7, 11, 2, 18, -7, __ find the missing pattern.

The student council is selling cookies.They buy the cookies from the store for .55 cents each.They sell the cookies for $1 each.

aleksley [76]

Answer:

The percentage of the markup is 82%

Step-by-step explanation:

In this question, we are asked to calculate the percentage of mark up. This is simply calculating the percentage of the profit margin.

firstly to be able to calculate this percentage, we need to know the value of the profit margin itself.

mathematically, the profit margin is selling price - cost price

From the question, the selling price is $1 while the cost price is 55 cents

The profit margin is thus $1 - 55 cents = 45 cents

We now proceed to calculate the percentage profit

mathematically, that is profit/cost price * 100%

That would be 45 cents/55 cents * 100 = 9/11 * 100% = 81.8 approximately 82%

7 0

2 years ago

I REALLY NEED HELP, PLEASE HELP !! WORTH 30 POINTS !!

valina [46]

Answer:

2/9

Step-by-step explanation:

y=6(3)^x

Let x =-3

y = 6 * 3^-3

Remember negative exponents move it from the numerator to the denominator

y = 6 *1/3^3

y = 6 * 1/27

y = 6/27

y = 2/9

8 0

3 years ago

A pharmacist wants to make 36ml of a 65% hydrogen peroxide solution. how many pls of 75% hydrogen peroxide must he mix with 57%

faltersainse [42]

Answer:

16 mls of the 75% solution and 20 mls of the 0.57% solution.

Step-by-step explanation:

Set up a system of equations:

Let x = volume of 75% solution and y be volume of 57% solution

0.75x + 0.57y = 36*0.65

0.75x + 0.57y = 23.4.......(1)

x + y = 36.........(2)

From equation (2):

y = 36 - x

Substituting this into equation(1):

0.75x + (0.57(36 - x) = 23.4

0.75x + 20.52 - 0.57x = 23.4

0.18x = 23.40 - 20.52 = 2.88

x = 2.88/0.18

x = 16

so from equation (2): y = 36-16 = 20.

8 0

2 years ago

WhiThree-fifths of the members of the Spanish club are girls. There are a total of 30 girls in the Spanish club.

vesna_86 [32]

Answer:

The total members in the Spanish Club = 50

Step-by-step explanation:

Let the total members in the Spanish Club = x

Now, number of girls in the club = 30

Three-fifths of the members are girls.

⇒ $(\frac{3}{5} )$ of total members x = 30

or, $(\frac{3}{5}) \times x = 30\\$

Now, solving for x, we get:

$x = 30 \times\frac{5}{3} = 50$

or, x = 50

Hence,the total members in the Spanish Club = 50

7 0

2 years ago

The number of "destination weddings" has skyrocketed in recent years. For example, many couples are opting to have their wedding

melamori03 [73]

Answer:

We conclude that the mean wedding cost is less than $30,000 as advertised.

Step-by-step explanation:

We are given the following data set:(in thousands)

29100, 28500, 28800, 29400, 29800, 29800, 30100, 30600

Formula:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{236100}{8} = 29512.5$

Sum of squares of differences = 3408750

$S.D = \sqrt{\frac{3408750}{7}} = 697.82$

Population mean, μ = $30,000

Sample mean, $\bar{x}$ = $29512.5

Sample size, n = 8

Alpha, α = 0.05

Sample standard deviation, s = $ 697.82

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 30000\text{ dollars}\\H_A: \mu < 30000\text{ dollars}$ We use one-tailed t test to perform this hypothesis.

Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{29512.5 - 30000}{\frac{697.82}{\sqrt{8}} } = -1.975$

Now,

$t_{critical} \text{ at 0.05 level of significance, 7 degree of freedom } = -1.894$

Since,

$t_{stat} < t_{critical}$

We fail to accept the null hypothesis and reject it.

We conclude that the mean wedding cost is less than $30,000 as advertised.

8 0

3 years ago