Solve for x. Round your answer to the nearest tenth if necessary.
70°
6
X

Answer: B, or 824(1.03)^n-1

824 is the base we are starting off with, and when you multiply something by 1.03, the product will be +3% of the original number :)

Hope this helps!

Using the normal distribution, it is found that the correct option is:

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem:

Then:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{117 - 100}{17}[/tex]

[tex]Z = 1[/tex]

Hence, the option d is correct.

To learn more about the normal distribution, you can check https://brainly.com/question/24663213

Answer:

y = 2/5x

Step-by-step explanation:

in order to get the y-intercept (b) , the value of x has to be zero. we already have the y-intercept which is zero. so far, the equation looks like this:

y = mx + 0

in order to find the slope, we'll do y2-y1 / x2 - x1:

2-0

5-0

m is 2/5, so the answer is:

y = 2/5x

Answer:

55 from un-pure and 165 from pure

Step-by-step explanation:

to get 220 pints with 95% purity you need a mixture of 209 parts to 11 parts (220 *0.95 and 220 * 0.05)

we call the un-pure mixture a and the pure mixture b

all un-pure parts come from a and b in the following ratios

11 = 0.2a + 0b (each pint of mixture a adds 0.2 pints of unpure stuff and each pint of b adds no unpure stuff)

which we can then solve as:

a = 55

all pure parts come from a and b in the following rations

209 = 0.8a + 1b (each pint of mixture a adds 0.8 pints of pure stuff and each pint of b adds a full pint of the pure stuff)

now we can replace a with 55 (from above)

209 = 44 + b,  and solve to

b = 165

now to double check

55 * (0.8x + 0.2y) + 165x would give you

44x + 11y + 165x, which is

11x + 209y and if you then check the ratio

209 / (209+11) = 0.95 again

There will be 55 pints and of un-pure and 165 pints of pure fruit drinks.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

To get 220 pints with 95% purity you need a mixture of 209 parts to 11 parts (220 *0.95 and 220 * 0.05)

We call the un-pure mixture a and the pure mixture b

All un-pure parts come from a and b in the following ratios

11 = 0.2a + 0b (each pint of mixture a adds 0.2 pints of unpure stuff and each pint of b adds no unpure stuff)

which we can then solve as:

a = 55

All pure parts come from a and b in the following rations.

209 = 0.8a + 1b (each pint of mixture a adds 0.8 pints of pure stuff and each pint of b adds a full pint of the pure stuff)

Now we can replace a with 55 (from above)

209 = 44 + b,  and solve to

b = 165

Now to double check

55 x (0.8x + 0.2y) + 165x would give you

44x + 11y + 165x, which is

11x + 209y and if you then check the ratio

209 / (209+11) = 0.95

Therefore, there will be 55 pints of unpure and 165 pints of pure fruit drinks.

To know more about an expression follow

https://brainly.com/question/14022405

#SPJ2

Answer:

Step-by-step explanation:

Answer:

quadratic function

Step-by-step explanation:

y=(x-1)²-3

Answer:

16

Step-by-step explanation:

16

Step-by-step explanation:

32 ÷ 8 = 4

4 × 4 = 16

[tex] \\ [/tex]

Answer:

The value is [tex]81[/tex]

Step-by-step explanation:

We need to find value of [tex]5x+31[/tex] when [tex]x=10[/tex]

We have

[tex]5\times10+31=50+31\\\\=81[/tex]

Answer:

yes your math seems about right but wait for someone else to respond also because im not completely sure

Step-by-step explanation:

Answer:

If her garden is 70m long, and it's a square type, wouldn't that suggest that her garden is 280m long?(70m X 4) And if this is the case, her garden would be 280 X 3=840 since there are 3 rounds?

Step-by-step explanation:

Answer: 840m

Answer:

8, 2, 14

Step-by-step explanation:

sum the parts of the ratio, 4 + 1 + 7 = 12 parts , then

24 ÷ 12 = 2 ← value of 1 part of the ratio, then

4 parts = 4 × 2 = 8

7 parts = 7 × 2 = 14

The 3 numbers are 8, 2, 14

Answer:

1 apple

Step-by-step explanation:

2-1=1

Have a great day or night wharever you are!

The number of apples you will have left if your sister takes away one is; 1 apple

We are told that you have 2 apples.

Now, if you have 2 it means that anyone taken away from you would be subtracted from the one that you have.

This means that;

Number of apples you have left if your sister takes one is; 2 - 1 = 1 apple.

Read more on subtraction at; https://brainly.com/question/17301989

Answer:

y = 6 when x = 18

Step-by-step explanation:

The appropriate formula for this direct proportion is y = kx, where k is the constant of proportionality.

We know y = 3 when x = 9:  3 = k(9)

This yields k = 3/9, or k = 1/3

Then the formula is y = (1/3)x

and when x = 18, y = (1/3)(18) = 6

y = 6 when x = 18

Answer: It is letter C. 1/22

Step-by-step explanation:

Change 2 3/4 to an improper fraction to get 11/4, then multiply 1/8 by the reciprocal of 11/4 which is 4/11.

1/8 x 4/11= 4/88

4/88 simplified = 1/22

Answer:

x = (9 ±√201) ÷ 12

Step-by-step explanation:

6x² -5x -9 = 0 ( rearranged)

a = 6  b = -5  c = -9

- - 9 = 9

-9² = 81 (the 81 must be positive, this is one error)

-4 x 6 x -5 = 120 ( the 5 must be a minus number, this is one error)

120 + 81 = 201

x = (9 ±√201) ÷ 12

Answer:

x = 15

Step-by-step explanation:

84 = 5x + 9

Subtract 9

75 = 5x

Divide by 5

x = 15

Answer:

x = 15

Step-by-step explanation:

5x + 9 and 84 are alternate angles and are congruent , so

5x + 9 = 84 ( subtract 9 from both sides )

5x = 75 ( divide both sides by 5 )

x = 15

Answer:

Any number smaller than 2

Step-by-step explanation:

You would graph this by wrighting a solid, filled in circle with an arrow point toward the negative numbers, because those numbers are smaller than 2

(i)Given number = 8000

=8 × 1000

= 8×10³

The standard form of 8000 is 8×10³

(ii)Given number = 0.00000000094

⇛ 94/100000000000

⇛ 94/10¹¹

On multiplying and dividing with 10 then

⇛ (94/10¹¹)×(10/10)

⇛ (94/10)×(10/10¹¹)

⇛ 9.4 × (1/10¹⁰)

⇛ 9.4/10¹⁰

⇛ 9.4×10^-10

The standard form of 0.00000000094 = 9.4×10^-10

(iii) Given number = 467.5

⇛ 4675/10

On multiplying and dividing with 1000 then

⇛ (4675/10)×(1000/1000)

⇛ (4675/1000)×(1000/10)

⇛ 4.675 × 100

⇛ 4.675×10²

The standard form of 467.5 = 4.675×10²

(iv) Given number = 50200000000000

⇛ 502×100000000000

On multiplying and dividing with 100 then

⇛ (502/100)×100000000000×100

⇛ 5.02 ×10000000000000

⇛5.02 × 10¹³

The standard form of 50200000000000 is

5.02 × 10¹³

(v)Given number = 0.00000005837

⇛ 5837/100000000000

On multiplying and dividing with 1000 then

⇛ (5837/1000)×(1000/100000000000)

⇛ 5.837/100000000

⇛ 5.837/10⁸

⇛ 5.837×10^-8

The standard form of 0.00000005837 is 5.837×10^-8

(vi) Given number = 71860000000

⇛7186×10000000

On multiplying and dividing with 1000 then

⇛ (7186/1000)×10000000×1000

⇛ 7.186×10000000000

⇛ 7.186×10¹⁰

The standard form of 71860000000 is 7.186×10¹⁰

Answer:

40

Step-by-step explanation:

The answer would be 20/9

this would be because you need to convert it into an improper fraction due to it originally being 1 7/9 then you would divide 16/9 by 4/5 and simplify!

I hope this helped :)

Answer:

[tex]\frac{20}{9}[/tex]

Step-by-step explanation:

hope this helps have a great rest of your day

Answer:

The first 10 digits of pi (π) are 3.1415926535. The first million digits of pi (π) are below, got a good memory? Then recite as many digits as you can in 30 ...

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

5x+12=42

subtract 12

5x=30

divide by 5

x=6

Answer:

Step-by-step explanation:

Conclusion:

Therefore, the answer is 'x = 6'.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Answer:

No it is not a factor of 56

Answer:

No

Step-by-step explanation:

6,12,18,24,30,36,42,48,54,60

The distance from the top of the mirror to the ceiling once the mirror is hung on the wall is 21 inches

The dimension of the mirror is given as:

[tex]Height = 24\ in[/tex]

[tex]Width = 28\ in[/tex]

From the center of the mirror to the floor of the wall, the distance is:

[tex]Distance =5\frac14\ ft[/tex]

So, the distance to the top of the mirror will be:

[tex]Top = 5\frac 14\ ft + \frac 12 \times Height[/tex]

Substitute 24 for height

[tex]Top = 5\frac 14\ ft+ \frac 12 \times 24\ in[/tex]

[tex]Top = 5\frac 14\ ft+ 12 \ in[/tex]

Convert feet to inches

[tex]Top = 5\frac 14\times 12\ in+ 12 \ in[/tex]

[tex]Top = 63\ in+ 12 \ in[/tex]

[tex]Top = 75 \ in[/tex]

The distance from the top of the mirror to the ceiling is the difference between the height of the wall and 75 inches.

So, we have:

[tex]Distance = 8\ ft - 75\ in[/tex]

Convert feet to inches

[tex]Distance = 8\times 12\ in - 75\ in[/tex]

[tex]Distance = 96\ in - 75\ in[/tex]

[tex]Distance = 21\ in[/tex]

Hence, the distance is 21 inches

Read more about lengths at:

https://brainly.com/question/10545161

Answer:

The answer would be 5 Girls and 4 Boys.

Step-by-step explanation:

15 Girls divided by 3 groups= 5 girl groups

12 boys divided by 3= 4 boy groups

Answer:

3+3=6

the answer is 6 many groups created

Answer:

you would of read 3 pages

Step-by-step explanation:

Answer:

1 decilitre  

Step-by-step explanation:

You can look up charts for these. Look up litre chart

1) 23

That's all I know lol

Answer:

8(2x-1)

Step-by-step explanation:

16x-8=8(2x-1)