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2 years ago

List L consists of numbers 1, square root of 2, x, and x^2 , where x>0, and the range of the numbers in list L is 4.

Mathematics

1 answer:

Step2247 [10]2 years ago

3 0

If the range of the numbers in list is 4:
x² - 1 = 4
x² = 5
x =√ 5 ≈ 2.236
x > 2
Answer: A ) x

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On sunday 1/16 people who visit were senior citizens, 3/16 were infants, 3/8 were children and 3/8 were adults, how many of each

mamaluj [8]

Answer:

Out of total people visited the zoo on Sunday , 6.25% was senior citizen , 18.75% were infants , 35% were children and 35% were adult.

Step-by-step explanation:

let total number of people visited the group = x

so number of senior citizens = x × 1/16 = x/16

Percentage of senior citizens = (number of senior citizens ÷ total number of people visited the group) × 100

= (x/16 ÷ x) × 100 = 100/16 = 6.25%

number of infants = 3/16 × x = 3x/16

Percentage of infants =(number of infants ÷ total number of people visited the group) × 100 = (3x/16 ÷ x) × 100 = 300/16 = 18.75%

number of children = 3/8 × x = 3x/8

Percentage of children =(number of children ÷ total number of people visited the group) × 100 = (3x/8 ÷ x) × 100 = 300/8 = 37.5%

number of adults = 3/8 × x = 3x/8

Percentage of adults =(number of adults ÷ total number of people visited the group) × 100 = (3x/8 ÷ x) × 100 = 300/8 = 37.5%.

Hence we can conclude that Out of total people visited the zoo on Sunday , 6.25% was senior citizen , 18.75% were infants , 35% were children and 35% were adult.

4 0

2 years ago

A firm has a revenue function that can be represented by r (x)=700x-0.35x^2, where r (x) is the total revenue (in dollars) and x

Fudgin [204]

Answer:

How many units need to be sold to produce the maximum revenue? 1000 units

How many in dollars is the maximum revenue when the maximum of units are sold? $350,000

Step-by-step explanation:

We get max value of a function if we differentiate it and set it equal to 0.

We need to differentiate r(x) and set it equal to 0 and solve for x.

That would be number of units sold to get max revenue.

Then we take that "x" value and substitute into r(x) to get the max revenue amount.

Before differentiating, we see the rules shown below:

$f(x)=ax^n\\f'(x)=n*ax^{n-1}$

Where

f'(x) is the differentiated function

Now, let's do the process:

$r (x)=700x-0.35x^2\\r(x)=700-2*0.35x\\r(x)=700-0.7x\\0=700-0.7x\\0.7x=700\\x=1000$

So, 1000 units need to be sold for max revenue

Now, substituting, we get:

$r (x)=700x-0.35x^2\\r(1000)=700(1000)-0.35(1000)^2\\r(1000)=350,000$

The max revenue amount is $350,000

5 0

2 years ago

Which fraction is equivalent to fraction with numerator 6 and denominator negative 8? fraction with numerator negative 8 and den

Rzqust [24]

Numerator is the the number above the line on a fraction, while the denominator is the number underneath the line.

$\frac{6}{-8}$ is similar to $\frac{-6}{8}$

Fraction with numerator -6 and denominator 8

8 0

2 years ago

Read 2 more answers

Jankord Jewelers permits the return of their diamond wedding rings, provided the return occurs within two weeks. Typically, 10 p

dimulka [17.4K]

Answer:

$P(X$ $0.9619$

Step-by-step explanation:

From the given information;

the probability of getting returned p = 0.1

If eight rings are sold today, what is the probability that fewer than three will be returned;

According to binomial distribution

Binomial distribution is the probability of success or failure of an outcome of an experiment under observation which is usually repeated several trials. Binomial experiments are random experiment with fixed number of repeated experiment. If we cannot predict before head, the outcome of an experiment , the experiment is called a random experiment.

So , using binomial distribution to determine the probability that fewer than three will be returned;

i.e

$P(X$ $\sum_{x=0}^{2}\binom{8}{x}(0.1)^{x}(1-0.1)^{8-x}$

$P(X$ $0.9619$

8 0

2 years ago

The arena wants to estimate the previous two month’s ticket-sale income. In total, 71,115 people attended different events at th

AveGali [126]

Hey there,
Total no. of people= 71,115
Average cost of ticket = 21.15 pounds
Total ticket income= 71,115 x 21.15
= 1,504,082.25 pounds

Hope this helps :))

~Top

7 0

2 years ago