One thousand families were surveyed to
determine the distribution of families by size. The
results follow.
Family Size 2
3
4
5 6 7 8
Frequency
350
200 245 125
66
10
To the nearest percent, the probability that a given
family has 3 people is [? ]%.

Answer:

No solution

Step-by-step explanation:

1.Simplify

3(x+5)-3 = 2(3x+1) -3x

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

2.Simplify

3x+12=3x+2

3. Combine like terms

3x-3x+12-2=3x-3x+-2

10 does not equal 0

No solution

Answer:

[tex]\boxed{\boxed{\sf No\:Solution}}[/tex]

Step-by-step explanation:

[tex]\sf 3\left(x+5\right)-3=2\left(3x+1\right)-3x[/tex]

Expand: Apply distributive property:

[tex]\sf 3(x+5)-3[/tex]

[tex]\sf 2(3x+1)[/tex]

[tex]\sf 3x+12=3x+2[/tex]

Subtract 12 from both sides:

[tex]\sf 3x+12-12=3x+2-12[/tex]

[tex]\sf 3x=3x-10[/tex]

Subtract 3x from both sides:

[tex]\sf 3x-3x=3x-10-3x[/tex]

[tex]\sf 0=-10[/tex]

Sides are not equal, so therefore there is no Solution.

___________________________________________

Answer:  See below.

Step-by-step explanation:

We'll assume the top and bottom lines are parallel.  That means angles 4 and 5 are 90 degrees since the line coming down is perpendicular to the parallel line.  The sum of angles 1 and 2 is also 90°.  The interior angles of a triangle must add to 180°. So far we have two:  90° and 60°.  The third must therefore be 30°(angle 2).  Angle 3 must be 120° since it shares a straight line with the 60° angle and the straight line is 180° from one side to the other.  Angle 1 must be (90°- angle 2), which makes it 60°.  

1.  60°

2. 30°

3.  120°

4.  60°

5.  90°

You're answer would be 99.0%.

Answer:

  1150 ft W 52° N

Step-by-step explanation:

There are several ways a problem like this can be solved. Perhaps the easiest is to make use of a suitable vector calculator.

Using West as the reference for angles measured clockwise (toward north), the final position is ...

  1000∠45° +200∠90° = 1150.149∠52.063°

__

You can also figure this using the Law of Cosines. It will tell you the resultant distance (c) in terms of the individual distances (a, b) and the angle between them (135°).

  c² = a² +b² -2ab·cos(C)

  c² = 1000² +200² -2·1000·200·cos(135°) ≈ 1,322,842.7

  c ≈ √1322842.7 ≈ 1150.149

The angle difference from 45°N can be found using the Law of Sines.

  sin(B)/b = sin(C)/c

  B = arcsin(b/c·sin(C)) = arcsin(200/1140.149·sin(135°)) ≈ 7.063°

This means Caroline's bearing from home is 45° +7.063° ≈ 52° north of west.

Caroline's final position is 1150 W 52° N in relation to her home.

Answer:

In a word processing document or on a separate piece of paper, use the guide to construct a two-column proof proving that lines l and m are parallel.

Answer:

23/25

Step-by-step explanation:

(25x+20)/25x+3x/25x

20+3/25=23/25

28x+20

Step-by-step explanation:

[tex]2.5(10x + 8) + 3x \\ 25x + 20 + 3x \\ 28x + 20[/tex]

Answer:

GCF: (x + 2)(9x + 6)

Step-by-step explanation:

Given the algebraic expression, 9x(x + 2) + 6(x + 2), where the greatest common factor (GCF) must be taken out:

Since (x + 2) are common between the two groups, then we can group 9x and 6 together.

In other words:

= 9x(x + 2) + 6(x + 2)  

= (9x + 6)(x + 2)

If we perform the FOIL method onto (9x + 6)(x + 2), it will result in the following trinomial:

(9x + 6)(x + 2)

= 9x² + 18x + 6x + 12

= 9x² + 24x + 12

In order to see why this works, let's go back to the original problem, as if we're trying to determine the resulting trinomial:

Given:  9x(x + 2) + 6(x + 2)  

Distribute 9x and 6 into the parenthesis:

= 9x² + 18x + 6x + 12

Combine like terms:

= 9x² + 24x + 12    ⇒ As we can see, this trinomial matches our solution.

Therefore, the correct answer is: (x + 2)(9x + 6).  

Answer:

with what

Step-by-step explanation:

I am confused there is no question at all showing

Answer:

Answer:

The correct answer is C - 7.8 < 7 5/6 < 7.9

Step-by-step explanation:

First, convert 7 5/6 to decimal form --> 7.83.

If you don't know how to convert, think about what 5/6 is equal to and put it in decimal form. Add your decimal to the whole number, and there is your answer.

7.83 is in between 7.8 and 7.9, so it must be the answer.

I hope this helps!

Step-by-step explanation:

Answer:

Step-by-step explanation:

1.02 = _____ hundredths

Answer:

Median: 9

Mode: 10

Range: 4

Step-by-step explanation:

Median

Line up all the numbers from smallest to biggest and take the one in the middle. In this case it's both 8 and 10. So you would do (8+10)/2. which is 9

Mode

it's the number that occurs the most number of times, which is 10.

Range

Range is 10-6, so it's 4.

A mean is an arithmetic average of a set of observations. The mean, median, and the range of the given data set 6, 8, 10, 10 are 8.5, 9, and 4 respectively.

A mean is an arithmetic average of a set of observations. it is given by the formula,

Mean = (Sum of observations)/Number of observations

The mean, median and range of the given data set 6, 8, 10, 10 is,

Hence, the mean, median, and the range of the given data set 6, 8, 10, and 10 are 8.5, 9, and 4 respectively.

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The given properties would be most useful as a machinery lubricant.

We are given the chemical and physical properties of the unknown substance as follows;

Now, some of the properties of machinery lubricants are;

These properties of Machinery Lubricants are same as the given properties. Thus, we conclude that the properties would be most useful as a machinery lubricant.

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Complete question is;

High viscosity at higher temperatures

unreactive with other substances

liquid at high temperatures

organic compound

poor conductor of electricity

Based on the provided chemical and physical properties of the unknown substance. It would be MOST useful as a(n)

A) machinery lubricant.

B) heat insulator in a home.

C) internal combustion engine fuel.

D) electrical conductor in a computer circuit.

Answer:

Step-by-step explanation:

it is blank

Answer:

A

Step-by-step explanation:

y = - 1.7x + 8.5 ( add 1.7x to both sides )

1.7x + y = 8.5 ( multiply through by 10 )

17x + 10y = 85 → A

Answer:

114.0g/538.5cm^3=0.2117 glcm^3

Step-by-step explanation:

The statement that is true about a rhombus that is not true about all parallelograms are as follows;

Diagonals of a rhombus are perpendicular bisector of each other. This means they form a right angle where they intersect.

This is not true for parallelograms. The diagonal only bisects each other.

All sides are congruent for a rhombus .

This is not true for a parallelogram. Only opposite sides are congruent for a parallelogram.

The diagonal bisect the vertex angles of the rhombus.

This is not true for a parallelogram.

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Answer:

x=10.03115897…,−0.69782564…x=10.03115897…,-0.69782564…

Step-by-step explanation:

Answer:

97

Step-by-step explanation:

100-3(3y-4x)

97(3×7-4×5)

97(21-20)

97(1)

=97

Answer:

0

Step-by-step explanation:

Absolute values can't have negatives as answer. Useful tip, If there is a negative as an answer for absolute value, there is no solution, if it has 0 as an answer, there is 1 solution, and if it has a positive as answer, then it will have 2 solutions.

Answer:

yung nasa pic sagut sa⇩

The center of a circle lies on the line y=6x+2 and is tangent to the x-axis at (-2,0)

What is the equation of the circle in standard form?⇩

-Standard form for the equation of a circle is (x−h)2+(y−k)2=r2. The center is (h,k) and the radius measures r units. To graph a circle mark points r units up, down, left, and right from the center.

thank me later♡

Answer:

  17.3 m

Step-by-step explanation:

If t is the height of the tree, then the length of the shadow is ...

  shadow length = t/tan(α)

where α is the angle of elevation. The difference in shadow lengths is ...

  20 m = t/tan(30°) -t/tan(60°) = t(√3 -1/√3)

  t = (20 m)/(2/√3) = 10√3 m ≈ 17.3 m

The tree is about 17.3 meters high.

The amount in the account after 1 year is $2,040.00

The amount in the account after 2 years is $2,080.80

What is future value of a single cash flow?

The future value of a single cash flow like the $2,000 is the future equivalent worth of the initial amount when interest earned is added to it.

The future value in this case can be determined as shown thus:

FV=PV*(1+r)^N

FV=unknown future value

PV=initial investment=$2000

r=interest rate=2%

N=years of investment , 1 and 2 years respectively

FV after one year:

FV=$2000*(1+2%)^1

FV=$2,040.00

FV after  two years:

FV=$2000*(1+2%)^2

FV=$2,080.80

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Full question:

Suppose that $2000 is placed in an account that pays 2 % interest compounded each year. Assume that no withdrawals are made from the account.

Find the amount after one year. Find the amount after two years

Answer:

15/2= 7 1/2 =7.5

Step by step

Step 1 of 2: Add.

Add

5 and 2 over 165

2

16

+ 2 and 3 over 82

3

8

= 120 over 16

120

16

Step 1 of 2: Add, sub-step a: Convert mixed number to improper fraction.

Convert mixed number to improper fraction

5 and 2 over 165

2

16

= ( 5 × 16 ) over 16

5 × 16

16

+ 2 over 16

2

16

= ( 80 + 2 ) over 16

80 + 2

16

= 82 over 16

82

16

Step 1 of 2: Add, sub-step b: Convert mixed number to improper fraction.

Convert mixed number to improper fraction

2 and 3 over 82

3

8

= ( 2 × 8 ) over 8

2 × 8

8

+ 3 over 8

3

8

= ( 16 + 3 ) over 8

16 + 3

8

= 19 over 8

19

8

Step 1 of 2: Add, sub-step c: Find common denominator.

Find common denominator

82 over 16

82

16

+ 19 over 8

19

8

= ( 82 × 1 ) over ( 16 × 1 )

82 × 1

16 × 1

+ ( 19 × 2 ) over ( 8 × 2 )

19 × 2

8 × 2

= 82 over 16

82

16

+ 38 over 16

38

16

16 is the least common multiple of denominators 16 and 8. Use it to convert to equivalent fractions with this common denominator.

Step 1 of 2: Add, sub-step d: Add.

Add

82 over 16

82

16

+ 38 over 16

38

16

= ( 82 + 38 ) over 16

82 + 38

16

= 120 over 16

120

16

Step 1 of 2: Add.Hide

Step 2 of 2: Simplify.

Simplify

120 over 16

120

16

= 15 over 2

15

2

= 7 and 1 over 27

1

2

Step 2 of 2: Simplify, sub-step a: Reduce fraction to lowest terms.

Reduce fraction to lowest terms

120 over 16

120

16

= ( 120 ÷ 8 ) over ( 16 ÷ 8 )

120 ÷ 8

16 ÷ 8

= 15 over 2

15

2

8 is the greatest common divisor of 120 and 16. Reduce by dividing both numerator and denominator by 8.

Step 2 of 2: Simplify, sub-step b: Convert improper fraction to mixed number.

Convert improper fraction to mixed number

15 over 2

15

2

= 7 and 1 over 27

1

2

15 ÷ 2 = 7 remainder 1

Answer:

24

Step-by-step explanation:

You do the opposite of whats states -54 divided by -6 because it says the number was multiplied which gives us 9 then since 15 was subtracted we instead add 15 which equals 24.

Answer:

the number is -5.7

Step-by-step explanation:

do everything in reverse operations,

-54 divided by -6= 9.3

9.3-15= -5.7

For proof you can do it yourself on a calculator.

Answer:

180

Step-by-step explanation:

[tex]16+16*5+7+7+7+7+7+7+7+7+7+7+7+7\\16+80+7+7+7+7+7+7+7+7+7+7+7+7\\16+80+84\\180[/tex]

Answer:

180

Step-by-step explanation:

Answer:

T=n-1+4/n

n=(n^2-n+4)/T

Step-by-step explanation:

T=n-1+4/n

n=(n^2-n+4)/T

Answer:

there is no y axis because the term is kept in second of y and if that is negative then only y axis will there otherwise there will no y axis

The ordered pair represents the reflection of the point (−2,3) over the y-axis is (2, 3)

A reflection of a point in the axes involved reflecting the image over the axes to create a mirror image.

Given that, a point is (-2,3) is being reflected over y-axis,

Rule of reflection over y-axis is, A(x, y) ↔ A'(-x, y)

Therefore, applying the rule to (-2,3):

(-2,3) ↔ (2, 3)

Hence, the reflected point is (2, 3)

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The answer is C, 6.6 miles.

Answer:

B

Step-by-step explanation:

I've done these type of questions before, pretty easy you can even figure it out without paper, just pure logic.

Answer:

The answer is A.......

Step-by-step explanation:

Answer:

Step-by-step explanation:

The product of a number, n, and 0.4 is 8:

(n)(0.4) = 8

n = (8/0.4)

n = 20