Step-by-step explanation:
1) 3/5 + 2/5 = 5/5 or 1
2) to do this problem you need to make the denominators the same
(2/3)4 (1/4)3 8/12- 3/12. = 5/12
3)likewise here, you only have to change one denomimator
5 3/10 - (2/5)2
5 3/10 - 4/10
now to make this easiee for myself I prefer to make it a mixed number so 5(10)+ 3 = 53/10
53/10 - 4/10 = 49/10 then we convert this back to a mixed number and thus
5 3/10 - 2/5 = 4 9/10
4) 23 (1/12)2 - x = (3 5/8)3
23 2/24 - x = 3 15/24
- 3 15/24 +x = -3 15/24 + x
19 21/24 = x
simplify 19 7/8 liters sold
5) 3 3/4 + 2 3/5 + 5 1/2 = 11 17/20
A on paper and A on presentation 0.25
A on paper only 0.10
A on presentation only 0.30
Do not get an A on either 0.35
Answer the following questions: (1 point each, except the last item, 2 points)
a. What is the probability of getting an A on the paper?
b. What is the probability of getting an A on the presentation?
c. What is the probability of getting an A in the course?
d. Are the grades on the assignments independent? Explain your answer
Answer:
Step-by-step explanation:
Hello!
Given the events:
A: "obtain an A in the paper assigment" ⇒ P(A)= 0.10
B: "obtain A in the presentation assigment" ⇒ P(B)= 0.30
Ac: "do not get an A in the paper assigment" ⇒ P(Ac)= 1 - 0.10= 0.9
Bc: "do not get an A in the presentation assigment" ⇒ P(Bc)= 1 - 0.30= 0.7
P(A∩B)= 0.25
P(Ac∩Bc)= 0.35
a. P(A)= 0.10
b. P(B)= 0.30
c. To get an A in the course you have to get an A in the paper and an A in the presentation, symbolically: P(A∩B)= 0.25
d. If the events A and B are independent, then the ocurrence of one of them doesn't affect the probability of the other ocurring, if this is so then:
P(A)= P(A/B)
P(A) ≠ P(A/B) this means that "B" ocurring modifies the probability of ocurrence of A, i.e. both events are not independent.
I hope it helps!
Answer:
1.4 i would wait for someone else to answer it I'm not sure
Step-by-step explanation:
Answer:V = 72.1 cm³ - 50.0 cm³ = 22.1 cm³
D = mV=99.7g22.1cm³ = 4.51 g/cm³
Step-by-step explanation:
d = mV
m = d×V
V = md
DENSITY
Density is defined as mass per unit volume.
d = mV
Example:
A brick of salt measuring 10.0 cm x 10.0 cm x 2.00 cm has a mass of 433 g. What is its density?
Step 1: Calculate the volume
V = lwh = 10.0 cm × 10.0 cm × 2.00 cm = 200 cm³
Step 2: Calculate the density
d = mV = 433g200cm³ = 2.16 g/cm³
MASS
d = mV
We can rearrange this to get the expression for the mass.
m = d×V
Example:
If 500 mL of a liquid has a density of 1.11 g/mL, what is its mass?
m = d×V = 500 mL × 1.11g1mL = 555 g
VOLUME
d = mV
We can rearrange this to get the expression for the volume.
V = md
Example:
What is the volume of a bar of gold that has a mass of 14.83 kg. The density of gold is 19.32 g/cm³.
Step 1: Convert kilograms to grams.
14.83 kg × 1000g1kg = 14 830 g
Step 2: Calculate the volume.
V = md = 14 830 g × 1cm³19.32g = 767.6 cm³
How do I prove this with the double angle law
Answer:
0.3
To round 0.273 to the nearest tenth consider the hundredths’ value of 0.273, which is 7 and equal or more than 5. Therefore, the tenths value of 0.273 increases by 1 to 3.
0.273 rounded to the nearest tenth = 0.3