Answer:
The right solution is "0.15%".
Step-by-step explanation:
The given values are:
Mean,
[tex]\bar{x}=54.82[/tex] $
Standard deviation,
[tex]s = 8.95[/tex] $
[tex]P(X>81.67)[/tex]
Now,
= [tex]P(z>\frac{81.67-\bar{x}}{s} )[/tex]
On substituting the values, we get
= [tex]P(z>\frac{81.67-54.82}{8.95} )[/tex]
= [tex]P(z>\frac{26.85}{8.95})[/tex]
= [tex]P(z>3)[/tex]
By using the table, we get
= [tex]0.0015[/tex]
= [tex]0.15[/tex]%
Which measurement is most likely to be used to determine the diameter of the well cap?
Answer:
B. the second one
Step-by-step explanation:
Factoize those 2 questions using "ac"method must include all steps
Answer:
(2x + 5)(3x - 7), (x + 4)(x - 2)
Step-by-step explanation:
a = 6, b = 1, c = -35
? × ? = ac = 6 × -35 = - (2 × 3 × 7 × 5)
? + ? = b = 1
3 × 5 -(negative sign from above) 2 × 7 = 15 - 14 = 1 = b
[tex]\frac{1}{6}(6x + 15)(6x + (-14))[/tex]
= [tex]\frac{1}{6}(3)(2x + 5)(2)(3x - 7)[/tex]
= [tex](2x + 5)(3x - 7)[/tex]
a = 1, b = 2, c = -8
? × ? = ac = 1 × -8 = -(2 × 2 × 2) = 4 × -2
? + ? = b = 2
4 + (-2) = 2 = b
[tex]\frac{1}{1}(1x + 4)(1x + (-2))[/tex]
= [tex](x + 4)(x - 2)[/tex]
Help!! Can someone explain this to me I’m not getting it.
Answer:
A. 99 sq cm
Step-by-step explanation:
Area of geometric shape
= 2 times the area of one triangle with base a and height c
+ 2 times the area of one triangle with base c and height b
+ Area of rectangle with dimensions a and c.
[tex] = 2 \times \frac{1}{2} ac + 2 \times \frac{1}{2} bc + ac \\ \\ = ac + bc + ac \\ \\ = 2ac + bc \\ \\ = 2(13)(3) + 7(3) \\ \\ = 78 + 21 \\ \\ = 99 \: sq \: cm[/tex]
=============================================================
Explanation:
The rectangular base has area of length*width = a*c = 13*3 = 39 square cm. Let m = 39 since we'll use it later.
The triangles on the left and right sides have an area of base*height/2 = c*b/2 = 3*7/2 = 21/2 = 10.5 sq cm. They combine to an area of 2*10.5 = 21 sq cm. Let n = 21 since we'll use it later.
The triangles in the north and south positions have base 'a' and height 'c', so the area of each is base*height/2 = a*c/2 = 13*3/2 = 39/2 = 19.5 sq cm. That means the two north and south triangles add up to 19.5+19.5 = 39 sq cm. Let p = 39 since we'll use it later.
Overall, we have a total area of m+n+p = 39+21+39 = 99
The area of this flat 2D figure is 99 sq cm. If we folded along the dashed lines, then we'd get a 3D rectangular pyramid that has surface area of 99 sq cm. The surface area is the amount of material along the outside of the 3D figure. Or you can think of it like saying "If we painted all four sides of the 3D pyramid, then we cover 99 cm^2 of area".
The two triangles are similar. Given that a = 7, b = 17, and c = 23, find the value of x. Round your answer to the nearest hundredths place.
pls help for a final! :)
John bought a new car for $22,000. He kept track of the value of the car
over the next three years, as shown in the table below. Which function can
be used to determine the value of the car for x years after the purchase?
1
17 600
N
14080
3
11264
Answer:
what is the options
Step-by-step explanation:
Answer:
Y=2,000(1+2.5)^12
Step-by-step explanation:
Find the area of the shaded region 29.8, 28, 13
The solution is, The area of the shaded region is 112cm^2.
What is area ?Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.
here, we have,
First find the area of the rectangle
A = l*w
= 9*16
= 144
The unshaded area is a trapezoid
A = 1/2 ( b1+b2) *h
= 1/2 ( 5+11) * 4
= 1/2 (16) * 4
=32
The area of the shaded region is
rectangle - trapezoid
144-32
112cm^2
Hence, The solution is, The area of the shaded region is 112cm^2.
To learn more on Area click:
brainly.com/question/20693059
#SPJ3
Dominic had a gross paycheck of $600, 25% of his paycheck was deducted for taxes, then $100 was taken out for insurance. How much was his net paycheck?
Which inequality can be used to represent this scenario?
Mikael needs to rent a scooter to get to work. The scooter charges $1.85 to activate it and $0.50 per mile Mikael has a gift card for
$10 and he can not spend more on the scooter
O 10 < 0.502 +1.85
O 10 < 1.85.1 +0.50
O 10 > 1.852 +0.50
O 10 > 0.503 +1.85
Answer:
[tex]10 > 1.85 + 0.5m[/tex]
Step-by-step explanation:
Price of the scooter:
Fixed price of $1.85 to activate plus $0.50 for each mile. This situation can be represented by a linear function, and it is given by:
[tex]P(m) = 1.85 + 0.5m[/tex]
Mikael has a gift card for $10 and he can not spend more on the scooter.
The spendings have to be less than 10. So
[tex]10 > P(m)[/tex]
[tex]10 > 1.85 + 0.5m[/tex]
Find the volume of a sphere with a diameter of 6 feet. Round your answer to 2 decimal places. [Use pi = 3.14
If using the method of completing the square to solve the quadratic equation x² - 16x - 38 = 0, which number would have to be added to "complete the square"?
Answer:64
Step-by-Step
Image
Find the measure of 0. Round answer to the nearest tenth. Pleas help
Answer:
[tex]\theta=36.43^{\circ}[/tex]
Step-by-step explanation:
Given that,
Base = 42
Perpendicular height = 31
We need to find the value of [tex]\theta[/tex]. It can be calculated using trigonometry as follows :
[tex]\tan\theta=\dfrac{P}{B}\\\\\theta=\tan^{-1}(\dfrac{P}{B})[/tex]
Put all the values,
[tex]\theta=\tan^{-1}(\dfrac{31}{42})\\\\\theta=36.43^{\circ}[/tex]
So, the value of [tex]\theta=36.43^{\circ}[/tex].
Connor made 16 brownies. He put nuts on 6 brownies. Write
the simplified fraction of the brownies that had nuts.
6/16 = 3/8
hope this helps
Solve for
x in the diagram below.
3
x
∘
(x+42)
∘
Answer:
[tex]3x^2+126x[/tex]
Step-by-step explanation:
Solve For X.
3x(x+42)
Ans:
3x(x+42)
Use the distributive property to multiply 3x by x+42.
[tex]3x^2+126x[/tex]
Which of these expression is equivalent to 10^5•10^2?
Also the carrot means to the power of so 10 to the power of 5 etc.
Answer:
The answer is C, E
WILL
GIVE
BRAINLIST
..
.
.
The function of a line is y= 3x + 2. What would the slope of its perpendicular be?
Answer:
-1/3
Step-by-step explanation:
Perpendicular slope=negative reciprocal
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Write the quadratic equation in factored form. Be sure to write the entire equation.
x2 - 5x - 24 = 0
Answer:
2x-5x-24=0
-3x-24=0
-3x=24
x=24/-3
x=-8
Answer:
x=x2-24/5
2 −24
Step-by-step explanation:
x2−5x−24=0
Add 5x to both sides. Anything plus zero gives itself.
x
2
−24=5x
Add 24 to both sides.
x
2
=5x+24
A company rents storage sheds shaped like rectangular prisms. Each shed is 13 feet long and 6 feet wide and 12 feet tall the rental cost is 4$ per cubic foot how much does it cost to rent one shed
Answer:
It costs $3,744 to rent one shed.
Step-by-step explanation:
Given that a company rents storage sheds shaped like rectangular prisms, and each shed is 13 feet long and 6 feet wide and 12 feet tall, and the rental cost is 4 $ per cubic foot, to determine how much does it cost to rent one shed The following calculation must be carried out, knowing that the volume of a rectangular prism is obtained by multiplying its length by its width and its height:
(13 x 6 x 12) x 4 = X
(78 x 12) x 4 = X
936 x 4 = X
3.744 = X
Therefore, it costs $ 3,744 to rent one shed.
Helppp PLEASEEEE!!!!!! !!!
Answer:
-3hf
Step-by-step explanation:
An average of 40 cars per hour arrive to be painted at a single-server GM painting facility. 95% of the cars require 1 minute to paint; 5% must be painted twice and require 2.5 minutes to paint. Assume that interarrival times are exponential.
a. On the average, how long does a car wait before being painted?
b. If cars never had to be repainted, how would your answer to part (a) change?
Answer:
2.719 minutes
Step-by-step explanation:
Step 1 :
We have to consider using the M/G/I /GD /∞/∞ Queuing system with the rate of arrival λ and the rate of service μ.
Since average of 40 cars arrive every hour at the painting facility, it follows that:
Arrival rate λ = 40cars /hour
= 40/60 cars/hour
=2/3 cars/hour
More, we were told that 95% of the cars require 1 minute to paint, 5% must be painted twice and require 2.5 minutes to paint, therefore, the average time to paint a car is given by
95/100x1 + 5/100 x 2.5 = 19/20 + 1/8 = 43/40min
It follows that:
Service rates μ = 40/43cars/min
A multiple choice test contains questions
with four options each: A, B, C, or D. If
Natalie randomly guesses on the last three
questions, what is the probability that she
gets all three correct?
Answer:
Probability of getting all three correct answer = [tex]\frac{1}{64}[/tex]
Step-by-step explanation:
Given - A multiple choice test contains questions with four options each: A, B, C, or D. If Natalie randomly guesses on the last three questions.
To find - what is the probability that she gets all three correct.
Proof -
Given that, question has 4 options.
And 1 option can be correct,
Let
x be that Natalie gives correct answer.
So,
Probability of getting, correct answer, P(x) = [tex]\frac{1}{4}[/tex]
So,
Probability of getting, incorrect answer, P(x') = 1 - [tex]\frac{1}{4}[/tex] = [tex]\frac{3}{4}[/tex]
Now,
Given that, she guess the 3 questions.
All correct means,
first, second, third question answer is correct.
So,
Probability of getting all three correct answer = [tex]\frac{1}{4}[/tex]×[tex]\frac{1}{4}[/tex]×[tex]\frac{1}{4}[/tex] = [tex]\frac{1}{64}[/tex]
A home decor store donated a percent of every sale to charity. The total sales were $6,400 so the store donated $256. What percent of $6,400 was donated to charity?
to solve an equation with a variable which of the following are done? the value of the variable should be guest first inverse operation are used the variable needs to be isolated addition is always used select all that apply.
9514 1404 393
Answer:
inverse operation are used the variable needs to be isolatedStep-by-step explanation:
A solution is always of the form ...
variable = something
In order to get this form, the variable needs to be isolated (put by itself on one side of the equal sign).
In general, isolating the variable involves using inverse operations to "undo" whatever is done to the variable. These are generally applied in the reverse order of the operations that are done to the variable. The list of operations done and their order can be identified using the Order of Operations to consider how an equation would be evaluated for some value of the variable.
5 pennies as a fraction
Answer:
5/100
Step-by-step explanation:
each penny = 1/100
5(x+1)=4(x-1)+x
What is x?
Answer:
There isn't an answer.
Step-by-step explanation:
5(x+1) = 4(x-1) + x
5x + 5 = 4x - 4 + x
5x +5 = 5x -4
0 = -9
no x, so no answer.
A system of equations is created by using the line represented by2x+4y=0And the line represented by the data in the table below
What is the X value of the solution to the system if x -1 and y is 8
Answer:
x = 2
Step-by-step explanation:
From the data, we obtain the slope :
-1, 8 ; 3, - 4
Slope = Rise / run
Rise = y2 - y1 = (-4 - 8) = - 12
Run = x2 - x1 = (3 - (-1)) = 4
Slope, m = - 12 / 4 = - 3
Recall:
Equation of line :
y - y1 = m(x - x1)
y - 8 = - 3(x + 1)
y - 8 = - 3x - 3
y = - 3x - 3 + 8
y = - 3x + 5
Substituting y = - 3x + 5 into the equation 2x+4y= 0
2x + 4(-3x + 5) = 0
2x - 12x + 20 = 0
-10x = - 20
x = 2
PLssssssssssssss help..
Answer:
141.4
Step-by-step explanation:
i think
Mandy and Jordan each bought some of the same notebook and the same three-ring
binder. Mandy paid $11.20 for 2 notebooks and 2 binders. Jordan paid $10.50 for 3
notebooks and 1 binder. What is the price of one of the notebooks?
Answer:
$11.20 + 2 = 1122 1050 +3 = 1053 hope this help .
please help asap!!!!!!
Answer:
m<A = 107
m<B = 73
m<C = 107
m<D = 73
Step-by-step explanation:
2(4x + 1) + 2(5x + 17) = 360
8x + 2 + 10x + 34 = 360
18x + 36 = 360
18x = 324
x = 18
4x + 1
4(18) + 1
73
5x + 17
5(18) + 17
107
Write an equation of a line that has a slope of 1 and
goes through the point (6,8).
Plllzzz hellp
9514 1404 393
Answer:
y = x + 2
Step-by-step explanation:
The slope-intercept form equation is ...
y = mx + b . . . . . . slope m, y-intercept b
We are given the slope, so we only need to find the y-intercept. When we solve for b, we find ...
y - mx = b . . . . . . subtract mx
8 - 1(6) = b = 2 . . . . fill in given values of (x, y) and m
Then the equation of the line is ...
y = x +2