Answer:0.3293
Step-by-step explanation:
According to the American music industry, the length of a song is normally distributed with a mean of 240 seconds and standard deviation thirty seconds. Suppose a random sample of fifteen songs is selected from the morning program. what is the probability that the length of the song is between 225 and 260 seconds long?
Answer:
96.89%
Step-by-step explanation:
Find the standard error:
s = σ/√n
s = 30 / √15
s = 7.75
Find the z-scores:
z = (x − μ) / s
z₁ = (225 − 240) / 7.75
z₁ = -1.94
z₂ = (260 − 240) / 7.75
z₂ = 2.58
Find the probability.
P(-1.94 < Z < 2.58) = P(Z<2.58) − P(Z<-1.94)
P(-1.94 < Z < 2.58) = 0.9951 − 0.0262
P(-1.94 < Z < 2.58) = 0.9689
Find the missing endpoint if K is the midpoint of segment LM. L(-9, 4) and K(2, -1); Find M.
10.) Riley purchased 4 bows for $1.59 each and 3 headbands for $0.99 each. Write and then evaluate an expression for
the total cost of the hair supplies,
Answer:
(4 x 1.59) | (3 x .99)
Step-by-step explanation:
Because 4 bows times 1.59 then 3 headbands for .99
(2,1),(-3,1) how do you solve this I’m looking for the slope I also have to show work
Answer: 0
Step-by-step explanation:
To find the slope, you would need to use the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex].
[tex]m=\frac{1-1}{-3-2} =\frac{0}{-5} =0[/tex]
The slope is 0, meaning the line is horizontal.
Triangle ABC contains the point A(5,2). Find the coordinates of A' after a reflection over the x-axis
Answer:
Step-by-step explanation:
Should be 5,-2 OR NOT
Ten times the sum of half a number and 6 is 8
Answer:
I think it's 7
Step-by-step explanation:
I'm guessing I think
Which ratio would allow you to convert from 45 cm into feet? A. 1 inch/2.54 cm...because feet would cancel out B. 2.54cm/1 because cm would cancel out C. 2.54cm/1 inch...because in would cancel out D. 1 inch/2.54 cm...because cm would cancel out
Answer:
The correct answer is 1 feet/2.54 cm because the cm would cancel out
Step-by-step explanation:
Here, we want the ratio that would allow us convert from 45 cm into feet.
The correct answer here is 1 feet/2.54 cm because the cm would cancel out, leaving us with the feet only.
It would be a case like;
1 feet/2.54 cm * 45 cm
So, we would have;
(45 cm * 1 feet)/2.54 cm
0.4x - 5 = 0.08x + 3 srry I forgot the x
Answer:
x= 25.
Step-by-step explanation:
To isolate "x", I first moved all terms containing x to the left side of the equation: 0.32x-5=3 (0.4-0.08=0.32). Then moved all terms not containing x to the right side of the equation: 0.32x=8. Finally, I divided 8 by 0.32 which equals 25. Thus, x=25. I hope this helped!
help please? i have no idea what i’m doing
I need help! And I need a reasoning as well
Answer:
A) 3²·3³
E) 3^4·3^1
Step-by-step explanation:
When multiplying numbers with exponents, keep the base the same and add the exponents.
So A and E would equal 3 to the fifth power.
Answer:
A & D
Step-by-step explanation:
3^5 = 243
The only other equations that also equal 243 are A & D.
You can also break the exponent up.
(Ex: The exponent is 5. You can split it by having 1 & 4 or 2 & 3)
(Ex continued: The number 3 must be the base number though.)
Why can you multiply both quantities in a ratio by the same number to find an equivalent ratio? Please help I have this for homework and I am very frustrated
Answer:
Multiplying by 1 does not change the ratio
Step-by-step explanation:
Multiplying a/b by c/c gives the equivalent ratio (ac)/(bc) because c/c is 1, the multiplicative identity element. Multiplying by 1 does not change the ratio.
Answer:help me pls then ill help u
Step-by-step explanation:
A train traveled at a constant speed for six hours and traveled a distance of 408 miles. What is the best estimate of the number of miles the train could travel in 2.5 hours? *
these days more and more appliances are talking to each other and with the internet. How will all this talk help in the development of AI systems
Answer:
please mark brainliest!
Step-by-step explanation:
The internet today is driven by smartphones, tablets, and personal, given in the system Explanation, AI makes the appliances talk to each other by decoding.
5. Which has a value greater than 600 but less than
6,000.?
A. 6.1 x 103
C. 5.26 103
B. 5.9 ~ 104
D. 7.87 x 103
Answer:
C
Step-by-step explanation:
5.26×10^3=5260 which is less 6000 and greater than 600
Which problem can be represented by the equation 100x+50=710?
A coin bank can hold 710 coins. There are 50 coins in the bank. A student puts in 100 coins per week. How many weeks until the bank is full?
A coin bank can hold 100 coins. There are 50 coins in the bank. A student puts in 710 coins per week. How many weeks until the bank is full?
A coin bank can hold 100 coins. There are 710 coins in the bank. A student puts in 50 coins per week. How many weeks until the bank is full?
A coin bank can hold 710 coins. There are 100 coins in the bank. A student puts in 50 coins per week. How many weeks until the bank is full?
Answer: The first answer
A coin bank can hold 710 coins. There are 50 coins in the bank. A student puts in 100 coins per week. How many weeks until the bank is full?
Step-by-step explanation:
We want to see which problem can be represented with the equation:
100*x + 50 = 710.
The correct option is:
"A coin bank can hold 710 coins. There are 50 coins in the bank. A student puts in 100 coins per week. How many weeks until the bank is full?"
So, let's briefly analyze the equation.
We have the linear equation:
100*x + 50 = 710.
On the left side, we have 100 times the variable plus a constant of 50, and that must be equal to 710.
So, we start with 50, and if x counts the number of weeks, we add 100 per week.
And because that is equal to 710, we are counting the number of weeks that we need to add 100 to get to that number.
So the problem that meets these conditions is:
"A coin bank can hold 710 coins. There are 50 coins in the bank. A student puts in 100 coins per week. How many weeks until the bank is full?"
If you want to learn more, you can read:
https://brainly.com/question/2263981
. Classify the relationship between the pair of angles. ∠10 and ∠12.
Answer: consecutive interior angles
Step-by-step explanation:
5-6x.8571 = 8x8571 + 17
false
Step-by-step explanation:
What are the points of intersection of the following functions? F(x)=3x+6 and g(x)=2x^2-3
Answer:
(3,15) and (-1.5, 1.5)
Step-by-step explanation:
If g(x) = 2x² - 3
Evaluate Y - R for R= -2 and Y= -7
Answer:
5
Step-by-step explanation:
-2 - (-7)
you have to do the opposite of the sign and switch the last number from neg to pos
for auto tech and uhh it’s rlly just about starting a toolbox with tools sort of deal thing with a $600 budget
Solve 3x - x + 2 = 12.
O 1) – 5
O 2) 4
0 3 7
4) 5
Answer:
4) 5
Step-by-step explanation:
3x-x+2=12
First, you combine similar terms, so 3x-x which is 2x.
Second, you subtract 2 on both sides which is going to give you 2x=10.
Finally, you divide by 2 on both sides, so the final answer is going to be x=5.
Please Help!!! 10 Points! Brainliest Answer
Given the points (10, 0) and (0, 9), find - the slope of the line between these two point, and - the distance between the two points.
Answer: m=-9/10; d=13.45
Step-by-step explanation:
To find the slope, you would use the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]. We plug in the given points and solve.
[tex]m=\frac{9-0}{0-10} =\frac{9}{-10} =-\frac{9}{10}[/tex]
Now, we know that slope is -9/10.
To find the distance between the points, we use the distance formula.
Distance formula: [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]d=\sqrt{(0-10)^2+(9-0)^2}[/tex] [parenthesis]
[tex]d=\sqrt{(-10)^2+(9)^2}[/tex] [exponent]
[tex]d=\sqrt{100+81}[/tex] [add]
[tex]d=\sqrt{181}[/tex]
[tex]d=13.45[/tex]
Now, we know the distance is approximately 13.45.
Point B lies on segment AC . Find the length of segment BC if AB = 3.7 cm and AC = 7.2 cm.
Answer:
3.5 centimeters
Step-by-step explanation:
The total length of segment AC is 7.2 cm. The second segment AB, is 3.7 cm. If you subtract 3.7 from 7.2 you will get 3.5 cm.
how do we get 8 3/5>8 6/7
make the denominators the same so you cancompare
What is 8.325 rounded to the nearest hundredth?
Answer:
8.3
Step-by-step explanation:
hope it helps
need help can someone explain this problem
please.
The perimeter = the sum of the length of each side.
The shape with missing sides is a rectangle, and we know that rectangles have equal opposite sides.
The top of the rectangle = 3.5 and now we know all the values of each side.
3.5 + 3.5 + 2.4 + 2 + 2 = 13.4 cm.
The perimeter = 13.4cm
3 is subtracted from the cube of a number.
The equation [tex]x^{3} - 3[/tex] has x values as 0, [tex]\sqrt{3}[/tex] and -[tex]\sqrt{3}[/tex].
We are given,
3 is subtracted from the cube of a number.
Let the number be x then we can write it as:
[tex]x^{3}[/tex] - 3
We are to solve for x.
We can write the equation as:
[tex]x^{3}[/tex] - 3 = 0
x ( [tex]x^{2}[/tex]- 3 ) = 0
x = 0 and ( [tex]x^{2}[/tex] - 3 ) = 0
x = 0 and [tex]x^{2}[/tex] = 3
x = 0 and x = ±[tex]\sqrt{3}[/tex]
So we have,
x = 0, [tex]\sqrt{3}[/tex] and -[tex]\sqrt{3}[/tex]
Thus we have x values as 0, [tex]\sqrt{3}[/tex] and -[tex]\sqrt{3}[/tex].
Learn more about solving equations for x here:
https://brainly.com/question/2623597
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Bob jogs 3/4 mile each day. How far does Bob jog in 6 days?
Answer:
4 2/4
Simplified: 4 1/2
Step-by-step explanation:
This is the answer because:
1) Since you Bob runs 3/4 mile each day, you have to multiply 3/4 with 6 because they are asking how far did Bob jog in 6 days.
2) 3/4*6 is equal to 18/4 which equivalent to 4 2/4 the simplified version is 4 1/2
Someone help ! It’s talking about Integers !!
Step-by-step explanation:
The numbers to the right of 0 are positive. The numbers to the left of 0 are negative. 0 is neither positive nor negative.Answer:
1) Numbers which are to the left of 0 are negative numbers.
2) Numbers which are to the right of 0 are positive numbers.
3) 0 is neither positive nor negative
When it comes for plotting the numbers on the number line , just point out the numbers in accordance to their sign. In the given number line ( in the attachment ) , only mark those numbers which are being asked to plot in the number line .
Step-by-step explanation:
) consider the initial value problem y′−5y=15t+3et,y(0)=y0 y′−5y=15t+3et,y(0)=y0 (a) solve the initial value problem. (enter y0 for y0y0). y(t)y(t)= equation editorequation editor (b) determine the value of y0y0 that separates solutions that grow positively as t→[infinity]t→[infinity] from those that grow negatively.
Answer:
a)value attached below
b)Yo = [tex]\frac{-27}{20}[/tex]
Step-by-step explanation:
A) solving initial value problem
[tex]y' - 5y = 15t + 3e^t[/tex]
y(0) = yo
hence the solution of the initial value problem : y(t)
Y(t) =
Attached below is the detailed solution
B) Yo = [tex]\frac{-27}{20}[/tex] separates the solutions as
t →∞
this is because when y(t) < [tex]\frac{-27}{20} y(t) tends to inifiniy[/tex]
y(t) > [tex]\frac{-27}{20} y(t) tends to inifinity[/tex]