Answer:
The z score for your flight's taxi time is of 2.14.
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.
An airline claims that its average taxi time is 15 minutes, and the standard deviation is 1.4 minutes.
This means that [tex]\mu = 15, \sigma = 1.4[/tex]
On a flight with this airline, you observe that the taxi time is 18 minutes. Calculate the z score for your flight's taxi time.
This is Z when [tex]X = 18[/tex]. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{18 - 15}{1.4}[/tex]
[tex]Z = 2.14[/tex]
The z score for your flight's taxi time is of 2.14.
You can convert the variate which tracks heights of trees to standard normal variate. That value of standard normal variate is called the z score and shows the area of the considered area in the plot of the standard normal distribution.
The z score for our flight's taxi time is approx 2.14286
How to convert a normal distribution variate to standard normal distribution variate?Suppose you have got a normal distribution variate with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] (let the variate is denoted by X), then we have
[tex]X \sim N(\mu, \sigma)[/tex]
To convert it to standard normal distribution with mean 0 and the standard deviation as 1 ( [tex]Z \sim N(0,1)[/tex] ), we have:
[tex]Z = \dfrac{X - \mu}{\sigma}[/tex]
For the given case we have:
Let the average taxi time be tracked by random variable X, then, as the mean time is 15 minutes, and the standard deviation 1.4 minutes , thus,
[tex]X \sim N(15, 1.4)[/tex]
Converting it to standard variate:
[tex]Z = \dfrac{X - 15}{1.4}[/tex]
Since the observed taxi time was 18 minutes, thus, we have X = 18,
Getting the z score:
[tex]Z = \dfrac{18 - 15}{1.4} = \dfrac{3}{1.4} \approx 2.14286[/tex]
Thus,
The z score for our flight's taxi time is approx 2.14286
Learn more here about normal distribution here:
brainly.com/question/14989264
Find the value of X
Answer:
18
Step-by-step explanation:
This is a 5 sided shape, aka a pentagon, and we know that five sided shape's angles add up to 540, so our equation is:
(9x-6)+(3x+23)+95+(7x-4)+90=540.
Combine like terms:
We get 25x+90=540
x = 18
Can someone help me with this pls, it's due very soon!!
(GIVING BRAINLIYEST)
7. what is the volume of these 2 objects
figure #1
smaller part
4x7x2= 56m
larger part
4x3x7= 84m
84+56= 140m³
figure #2
smaller part
2x4x3= 24m
larger part
4x4x12= 192m
192+24= 216in³
which of the value of x satisfies the equation below -2x-7=12
A: x= -9.5
B: x= -9
C: x=9
d:x=9.5
2x^3+7x^2-4x+7/x^2+2x+2
Answer:
Step-by-step explanation:
Do 4x and 15+x have the same value when x is 5
Answer:
Yes!
Step-by-step explanation:
4x5= 20
15+5= 20
what equality is shown here on the number above?
Answer:
the equality shown is : x is greater than or equal to -3.
What is the graph represents the equation y=1/3x+2
Step-by-step explanation:
step 1. you mean which graph represents the equation y = (1/3)x + 2?
step 2. please provide the graphs - they are missing.
step 3. the equation has a slope of 1/3 which means it goes up one and three to the right.
step 4. the y intercept is 2 so it goes through the point (0, 2).
Find the circumference of 17 km
Answer:
23
Step-by-step explanation:
Area = π·r2 = 3.14·2.712 = 23 square kilometers(*)
what is the unit rate shown by the graph
Answer:
id say 30 kilometers per hour
HELP BRIANLIEST TO BEST ANSWER
The school store has 1200 pencils in stock and sells an average of 25 pencils per day. The manager reorders when the the number of pencils in stock is 650.
The number of days is the independent variable.
True or false
Answer:
If anything, I think the answer is true. That is about 30 days, and that is an independent variable to me.
Step-by-step explanation:
Answer:
false they are measuring the amount the sold
2
Simplify the expression by combining like terms.
2x + 4y + 6 + 2y - 5+ 3x
<
Answer:
5x + 6y + 1
Step-by-step explanation:
PLEASEEE HURRY I WILL GIVE BRAINLEST ITS JUST ONE QUESTION
This is literally my last try and if I get this wrong I fail PLEASE answer it correctly that’s all I ask.
(I just need the last question. The multiple choice answers are ‘4,5,6,7,8,9’ I am allowed to choose more than one if needed)
Below is the graph of a polynomial function F with real coefficients. Use the graph to answer the following questions about F. All local extrema of F are shown in the graph.
Answer:
A. The first one is a check the second one is a check the third one is a check and the 6th one is a check.
B. I think it is -5. 3, 8
C. should be negative
D. I think im sure but i dont want to give you the wrong answer
Step-by-step explanation:
Good luck on your test!
write 1,593 in standard form
Answer:
one thousand five hundred and niethree .
Step-by-step explanation:
You just use words instead of numbers.
Can someone help? I’ll give brainliest
Answer:
yes i will!
Step-by-step explanation:
what does 108 × 1/3 equal?
Answer:
It would be 36
Explanation:
First:
Convert any mixed numbers to fractions.
Then your initial equation becomes:
108/1 ×1/3
Applying the fractions formula for multiplication,
=108×1/1×3 = 108/3
Simplifying 108/3, the answer is
=36
hope it helped. :)
What is 5 divided by 1/8?
Answer: 50
Step-by-step explanation:
Its 40
Step-by-step explanation
The ratio of red to blue marbles is 4 to 5. If there are 36 marbles
how many are blue?
Answer:
There are 45 blue marbles
Step-by-step explanation:
Well if 4 times 9 is 36, then 5 times 9 is 45
= 36 : 45
During a test drive, a self-driving car travels a distance of 50 miles in 80 minutes. How many miles will the car travel after 160 minutes?
Answer:
100
Step-by-step explanation:
80*2=160
so 50*2=100
Help me please guys.
Determine the ratio in the picture below
Answer:
Sin Z=30/50 or 3/5
Step-by-step explanation:
To figure out Sin Z, you need the formula which is Sin=o/h
O=opposite
H=Hypotenuse
To find opposite, you locate the angle(angle Z) and you draw an arrow that is opposite of the angle. To find hypotenuse, you pinpoint the right angle and you find the degree that it is opposite of.
O=30
H=50
Finally, you simplify 30/50 to get 3/5ths. Hope this helps you out!
What is 264*675+1239-56+887
Answer:
180270
Step-by-step explanation:
Do Pemdas to find order of operations:
(264*675)+ 1239-56+887
So it is:
(178200)+2070
This equals: 180,270
Which of the following functions is graphed below?
Answer:
i think it is Answer D i am not sure
Step-by-step explanation:
Assume that y varies inversely
with x. Ify = 7 when x = 2/3, find
y when x = 7/3.
Y=?
Answer:
y = 2
Step-by-step explanation:
y varies inversely with x setup is:
y = k/x
7 = [tex]\frac{k}{2/3}[/tex] (find 'k')
k = 7/1 · 2/3
k = 14/3
use what you know about 'k' and 'x' to solve for 'y'
y = 14/3 ÷ 7/3 (remember to multiply by the reciprocal when dividing fractions)
y = 14/3 · 3/7
y = 2
5. If the ratio of boys to girls in a student's class is 5 to 7, what fraction of the class is boys?
What fraction is girls?
Answer:
Boys ratio- 5/12 girls ratio 7/12 dont think you can simplify
Step-by-step explanation:
Answer:
5 = Boys 7 = Girls
Step-by-step explanation:
Boys:Girls = 5:7. I hope this helps :)
The yield of strawberry plants depends on the amount of fertilizer fed to the plants. Agricultural research shows that an acre of strawberry plants will yield 770 pounds of strawberries when 70 cubic feet of fertilizer are applied. If 90 cubic of feet of fertilizer are applied, the yield will be 990 pounds of strawberries. Use linear interpolation to estimate the yield if 72 cubic feet of fertilizer are applied.
______________(and select unit of meansure)---> (cubic feet/ pounds per cubic foot/ pounds/cubic feet per pound
Answer:
[tex]792\ \text{pounds}[/tex]
Step-by-step explanation:
[tex]x_1=70[/tex] cubic feet of fertilizer is used in [tex]y_1=770[/tex] pounds of strawberries
[tex]x_2=90[/tex] cubic feet of fertilizer is used in [tex]y_2=990[/tex] pounds of strawberries
[tex]x=72[/tex] cubic feet of fertilizer is used
Linear interpolation is applied
[tex]y=y_1+\dfrac{(x-x_1)(y_2-y_1)}{x_2-x_1}\\\Rightarrow y=770+\dfrac{(72-70)(990-770)}{90-70}\\\Rightarrow y=792\ \text{pounds}[/tex]
72 cubic feet of fertilizer will yield [tex]792\ \text{pounds}[/tex] of strawberries.
9x^{2} - x^{3} - 9 + x
What is ^^^ factored?
Step-by-step explanation:
9x² - x³ - 9 + x
factored = x²(9 - x) - (9 - x)
= (9 - x)(x² - 1)
= (9 - x)(x + 1)(x - 1)
What value of x will make the equation below true?
5x=3x+8
Answer:
x = 4
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
~Hoped this helped~
PLEASE HELP!!
What is the volume?
8 t
7 ft
21
cubic feet
Answer:
The answer is 8ft
Step-by-step explanation:
hope that helps :)))
Answer:
112ft²
Step-by-step explanation:
volume= length×breadth×height
[tex]v = 8 \times 2 \times 7 = 112f {t}^{2} [/tex]
3
What is the solution to the equation 9x = 54?
x = 6
B) x = 7
C
X = 8
x = 9
Answer:
6
Step to Step:
9x6=54
Answer:
Option A
Step-by-step explanation:
In order to find the answer to this equation you must remember to divide if there is a variable right next to the number.
[tex]9x=54[/tex]
[tex]\div9[/tex]
[tex]54\div9=6[/tex]
[tex]x=6[/tex]
Hope this helps.
Can anyone help I do t know how to find all seven angles
Answer:
1. 110
2. 70
3. 70
4. 110
5. 110
6. 70
7. 70
Step-by-step explanation:
when to lines cross, opposite angles are equal so like 1 and 4 are equal
1, 4, and 5 are equal to 110
to find 2, 3, 6, and 7, subtract 110 from 180
Step-by-step explanation:
110 is vertical from angle 5 so they are the same
180-110=70 degrees