Using the normal distribution, it is found that there is a 0.0228 = 2.28% probability that X will be smaller than 80.
Normal Probability DistributionIn a normal distribution 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]
It 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, which is the percentile of X.In this problem:
The mean is of [tex]\mu = 100[/tex].The standard deviation is of [tex]\sigma = 10[/tex].The probability that X will be smaller than 80 is the p-value of Z when X = 80, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{80 - 100}{10}[/tex]
[tex]Z = -2[/tex]
[tex]Z = -2[/tex] has a p-value of 0.0228.
0.0228 = 2.28% probability that X will be smaller than 80.
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Choose the equation of the line in slope-intercept form.
Perpendicular to the X-axis and has the point (3,4)
A. y = 3
B. y = 4
C. x = 3
D. x = 4
Answer:
C) x = 3
Step-by-step explanation:
Equation of a line in slope-intercept form: y = mx + b
(where m is the slope (gradient) and b is the y-intercept)
If the line is perpendicular to the x-axis, the line will be parallel to the y-axis (vertical). We are told that the line passes through point (3, 4). Therefore, the line will never intercept the y-axis and so the y-intercept is zero. Also, all the values of x = 3
So the equation of the line is: x = 3
• Riley and her sister collect stickers. Riley has 220 stickers
in her sticker collection. Her sister has 55 stickers in her
collection. Riley has how many times as many stickers as
her sister? Use mental math or the guess, check, and
revise strategy to solve the equation 55x = 220.
Answer:
Riley has 4 times the amount of stickers her sister has
Step-by-step explanation:
220 divided by 55 is 4
a submarine is 75 m below the surface of the sea.it than rises. y 21m.how far below the surface is it now
The submarine is about 54 meters below the surface.
EquationAn equation is an expression that shows the relationship between two or more numbers and variables.
Let y represent the height of the submarine. Hence:
y = -75 + 21 = 54 meters
The submarine is about 54 meters below the surface.
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Lura’s chocolate bar is 71% cacoa. If the weight of the chocolate bar is 58 grams, how many grams of cocoa does it contain? Round your answer to the neares
tenth
I need help again!! Please hurry!!
Answer:
Given that angle DGC is 90 degrees and is vertical to AGB, they both are congruent so they will both have the same degrees.
So now we know angle AGB is 90 degrees
Angle AGE is 30 degrees, and in total all the angles would be equal to 180 degrees.
Now we just solve for x,
30 + 90 + x = 180
120 + x = 180
-120 -120
x = 60
i dont know how to do this so hElp
Answer:
3.5× c20
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Can I get the answer to this? Thank you!
Help please please!!!!!!!
Answer:
I'll do the first one as an example. The answer of the first one is 6.
Step-by-step explanation:
In the first example, they multiplied the number by 2 to get a common denominator for the two fractions so you can easily add. So, the first box will come 10 (5 times 2) and the second box will become 2 (1 times 2). Then simply add the fractions. The sum of the first question is 2. Because 2 10/12 + 3 2/12 = 6. Remember to add only the whole numbers and fractions. If you want, you can try using mathaway for additional help.
Hope this helps a little more.
need help!?!!! pls thx
find the domain and range
answer correctly
Answer:
Domain: all real numbers
Range : y ≤ 2
Step-by-step explanation:
Domain : the set of possible x-values
Range : the set of y-values
From inspection of the graph:
Domain : all real numbers (no restriction)Range : y ≤ 2 (greatest value of y is 2)Please help me understand how to do this because I don't understand.
Answer:
(4, 360)cost of repair in either shop is 360 for 4 hours workAmy's is cheaper for 3 hours. $280Step-by-step explanation:
1.Each of the given equations describes a line on a graph. There are numerous ways to find the values of x and y that will satisfy both equations at the same time. Two of them you have seen are "substitution" and "elimination." Here, "substitution" is easily accomplished by equating one expression for y to the other expression for y:
y = y
100 +65x = 40 +80x . . . substitute for y
60 +65x = 80x . . . . . . . subtract 40 from both sides
60 = 15x . . . . . . . . . . . . subtract 65x from both sides
4 = x . . . . . . . . . . . . . . divide both sides by 15
y = 40 +80x = 40 +80(4) = 360 . . . . find the value of y
The values of x and y that satisfy both equations are ...
(x, y) = (4, 360)
__
2.The point (4, 360) is on both lines. That is the point where the lines intersect. It means 4 hours work will cost $360 in either shop.
__
3.The time of 4 hours that we found above is the "break-even" or "crossover" point in the cost equations. For times below that point, the lowest cost comes because of the lowest "service charge". For times above that point, the lowest cost comes because of the lowest per-hour charge.
3 hours is less than 4 hours, so the shop with the lowest service charge will have a lower cost. That is Amy's shop. Her price for 3 hours is ...
40 +80(3) = 40 +240 = $280 . . . for 3 hours work in Amy's shop
__
If you want to make sure of that, you can find the cost in Mike's shop:
y = 100 +65(3) = 100 +195 = $295 . . . for 3 hours in Mike's shop
The length of three snakes exhibited and the zoos reptile house are labeled. The king snake is 65 inches. The Easter diamondback rattlesnake is 2 yards. The ridge nosed rattlesnake is 4 feet. Which statement correctly compares the length of the snakes?
A. The king snake is the longest snake.
B. The ridge nosed rattlesnake is longer than the eastern diamondback rattlesnake.
C. The eastern diamondback rattlesnake is the longest snake.
D. The eastern diamondback rattlesnake is shorter than a king snake.
Answer:
C
Step-by-step explanation:
King Snake: 65 inches / 12 inches per foot = about 5.4 feet long
Eastern Diamondback Rattlesnake: 2 yards * 3 feet per yard = 6 feet long
Ridge Nosed Rattlesnake: 4 feet long
Therefore, the eastern diamondback rattlesnake is the longest snake.
7 pounds of plums make 8 rolls of fruit leather. If every batch of fruit leather requires the
same amount of plums, how many pounds of plums are required to make 20 rolls of fruit
leather?
Answer: 17.5 lbs of plums are required to make 20 rolls of fruit leather.
Step-by-step explanation:
Since 7 lbs of plums yield 8 rolls of fruit leather, 1 lb will yield 1 1/7 rolls of fruit leather.
To find how many pounds of fruit will yield 20 rolls of fruit leather, divide how many rolls of leather you want to get by how many rolls of leather one pound will yield.
20 divided by 8/7 equals 17 1/2.
Sofia's poster is 0.75 meters long. Rafael's poster is 0.35 meters less than 1 meter long.
What expression would show the difference in the lengths of the posters?
Answer:
Length of Sofia's poster: 0.75 m
Length of Rafael's poster: 0.65 m
Difference: 0.75m - 0.65m
= 0.1 m
Hope this is correct
Mark as Brainliest please
Alissa ownes a lovely country store. She buys 6 jars of honey for $65 and then sells 5 jars for $72. How many jars would Alissa have to buy and then sell to make a profit of $214?
60 or y=4×+6
Step-by-step explanation:
we have been given the equation;
2(2x + 3) = -4 + 2(2x + 5)
we need to determine the value of x.
2(2x + 3), we expand this expression to obtain 4x + 6
similarly 2(2x + 5) will become 4x + 10
now we have;
4x + 6 = -4 + 4x + 10
4x + 6 = 4x + 10 - 4
4x + 6 = 4x + 6
the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;
y = 4x + 6
consequently, we shall have infinitely many solution.
Quadrilateral ABCD is inscribed in a circle. Find the measure of each of the angles of the Quadrilateral. Show your work. ( Please do not repaste another students answer on brianly or another other websites). Only answer if your 100% correct and you'll get Brainliest .
Answer:
A = 92°
B = 100°
C = 88°
D = 80°
Step-by-step explanation:
Cyclic quadrilateral : a quadrilateral drawn inside (inscribed) a circle.
The opposite angles in a cyclic quadrilateral add up to 180°.
Therefore, A + C = 180° and B + D = 180°
If A + C = 180° , then
⇒ (x + 2) + (x - 2) = 180
⇒ x + 2 + x - 2 = 180
⇒ 2x = 180
⇒ x = 90°
Therefore,
A = x + 2 = 90 + 2 = 92°
C = x - 2 = 90 - 2 = 88°
D = x - 10 = 90 - 10 = 80°
B = 180 - D = 180 - 80 = 100°
Mahra walks 5/8 of a kilometer to school. Mariam walks 3/8 of a kilometer to school.
How much farther does Mahra walk than Mariam?
Answer:
2/8 farther than Mariam
Step-by-step explanation
mahra walks 5/8 km
Mariam walks 3/8 km
therefore, to know how many km mahra walks farther than mariam.
5/8-3/8
if the original quantity is 460 and the new quantity is 600 , what is the percent increase
Graph the data.
Find and interpret the slope of the line through the points.
PLZ HELP ILL MARK AS BRAINLIETS
Answer:
45ft²
Step-by-step explanation:
4 [ 2(6ft × 1.5ft) ÷ 2 ] + ( 3ft × 3ft )
= 4 [ 2(9) ÷ 2 ] + ( 3ft × 3ft )
= 4 [ 18 ÷ 2 ] + ( 3ft × 3ft )
= 4 ( 9 ) + ( 9 )
= 36 + 9
= 45ft
Can u give me the answer
the wheels on a truck are turning at 630 revolutions per minute as the truck travels at 50 miles per hour. What is the radius, in inches, of the wheels of the truck
The radius of the wheel is 140.06 inches
Since the wheels on a truck are turning at 630 revolutions per minute as the truck travels at 50 miles per hour, we need to find the distance mover per revolution.
Distance moved per revolution by wheelSo, distance moved per revolution = speed of truck ÷ revolutions per minute
Speed of truck = 50 miles per hour
Converting to inches per min, we have
= 50 × 63360 in/hr ÷ 1 hr/60 min
= 3168000 in/60 min
= 52800 in/min
revolutions per min = 60 rev/min
So, substituting the variables into the equation, we have
distance moved per revolution = 52800 in/min ÷ 60 rev/min
= 880 in/rev
Circumference of the wheelSince the distance moved per revolution is the circumference of the wheel, C we have that
C = 2πr where r = radius of wheel
Radius of the wheelMaking r subject of the formula, we have
r = C/2π
Since C = 880 in
Substituting the value of the variable into the equation, we have
r = C/2π
r = 880 in/2π
r = 440 in/π
r = 140.06 in
So, the radius of the wheel is 140.06 inches
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Determine the constant rate of change (slope) of the linear function.
The car, originally valued at $12,975, has been decreasing in value at a constant rate over the past seven years. It is now worth $8600.
Explain what it means in this context.
The change in value (in dollars) will be (x) times as great as the change in the car's age (in years)
Answer:
y = 12975 - 625xStep-by-step explanation:
The ordered pairs are:
(0, 12975) and (7, 8600)Find the slope:
(8600 - 12975)/7 = -625It means the drop in price is $625 each year.
The equation to reflect this situation is:
y = 12975 - 625x18. What is the surface area of a sphere with a radius of 6 meters rounded to the nearest square meter? 226 m- D 905 m 113 m- 50 m
Answer:
452 m^2
Step-by-step explanation:
Formula
A=4πr^2
4·π·6^2≈452.38934
Y=max+b
Write an equation of the linear function
Answer:
Answer: Equation is y = ½x + 3
Step-by-step explanation:
Consider points (4,5) and (0,3)
» General linear equation:
[tex]{ \tt{y = mx + b}}[/tex]
m is the slopeb is y-interceptSlope (m):
[tex]{ \tt{m = \frac{(5 - 3)}{(4 - 0)} }} \\ \\ { \tt{m = \frac{2}{4} = \frac{1}{2} }}[/tex]
slope = ½
y-intercept (c):
[tex]{ \tt{y = \frac{1}{2}x + c }}[/tex]
» Consider point (0,3):
[tex] { \tt{3 = ( \frac{1}{2} \times 0) + c}} \\ \\ { \tt{c = 3}}[/tex]
» Equation:
[tex]{ \boxed{ \tt{y = \frac{1}{2}x + 3 }}}[/tex]
PLEASE SHOW WORK I WILL GIVE BRAINLY Kira's skateboard is 71 centimeters long. What is the length of her skateboard in millimeters? SHOW YOUR WORK PLEASE
Answer:710
Step-by-step explanation:
1 centimeter is 10 millimeters so 71 times 10 is 710
Answer:
710mm
Step-by-step explanation:
1 centimeter is equal to 10 millimeters:
[tex]1cm=10mm[/tex]
The distance d in millimeters (mm) is equal to the distance d in centimeters (cm) times 10:
[tex]d_{mm} =d_{cm}*10[/tex]
71cm × 10
= 710mm
help PLEASEEEE
Given that Segment BE is 5 units, find the indicated measures for Angle 1, Angle 2, Segment AC, Segment AD.
Answer:
Segment AC = 10 units
segment AD =
angle 1 = 45°
angle 2 = 90°
AE = BE = CE = DE = 5
SEGMENT AC = AE + CE
= 5 + 5
= 10 UNITS
SEGMENT AD = 5² + 5²
= √50
= 7.071
= 7 UNITS
ANGLE 1 = 90° ÷ 2
= 45°
ANGLE 2 = 360° ÷ 4 / 180° ÷ 2
= 90°
How to find value p and q
Answer: (p, q) = (3, 2)
Step-by-step explanation:
So we get that g(f(x)) = p(1-x)^2 + q = p(x^2 - 2x + 1)+q = px^2 - 2px + p+q.
Matching coefficients, we get that p=3, -2p=-6, and p+q=5.
It follows that p=3 and q=2.
what is NE? Enter your answer in the box
What is the solution to the equation below. square root x - 6 = x - 12
[tex]\\ \rm\hookrightarrow \sqrt{x-6}=x-12[/tex]
[tex]\\ \rm\hookrightarrow x-6=(x-12)^2[/tex]
[tex]\\ \rm\hookrightarrow x-6=x^2-24x+144[/tex]
[tex]\\ \rm\hookrightarrow x^2-25x+150=0[/tex]
[tex]\\ \rm\hookrightarrow x^2-10x-15x+150=0[/tex]
[tex]\\ \rm\hookrightarrow (x-10)(x-15)=0[/tex]
[tex]\\ \rm\hookrightarrow x=15\:or \:10[/tex]
Answer:
[tex]x = 15,10[/tex] || C and D is the correct choices.
Step-by-step explanation:
[tex]\sqrt{x-6}=x-12[/tex]
[tex]x-6 =(x-12)^2[/tex]
[tex]x-6 = x^2 -24x +144[/tex]
[tex]x^2 -24x -x +144 +6 = 0[/tex]
[tex]x^2 - 25x + 150= 0[/tex]
[tex]x^2 -15x -10x +150=0[/tex]
[tex]x(x-15)-10(x-15)=0[/tex]
[tex](x-15)(x-10) = 0[/tex]
[tex]x = 15,10[/tex]