Answer:
3
Step-by-step explanation:
Answer: 3
Step-by-step explanation:
5x3=15 and 3x9=27 so it’s 3.
321. The lanes on the circular outdoor track are one meter wide. By running in the lane next to the innermost lane, Corey ran extra distance in an eight-lap race. How much
How many parts does the net of a cylinder have?
four
three
two
five
Answer:
the net of a cylinder has 3 parts to it
Answer:
B three
Step-by-step explanation:
The net of a cylinder consists of three parts: One circle gives the base and another circle gives the top. A rectangle gives the curved surface.
Plzzzzzz helpppppp!!!!!!
Answer:
h(x) ≤ 5
Step-by-step explanation:
The function and boundaries given are;
h(x) = x + 2, x < 3
And ;
h(x) = -x + 8, x ≥ 3
Now,in the first condition, the maximum value of x will be 2. This means the maximum value of h(x) there is;
h(2) = 2 + 2 = 4
For the second condition, x ≥ 3. Thus, the maximum value of x is 3.
This means that the maximum value of h(x) here is;
h(3) = -3 + 8 = 5
Foe the 2 conditions combined it is clear that the maximum value of h(x) is 5.
Thus,we can say; h(x) ≤ 5
4 In February, Alec had 1,581 visitors to his website. In March, he had 1,321 visitors to his website. What is the percentage decrease of the number of visitors to Alec's website from February to March? if necessary, round to the nearest tenth of a percent
Answer:
It is 16.4 %
Step-by-step explanation:
Subtract 1581 and 1321 to get how much it decreased.
It decreased by 260 so find what percent of 1581 is 260.
260/1581 = 0.164 which is 16.4 %
Express 3 kilograms as a fraction of 1800 grams
Answer:
3000/1800 = 5/3
Step-by-step explanation:
3 kilograms is 3000 grams = 3000/1800 simplified to the smallest is 5/3
sorry if this isn't what you're looking for
A loan of $20,000 is made at 7% interest, compounded annually. After how many years will the amount due reach $41,000 or more?
Answer:
Step-by-step explanation:
11 years
Using the compound interest formula. :
Final amount, A = 41000 or more
Rate, r = 7% = 0.07
Loan amount, P = 20,000
Number of compounding times per period = 1
A = P(1 + r/n)^nt
41000 = 20000(1 + 0.07)^t
41000/20000 = 1.07^t
2.05 = 1.07^t
t = log(2.05) / log(1.07)
t = 10.609727
t = 11 years
Need help with this please also explain
Answer:
430 cm³
Step-by-step explanation:
= 11 × 10 × 2
= 220 cm³
= 10 × 3 × (9-2)
= 210 cm³
= 220 + 210
= 430 cm³
Answer:
430 cubic centimeters
Step-by-step explanation:
Lets start by separating both figures. Start with the one in the back, which is the bigger one.
Given:
Length = 10 cm
Width = 3 cm
Height = 9 cm
This is a rectangle and the volume of a rectangle is L x W x H. Therefore,
Volume = 10 x 3 x 9 = 270 cubic centimeters
Now we move on to the second figure.
Given:
Length = 10 cm (Given from the other rectangle)
Width = 8 cm (We do 11 - 3 since we separated the rectangles)
Height = 2 cm
Using the same formula we get the following.
Volume = 10 x 8 x 2 = 160 cubic centimeters
____
Finally, we add both volumes back since we separated the figures in the beginning.
Volume = 270 + 160 = 430 cubic centimeters
-1/2(2x-8) distribution
Answer:
-1x+4
Step-by-step explanation:
-1/2 times 2x equals -1x. -1/2 times -8 equals 4.
The indefinite integral can be found in more than one way. First use the substitution method to find the indefinite integral. Then find it without using substitution. Check that your answers are equivalent. 6x^5(x^6-2)dx
Answer:
∫[tex]6x^5(x^6-2)\,dx[/tex] = [tex]\frac{1}{2}(x^6-2)^2+C[/tex]
Step-by-step explanation:
To find:
∫[tex]6x^5(x^6-2)\,dx[/tex]
Solution:
Method of substitution:
Let [tex]x^6-2=t[/tex]
Differentiate both sides with respect to [tex]t[/tex]
[tex]6x^5\,dx=dt[/tex]
[use [tex](x^n)'=nx^{n-1}[/tex]]
So,
∫[tex]6x^5(x^6-2)\,dx[/tex] = ∫ [tex]t\,dt[/tex] = [tex]\frac{t^2}{2}+C_1[/tex] where [tex]C_1[/tex] is a variable.
(Use ∫[tex]t^n\,dt=\frac{t^{n+1} }{n+1}[/tex] )
Put [tex]t=x^6-2[/tex]
∫[tex]6x^5(x^6-2)\,dx[/tex] = [tex]\frac{1}{2}(x^6-2)^2+C_1[/tex]
Use [tex](a-b)^2=a^2+b^2-2ab[/tex]
So,
∫[tex]6x^5(x^6-2)\,dx[/tex] = [tex]\frac{1}{2}(x^6-2)^2+C_1=\frac{1}{2}(x^{12}+4-4x^6)+C_1=\frac{x^{12} }{2}-2x^6+2+C_1=\frac{x^{12} }{2}-2x^6+C[/tex]
where [tex]C=2+C_1[/tex]
Without using substitution:
∫[tex]6x^5(x^6-2)\,dx[/tex] = ∫[tex]6x^{11}-12x^5\,dx[/tex] = [tex]\frac{6x^{12} }{12}-\frac{12x^6}{6}+C=\frac{x^{12} }{2}-2x^6+C[/tex]
So, same answer is obtained in both the cases.
This exercise illustrates that poor quality can affect schedules and costs. A manufacturing process has 90 customer orders to fill. Each order requires one component part that is purchased from a supplier. However, typically, 3% of the components are identified as defective, and the components can be assumed to be independent.
Required:
a. If the manufacturer stocks 90 components, what is the probability that the 90 orders can be filled without reordering components?
b. If the manufacturer stocks 102 components, what is the probability that the 100 orders can be filled without reordering components?
c. If the manufacturer stocks 105 components, what is the probability that the 100 orders can be filled without reordering components?
Answer:
a) 0.0645 = 6.45% probability that the 90 orders can be filled without reordering components.
b) 0.4062 = 40.62% probability that the 100 orders can be filled without reordering components.
c) 0.9034 = 90.34% probability that the 100 orders can be filled without reordering components
Step-by-step explanation:
For each component, there are only two possible outcomes. Either it is defective, or it is not. The components can be assumed to be independent. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
3% of the components are identified as defective
This means that [tex]p = 0.03[/tex]
a. If the manufacturer stocks 90 components, what is the probability that the 90 orders can be filled without reordering components?
0 defective in a set of 90, which is [tex]P(X = 0)[/tex] when [tex]n = 90[/tex]. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{90,0}.(0.03)^{0}.(0.97)^{90} = 0.0645[/tex]
0.0645 = 6.45% probability that the 90 orders can be filled without reordering components.
b. If the manufacturer stocks 102 components, what is the probability that the 100 orders can be filled without reordering components?
At most 102 - 100 = 2 defective in a set of 102, so [tex]P(X \leq 2)[/tex] when [tex]n = 102[/tex]
Then
[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{102,0}.(0.03)^{0}.(0.97)^{102} = 0.0447[/tex]
[tex]P(X = 1) = C_{102,0}.(0.03)^{1}.(0.97)^{101} = 0.1411[/tex]
[tex]P(X = 2) = C_{102,2}.(0.03)^{2}.(0.97)^{100} = 0.2204[/tex]
[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0447 + 0.1411 + 0.2204 = 0.4062[/tex]
0.4062 = 40.62% probability that the 100 orders can be filled without reordering components.
c. If the manufacturer stocks 105 components, what is the probability that the 100 orders can be filled without reordering components?
At most 105 - 100 = 5 defective in a set of 105, so [tex]P(X \leq 5)[/tex] when [tex]n = 105[/tex]
Then
[tex]P(X \leq 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{105,0}.(0.03)^{0}.(0.97)^{105} = 0.0408[/tex]
[tex]P(X = 1) = C_{105,0}.(0.03)^{1}.(0.97)^{104} = 0.1326[/tex]
[tex]P(X = 2) = C_{105,2}.(0.03)^{2}.(0.97)^{103} = 0.2133[/tex]
[tex]P(X = 3) = C_{105,3}.(0.03)^{3}.(0.97)^{102} = 0.2265[/tex]
[tex]P(X = 4) = C_{105,4}.(0.03)^{4}.(0.97)^{101} = 0.1786[/tex]
[tex]P(X = 5) = C_{105,5}.(0.03)^{5}.(0.97)^{100} = 0.1116[/tex]
[tex]P(X \leq 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = 0.0408 + 0.1326 + 0.2133 + 0.2265 + 0.1786 + 0.1116 = 0.9034[/tex]
0.9034 = 90.34% probability that the 100 orders can be filled without reordering components
Write the fraction as a sum of fractions three different ways.
7/10
Plzzzzz help meeee
Which correctly lists three places that fresh water is found?
rivers, oceans, lakes
oceans, coastal wetlands, seas
ice sheets, water vapor, rivers
water vapor, streams, oceans
Answer:
ice sheets water vapor, and rivers
Step-by-step explanation:
vote brainiest if this helped
Answer:
c
Step-by-step explanation:
There are some apples and 8 pears in a basket. Each of them is either green or yellow. There are three more apples than the total number of green fruit. There are 6 yellow pears. How many yellow apples are there in the basket?
Answer:
5 yellow apples
Step-by-step explanation:
Pears = p ; apples = a
p = 8 ; let Number of apples = x
All fruits are either green or yellow
Total green fruits = x - 3
Number of yellow pears = 6
Green pears = total pears - yellow pears
Green pears = 8 - 6
Green pears = 2
Green fruits = green pears + green apples
x - 3 = 2 + green apples
Green apples = x - 3 - 2
Green apples = x - 5
Apples = green apples + yellow apples
Yellow apples = apples - green apples
Yellow apples = x - (x - 5)
Yellow apples = x - x + 5
Yellow apples = 5
Hence, there are 5 yellow apples
There are 5 yellow apples in the basket.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let a represent green apples, b represent yellow apples, c represent green pears and d represent yellow pears, hence:
There are some apples and 8 pears in a basket:
c + d = 8
There are three more apples than the total number of green fruit:
a + b = a + c + 3
b = c + 3
c = b - 3
There are 6 yellow pears, d = 6. Since:
c + d = 8, hence:
b - 3 + 6 = 8
b = 5
There are 5 yellow apples in the basket.
Find out more on equation at: https://brainly.com/question/2972832
A number is divided into two parts, such that one part is 10 more than the other, if the two parts are in the ratio 5:3, find the number and the two parts.
Answer:
Step-by-step explanation:
25:15
5x5=25
3x5=15
Find the surface area of the triangular pyramid. The side lengths of the base are equal.
8.7 cm
6 cm
10 cm
The surface area is
square centimeters.
Answer:
522.0
Step-by-step explanation:
10*6=60
60*8.7=522.0
or you can take out the zero either way that's the answer
Answer:
522.0
Step-by-step explanation:
Step-by-step explanation:
10*6=60
60*8.7=522.0
or you can take out the zero either way that's the answer
Please help
Solve the equation.
2 x/-10=2/5
i need help on this pls
Answer: 10
Step-by-step explanation:
All you have to do to get the bottom number is add the numbers already there
Answer:
The width is equal to 12 meters
Step-by-step explanation:
The Volume equals length x width x height. In our case, we know the length and the height so we can find the width the following way...
V = (l)(w)(h)
[tex]w = \frac{V}{(l)(h)}[/tex]
[tex]w = \frac{288}{(4)(6)}[/tex]
[tex]w = \frac{288}{24}[/tex]
w = 12 m
What is the x- coordinate of the ordered pair that satisfies this system of linear equations?
Which one doesn't belong? 100, 25, 36, 30
Answer:
Step-by-step explanation:
100 bro
Use the Pythagorean Theorem to find the length of the leg in the triangle shown below. 5, 13
Answer:
Leg= Leg- hypotenuse
Step-by-step explanation:
5 suquared= 25
13 squared= 169
25+169 =194
194 square root is 13.9
How to determine each side of a right triangle
if leg a is the missing side, then transform the equation to the form when a is on one side, and take a square root: a = √(c² - b²)
if leg b is unknown, then. b = √(c² - a²)
for hypotenuse c missing, the formula is. c = √(a² + b²)
Answer:
13.9 (rounded)
Step-by-step explanation:
The pathaegorean theorem is A²+B²= C²
5²=25
13²= 169
169+25=194
√194=13.9
Leslie bought 5.2 gallons of gas. There are approximately 3.8 liters in 1 gallon. Which measurement is closest to the number of liters of gasoline Leslie bought?
A 5.72 L
B 1.37 L
B 19.76 L
D 7.1 L
Answer:
C
Step-by-step explanation:
n the figure, j∥k and m∠7 = 65°. What is the m∠6?
Answer:
ΔABC ~ ΔEFD
Step-by-step explanation:
ΔABC ~ ΔEFDc
Answer:
I'm a cat, I'm a kitty cat, and a meow meow meow, and a meow meow meow
Multiply 154.18 and 5 together. Round to the nearest hundredth when necessary.
Answer:
that will be 725.10 im not sure
Answer:
The answer is 770.9 and cant be rounded to the nearest tenth.
Bianca graphs the data in the table and finds that the trend line is s = 2.2 f + 4.7. Based on the information given, a player who makes 22 free throws in a game should score about how many points? 39 44 53 66
Answer:
s = 53
Step-by-step explanation:
Bianca graphs the data in the table and finds that the trend line is :
s = 2.2 f + 4.7
We need to find the score when there are 22 free thrown in a game. Put f = 22 in the above equation.
s = 2.2(22) + 4.7
= 53.1
pr
s = 53
Hence, there is 53 score when f = 22.
Answer:
c
Step-by-step explanation:
HELP IT EASY PLEASE D::::::
Answer:
36 inches
Step-by-step explanation:
The area formula for a rectangle is length times width times height
If you fill in the equation with the values given in the picture then your answer is 3
3 times 12 is 36
pls help math qucikly
Answer:
1/3
Step-by-step explanation:
х+5y = 16
x+3y = 10
what does x and y equal
PLZ HELP ME THIS IS 7TH GRADE MATH
Answer:
x would be 54 degrees
Step-by-step explanation:
Since x lies on a straight line, and it gives you the other angle (126) just subtract 180 and 126.
180 - 126 = 54
25 = 3x - 5
What does X equal?
Answer:
The answer is x = 10
Step-by-step explanation:
Move all terms that don't contain x to the right side and solve.
hoped this helped!
brainly, please?
Answer:
x = 10
Step-by-step explanation:
Step 1: Flip the equation.
3x−5=25
Step 2: Add 5 to both sides.
3x−5+5=25+5
3x=30
Step 3: Divide both sides by 3.
Can someone please help me? I already done the first two just confused on the last part please explain when u answer thx peeps brainliest :)
Answer:
c.
[tex] - 1 < - 0.25 < 0 < 0.5 < 1.5[/tex]