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4 years ago

What is the exact volume of the sphere

Mathematics

2 answers:

Margarita [4]4 years ago

6 0

The formula to find the volume of a sphere $\frac{4}{3}$ × $\pi$ × $r^{3}$

Sidana [21]4 years ago

4 0

I dont think that a sphere has a volume it only has a area

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Snapdragon plants have a gene that determines the presence of chlorophyll. The dominant allele (C) causes the plant to make chlo

AleksAgata [21]

Answer: i)For X = (0,1) then P(x) = (1/3, 2/3)

ii) Then p=(2/3) as n=8

iii) 0.06828

Step-by-step explanation:

Use binomial distribution:

Probability of being yellow (by having 1 recessive allele) is 2/3. This is a binomial distribution with p=2/3. And since there are 8 selections, our n is 8. So p=(2/3), n=8.

Recall that in binomial distribution P(X=x) = C(n,x) × p^x × (1-p)^n-x.

So for 3 out of 8, it means x=3 and n=8.

Our equation becomes P(exactly three Snapdragon are yellow) = P(X=3) = (8C3) × (2/3)³ × (1/3)5 = 0.06828

7 0

4 years ago

Each swing that Susan builds requires $10 in hardware and $20 in wood. She uses the expression 10 + 20 to represent the total co

jenyasd209 [6]

The answer is C. If the original equation is 10+20 for one swing, you multiply that by 3 to get the cost of three swings

7 0

3 years ago

Which are solutions to the following equation? x^2=21

creativ13 [48]

Answer:

√

Explanation:

To find

you have to find the square root of

21 x = ± √ 21 ≈ ± 4.5286

Step-by-step explanation:

4 0

3 years ago

marlee spins a spinner and rolls 1-6 # cube. the spinner has 5 equal parts # 1-5 . what is the probability she will spin an even

forsale [732]

The events are independant (i.e. what she rolls on the cube has no impact on how the spinner works). The probability of two independant events is given by:

$P_t = P_{cube} \times P_{spin}$

For the cube, 1/2 the numbers meet our requitment of being even, so:
$P_{cube} = \frac{Desired}{Total} = \frac{even}{total} = \frac{3}{6} =\frac{1}{2}$

For the spinner, there are 3 odds out of 5 (1, 3 & 5) so:
$P_{spin} =\frac{Desired}{Total} = \frac{odd}{total} = \frac{3}{5}$

and then:
$P_T = P_{cube} \times P_{spin}$
$P_T =\frac{1}{2} \times \frac{3}{5}$
$P_T =\frac{3}{10}$

6 0

4 years ago

A medium sized apple has 70 calories. This is 10 calories less than 1\4 of the calories in an old westie chocolate bar.How many

blondinia [14]

Answer:

$\boxed{320}$

Step-by-step explanation:

Let x = calories in chocolate bar

¼x = ¼ of the calories

¼x – 10 = 10 calories less than half the calories

¼x – 10 = 70

¼x = 80

x = 320

There are $\boxed{320}$ calories in the chocolate bar.

5 0

4 years ago