5-(2.1)^2=0.59 . This is pretty close to our approximation above.

Use the graph to complete the statement. O is the origin. r(180°,O) ο Ry−axis : (2,5)
A. ( 2, 5)
B. (2, -5)
C. (-2, -5)
D. (-2, 5)

Answers

9514 1404 393

Answer:

  B.  (2, -5)

Step-by-step explanation:

Reflection across the y-axis is the transformation ...

  (x, y) ⇒ (-x, y)

Rotation 180° about the origin is the transformation ...

  (x, y) ⇒ (-x, -y)

Applying the rotation after the reflection, we get ...

  (x, y) ⇒ (x, -y)

  (2, 5) ⇒ (2, -5)

_____

Additional comment

For these transformations, the order of application does not matter. Either way, the net result is a reflection across the x-axis.

Answer:

(2,-5)

Step-by-step explanation:

A control variable is:
A. Measured to show the effect of a change.
B. Kept the same to make an experiment a fair test.
C. Collected to draw conclusions.
D. Changed to test a hypothesis.

It’s in between a and b, they’re both technically true no?

Answers

Answer:

B: kept the same to make an experiment a faith test

Which system of inequalities is shown in the graph?

36 > (x + 3)2 + (y – 2)2 and 16 > (x – 4)2 + y2
36 > (x – 2)2 + (y + 3)2 and 16 > (x – 4)2 + y2
36 < (x + 3)2 + (y – 2)2 and 16 > (x – 4)2 + y2
36 < (x – 2)2 + (y + 3)2 and 16 > (x – 4)2 + y2

Answers

Answer:

(x-2)^2 +(y+3)^2 >36 and (x-4)^2 +(y)^2 < 16

Step-by-step explanation:

The equation of a circle is (x-h)^2+(y-k)^2 = r^2

We are outside the yellow circle  The yellow circle has a radius of 6 and a center at (2, -3)

(x-2)^2 +(y--3)^2 > 6^2

(x-2)^2 +(y+3)^2 > 36

We are also inside the blue circle which has a radius of 4 and a center of (4,0)

(x-4)^2 +(y-0)^2 < 4^2

(x-4)^2 +(y)^2 < 16

Answer:

D.) 36 < (x – 2)2 + (y + 3)2 and 16 > (x – 4)2 + y2

Step-by-step explanation:

Edge 2022

If contribution margin is $70000, sales is $120000, and net income is $50000, then variable and fixed expenses are

Variable Fixed

a) $190000 $70000

b) $50000 $20000

c) $50000 $70000

d) $20000 $50000

Answers

Answer:

c) $50000 $70000

Step-by-step explanation:

!!!!!!!

What is the common ratio for this geometric sequence?
27, 9, 3, 1, ...

Answers

Answer:

1/3

Step-by-step explanation:

common ratio is

9÷27=1/3

3÷9=1/3

1÷3=1/3

therefore common ratio is 1/3

Answer: 1/3

Step-by-step explanation:

Let us confirm that this is a geometric sequence. 9/27 = 1/3 and 3/9 = 1/3. Thus, the common ratio is 1/3.

−12x+y=10 in slope-intercept form

Answers

Answer:

y=12x+10

Step-by-step explanation:

Slope-intercept form is y=mx+b

1. Add -12x to both sides of the equation

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