Answer:
x = 1
Step-by-step explanation:
The line of symmetry is defined as the x value of the vertex of a parabola.
To find the vertex of a parabola, we need to convert to vertex form.
Vertex form looks like this:
[tex]y=a(x-h)^2+k[/tex], where -h is the x value of the vertex and k is the y value of the vertex.
H is also defined as [tex]\frac{-b}{2a}[/tex] where a is the coefficient of x squared and b is the coefficient of the x term.
The coefficient of the x squared term is 1 and the coefficient of b is -2.
Plugging in, we get [tex]\frac{-(-2)}{2(1)}[/tex], which is equal to 1. This can then be plugged into the equation as
[tex]y=1(x-1)^2+k[/tex], but k doesn't matter because all we need is the x-term. Now, our x-term is negative h, which is negative negative one, which is positive one. Therefore, our answer is x = 1.
Answer:
x = 1
Step-by-step explanation:
Was the equation actually
f(x) = x² - 2x - 3
--------------------------
the line of symmetry occurs at the midpoint of the roots
factor
(x + 1)(x - 3)
x = { -1, 3}
midpoint of roots
x = (-1 + 3)/2
x = 1
line of symmetry
x = 1
 A 20-sided die is rolled.
A) Find the probability that the die shows a number greater than 15.
B) Find the probability that the die shows an even number.
C) Find the probability that the die shows a number that is not 5, 6, 7, or 8.
D) Find the probability that the die shows a number that is Prime.
Answer:
A) .25 or 25% or 1/4
B) .50 or 50% or 1/2
C) .55 or 55% or 11/20
D) .4 or 40% or 2/5
Please help on these math problems and I will give brainliest and 45 points
Answer:
1. 24 laps on day 4
2. ___
3. 67
4. 10 Adults
5. 32
6. 18 people served
7. 5(x+9)
8. 50
9. 39
10. 15
11. 25
12. 2 x 5 x 5
13. GCF: 6 .... LCM: 180
14. ___
15. ___
16. x=49
17. m=10
18. r=27
19. 23
20. 72% < 7/8
Consider rolling dice and getting a total of 8. Find the probability if two dice are rolled. (Enter the value of probability in decimals. Round the answer to three decimal places.) (You must provide an answer before moving to the next part.)
Answer:
[tex]Pr = \frac{2}{9}[/tex]
Step-by-step explanation:
Given
A roll of two dice
Required
Probability of getting a sum of 8
First, we list out the sample space
[tex]S =\{(1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6),(2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6), (3, 1) (3, 2) (3, 3)[/tex][tex](3, 4) (3, 5) (3, 6), (4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6),(5, 1) (5, 2) (5, 3) ,(5, 4) ,(5, 5) ,(5, 6),[/tex]
[tex](6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6)\}[/tex]
The total is:
[tex]n(S) = 36[/tex]
From the sample space, the outcomes that give a sum of 8 are:
[tex]Sum =\{(2, 6), (3, 5),(4,4),(5,3),(6,2)\}[/tex]
The total is:
[tex]n(Sum) = 8[/tex]
So, the probability is:
[tex]Pr = \frac{n(Sum)}{n(S)}[/tex]
[tex]Pr = \frac{8}{36}[/tex]
[tex]Pr = \frac{2}{9}[/tex]
A particle moves along the x-axis with the given acceleration function a(t) = 8t - 6, initial position s(0) = 2, and initial velocity v(0). Find the position function.
Answer:
[tex]s(t) = \frac{4t^3}{3} - 3t^2 + v(0)t + 2[/tex]
Step-by-step explanation:
Relation between acceleration, velocity and position:
The velocity function is the integral of the acceleration function.
The position function is the integral of the velocity function.
Acceleration:
As given by the problem, the acceleration function is:
[tex]a(t) = 8t - 6[/tex]
Velocity:
[tex]v(t) = \int a(t) dt = \int (8t - 6) dt = \frac{8t^2}{2} - 6t + K = 4t^2 - 6t + K[/tex]
In which the constant of integration K is the initial velocity, which is v(0). So
[tex]v(t) = 4t^2 - 6t + v(0)[/tex]
Position:
[tex]s(t) = \int v(t) dt = \int (4t^2 - 6t + v(0)) dt = \frac{4t^3}{3} - \frac{6t^2}{2} + v(0)t + K = \frac{4t^3}{3} - 3t^2 + v(0)t + K[/tex]
The initial position is s(0) = 2. So
[tex]s(t) = \frac{4t^3}{3} - 3t^2 + v(0)t + 2[/tex]
Which shows the use of the associative property?
A. 7n + 1/5 = 1/5 + 7n
B. 7 + (1/5 + n) = (7 + 1/5) + n
C. 7(n + 1/5) = 7n + 5/7
D. (7 + 1/5) +n = 7 1/5 + n
Edugenity 2021
Common Core math
Answer:
B shows the associative property
In order to obtain a linear relationship between predictor and response variable, you had to transform the response variable (Y) using a natural log transformation. After running the regression your estimate of the slope is 0.30011. Because you transformed the response variable the slope is no longer the change in Y, measured in the original units, per unit change in the predictor X. Using a simple mathematical expression you can still interpret the slope. Following the expression used in the lecture, the correct interpretation is now that this is a ___________change in Y per unit change in X. And the value of this change is __________
Answer:
Estimated average
0.30011
Step-by-step explanation:
Estimate of slope = 0.30011
Given that the transformed response variable possess a slope that is no longer the change in Y
The correct interpretation is now that this is an estimated average change in Y per unit change in X. And the value of this change is 0.30011
Nora can do 70 push-ups in 2 minutes.
Luke can do 105 push-ups in 3 minutes. Do
these rates from a proportion? Explain.
Answer:
They can both do 35 push-ups per minute, with an equal ratio between them.
Step-by-step explanation:
Given that Nora can do 70 push-ups in 2 minutes, and Luke can do 105 push-ups in 3 minutes, to determine if these rates from a proportion the following calculation should be performed:
70/2 = X
35 = X
105/3 = X
35 = X
Therefore, they can both do 35 push-ups per minute, with an equal ratio between them.
Wavelength and Frequency
A chord consists of notes that sound good together. the C major chord, starting at middle C, has the following frequencies:
C - 262 Hz
E - 330 Hz
G - 392 Hz
Determine the ratio of the frequency of G to C. Express the answer in a simple integer ratio. (Due to rounding the ratio will be approximate. )
a. 5 to 4
b. 3 to 2
c. 6 to 5
d. 9 to 8
Please select the best answer from choices provided
Answer:
B. 3 to 2
Step-by-step explanation:
I calculated it logically
The ratio of the frequency of G to C is 1.5. So, option b is correct.
What is meant by frequency ?Frequency of a wave is defined as the number of oscillations completed by the wave in one second.
Here,
The frequency of note G, f(G) = 392 Hz
The frequency of note C, f(C) = 262 Hz
The ratio of the frequency of G to C, r = frequency of G/frequency of C
r = f(G)/f(C)
r = 392/262
r = 1.496 approximately r = 1.5
Hence,
The ratio of the frequency of G to C is 1.5
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WILL MARK BRAINLIEST!!
Answer:
the answer to this is
(a.)(2,-1)
Can someone help me or explain how to find the missing value from the simple interest?
Please help me!
Will give brainlst :)
Suppose you have two rectangular prism with dimensions 2 feet by 3 feet by 5 feet. You want to join prisms together to form a larger rectangular prism. Which faces should you join if you want to make a prism with the least possible surface area?
Answer:
Below in bold.
Step-by-step explanation:
You would join the faces with the greatest area
That is the faces with dimensions 3 feet by 5 feet.
What would this One be??
Answer:
the pre-image and the image are congruent
Step-by-step explanation:
Answer:
i think its c
Step-by-step explanation:
Once again, consider the data for Fred's caloric intake. 2000 2200 2100 2400 2500 1900 2200 2200 2700 2600 Find the : (enter your answers as numbers) Sample standard deviation (rounded to the nearest hundredth)
Answer:
The sample standard deviation is of 248.19.
Step-by-step explanation:
First we find the sample mean, which is needed to find the sample standard deviation.
Sample mean:
Sum of all values in the sample, divided by the number of values. So
[tex]M = \frac{2000+2200+2100+2400+2500+1900+2200+2200+2700+2600}{10} = 2280[/tex]
Sample standard deviation:
Square root of the sum of the difference squared between each value and the mean, divided by the number of values. So:
[tex]S = \sqrt{\frac{(2000-2280)^2+(2200-2280)^2+(2100-2280)^2+(2400-2280)^2+(2500-2280)^2+(1900-2280)^2+...}{10}} = 248.19[/tex]
The sample standard deviation is of 248.19.
the auto parts department of an automotive dealership sends out a mean of 66 special orders daily. what is the probability that, for any day, the number of special orders sent out will be no more than 33
Answer:
0% probability that, for any day, the number of special orders sent out will be no more than 33
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 66 special orders daily
This means that [tex]\mu = 66[/tex]. We have the mean during a time interval, which means that the number of special orders follow a Poisson distribution, which has [tex]\sigma = \sqrt{\mu} = \sqrt{66}[/tex]
What is the probability that, for any day, the number of special orders sent out will be no more than 33?
Since the Poisson distribution, which is discrete, is approximated to the normal(which is continuous), we have to use continuity correction, and thus, this probability is P(X < 33 - 0.5) = P(X < 32.5), which is the p-value of Z when X = 32.5.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{32.5 - 66}{\sqrt{66}}[/tex]
[tex]Z = -4.12[/tex]
[tex]Z = -4.12[/tex] has a p-value of 0.
0% probability that, for any day, the number of special orders sent out will be no more than 33
Math word problem: Henry must do 50 hours of community service. He has completed 35 hours. What fraction and
percent of the hours has he completed? What percent of the hours must he still complete?
Tysm to anyone who understands this
Answer: He's done 7/10ths or 70/100 of the hours he has to do, as a percent thats 70%
Step-by-step explanation: You take 35 and divide it by 50 which gives you 0.70 or 0.7, both are the same. You move the decimal point two places to the right and that gives you 70%, to change that into a fraction, just divide it by 100.
Create a set of data with 7 values that has a mean of 30, a median of 26, a range of 50, and an interquartile range of 36.
5, 10, 23, 26, 45, 46, 55
The data set that has the set forth parameters is 5, 10, 23, 26, 45, 46, and 55.
What does mean, median, range and interquartile range mean?
Median can be described as the number that occurs in the middle of a set of numbers that are arranged either in ascending or descending order
Mean is the average of a set of numbers.
Mean = sum of the numbers / total number
Range is the largest number less the smallest number. The Interquartile range is the third quartile less the first quartile.
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Please answer both!!
If a car moves 12 km North,19 km east, and 12 km south, what is its displacement
Answer:
19 km east
Step-by-step explanation:
By going North 12 then south 12 the two cancel eachother out leaving only the eastern movement
Answer:
19 km, East
Step-by-step explanation:
I hope you get it right
I need an answer quick!!!
Answer:
0.34
Step-by-step explanation:
it is between 0.3 and 0.4 so obviously 0.3 is going to be there, but the next digit will be 4 because it moves 4 places to the right.
Answer:
The answer is .34
When you see a question like this you just go down to the next decimal place. In this example you count: .31, .32, .33, .34... and so on.
_ +18=5+41
What is the equation to finding the missing number
Answer:
28
Step-by-step explanation:
5+41= 46, so now subtract 46 to 18 and you get 28
To check 18+28=46 and 5+41=46
Answer:
Equação básica de segundo grau
What is the slope of the line passing through the points (1 5/7) and (2 2/7)
Answer:
Step-by-step explanation:
[tex]\frac{2}{7}-\frac{5}{7} = \frac{-3}{7} \\2 - 1 = 1\\\\Hence,\\(-3/7) / 1 = -3/7\\\\Hence, slope: -3/7[/tex]
Feel free to mark as brainliest :D
If right I’ll mark brainiest if u have questions put it in the comments
Answer:
6
Step-by-step explanation:
The interquartile range is calculated by subtracting the first quartile from the third quartile. Box and whisker plots make it pretty easy to find the quartiles. The first quartile is the point where the box starts, and the third is where the box ends. The second is the median/line in the middle of the box.
So for that first box plot on the top, the first quartile is 7, because that's where the box begins. The third quartile is 22 because it's where the box ends.
For the second one, the first quartile is 8 and the third is 17.
To find the interquartile range of each, subtract the first quartile from the third. 22-7 = 15 and 17-8 = 9.
Now to find the difference in the interquartile ranges, subtract 9 from 15. You get 6, so that is the answer :)
- Solve the equation 3 + n = 12
Answer:
n = 9
Step-by-step explanation:
Method 1(Algebra) :
3 + n = 12
3 - 3 + n = 12 - 3
n = 9
Method 2:
3 + n = 12
Move 3 to the other side of the equation.
n = 12 - 3
n = 9
A boat's value over time is given as the function f(x) and graphed below. Use A(x) = 400(b)x + 0 as the parent function. Which graph shows the boat's value decreasing at a rate of 40% per year?
Answer: I can't really tell you the answer because you didn't show the graphs...
Step-by-step explanation:
A boat's value over time is given as the exponential function f(x) = 400(0.6)ˣ
What is an exponential function?An exponential function is in the form:
y = abˣ
Where a is the initial value and b is the multiplication factor.
Given that the boat's value decreasing at a rate of 40% per year, hence:
b = 100% - 40% = 60% = 0.6
A boat's value over time is given as the exponential function f(x) = 400(0.6)ˣ
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What is the probability that the two pointers will land on an odd number and letter C? Give the probability as a percent
Answer:
12.5%
Step-by-step explanation:
hope this helps and its right
Answer:
Your answer would be 12.5%.
Step-by-step explanation:
There are two types of spinners here and the outcome of them is independent. That means
P(odd number, C) = P(odd number) * P(C)
There are two odd numbers out of four numbers in the first spinner. The chance of odd number will be:
P(odd) = 2/(2+2)= 1/2= 50%
There are four letters and the desired outcome is C. The chance for C will be:
P(C) = 1/4= 25%
Then the chance will be:
P(odd number, C) = P(odd number) * P(C)
P(odd number, C) =50% * 25% = 12.5%
Therefore, 12.5% will be your final answer.
plz SOLVE it CORRECTLY step by step asap
Answer:
Step-by-step explanation:
area of circle=π[tex]r^{2}[/tex]
=22/7*[tex]21^{2}[/tex]
=22/7*441
=9702/7
=1386 cm^2
10+4y=20
Help me and out the steps in please
Answer: 10+4y=20
4y= 10
y= 10/4
y= 5/2
Step-by-step explanation: above
Amil has a recipe that calls for 2/3 cups of flour. Amil wants to make 4 1/2 times that recipe. How many total cups of flour does Amil need?
Answer:
she will need 3 cups
Step-by-step explanation:
the total cups of flour Amil is 3 cups
A flea is jumping around on the number line. He starts at 3 and jumps 5 units to the left. Where is he now on the number line
Answer:
Answer. -2
Step-by-step explanation:
hope this helps!!