There are 10 red apples and 12 green apples in a basket. If Vinta randomly selects 3 apples from
the basket, what is the probability they will all be green apples?

Answer:

24

Step-by-step explanation:

I'm pretty sure that it would be division so 120 divided by 5 is 24

Answer:

We reject H₀ at 95 % of CI the group of Gen Xers who do not pay their credit card each month, is greater than this proportion for Millennians

Step-by-step explanation:

Sample proportion 1: Born between 1980 and 1996

sample size    n₁  = 450

p₁  =  0,48        p₁ = 48 %

x₁ = 0,48 * 450        x₁ = 216

Sample proportion 2:  Born between 1965 and 1971

sample size    n₂  = 300

p₂ =  0,60         p₂ = 60%

x₂  = 0,6* 300     x₂  = 180

Test Hypothesis:

Null Hypothesis                          H₀               p₂  =   p₁

Alternative Hypothesis              H                p₂  >  p₁

Samples both big enough to use the normal distribution as an approximation to the binomial distribution.

We assume  CI = 95 %   then significance level α   = 5 %  the alternative hypothesis tells us that we need to develop a one-tail test to the right.

z-score  is z(c)  for  α = 0,05       from z-table   z(c) = 1,64

To calculate z(s)

z(s)  =  ( p₂  -  p₁ ) / √ p*q ( 1 /n₁ + 1 / n₂)

p₂ - p₁  =  0,60  - 0,48

p₂ - p₁  =  0,12

p = ( x₁ + x₂ ) / n₁ + n₂

p = ( 216  + 300) / 450 + 300

p = 516 / 750     p = 0,688      then   q = 1 - p     q = 0,312

z(s) = 0,12 / √ 0,688*0,312* ( 1/450) + 1/ 300)

z(s) = 0,12 / √ 0,2146* ( 0,0022 + 0,0033)

z(s) = 0,12 / √ 0,001192

z(s) = 0,12/ 0,03452

z(s) = 3,47

Comparing |z(c)|   and |z(s)|

z(s) > z(c)

Then z(s) is in the rejection region. We reject H₀.

We can support the  claim that the proportion of the group Gen Xers who do not pay their credit card is greater than Millennians

Answer:

6

Step-by-step explanation:

12 divided by 6 is 2. 3/4 divided by 6 is 1/8 because 1/4 equals to 2/8. 3/4 quals to 6/8. I'm also not sure if what I said sounded correct.

9514 1404 393

Answer:

  2

Step-by-step explanation:

The slope formula is useful for this.

  m = (y2 -y1)/(x2 -x1)

  m = (-2 -(-6))/(3 -1) = 4/2 = 2

The slope of the line is 2.

Answer:

14 full potions or 14 portions and 7/10 of the 15th potion

Step-by-step explanation:

25/1.7=14.7058823529

Answer:

Cherry ice cream contains 19.75 grams of fat

Mint chocolate chunk ice cream contains 6.75 grams of fat.

Step-by-step explanation:

From the given question,

3C + 1M = 66 ............. 1

1C + 3 M = 70 ........... 2

Multiply equation 1 by 1, and 2 by 3 to have,

3C + 1M = 66

3C + 9 M = 210

Subtract,

1 M - 9 M = 66 - 210

-8 M = -54

Divide through by -8 to have,

M = 6.75

Substitute the value of M in equation 1,

3C + 1(6-75) = 66

3C = 66 - 6.75

3C = 59.25

C = 19.75

Thus,

1 scoop of the Cherry ice cream contains 19.75 grams of fat, while 1 scoop of the Mint chocolate chunk ice cream contains 6.75 grams of fat.

Answer:

50%

Step-by-step explanation:

As you know 8 & 8

= 16

and there's 16 dots in all.

So 8% Of 16%

Would lead to 50%

P.S: Sorry if I'm wrong I tried my best. Best wishes!!! And here's some sparkles ✨ (◍•ᴗ•◍)✧*。!!!

Answer:

first one is correct

Step-by-step explanation:

Answer:

[tex]A = \frac{r}{2}C[/tex]

Step-by-step explanation:

Given

Shape: Circle

Required

The area and the circumference (relationship)

This implies that, we write an expression that relates the area and the circumference.

Circumference is calculated as:

[tex]C = 2\pi r[/tex]

Area is calculated as:

[tex]A = \pi r^2[/tex]

The area can be rewritten as:

[tex]A = \frac{2\pi r^2}{2}[/tex]

Further rewrite as:

[tex]A = \frac{r}{2}*2\pi r[/tex]

Recall that:[tex]C = 2\pi r[/tex]

So, the expression becomes

[tex]A = \frac{r}{2}*C[/tex]

[tex]A = \frac{r}{2}C[/tex]

Answer:

316.41 m³

Step-by-step explanation:

7.5x7.5x3.75=210.9375

3.75x3.75x7.5=105.46875

210.9375+105.4675=316.405

Answer

$3

Step-by-step explanation:

To find the x value, you want to cancel out the y terms in the equations. To do so, multiply (2x+5y=6) by 2, and (-x+2y=-3) by -5. This gives you

4x+10y=12

5x-10y=15

You can then cancel out the y terms and add the other terms from the 2 equations together to make

9x=27

You then divide 27 by 9 to get 3 as the value for x.

Answer:

[tex]f(x)-g(x)=2x^2(1-x)[/tex]

Step-by-step explanation:

Given that,

[tex]f(x)=x^2\\\\g(x)=2x^3-x^2[/tex]

We need to find the value of f(x)-g(x).

Put the values of f(x) and g(x). So,

[tex]f(x)-g(x)=x^2-(2x^3-x^2)\\\\=x^2-2x^3+x^2\\\\=2x^2-2x^3\\\\=2x^2(1-x)[/tex]

So, the value of f(x)-g(x) is equal to [tex]2x^2(1-x)[/tex].

Answer:

Cylinder

Step-by-step explanation:

Cones are pointed at the top or bottom

Rectangular Prisms are shaped like rectangles

Answer:

B

Step-by-step explanation:

9514 1404 393

Answer:

  (x1, x2) = (3, -4)

Step-by-step explanation:

As with any 2-step linear equation, subtract the constant, then multiply by the inverse of the coefficient of the variable.

  [tex]\left[\begin{array}{cc}3&2\\5&5\end{array}\right]\left[\begin{array}{c}x\\y\end{array}\right]+\left[\begin{array}{c}1\\2\end{array}\right]=\left[\begin{array}{c}2\\-3\end{array}\right]\\\\\left[\begin{array}{cc}3&2\\5&5\end{array}\right]\left[\begin{array}{c}x\\y\end{array}\right]=\left[\begin{array}{c}1\\-5\end{array}\right]\\\\\left[\begin{array}{c}x\\y\end{array}\right]=\dfrac{1}{5}\left[\begin{array}{cc}5&-2\\-5&3\end{array}\right]\left[\begin{array}{c}1\\-5\end{array}\right][/tex]

Performing the multiplication of the matrix by the vector gives the solution.

  x = ((5)(1) +(-2)(-5))/5 = 15/5 = 3

  y = ((-5)(1) +(3)(-5))/5 = -20/5 = -4

Using your variables, x1, x2, the solution is ...

  (x1, x2) = (3, -4)

Answer:

D) -5

Step-by-step explanation:

10x-5=-55

10x=-55+5

10x=-50

x=-50/10

x=-5

Answer:

264

Step-by-step explanation:

(251 + 277) / 2 = 264

Answer:

148.8 cm

Step-by-step explanation:

Length * width * height = volume

9.3 * 4 * 4 = 148.8

Answer:

1.5 feet

Step-by-step explanation:

12/8 = 1.5 feet

9514 1404 393

Answer:

  r = 2

Step-by-step explanation:

The first differences between successive terms are ...

  10 -5 = 5

  20 -10 = 10

The differences are not constant, so the sequence is NOT arithmetic.

__

The ratios of successive terms are ...

  10/5 = 2

  20/10 = 2

The ratios are constant, so the sequence is ...

  geometric with a common ratio of 2.

Answer:

Yes

Step-by-step explanation:

A linear equation follows the y=mx+b equation. Your equation is g(x)= 7x+9 which follows the formula.

Answer:

Yes.

Step-by-step explanation:

Option #1: Graph the equation. (you can search "y=9+7x")

Option #2: Look at the equation. Rewrite it as "y=7x+9". This follows the form of y=mx+b, which is the form of a linear equation.

Answer:

= p× r²

= 3,14×7×7

= 21,98×7

= 153,86

[tex]153.86 \div 3.14 = 7[/tex]

Answer:

The answer is B-452.4

Step-by-step explanation:

The formula for volume of a cylinder is V= πr^2h

so you would do 3.14 times 6 squared times 4

6 squared is 36 times 4 equals 144. Then you multiply that by pi, or 3.14 and you get 452.16 round to the nearest tenth and get 452.2

Hope this helps!

Answer:

I had a great quantity of apples and used 18 to make a large apple pie for my family and I, then I only had 24 left over.

Step-by-step explanation:

X in the equation represents the amount of apples I have at the beginning of the apple pie making process. Minus 18 represents the apples that are being used for the apple pie, so they are not there anymore. 24 represents the apples left over.

Answer:

$2

Step-by-step explanation:

She procures 5% of $40 every year. To discover the amount she makes in 1 year, increase 5% and 40,40*5%.Convert 5% to a decimal by isolating by 100.5%/100=0.05  40*0.05=2

Answer:

40

Step-by-step explanation:

5x2 is 10 and 10x4=40

Answer:

1)1920 in2  (2)120 in3

Step-by-step explanation:

Answer: It’s 5 if it’s the two legs

Step-by-step explanation:

Use the Pythagorean Theorem