Answer:
1,0,-1,-2,-3,-3/10
Step-by-step explanation:
5/4 = 1.25
Therefore 6 rational numbers between - 4 and 5/4:
1,0,-1,-2,-3,-3/10
The width of a rectangle is 2 less than twice its length. If the area of the rectangle is 72 cm, what is the
length of the diagonal?
The length of the diagonal is
cm.
Give your answer to 2 decimal places.
Answer:
Step-by-step explanation:
W=2L-2
A=72
LW=72
L(2L-2) = 72
2L^2 -2L= 72
2L^2 -2L-72=0
L^2 - L -36 = 0
L= -5.52 or 6.52(neg # not a solution)
W=11.04
L=6.52
DIAG = [tex]\sqrt{11.04^2+6.52^2}[/tex] = 12.82
~~~~~~~~~~~~~~
A random sample of 21 desktop PCs is selected. The mean life span is 6.8 years with a standard deviation of 2.4 years. Construct a 95% confidence interval for the mean life span of all desktop PCs. Assume that the life spans of all desktop PCs are approximately normally distributed (a) (5.85, 7.75) (b) (1.68, 3.12) (c) (5.60, 8.00) (d) (5.71, 7.89) (e) (5.77, 7.83)
Answer:
(d) (5.71, 7.89)
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 21 - 1 = 20
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 20 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.086
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.086\frac{2.4}{\sqrt{21}} = 1.09[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 6.8 - 1.09 = 5.71 years
The upper end of the interval is the sample mean added to M. So it is 6.8 + 1.09 = 7.89 years
So the confidence interval is (5.71, 7.89), and the correct answer is given by option b.
The graph of the function f(x) = 4 over 5 square root x is shown. What is the domain of the function?
Answer:
all real numbers greater than or equal to 0
Step-by-step explanation:
The domain of the function is whatever the input (in this case, x) can be. As you cannot take the square root of a negative number, x cannot be negative. Because you can take the square root of 0 (which is 0), x can be anything postive or 0, meaning anything greather than or equal to 0. The domain is all real numbers greater than or equal to 0.
I WILL MAKE YOUR ANSWER THE BRAINLIST MAKE SURE YOU ARE RIGHT
FIND THE VOLUME OF THE CONE
Answer:
301.59
Step-by-step explanation:
V=1/3hπr²
sorry in advance if its wrong, this is my 1st time answering this type of question. that's what i got for the answer
Do you guys know this
Answer:
Kindly check attached picture
Step-by-step explanation:
The expected graph is attached in the picture below :
Since additional fee is charged on only luggage exceeding 50 pound weight :
The inequality is :
Additional fee applied to :
Weight > 50
Hence x our arrows starts from 50 to the right of the number line
(I WILL MARK BRAINIEST, PLEASE HELP WITH THIS!!!!)
Every week, Katia’s parents randomly decide whether she, her sister Tracy, or her brother Adan takes out the trash. Katia wants to use a fair number cube labeled 1 through 6 to simulate the results of the next 5 weeks.
Select all of the possible ways of assigning the numbers that are fair.
A)The number 1 represents Katia, 2 represents Tracy, and 3 represents Adan.
B) The odd numbers represent Katia, and the even numbers represent her other siblings.
C) The numbers 1 and 2 represent Katia, 3 and 4 represent Tracy, and 5 and 6 represent Adan.
D) The numbers 1 and 3 represent Katia, 2 and 5 represent Tracy, and 3 and 6 represent Adan.
E) The numbers 1 and 6 represent Katia, 2 and 5 represent Tracy, and 3 and 4 represent Adan.
Answer:
c and e
Step-by-step explanation:
they each need to have 2 seperate numbers c and e do that!
Tony wants to save 10,000 in 6 years. Assuming interest rate what is the minimum he must save month to goal?
Answer:
Tony wants to save $10000 in 6 years. which is approx $123. Hence final answer is C) $123.
Answer:
c
Step-by-step explanation:
We have been given that Tony wants to save $10000 in 6 years.
That means future value S = $10000
Time t= 6 years
Interest rate = 4% yearly = 0.04 yearly
n=12 months per year
Now we have to find monthly payment to recieve $10000 in 6 years. so we need to apply monthly payment formula which is
which is approx $123.
Hence final answer is C) $123.
Need help finding the factor of 2y^2-2y-4
Answer:
hope it helps you............
Answer:
2(y - 2)(y + 1)
Step-by-step explanation:
Given
2y² - 2y - 4 ← factor out 2 from each term
= 2(y² - y - 2) ← factor the quadratic
Consider the factors of the constant term (- 2) which sum to give the coefficient of the y- term (- 1)
The factors are - 2 and + 1, since
- 2 × 1 = - 2 and - 2 + 1 = - 1 , then
y² - y - 2 = (y - 2)(y + 1)
Then
2y² - 2y - 4 = 2(y - 2)(y + 1) ← in factored form
2,45,250 students appeared for an entrance examination. If 94,750 students did not get admission, find how many students got admission.
can i please get the answer
Answer:
2.45.250- 94.750
= 92. 2975. this is the learners who got the admission
Answer:
1,50,500 students
Step-by-step explanation:
Hope this helps... vote as brainliest
Translate the phrase into an algebraic expression.
3 more than b
Answer:
b+3 or 3+b
Step-by-step explanation:
What is a half of 25% of 0.2 0f 200?
Answer: 5
Step-by-step explanation:
Data: Half of 25% of 0.2 of 200=x
Step one, Find 0.2 of 200
0.2=20%
20% of 100=20 so 20% of 200=40
Reason: 0.2 is another way of writing 20% so you can find 20% of 200 with a shortcut. basically since 20% of 100 is 20 and 200 is 100x2 you can just multiply 20x2 to get 20% of 200, which is 40.
Step two, Find 25% of 40
40/4=10 which means 4x10=40
10=25% of 40
Reason: Since percent is based of 100, we know that multiplying 25 by 4 will get us 100 so all we need to go to find 25% of something it divide it by 4. 40/4 is 10 so 10 would be 25% of 40(0.2 of 200)
Step three, Find half of 10
10/2=5
Reason: To find the half of anything, you insert the number(x) into here 'x/2' or just divide it by two, it's the same thing. And since 10/2 is 5 half of 10 is 5.
So, half of 25% of 0.2 of 200 is 5
I hope this helps!
Which of the following expressions is equivalent to 4 to the negative 3rd power
?
Answer:
[tex]4 ^{-3}[/tex]
or
[tex]\frac{1}{4^3}[/tex]
or
[tex]\frac{1}{64}[/tex]
Step-by-step explanation:
four to the negative power of 3 is = 4⁻³
Step-by-step explanation:
The answer is A (the first one). 4 to the negative 3rd power is 4^-3
giải phương trình vi phân: y" - 5y' + 6y = 6x + 7
Неоднородное ДУ второго порядка. Детали в аттаче.
What is the sum of 1/4 and 1/2?
Answer:
Thw sum of 1/4 and 1/2 is 3/4
Step-by-step explanation:
You have to put them in common like terms so
1/4 + 1/2 = ?
1/4 + 2/4 = 3/4
1/4 + 1/2
(1 + 1*2)/4
3/4
I hope it's help you...
Mark me as brainliest...
State the x- and y-intercepts.
1. y-intercept?
2. x-intercepts?
3. Is this parabola positive or negative?
1. Y-Intercepts are where the graph crosses the y-axis. For a parabola, this occurs once, at (0, -3) in the graph shown.
2. X-Intercepts are where the graph crosses the x-axis. For a parabola, this occurs twice, at (-1, 0) and (3, 0) in the graph shown.
3. A parabola that is positive opens upwards, while a parabola that is negative opens downwards. Therefore, this parabola is positive.
Hope this helps!! :)
Question 31 of 50
An electrician charges (1) an initial fee of $20 and then $30 per hour. Which linear equation represents this if (h) represents hours?
f = 20h + 30
f=30h + 20
f = 50h
Answer:
ok so if it is 30 dollars per hour so 30h plus 20 so
f=30h+20
Hope This Helps!!!
Determine the solution for the following equation: [tex](8x-8)^{\frac{3}{2} }=64[/tex]
a - x=3
b - x=5
c - 13
d - 65
Answer:
[tex]\text{A. }x=3[/tex]
Step-by-step explanation:
Recall the exponent property [tex]a^{b^c}=a^{(b\cdot c)}[/tex]. Therefore, we can square both sides of the equation to get rid of the fraction in the exponent:
[tex]((8x-8)^{\frac{3}{2}})^2=64^2,\\(8x-8)^{\frac{3}{2}\cdot2}=64^2,\\(8x-8)^3=4096[/tex]
Take the cube root of both sides:
[tex]8x-8=16[/tex]
Add 8 to both sides:
[tex]8x=24[/tex]
Divide both sides by 8 to isolate [tex]x[/tex]:
[tex]x=\frac{24}{8}=\boxed{3}[/tex]
Hello, could you help me understand how to solve this question. Thank you. Also could you explain what does "How does this ratio compare to the scale factor?"
Answer:
Step-by-step explanation:
I think the quotient of the ratio is the scale factor.
C'A' / CA = 8/4 = 2
So since the scale factor is 2 it means that the triangle on the right has dimensions that are twice those of the triangle on the left.
If you need more, let me know.
Will mark brainliest if CORRECT
Answer:
For every 7 hair bands there will be 4 ribbons
7 hair bands →→ 4 ribbons
14 hair bands →→ 8 ribbons
21 hair bands →→ 12 ribbons
etc.
1, Find the interior angle of a regular polygon with 20 sides. What is the size of exterior angle?
2, Calculate the
(I) exterior angle
(ii) the number of sides of a regular polygon with an interior angle of
(a) 60° (b) 72° (c) 165°
Answer:
Step-by-step explanation:
1) (20 -2) * 180 = 3240 (sum of the inner angles)
3240 : 20 = 162 degrees
2) (I) 180 - 162 = 18 degrees
(ii)
a = 3 (it is an equilateral triangle)
b = 5 (it is a pentagon)
c = 24
Answer:
1. 180(n-2) gives you the angle sum
devide by n to get the value of one interior angle
n are the number of sides, or corners
180(20-2)/20 = 162° is the interior angle.
the exterior angle is just 360°-162° = 198°
2i) seems to be included in 1), pls clarify if that's not the case.
remember
180(n-2)/n = int.angle
let's do this with (a) 60°
180(n-2)/n = 60
(180n-360)/n = 60 |*n
180n-360 = 60n |-180n
-360 = -120n |/(-120)
3 = n
2iia) 3 sides / triangle
2iib) 5 sides / pentagon
2iic) 24 sides
Find the oth term of the geometric sequence 9, -18,36,...
Pls helpllllll
Step-by-step explanation:
oth term ? please check.
√45 is the distance between which of the following complex numbers?
Step-by-step explanation:
we don't see the complex numbers.
so, we cannot check their distances.
a suspicion, though.
sqrt(45) a distance between 2 complex numbers is
sqrt(a² + b²).
so,
a² + b² = 45
a nice combination of whole square numbers would be 6 and 3.
6² + 3² = 36 + 9 = 45
if that is the case, then that would mean one of the following committed numbers
6 + 3i
3 + 6i
-6 + 3i
6 - 3i
-6 - 3i
-3 + 6i
3 - 6i
-3 - 6i
one of these numbers must be the result of the subtraction of the 2 provided complex numbers.
remember
(a + bi) - (c + di) = a-c + (b-d)i
Right angle Trigonometry, please help me solve and explain!
Answer:
theta = arctan 8/5 = 58 degrees
Step-by-step explanation:
The tangent function relates the angle theta to the two side lengths 5 and 8:
tan theta = 8/5 We need to find the angle, theta.
Using a calculator with the inverse tangent funtion built-in, we find that the angle theta is
theta = arctan 8/5 = 58 degrees.
ou are setting up a part-time business with an initial investment of $21,000. The unit cost of the product is $11.60, and the selling price is $20.00. (a) Find equations for the total cost C (in dollars) and total revenue R (in dollars) for x units.
Answer:
Total Cost, C(x) = 21000 + 11.60x
Revenue, R(x) = 20(x)
Step-by-step explanation:
Given the investment, which is fixed cost = $21000
Per unit cost of product = $11.60
Selling price = $20
Total cost is the sum of fixed cost and the variable cost:
Thus, TC = FC + VC
Let the number units = x
C(x) = 21000 + 11.60x
Now the total revenue:
R(x) = 20(x)
Calcular la Media Aritmética, la Mediana, la Moda y el Rango de los siguientes conjuntos de datos, anotando todas las operaciones que sean necesarias:
c) 45, 78, 78, 98, 46, 67, 78, 55, 47, 89
d) 8, 78, 52, 567, 345, 52, 17, 57, 589, 80, 89
e) 7, 8, 9, 5, 7, 3, 7, 9, 4, 3, 7, 6
f) 15, 17, 18, 11, 15, 16, 13, 15, 17, 18, 15, 13, 12, 17, 15, 15, 16
ayudaaaaaaaaaaaaaaaa
Answer:
(c) La media aritmética: 68.1
La mediana: 72.5
La moda: 78
La rango: 45 - 98
(d) La media aritmética: 175.81818181818 (175.8)
La mediana: 78
La moda: 52
La rango: 8 - 589
(e) La media aritmética: 6.25
La mediana: 7
La moda: 7
La rango: 3 - 9
(f) La media aritmética: 15.176470588235 (15.2)
La mediana: 15
La moda: 15
La rango: 11 - 18
Step-by-step explanation:
¡Espero que esto haya ayudado!
Find the value for the side marked below.
Round your answer to the nearest tenth.
47
у
74°
y = [?]
Answer:
y ≈ 13.5
Step-by-step explanation:
In the given right triangle we have to find the measure of unknown side 'y'.
Since, measure of opposite side and adjacent side of the angle measuring 74° have been given,
We will use tangent ratio for the given angle.
tan(74°) = [tex]\frac{\text{Measure of opposite side}}{\text{Measure of adjacent side}}[/tex]
tan(74°) = [tex]\frac{47}{y}[/tex]
y = [tex]\frac{47}{\text{tan}(74^{\circ})}[/tex]
y = 13.48
y ≈ 13.5 units
a system of regular payments for when something bad happens
a. Directly b. Reasonable c. Insurance
d. Tuition
the answer is b. insurance
identify the 3D shape
Answer and Step-by-step explanation:
The 3D shape shown is a rectangle. This is the net-form of a rectangle.
#teamtrees #PAW (Plant And Water)
Answer:
rectangular prism
Step-by-step explanation:
a rectangle is not 3d. a rectangle is 2d. the correct answer is a rectangular prism.
the polynomial whoes zeroes are 5 and 4 is
Answer:
If -5 and 4 are the zeroes of the polynomial, Then , (X+5) and (X-4) are the factors of the polynomial. This is the required polynomial.
Hope this answer is right!!
A patient needs 0.5L of ½ NS over 120 minutes. What is the flow rate in mL/hr?
Answer:
250mL/1hr
Step-by-step explanation:
0.5L over 120 minutes
0.25L over 60 minutes
250mL over 60 minutes