The correct answer is A. 0.84
The value of P(X<53) is 0.84 if the Z = 1 and normal distribution has a mean of 50 and a standard deviation of 3 option (A) is correct.
What is a normal distribution?It's the probability curve of a continuous distribution that's most likely symmetric around the mean. On the Z curve, at Z=0, the chance is 50-50. A bell-shaped curve is another name for it.
We know,
[tex]\rm Z = \dfrac{X-\mu}{SD}[/tex]
X = 53, μ = 50, and SD = 3
[tex]\rm Z = \dfrac{53-50}{3}[/tex]
Z = 1
From the Z table.
The value of P(X<53) = 0.84
Thus, the value of P(X<53) is 0.84 if the Z = 1 and normal distribution has a mean of 50 and a standard deviation of 3 option (A) is correct.
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Brianna measures the temperature of two chemical samples. If the first sample measures -8 degrees Celsius and the second sample measures 24 degrees Celsius, what is the average temperature of the two samples? *
Answer: + 8 degrees
Step-by-step explanation: average (-8+24)/2= 16/2 degrees
Gina will pay $14 for fabric at a crafting store. The tax rate is 8.5%. How much will she pay for her fabric including tax?
Answer:
$15.19
Step-by-step explanation:
8.5% = 0.085
0.085 x 14 = $1.19
1.19+14= $15.19
Which table matches with the linear equation y = - 2x - 3?
X-
20
-1-3
35
0-8
X-2-1
y 1-1-5
4
-11
2
X-4-1
y 1-2 3
-5
X
-503 6
2 -3 -6-9
y
Answer:
b
Step-by-step explanation:
How would you write the equation with a slope of 2/3 and a y-intercept of -3 in slope- intercept form
y=2/3x-2
Explanation:
The equation of a line can be written as y=mx+c
m=slope and c = y-intercept
The point at the x−intercept has coordinates (-3,0)
In y=mx+c
0=2/3(3)+c
0=2+c
-2=c
The equation is y=2/3x-2
Answer:
[tex] y = \frac{2}{3} x - 3[/tex]
Step-by-step explanation:
Slope (m) = 2/3
y-intercept (b) = - 3
Equation of line in slope intercept form is given as:
[tex] y = mx + b[/tex]
Plug the values of m and b in the above equation, we find:
[tex]y = \frac{2}{3} x + ( - 3) \\ \\ y = \frac{2}{3} x - 3[/tex]
Help Please!! Struggling with this for a while
Answer:
Area of triangle ABC = 6 square units
Step-by-step explanation:
By applying Pythagoras theorem in right triangle ADC,
AC² = AD² + CD²
3² = (1.8)² + CD²
9 - 3.24 = CD²
CD = √5.76
CD = 2.4 units
By applying mean ratio theorem,
[tex]\frac{AD}{CD}=\frac{CD}{DB}[/tex]
CD² = AD × DB
(2.4)² = 1.8 × DB
DB = [tex]\frac{5.76}{1.8}[/tex]
DB = 3.2 units
AB = AD + DB
AB = 1.8 + 3.2
AB = 5 units
Since, area of a triangle ABC = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}(\text{AB})(\text{CD})[/tex]
= [tex]\frac{1}{2}(5)(2.4)[/tex]
= 6 square units
Line A contains the points (– 6, – 3) and (– 2, – 1). Line B contains the points (8, 2) and (12, 4).
How many solutions does the system of equations have?
Answer:
One Answer
Step-by-step explanation:
Take two points like (8,2) and (12,4) and do y2-y1/x2-x1.
4-2/12-8 = 4/2 = 2.
Then that another point and plug it in to the equation, y = 2x + b.
i will use (8,2). 2 = 2(8)+b. solve this and you get b= -14.
now you found your answer. y=2x + -14.
What is the width of a rectangle with a length of 3/8 ft and and area of
4 square feet?
Which expression is equivalent to 1/5(150x - 80y + 50 - 50x - 25y + 20)?
Answer:
20x - 21y + 14
1/5(150x - 80y + 50 -50x - 25y + 20)
30x -16y + 10 - 10x - 5y + 4
30x -10x -16y - 5y + 10 + 4
20x -21y + 14
Answer:
20x-21y+14
Step-by-step explanation:
add up like terms and divide them by 5
Plz need helppp Quick !!!!!!!
Step-by-step explanation:
A. 1 cup of blue rate for 3/5 cup of red paint
B. 1 cup of flour for 2.5 muffins
C. r = d/t = 420 miles/7 hours = 60 miles per hour.
D. 48/3 = $16 for every hour
E. $15/6 = $2.5 for every hot dog
A company is going to make an oil container in the shape of a cylinder. As shown below, the container will have a height of 6m and a diameter of 6m. The container will be made from steel (including its top and bottom). If the steel costs $27 for each square meter, how much will the steel cost in total? If necessary, refer to the list of geometry formulas. For your calculations, do not round any intermediate steps, and use the π button on the ALEKS calculator. Round your answer to the nearest cent
Answer:
The cost of required steel is [tex]169.56 *27 = 4578.12[/tex] dollars
Step-by-step explanation:
The surface area of cylinder will be equivalent to the area of the steel sheet.
Surface area of cylinder [tex]= 2\pi rh+2\pi r^2[/tex]
Substituting the given values we get
Surface area of cylinder
[tex]= 2*3.14*3*6 + 2*3.14 *3^2\\= 169.56[/tex]square meter
Cost of 1 square meter of steel is $27
Then, the cost of required steel is
[tex]169.56 *27 = 4578.12[/tex] dollars
The coordinates of the following points represent the vertices of a rectangle. E: (4,2) F: (10,2) G: (10,8) H: (4,8) What is the perimeter, in units, of rectangle EFGH?
Answer:
Perimeter of rectangle EFGH = 24 unit
Step-by-step explanation:
Given:
E: (4,2)
F: (10,2)
G: (10,8)
H: (4,8)
Find:
Perimeter of rectangle EFGH
Computation:
Distance = √(x1 - x2)² + (y1 - y2)²
Distance between EF = √(4 - 10)² + (2 - 2)²
Distance between EF = √36
Distance between EF = 6units
Distance between FG = √(10 - 10)² + (2 - 8)²
Distance between FG = √36
Distance between FG = 6 units
Distance between GH = √(10 - 4)² + (8 - 8)²
Distance between GH = √36
Distance between GH = 6 units
Distance between HE = √(4 - 4)² + (8 - 2)²
Distance between HE = √36
Distance between HE = 6 units
Perimeter of rectangle EFGH = 6 + 6 + 6 + 6
Perimeter of rectangle EFGH = 24 unit
Evaluate (a3)4
What is the answer please?
Answer: -3 to the fourth power means we are multiplying -3 four times. Hence answer is 81 and not -81
Step-by-step explanation:
E = (2a + 3b + 2) + (3a + 5b - 1) + (2a - 2b)
Answer:
7a+6b+1
...............
Answer:
7a+6b+1
Step-by-step explanation:
2a+3b+2+3a+5b-1+2a-2b=7a+6b+1
Combine like termsUse this fact:(+)×(+)=+ (-)×(-)=+
(+)×(-)=- (-)×(+)=-
A 3 foot wide painting should be centered on 13 foot wide wall how many feet should be on each side of the painting
Answer:
5 feet of wall should be on each side of the painting.
Step-by-step explanation:
Given that a 3 foot wide painting should be centered on 13 foot wide wall, to determine how many feet should be on each side of the painting, the following calculations must be performed:
(13 - 3) / 2 = X
10/2 = X
5 = X
Therefore, 5 feet of wall should be on each side of the painting.
Please help. I NEED GOOD GRADES
Answer:
The circle should be open and the arrow should go the other way.
Which histogram correctly displays the information above
Answer: The answer is c
multiplying and simplify radicals!
if u get it right I’ll give brainliest (show math pls!!!)
I would rlly appreciate it if y’all help me! :)
Answer:
≈ 107.33...
Step-by-step explanation:
2 [tex]\sqrt{12}[/tex] x 4[tex]\sqrt{15}[/tex] = 8 [tex]\sqrt{12 *15}[/tex] ≈ 8 x 13.41.. ≈ 107.33...
Jana wants to buy a shirt at the store. The shirt is normally $24, but today it is on sale for 15% off.
How much will she save?
Answer:
She will save $3.60
Step-by-step explanation:
10% of 24= 2.4
5% of 24 = 1.2
2.4 + 1.2= 3.6
This means she is saving $3.60 because 15% of $24 is $3.60! :)
Jana save $3.6 to buy a shirt.
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
Given that;
The shirt is normally $24, but today it is on sale for 15% off.
Now,
Since, The shirt is normally $24, but today it is on sale for 15% off.
Hence, The save money = 15% of 24
= 15/100 × 24
= $3.6
Thus, She save $3.6 on the shirt.
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PLZZZZZZ IL do anything give brainilest 5 star i'll like My grade depends on this PLEASE I NEED THIS TO BE CORRECT AND SHOW YOUR WORK PLZ NO TROLLSSSS PLZZZZ ANSWER CORRECT
Answer:
$195.00
Step-by-step explanation:
perimeter is 54 feet
area is 152 [tex]ft^{2}[/tex]
54' * $1.50 = $81.00
152/8 = 19 bags of mulch needed
19*$6.00= $114.00
$195.00 you get away from the store for under 200 :P
P.S. since you said you'll do anything, send me $1,000,000.00 dollars :D
answer all of them please
easy math questions for 20 points
Plz write/type the answers, I pray u can help
The coordinates of D are
Answer:
The coordinates of D are -1,0
Step-by-step explanation:
I believe
PLEASE HELP ME PLEASE MAX POINTS
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answer my other question, please! ^^
Answer:
I did the first one
Step-by-step explanation:
Hope I did it right
A zoo has 15 toucans and 75 parrots What is the ratio of the number of toucans to the number or parrots in the zoo
Answer:
Since there is 15 toucans and 75 parrots the ratio would be written as
15/75
Step-by-step explanation:
As of 15 to 75. Then write out with a colon between the too! 15:75
Hope this helped and have a wonderful day!! <33
What is the area?
4.6 yd
7.7 yd
Answer:
A = 35.42 yd²
Step-by-step explanation:
We need to find the area if the dimensions are given as 4.6 yd and 7.7 yd.
The area of a rectangle shaped figure is given by :
A = lb
Where
l is length and b is the breadth
So, put all the values,
A = (4.6)(7.7)
= 35.42 yd²
So, the area of the figure is equal to 35.42 yd².
Kelko wrapped 20 gifts. Keiko wrapped 4 times as many gifts as Henry. Let be the number of gifts that Henry wrapped.
(a) Write an equation that relates the number of gifts that they wrapped.
Use 4, 20, and n.
(b) Find n.
2
Answer:
20 = 4n
n = 5
Step-by-step explanation:
Given that :
Number of gifts Keiko wrapped = 20
Let number of gifts wrapped by Henry = n
Keiko wrapped 4 times as many gifts as Henry
Hence,
20 = 4n
The equation that relates the number of gifts wrapped is :
20 = 4n
To obtain n ;
Divide both sides by 4 to isolate n
20/ 4 = 4n / 4
5 = n
Hence,
n = 5
ahhhh I see now yes I do
Answer: yes
Step-by-step explanation: so smart I think
Find the length of the missing side of the right triangle shown.
Answer:
17
Step-by-step explanation:
15^2 + 8^2 = 225 + 64 = 289
[tex] \sqrt{289} [/tex]=17
1. find the greatest mass
that can be taken on exact
number of times from 360g
504g, and 672 g
Answer:
72g
Step-by-step explanation:
I hope it's right I figured it out by common factor
Six scatterplots are shown. Suppose regression lines were generated for them, then order their correlation coefficients from least to greatest.
A) C, D, B, A, E, F
B) F, E, D, C, B, A
C) C, B, D, E, A, F
D) A, B, C, D, E, F
Answer:
C) C, B, D, E, A, F
Step-by-step explanation:
The closer the data points are to each other along the line of best fit on a scatter plot, the greater the correlation coefficient and vice versa.
Therefore, the scatter plot that has the least correlation coefficient would be the scatter plot with the data points that are farther apart from each other along the line of best fit which is C, followed by B, D, E, A, and F.