MATHEMATICS COLLEGE

A restaurant wants to study how well its salads sell. The circle graph shows the sales over the past few days. If 35 of the salads sold were Caesar salads, how many total salads did the restaurant sell?

Answers

Answer 1

Answer:

Step-by-step explanation:

From the circle graph :

Salad sold :

Caesar = 70%

Garden = 16%

Taco = 14%

If 35 of the salad sold were Caesar ;

Then ; this means

70% = 35

Total salad sold %= (70+16+14)% = 100%

Let total sales = x

70% = 35

100% = x

Cross multiply :

70% * x = 100% * 35

0.7x = 35

x = 35 / 0.7

x = 50

∫ $(v^2+1)/((v^2-1)v)dv$ = ∫ $(-1)/(x)dx$

u=v^2

du=2vdv

Left hand side:

∫ $(v^2+1)/(v(v^2-1))dv$

=∫ $(u+1)/(2u(u-1))du$

= $(1)/(2)$ ∫ $((2)/(u-1) -(1)/(u) )du$

= $ln(u-1)-(ln(u))/(2) +c$

= $ln(v^2-1)-(ln(v^2))/(2)+c$

Right hand side:

$=-ln(x)$

Solve for v:

$v=-\frac{-c_(1)+\sqrt{c_(2)+4x^2 } }{2x} \ or \ \frac{-c_(1)+\sqrt{c_(2)+4x^2 } }{2x}\n$

$y=(-1)/(2) \sqrt[]{4x^2+4c_(1)^2} -c_(1)\ or \ (1)/(2) \sqrt[]{4x^2+4c_(1)^2} -c_(1)$

Drag numbers to use a negative factor to factor the expression-5g+15h-25

Answers

Answer: -5g + 15h - 25 = -5 × (g - h + 5)

Step-by-step explanation:

Step-by-step explanation:

first we do this -5g = -5 × g

then 15h = 5 × 3h

so, -25 = -5 × 5

when -5g + 15h - 25 = -5 × g - (-5 × 3h) + (-5 × 5)

the answer is = -5 × (g - h + 5)

According to the Factors of a Negative Number

First The factors of a number entail all of the numbers that can be multiplied by one another to produce that many numbers.

According to The laws of multiplication that the state when a negative number is multiplied by a positive number then also the product will be negative.

Although when the Factors are those numbers. when it is multiplied with together then the result is another number, which is known as a product.

To convert 10 minutes to seconds, you would use the ratio. 1 seconds/ 60 minsA. True B. False

Answers

Answer:

B. False

Step-by-step explanation:

1 minute/60 seconds

Therefore, the answer is B. False.

Hope this will helpful.

Thank you.

It's false, because the ratio is 60 sec/ 1 min

Zinfandel is a popular red wine varietal produced almost exclusively in California. It is rather controversial among wine connoisseurs because its alcohol content varies quite substantially from one producer to another. In May 2013, the author went to a certain website, randomly selected 10 zinfandels from among the 325 available, and obtained the following values of alcohol content (%). 14.9 14.5 16.2 14.3 15.9
13.7 16.2 14.6 13.9 15.1
A. Calculate the interpret several measures of center.
B. Calculate the sample variance using the defining formula.

Answers

Answer:

Kindly check explanation

B) 0.829

Step-by-step explanation:

Given the data :

% Alcohol content of 10 zindafel wine

14.9 14.5 16.2 14.3 15.9

13.7 16.2 14.6 13.9 15.1

Sorted value : 13.7, 13.9, 14.3, 14.5, 14.6, 14.9, 15.1, 15.9, 16.2, 16.2

Range = maximum - minimum

Range = 16.1 - 13.7

n = number of samples = 10

Median = 1/4(n + 1)th term

Median = 1/4(10+1)th term = 11/4 = 2.75 th term

(14.3 + 14.5) / 2 = 28.8 /2 = 14.40

Mode = 16. 2 ( most occurring observation)

Mean(m) = (13.7 + 13.9 + 14.3 + 14.5 + 14.6 + 14.9 + 15.1 + 15.9 + 16.2 + 16.2) / 10

= 149.3 / 10

= 14.93

Determine whether the following sequence converges or diverges and describe whether it does do so monotonically or by oscillation. Give the limit when the sequence converges. {(-1.00000005)^n}

Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

a. The sequence diverges by oscillation.
b. The sequence converges monotonically. It converges to:________
c. The sequence converges by oscillation. It converges to:________
d. The sequence diverges monotonic ally.

Answers

Answer:

Step-by-step explanation:

(-1.00000005)^n

as n becomes very large, the function increases in both positive and negative direction.

If n=1, -1.00000005

if n=2, 1.0000001

if n= 3, -1.00000015

if n=20, 1.000001

if n=21, -1.00000105

A coin is flipped three times. James is declared the winner if there are at least two tails. Peter is declared the winner if there is a head flipped.a. How many different outcomes are there?
b. What is the probability that James wins?
c. What is the probability that Peter wins?
d. Is the game fair?
e. Are there any outcomes where the game would be tied?
f. Are there any outcomes where no one would win?