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3 years ago

Find f(5) for f (x)=1/4 (2)^x

Mathematics

2 answers:

Ber [7]3 years ago

7 0

F(5) = 1/4(2)^5
f(5) = 1/4 (32)
f(5) = 8

answer
A. 8

joja [24]3 years ago

6 0

Your function is f(x)=1/4(2)^x

f(5)=1/4 (2)^5 Apply the exponent to the value inside the parentheses

f(5)=1/4 x 32 Multiply 1/4 and 32

f(5)= 8

Your answer is A. 8

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Wo cards are drawn without replacement from standard deck of 52 cards. What is the probability that the first card is a club and

iren2701 [21]

Answer:

"13 / 204 ; No, they are dependent events "

Step-by-step explanation:

The probability of getting a club at first throw is simply total number of clubs divided by total number of cards in the deck.

Total clubs is 13

Total cards in deck is 52

Hence, P(clubs) = $\frac{13}{52}$

Since the first card IS NOT replaced, the deck has now 51 cards. We want probability of diamond. There are still 13 diamonds, so probability of diamond now would be 13/51

Hence, Probability that first card is a club and the second card is a diamond should be 13/52 MULTIPLIED by 13/51

P(1st Club, 2nd Diamond) = $\frac{13}{52}*\frac{13}{51}=\frac{13}{204}$

Note: They are dependent events since we are calculating probability without replacement. The first draw affected the total number of cards in the 2nd draw.

2nd answer choice is right.

8 0

3 years ago

Find the surface area of a square pyramid with base edges of 5 cm and a slant height of 3 cm.

ch4aika [34]

Answer:

Surface area of square pyramid = $55cm^{2}$

Step-by-step explanation:

Let, b is the base edges and s is the slant height

According to given condition:

b = 5 cm

s = 3 cm

Find out:

Surface area of square pyramid = ?

Formula:

Surface area of square pyramid = $b^{2} + 2bs$

Solution:

Surface area of square pyramid = $b^{2} + 2bs$

Surface area of square pyramid = $5^{2} + 2(5)(3)$

Surface area of square pyramid = $(25+ 30 ) cm^{2}$

Surface area of square pyramid = $55cm^{2}$

3 0

3 years ago

17. When a single set of values is randomly divided into two equal groups, explain how the means of these two groups may be very

joja [24]

If you take 2 groups of equal cardinality, it could happen that, for example, many of the higher values go to the first group and therefore, many of the low values go to the second group, making their respective means quite different and different from the original sample mean. This could even go worse due to the possible existence of outliers, that is, values that are far different than the sample mean. An outlier tend to disrup the mean of a sample, but for smaller samples the result is much dramatic.

For example, let X be {1,2,3,4,5,6,7,8,9,100}

The elements of X sum 145, hence the mean of X is 14,5. Let divide X in two groups

Y = {1,2,3,5,9}

Z = {4,6,7,8,100}

The elements of Y sum 20, so its mean is 4

The elements of Z sum 125, so its mean is 25

Both means are quite different from each other and quite different from the mean of X. Note that if we take the mean of the means the result is 4+25/2 = 14,5 which is equal to the mean of X.

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3 years ago

25. In the year 2016, the population of Johns Creek was 124,000. Statistics show that the population is

Aliun [14]

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3 years ago

Read 2 more answers

Kyle held a balloon 8 feet off the ground, straight above his head. Ava is standing 15 feet directly to the right of Kyle.

Mazyrski [523]

Complete Question:

Kyle held a balloon 8 feet off the ground, straight above his head. Ava is standing 15 feet directly to the right of Kyle.