9514 1404 393
Answer:
y = (x -7)² +9
Step-by-step explanation:
The vertex form of the quadratic equation is ...
y = a(x -h)² + k . . . . . . . . vertex (h, k); vertical scale factor 'a'
If we use a vertical scale factor of a=1, then putting the vertex (h, k) = (7, 9) into the vertex form gives ...
y = (x -7)² +9
I need help!
Can you help me please!
Answer:
Step-by-step explanation:
If you use the Puythagorean Theorem, you know that 3^2+3.75^2=X^2 (with X being the hypotenuse)
Then, you simplify and add. you should get 23.0625=X^2
After that you √ (square root) both of them and you get 4.80234318=X
Eighteen individuals are scheduled to take a driving test at a particular DMV office on a certain day, eight of whom will be taking the test for the first time. Suppose that six of these individuals are randomly assigned to a particular examiner, and let X be the number among the six who are taking the test for the first time. a. What kind of a distribution does X have (name and values of all parameters)
Answer:
X has an hypergeometric distribution, with parameters:
Size of the population is N = 18.
Size of the sample is n = 6.
Number of successes n is k = 8.
Step-by-step explanation:
The people are chosen without replacement, which means that the hypergeometric distribution is used.
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
Eighteen individuals are scheduled to take a driving test at a particular DMV office on a certain day, eight of whom will be taking the test for the first time.
This means that [tex]N = 18, k = 8[/tex]
We consider a success being a person taking the test for the first time, because X is the number among the six who are taking the test for the first time.
Suppose that six of these individuals are randomly assigned to a particular examiner.
This means that [tex]n = 6[/tex]
a. What kind of a distribution does X have (name and values of all parameters)
X has an hypergeometric distribution, with parameters:
Size of the population is N = 18.
Size of the sample is n = 6.
Number of successes n is k = 8.
Thirty eight years ago George was 14. how old is he now
Answer:
I believe you need to add 38 and 14 together to get answer of 52 years old.
Help please its math triangles..
Answer:
28
Step-by-step explanation:
Add the top and bottom bases, divide by 2, multiply by height.
pls answer any that you can!!!
Answer:
12, 45, 1.8, -9, 18
Step-by-step explanation:
up up down down left right left right b a start
Find the slope of the line that passes through (1, 11) and (9, 10).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
i think it would be negative. -1/8
A store sold 14 more colored shirts than white shirts. The white shirts cost $9.95 and colors cost $10.50. If a total of $310.60 were sold, how many of each type were sold?
9514 1404 393
Answer:
8 white shirts22 colored shirtsStep-by-step explanation:
Let c represent the number of colored shirts sold. Then c-14 is the number of white shirts sold. The total revenue is ...
10.50c +9.95(c -14) = 310.60
20.45c -139.30 = 310.60 . . . . . . simplify
20.45c = 449.90 . . . . . . . . . . add 139.30
c = 22 . . . . . . . . . . . . . . . . . divide by 20.45
c-14 = 8
22 colored shirts and 8 white shirts were sold.
Find the volume of the figure
Answer:
66 ft³
Step-by-step explanation:
The figure can be divided into a cuboid and a triangular prism.
Volume of the cuboid = l × w × h
Where l = 6ft, w = 3 ft and h = 2 ft
Volume = 6 × 3 × 2 = 36 ft³
Volume of the triangular prism = Cross sectional area × Width
Where Cross sectional area = 0.5 × 10 ft × 2 ft and Width = 3 ft
Volume = 10 × 3 = 30 ft³
Total volume = Volume of the cuboid + Volume of the triangular prism
∴ Volume of the figure = 66 ft³
I WILL GIVE BRAINLIEST!! :>
A baker uses 2/7 of a bag of sugar for every batch of cookies. The baker used 4 2/7 bags of sugar yesterday. How many batches of cookies did the baker make?
Answer:
15
4 2/7= 30/7
30/7 times 7/2= 15
Solve the inequality. y - 28 > 53
y > 28
y > 53
y > 81
y > 25
Answer:
y > 81
Step-by-step explanation:
82 - 28 = 54
So, 54 > 53
(I don't know how to explain this properly but this is the answer)
help me plz with that
Cody's Seafood House purchases
shrimp for $5.00 per pound. If the
shrimp is marked up 65% how much,
will guests pay for 2 pounds of
shrimp ?
Answer:
Try this
Step-by-step explanation:
So what you have to do is turn 65% into a decimal. 65% as a decimal is 0.65.
Then what you want to do is divide 5.00 and 0.65 and see what you get.
Please answer right I will reward with brainalist + 10 points
Answer:
Complementary angles
Step-by-step explanation: Two angles that = 90 degrees is the definition or complementary. Supplementary is 180 degrees. Vertical is just a straight angle. The reason why it isn't a right angle is because a right angle is one individual angle not 2 or more equaling 90 degrees.
Tennis practice last for 1 hour and 35 minutes
Answer:
Where's the rest of this question??
Can someone help me? =)
the length of a rectangle is 6 feet longer than its width the perimeter is less than 48 feet write a mathematical expression for the width of the rectangle
18 ÷ {[(7 × 2) − (26 ÷ 2)] + 1} =
Answer:
9
Step-by-step explanation:
18 ÷ {[(14) - (13)] + 1}
18 ÷ {1+1} =
18 ÷ 2 = 9
Hope that helps!
Find the exact value of tan 67.5° trig
Answer: 1 + [tex]\sqrt{x} 2[/tex]
Pls answer a and b I will give brainliest answer
Answer:
a. True, b. y = (-1/2)x + 8
Step-by-step explanation:
Because the graph is a straight line, that means that the graph is in fact proportional. For the equation, take the form y = mx+b. Plug in the slope, which is -1/2, and the y-intercept, which is 8, which would give you the equation y = (-1/2)x + 8.
Answer:
1) not proportional - not starting from origin
2) (2,8) - i did it in coordinates
have a great day
0.2 as a fraction (out of 100)
Solve: x + 6 = -11
May I please have help with this?!
Answer:
x=-17
Step-by-step explanation:
subtract 6 from each side and simplify and you'll get -17
Jared bakes 2 apple pies he cuts the 2 pies into pieces each pieces is 1\8 of a pie
So out of the 2 pies there would be 16 pieces
Answer:
there is 16 pieces
Step-by-step explanation:
Suppose you know that 10% of 250 is 25. How could you use
that information to find 30% of 250?
Answer:
triple the answer
Step-by-step explanation:
.1×250=25
.3×250= 75
25×3=75
There were 208 sixth graders who attended the school dance. If this was 65% of the whole 6th grade, how many 6th graders are there?
Answer:
320
Step-by-step explanation:
x = y/%
x = 208/65%
65% = 0.65
x = 208/0.65
x = 320
In 2020, you purchase a car for $8000. The value of the car depreciates by 4% each year. What will the approximate value of the car be in 2027? *
Answer:
Step-by-step explanation:
Insert one term between -13 and -119 to create an arithmetic sequence of three terms.
Answer:
-66
Step-by-step explanation:
- 13, ____, -119
first, find the common difference:
-13 - (-119) = 106
next, divide 106 by 2: [tex]\frac{106}{2}[/tex] = 53
so, the common difference is 53.
now, subtract 53 from -13:
-13 - 53 = -66
Answer:
-66
Step-by-step explanation:
the sequence goes -13,-66,-119
just subtract with 53
(decreasing arithmetic sequence)
one number is 2 more than another. the difference between their square is 36. what are the numbers
Find anequation of the line containing (3,-4) and having slope -2. If this line
contains the points (2,8) and (5.b), find a and b.
Answer:
A linear equation can be written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
If we want to have a slope equal to -2, then our line will be something like:
y = -2*x + b
Now, we also want this line to pass through the point (3, -4)
This means that when x = 3, we must have y = -4
Then:
-4 = -2*(3) + b
-4 = -6 + b
-4 + 6 = b
2 = b
Then our line is:
y = -2*x + 2
Now, the second part says that:
If this line contains the points (2,8) and (5.b), find a and b.
This is incorrectly written because this line clearly does not contain the point (2, 8), so i guess the actual problem is something like:
If this line contains the points (a,8) and (5.b), find a and b.
If the line contains the point (a, 8), this means that when y = 8, we must have x = a.
Then:
8 = -2*a + 2
8 - 2 = -2*a
6 = -2*a
6/-2 = -3 = a
a = -3
Similar reasoing for the other point, if the line contains the point (5, b), this means that when x = 5, we have y = b.
Then:
b = -2*5 + 2 = -10 + 2
b = -8
Ms. Jenkins stocks a pond with fish. For every 6 bluegill fish, she puts in 1 rock bass fish. Does this ratio mean that Ms. Jenkins puts 6 bluegill fish into the pond? Explain your reasoning.
Answer:
Ms. Jenkins puts for every 6 bluegill fish one rock bass fish so she puts the number multiple of 7
Which expression is equivalent to -1/3(6x + 15) - 3?
Answer:
6-x=0
Step-by-step explanation:
-2x+12=0(divide by 2)
6-x=0
Answer:
D is the answer
-2x-8
Step-by-step explanation:
I hope this helps! ^^