There are two people in Sophia's class of 25 named Michael. She infers that 8% of people in the U.S. are named Michael. What is
wrong with Sophia's conclusion?

A)Nothing is wrong with Sophia's conclusion. 2/25=0.08, which is 8%.

B)Sophia used a convenience sample, so it is not an accurate representation
of the population.

C)Sophia should have only looked at a percentage of the males in her class
with the name Michael

D)Sophia's sample was too small; she should have counted all the people
named Michael in her entire school.

Answer:

$75.60

Step-by-step explanation:

First, find the total cost without tax:

42 + 28

= 70

Then, to find the price with sales tax, multiply this by 1.08:

70(1.08)

= 75.6

So, the total cost of her purchases was $75.60

Answer:

AYOOOOO MONEY CHECK

Step-by-step explanation:

Answer:

I can't understand.

this is very dark

Answer:

2x + y = 20 .     y=3x

2x + 3x = 20

5x = 20

x/5 = 20/5

x = 4

(4,0)

Answer:

i need help

Step-by-step explanation:

I dont understand

Answer:

x = 10

Step-by-step explanation:

x = 4 + (4x-4) ^ (1/2)

First, we rewrite the expression:

x = 4 + (4x-4) ^ (1/2)

x = 2 (2+ (x-1) ^ (1/2))

x = 4 + 2 (x-1) ^ (1/2)

From here we get a solution for x = 10

To check it we substitute x = 10 in the expression:

10 = 4 + 2 (10-1) ^ (1/2)

10 = 4 + 2 (9) ^ (1/2)

10 = 4 + 2 (3)

10 = 4 + 6

10 = 10

Answer:

The solution is:

x = 10

Answer:

C. x = 10

Step-by-step explanation:

edgen 2020

Answer:

You buy 10.5 pounds of the $6.50/lb nuts and 4.2 pounds of the $8.60/lb nuts.

Step-by-step explanation:

Let x be the number of pounds of the cheaper nut.

6.5x + 8.6(14.7-x) = 7.1*14.7

6.5x + 126.42 - 8.6x = 104.37

2.1x = 22.05

x = 10.5

Answer:

C

Step-by-step explanation:

The highest number here is 2.01, so we start by looking for an answer that begins with 2.01. Then we compare 1.48, 1.237,1.234, and 1.2. Look into the tenths place to find that 1.48 has a larger tenths place than any other number. continue this cycle to have the full correct order.

Answer:

64

Step-by-step explanation:

Answer:

64

Step-by-step explanation:

p=42 and p+22=?

Substitute:

(42)+22=?

Add:

(42)+22=64

Answer:

7.2 *10⁻⁵

Step-by-step explanation:

Given the diameter of the hair expressed as 0.000072, we are to express it in scientific notation.

The standard form of scientific notation is expressed as;

A * 10ⁿ

A is a value from 1 to 9

n is any integer.

Rewriting 0.000072 in this form, we will need to shift the decimal point to the front 5 times to have;

0.000072 = 7.2 *10⁻⁵ where;

A = 7.2 and n = -5

Note that the power is a negative value since the value is less than 1.

Answer: 0.0497870 ; 0.87754

Step-by-step explanation:

Given that :

λ = 0.0003

Defining a continuous distribution function :

F(x) = 1 - e^-λx = 1 - e^-0.0003x ; x ≥ 0

a. What proportion of the fans will last at least 10,000 hours?

P(x ≥ 10000) = e^-0.0003(10000) = 0.0497870

b. What proportion of the fans will last at most 7000 hours?

P(x ≥ 7000) = 1 - p(x ≤ 7000) = 1 - e^-0.0003(7000)

1 - 0.12245642825 = 0.87754

Answer:

(5,-5)

Step-by-step explanation:

You're only moving down one number on the y-axis, so you go from -4 to -5, and your x-value remains the same

Answer:

Charlene got £50

Danielle got £75

Step-by-step explanation:

Let Charlene get x

this means that Danielle will get x + 25

The ratio is thus;

x/x + 25 = 2/3

3x = 2(x + 25)

3x = 2x + 50

3x-2x = 50

x = £50

Charlene got this

The amount Danielle got will be

50 + 25 = £75

Answer:

niether i think

Step-by-step explanation:

Answer:

5?

Step-by-step explanation:

Answer:

interest

Step-by-step explanation:

Answer:

There is no picture.....

Step-by-step explanation:

what graphed solution?

Answer:

Answer: A. 5:4 Step-by-step explanation: Since the question mentions twelfths of a pie, it is easier to say each pie has 12 pieces or 36 total pieces ordered from the 3 pies. Ty ate 5 and Rob ate 15 which is 3 times more than Ty. A total of 20 pieces have been eaten from the 36 you started with. Eaten = 16. So the ratio is 20:16 which is simplified to = 20 and Remaining 5:4.

Answer:

Equation of line in Point Slope Form is [tex]\mathbf{y-2=-2(x-9)}[/tex]

Equation of line in Slope Intercept Form is: [tex]\mathbf{y=-2x+20}[/tex]

Step-by-step explanation:

We need to write equation of line having slope -2 and point (9,2)

a) Equation in Point Slope Form

The general equation of point slope form is: [tex]y-y_1=m(x-x_1)[/tex]

Where x₁ and y₁ are the points of line and m is slope.

x₁=9 and y₁=2 and m=-2

Putting values in formula and finding equation:

[tex]y-y_1=m(x-x_1)\\y-2=-2(x-9)[/tex]

So, Equation of line in Point Slope Form is [tex]\mathbf{y-2=-2(x-9)}[/tex]

b) Equation in Slope Intercept Form

The general equation of Slope Intercept Form is: [tex]y=mx+b[/tex]

where m is slope and b is y-intercept

Finding y-intercept using slope m=-2 and point(9,2)

[tex]y=mx+b\\2=-2(9)+b\\2=-18+b\\b=2+18\\b=20[/tex]

The equation in slope m=-2 and b=20 is:

[tex]y=mx+b\\y=-2x+20[/tex]

So, equation of line in Slope Intercept Form is: [tex]\mathbf{y=-2x+20}[/tex]

Answer:

The correct answer is the equivalent amount is $139,059.41

Step-by-step explanation:

According to the scenario, the computation of the equivalent amount in year ten is shown below;

= $5,000 × (P/A, 10%,10) + $1,000 × (P/G, 10%,10)

= $5,000 × 6.1466 + $1,000 × 22.8913

= $30,723 + $22,891.30

= $53,614.30

Now the equivalent amount is

= $53,614.30 × (F/P, 10%,10)

= $53,614.30 × 2.5937

= $139,059.41

Hence, the equivalent amount is $139,059.41

Answer:

Angle 8

Step-by-step explanation:

Angle 8 is the corresponding angle to angle 4. Corresponding angles are angles that are in the same relative position at each intersection. Since the lines are parallel they are also congruent. If you look at the lines both angle 8 and 4 are on the bottom right side of the intersection, therefore they are corresponding angles.

Answer:

On dogwood $45,000 was invested

On red maple tree , $10,000 would be invested

Step-by-step explanation:

Let the amount invested on dogwood tree be d and the amount invested on red maple be r

Total is 55,000

Thus;

d + r = 55,000 ••••••(i)

Total profit is;

20/100 * 55,000 = 11,000

Profit on dogwood is;

29/100 * d = 0.29d

Profit on red maple is;

18/100 * r = 0.18r

Both equals 11,000

0.29d + 0.18r = 11,000 •••••••(ii)

From equation i, d = 55,000 - r

substitute into ii

0.29(55,000-r) + 0.18r = 11,000

15950- 0.29r + 0.18r = 11,000

4950 = 0.11r

r = 4950/0.11

r = 45,000

d = 55,000 - r

d = 55,000 - 45,000

d = 10,000

Answer:

- 4/15

Step-by-step explanation:

The  - and - make a + so -2/3 + 2/5

HOPE THIS HELPS

PLZ MARK BRAINLIEST

Answer: AEC = 80

              X=30

YW ;)

Answer:

okay thank you. ummmm yes well it's not loading

Answer:

Step-by-step explanation:

Please see attached a sketch of the television

the size of a television is described by the length of its diagonal in inches.

in this case, the diagonal of the television is 48"

we are told that the aspect ratio is 16:9

hence the dimension of the television as seen from the draft is

length= 16x

height=9x

Applying Pythagoras theorem

(16x)^2+(9x)^2= 48^2

256x^2+81x^2=2304

337x^2=2304

divide both sides by 337 we have

x^2=2304/337

x^2=6.8367

x=√6.8367

x=2.6

What is the height

H=9x

=9(2.6)

=23.5"

Answer:

1.15 miles

Step-by-step explanation:

Answer:

24/20

Step-by-step explanation:

Changed denominator to 20 since 4 and 5  both go into 20. Got 8/20 and 15/20. Added and got 24/20. As a mixed number it is 1  1/5/ Hope this helps!

Answer:

$1.30

Step-by-step explanation:

91/14/5

Answer:

The rate of change of function is: 2

Step-by-step explanation:

Using the given table we have to exclude two pairs of input and output.

The rate of change or slope of function is given as:

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

We take first two pairs of input/output from the table

(x1,y1) = (1,11)

(x2,y2) = (2,13)

Putting the values

[tex]m = \frac{13-11}{2-1}\\m =\frac{2}{1}\\m = 2[/tex]

Hence,

The rate of change of function is: 2