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3 years ago

The product of 3/4 and 7/8 is less than 7/8?

1 answer:

7 0

0.65625 is the decimal product of the fractions 3/4 & 7/8 whereas 7/8 can be simplified to 0.875 in decimal form... comparing both the values, we see that 7/8 is greater than the product of 3/4 and 7/8.

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The quarterly returns for a group of 6161 mutual funds are well modeled by a Normal model with a mean of 6.16.1% and a standard

Shtirlitz [24]

Answer:

a) The cut off value of the highest 50% is 6.16%.

b) The cut off value of the highest 16% is 8.8%.

c) The cut off value of the lowest 2.5% is 0.7%.

d) The cut off values of the middle 68% is 3.4% for the lower bound and 8.8% for the higher bound.

Step-by-step explanation:

The 68–95–99.7 rule is an empirical rule to remember the percentage of values that lie within a band around the mean in a normal distribution with a width of two, four and six standard deviations respectively.

a) Cut off value of the highest 50%

It corresponds to the half that has the higher returns, which are the ones that are above the mean (0 standard deviation). The cut off value in this case is the mean x=6.16%.

b) Cut off value of the highest 16%

In this case, we use the 68 rule-value, which means that 68% of the values lies within a band around the mean with a width of two standard deviations.

The percentage that lies out of this band is 100%-68%=32%, of which 16% lies above the band (the highest 16%) and 16% lies below the band.

We can estimate, according to this rule, that the highest 16% are above the cutoff value X of μ+1σ:

$X=\mu+\sigma=6.1%+2.7%=8.8%$

The cut off value of the highest 16% is 8.8%.

c) Cut off of the lowest 2.5%

In this case, we use the 95 rule.

The lowest 2.5% lies below two standards deviation less of the mean

$X=\mu-2*\sigma=6.1%-2*2.7%=0.7%$

The cut off value of the lowest 2.5% is 0.7%.

d) Cut off of the middle 68%

In this case we calculate the band within one standard deviation.

$X_{low}=\mu-\sigma=6.1%-2.7%=3.4%\\\\X_{high}=\mu+\sigma=6.1%+2.7%=8.8%$

The cut off values of the middle 68% is 3.4% for the lower bound and 8.8% for the higher bound.

6 0

2 years ago

The area of Tracy's backyard is 1 1/3 acres she plants a garden that take up 1/3 of the backyard what area in acres of the garde

attashe74 [19]

Answer:

$\frac{4}{9}\ acres$

Step-by-step explanation:

step 1

we know that

The area of Tracy's backyard is $1\frac{1}{3}\ acres$

Convert to an improper fraction

$1\frac{1}{3}=\frac{3*1+1}{3}=\frac{4}{3}\ acres$

step 2

To find the area of the garden, multiply the area of the backyard by 1/3

$\frac{4}{3}(\frac{1}{3})=\frac{4}{9}\ acres$

3 0

2 years ago

How many ways can six of the letters of the word ALGORITHM be selected 8. How many ways can the letters of the word ALGORITHM be

SCORPION-xisa [38]

<h2>Answer with explanation:</h2>

The number of letters in word "ALGORITHM" = 9

The number of combinations to select r things from n things is given by :-

$C(n,r)=\dfrac{n!}{r!(n-r)!}$

Now, the number of combinations to select 6 letters from 9 letters will be :-

$C(9,8)=\dfrac{9!}{6!(9-6)!}=\dfrac{9\times8\times7\times6!}{6!\times3!}=84$

Thus , the number of ways can six of the letters of the word ALGORITHM=84

The number of ways to arrange n things in a row : $n!$

So, the number of ways can the letters of the word ALGORITHM be arranged in a be seated together in the row :-

$9!=362880$

If GOR comes together, then we consider it as one letter, then the total number of letters will be = 1+6=7

Number of ways to arrange 9 letters if "GOR" comes together :-

$7!=5040$

Thus, the number of ways to arrange 9 letters if "GOR" comes together=5040

3 0

3 years ago

Which soap deal has the lowest price per ounce?

Tom [10]

It’s 5.75 for 14 oz. It’s answer is 0.41 which is the lowest out of all of them.

7 0

2 years ago

Read 2 more answers

Please help problems below!!

kap26 [50]

Answer:

9. B 10. C 11. A 12. C

Step-by-step explanation:

Greater rate of change simply means slope! Which ever of the functions has the greatest slope (positive or negative)

a. The graph shows the line going up by 4, and across by 3, or, a slope of 4/3

b. the table is increasing by 10, so, 10/1

c. -6 = -6/1, out of all of these, we divide by the denominators and determine which number is the greatest, ignoring whether or not the value is positive or negative

a. 4/3 = 1.333333

b. 10/1 = 10

c. -6/1 = -6 (remember, ignore the sign)

In this case, B is the greatest number, therefore, it has the greatest rate of change

10.

a. -3 / 3 = -1 (ignore the negative!)

b. 2/1 = 2

c. 4/1 = 4

In this case, C, is the greatest number, meaning its rate of change is highest

11.

a. -1/3 = -0.333333 (ignore the yk what!)

b. 0.25/1 = 0.25

c. -1/5 = -0.20 (you already know)

In this case, a, is the greatest number, meaning, its rate of change is the highest

12.

a. 0/1 = 0

b. 0.5/1 = 0.5

c. 2/1 = 2

In this case, c, is the greatest number, meaning, its rate of change is the highest.

Hope this helps!! <3

7 0

3 years ago