1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Elena-2011 [213]
3 years ago
7

At their​ family's pizzeria, Dave makes 6 pizzas in the first hour it is open and 3 pizzas each hour after that. Lauren makes 11

pizzas in the first hour and 3 pizzas each hour after that. If the pizzeria is open for 6​ hours, how many pizzas will they make in​ all?
Mathematics
1 answer:
Nady [450]3 years ago
3 0

Answer:

47 pizzas

Step-by-step explanation:

Dave makes 6 pizzas in the first hour it is open and 3 pizzas each hour after that.

If the number of hours after the first hour  is represented as x, then the number of pizzas he makes after x hours is:

6 + 3x

Lauren makes 11 pizzas in the first hour and 3 pizzas each hour after that. Then:

11 + 3x

The pizzeria is open for 6 hours in all, that is, 5 hours after the first hour.

This means that:

x = 5

The total amount of pizzas that Dave and Lauren make is:

6 + 3x + 11 + 3x

=> 17 + 6x

Therefore, the total amount of pizza they make 5 hours after the first hour is:

17 + 6(5) = 17 + 30 = 47 pizzas

You might be interested in
Tina rolls two fair number cubes numbered from 1 to 6. She first defines the sample space as shown below:
alukav5142 [94]
There are 36 combinations, 5 combinations equal 8


(2,6) (3,5) (4,4) (5,3) (6,2) all equal 8

The chance of rolling 8 is 5/36 (combinations that equal 8/total combinations)
5/36=.13888...
5 0
3 years ago
An SRS of 350 high school seniors gained an average of x¯=21 points in their second attempt at the SAT Mathematics exam. Assume
Lynna [10]

Answer:

a) 21-2.58\frac{52}{\sqrt{350}}=13.83  

21+2.58\frac{52}{\sqrt{350}}=28.17  

So on this case the 99% confidence interval would be given by (13.83;28.17)  

b) ME=2.58\frac{52}{\sqrt{350}}=7.17

c) ME=2.58\frac{52}{\sqrt{100}}=13.42

d) D. Decreasing the sample size increases the margin of error, provided the confidence level and population standard deviation remain the same.

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

Part a

\bar X=21 represent the sample mean  

\mu population mean (variable of interest)  

\sigma=52 represent the population standard deviation  

n=350 represent the sample size  

99% confidence interval  

The confidence interval for the mean is given by the following formula:  

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}} (1)  

Since the Confidence is 0.99 or 99%, the value of \alpha=0.01 and \alpha/2 =0.005, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.005,0,1)".And we see that z_{\alpha/2}=2.58  

Now we have everything in order to replace into formula (1):  

21-2.58\frac{52}{\sqrt{350}}=13.83  

21+2.58\frac{52}{\sqrt{350}}=28.17  

So on this case the 99% confidence interval would be given by (13.83;28.17)  

Part b

The margin of error is given by:

ME=2.58\frac{52}{\sqrt{350}}=7.17

Part c

The margin of error is given by:

ME=2.58\frac{52}{\sqrt{100}}=13.42

Part d

As we can see when we reduce the sample size we increase the margin of error so the best option for this case is:

D. Decreasing the sample size increases the margin of error, provided the confidence level and population standard deviation remain the same.

6 0
2 years ago
Find the slope and y-intrcept of <br><br>y=5/3x -4 ​
natima [27]

Answer:

Slope: 5/3

y-intercept: (0, -4)

Step-by-step explanation:

Slope-Intercept Formula: y = mx + b

<em>y</em> is your output.

<em>m</em> is your slope.

<em>b</em> is your y-intercept.

7 0
3 years ago
a bird flies from the bottom of a canyon that is 81.8 feet below sea level to a nest that is 596 3/5 feet above sea level. what
ELEN [110]
Subtract.

596 3/5 - (-81.8)            [81.8 is below sea level so it is negative]
566.6 + 81.8                  [Convert to decimal and distribute negative]
= 678.4 feet
6 0
3 years ago
In the diagram shown, chords AB and CD intersect at E. The measure of (AC) ̂ is 120°, the measure of (DB) ̂ is (2x)° and the mea
Mars2501 [29]

Answer:

The measure of angle < AED is 100\°

Step-by-step explanation:

we know that

The measure of the interior angle is the semi-sum of the arcs comprising it and its opposite.

so

m

substitute the values and solve for x

4x=\frac{1}{2}(120\°+2x)

8x=(120\°+2x)

8x-2x=120\°

6x=120\°

x=20\°

m

m -----> by supplementary angles

substitute value

80\°+m

m

4 0
3 years ago
Other questions:
  • Jackson has a credit card with a 15% interest rate. His dad has a credit card with a 5% interest rate. If they both charge $1,00
    10·2 answers
  • Three cards are drawn from a standard deck of 52 playing cards. Recall that there are 4 suits with 13 cards each. After each car
    11·1 answer
  • $5 for 4 pounds of apples
    5·1 answer
  • Write the equation of the line that is parallel to the graph of y=-4x-9 and whose y intercept is 3
    9·1 answer
  • Is 7.6 repeating greater or less than square root 55
    13·2 answers
  • The volume of a cube is 27 cubic inches. Which expression represents s, the length of a side of the cube?
    13·2 answers
  • The population f(x), in millions, of State A of a country after x years is represented by the function shown below:
    9·1 answer
  • Domain and Range Digital Escape Room!
    13·1 answer
  • Name the slope and y-intercept of the graph of 3x - 2y = 18 A. B. 2 3 -6 6 C. -3.-9 D. 2 -9​
    12·1 answer
  • The graph below shows the solution to which system of inequalities?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!