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3 years ago

Need all the help I can get

Mathematics

1 answer:

o-na [289]3 years ago

4 0

7)$25.50×.06=$1.53
$25.50+$1.53=$27.03
8)$66.30×.07=$4.64(actually $4.641 but have to round since it's money)
$66.30+$4.64=$70.94
9)$23.06×.065=$1.50(actually $1.4989 but have to round since it's money)
$23.06+$1.50=$24.56
10)$34.99×.0525=$1.84(actually $1.836975 but have to round since it's money)
$34.99+$$1.84=$36.83
11)$199.99×.0625=$12.50(actually $12.499375 but have to round since it's money)
$199.99+$12.50=$112.49
12)$130.25×.08=$10.42
$130.25+$10.42=$140.37

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A number is selected, at random, from the set {1,2,3,4,5,6,7,8}.

Olegator [25]

Applying the formula, you have:

A = the number is prime

B = the number is odd

I assume that with "random" you imply that all numbers can be chosen with the same probability. So, we have

$P(A) = \dfrac{4}{8} = \dfrac{1}{2}$

because 4 out of 8 numbers are prime: 2, 3, 5 and 7.

Similarly, we have

$P(B) = \dfrac{4}{8} = \dfrac{1}{2}$

because 4 out of 8 numbers are odd: 1, 3, 5 and 7.

Finally,

$P(A \land B) = \dfrac{3}{8}$

because 3 out of 8 numbers are prime and odd: 3, 5 and 7.

So, applying the formula, we have

$P(\text{prime } | \text{ odd}) = \dfrac{P(\text{prime and odd})}{P(\text{odd})} = \dfrac{\frac{3}{8}}{\frac{1}{2}} = \dfrac{3}{8}\cdot 2 = \dfrac{3}{4}$

Note:

I think that it is important to have a clear understanding of what's happening from a conceptual point of you: conditional probability simply changes the space you're working with: you are not asking "what is the probability that a random number, taken from 1 to 8, is prime?"

Rather, you are adding a bit of information, because you are asking "what is the probability that a random number, taken from 1 to 8, is prime, knowing that it's odd?"

So, we're not working anymore with the space {1,2,3,4,5,6,7,8}, but rather with {1,3,5,7} (we already know that our number is odd).

Out of these 4 odd numbers, 3 are primes. This is why the probability of picking a prime number among the odd numbers in {1,2,3,4,5,6,7,8} is 3/4: they are literally 3 out of 4.

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3 years ago

Where do I drop the SUM on the number line? using a number line, drag and drop the word SUM to the correct value on the number l

VikaD [51]

We need to add fractions 3/4 + 1 1/4 using number line.

First fraction is 3/4.

Please see, we have four small sections from 0 to 1.

3/4 represents three fourth. That is there part of four parts.

So, please plot a point at 3rd point from 0 between 0 and 1.

Then we need to add 1 1/4.

Let us see the fracion part 1/4.

1/4 represents one fourth part.

So, please move one more section from the point we plotted in above step.

We would be on exactly number 1 on the number line after this second step.

Now, we had 1 in front of the mixed fracion 1 1/4.

So, we need to move one number ( complete number) to the right of 1.

We will get on number 2 on number line.

So, the final answer for 3/4 + 1 1/4 is 2 using number line we drew.

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3 years ago

Triangle ABC is a sketch of a triangular flower bed that has an area of 65.1 square feet.

LiRa [457]

Answer:

40 ft

Step-by-step explanation:

Triangle ABC is given by AB = 13 ft, BC = 10 ft, ∠ACB = 50° and AC = b. Let AB = a = 13 ft, BC = c = 10 ft

Since two sides are given and one angle is given, to find the other side, we use the cosine formula. The cosine formula is given by:

$c^2=a^2+b^2-2abcos(C)\\b^2=c^2-a^2+2abcos(C)\\substituting\ values:\\b^2=13^2-10^2+2*10*bcos(50)\\b^2=169-100+12.86b\\b^2-12.86b=69\\b^2-12.86b-69=0\\ solving\ simultaneously\ gives:\\b=16.93\ ft$

The perimeter of the triangle is given by:

Perimeter = AB + BC + AC = 13 + 10 +16.93 = 39.93 ft ≈ 40 ft

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3 years ago

Find an equation of a line that has intercepts (1,0) and (0,4).

Evgen [1.6K]

Answer:

the answer is b

Step-by-step explanation:

(4-0)/(0-1)

4/-1= -4

y - 0 = -4(x - 1)

y = -4x + 4

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3 years ago

The measure of an angle is forty-four times the measure of a complementary angle. what is the measure of each angle?

xenn [34]

In geometry, complementary angles are at least a group of two angles that sum up to 90° or a right angle. So, suppose the two unknown complementary angles are α and β. Then,

α + β = 90°

Since there are two unknowns, we nee two independent equations as well. Thus, we need another equation to solve the system. That comes from the relationship between α and β. Suppose α is greater than β. Then,

α = 44*β

Substituting this to the first equation,

44β + β = 90
45β = 90
β = 2°

Then, knowing that β is 2°,
α = 90 - 2 = 88°

Therefore, the complementary angles are 2° and 88°.

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3 years ago

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