The monthly expenditures on food by single adults in one city are monthly distributed with a mean of $410 and a standard deviation of $70

Answer:

6

Step-by-step explanation:

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Answer:

When two triangles are similar, the reduced ratio of any two corresponding sides is called the scale factor of the similar triangles.

Step-by-step explanation:

Answer:

I don't understand make is more simplify

Answer:

v = 2

Explanation:

8(2 − 6v) + 19 = −61

[ Simplify both sides of the equation ]

8(2 − 6v) + 19 = −61

(8)(2) + (8)(−6v) + 19 = −61 (Distribute)

16 + −48v + 19 = −61

(−48v) + (16 + 19) = −61 (Combine Like Terms)

−48v + 35 = −61

−48v + 35 = −61

[ Subtract 35 from both sides ]

−48v + 35 − 35 = −61 − 35

−48v = −96

[ Divide both sides by -48 ]

−48v / -48 = −96 / -48

v = 2

- PNW

Answer:

iacbsc kakwc s s k kd sdidv d lm vdfj

Step-by-step explanation:

Answer:

x = -3 + i√6 and x = -3 - i√6

Step-by-step explanation:

Let's apply the "completing the square" method to find the roots of this equation.

Take half of the coefficient 6 of x, square it and add this result to x^2 + 6x.  Then subtract the same quantity:

x^2 + 6x + 15 becomes

x^2 + 6x + 3^2 - 3^2 + 15 = 0

Rewriting the first three terms as the square of a binomial, we ge:

(x + 3)^2 - 9 + 15 = 0, which simplifies to:

(x + 3)^2 + 6 = 0, or (x + 3)^2 = -6

Taking the square root of both sides:

x + 3 = ±i√6

Then the two roots are complex:

x = -3 + i√6 and x = -3 - i√6

Answer:

48,410$ in 2021

Step-by-step explanation:

3% of 47,000 is 1,410

add the 3% increase to 47,000 to get 48,410$

Answer:

[tex]48[/tex],[tex]410[/tex]

Step-by-step explanation:

__________________________________________________________

[tex]47[/tex],[tex]000[/tex] [tex]in[/tex] [tex]2020[/tex]

[tex]48[/tex],[tex]410[/tex] [tex]in[/tex] [tex]2021[/tex]

__________________________________________________________

[tex]This[/tex] [tex]is[/tex] [tex]because[/tex] [tex]3[/tex]% [tex]of[/tex] [tex]47[/tex],[tex]000[/tex] [tex]is[/tex] [tex]1[/tex],[tex]410[/tex]

[tex]47[/tex],[tex]000[/tex] + [tex]1[/tex],[tex]410[/tex] = [tex]48[/tex],[tex]410[/tex]

__________________________________________________________

Hope this helps! <3

__________________________________________________________

Answer:

-4/3

Step-by-step explanation:

y=mx+b

3y=-4x+15

y= -4/3 x +5

m is slope b is y intercept

Answer:

40

Step-by-step explanation:

162/4.1= 39.51 round to 40

The solution of the equation after dividing would be 40.

Used the concept of the divide that states,

The division method is used to distribute a group of things into equal parts. The division is just the opposite of multiplications.

Given that,

162 divided by 4.1

Now divide the numbers,

162 divided by 4.1

It can be written as,

162 ÷ 4.1

162 / 4.1

1620/41

This gives,

39.512

Rounded to whole numbers,

40

Therefore, the solution is 40.

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Answer:

Step-by-step explanation:

Arc length formula:

Substitute values:

Answer:

x=-7/2

Step-by-step explanation:

Answer:

x = -7/2 or -3.5

Step-by-step explanation:

7x - 2 = 9x + 5

Add 2 to both sides

7x = 9x + 7

Subtract 9x from both sides

-2x = 7

Divide both sides by -2

x = -7/2

x = -3.5

Answer:

  ∠B ≈ 50.9°

Step-by-step explanation:

The area formula for a triangle can be used to find the missing angle.

We don't want confusion between A for area and angle A, so we define Q as the area of the triangle with sides a, c, and included angle B. In this scenario, 'a' represents side BC (opposite angle A), and 'c' represents side AB (opposite angle C).

  Q = (1/2)ac·sin(B)

Solving for B, we have ...

  2Q/(ac) = sin(B)

  B = arcsin(2Q/(ac)

  B = arcsin(2(64)/(11(15)) = arcsin(128/165)

  ∠B ≈ 50.9°

Answer:

6/49

Step-by-step explanation:

-2 times -3 is 6, and 7 times 7 is 49. therefore, the answer is 6/49.

Answer:

B

Step-by-step explanation:

Answer:

Step-by-step 4explanation:

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Answer:

one-ninth of 54

Step-by-step explanation

54*1/9=6

36*1/4=9

Answer:

1/9 of 54  is smaller than 1/4 of 36

Step-by-step explanation:

1/9 of 54 is 54/9 and that is 6

1/4 of 36 is 36/4 and that is 9.

Please mark brainliest

Answer:

The values of p = 0 < p ≤ 2/3

Step-by-step explanation:

First we write the probability of 6V flashlight working representing it as a binomial mass function of a binomial random variable

P ( 6v flashlight working  ) = P ( at least one 6V battery works )

                                           = P ( 1 6v battery work )  + P ( 2  6v battery work )

                                           = b( 2; 2, p ) + b( 1; 2, p )

write out a formula of  b( 2; 2, p ) + b( 1; 2, p )

P ( 6v flashlight working  )  = p^2 + 2p( 1 - p )

Next we write the probability of D flashlight working representing it as a binomial mass function of a binomial random variable

P ( D flashlight works ) = p ( at least two D batteries works )

                                     = b( 4; 4, p ) + b(3;4, p ) + b(2; 4, p )

write out a formula of  b( 4; 4, p ) + b(3;4, p ) + b(2; 4, p )

P ( D flashlight works ) = [tex]P^4 + 4p^3 ( 1- p ) + 6p^2 ( 1- p)^2[/tex]

attached below is the remaining solution

A; electronic devices are protected from power surges by having insulated wires.

The option that does not state a principle related to why ground wires are an effective safety device is:

A. Electronic devices are protected from power surges by having insulated wires.

Insulated wires protect electronic equipment against power surges, however, this has nothing to do with the usefulness of ground wires as a safety precaution.

The idea of earth wires is to provide a safe conduit for electrical currents to go into the Earth, avoiding harmful electrical potential from building up.

Thus, options B, C, and D all state principles that are directly related to the effectveness of ground wires as a safety device.

Hence, the correct answer is A.

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Answer:

[tex]\frac{5}{6}[/tex]

Step-by-step explanation:

Given parameters

Percentage of all teachers the works in summer  = 85%

Number of teachers sampled  = 6 teachers

Unknown:

The probability that they all work in summer  = ?

Solution:

Now, to solve this problem, let us find the number of teachers that works in summer from the given size;

    Number of teachers = 85% x 6  = 5.1;

  Since it is not possible to have 5.1 people, the number of teachers will be 5

The probability  = [tex]\frac{5}{6}[/tex]

Answer:

He would make 300 dollars.

Step-by-step explanation:

15 x 5 = 75

75 x 4 = 300.

Answer:

answer is 300

Step-by-step explanation:

Because if your doing it for 1 day you would have to 15*5 which five you 75. Then you multiple that 75 with the 4 and give you 300 within the 4 days..

Hopes this help.

The table that shows the correct t and d values is

Distance Covered (m)           Time Taken (hr)

8                                               6

32                                              15

The table of values is given as:

Distance Covered (m)           Time Taken (hr)

8                                               6

16                                              12

32                                              15

48                                              18

The distance covered in 15 hours is 32 m and the time taken to cover 8 m is 6 hours

When these values are extracted, we have:

Distance Covered (m)           Time Taken (hr)

8                                               6

32                                              15

The above represents the table that shows the correct t and d values

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Answer: 3xy2 and 8xy2

-3x2 and 1/2x2

X2y and 5x2y

Answer as a fraction:  17/6

Answer in decimal form: 2.8333  (approximate)

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

Work Shown:

Let's use the two black points to determine the equation of the red f(x) line.

Use the slope formula to get...

m = slope

m = (y2-y1)/(x2-x1)

m = (4-0.5)/(2-(-1))

m = (4-0.5)/(2+1)

m = 3.5/3

m = 35/30

m = (5*7)/(5*6)

m = 7/6

Now use the point slope form

y - y1 = m(x - x1)

y - 0.5 = (7/6)(x - (-1))

y - 0.5 = (7/6)(x + 1)

y - 0.5 = (7/6)x + 7/6

y = (7/6)x + 7/6 + 0.5

y = (7/6)x + 7/6 + 1/2

y = (7/6)x + 7/6 + 3/6

y = (7/6)x + 10/6

y = (7/6)x + 5/3

So,

f(x) = (7/6)x + 5/3

We'll use this later.

---------------------

We ultimately want to compute f(g(0))

Let's find g(0) first.

g(0) = 1 since the point (0,1) is on the g(x) graph

We then go from f(g(0)) to f(1). We replace g(0) with 1 since they are the same value.

We now use the f(x) function we computed earlier

f(x) = (7/6)x + 5/3

f(1) = (7/6)(1) + 5/3

f(1) = 7/6 + 5/3

f(1) = 7/6 + 10/6

f(1) = 17/6

f(1) = 2.8333 (approximate)

This ultimately means,

f(g(0)) = 17/6 as a fraction

f(g(0)) = 2.8333 as a decimal approximation

D is the correct answer!

Hope this helped with the question you were looking for. Lmk on this problem if you need any help with any other questions!

The expression that can represent the length and the width are 2x - 3 and x + 2 respectively.

where

l = length

w = width

Therefore,

area = 2x² + x – 6

Let's factorise

2x²- 3x + 4x - 6

x(2x - 3) + 2(2x - 3)

Therefore,

(x + 2)(2x - 3)

Therefore, the expression that can represent the length and the width are 2x - 3 and x + 2 respectively.

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Answer: After 10 weeks he will run out of money. The ratio is 25:1

Step-by-step explanation: