Step-by-step explanation:
10 is less than 10.01
10.01-10=0.01
10 is 0.01 less than 10.01
So, 10 is less than 10.01.
Hope it helps you!!
Find the values of the UCL and LCL for the (x-bar) chart for this data, and round your answers to 3 places after the decimal point. a. UCL
Full question attached
Answer:
UCL for x bar chart=7.145
LCL for x bar chart=4.874
Explanation:
Please find answer attached
I need this quick, anyone got the answer?
Answer:
C
Step-by-step explanation:
So we have a cylinder with a hole the shape of a rectangular prism through it.
Therefore, our total volume would be the cylinder minus the volume of the rectangular prism.
The volume of a cylinder is given by the formula:
[tex]V=\pi r^2h[/tex]
Use 3.14 for π, 10 for radius, and 15 for the height. Thus:
[tex]V=(3.14)(10)^2(15)\\V=4710[/tex]
So the volume of the cylinder is 4710 cubic feet.
Now, find the volume of the rectangular prism.
The formula for the volume of a rectangular prism is given by:
[tex]V=lwh[/tex]
The length is 5, width is 3, and height is 15. Thus:
[tex]V=(5)(3)(15)\\V=225[/tex]
So, the total volume is:
[tex]V_{\text{Total}}=V_{\text{Cylinder}}-V_{\text{Rectangle}}\\V_{\text{Total}}=4710-225=4485\text{ feet}^3[/tex]
Our answer is C
Translate the English phrase into an algebraic expression: the sum of 17y² and 19.
Answer:
17y^2+19
Step-by-step explanation:
sum means add
Answer:
19+ 17y²
Step-by-step explanation:
What are integers between -8 and 2 not inclusive?? Please help me
All numbers between -8 and 2 are integers except 0
All the integers between - 8 and 2 are,
{- 7, - 6, - 5, - 4, - 3, - 2, - 1, 1 }.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The numbers is,
⇒ - 8 and 2
Now, All the numbers between - 8 and 2 are,
⇒ - 7, - 6, - 5, - 4, - 3, - 2, - 1, 1
Thus, All the integers between - 8 and 2 are,
{- 7, - 6, - 5, - 4, - 3, - 2, - 1, 1 }.
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ2
Travis's income is $2300 a month, and he plans to budget 3/7 of his income for savings and 1/10 of his income for entertainment. What fraction of his income does he plan to spend each month on these two items together? Express your answer in lowest terms. Please explain how you did it
Step-by-step explanation:
2,300×3÷7=985.71 The amount of money saved
2300×1÷10=230the amount of entertainment
985.71+230=1215.71 total
1215.71÷2300=0.5285 Entertainment money + reserve money ÷ total money
The income that he plan to spend each month on these two items together is 0.5285.
What is a fraction?A fraction represents a part of a number or any number of equal parts.
Given; Travis's income is $2300 a month, and he plans to budget 3/7 of his income for savings and 1/10 of his income for entertainment.
We need to find the income that he plan to spend each month on these two items together.
The amount of money saved;
2,300×3÷7 = 985.71
The amount of entertainment;
2300×1÷10=230
The total 985.71 + 230 = 1215.71
Now, Entertainment money + reserve money ÷ total money
1215.71÷2300 = 0.5285
The income that he plan to spend each month on these two items together is 0.5285.
Learn more about fraction;
https://brainly.com/question/729654
#SPJ2
A right rectangular prism has a length of 10 centimeters, a width of 2.5 centimeters and a height of 0.9 centimeters what is the wolume of the rectangular prism?
Answer:
22.5 cm3
Step-by-step explanation: i took thy test
The volume of the rectangular prism is 22.5 cm³
What is a Rectangular Prism?A rectangular prism is a three-dimensional shape, that has six faces (two at the top and bottom and four are lateral faces). All the faces of the prism are rectangular in shape. Hence, there are three pairs of identical faces here. Due to its shape, a rectangular prism is also called a cuboid.
Given here A right rectangular prism has a length of 10 centimeters, a width of 2.5 centimeters and a height of 0.9 centimeters.
Now we know the volume of the rectangular prism is given by
The volume of a rectangular prism = Length x Width x Height cubic units.
∴ V= 10×2.5×0.9
= 22.5 cm³
Hence, the volume of the rectangular prism is 22.5 cm³
Learn more about the volume of the prism here:
https://brainly.com/question/16565638
#SPJ2
The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is three times the measure of the first angle. The third angle is 29 more than the second. Let x, y, and z represent the measures of the first, second, and third angles, respectively. Find the measures of the three angles.
====================================================
Explanation:
The three angles add to 180, so x+y+z = 180
The second and third angles add to 3 times the measure of the first, so y+z = 3x
The third angle is 29 more than the second, so z = y+29
----------------------------
The system of equations is
[tex]\begin{cases}x+y+z = 180\\\\y+z = 3x\\\\z = y+29\end{cases}[/tex]
For now, let's focus on the second and third equations only.
Start with y+z = 3x. Replace z with y+29 which is valid because of the third equation.
So we'll have
y+z = 3x
y+y+29 = 3x
2y+29 = 3x
Let's isolate y
2y+29 = 3x
2y = 3x-29
y = (3x-29)/2
y = 3x/2 - 29/2
y = 1.5x - 14.5
We'll use this later.
--------------------------
Go back first equation of the system. Plug in z = y+29
x+y+z = 180
x+y+y+29 = 180
x+2y+29 = 180
Then plug in y = 1.5x - 14.5 we found earlier
x+2y+29 = 180
x+2(1.5x-14.5)+29 = 180
x+3x-29+29 = 180
4x = 180
x = 180/4
x = 45
---------------------------
We can use this x value to find y
y = 1.5x - 14.5
y = 1.5*45 - 14.5
y = 53
and use this to find z
z = y+29
z = 53+29
z = 82
As a check, x+y+z = 45+53+82 = 180 to help confirm the answer. I'll let you check the other equations.
point I is on line segment HJ. Given HJ=15 and IJ=10, determine the length HI
Answer:
Step-by-step explanation:
15 + 10 = 25
HI = 25
Answer: 5
Step-by-step explanation:
What is the area of this figure? 3 ft 15 ft 20 ft 17 ft 5 ft 20 ft square feet
Answer:
45
Step-by-step explanation:
find the sum or difference -80+77
Answer:
Step-by-step explanation:
-3 is the difference
The midpoint of AB is M(4, -1). If the coordinates of A are (2,5), what are the
coordinates of B?
Answer:
(6, -7)
Step-by-step explanation:
(x, y)=(4, -1)
(x1+x2)/2=4
(y1+y2)/2=-1
-----------------
x1+x2=8
2+x2=8
x2=8-2=6
---------------
y1+y2=-2
5+y2=-2
y2=-7
---------------
(6, -7)
A luxury liner leaves a port on a bearing of 110 degrees and travels 8.8 miles. It then turns due west and travels 2.4 miles. How far is the liner from the port, and what is its bearing from the port?
Answer:
Distance= 6.6 miles
Bearing= N 62.854°W
Step-by-step explanation:
Let's determine angle b first
Angle b=20° (alternate angles)
Using cosine rule
Let the distance between the liner and the port be x
X² =8.8²+2.4²-2(8.8)(2.4)cos20
X²= 77.44 + 5.76-(39.69)
X²= 43.51
X= √43.51
X= 6.596
X= 6.6 miles
Let's determine the angles within the triangle using sine rule
2.4/sin b = 6.6/sin20
(2.4*sin20)/6.6= sin b
0.1244 = sin b
7.146= b°
Angle c= 180-20-7.146
Angle c= 152.854°
For the bearing
110+7.146= 117.146
180-117.146= 62.854°
Bearing= N 62.854°W
Richard has 3 times as many music CDs as Benny does.
If Richard has y CDs, the number of CDs Benny has is given by the expression
. If Richard has 30 CDs, Benny has
CDs.
Answer:
y = 10 CDs
Step-by-step explanation:
30 divided by 3 equals 10
10 times 3 equals 30
Answer:
first blank is y/3
second blank is 10
Step-by-step explanation:
A construction company showed that the strength, y, of concrete, measured
by the percent of design strength attained, depends on the length of time, x,
(in days) since it was poured.
This value can be approximated by the equation y = 2.8x + 17.
a) What is the y-intercept? What does it mean in this setting? Your answer should tell something about the strength of concrete.
b) What is the slope? What does it mean in this setting? Your answer
should tell something about the strength of concrete.
c) How long does it take before y = 100?
Answer:
a) y-intercept = 17; initial design strength percentage
b) slope = 2.8; increase in that percentage each day
c) 29.6 days to 100% design strength
Step-by-step explanation:
a, b) The equation is in the form called "slope-intercept form."
y = mx + b
where the slope is m, and the y-intercept is b.
Your equation has a slope of 2.8 and a y-intercept of 17.
The y-intercept is the percentage of design strength reached 0 days after the concrete is poured. The strength of the concrete when poured is 17% of its design strength.
The slope is the percentage of design strength added each day after the concrete is poured. The concrete increases its strength by 2.8% of its design strength each day after it is poured.
__
c) To find when 100% of design strength is reached, we need to solve for x:
100 = 2.8x +17
83 = 2.8x
83/2.8 = x ≈ 29.6
The concrete will reach 100 percent of its design strength in about 30 days.
what is 7.004 as a fraction
Answer: It's 176/25 or 7 remainder 1/25
PLease Help! I'm Stuck
We can solve this problem in two ways.
1. From the description we conclude that the described sequence is a geometric sequence where the first term a₁ = 2 and common ratio r = 3, so:
[tex]\boxed{a_n=2\cdot3^{n-1}}[/tex]
Answer D.
2. The easiest way. We know that a₁ = 2, so let's substitute n = 1 for each of the possible answers:
A. 3·2ⁿ = 3·2¹ = 3·2 = 6 - Wrong
B. 2·3ⁿ = 2·3¹ = 2·3 = 6 - Wrong
C. 3·2ⁿ⁻¹ = 3·2¹⁻¹ = 3·2⁰ = 3·1 = 3 - Wrong
D. 2·3ⁿ⁻¹ = 2·3¹⁻¹ = 2·3⁰ = 2·1 = 2 - Correct.
find the derivative of f(x)=x+1/x-1 using first principal
f ' ( x ) = 1 ( x + 1 ) 2
Explanation:
differentiating from first principles
f ' ( x ) = lim h → 0
f ( x + h ) − f ( x ) h
f ' ( x ) = lim h → 0
x + h x + h + 1 − x x + 1 h
the aim now is to eliminate h from the denominator
f ' ( x ) = lim h =0
( x + h ) ( x + 1 )− x ( x + h + 1) h ( x + 1 ) ( x + h + 1 )
f ' ( x ) = lim h → 0
x 2 + h x + x + h − x 2 − h x − x h ( x + 1 ) ( x+h + 1 )
f ' ( x ) = lim h → 0
h 1 h 1 ( x + 1 ) ( x + h +1 )
f ' ( x ) = 1 ( x + 1 ) 2
For the following right triangle, find the side length x.
х
24
Can anyone help me??Need help ASAP!
Answer:
25
Step-by-step explanation:
We can use the Pythagorean Theorem to find the value of x,
The Pythagorean Theorem states that [tex]a^2 + b^2=c^2[/tex], where a and b are the legs and c is the hypotenuse.
We already know a and b’s value so we can substitute inside the formula to find the length of the hypotenuse.
[tex]24^2+7^2=c^2\\\\576+49=c^2\\\\625=c^2\\\\c=25[/tex]
Hope this helped!
Evaluate 9 -- 5 when b 8.
9+5=14 bx8=8b Hope this helps sir or miss!
Sonia is walking 2.5 miles home from school. She leaves at 4:00 P.M., and gets home at 4:45 P.M. Graph the line that represents Sonia’s distance from school at a given time. Find and interpret the slope of the line.
Answer:
M = 1/18
Step-by-step explanation:
The slope is 1/18 mi/min, which means Sonia walks at a rate of 1 mile every 18 minutes.
What is slope of a line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
Given that, Sonia is walking 2.5 miles home from school.
She left at 4:00 pm and got home at 4:45 pm. She took 45 minutes to get there.
We can interpret the information as two points, the first one is (0,0) that represents the starting point. The second point is (45, 2.5), which represents the ending point when she arrived home. Let's graph these points and draw a line through them.
To find the slope, divide 2.5 miles by 45 minutes,
Thus, slope =2.5/45
m= 1/18 miles per minute
Therefore, the slope is 1/18 mi/min, which means Sonia walks at a rate of 1 mile every 18 minutes.
To learn more about the slope of a line visit:
https://brainly.com/question/14511992.
#SPJ2
Please help, I have no idea how to solve this. Can someone teach me how? 6a^2+4f-3 when a=2 and f=4
Answer:
157
Step-by-step explanation:
First, let's subsitute a and f.
6(2)^2 + 4(4) - 3
Remeber the order of operations. Paranthesis, exponents, multiply, divide, add, subtract.
12^2 + 16 - 3
144 + 16 - 3
157 is the answer. Hope this helps!!!!!!
Write this number in standard form 70,000 + 5,000 + 20+3
Answer:
70,523
Step-by-step explanation:
This is standard form there no way to show.
can y’all please help me !!
Please help! Click on image. Hurry quick!
Answer:
the answers are
a) Area of triangle is 15 square inches
Perimeter of triangle is 18.5 inches.
b) Area of trapezium is 210 square cm.
Perimeter of trapezium is 61.5 cm.
c) Area of parallelogram is 21 square yards
perimeter of parallelogram is 22 yards
Step-by-step explanation:
Area of triangle is 1/2( base × height)
Area of trapezium is 1/2(p1 + p2)×height
Area of parallelogram is base × height
is the number 10,104 divisible by 4?
Step-by-step explanation:
A no. is divisible by four if the last two digits is a multiple of 4
04 is a multiple of four
The no. 10,104 is divisible by 4A mail carrier can deliver mail to 36 houses in 30 minutes. Mark wants to determine how many houses the carrier can deliver mail to in 7.5 minutes at this rate. He thinks that to find the answer, he should do the following. 1. First divide 36 houses by 30 minutes to find a unit rate of 1.2 houses per minute. 2. Then multiply 1.2 houses per minute by 7.5 minutes to get 9 houses. Which statement is correct?
Answer:
Mark’s method is correct, because even though it is impossible to deliver mail to 1.2 houses in a minute, 1.2 represents the unit rate of houses per minute.
Step-by-step explanation:
Just took the test.
Both the steps performed by Mark to determine ,the houses the carrier can deliver mail to in 7.5 minutes at this rate is correct .
What is unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
According to the question
A mail carrier can deliver mail = 36 houses
Time taken to deliver mail in 36 houses = 30 minutes
Mark wants to determine , the houses the carrier can deliver mail to in 7.5 minutes at this rate.
By using unitary method :
Step1: First divide 36 houses by 30 minutes to find a unit rate
[tex]rate = \frac{36}{30}[/tex]
rate = 1.2 houses in a minute
Step2: Then multiply the rate to the required time
i.e 1.2 * 7.5 = 9 houses
Hence , Both the steps performed by Mark to determine ,the houses the carrier can deliver mail to in 7.5 minutes at this rate is correct .
To know more about unitary method here:
https://brainly.com/question/21648365
#SPJ3
Evaluate 6j+23+k/l−3, when j=3, k=7, and l=33.
Enter your answer in the box.
Answer:
37 7/33 or 37.212
Step-by-step explanation:
6j + 23 + k/l - 3
If j = 3, k = 7, and l = 33:
6 × 3 + 23 + 7/33 - 3
= 18 + 22 + 7/33 - 3
= 40 + 7/33 - 3
= 40 7/33 - 3
NOTE: Because 40 and 3 are whole numbers, 3 will be subtracted from 40.
= 37 7/33 or 37.212
What is the equation of the linear model shown?
A. y = 0.8x + 4
B. y = 1.25x − 0.5
C. y = −0.8x + 20
D. y = 0.8x + 0.4
Answer:
A. y = 0.8x + 4
Step-by-step explanation:
i just took the test
The equation of the linear model shown is A. y = 0.8x + 4
A linear model refers to a model where a response variable is being described. It should be noted that the response should be a continuous variable
The linear model is the framework for the set of models that predict a quantitative dependent variable through the independent variables given.
Based on the diagram, the equation of the linear model shown is y = 0.8x + 4
Read related link on:
https://brainly.com/question/16317786
what are the orders pairs for this figure
One environmental hazard recently identified is overexposure to airborne asbestos. In a sample of 10 public buildings over 20 years old, three were found to be insulated with materials that produced an excess number of airborne asbestos bodies. what is the approximate probability that another buitding of this rype will have this problem? What method are you using to assign this probability?
Answer:
1. 0.3
2. Relative frequency
Step-by-step explanation:
We would be calculating for p(A) which is the probability of A. With A being that public buildings would be found to be insulated with same materials that causes same issues
n = sample space of public buildings = 10
F = frequency = 3
P(A) = 3/10 = 0.3
Therefore 0.3 is the approximate probability of another building having same issues
Question 2 says we should find method used to assign probability
The method used is relative frequency method and it is determined by:
P(A) = frequency(f)/total number of data values(n).