Answer:
0.0051 = 0.51% probability that the thickness is less than 3.0 mm
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 4.8 millimeters (mm) and a standard deviation of 0.7 mm.
This means that [tex]\mu = 4.8, \sigma = 0.7[/tex]
(a) Probability that the the thickness is less than 3.0 mm
pvalue of Z when X = 3. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{3 - 4.8}{0.7}[/tex]
[tex]Z = -2.57[/tex]
[tex]Z = -2.57[/tex] has a pvalue of 0.0051
0.0051 = 0.51% probability that the thickness is less than 3.0 mm
A jar contains 40 balls numbered 1 through 40. Three balls are removed without being returned to the jar, and the numbers are written down in order. How many sequences of numbers are possible?
Answer:59280
Step-by-step explanation: Perumtaion of (40,3)
The required possible number of sequences is given as 59280.
Given that,
A jar contains 40 balls numbered 1 through 40. Three balls are removed without being returned to the jar, and the numbers are written down in order.
In arithmetic, combination and permutation are two different ways of grouping elements of a set into subsets. In combination, the components of the subset can be recorded in any order. In a permutation, the components of the subset are listed in a distinctive order.
Here,
Total number of balls = 40
Number of balls selected = 3
Combination of sequence = 40P3
Combination of sequence = 59280
Thus, the required possible number of sequences is given as 59280.
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solve by addition -8x+2y=14 -4x+y=4
Answer:Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.
No solution
Step-by-step explanation:
Answer:
Im not sure how to solve by addition but if you solve its it is no solution
Step-by-step explanation:
Hope this helps
What is the quotient?
Answer:
4000000000000=4x10^12
Step-by-step explanation:
The first choice is the quotient.
Geologists recorded the duration (in seconds) of over 500 recent eruptions of the Old Faithful geyser in
Yellowstone National Park. Here's a histogram showing the distribution of their data:
= 210
0.26
0.22
0.18
0.15
Relative frequency
0.11
0.07
0.04
0.00
75
300
150 225
Duration (seconds)
Suppose that we were to take random samples of 30 eruptions from this population and calculate į as the
sample mean duration of the eruptions in each sample.
Which graph shows the most reasonable approximation of the sampling distribution of ?
Answer: C (A unimodal histogram, and the dotted line lands at 210)
Step-by-step explanation:
Khan Academy - “The sample size is reasonably large (n = 30 _> 30), so the sampling distribution of x will be approximately normal even though the population isn’t.”
Elijah's uncle gave him $300 to spend on baseball equipment. He bought a pair of cleats for $69.99, two baseball jerseys for $32.99 each, a new glove for
$79.99 and two pair of socks for $6.99 each. Without including tax, to the nearest dollar, how much money did Elijah have left?
9514 1404 393
Answer:
$70
Step-by-step explanation:
The amount Elijah has remaining is ...
$300 -(70 +2×33 +80 +2×7) = $300 -(70 +80 +2(33 +7)) = $300 -230 = $70
To the nearest dollar, Elijah has $70 left.
_____
Each amount is within a penny of the nearest dollar, so we can simply use the nearest dollar amounts for the prices. In order for the answer to be different, Elijah would have to purchase 50 or more items with this pricing (something.99).
please helppppppppppppppppppppp
Answer:
The untrue statement is "B. This figure is a parallelogram"
Step-by-step explanation:
You know the figure isn't a parallelogram because parallelograms have no right angels, and this shape has two right angles.
can someone help me out with these equations?
1. (5+ √3)^2
2. (√6-5√3)^2
3. (6+3√2)^2
9514 1404 393
Answer:
28 +10√381 -30√254 +36√2Step-by-step explanation:
It is useful to remember the form for the square of a binomial.
(a +b)² = a² +2ab +b²
(a -b)² = a² -2ab +b²
__
1. (5 +√3)² = 5² +2·5·√3 +(√3)² = 25 +10√3 +3
= 28 +10√3
__
2. (√6 -5√3)² = (√6)² -2·√6·5√3 +(5√3)² = 6 -30√2 +75
= 81 -30√2
__
3. (6 +3√2)² = 6² +2·6·3√2 +(3√2)² = 36 +36√2 +18
= 54 +36√2
Two old RSM students were standing 10 ft apart when they spotted Mrs. Rifkin. If they immediately run in opposite directions at the speeds of 150 feet per minute and 160 feet per minute respectively, how many minutes will pass before they are 1870 feet apart?
Answer:
6
Step-by-step explanation:
Seeing that the two students are running aside from
each other. We can add the speeds together.
We can also subtract 10 feet from our goal of 1870
they are already feet apart.
1870ft / (150+1650) ft per min
we are left with our answer 6
Hope this helps!
Answer:
5.96 minutes :)
Use the figure below to complete the sentence.
B
A
E
39°
o
BGC and ZFGE are (select)
angles, so mZFGE =
Answer:
<BGC and <FGE are vertical angles
<BGC=90°-42°=48°
So m<FGE=48°
Hope it helps...
:) help yuh yuh PLS HELP
Answer:
first box=[tex]\sqrt{75}[/tex] second box= [tex]\sqrt{73}[/tex]
Step-by-step explanation:
The square root of 74 is roughly between the suareoots of 75 and 73.
Have a fantastic-o day friends! Have a great life and don't waste time doing nothing.
Answer:
yuh
Step-by-step explanation:
totally not using you to get the points-
square root 75 and square root 73
THe halloween haunt estimated they would make $125,450 this year. They expect to make 23,700 more than last year by the time they close this year. How much money did they make last Year? help due at 11.59
Answer:
it is at least $300000 good luck
The following is a list of a student's scores on his Spanish test. 71,69, 65, 84, 82, 95 Which box plot represents this data?
The box which represents this data is Minimum: 65
Q1: 69
Median: 82
Q3: 110
Maximum: 95
We are given that;
71,69, 65, 84, 82, 95
Now,
A box plot is a type of chart that shows the five-number summary of a set of data: the minimum, first quartile, median, third quartile, and maximum. To make a box plot, you need to follow these steps 1:
Arrange the data from smallest to largest.
Find the minimum and maximum of the data. These will be the endpoints of the whiskers.
Find the median of the data. This will be the vertical line inside the box.
Find the first quartile (Q1) and the third quartile (Q3) of the data. These will be the lower and upper edges of the box.
Find the interquartile range (IQR) by subtracting Q1 from Q3. This is the length of the box.
Find the lower and upper limits by subtracting 1.5 times IQR from Q1 and adding 1.5 times IQR to Q3. These are the boundaries for detecting outliers.
Draw a box from Q1 to Q3 with a vertical line at the median. Draw whiskers from the box to the minimum and maximum values that are within the lower and upper limits. Mark any outliers with dots or asterisks.
Therefore, by algebra the answer will be
Minimum: 65
Q1: 69
Median: 82
Q3: 110
Maximum: 95
More about the Algebra link is given below.
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Ilia brought pizza home for dinner. Ilia ate 1/4 of the pizza. His friend ate 1/3 of the pizza. How much was left for Ilia.
Answer:
5/12 of the pizza was leftgot Lila
Step-by-step explanation:
Well Lila ate 1/4 already and his freind ate 1/3
1/4+1/3
3/12+4/12
7/12
The whole pizza is gonna be 1 since a whole pizza
1-7/12
that would be 5/12
Answer:
5/12
Step-by-step explanation:
1/4 + 1/3 + x = 1
7/12 + x = 1
7/12 - 7/12 + x = 1 - 7/12
x = 5/12
The outlier has the greatest affect on the ___________.
Answer:
mean
Step-by-step explanation:
Find the surface area of the cylinder. Round your answer to the nearest tenth.
IF YOU ANSWER THE QUESTION CORRECTLY I WILL GIVE YOU BRAINIEST.
Answer:
188.5ft²
Step-by-step explanation:
Surface area of cylinder = 2πrh+2πr²
=2π3*7+2π3²
=42π+18π
=60π=188.495559215≈188.5ft²
Find the area of the following figure: 14ft 6ft 9ft
hi I am sorry I don't know.
help me solve this queston
TJohn's age is approximately 23.33 years, and Sharon's age is approximately 93.33 years.
And the correct graph is D.
To represent the given problem as a system of equations, we can use the following information:
John is 70 years younger than Sharon: j = s - 70
Sharon is 4 times as old as John: s = 4j
Let's plot the graph for this system of equations:
First, let's solve equation (2) for s:
s = 4j
Now substitute this value of s in equation (1):
j = s - 70
j = 4j - 70
3j = 70
j = 70/3
Substitute the value of j back into equation (2) to find s:
s = 4j
s = 4(70/3)
s = 280/3
The solution to the system of equations is j = 70/3 and s = 280/3
In the graph d, the solution to the system of equations is represented by the point (70/3, 280/3), which is approximately (23.33, 93.33) on the graph.
Therefore, John's age is approximately 23.33 years, and Sharon's age is approximately 93.33 years.
And the correct graph is D.
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HELP HELP GEOMETRY 15 points
Answer:
BC_______________________________
A is wrong because radians really refers to the arc with respect to the angle. The opposite is true with A.
D is wrong because the arc is actually bigger than the radius given 1.5 radians.
E is wrong because the area of the whole circle is defined as 2π radians, 1.5 rad × 1.5 = 2.25 rad is (405/π)° and 2π radians is 360° (2π × 180 / π)°.
F is wrong because the circumference of a circle is 2πr.
Which of the following is a true statement?
1/3 > 3/8
4/8< 8/24
4/8<9/16
4/16>3/8
We'll need to convert all the fractions to common denominators.
1/3 = 8/24
3/8= 9/24
4/8 = 12/24
8/24 stays the same.
4/8 = 8/16
9/16 stays the same.
4/16 stays the same.
3/8 = 6/16
Now we compare.
8/24 > 9/24 X
12/24 < 8/24 X
8/16 < 9/16 √
4/16 > 6/16
So the answer is C) 4/8<9/16
---
hope it helps
Write down an irrational number with a value between 6 and 7.
Answer:
Three irrational numbers between 6 and 7 are
i )6.2020020002...
ii) 6.5010010001....
iii)6.9010010001.... etc.
•••♪
[tex] \huge\boxed{\mathfrak{Answer}}[/tex]
3 irrational numbers with a value between 6 & 7 can be :-
6.101001000....6.533533353333....6.122122212222...A. using substitution find the value of the remaining unknown in each of the following formulas.
1.t=rs (s + 1) if r=4 and s=5
2.k=6-5q/2g if q=3 and g=8
3.p=a+b-2c if a=2, b=-1 and c=5
4.l=1/x - 2/y + z if x=4, y=6, and z=2/3
Answer:
Substitution means that we need to replace some of the variables by the given values.
1) t = rs*(s + 1) (if r=4 and s=5)
So we just need to replace r by 4 and s by 5 in the equation.
t = 4*5*(5 + 1) = 20*6 = 120
t = 120
2) k = 6 - 5q/2g (if q=3 and g=8)
We need to replace q by 3, and g by 8.
k = 6 - (5*3)/(2*8) = 6 - 15/16 = 5.167
k = 5.167
3) p = a + b - 2c (if a = 2, b = -1, c = 5)
Replacing the variables we get:
p = 2 + (-1) - 2*(5)
p = 2 - 1 - 10 = -9
p = -9
4) I = 1/x - 2/y + z (if x = 4, y = 6, and z = 2/3)
Replacing the variables we get:
I = 1/(4) - 2/(6) + (2/3)
I = 1/4 - 2/6 + 2/3 = 1/4 - 1/3 + 2/3
I = 1/4 + 1/3 = 3/12 + 4/12 = 7/12
I = 7/12 = 0.583
Jason can water all the plants at the botanical
garden in 32 minutes. Celia can water them in
25 minutes. If they work together, about how long
will it take for them to water the plants?
Answer:
If they water the plants in the garden together then it will take about 15 minutes because when they do it seperatly it takes about 30 minutes. So if they do it together, they are cutting work in half. And half of 30 is 15.
Step-by-step explanation:
32 rounded is 30.
25 rounded is 30.
30/ 2 = 15
Pleaseeee helpppppppp
Which integer represents 4° below zero
A: 0
B:4
C: -4
D: -0
find the total surface area of the prism. geometry hw. plz help me
Answer:
152
Step-by-step explanation:
Hello there!
The prism shown is a triangular prism
There are many different formulas for solving for the surface area of a triangular prism but I am going to use the most simple one
Formula: SA = bh + L(s1 + s2 + s3) (found in the image)
b = base length
h = height
L = length
s1 = (same thing as the base length)
s2 and s2 = other triangle side lengths ( the base is an isosceles triangle so they are equal to each other.)
The triangular prism has the following dimensions
b = 6
h = 4
L = 8
s2 and s3 = 5
Now that we have identified each dimension we plug in the values into the formula
SA = 6*4 + 8(6+5+5)
6*4=24
8*6=48
8*5=40
40*2=80
80+48=128
128 + 24 = 152 so the surface area of the triangular prism is 152 cm²
40 POINTS !! 40 POINTS !!
PLEASE HELP , DONT SKIP !
NO LINKS OR FILES.
Answer:
Its only 5 point but ok
its $3.44 per quart
Step-by-step explanation:
A box of 6 mini muffins costs $2.34. Which are equivalent prices? Select the three that apply.
A. $0.39 per muffin
B. $1.40 for 4 muffins
C. $3.12 for 8 muffins
D. $3.09 for 10 muffins
E. $7.80 for 20 muffins
Answer:
A
Step-by-step explanation:
2.34 divided by 6 so then that gives you o.39
Help meeeeeeeeeeeeeeeee
Answer:
27
Step-by-step explanation:
The width of the frame is 9. If Marcia needs it to be THREE times as long as it is wide, that would mean she would have to multiply 3 x 9 which equals 27
is negative 1 4/5 greater than negative 1 7/10
Answer:
no
Step-by-step explanation:
1 4/5 = 1 8/5 if you make a common denominator
I need help. This is due later today.
Answer:
D is one of them
Step-by-step explanation:
Someone please can help me to find the grids on the graph, please.
Answer:hold up
Step-by-step explanation: