Answer:
{13.7756,18.2244}
Step-by-step explanation:
Given the sample size, the margin of error can be calculated with the formula [tex]M=Z*\frac{\sigma}{\sqrt{n}}[/tex] where Z is the critical value for the desired confidence level, σ is the population standard deviation, and n is the sample size. Therefore, our margin of error for a 90% confidence level is:
[tex]M=Z*\frac{\sigma}{\sqrt{n}}=1.645*(\frac{8}{\sqrt{35}})=2.2244[/tex]
The formula for a confidence interval is [tex]CI=\bar{x}+M[/tex] where x-bar is the sample mean. Therefore, the 90% confidence interval for the mean amount of sushi pieces a person can eat is:
[tex]CI=\bar{x}\pm[M]=16\pm2.2244={13.7756,18.2244}[/tex]
Therefore, we are 90% confident that the true mean amount of sushi pieces a person can eat is contained within the interval {13.7756,18.2244}
Without using the formula, work out the gradient of the graph shown.
Give your answer in its simplest form.
A teacher wrote this experssion on the board (-6)(2)+(-8÷4) what is the vaule of this expression
Answer:
-14
Step-by-step explanation:
(-12)+(-2)
You solve using Pemdas, doing the (-8/4) first, and then doing (-6)(2)
The answer is the two values added together.
Distribute 6 ( 0.4x + 5)
Answer:
2.4x+30
Step-by-step explanation:
(6*0.4x)+(6*5)
2.4x+30
Help me pls becks or anyone I need to pass
Answer:
area of 105° segment = 74.2 in²
Step-by-step explanation:
area of entire circle = πr² = (3.14)(9²) = 254.34 in²
area of 105° segment = (105/360)(254.34) = 74.2 in²
Write 1.5 : 6 as a whole number ratio in it's simplest from.
Answer: 1.5 : 6 = 1 : 4
Step-by-step explanation: Change values to whole numbers.
Convert any decimal numbers to integers by multiplying both sides by 101 = 10 to eliminate all, 1, decimal places.
We then have:
1.5 : 6 = 15 : 60
Try to reduce the ratio further with the greatest common factor (GCF).
The GCF of 15 and 60 is 15
Divide both terms by the GCF, 15:
15 ÷ 15 = 1
60 ÷ 15 = 4
The ratio 15 : 60 can be reduced to lowest terms by dividing both terms by the GCF = 15 :
15 : 60 = 1 : 4
Therefore:
1.5 : 6 = 1 : 4
3.2468 rounded to the nearest tenth.
please help me
Answer:
3.2
Step-by-step explanation:
Find the number in the tenth place
2
and look one place to the right for the rounding digit
4
. Round up if this number is greater than or equal to
5
and round down if it is less than
5
.
what is the distance of between (-5,8) and (12,8)
plz help
Answer:
17
Step-by-step explanation:
-5 is 17 points away from 12.
Use English Alphabet, how many 6-character case-sensitive passwords are possible?
Answer:
Step-by-step explanation:
like for your actual name spell is backwords and add the last 4 letters of the alphabet which W X Y Z
I hope that helped :)
Question 16, plz explain
Answer:
Step-by-step explanation:
Whats the probability of flipping 2 heads and a tail
[tex]Probability = \frac{Occurance}{total \ number \ of \ flips } =\frac{15}{50} = 0.3[/tex]
option C
Ms. Parker determined that the mean test score in her first-period class
was 81 with a standard deviation of 7.06. The mean test score in her
second-period class was 88 with a standard deviation of 8.24. Which
conclusion can be made about her students' test scores?
A Period 2 had scores that were less spread out around the mean than
Period 1.
B. Period 1 had scores that were less spread out around the mean than
Period 2.
C. Period 2 had scores that were less spread out around the median than
Period 1.
D
Period 1 had scores that were less spread out around the median than
Period 2.
Answer:
B. Period 1 had scores that were less spread out around the mean than
Period 2
Step-by-step explanation:
Because the standard deviation of Period 2's scores is greater than that of Period 1's, the test scores for Period 2 are going to be more spread out than Period 1's test scores. B is the most logical choice in this case.
Matt drove 395 miles on 20 gallons of gas. If he has
enough money for 84 gallons of gas, how many miles
can he drive?
Answer:
I believe the answer is 1659
Step-by-step explanation:
395 ÷ 20 = 19.75
19.75 × 84 = 1659
The area of a square floor on a scale drawing is 25 square centimeters, and the scale drawing is 1 centimeter:5 ft. What is the area of the actual floor? What is the ratio of the area in the drawing to the actual area?
Answer:
[tex]625ft^{2}[/tex]
Step-by-step explanation:
First get the l by finding the square root of the area
[tex]\sqrt{25}[/tex] = 5cm
since 1cm = 5ft
what about 5cm =?
(5cm×5ft)/1cm
l=25ft
area of the actual floor is l × l
[tex]25^{2}[/tex]
which is [tex]625ft^{2}[/tex]
what is 23^a x 23^b= Pls I need the answer
Answer:
23^(a+b)
Step-by-step explanation:
23^a x 23^b =23^(a+b)
The moon is a sphere with radius of 959 km. Determine an equation for the ellipse if the distance of the satellite from the surface of the moon varies from 357 km to 710 km. x squared divided by 357 plus y squared divided by 710 equals 1 x squared divided by 1669 squared plus y squared divided by 1316 squared equals 1 x squared divided by 1316 squared plus y squared divided by 1669 squared equals 1 x squared divided by 710 plus y squared divided by 357 equals 1
Answer:
[tex]\frac{x^2}{1316^2}+\frac{y^2}{1669^2}=1[/tex]
Step-by-step explanation:
An ellipse is the locus of a point such that its distances from two fixed points, called foci, have a sum that is equal to a positive constant.
The equation of an ellipse with a center at the origin and the x axis as the minor axis is given by:
[tex]\frac{x^2}{b^2}+\frac{y^2}{a^2} =1 \\\\where\ a>b[/tex]
Since the distance of the satellite from the surface of the moon varies from 357 km to 710 km, hence:
b = 357 km + 959 km = 1316 km
a = 710 km + 959 km = 1669 km
Therefore the equation of the ellipse is:
[tex]\frac{x^2}{1316^2}+\frac{y^2}{1669^2}=1[/tex]
Answer the question please
Find the volume of a cylinder with a radius of 6cm and height of 8cm
Answer: 904.779
Step-by-step explanation:
v = pi x radius^2 x height
Answer:
904.78 cm^3
Step-by-step explanation:
The formula for volume of a cylinder is V = π r^2 h, and when you plug in your measurements you get the equation V = π × 6^2 × 8, which equals 904.78 cm^3
Kate is 5 feet 2 inches tall.
Alice is 1.57 metres tall.
Alice says that she is taller than Kate.
Use the conversions below to decide if Alice is correct.
12 inches = 1 foot
1 inch = 2.5 centimetres
if someone could help me with this it would be really helpful
Answer:
Alice is wrong kate is taller than Alice
Step-by-step explanation:
because Alice is 5'1 and Kate is 5'2
ILL GIVE BRAINLEST, please answer, no links, and explain please ♥️
Answer:
$45
Step-by-step explanation:
If every square is 1/5 a square foot, and ever square foot is $15, then every 5 squares is $15. which would be 45 for the kitchen, 60 for the dining room, and 90.30.
The equation y = 5x - 4 can be classified as what type of function?
O linear
O quadratic
O exponential
None of the others
If a number cube numbered 1-6 is tossed 300 times about how many times would you expect to land on the number 3?
50
200
150
100
The area of the figure is *blank* square units.
Reflect triangle A in the line Y = 1
Answer:
(1,2); (4,4); (1,4)
Step-by-step explanation:
Just reflect it directly across the y axis starting at x=1.
Find the sum of the arithmetic series given a1=8,a14=99,n=14.
Answer:
The sum of the series is: 749
Step-by-step explanation:
Given
[tex]a_1 = 8[/tex]
[tex]a_{14} = 99[/tex]
[tex]n = 14[/tex]
Required
The sum of the series
This is calculated using:
[tex]S_n = \frac{n}{2}[a_1 + a_n][/tex]
Substitute 14 for n
[tex]S_{14} = \frac{14}{2}[a_1 + a_{14}][/tex]
[tex]S_{14} = 7[a_1 + a_{14}][/tex]
Substitute values for a1 and a14
[tex]S_{14} = 7[8 + 99][/tex]
[tex]S_{14} = 7*107[/tex]
[tex]S_{14} = 749[/tex]
What is the answer to this problem?
Answer:
5 2/3
Step-by-step explanation:
just trust me
Answer:
option b 5.6 is the correct answer
What is 15/7 an mixed number
[tex]2 \frac{1}{7} [/tex]
is the answer
Answer:
answer: 2 1/7
Hope this helps
three times four and four fifths
Answer:
the answer is 12.8
Step-by-step explanation:
Answer:
14 [tex]\frac{2}{5}[/tex]
Step-by-step explanation:
3*4 [tex]\frac{4}{5}[/tex]
4 [tex]\frac{4}{5}[/tex] = [tex]\frac{24}{5}[/tex]
[tex]\frac{3}{1} * \frac{24}{5}[/tex]= [tex]\frac{72}{5}[/tex]
[tex]\frac{72}{5}[/tex] to a mixed number
[tex]\frac{72}{5}[/tex]= 14.4 =14
72-(5*14)=2
14 [tex]\frac{2}{5}[/tex]
ZA and B are supplementary angles.
If ZA measures 45°, then what is the measure of ZB?
1. 35
2. 45°
3. 135
4. 145
Answer: 3. 135°
Step-by-step explanation: supplementary angles are angles that add up to 180° thus 180-45=135
Hope this helped!
how many radians is 288
can u please help me
Answer:
(a) x=45°
(b) If AD was parallel to BC, <A would be equal to (180-<B)=90 (corresponding angles). Since <A≠90, we can see that AD and BC aren't parallel.
Step-by-step explanation:
(a)
Angles in a quadrilateral add to 360:
<A+<B+<C+<D=360
2x+90+x+3x=360
6x=270
x=45°
(b)
If AD was parallel to BC, <A would be equal to (180-<B)=90 (corresponding angles). Since <A≠90, we can see that AD and BC aren't parallel.
Answer: Step-by-step explanation:
3x+2x+x=360-90
6x=270
x=45
∠DAB=2x=90° and ∠ABC=90° ⇒ AD║BC