Answer:
0.0082 = 0.82% probability that the height of a randomly selected tree is as tall as mine or shorter.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
Assume that X has a normal distribution with a mean of 191.8 ft and a standard deviation of 4 ft.
This means that [tex]\mu = 191.8, \sigma = 4[/tex]
A tree of this type grows in my backyard, and it stands 182.2 feet tall. Find the probability that the height of a randomly selected tree is as tall as mine or shorter.
This is the pvalue of Z when X = 182.2. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{182.2 - 191.8}{4}[/tex]
[tex]Z = -2.4[/tex]
[tex]Z = -2.4[/tex] has a pvalue of 0.0082
0.0082 = 0.82% probability that the height of a randomly selected tree is as tall as mine or shorter.
5. Five-eighth of a number is 15. What is the number?
Your answer
Answer:
I think it is 24
Step-by-step explanation:
15÷5=3
3×8=24
Answer:
24
Step-by-step explanation:
divide 15 by 5 to get 3 which is equal to 1/8 of the number. then just multiply 3 by 8 to get 24.
What is the y-intercept of the linear function?
y=5/2x-4
.
Simplify the expression below
4(2x+8y+9)-3x+40
plz help
Answer:
5x+32y+76
Step-by-step explanation:
First, distribute.
4 x 2x = 8x
4 x 8y = 32y
4 x 9 = 36
Then, combine like terms.
8x - 3x = 5x
36 + 40 = 76
And that leaves 5x+32y+76
What is the measure (in radians) of central angle 0 in the circle below? Enter an exact expression.
Answer:
[tex] \frac{\pi^{c} }{3} [/tex]
Step-by-step explanation:
Measure of the length of an arc of a circle is given as:
[tex]l = \frac{ \theta}{2\pi} \times 2\pi r \\ \\ \pi = \frac{ \theta}{2\pi} \times 2\pi \times 3 \\ \\ 3 \theta = \pi^{c} \\ \\ \theta = \frac{\pi^{c} }{3} \\ [/tex]
In the figure shown, APQR-ADFE
Р
X + 6
6
X + 1
4
Q
x + 3
R
E
X + 8
F
Which equation can be used to find the value of x?
AX+1= 6
B x + 3 = 6
С
X-1
6
x+6
0.x= = *=3
Answer:
The second one
Step-by-step explanation:
if you do the math you can see that the value of x is the second one. I got it right on edge
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PLS SHOW THE WORK!!!!!!!!
Answer:
1a. x= y+1/2 1b. y=2x-1
2a. x= -4y-8/3 2b. y= -3x/4 -2
Step-by-step explanation:
Type in math problem solver then click the first one and then you can get all your answers there
can you find the radius
Answer:
radius is 6.5
I hope it's helps you
What is the total area of this composite figure rounded to the nearest hundredth?
29.57 mm 2
19.14 mm 2
17.57 mm 2
31.14 mm 2
Answer:
choice #4, total=31.14 mm^2
Step-by-step explanation:
14x2=28 is area of rectangle
1^2xPi=area of small circle
3.14=area of small circle
total=31.14 mm^2
HELP I WILL MARK U BRAINLIEST
Simplify. Write your answer using exponents
Answer:
81^84375
Step-by-step explanation:
HELP ASAP! I need help with 11 and 12 please!! Thank you!
Answer:
Q11 part 4 is the correct option
Q12 part 4 is also the correct option
plz help my friend plz and thank you
Answer:
8.7 ≈ 9
Step-by-step explanation:
2πr = 55, so r = 55/(2*3.14) ≈ 8.7579...
Jordan invests £2100 into his bank account.
He receives 5.1% per year simple interest.
How much will Jordan have after 2 years?
Give your answer to the nearest penny where appropriate.
Answer:
£4414.20
Step-by-step explanation:
Find out how much is 1% of the money invested in his bank account.
100% = 2100
1% = 2100 ÷ 100 = 21
Find out 5.1% which is his interest that he receives every year.
5.1% = 21 x 5.1 = 107.1
Find out how much he receives including interest every year.
2100 + 107.1 = 2207.1
Find out how much he will have after 2 years.
2207.1 x 2 = 4414.2
You do not need to estimate as there isn't an estimated for nearest penny as it has been estimated for you.
write the equation of the line that is parallel to y=4x-1 and passes through the point (4.9)
9514 1404 393
Answer:
y = 4x -7
Step-by-step explanation:
Rearranging the slope-intercept for equation, we can find the intercept:
y = mx +b
y -mx = b . . . . . subtract mx
We know the slope of the parallel line is the same as that of the given line (m=4), so we only need to find 'b'.
b = 9 -4(4) = -7
The desired equation is ...
y = mx +b
y = 4x -7
2 to the power of =32
I need it to day
what is the conjugate of 7+2√5
i don’t know how to do this please help
If C = x2 + 7 and D = 3x2 - 4x + 3, find an expression that equals 3C + 3D in standard form.
Answer:
The new expression is: 12 x^2 - 12 x+ 30
Step-by-step explanation:
if C = x^2 + 7
and
D = 3 x^2 - 4 x + 3
Then, 3 C + 3 D can be obtained via:
3 ( x^2 + 7 ) + 3 ( 3 x^2 - 4 x + 3 ) = 3 x^2 + 21 + 9 x^2 - 12 x + 9 =
= 12 x^2 - 12 x+ 30
A set of three scores consists of the values 6, 3, and 2.
Σ2(X – 3)
Answer:
3. Variável Aleatória (v.a.): Uma função X que associa a cada elemento do espaço ... Se o conjunto de valores é qualquer intervalo de ... P (X < 6) = P(X=5) + P(X=4) + P(X=3) + P(X=2).
Please help with this question
Answer:
One book would cost $13.
Step-by-step explanation:
To solve this all you have to do is divide 65 by 5. Since 65 divided by 5 is 13, 13 is your answer. So one book would cost $13.
I hope this helps you.
Evaluate the expression when a=−15 and b=−5.
Answer:
-3/5
Step-by-step explanation:
(b + 14)/a = ((-5) + 14)/(-15) = -9/15 =-3/5
22 points
Help ASAP Please
Given the equation y = -3x + 1 find the values for y given the value x
If x = 3 then y =
If x = -3 then y =
If x = 4 then y =
If x = -2 then y =
Answer:
If x = 3 then y = -8
If x = -3 then y = 10
If x = 4 then y = -11
If x = -2 then y = 7
The function g(x) is defined as shown
What is the value of g(0)?
0-2
-1
3x-2, 45X-2
3
g(x) = -X-1, -25x< 1
6. 15x<3
6
Oo
Answer:
-1
Step-by-step explanation:
[tex] - 2 \leqslant 0 < 1[/tex]
g(x)=0-1=-1
The value of the function g(0) is -1.
What is a function?A relation is a function if it has only One y-value for each x-value.
The given function g(x) = 3x-2, -4≤x<-2
g(x) = -x-1, -2≤x<1
g(x)=6, 1≤x≤3
We need to find value of g(0).
Let us check at which interval the value zero lies.
The zero lies in the interval -2≤x<1.
So we have to use the function g(x)=-x-1
Now put x as zero
g(0)=-0-1
=-1
Hence, the value of the function g(0) is -1.
To learn more on Functions click:
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The source or origin of a word is called its?
Answer:
Etymology
the study of the origin of words and the way in which their meanings have changed throughout history.
Step-by-step explanation:
I need help finding the answer to this:
Nathan opens a new savings account and makes an initial deposit of $400. If the account earns 2% annual interest, how much interest will he earn in 9 months?
Answer:
He will earn $6 in interest in 9 months.
Step-by-step explanation:
This is a simple interest problem.
The simple interest formula is given by:
[tex]E = P*I*t[/tex]
In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.
After t years, the total amount of money is:
[tex]T = E + P[/tex]
Initial deposit of $400.
This means that [tex]P = 400[/tex]
2% annual interest
This means that [tex]I = 0.02[/tex]
How much interest will he earn in 9 months?
An year has 12 months, this means that [tex]t = \frac{9}{12} = \frac{3}{4} = 0.75[/tex]
This is E. So
[tex]E = P*I*t = 400*0.02*0.75 = 6[/tex]
He will earn $6 in interest in 9 months.
What is the area of the trapezoid?
Answer:
A=78ft
Step-by-step explanation:
The area of a trapezoid is A=(a+b)/2 *h
a=long base
b=short base
h=height
For your trapezoid, it will look like this:
a=15ft
b=11ft
h=6ft
Let's add those into the equation:
A=(15+11)/2 *6
Okay, let's solve it! Using PEMDAS, we know parenthesis are first.
A=26/2 *6
Now we divide!
A=13*6
Multiply! And don't forget to add your unit.
A=78ft
Which value or values for the variable c from the set below will make 2 + 0.5c < 2c true
{0.2, 0.7, 1, 3}
A) Only 3
B) 1 and 3
C) 0.7, 1, and 3
D) All the values in the set
Mekala has an MP3 player called the Jumble. The Jumble randomly selects a song for the user to listen to. Mekala's Jumble has 4 techno songs, 2 country songs, and3 jazz songs on it. Mekala plans to listen to 270 songs.
Complete the following statement with the best prediction.
Mekala will listen to...
Please choose from one of the following options.
a) Exactly 60 country songs
b) Close to 60 country songs but probably not exactly 60country songs
c)Exactly 210 country songs
d)Close to 210 country songs but probably not exactly 210 country songs
Answer:
answer is B
Step-by-step explanation:
What is the distance between the two points? Use
the distance formula:
d= V(x2 – «1)? + (y2 – yı)?
Answer:
[tex]d= 3.61\ units[/tex]
Step-by-step explanation:
The points (missing) from the question are:
-2,1 and -5,3
Required
Evaluate [tex]d= \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2[/tex]
In the points given:
[tex](x_1,y_1) = (-2,1)[/tex] and [tex](x_2,y_2) = (-5,3)[/tex]
Substitute these values in [tex]d= \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2[/tex]
[tex]d= \sqrt{(-5 - (-2))^2 + (3 - 1)^2[/tex]
[tex]d= \sqrt{(-3)^2 + (2)^2[/tex]
[tex]d= \sqrt{9 + 4[/tex]
[tex]d= \sqrt{13[/tex]
[tex]d= 3.61\ units[/tex] -- approximated
A company rents out 15 food booths and 23 game booths at the county fair. The fee for a food booth is
$150 plus $4 per day. The fee for a game booth is $95 plus $10 per day. The fair lasts for d days, and all the
booths are rented for the entire time. Enter a simplified expression for the amount, in dollars, that the
company is paid.
The expression is
Answer:
290d + 245
Step-by-step explanation:
Hello! So what you do first is make two equations, then combine them.
For the food booths, the equation would be 15(4d) + 150
For the game booths, the equation would be 23(10d) + 95
Now simplify them.
Food booths: 60d + 150
Game booths: 230d + 95
Next, we combine the two equations to get one equation.
60d + 150 + 230d +95
Simplify even more...
290d + 245
This is going to be your equation. I don't know the number of days the fair went so I can't go any futher on this question. Hope this helps though!
y+8=3(x+1) slope intercept form
Answer:
Step-by-step explanation:
y + 8 = 3x + 3
y = 3x - 5
a elevator is on the 10 floor it goes down 6 floors and then up 4 floors what floor is the elevator on now
Answer:
8th floor
Step-by-step explanation:
10 - 6 = 4
4 + 4 = 8
Answer:
8 floor
Step-by-step explanation:
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