Answer:
There are 7 tenths
Step-by-step explanation:
The tenths spot is the first spot over to the right of the decimal place, so there are 7 tenths
As we know that 10 tenths are there in 1 so, there are total 27 tenths are there in the 2.7
What are arithmetic operations?The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.
They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.
As per the given information in the question,
10 tenths make up one, hence there are,
2.7 × 10 = 27 tenths in 2.7
There is one more way to check this,
2.7 ÷ (1/10)
= 2.7 × 10
= 27
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Speedy Oil provides a single-channel automobile oil change and lubrication service. Customers provide an arrival rate of 4 cars per hour. The service rate is 5 cars per hour. Assume that arrivals follow a Poisson probability distribution and that service times follow an exponential probability distribution. a. What is the average number of cars in the system
Answer:
4 customers
Step-by-step explanation:
Given that:
Mean Arrival rate (λ) = 4 cars per hour
Service rate (u) = 5 cars per hour
Using the queuing formula :
The average number of cars in the system can be obtained using the relation :
Number of customers in the system (L)
Number of customers in queue = (Lq)
L = Lq + (λ/u)
Lq = λ^2 / u(u - λ)
Hence,
Lq = 4^2 / 5(5 - 4)
Lq = 16/ 5(1)
Lq = 16/ 5
Lq = 3.2
L = 3.2 + (4/5)
L = 3.2 + 0.8
L = 4
find the multiplicative inverse of 7 in mod 9
Answer:
-1/7
Step-by-step explanation:
The inverse of 7 is simply the opposite
Which postulates can be used to prove congruence?
Answer:
SAS postulate.. is the answer
What describes θ when an ellipse is created from an intersection of a plane and double-napped cone?
θ = α
θ = 90⁰
α < θ < 90⁰
0⁰ ≤ θ < α
Answer:
C: a < θ < 90%
Step-by-step explanation:
What type of triangle is this?
Options:
- SSS
- SAS
- ASA
- AAS
- HL
- Not Possible
Answer:
HL
Step-by-step explanation:
In both triangle, hypotenuse and one leg is congruent. So, HL congruent
Which recursive definition produces an arithmetic sequence where g(5) = 8 and g(10) = 10?
Answer:
gₙ = gₙ₋₁ + 0.4, with g₁ = 6.4
Step-by-step explanation:
The n-th term of an arithmetic sequence can be written as:
gₙ = g₁ + (n - 1)*d
Where g₁ is the first value, and d is the difference between any two consecutive terms of this sequence.
Then we have the equations:
g₅ = 8 = g₁ + (5 -1)*d
g₁₀ = 10 = g₁ + (10 - 1)*d
This is a system of equations, we can rewrite this as:
8 = g₁ + 4*d
10 = g₁ + 9*d
To solve this, the first step will be isolate one of the variables in one of the equations, i will isolate g₁ in the first equation:
g₁ = 8 - 4*d
Now we can replace this in the second equation to get:
10 = 8 - 4*d + 9*d
10 = 8 + 5*d
10 - 8 = 5*d
2 = 5*d
2/5 = d = 0.4
Now with this, we can find the value of g₁ by using the equation:
g1 = 8 - 4*d = 8 - 4*(2/5) = 8 - 8/5 = 6.4
Then the nth term of this sequence can be written as:
gₙ = 6.4 + (n - 1)*0.4
This relation also can be written as:
gₙ = gₙ₋₁ + d = gₙ₋₁ + 0.4, with g₁ = 6.4
Then the correct option is the second option.
Triangle ABC has the following vertices:
A(-8,7)
B(0, -5)
C(9,1)
Is triangle ABC a right triangle, and why?
Answer:
Yes because AB ⊥ BC
Step-by-step explanation:
Answer: Yes because AB ⊥ BC
Step-by-step explanation: Khan Academy
HeEeEEeLpPpp <<3<3<3<3
Answer:
h = 13
Step-by-step explanation:
20 - 7 = 13
Monitors manufactured by TSI Electronics have life spans that have a normal distribution with a standard deviation of 15001500 hours and a mean life span of 16,00016,000 hours. If a monitor is selected at random, find the probability that the life span of the monitor will be more than 18,09918,099 hours.
Answer:
0.0809
Step-by-step explanation:
Given that :
Mean(m) = 16000
Standard deviation (s) = 1500
Probability that the life span of the monitor will be more than 18,099
P(x > 18099)
Using the Zscore formula :
Zscore =(x - m) / s
Zscore = (18099 - 16000) / 1500
Zscore = 2099 / 1500
Zscore = 1.399
P(Z > 1.399)
Using the Z probability calculator :
P(Z > 1.399) = 0.080906
= 0.0809
If RSTU is a rhombus, find the measure of angle RUT.
Finding x:
We know that the diagonals of a rhombus bisect its angles
So, since US is a diagonal of the given rhombus:
∠RUS = ∠TUS
10x - 23 = 3x + 19 [replacing the given values of the angles]
7x - 23 = 19 [subtracting 3x from both sides]
7x = 42 [adding 23 on both sides]
x = 6 [dividing both sides by 7]
Finding ∠RUT:
We can see that:
∠RUT = ∠RUS + ∠TUS
Since we are given the values of ∠RUS and ∠TUS:
∠RUT = (10x - 23) + (3x + 19)
∠RUT = 13x - 4
We know that x = 6:
∠RUT = 13(6)- 4
∠RUT = 74°
What is the value of x when y=6
Answer:
When x = 12, y = 4.
Step-by-step explanation:
If
y
∝
x
we can write that
y
=
k
⋅
x
where k is a constant of proportionality.
Using the values given:
6
=
18
⋅
k
⇒
k
=
1
3
y
=
1
3
⋅
12
=
4
Ali took five Math tests during the semester and the mean of his test score was 85. If his mean after the first three was 83, What was the mean of his 4th and 5th tests
Answer:
88
Step-by-step explanation:
Mean of five test = 85
Sum of five tests = 85*5 = 425
Mean of first three test =83
Sum of first three test = 83 * 3 = 249
Sum of 4th and 5th test scores = 425 - 249
= 176
Mean of his 4th and 5th test = 176/2 = 88
Kendal bought x boxes of cookies to bring to a party. Each box contains 12 2 points
cookies. Someone else brought 24 cookies. Let 'y' represent the total
number of cookies at the party. Show an equation in SLOPE-INTERCEPT
FORM that models this situation. Kendal brings 60 boxes to the party. How
many cookies in total were at the party?
Answer:
744 cookies
Step-by-step explanation:
PLZ MARK BRAINLIEST ON THE TOP RIGHT CLICK THE CROWN.
9. One winter day, the temperature increased from a low of -5 °F to a high of 40 °F. By how many degrees did the temperature change? © 25 °F A) 45 °F F B 35 °F D 55 °F
Answer:
The temperature changed by 45°F .
Step-by-step explanation:
-5°F to 0°F = 5°F and 0°F to 40°F = 40°F
5° + 40° = 45°F
in hostel of 40 students there is food for 30 days if 20 more students join the hostel how long will the food last
Answer:
The food will last for 20 days
Step-by-step explanation:
The equation of the inverse proportional is xy = k, where k is the constant of variation
∵ In a hostel of 40 students, there is food for 30 days
→ That means the food is the constant k and the number of days y
varies inversely with the number of students x
∴ x = 40 and y = 30
∵ xy = k
∴ 40 × 30 = k
∴ 1200 = k
∴ The equation of the inverse proportional is xy = 1200
∵ 20 more students join the hostel
→ That means the number of students increased by 20
∴ The number of students in the hostel = 40 + 20
∴ The number of students in the hostel = 60
→ By using the equation above
∵ 60 × y = 1200
∴ 60y = 1200
→ Divide both sides by 60
∴ y = 20
∴ The food will last for 20 days
. 90 decimeters = _______________ millimeters
what is the difference of the fractions? 5/6 - 4/6
Answer
[tex]--------------------------------------------[/tex]
[tex]\frac{5}{6}-\frac{4}{6}[/tex] = [tex]\frac{1}{6}[/tex]
[tex]0.8333333333[/tex] - [tex]0.6666666667[/tex] = [tex]0.1666666666[/tex]
[tex]\frac{1}{6}[/tex] = [tex]0.1666666666[/tex]
[tex]It's[/tex] [tex]\frac{1}{6}[/tex] [tex]because[/tex] [tex]5-4[/tex] = [tex]1[/tex]
[tex]and[/tex] [tex]the[/tex] [tex]denominator[/tex] [tex]is[/tex] [tex]the[/tex] [tex]same.[/tex]
[tex]So[/tex], [tex]it's[/tex] [tex]\frac{1}{6}[/tex]
[tex]--------------------------------------------[/tex]
Hope this helps! <3
[tex]--------------------------------------------[/tex]
2./10
To rationalize the denominator of
311
you should multiply the expression by which fraction?
Complete Question:
To rationalize the denominator of 2√10/3√11 , you should multiply the expression by which fraction?
Answer:
Multiply by [tex]\frac{\sqrt{11}}{\sqrt{11}}[/tex]
Step-by-step explanation:
Given
[tex]\frac{2\sqrt{10}}{3\sqrt{11}}[/tex]
Required
To rationalize
To do this, we simply multiply the expression by the fraction of [tex]\frac{\sqrt{11}}{\sqrt{11}}[/tex]
This gives:
[tex]\frac{2\sqrt{10}}{3\sqrt{11}} * \frac{\sqrt{11}}{\sqrt{11}}[/tex]
[tex]\frac{2\sqrt{10 * 11}}{3\sqrt{11 * 11}}[/tex]
[tex]\frac{2\sqrt{110}}{3\sqrt{121}}[/tex]
Express [tex]\sqrt{121[/tex] as 11
[tex]\frac{2\sqrt{110}}{3*11}[/tex]
[tex]\frac{2\sqrt{110}}{33}[/tex]
Hence:
[tex]\frac{2\sqrt{10}}{3\sqrt{11}}[/tex] = [tex]\frac{2\sqrt{110}}{33}[/tex]
5) Every hour, your sister can make the same number of socks. If in the 3rd hour of work, she has
made 6 pairs of socks, and by the 5th hour, she has made 10 pairs of socks, what is the rate at which
she made the socks?
Answer: 2
Because if shes in the 3rd hour and made six pairs count up to the 5th hour and there you go you have 2!
Multiplication sentences:
3÷5=2 2+3=5
Hope this helps!
Find the perimeter of the following shapes to 1 d.p take r =3.14
Answer:
The perimeter is 19.7
Step-by-step explanation:
The question is not complete and there is no attachment. Nevertheless, we can make do with the given information.
we can picture that the shape is a circle and we are required to find the perimeter/circumference of the circular shape
Given
The radius r= 3.142
Step two:
the perimeter/circumference is expressed as
C=2πr
C= 2*3.142*3.142
C= 19.7
PLEASE HELP I WILL MARK BRAINLIST TO WHOEVER ANSWERS FIRST !!
graph the line that represents the equation y=2/3x+1
I HAVE THE PICTURE OF THE GRAPH ABOVE !!
Answer:
Graph (6, 5) and (-6, -3), and then use a ruler (optional), and draw a line between them, and a little after the points.
Step-by-step explanation:
y = 2/3x + 1
Substitute different numbers for x, and find y:
You don't really want to work with fractions, so try to find a number that when multiplied by 2/3, gives you a whole number
x = 6
y = 2/3(6) + 1
y = 12/3 + 1
y = 4 + 1
y = 5
Point: (6, 5)
x = -6
y = 2/3(-6) + 1
y = -12/3 + 1
y = -4 + 1
y = -3
Point: (-6, -3)
Graph these two points, and then use a ruler (optional), and draw a line between them, and a little after the points.
A 2,100-square-foot home in Cheyenne, Wyoming, costs $110 per square foot. How much does this home cost?
Victoria is an actuary for an insurance company. She recently compiled this table to help her determine health insurance premiums for the upcoming year. Consider the likeliness of each individual to have a need for health insurance. Order the individuals from least to greatest need for health insurance. Profile Description Probability of Visiting a Doctor for Injury or Illness This Year 18-year-old male athlete 16% 78-year-old male nonsmoker 53% 65-year-old female smoker 76% 26-year-old female nonsmoker 14% 45-year-old male smoker 39% 32-year-old female nonsmoker 20%
Answer:
Here is the order (considered % at the end to be a criteria)
26-year-old female nonsmoker 14% 18-year-old male athlete 16% 32-year-old female nonsmoker 20%45-year-old male smoker 39% 78-year-old male nonsmoker 53% 65-year-old female smoker 76%Answer:
26
18
32
45
78
65
least to greatest
What is 1/2 divided by 1/4 in the simplest form?
Answer:
2
Step-by-step explanation:
1/2 divided by 1/4 rewritten is 1/2 times 4/1 equels 4/2. In its simplest form 2.
1/2 divided by 1/4 in the simplest form is 2.
What is division?The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into same number of parts.
Given that the expression 1/2 divided by 1/4.
simplifying,
1/2 divided by 1/4 = 1/2 ÷ 1/4
Rearranging into the multiplication form,
1/2 divided by 1/4 = 4/2
1/2 divided by 1/4 = 2
Therefore, the simplest form of 1/2 divided by 1/4 is 2.
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Evaluate the expression 9 + (7 - 4)2 + 3.
06
O3
0 18
O 12
Answer:
18
Step-by-step explanation:
PEMDAS
Parenthesis
Exponents
Multiply/Divide (from left to right)
Add/Subtract (from left to right)
4x – 4y = -16
please help find the y value
Answer: y=x+4
Step-by-step explanation:
if you need to find the y
we divide the equation by 4
x-y=-4
add y on both sides
y=x+4
1 + 1 = ?
I am a Collage Student and i have ZERO idea what this is.
There are 1/2 as many eighth graders in the choir as seventh graders. There are 48 eight graders. Write and solve an equation to find the number of seventh graders in the choir. (This problem needs to be written as an equation..not just 48x2) Thanks
Answer:
Step-by-step explanation:
Let x represent the number of seventh graders in the choir:
48=x/2
x=96
Which equation can be used in system of equations to solve for the unknown? CHECK ALL THAT APPLY
1) A=2
2) -6A+B=2
3) 3A-B+C=1
4) B=0
5) 9A-3B+C=1
Answer:
A and E
Step-by-step explanation:
edge 2021
Answer:
Option A and E are the correct answers.
What is the Y and X in this problem?
Answer:
there is no problem
Step-by-step explanation: