What is one half added to five eighths

Answers

Answer 1

Answer: we need to add 1/2 and 5/8.

First, we will find a common denominator to both numbers. The common denominator will be 8.
1/2 is equivalent to 4/8

Then, we add the numerators:
4/8 + 5/8 = 9/8

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What’s the answer to this

Answers

Answer:

Step-by-step explanation:

Given f(x) the f(x) + c represents a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

Here c = - 6, thus a shift down, thus

g(x) = x² - 6 → A

If a company has 150 shares of common stock and $15,000.00 to be distributed to its holders, how much would each share receive?

Answers

If there are a total of 150 shares of common stock that total $15,000.00 total, you will need to divide the total price by the number of shares to determine the price per share. In this example, it would be as follows: $15,000.00/150 shares = $100/share. Each share would receive $100.

What is the surface area of a rectangular prism that has a height of 5 cm, a width of 10 cm, and a depth of 4 cm?5 cm
4 cm
10 cm
[Not drawn to scale]
120 square centimeters
180 square centimeters
220 square centimeters
270 square cemtimeters

Answers

Answer:

180 squared centimetres

Step-by-step explanation:

5 x 10 = 50 x 2 = 100

5 x 4 = 20 x 4 = 80

100 + 80 = 180

Answer:

180

Step-by-step explanation:

9. Nick has desigied a diamond-shaped kite as shown below. The measures of so me sides of the kite, are marked in thefigure. Find the value of x (JUSTIFY)

Answers

Answer:

$x=(10√(6))/(7)\ in$

Step-by-step explanation:

step 1

In the right triangle DOC

Find the measure of side DO

Applying the Pythagoras Theorem

$DC^(2)=DO^(2)+OC^(2)$

substitute the given values

$7^(2)=DO^(2)+5^(2)$

$DO^(2)=7^(2)-5^(2)$

$DO^(2)=49-25$

$DO^(2)=24$

$DO=2√(6)\ in$

step 2

In the right triangle DOC

Find the sine of angle ∠ODC

sin(∠ODC)=OC/DC

substitute

$sin(ODC)=5/7$ -----> equation A

step 3

In the right triangle DOP

Find the sine of angle ∠ODP

sin(∠ODP)=OP/DO

substitute

$sin(ODP)=x/2√(6)$ -----> equation B

step 4

Find the value of x

In this problem

∠ODC=∠ODP

equate equation A and equation B

$5/7=x/2√(6)$

$x=(10√(6))/(7)\ in$

The test to detect the presence of the hepatitis B virus is 97% accurate for a person who has the disease and 99% accurate for a person who does not have the disease. In a given population, 0.55% of the people are infected. The probability that a randomly chosen person gets an incorrect result is

Answers

0.0055*0.03+0.9945*0.01

because 0.55% people are infected and inaccuracy of the test is 3%
and rest 99.45% people are not infected and the inaccuracy of the test is 1%

0.03 and 0.01 are the probability of an error being made in infected and uninfected respectively.

0.01011 is the probability that a randomly chosen person gets an incorrect result.

Answer:

The required probability is 0.01011

Step-by-step explanation:

The test to detect the presence of hepatitis B is 97% accurate

Probability of presence and true = 0.97

Probability of presence and false = 0.03

The test to detect the absence of hepatitis B is 99% accurate

Probability of absence and true = 0.99

Probability of absence and false = 0.01

Probability of infected = 0.55% = 0.0055

Probability of not infected = 1 - 0.0055 = 0.9945

Probability to have an incorrect result : P(infected) and P(presence and false) + P(not infected) and P(absence and false)

= 0.0055 × 0.03 + 0.9945 × 0.01

= 0.01011

Hence, The required probability is 0.01011

Two dice are tossed together. What is the probability of getting an odd number on the second die and a total of five?1/18

11/18

7/18

4/9

Answers

Probability = (number of ways to succeed) / (total possible outcomes) .

The total possible results of rolling two dice is

(6 on the first cube) x (6 on the second one) = 36 possibilities.

How many are successful ? I need you to clarify something first.
You said that the 'second die' shows an odd number. When a pair
of dice is rolled, the problem usually doesn't distinguish between them.
And in fact, you said that they're "tossed together" (like a spinach and
arugula salad ?) so I would understand that they would lose their identity
unless they were, say, painted different colors, and we wouldn't know
which one is the second one.

Oh well, I'll just work it both ways:

First way:
Two identical dice are tossed.
The total is 5 and ONE cube shows an odd number.

How can that happen ?

1 ... 4
4 ... 1
3 ... 2
2 ... 3

Four possibilities. Probability = 4/36 = 1/9 = 11.1% .

=======================================

Second way:
A black and a white cube are tossed together.
The total is 5 and the white cube shows an odd number.

How can that happen:

B ... W
4 .... 1
2 .... 3

Only two possibilities. Probability = 2/36 = 1/18 = 5.6% .

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