The data in the stem-and-leaf plot (from least to greatest for easier organization) is:
75, 75, 84, 87, 96
(Stem and leaf plots are read from left to right, like tens place and then you add the number on the right to it. That is the one's place number.)
Number 1 asks for the median, and in this case, it has to be 85% or higher for you to answer "yes".
The median from this data set is the number "84".
Therefore, your answer will be "No."
Number 2 asks for the score that he should have on his last exam. That answer will be determined by doing as follows:
75+75+84+87+96+x (undetermined last quiz that we are finding.)
-------------------------- = 85 (the average that should be found.)
6
Now, in the start of this system or equation, you don't divide all of the numbers by 6. You add the numbers together (the numerator) and that should leave you with:
417+x = 85
---------
6
With this, you still won't divide in the fraction by 6. You'll multiply the denominator by 6 to cancel the denominator to make the equation easier to solve.
That will leave you with 417+x = 85.
Then, multiply the 85 by 6, since you did it to the denominator. That will give you 510.
Your equation should now be 417+x=510.
To solve, simply subtract 510-417, and you should get 93.
For number 2, your final answer should be a score of 93 to get 85 as an average.
The last answer would be set up like 75+75+84+87+96+90
------------------------------- = (the mean)
6
That is 84.5.
That means that he wont be reimbursed.
His average is 84.5.
If you need to, then round to the nearest tenth.
Hope I could help you ;)
Answer:
5.1 cm² approximately
Step-by-step explanation:
A lighter= Area inscribed -1/2r² sin80°
A lighter=π r² (80°/360°) -1/2(5 cm)² sin 80°
A lighter=π(5cm)² (80°/360°) -1/2(5 cm)² sin 80°
A lighter=3.14*25cm²(80°/360°) - 12.5cm² sin 80°
A lighter=17.444…cm² - 12.31009... cm²
A lighter=5.13cm² approximately
Answer:
(1, -3)
First option
Step-by-step explanation:
The minimum point on the graph is also the <u>vertex</u>.
The quadratic function equation is given in <u>vertex form</u>, which is 
Using this equation, the vertex is (-h, k).
Whatever number you see for "h", find its opposite negative/positive. That will be the x-coordinate of the vertex. The y-coordinate for the vertex is the same as "k", keeping the negative and positive.
In f(x) = (x - 1)² - 3 using (-h, k) is:
h = -1 => -h = 1
k = -3
Therefore the vertex is (1, -3).
Answer:
a. x>
23
/3
b: x<
13/5
Step-by-step explanation:
A: Step 1: Subtract x from both sides.
4x−15−x>x+8−x
3x−15>8
Step 2: Add 15 to both sides.
3x−15+15>8+15
3x>23
Step 3: Divide both sides by 3.
<u>x>
23/3</u>
B: Step 1: Subtract 7x from both sides.
2x+13−7x>7x−7x
−5x+13>0
Step 2: Subtract 13 from both sides.
−5x+13−13>0−13
−5x>−13
Step 3: Divide both sides by -5.
Answer: x<
13/5
Answer: a:b:c:d = 16:24:30:40
You can also divide the ratio by 2 because all terms have 2 in common. Which would be a:b:c:d = 8:12:15:20
