Second option is correct. That is the probability of being below 514 with the mean 474 and standard deviation 32 is 0.8944.
What is normal distribution?A function that represents the distribution of many random variables as a symmetrical bell shaped graph.
The normal distribution is a probability distribution, so the total area under the curve is always 1 or 100%.
What is z-score?A z-score is a numerical measurement that describes a value's relationship to mean of a group of values.
Formula for calculating z-scorez = (x -μ)/σ
where,
z is standard score
x is observed value
μ is mean of sample
σ is standard deviation of sample
According to the given question
we have
x = 514
μ = 474
and
σ =32
therefore,
Z- score will be
Z = (514 -474)/32 = 1.25
So, the area under the normal distribution curve z<1.25
⇒ P(x<1.25) = P(Z<1.25) = 0.894
Hence, second option is correct one. That is, the probability of being below 514 if the mean of a normal distribution is 474and the standard deviation is 32 is 0.894.
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Bacteria are taking over the kitchen sink. Right now, there are 375 microbes of bacteria. They double every hour.
Is the function describe above a growth or decay function?
Answer: The function described in this scenario above is a “Growth Function”
Have a nice day!
To graph the inequality y < -5x + 3, you would draw a solid line.
A. True
O B. False
Answer:
A. True
explanation:
Inequalities that use ≤ or ≥ symbols are plotted with a solid line.
A motorboat travels 9 miles downstream (with the current) in 30 minutes. The return trip upstream (against the current) takes 90 minutes.
Given :
A motorboat travels 9 miles downstream (with the current) in 30 minutes.
The return trip upstream (against the current) takes 90 minutes.
To Find :
The speed of stream and motorboat.
Solution :
Let, speed of stream is u and speed of motorboat is v.
Now, we know distance is same in both case.
Distance( downstream ) = speed × time
[tex]9 = ( v +u ) \times 0.5\\\\v + u = 18[/tex]....1)
Distance( upstream ) = speed × time
[tex]9 = ( v- u ) \times 1.5\\\\v-u = 6[/tex]....2)
Solving equation 1 and 2 , we get :
v = 12 miles/hour and u = 6 miles/hour
Hence, this is the required solution.
Answer:
The speed of the stream is 6 mph, and the speed of the boat is 12 mph.
Step-by-step explanation:
Downstream:
9 miles in 30 minutes (0.5 hour).
9 mi / 0.5 h = 18 mph
Upstream:
9 miles in 90 minutes (1.5 h).
9 mi / 1.5 h = 6 mph
Let s = speed of stream.
The speed of the stream adds to the speed of the boat downstream and is subtracted fromt he speed of the boat upstream.
Let speed of boat be b.
b + s = 18
b - s = 6
Add the equations.
2b = 24
b = 12
b + s = 18
12 + s = 18
s = 6
The speed of the stream is 6 mph, and the speed of the boat is 12 mph.
Ellie want to buy new shoes that is in sale for $80. She saved $60. How much more money does she need
Answer:
$20
Step-by-step explanation:
New shoes = $80
What Ellie Saved = $60
80 - 60 = 20
To make sure this is correct simply add 20 to 60.
60 + 20 = 80
Area of square is
a 2(l+b)
b l+b
c l²
d l³
[tex] \huge \huge \huge\square[/tex]
Here All Sides Are Equal So,
Area = side × side= side²
So Assuming Side As 'l'
so, l×l = l²
Option C= l²Hope This Helps You ❤️I just need someone to help me with this, I will give brainilist I just need someone to put these numbers in the correct order!!!!!!!
Answer: I think it’s C
Answer:
A is the correct answer to this problem.
Which pair of events is a dependent event?
A. rolling a 6 on a number cube and then rolling a 1 on the same number cube
B. one girl born on july 29 and another girl born on july 29 next year
C. drawing a purple card from a deck of cards then without replacement drawing another purple card
D. drawing a red button out of a bag of red and white buttons, replacing the button, and then drawing out another red button.
c is the answer
good luck :))))
Solve the inequality 3x - 5 < 4.
x < 3
x > 3
x < 1/3
x > 1/3
Answer:
x < 3
Step-by-step explanation:
Since 3x - 5 < 4 then we can transpose the inequality to make x the subject of the equation:
If 3x - 5 < 4
⇒ 3x < 4 + 5
⇒ x < 9 ÷ 3
⇒ x < 3
Answer:
x<3
Step-by-step explanation:
Find the co-ordinates of a point which divides the line joining the points (-3, 9) and (1, -3) internally in the ratio of 3:1. *
a) (1, 1)
b) (0, 0)
c) (1, 2)
d) (2, 2)
The co-ordinates of a point which divides the line joining the points (-3, 9) and (1, -3) internally in the ratio of 3:1 is , (0,0)
What is a line?The equation of a line is a relationship between x and y coordinates.
Section formula for a point which divides line joining points into m:n ratio,
(X,Y) = { (mx₂+nx₁)/m+n , (my₂+ny₁)/m+n }
Given points,
(-3, 9) and (1, -3)
m:n = 3:1
(X,Y) = { (3×1+ 1×-3)/3+1 , (3×-3 + 1×9 )/ 3+1 )
(X,Y) = (0,0)
Hence, the points will be, (0,0)
To know more about Line check:
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3 x 4 x 25 x c = ?
c = 16
Answer:
4800
Step-by-step explanation:
If c = 16, the equation is:
3 * 4 * 25 * 16 = 4800
i need the answer to this question
Answer:
NO = 10
Step-by-step explanation:
Given a segment joining the midpoints of 2 sides of a triangle, then it is half the length of the third side, that is
18 - 2x = [tex]\frac{1}{2}[/tex] (9x - 16) ( multiply both sides by 2 to clear the fraction )
36 - 4x = 9x - 16 ( add 4x to both sides )
36 = 13x - 16 ( add 16 to both sides )
52 = 13x ( divide both sides by 13 )
4 = x
Then
NO = 18 - 2x = 18 - 2(4) = 18 - 8 = 10
What is the value of this?
Answer:
8
Step-by-step explanation:
4³ ÷ 2³
= 64 ÷ 8
= 8
Which set of numbers shows all the factors of 18?
18, 36, 54, 72, 90
9, 18, 27, 36
1, 3, 6, 18
1, 2, 3, 6, 9, 18
Answer:
last set
Step-by-step explanation:
1 x 18 = 18
2 x 9 = 18
3 x 6 = 18
Answer The last set
:
Step-by-step explanation:
‼️What’s the answer‼️
Answer:
your answer is
Supplementery Angle;X=62
Evaluate 10x2y–2 for x = –1 and y = –2.
A: 5/8
B: 40
C:2 1/2
D:10(2)^0
Step-by-step explanation:
what you typed in here must be wrong or incomplete.
what you typed is (with explicit multiplication symbols to make it clear)
10×x×2×y - 2
for x=-1 and y=-2
that shows then
10×-1 × 2×-2 - 2 = -10 × -4 - 2 = 40 - 2 = 38
but 38 is not in the answer options.
so, there must be something wrong with your problem description.
Solve the equation 3(+4.5)=36
What is the value of x?
Answer:
x=7+1/2
Step-by-step explanation:
We move all terms to the left:
3(x+4.5)-(36.)=0
We add all the numbers together, and all the variables
3(x+4.5)-36=0
We multiply parentheses
3x+13.5-36=0
We add all the numbers together, and all the variables
3x-22.5=0
We move all terms containing x to the left, all other terms to the right
3x=22.5
x=22.5/3
x=7+1/2
HELP DUE SOON!
x = ??
Answer:
x=11
Step-by-step explanation:
Your equation is:
35 = 14x+1-85/2
70=14x-84
154=14x
11=x
Answer:
x = 11Step-by-step explanation:
Angle between tangent and secant is half the difference of intercepted arcs:
(14x + 1 - 85)/2 = 3514x - 84 = 7014x = 154x = 154/14x = 11please answer my question
Answer:
your questions is not complete yet please send full questions and write your question ⁉️ so I will solve your problem
Which pairs of fractions can be added using the given common denominators
Answer:
#2
Step-by-step explanation:
Need help thanks :)
Answer:
Answer 1= 2 square
Answer 2= 33
Many artists incorporate geometric shapes into their art. An artist wants to make a sculpture shaped like a cone with a height of 4.2 inches and a radius of 2.5 inches. The artist needs to know the volume of the sculpture to purchase the correct amount of materials.
Part A. Which equation shows the art is used to calculate the volume of a cone with the given measurements
Part B. What is the volume,in cubic inches,of the cone? Use 3.14 for pie and round your answer to the nearest tenth
Answer:D
Step-by-step explanation:
It’s D
Help please I don’t understand
Answer: 2/3
Step-by-step explanation:
there are 24 pets total (count all of the dots on the plot)
16 students have 2 or more pets (count the dots from point 2 until 6)
your fraction is 16/24
16/24 is 2/3 simplified
hope this helps
The graph shows the proportional relationship between the side lengths of a square and its perimeter. Which equation shows the same relationship between the side length and the perimeter of a square? Perimeter of Square P. 32 28 24 P 15 Perimeter (inches) 20 16 12 P1 8 0 2 4 6 8 Side Length (inches) P 418
Answer:
y=4x
Step-by-step explanation:
Write the equation of linear function
Substitute:
Multiply the monomials:
Rearrange unknown terms to the left side of the equation:
Reduce the greatest common factor on both sides of the equation:
Rearrange unknown terms to the left side of the equation:
Divide both sides of the equation by the coefficient of variable:
Substitute one unknown quantity into the elimination:
Solve the equation: m=4
Write the solution set of the equations:
Substitute: y=4x
Answer: y=4x
Help please!please ASAP
Answer:
y = 3x + 1
Step-by-step explanation:
i really need help plzzz hellppp mehhhh
Answer:
10
Step-by-step explanation:
3+3+2+2=10
Answer:
10
Step-by-step explanation:
count the squares!!
AD = 3
BC = 3
AB = 2
DC = 2
3+3+2+2=10
Multiple Rules (Condense)
You can also use multiple rules at a time to condense
multiple log expressions to one.
2 log(x) +3 log(y) – 4 log(z)
Would condense to which of the following?
2 3
log
4
log
23
log
1,3,4
log(x21324)
Answer:
A
Step-by-step explanation:
Log poperties
Help me please again lol
Option B is your answer
✄--------------
[tex]Min=2[/tex]
[tex]Q1=4[/tex]
[tex]Median=6[/tex]
[tex]Q3=8[/tex]
[tex]Maximum=11[/tex]
❆❆❆❆❆❆❆❆❆❆❆hope it helps..have a great day!!write the answer as a decimal to the nearest tenth
Y=___( look at the image )
can someone help plz
Answer: -1.13
Step-by-step explanation: I counted from -1.1 to -1.15
Set up an equation for the value of x.
Answer:
x = 27
Step-by-step explanation:
∠ GAF = 90° , then
x + 63 = 90 ( subtract 63 from both sides )
x = 27
Answer:
27
Step-by-step explanation:
Angle x and 63 are complementary angles forming 90
Therefore,
90 - 63 = x
27 = x