Answer:
(10.891; 15.869)
Step-by-step explanation:
Given the data::
15, 11, 19, 24, 6, 18, 20, 15, 18, 12, 14, 19, 5, 21, 12, 11, 8, 10, 7, 2, 14
The confidence interval is obtained using the relation :
Mean ± margin of error
Margin of Error = Zcritical * s/sqrt(n)
Using a calculator, the mean value of the data and standard deviation above is :
Mean = Σx / n ; n = sample size
Mean, xbar = 281 / 21
Mean = 13.38
Standard deviation , s = sqrt[Σ(X - xbar)²/ n-1]
Standard deviation, s = 5.82
Margin of Error = Zcritical * s/sqrt(n)
Zcritical at 95% confidence level = 1.96
Margin of Error = 1.96 * 5.82/sqrt(21) = 2.489
Confidence interval :
Mean ± margin of error
13.38 ± 2.489
Lower boundary = (13.38 - 2.489) = 10.891
Upper boundary = (13.38 + 2.489) = 15.869
(10.891; 15.869)
Select the correct answer.
What is the factored form of this expression?
X^2 - 12x + 36
OA. (x+6)^2
OB. (x - 12)(x - 3)
OC. (x-6)^2
OD. (x-6)(x+6)
Answer:
C
Step-by-step explanation:
since -6 and -6 are factors of 36 that add up to equal -12, the factored form of the expression is (x-6)^2.
10th grade geometry question. I will give brainliest. NEED HELP ASAP
Answer:
(-4+5)-1
Step-by-step explanation:
An item on sale costs 85% of the original price. The original price was $33.
Use the ALEKS calculator to find the sale price.
?
Answer: 28.05
Step-by-step explanation:
Between 2002 and 2012 the population of the town Astopia fell by 4%.
If the population in 2012 was 252,960 find the population of the town in 2002.
Answer:
https://studyandanswers.com/mathematics/question18362805#
Step-by-step explanation:
The list below shows the different choices of pizza at the local pizza shop: Pepperoni: 11 Supreme: 7 Cheese: 6 Hawaiian: 3 Based on these results, what is the theoretical probability of choosing a Hawaiian Pizza?
Step-by-step explanation:
11 + 7 + 6 + 3 = 27
total amount of pizza = 27
Hawaiian pizza = 3
3/27 = 1/9
x^2 +10x+21 factor this
Answer:
(x+3)(x+7)
Step-by-step explanation:
3 and 7 are factors of 21, and they add up to 10.
Which of the following is not an exterior angle of triangle BHE
Answer:
I dont know
Step-by-step explanation:
Solve 58 - 10x * 20 * 9x.
O A rs-2
B. X-2
C. XS2
O D. x22
1.4
2
Lawrence wants to drive from Durban to Johannesburg 550 km. if he travels at
an average speed of 100 km/hr, how long does he tale to get there?
If he leaves at 08:42 what time will he arrive at his destination
1.5
2
Answer:
5 hr 30 minutes
2:12 pm
Step-by-step explanation:
s= 550km
v = 100km/hr
t = ?
SPEED = DISTANCE/ TIME TAKEN
or, v = s/t
or, 100km/hr = 550km/ t
or, t = 550/100
t = 5.5
t = 5 hrs 30 minutes
8:42
+5:30
13 :72
which is 14 :12 = 2 :12
PLEASE HELP BRAINLIEST.
Answer:
98 cm^2
Step-by-step explanation:
it contains 8 right triangles and one square;
the area of the square = 8 x 8 = 64
.
the area of all the traingles; 4 x 8 = 32
.
sum up; 32 + 64 = 98 cm^2
y = –3x + 7
y = 2x – 8
Answer:
Step-by-step explanation:
Using the comparison, substitution, and elimination method, the answer is:(x,y)=(3,-2)
When rewriting the equation the answer is:
3x+y=7
2x-y=8
A company has recently been hiring new employees. Today the company has 26% more employees than it did a year ago. If there are currently 56,700 employees, how many employees did the company have a year ago?
Answer:
I am pretty sure 237
Step-by-step explanation:
A car is traveling at a speed of y miles per hour. which situation would be described by the expression 1.2y?
Elijah's uncle gave him $300 to spend on baseball equipment. He bought a pair of cleats for $69.99, two baseball jerseys for $32.99 each, a new glove for
$79.99 and two pair of socks for $6.99 each. Without including tax, to the nearest dollar, how much money did Elijah have left?
9514 1404 393
Answer:
$70
Step-by-step explanation:
The amount Elijah has remaining is ...
$300 -(70 +2×33 +80 +2×7) = $300 -(70 +80 +2(33 +7)) = $300 -230 = $70
To the nearest dollar, Elijah has $70 left.
_____
Each amount is within a penny of the nearest dollar, so we can simply use the nearest dollar amounts for the prices. In order for the answer to be different, Elijah would have to purchase 50 or more items with this pricing (something.99).
HOW LONG IS PQ?
special right triangles khan academy
Answer:
Step-by-step explanation:
The side opposite to the angle 30 degree in right triangle is half of hypothenuse.
Pleaseeee helpppppppp
Which integer represents 4° below zero
A: 0
B:4
C: -4
D: -0
A family decides to put tiles in the entryway of their home. The entryway has an area of 7 square meters. If each tile is 5 centimeters by 5 centimeters, how many tiles will it take to cover the entryway?
It will take ______ tiles to cover the entryway.
9514 1404 393
Answer:
2800 tiles
Step-by-step explanation:
Each tile has an area of (0.05 m)² = 0.0025 m². Then the number of tiles required to cover 7 square meters is ...
(7 m²)/(0.0025 m²/tile) = 2800 tiles
It will take 2800 tiles to cover the entryway.
Solve for x 103 (3x+4)
Amy buys 22 envelopes for 13p each and pays with a £5 note.
How much change does she get?
Give your answer in pounds, £.
What's 2+2 ?
First one to answer gets cash prize!
Answer:
4
(if this is a joke then the answer's 5, a fish, etc...)
Answer:
4
Step-by-step explanation:
For which color is the difference between the theorectical probability and experimental probability greatest? A. Brown; The experimental probability is 19.52%, and the theoretical probability is 25%. B. Orange; The experimental probability is 18.9%, and the theoretical probability is 15%. C. Yellow; The experimental probability is 16.96%, and the theoretical probability is 20%. D. Green; The experimental probability is 22.7%, and the theoretical probability is 15%.
Answer: green
Step-by-step explanation:
Find the simple interest
$154.40 for 4 years at 8 1/2%
Answer:
$52.50 (rounded)
Step-by-step explanation:
I = Prt
I = 154.4(.085)(4)
I = 52.496
Find the variance of the data. 22, 34, 7, 27, 25 x = 23 Variance (²) = [?]
Therefore, the variance (²) of the data. 22, 34, 7, 27, 25 x = 23 is 79.6.
Variance calculation
To find the variance of a set of data, you can follow these steps.
Calculate the mean of the data set.
Mean = (22 + 34+ 7 +27 +25)= 23.
Substract the mean from each data point and square.
(22 -23)² =1
(34 -23)² =121
(7-23)² =256
(27-23)² =16
(25 -23)² =4
Find the mean of the squared differences.
The mean of squared differences = (1 + 121+ 256+ 16+ 4) /5 = 79.6
Therefore, the variance (²) is 79.6.
Learn more about variance below.
https://brainly.com/question/30125349
#SPJ1
Each side length is doubled. What is the AREA of the new figure?
Answer:
24 square units
Step-by-step explanation:
When the sides are doubled, new figure so obtained will have:
Base (b) = 2*3 = 6 units
Height (h) = 2*4 = 8 units
Area of the figure when each sides are doubled
[tex] = \frac{1}{2} \times b \times h \\ \\= \frac{1}{2} \times 6 \times 8 \\ \\ = 3 \times 8 \\ \\ = 24 \: square \: unite[/tex]
How to find rate of change on a table
Answer:
__X__l__Y_
1 l 3
5 l 6
9 l 9
13 l 12
17 l 15
21 l 18
On the right side, the numbers get larger by adding three each time. On the left side, the numbers get larger by adding 4 each time. It would be the same for any other pair of numbers when you add 4 to the left, and 3 to the right. For instance, the next pair would be (25 , 21). 25 would be the X value, and 21 would be the Y value.
nabiha wants to decorate her home for an upcoming party she bought a roll of ribbon from "dollarama" which is 3.2 m long
(a) how many 15 cm of ribbon can be cut from a 3.2m long ribbon
(b) how long is the remaining peice
Answer:
A = 21
B = 5
Step-by-step explanation:
1 meter = 100 centimeters
This means that she has 320cm of ribbon. Now you need to divide 320 by 15
320/15 = 21.3333333333
So to check your work you could multiply 15 by 21
15 x 21 = 315
This answer is less than 320 so you now know that Nabiha can cut 21 pieces of ribbon that are 15cm long. You also know that the remaining piece is 320 - 315 = 5.
Please award me brainiest! Hope this helps!
PLEASE HELP WILL MARK BRAINLIEST
Answer:
Part 1: f(x)=0 has 0 solutions
Part 2: g(x)=0 has 2 solutions
Part 3: h(x)=0 has 1 solution
I graphed them
at his last baseball game, George missed 35% of the pitches thrown at him. based on this information, how many pitches will he miss if he has 40 pitches thrown at him?
Answer:
14
Step-by-step explanation:
35% of 40
= 35/100 × 40
= (35×4)/10
= 140/10
= 14
The length of the rectangle is 9 cm.
The perimeter of the rectangle is 31 cm.
(b) Work out the width of the rectangle.
Answer:
Perimeter = 2(L+W)
31 =2(9+w)
31 =18+2W
31-18=2W
13=2W
W=13/2
W=6.5cm
Help meeeeeeeeeeeeeeeee
Answer:
27
Step-by-step explanation:
The width of the frame is 9. If Marcia needs it to be THREE times as long as it is wide, that would mean she would have to multiply 3 x 9 which equals 27