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2 years ago

Explain how to find the product of 3/8 x 7/9 .Use complete sentences in your answer.

Mathematics

1 answer:

saw5 [17]2 years ago

7 0

Answer:

When multiplying fractions together, you multiply the numerators togethers and the denominators together, unlike adding fractions together. To find this answer, you'd do 3 × 7 (for the numerator) and 8 × 9 (for the denominator), and then write the fraction (the answer) using your answers above.

I hope this helps!

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Consider the following discrete probability distribution. x 15 22 34 40 P(X = x) 0.14 0.40 0.26 0.20 a. Is this a valid probabil

saul85 [17]

Answer:

(a) Yes, because the probabilities add up to 1.

(b) The probability that X < 40 is 0.80.

Step-by-step explanation:

The probability distribution of the random variable X is:

x: 15 | 22 | 34 | 40

f (x): 0.14 | 0.40 | 0.26 | 0.20

(a)

The properties of a probability distribution are:

0 ≤ f (x) ≤ 1
∑ f (x) = 1

All the probability value are more than 0 and less than 1.

Compute the sum of all the probabilities as follows:

$\sum f(X)=0.14+0.40+0.26+0.20=1$

The sum of all probabilities is 1.

Thus, the probability distribution is valid.

(b)

Consider the probability distribution table.

Compute the probability of X < 30 as follows:

P (X < 40) = P (X = 15) + P (X = 22) + P (X = 34)

$=0.14+0.40+0.26\\=0.80$

Thus, the probability that X < 40 is 0.80.

8 0

2 years ago

A Mallard duck flies 5 6 of a mile in 1 60 of a hour. Compute the unit rate by setting up a complex fraction and simplifying.

seropon [69]

Important: Please express fractions properly: use the " / " symbol to represent division. Your question should read:

"A Mallard duck flies 5/6 of a mile in 1/60 of a hour. Find the rate (speed) at which it flies."

To do this, divide the distance flown by the elapsed time:
5
5/6 mile -----
----------------- = -------6------------- miles / hr
1/60 hour 
1
-----
60

to divide 5/6 by 1/60, write 5/6 and multiply that by the reciprocal of 1/60.

In other words, write 5/6, invert (1/60) and then multiply.

This comes out to (5)(60)
---------- mph
(6)(1)

Do not multiply here. Instead, reduce 60/6 to 10/1.

Can you now write out the final answer, in mph? (miles per hour)

8 0

2 years ago

Read 2 more answers

Find the derivative of the vector function r(t)=ta×(b+tc), where a=⟨2,−3,4⟩, b=⟨−4,5,−1⟩, and c=⟨−2,−1,5⟩.

NikAS [45]

Answer:

derivative of the vector function given = ( -16-22t, 14-36t, -2-16t )

Step-by-step explanation:

given data:

vector function : r(t) = ta*(b+tc)

a = ( 2,-3.4) . b = (-4,5,-1). c = ( -2,-1,5)

to find the derivative of the vector function we will differentiate with respect to x attached below is the detailed solution

7 0

2 years ago

We are told that the two players, taken together, scored a total of 49 points. What is the probability that player A scored firs

mario62 [17]

Answer:

1/2 or 50% probability

Step-by-step explanation:

There are just two players, player A and player B. Since it is between this two players, for player A to score first we would have:

AB where player A is the first player to score, we wouldn't have BA since player would not be the first here

Probability = number of favorable outcomes/total number of outcomes

Therefore probability of A being the first player = number of A/total number of players

=1/2 = 0.50

There is therefore a 50% chance of A being the first player

7 0

1 year ago

Which two statements are missing in steps 3 and 4?

Snezhnost [94]

Answer:

∠B ≅ ∠Y △ABC ~ △ZYX by the SAS similarity theorem.

Step-by-step explanation:

1. $AB=6$ units

$YZ=3$ units

$BC=8$ units

$XY=4$ units, then

$\dfrac{AB}{ZY}=\dfrac{BC}{YX}=2$

2. $\angle B$ and $\angle Y$ are right angles - given

3. $\angle B\cong \angle Y$ two right angles are always congruent.

4. $\triangle ABC\sim \triangle ZYX$ by SAS similarity theorem.

SAS Similarity Theorem states that if two sides in one triangle are proportional to two sides in another triangle and the included angle in both are congruent, then the two triangles are similar.

4 0

2 years ago

Read 2 more answers