Write 21/7 as a whole number
Answer: 3
Step-by-step explanation:
7x=21 21/7=3
The sum of two numbers is 37 and the difference is 15 . What are the numbers?
the first number is 11 and the second one is 26
Answer:
this is the answer with the working
in the life of a car engine, calculatedin miles, is normally distributed, with a mean of 17,000 miels and a standard deviation of 16,500 miles, what should be the guarantee period if the company wants less than 2% of the engines to fail while under warranty g
Answer:
the guarantee period should be less than 136010 miles
Step-by-step explanation:
From the given information;
Let consider Y to be the life of a car engine
with a mean μ = 170000
and a standard deviation σ = 16500
The objective is to determine what should be the guarantee period T if the company wants less than 2% of the engines to fail.
i.e
P(Y < T ) < 0.02
For the variable of z ; we have:
[tex]z = \dfrac{x - \mu }{\sigma}[/tex]
[tex]z = \dfrac{x - 170000 }{16500}[/tex]
Now;
[tex]P(Y < T ) = P( Z < \dfrac{T- 170000}{16500})[/tex]
[tex]P( Z < \dfrac{T- 170000}{16500})< 0.02[/tex]
From Z table ;
At P(Z < -2.06) ≅ 0.0197 which is close to 0.02
[tex]\dfrac{T- 170000}{16500}<- 2.06[/tex]
[tex]{T- 170000}<- 2.06({16500})[/tex]
[tex]{T- 170000}< - 33990[/tex]
[tex]{T}< - 33990+ 170000[/tex]
[tex]{T}<136010[/tex]
Thus; the guarantee period should be less than 136010 miles
A point P has coordinates (-5, 4). What are its new coordinates after reflecting
point Pover the y-axis?
A. (-5, -4)
B. (-5, 4)
C. (5, 4)
D. (5, -4)
Answer:
C(5, 4)
Step-by-step explanation:
The rule for a reflection over the y -axis is (x,y)→(−x,y) .
Answer:
(5, 4)
Step-by-step explanation:
when you reflect off the y-axis, you switch (x,y) to (-x,y)
So
(-5, 4) --> (5, 4)
Hope this helps,
Feel free to ask more questions if I need to explain more.
50 + 100n where n = 2
A study compared surgery and splinting for subjects suffering from carpal tunnel syndrome. It was found that among 73 patients treated with surgery,
there was a 92% success rate. Among 83 patients treated with splints, there was a 72% success rate. Calculations using those results showed that if
there really is no difference in success rates between surgery and splints, then there is about 1 chance in 1000 of getting success rates like the ones
obtained in this study. Which statement cannot be said?
The better treatment for carpal tunnel syndrome is surgery.
The result has practical significance.
The recommended treatment for carpal tunnel syndrome is splinting.
The result has statistical significance.
Answer:
the answer is c
Step-by-step explanation:
because if the surgery has a 92% success rate and the splints have a 72% success rate then surgery would be recommended because it has a higher success rate
The container that hold the water for the football team is 1/5 full after pouring in 13 gallons of water, it is 7/10 full how many gallons can the container hold
Answer:
100% = 65 Gallons; 70% = 45.5 Gallons
Step-by-step explanation:
The important piece of information here is that 13 gallons of water makes the container 1/5 of the way full, aka 20%. If the question is simply, how many gallons will it hold, then we multiply 13 by 5 to get 100% at 65 gallons. To get the amount held at 7/10, or 70%, we simply multiply 65 with 7/10 to get 45.5 gallons.
Cheers.
volume= (can someone explain please, im not really understanding this)
Not the greatest picture; I think it's trying to be a house, an A frame with a rectangular base.
This is a prism with a side 3 equilateral triangle at the end and a length of 6.
The area of the triangle is
[tex]\Delta = \dfrac{\sqrt{3}}{4} s^2[/tex]
The volume is area times length,
[tex]V = L \Delta = \dfrac{\sqrt{3}}{4} s^2 L[/tex]
[tex]V = \dfrac{\sqrt{3}}{4} (3^2) 6 = \dfrac{27}{2} \sqrt{3}[/tex]
Answer: (27/2) √3
Fake question: Should Wishing be a moderator? (If you could answer I'd appreciate it haha.)
Real question: Simplify [tex](z^3*z^2)-(y^4*y)[/tex]
Step-by-step explanation:
(z³*z²)-(y^4 *y) z^5 - y^5Answer:
[tex]z^5-y^5[/tex]
Step-by-step explanation:
=> [tex](z^3*z^2)-(y^4*y)[/tex]
When bases are same, powers are to be added
=> [tex](z^{3+2})-(y^{4+1})[/tex]
=> [tex]z^5-y^5[/tex]
P.s. Yessss, Wishing should be a moderator so that he can delete all the absurd or plagiarized answer!!!!!!!!
In the figure below, YZA and YZX are right angles, XYZ and AYZ are congruent, and XZ = 10. What is the length of ?
A.
25
B.
20
C.
10
D.
5
Answer:
C. 10
Step-by-step explanation:
The given information tells you that triangles YZX and YZA are congruent, so ZA = ZX = 10.
URGENT!! A product of the rational expression?
20
When converting from inches to feet, the measurement in inches, m, of an object varies directly with its measurement
in feet, f, with the constant of variation being 12.
What is the equation relating these two quantities?
Answer:
[tex]m=12f[/tex]
Step-by-step explanation:
The measurement in inches =m
The measurement in feet = f
We are told that: m varies directly with f
Written mathematically:
[tex]m\propto f[/tex]
Introducing the constant of variation, we have:
[tex]m=k f[/tex]
Given that: k=12
The equation relating these two quantities is:
[tex]m=12f[/tex]
I need help with this !!
Answer:
A
Step-by-step explanation:
When subtracting 7 on the left of the equation, he also needs to subtract 7 from the right of the equation.
Step 2 should be:
⅓X +7 -7= 15 -7
What he is trying to do here by subtracting 7 is to move all the constants, that is numbers without any variables such as x, to one side of the equation.
⅓X= 8
X= 8 ×3
X= 24
What is the image of the point by (-5,3) under a 270 rotation about the point (-7,-3)
Step-by-step explanation:
here, the given point is (-7,-3)
now, by the formula,
p(x,y)= p-1 (-y+a+b,x-a+b) ( p-1 is p das)
p(-5,3)= p-1 (-13,-1) is answer.
hope it helps..
A gift package contains 6 wedges of cheese . If each wedges is 2/3 onuce what is the totel weight in pounds of cheese?
Answer:
4 ounces
Step-by-step explanation:
6x2/3= 4
if you vertically stretch the expontial function f(x) = 2^2 by a factor of 5, what is the equation of the new function?
Answer:
g(x) = [tex]5(2^{2x} )[/tex]
Step-by-step explanation:
If a function f(x) is vertically stretched by a factor of k, the new function we get in the form of k.f(x).
Rule to be followed,
y = k.f(x)
Where k > 1
If the function is vertically compressed then 0 < k < 1
Following the same rule,
A function, f(x) = [tex]2^{2x}[/tex] when vertically stretched by a factor of 5,
Transformed function will be,
g(x) = [tex]5(2^{2x} )[/tex]
The average score of 100 students taking a statistics final was 70 with a standard deviation of 7. Assuming a normal distribution, what is the probability that a student scored greater than 65
Answer:
50
Step-by-step explanation:
50 because of the 100 of 79 to 7
(03.03)
The point R is halfway between the integers on the number line below and represents the number ____. (Use the hyphen for negative numbers and write the answer as a decimal, such as -6.4).
Answer:
Your answer is -3.5 which lies between -4 and -3.
The point R is halfway between the integers on the number line below and represents the number -3.5 .
A lease provides that the tenant pays $760 minimum rent per month plus 4% of the gross sales in excess of $150,000 per year. If the tenant paid a total rent of $20,520 last year, what was the gross sales volume?
Answer:
$435,000
Step-by-step explanation:
$760 per month * 12 months = $9,120
The minimum rent requires an annual rental cost of $9,120.
The annual rent was $20,520.
The excess was $20,520 - $9,120 = $11,400.
The amount of $11,400 of the rent was due to the gross sales in excess of $150,000.
$11,400 is 4% of the amount in excess of $150,000.
Let the amount in excess of $150,000 = x.
$11,400 = 4% of x
0.04x = 11,400
x = 285,000
$285,000 is the amount in excess of $150,000.
Total gross sales volume = $285,000 + $150,000 = $435,000
Please answer this correctly without making mistakes
Answer:
1.2 miles
Step-by-step explanation:
5.3 - 4.1 = 1.2 miles
Answer:
1.2 milesStep-by-step explanation:
5.3 - 4.1 = 1.2
1.2 miles difference.
This is because from Washington to Lanberry it is 4.1 miles. From Washington to Newberry it is 5.3., SO, if you subtract it you will get 1.2 miles difference.
Hope this helped,
kavitha
Alex is planning to surround his pool ABCD with a single line of tiles. How many units of tile will he need to surround his pool? Round your answer to the nearest hundredth.
Answer:
18.97 units
Step-by-step explanation:
Assume that the pool looks like the diagram below.
The pool consists of two equal right triangles.
We know that AB = CD = 3.16.
1. Find the length of the pool
AD = BC, and we can use Pythagoras' Theorem to calculate AD.
AB² + AD² = BD²
3.16² + AD² = 7.07²
9.986 + AD² = 48.98
AD² = 48.98 - 9.986 = 40.00
AD = 6.324
2. Find the perimeter of the pool
P = AB + BC + CD + DA =3.16 + 6.324 + 3.16 + 6.324 = 18.97
Alex will need 18.97 units of tile to surround the pool.
Alex will need 13.42 units of tile to surround his pool.
A coordinate plane with quadrilateral ABCD at A (0,3), B (2,4), C (4,0), and D (2,-1).
How to find the boundary of the pool?To find the units of tiles that are needed to surround the pool ABCD with a single line of tiles is equal to the perimeter of the rectangle
Perimeter of the rectangle = 2 length+2 width
In the figure, the width is given as 2.24 units and the diagonal is 5 units.
So we can find the length using the Pythagorean theorem, which is c²=a²+b².
Now, 5²=(2.24)²+b²
b=4.47 units
Now, the perimeter of the pool will be 2 (4.47)+2 (2.24)
= 8.94 + 4.48
The perimeter of the rectangle = 13.42 units
Thus, Alex will need 13.42 units of tile to surround his pool.
To learn more about the perimeter of the rectangle visit:
https://brainly.com/question/15287805.
#SPJ5
Which expression is equivalent to the expression below? StartFraction 6 c squared + 3 c Over negative 4 c + 2 EndFraction divided by StartFraction 2 c + 1 Over 4 c minus 2 EndFraction StartFraction 3 c (2 c minus 1) Over 2 c + 1 EndFraction StartFraction negative 3 c (2 c + 1) squared Over 4 (2 c minus 1) squared EndFraction 3c –3c
Answer:
its D. -3c
Step-by-step explanation:
just took the test
The expression that is equivalent to the expression [(6c² + 3c)/(-4c + 2)] ÷ [(2c + 1)/(4c - 2)] is; -3c
The fraction we are given to work with is;[(6c² + 3c)/(-4c + 2)] ÷ [(2c + 1)/(4c - 2)]
Simplifying the fraction equation by factorization gives:[3c(2c + 1)/(-2(2c - 1))] ÷ [(2c + 1)/(2(2c - 1)]
Now, in division of fractions, we know that;3/2 ÷ 1/5 is the same as; 3/2 × 5/1
Applying this same method to our question gives;
[3c(2c + 1)/(-2(2c - 1))] × [(2(2c - 1)/(2c + 1)]
2(2c - 1) is common and will cancel out to get; 3c(2c + 1)/(-1/(2c + 1))2c + 1 is common and will cancel out to get; -3cRead more about simplification of fractions at;https://brainly.com/question/6109670
23 increased by twice Janelle's savings Use the variable j to represent Janelle's savings.
Answer:
2x+23
Step-by-step explanation:
ATV sports commentator claims that 40% of all baseball
injuries are knee injuries. Assuming that this claim is true,
what is the probability that in a game with 5 reported injuries:
(use calculator)
a. None are knee injuries?
b. All are knee injuries?
c. At least three are knee injuries?
d. No more than 2 are knee injuries?
Mrs Tan has 2 daughters, Phoebe and Jody. The highest common factor and lowest common multiple of their ages are 3 and 168 respectively.If Phoebe is 3 years older than her sister, find her age.
Answer:
Phoebe's age = 24 years.
Step-by-step explanation:
Given:
Highest Common Factor and Lowest Common Multiple of the ages are 3 and 168 respectively.
Phoebe is 3 years older than Jody.
To find:
The age of Phoebe = ?
Solution:
Here, We have two numbers whose
HCF = 3 and
LCM = 168
Let the age of Phoebe = P years and
Let the age of Jody = J years
As per given statement:
[tex]P = J + 3 ...... (1)[/tex]
Let us learn about the property of LCM and HCF of two numbers.
The product of LCM and HCF of two numbers is equal to the product of the two numbers themselves.
LCM [tex]\times[/tex] HCF = P [tex]\times[/tex] J
[tex]\Rightarrow P\times J = 3 \times 168 \\\Rightarrow P\times J = 504[/tex]
Putting the value of P from equation (1):
[tex]\Rightarrow (J+3)\times J = 504\\\Rightarrow J^2+3J-504 = 0\\\Rightarrow J^2+24J-21J-504 = 0\\\Rightarrow J(J+24) - 21(J+24) = 0\\\Rightarrow (J - 21)(J+24) = 0\\\Rightarrow J = 21, -24[/tex]
Negative value for age is not possible So, Jody's age = 21 years
Using equation (1):
Phoebe's age = 21 + 3 = 24 years.
what is the value of this expression when a = 2 and b = -3 ? a^3 - b^3 / 5
Answer:
13 2/5
Step-by-step explanation:
a = 2 and b = -3
so the question asks whats.... a^3 - b^3/5
First we plug in the values of a and b
(2)^3 - (-3)^3 /5
Now we solve the ones in paranthesis first
(2)^3 = 8 because 2×2×2 and
-(-3)^3 forget about the - outside the parenthesis so
(-3)^3 = (-27) because (-3)×(-3)×(-3)
now we put it back together
8 -(-27)/5
the two minus become plus so
8 + 27/5
Now we solve it like fractions
8 and 27/5
simplify
13 and 2/5
Hope that helps!
11 Is what percent of 20?
Answer:
55%
Step-by-step explanation:
Because 11/20= 0.55
0.55=55%
Help please, this is annoying lol
Answer:
Cost=x25+200
Step-by-step explanation:
The amount of people is unknown but each person the cost will be $25 for refreshments per each passenger; the limo cost $200 once you figure out how many people will go to prom x will be, EXAMPLE: x=6 times $25 plus $200 which will give you the cost.
The second drop down menu on each question includes options: decimal place(s) or significant figure(s)
Answers:
A. 1 Decimal Place 92.2B. 4 Decimal Places 1.8164Step-by-step explanation:
I solved the problem.
I'm always happy to help :)In a circle with a radius of 8ft an arc is intercepted by a central angle of 135 degrees. What is the length of the arc?
A: 6.28 ft
B: 9.42 ft
C: 18.84 ft
D: 28.26 ft
Greetings from Brasil...
We know that the entire length of a circle its:
C = 2πR
C = 2π8
C= 16π circumference length
now rule of 3:
length º
16π --------- 360
X --------- 135
360X = 135 · 16π
X = 2160π/360
X = 6π or 18,84