Answer:
The probability is 0.9
Step-by-step explanation:
We start by calculating the density function
That will be;
f(x) = 1/(b-a)
b and a are the extremes
from the question,
a = 15
b = 65
So f(x)
= 1/(65-15) = 1/50 = 0.02
The probability we want to calculate is;
P( x > 20)
The termination point is 65
So the probability will be
(65-20) * 0.02
= 0.9
Two of the steps in the derivation of the quadratic formula are shown below.
Step 6: = b^2-4ac/4a^2= ( x+b/2a )^2
Step 7: = +✔️b^2-4ac/2a= x + b/2a
Which operation is performed in the derivation of the quadratic formula moving from Step 6 to Step 7?
subtracting b/2a from both sides of the equation squaring both sides of the equation taking the square root of both sides of the equation taking the square root of the discriminant
Answer:
taking the square root of both sides of the equation
Step-by-step explanation:
The operation which is performed in the derivation of the quadratic formula moving from Step 6 to Step 7 is taking the square root of both sides of the equation.
What are Quadratic Equations?Quadratic equations are polynomial equations of second degree.
The general form of a quadratic equation is ax² + b x + c = 0.
Given two steps in deriving the quadratic formula which is used to find the roots of a quadratic equation.
The first step is,
step 6 : (b² - 4ac) / (4a)² = (x + b / 2a)²
step 7 : ± √(b² - 4ac) / 2a = x + b / 2a
We have to find which step is done in between to transform from step 6 to step 7.
It is clear that square root is taken.
When the square root is taken in step 6,
±√[(b² - 4ac) / (4a)²] = √[(x + b / 2a)²]
√(b² - 4ac) / √(4a)² = √(x + b / 2a)²
± √(b² - 4ac) / 2a = x + b / 2a
Hence the step performed is taking the square root on both sides.
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A speed skater skates 1.5 km in 78 s. What is her speed in km/h? Round to the nearest
Answer:
Step-by-step explanation:
Speed=Distance/Time
1.5/78=0.01923076923
Answer rounded=0.02/0.019
I need help on this question
Two angles of a triangle have the same measure and the third one is 3 degrees greater than the measure of each of the other two. Find the measure of the LARGEST angle in the triangle.
9514 1404 393
Answer:
62°
Step-by-step explanation:
If x is the largest angle, the sum of angles in the triangle is ...
x + (x -3) +(x -3) = 180
3x -6 = 180 . . . . . simplify
x -2 = 60 . . . . . . . divide by 3
x = 62 . . . . . . . . . .add 2
The largest angle is 62°.
PLEASE SOMEONE HELP ME WITH MY HOMEWORK ILL GIVE BRAINLIST TO WHOEVER GETS THIS RIGHT
Answer:
First one is sin 27 and cos 63
second one is sin 60
Step-by-step explanation:
Apply the Distributive Property and simplify.
- 8(x + 3) = 24
- 8x +
= 24
Answer:
x=-6
Step-by-step explanation:
-8(x+3)=24 first, divide both sides to get x+3=-3
then move the constant to the right and change its sign to get x=-3-3 and calculate to get your answer.
hope this helps!
If 25% of a number is 15, find 5% of that number?
Answer:
The answer is 3
Step-by-step explanation:
25% of 60 is 15 and 5% of 60 is 3
(GIVING BRAINLIEST!!)
Choose the equation that represents the fraction one eighth
A) 7 ÷ 8 = ________
B) 1 ÷ 8 = ________
C) 8 ÷ 7 = ________
D) 8 ÷ 1 = ________
Answer:
Step-by-step explanation:
The answer is d
Answer:
B.
Step-by-step explanation:
I did the test and got it right.
Seventh grade
>
M.10 Multi-step problems with percents ZHX
A store purchased a hammock and marked it up 125% from the original cost of $36.57.
Then, wanting to make room for summer inventory, the store placed the hammock on sale for
45% off. What was the price after the discount?
If necessary, round your answer to the nearest cent.
Answer:
$20.57
Step-by-step explanation:
36.57 x 125% (or 1.25) = $45.7125
and
$45.7125 x 45% (or .45) = $20.570625 which rounded up is $20.57
What is the solution for 7 +2x/5=13
Answer:
The correct answer is,
[tex]x = \frac{65}{37} [/tex]
28% of the students voted for Julie as 8th grade Class President. If she got 126 votes, how
many students are in the 8th grade class?
Answer:
450
Step-by-step explanation:
[tex] \frac{28}{100} = \frac{126}{x} \\ \frac{7}{25} = \frac{126}{x} \\ 7x = 126 \times 25 \\ x = \frac{126 \times 25}{7} = 450[/tex]
or
[tex]126 \div 0.28 = 450[/tex]
22. Two automobiles started at the same time from a point, but traveled in
opposite directions. Their rates were 45 and 65 miles per hour respectively.
After how many hours were they 440 miles apart?
Answer:
4
Step-by-step explanation:
45+65=110
110x4=440
The director of the admissions at a large university advises parents of incoming students about the cost of textbooks during a typical semester. He selected a sample of 100 students and recorded their textbook expenses for the semester. He then computed a sample mean cost of $315.40 and a sample standard deviation of $43.20
Required:
Using the 0.10 level of significance, is there evidence that the population mean is above $300?
Answer:
The calculated value t = 3.5648> 1.9842 at 0.1 level of significance
The null hypothesis is rejected
The mean of the sample does not come from the Population
Step-by-step explanation:
Step(i):-
Given that sample size 'n' = 100
Mean of the sample x⁻ = 315.40
The standard deviation of the sample (s) = 43.20
Level of significance = 0.1
Mean of the Population = 300
Null hypothesis: H₀: x₀ = μ
Alternative Hypothesis: H₁: x₀ ≠ μ
Step(ii):-
Test statistic
[tex]t = \frac{x^{-}-mean }{\frac{S}{\sqrt{n} } }[/tex]
[tex]t = \frac{315.40-300 }{\frac{43.20}{\sqrt{100} } }[/tex]
t = 3.5648
Degrees of freedom = n-1 = 100-1 =99
[tex]t_{\frac{0.1}{2} , 99} = t_{0.05,99} = 1.9842[/tex]
The calculated value t = 3.5648> 1.9842 at 0.1 level of significance
The null hypothesis is rejected
The mean of the sample does not come from the Population
Last year a pet groomer trim the nails of 865 cat and 1189 dogs if she charged $9 for pet how much money did she earn
Answer:
18486$
Step-by-step explanation:
Answer this Please (10) points for this
if Leah makes $9.50 per hour and she works 36 hours this week, how much will her paycheck be before taxes?
Answer:
Leah makes $342 before tax.
Step-by-step explanation:
9.50 x 36 = 342
Leah makes $342 before tax.
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
Answer:
Leah makes $342 before tax.
Step-by-step explanation:
9.50 x 36 = 342
Leah makes $342 before tax.
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
Step-by-step explanation:
Please help o..!!!!!!!
Answer:
the third one
Step-by-step explanation:
this is algebra 2, right?
Answer:
x ≠ 17
Step-by-step explanation:
X can be any number besides 17. If it was 17 you would be dividing by 0 which would cause the universe to implode on itself
What three pairs of numbers have 5 as there greatest common factor?
Answer:
10 and 15, 20 and 25, and 35 and 45.
Step-by-step explanation:
I rlly need this now, show work pls :((
Answer:
1. y=-x-3 2.y=1/3x-4
Step-by-step explanation:
1. 3x+3y=-9
3y=-3x-9
y=-x-3
2. x-3y=12
-3y=-x+12
y=1/3x-4
How do I do this please hurry!!!!!!
Answer:
put a closed dot on -10. then draw a right arrow from -10 to 11
Step-by-step explanation:
Answer:
See below.
Step-by-step explanation:
Whenever the sign is greater than, the line needs to go to the right. Moreover, when it also is equal to, the dot must be shaded. The dot also needs to be on -10 in this instance.
In short, shaded dot on -10 going to the right.
Determine whether or not the following graph represents two quantities that are proportional to each other. Explain your reasoning.
Answer:
The quantities are not proportional.
Step-by-step explanation:
The values, x and y, do not begin or pass through the origin, (0,0). This means they are not proportional.
The graph represents two quantities are not proportional to each other.
What is Proportional?A relationship is proportional if each pair of data values are related in the same way, by multiplying by a factor. You can recognize a proportional relationship by looking at data, an equation, or a graph.
Given:
As, A relationship is proportionate if its graph is a line or ray that passes through the origin.
and, It is not proportionate if the line or ray does not go through the origin. Additionally, if anything is not linear, it is not proportional.
Here the graph also does not pass through the origin.
Hence, the graph is not proportional.
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Point A is located at (8, 7) and Point B is located at (0, 5) find the midpoint of line segment overline AB .
Answer:
The midpoint of the line segment D = ( 4, 6)
Step-by-step explanation:
Explanation:-
Given points are A(8,7) and B(0,5)
The midpoint of line segment overline AB
Let 'D' be the midpoint of AB
[tex]D= (\frac{x_{1} + x_{2} }{2} , \frac{y_{1} +y_{2} }{2} )[/tex]
[tex]D = (\frac{8+0}{2} , \frac{7+5}{2} )[/tex]
[tex]D = (\frac{8}{2} , \frac{12}{2} )[/tex]
The midpoint of the line segment
D = ( 4, 6)
through: (5, 1), slope = -1
Answer:
y = -x + 6
Step-by-step explanation:
Since the slope is -1, there is another point at (6,0), which is the x-intercept. The y-intercept is (0,6). The slope and y-intercept are then plugged into the slope-intercept form equation to get y = -x + 6
In the following equation y = 2x + 3, what value represents the growth?
Group of answer choices
Answer:
isn't it 2x?
Step-by-step explanation:
Factor the expression: 4d - 4
How do u do this plz help
Answer: 4(d - 1)
Step-by-step explanation:
both terms in 4d - 4 have a common factor: 4. pull this 4 out of both factors in order to get 4(d - 1)
Felix chooses a game piece from a bag. This table gives the number of game pieces of each color in the bag. what is the probability that Felix will choose a blue or green piece? Please help me
A. 1/3 | B. 1/4 | C. 1/6 | D.1/2
Color {}{}{}{}{} Number of pieces
______________________
Blue = 2
Green = 2
Red = 3
Yellow = 5
Add the colors together to get total pieces:
2 + 2 + 3 + 5 = 12 total pieces.
Blue and green = 2 + 2 = 4 pieces.
Picking blue of green would be 4/12 which reduces to 1/3
The answer is A. 1/3
2) What is 18th term in this sequence: 45, 49, 53, 57,
Answer:
a₁₈ = 113
Step-by-step explanation:
There is a common difference d between consecutive terms
d = 49 - 45 = 53 - 49 = 57 - 53 = 4
This indicates the sequence is arithmetic with n th term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 45 and d = 4, then
a₁₈ = 45 + (17 × 4) = 45 + 68 = 113
There are 100 performers in a dance recital. The ratio of men to women is 4 : 6. How many performers in the dance recital were men?
Answer:
40 men
Step-by-step explanation:
100 performers so the total men and women = 100
4 + 6 = 10
100/10 = 10
so 4(10) = 40
Caroline took a math test and got 19 out of 25 questions correct. What percent of the questions did she answer correctly?
Answer:
76%
Step-by-step explanation:
do the amount of correct answers divided by the total of questions asked.
4x50=??? use a calculator only if you need to!
Answer:
so if you know what
4 x 5 is you can just add a 0 to the end
so 4 x 5 = 20
o now add a 0
the awnser is 200!!
Step-by-step explanation: