Answer:
b) yes
The manufacturer has the right to state that the light bulbs last on average 400 hours
Step-by-step explanation:
Explanation:-
Given sample size 'n' = 64
Given standard deviation of the Population (σ)=100
Mean of the sample (x⁻) = 350 hours
95% of confidence interval is determined by
[tex](x^{-} -Z_{0.95} \frac{S.D}{\sqrt{n} } , x^{-} +Z_{0.95} \frac{S.D}{\sqrt{n} } )[/tex]
([tex](350 -1.96 \frac{100}{\sqrt{64} } , 350+1.96\frac{100}{\sqrt{64} } )[/tex]
(350-24.5 , 350+24.5)
(325.5 , 374.5)
Conclusion:-
Yes
The manufacturer has the right to state that the light bulbs last on average 400 hours
Use the commutative and associative properties as needed to simplify the expression. (12+a)+14
Answer:
26+a
Step-by-step explanation:
(12+a)+14
(12+14)+a
26+a
There are 12 peaches and 8 bananas in a fruit basket. You get a snack for yourself and three of your friends by choosing of the pieces of fruit at random. 1)What is the probability that all 4 are peaches! 2)what is the probability that all 4 are bananas?
Answer:
10.2% chance
Step-by-step explanation:
There are 12 peaches and 8 bananas for a total of 20 pieces of fruit.
So we can write it:
[tex]\frac{12}{20} * \frac{11}{19} * \frac{10}{18} * \frac{9}{17}[/tex] = [tex]\frac{11880}{116,280}[/tex] = .102 or 10.2% chance
For ease multiply all numerators (top numbers) together, then multiply the denominators (bottom numbers) together, and then divide.
12 * 11 * 10 * 9 = 11880
20 * 19 * 18 * 17 = 116,280
We start with 12 peaches and 20 total fruit, as we select a peach the number of peaches and total fruit goes down by one. We do this 4 times because you draw 4 fruits. If you select 1 fruit your chances of it being a peach are 12/20, each time you select a fruit the chances of it being a peach go down because you have 1 less total fruit, and 1 less peach. This is why you multiply each probability together.
six people working for five days were paid a total of sh 6000.how many more money could the same number of be paid for 12 days???
Answer:
6000
Step-by-step explanation:
6 people paid for 5 days= 6000
1 person paid for 1 day= 6000/6
=1000
6 people paid for 12 days= 1000x 12
= 12000
12000- 6000= 6000
The length of a new rectangular playing field is 4 yards longer than quadruple the width. If the perimeter of the rectangular playing field is 488 yards, what are its dimensions?
Answer:
w = 48
w = 196
Step-by-step explanation:
Width = w
Length = l = 4 + 4w
Use the values for length and width above along with the given value for perimeter in the formula for perimeter.
P = 2l + 2w
488 = 2(4 + 4w) + 2w
488 = 8 + 8w + 2w
488 = 8 + 10w
488 - 8 = (8 + 10w) - 8
480 = 10w
(480)/10 = (10w)/10
48 = w
w = 48
The width is 48 yards. Use this value to solve for length.
l = 4 + 4w
l = 4 + 4(48)
l = 4 + 192
l = 196
The length is 196 yards.
An employee earns $2,300 each pay period. He is paid on the first and fifteenth
of each month. How much does he earn in one year?
Answer:
55,200
Step-by-step explanation:
The employee is paid twice a month. There are 12 months in a year. He is paid 12x2=24 times a year.
Multiply the pay per period by the number or pay periods
=2,300x24
=55,200
Simplify a - b - [C- (d - e) - f] - g).
O a-b+C - d+e+f-g
O a - b + C-d + e-f+g
O a + b + C-d + e-f+g
O a+b+c+d+e-f+g
Answer:
a-b-C+d-e+f-g
Step-by-step explanation:
Steps
$a-b-\left(C-\left(d-e\right)-f\right)-g$
Show Steps
$-\left(d-e\right):\quad-d+e$
$=a-b-\left(C+e-d-f\right)-g$
Show Steps
$-\left(C-d+e-f\right):\quad-C+d-e+f$
$=a-b-C+d-e+f-g$
how to find the area
Step-by-step explanation:
multiple height by width
Answer:
Area of a square: side × side
Area of a circle: π[tex]r^{2}[/tex]
Area of a triangle: [tex]\frac{1}{2}bh[/tex] (1/2 × base × height)
I don’t have a clue on what to do need help
Answer:
5x+2.25v=c
Step-by-step explanation:
$5 member fee and 2.25per video add then mutiply
la empresa Delta Energy cobra a sus consumidores de energía eléctrica una tarifa de $5 por mes más $0,10 por cada kilowatt-hora. exprese el costo mensual "C" en función de la energía "E" consumida.
Answer:
C=0,10E+5
Step-by-step explanation:
De acuerdo a la información dada, la expresión debe indicar que el costo mensual "C" es igual al resultado de multiplicar la energía "E" consumida por el precio de cada kilowatt-hora y a esto se le debe sumar la tarifa por mes. De acuerdo a esto, el costo mensual se debe expresar de la siguiente forma:
C=0,10E+5
x + 2y = 33
x-y = 11
Answer:
[tex]x=\frac{55}{3},\:y=\frac{22}{3}[/tex]
Step-by-step explanation:
Solve by Elimination
[tex]\begin{bmatrix}x+2y=33\\ x-y=11\end{bmatrix}[/tex]
[tex]\begin{bmatrix}x+2y=33\\ -3y=-22\end{bmatrix}[/tex]
[tex]-3y=-22[/tex]
Divide -3 on both sides
[tex]y=\frac{22}{3}[/tex]
[tex]x+2\cdot \frac{22}{3}=33[/tex]
[tex]\mathrm{Subtract\:}2\frac{22}{3}\mathrm{\:from\:both\:sides}[/tex]
[tex]x+2\cdot \frac{22}{3}-2\cdot \frac{22}{3}=33-2\cdot \frac{22}{3}[/tex]
[tex]x=\frac{55}{3}[/tex]
[tex]x=\frac{55}{3},\:y=\frac{22}{3}[/tex]
Which of the following is the definition of the Distributive Property?
O A. For all real numbers a, b, and c, if a = b, then a+c=b+C.
O B. For all real numbers a, b, and c with c# 0, if a = b, then ca = cb.
O C. For all real numbers a, b, and c, a(b + c) = ab + ac.
a
OD. For all real numbers a, b, and c with c# 0, if a = b, then
-
C
nt
Answer:
Option C
Step-by-step explanation:
The distributive property states that:
[tex]a(b+c)=ab+ac[/tex]
You have to multiply 'b' and 'c' by 'a' to completely distribute.
Example using Distributive Property:
[tex]4(3+5)\\\\\rightarrow\text{Distribute: }4(3+5)=4(3)+4(5)\\\\4(3+5)=12+20\\\\4(3+5)=32[/tex]
Hope this helps.
Answer:
I'm pretty sure its C.
Step-by-step explanation:
cause a would be distributed into b and c. so
a(b+c)
ab +ac
which will then become ab+ac
im bad at explaining sorry
Solving these Quadratics for x using factoring 2x^2+5x = 3
Answer:
x = 1/2 ; x = -3
Step-by-step explanation:
To solve this problem, we first need the quadratic to be set equal to x. Then, we can use factoring to solve for the values of x.
2x^2 + 5x = 3
2x^2 + 5x + -3 = 3 + -3
2x^2 + 5x + -3 = 0
Note that the first term's coefficient is 2. This factors into 1 and 2.
Note that the third term's coefficient is -3. This factors into 3 and -1.
From here, we will simply create the binomial factors for the quadratic.
(2x - 1) (x + 3) = 0
2x - 1 = 0 ; x + 3 = 0
2x - 1 + 1 = 0 + 1 ; x + 3 + -3 = 0 + -3
2x = 1 ; x = -3
2x * 1/2 = 1 * 1/2 ; x = -3
x = 1/2 ; x = -3
So our solutions for this quadratic equation are x = 1/2 or x = -3.
Cheers.
Solution:
2x²+5x=3
Using Factorisation method,
2x²+5x-3=0
2x²+6x-x-3=0
2x(x+3)-1(x+3)=0
(2x-1)(x+3)=0
2x-1=0 and x+3=0
x=1/2 and x=-3
Evaluate the expression. Drag the answer into the box to match the expression. 27•((3^3)^-1) a. 27 b.3 c.1 D.1/9 100 POINTS help 100!
Answer:
[tex]\Huge \boxed{\mathrm{C. \ 1}}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
[tex]27 \cdot ((3^3)^{-1})[/tex]
Multiplying exponents.
[tex]27 \cdot 3^{-3}[/tex]
Rewriting 27 with base 3.
[tex]3^3 \cdot 3^{-3}[/tex]
Adding exponents since bases are the same.
[tex]3^0 =1[/tex]
[tex]\rule[225]{225}{2}[/tex]
Answer:
C. 1
Step-by-step explanation:
27 * {(3³)⁻¹}
= 27
3³
= 27
27
= 1
Write an equation that represents the line.
Answer:
Hey there!
The equation would be y=-1/2x-3.5
Hope this helps :)
The purchase price of an iPad is $650. What is the total price if the sales tax rate is 8% and there is a 15% off sale today?
Answer:
Original cost + tax = Total cost
650+0.08(650) =
650+52 = $702
Answer:
$599.72
Step-by-step explanation:
8% of 650 is $52 so you add that to $650 which comes up to $702, then you find 15% of the total price, which is $105.30 you subtract that from the total price and you come up with $599.72.
Write the slope-intercept form of the line passing through (–8, –5) and (4, 4).
Answer:
[tex]\Huge \boxed{y=\frac{3}{4} x+1}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
We can find the slope through two points.
m = (y2 - y1)/(x2 - x1)
m = (4 - -5)/(4 - -8)
m = 9/12 = 3/4
The slope of the line is 3/4.
Slope-intercept form of a line is y=mx+b. Where m is the slope and b is the y-intercept.
y = 3/4x + b
A point on the line is (4, 4). x = 4 and y =4.
4 = 3/4(4) + b
4 = 3 + b
b = 1
The y-intercept is 1.
[tex]\rule[225]{225}{2}[/tex]
Answer:
[tex]\huge\boxed{y = \frac{3}{4}x+1}[/tex]
Step-by-step explanation:
Finding the slope (m) first:
Given the coordinates (-8 , -5) and ( 4 , 4 )
Slope = [tex]\sf \frac{Rise}{Run}[/tex]
Slope = [tex]\sf \frac{y2-y1}{x2-x1}[/tex]
Slope = [tex]\frac{4 + 8}{4+5}[/tex]
Slope = [tex]\frac{12}{9}[/tex]
Slope = m = [tex]\frac{3}{4}[/tex]
Finding y - intercept (b) :
Taking a coordinate say (4,4)
And putting it in slope intercept form along with b
y = mx+b
Where y = 4 , m = 3/4 and x = 4
4 = (3/4)(4) + b
4 = 3+b
4-3 = b
1 = b
So,
b = 1
Putting m and b now in slope-intercept equation:
y = mx+b
[tex]y = \frac{3}{4}x+1[/tex]
Ohio's license plates have 4 letters followed by 3 numbers. If the same number CANNOT be repeated, how many license plates can be made?
Answer:
175,760, 000 plates
Step-by-step explanation:
There are 3 spots where there are 26 choices each
(=26^3)
and 4 spots where there are 10 choices each (the digits 0 through 9, =10^4). This gives:
26^3 x 10^4 = 175,760,000 plates
Hope this helps!
Choose the appropriate symbol to indicate the relationship
between the numbers:
24___240
O A. 24 < 240
O B. 24 >240
O C. 24 = 240
Answer:
a
Step-by-step explanation:
6. Find the areas of the rectangles with the following side lengths.
a. 5 in and 1/3 in
c. 5/2 in and 4/3 in
b. 5 in and 4/3 in
c. 2/5 in and 4/3 in
d. 7/6 in and 6/7 in
I need an explanation on how you got the answer
b(n) = -1 (2)^n-1 What is the 5th term in the sequence?
Answer:
The answer is - 16Step-by-step explanation:
[tex]b(n) = - 1 ({2})^{n - 1} [/tex]where
n is the number of terms
From the question since we are finding the 5th term
n = 5
Substitute the value into the above formula and solve
We have
[tex]b(5) = - 1({2})^{5 - 1} \\ = - 2 ^{4} [/tex]
We have the final answer as
- 16Hope this helps you
The height of a triangle is 8 m more than the length of the base. The area of the triangle is 21 m^2. Find the height of the triangle
Answer:
height = 12 cmStep-by-step explanation:
Area of a triangle is given by
[tex]A = \frac{1}{2} bh[/tex]
where
b is the base
h is the height
From the question
Area = 21 m²
The statement
The height of a triangle is 8 m more than the length of the base is written as
h = 8 + b
Make b the subject
That's
b = h - 8
Substitute the expression into the above formula and solve for the height
That's
[tex]21 = \frac{1}{2} (h - 8)h[/tex]
Multiply through by 2
h² - 8h = 48
h² - 8h - 48 = 0
(h + 4)(h - 12) = 0
h + 4 = 0 h - 12 = 0
h = - 4 h = 12
Since the height cannot be a negative number we have the final answer as
height = 12 cmHope this helps you
"When comparing the means of two independent samples, the population standard deviations will almost always be"
Answer: Check this answer!
Step-by-step explanation:
The comparison of two independent population means is very common and provides a way to test the hypothesis that the two groups differ from each other. Is the night shift less productive than the day shift, are the rates of return from fixed asset investments different from those from common stock investments, and so on? An observed difference between two sample means depends on both the means and the sample standard deviations. Very different means can occur by chance if there is great variation among the individual samples. The test statistic will have to account for this fact. The test comparing two independent population means with unknown and possibly unequal population standard deviations is called the Aspin-Welch t-test.
In simple terms, The population standard deviation is a parameter, which is a fixed value calculated from every individual in the population. A sample standard deviation is a statistic. This means that it is calculated from only some of the individuals in a population. Since the sample standard deviation depends upon the sample, it has greater variability. Thus the standard deviation of the sample is greater than that of the population
Because: reason:
Since the sample standard deviation depends upon the sample, it has greater variability. Thus the standard deviation of the sample is greater than that of the population.
HOPE IT HELPS YOU, IF IT HELPS PLEASE MARK THE BRAINLIEST BECOZ IT TOOK ME QUITE WHILE TO WRITE TO YOU...
Please help me. 46 points! Need this asap
Answer:
39 meters
Step-by-step explanation:
We know the bottom distance ( 20-13) = 7
And we know the height 15-0 =15
We can use the Pythagorean theorem to find the hypotenuse
a^2 + b^2 = c^2
7^2 + 15^2 = c^2
49+225 = c^2
274 = c^2
Taking the square root of each side
sqrt(274) = c
We want the perimeter
a+b+c
7+15+sqrt(274)
22+sqrt(274)
22+16.55294536
38.55294536
Rounding to the nearest meter
39 meters
Answer:
[tex]\huge \boxed{\mathrm{39 \ meters}}[/tex]
Step-by-step explanation:
The perimeter of the right triangle is required.
The base of the triangle is 7 units.
The height of the triangle is 15 units.
The hypotenuse can be found through Pythagorean theorem.
a² + b² = c²
7² + 15² = c²
49 + 225 = c²
274 = c²
c = [tex]\sqrt{274}[/tex]
Adding all the three sides of the right triangle to get the perimeter.
P = a + b + c
P = 7 + 15 + [tex]\sqrt{274}[/tex]
P = 38.552945...
The perimeter of the right triangle is 39 meters rounded to nearest meter.
Simplify (9x-1)^-1/2 - (x+2)(9x-1)^-1/2
Answer:
Step-by-step explanation:
(9x-1)^-1/2 - (x+2)(9x-1)^-1/2
= (9x-1)^-1/2( 1 - (x + 2))
= (9x-1)^-1/2(-1 - x)
= -(x + 1)(9x-1)^-1/2
= -(x + 1) / (9x-1)^1/2
D=xlx is a whole number)
E = {xlx is a perfect square between 1 and 9)
F={xlx is an even number greater than or equal to 2 and less than 9)
Which of the following is an element of D n (E n F)?
16
3
6
4
Answer:
Option (4)
Step-by-step explanation:
D = {x| x is a whole number}
D = {1, 2, 3, 4..........}
E = {x | x is a perfect square between 1 and 9}
E = {4}
F = {x | x is an even number greater than 2 and less than 9}
F = {2, 4, 6, 8}
(E ∩ F) = Set of common numbers of E and F
= {4}
D ∩ (E ∩ F} = Set of common numbers in the sets of D and (E ∩ F)
= {4}
Therefore, Option (4) will be the answer.
A library charges $0.25 a day for a late book plus
a $050 service charge. A book is 7 days late
How much money is owed?
Write a algebraic expression and evaluate
Answer:
y = 0.50 + 0.25x
y = 2.25
Step-by-step explanation:
[tex]y = 0.50 + 0.25x\\x = 7\\y = 0.50 + 0.25(7)\\y = 0.50 + 1.75\\y = 2.25[/tex]
where y is the money owed, and x is the number of days a book is late.
List the smallest three values in the set below. {x | x ∈ N and 20 < x}
Answer:
21, 22 and 23Step-by-step explanation:
Given the set A = {x | x ∈ N and 20 < x} , from the set it can be seen that the element of the set are natural numbers where 20< x.
If 20< x
reciprocating both sides will change the sense of the inequality
1/20>1/x
cross multiply
x > 20
This means that the values of x are values grater than 20.
The smallest three values will be the smallest three natural numbers greater than 20 and they are 21, 22 and 23. Note that natural numbers are whole numbers.
The price of a stock decreased by 60 cents one week, decreased 10 cents the next week, and decreased another 20 cents the following week. What is the average change in the price of the stock over the three weeks? –270 cents per week –90 cents per week –87 cents per week –30 cents per week
Answer:
30 cents per week
Step-by-step explanation:
The average is the sum of the numbers divided by how many there are.
60 + 10 + 20 = 90
90/3 = 30
Answer:
-30 per cents week !
Step-by-step explanation:
The distributions of X and of Y are described here. If X and Y are independent, determine the joint probability distribution of X and Y.
Answer:
The joint probability distribution of X and Y is shown below.
Step-by-step explanation:
The distributions of X and of Y are described as follows:
X : 0 1
P (X) : 0.23 0.77
Y : 1 2 3
P (Y) : 0.40 0.22 0.38
It is provided that X and Y are independent.
That is:
P (X ∩ Y) = P (X) × P (Y)
Compute the joint probability distribution of X and Y as follows:
[tex]P(X=0,Y=1)=P(X=0)\times P(Y=1)=0.23\times 0.40=0.92\\\\P(X=0,Y=2)=P(X=0)\times P(Y=2)=0.23\times 0.22=0.0506\\\\P(X=0,Y=3)=P(X=0)\times P(Y=3)=0.23\times 0.38=0.0874\\\\P(X=1,Y=1)=P(X=1)\times P(Y=1)=0.77\times 0.40=0.308\\\\P(X=1,Y=2)=P(X=1)\times P(Y=2)=0.77\times 0.22=0.1694\\\\P(X=1,Y=3)=P(X=1)\times P(Y=3)=0.77\times 0.38=0.2926[/tex]
X 0 1
Y
1 0.9200 0.3080
2 0.0506 0.1694
3 0.0874 0.2926
1) Create a box plot comparing the score of the boyd and girls as best you can
2) write a brief report of these results, write the shape, center, and spread.
Answer:
dk man
Step-by-step explanation: