Answer:
The population mean = sample mean = x`= 67.5
Population standard deviation = 13.369
Sample standard deviation= 4.225
Step-by-step explanation:
AS the population mean is not given we will calculate it from the sample.
The mean of the sampling distribution is equal to the population mean .
The sample mean is calculated by
x`= ∑x/n= 75,+ 62, +69,+65,+66,+64, +67,+70,+74 + 63/10
x`=675/10= 67.5
The standard deviation of the sample is equal to
u = σ/ √n where σ is the population standard deviation and n is the number of observations.
Calculating the sample mean
s= √∑xi²/n- (∑x/n)²
s= √(45741/10)- (675/10)²
s= 4.2249
σ= u*√n= 4.229 *√10
σ=13.360
Kelli Rae invested $220,000 in a savings account with simple interest. After 10 years, Kelli Rae had $250,000. What is the interest rate on this account?
Answer:
Interest rate = 1.363% (Approx.)
Step-by-step explanation:
Given:
Amount invested P = $220,000
Amount after 10 year = $250,000
Number of year = 10 year
Find:
Interest rate
Computation:
A = P + I
Amount of interest = $250,000 - $220,000
⇒ Amount of interest = $30,000
Amount of interest = PRT
⇒ 30,000 = (220,000)(R)(10)
⇒ 30,000 = (2,200,000)(R)
⇒ R = 0.013636
Interest rate = 1.363% (Approx.)
Josh spent $30 at the movies. 1/5 was spent on a drink, 45% on a ticket and the rest on food. How much did he spend on food?
Answer:
$10.5
Step-by-step explanation:
Given data
Total amount=$30
Drink = 1/5*30= $6
Ticket= 45% of 30
=45/100*30
=0.45*30
=$13.5
The remainder is for food
=30-6-13.5
=$10.5
15.4 = -2.1 + a
0.2
help pleasee
Answer:
a = 3.5
Step-by-step explanation:
[tex]15.4=-2.1+\frac{a}{0.2} \\\\\frac{a}{0.2} =15.4+2.1\\\\\frac{a}{0.2} =17.5\\\\a=3.5[/tex]
Steve ran a distance of 150 meters in 1 1/2 minutes. What is his speed in meters per
hour?
Answer:
600/mph
Step-by-step explanation:
Adina has a total of $1.65 in nickels and dimes. The number of dimes is 6 more than the number of nickels. How many coins are there of each type?
Choose the correct system of equations needed to solve this problem.
A
0.10d+0.05n=60.10d+0.05n=60.10d+0.05n=6
n+d=1.65n+d=1.65n+d=1.65
B
d=n+6d=n+6d=n+6
0.05n+0.10d=1.650.05n+0.10d=1.650.05n+0.10d=1.65
C
n=d+6n=d+6n=d+6
0.10d+0.05n=1.650.10d+0.05n=1.650.10d+0.05n=1.65
D
n=d+6n=d+6n=d+6
0.05n+0.10d=1.650.05n+0.10d=1.650.05n+0.10d=1.65
Answer:
C
Step-by-step explanation:
If you divide 1.65 by 6 you'll get 0.275 so then you'll add d+6n to get d+6 and then you'll solve the question for 6n and you'll get 1.65
What is the measure of the angle at the tail end of the kite?
Answer:
58 degrees
Step-by-step explanation:
Emma noticed that the new admission fee for a zoo is 65% more than last year’s fee. If f represents last year’s fee, which of the following expressions represent the new admission fee? Select all that apply.
Answer: 1.65f
Step-by-step explanation:
Last year's admission fee = f
Percentage Increase in the admission fee = 65%
New admission fee will be the addition of last year's admission fee and the increase in the admission fee. This will be:
= f + (65% × f)
= f + (65/100 × f)
= f + (0.65 × f)
= f + 0.65f
= 1.65f
The new admission fee is 1.65f
Pls help !! Basically you have to put two math equations with one sentence! Will give brainliest
Answer:
2.
2x+3y=45
x+y=16
3.
x+y=383
4x+6y=2034
4.
y=2x+11
x+y=53
5.
2x+5y=16
5x+2y=19
Step-by-step explanation:
Answer:
Um excuse me u answered my question without answering my question so here we r
Step-by-step explanation:
Which structures secrete chemicals utilized for the completion of digestion within the small intestine?
Answer:
In the small intestine more digestive enzymes act on the food. Pancreatic juice, from the pancreas, and bile, produced in the liver and stored in the gall bladder, continue to break down various parts of the food. They complete the digestion of starches, sugars, and fats. I hope tis helps
Step-by-step explanation:
please help thank youu!!
which number is closest to -31
A: -28 B: -27 C: -34 D: -33
Answer:
D) -33
Step-by-step explanation:
Answer:
D: -33 as it is like if it was positives just oppositite.
Write as a sum, difference or
multiple of logarithms.
In(8x) = [ ? ]8+ [ ]x
Answer:
In(8x)=[In]8 + [In]x
Step-by-step explanation:
By product rule:
[tex]In(8x)=[In]8 + [In]x[/tex]
PLEASEEEEE HELP I WILL MARK BRAINLIEST
Answer:
59
Step-by-step explanation:
Classify the following triangle. Check all that apply.
A. Obtuse
B. Acute
C. Isosceles
D. Right
E. Equilateral
F. Scalene
Answer:
C. Isosceles
E. Equilateral
F. Scalene
D. Right angled
Susan started the week with an odometer reading of 49,980 miles and a full tank. She ended the
week with an odometer reading of 50.230 miles. She re-filled her gas tank and put in 12 gallons of
gasoline.
How many miles per gallon did she get?
Answer
the answer is 21, hope this helps
John travels 16m ^2 +100 miles. /since he can only travel 8m +10 mph, it takes him 2m hours to make the trip. Solve for m
Answer:
m = 5
Step-by-step explanation:
distance traveled D= 16m^2+100 miles
speed, S= 8m+10 mph
time taken, T = 2m hours
We know that D = S×T
⇒ 16m^2+100 = (8m+10)× 2m
⇒ 16m^2+100 = 16m^2+ 20m
⇒ 20m = 100
⇒ m = 5
Therefore, the value of m is 5
Share 480 into the ratio 9:7
Answer:
270 : 210
Step-by-step explanation:
total ratio
9 + 7 = 16
ratio 1
480 ÷ 16 =30
ratio 9
30 × 9 = 270
ratio 7
30 × 7 =210
A kite has A = 120 cm2 and d1 = 16 cm. Identify the length of d2.
Answer:
d₂ = 15 cm
Step-by-step explanation:
The area (A) of a kite is calculated as
A = [tex]\frac{1}{2}[/tex] d₁d₂
Here A = 120, d₁ = 16 , then
[tex]\frac{1}{2}[/tex] × 16 × d₂ = 120
8d₂ = 120 ( divide both sides by 8 )
d₂ = 15 cm
NO LINKS I WILL REPORT!!! But help plsss Complete the following sentence. Triangles are congruent if they have the
same
A. size
B. shape and name
C. size and name
D. size and shape
E. shape
F. name
We know that, Congruent Triangles always have same size, angles and shape, just then only they are congruent to each other, by various criterions such as
1.) SAS 2.) AAS 3.) RHS 4.) SSS 5.) ASA
so the correct option is D.)
D.) size and shape
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
Answer:
Cone: You need the radius and height of the cone.
Cylinder: You need the radius and height the cylinder.
Sphere: You only need the radius of the sphere.
Step-by-step explanation:
For a lot of object shapes height and radius play a large role, the sphere is an outlier because of it's for a lack of a better word, spherical shape.
Ellen had 380 legos, but she lost 57 of them, how many legos does she have now?
Answer:
323 legos
Step-by-step explanation:
Lindsey bought a picnic basket originally priced at $40 but on sale for 50% off. After 10% sales tax, what was the total cost?
Answer:
$30
Step-by-step explanation:
Given data
Origianal price= $40
discount= 50%
Tax= 10%
Let us find the amount of the discount and tax
Discount
=50/100*40
=0.5*40
=$20
Tax
=10/100*40
=0.1*40
=$4
Hence the total cost is
=40-20+10
=$30
Answer:
22 ans
Step-by-step explanation:
Find the missing side of the angle.
Need help, thank you!!
Answer:
13
Step-by-step explanation:
a^2 + b^2 = c^2
144 + 25 = [tex]\sqrt{169}[/tex] = 13
Answer:
13
Step-by-step explanation:
pythagorean theorem a^2+b^2=C^2
5^2+12^=x^2
25+144=169
[tex] \sqrt{169} = 13[/tex]
each video game cost $21.87. Lerone is planning to buy 12 different games. What will be the total amount to buy all 12 games?
Answer:
262.44
Step-by-step explanation:
21.87 x 12 is 262.44
9/x=32/56
Solve for z
Answer:
x = 15.75
Step-by-step explanation:
I'm going to assume you mean solve for x so:
[tex]\frac{9}{x} =\frac{32}{56} \\\\32x=504\\x=15.75[/tex]
Mya claims (m 23 +m24) = m_1, as shown in the triangle below.
3
1/2
4
Which equations explain why Mya's claim must be true?
Answer:it’s b
Step-by-step explanation:
I need to learn for the 6th grade georgia milestone
Answer:
math
In your math class right now what type of stuff are you learning? Geometry, algebra, or what?
I'm not in class right now I needed to study for my final exam
Yea but i need to know the type of stuff you’ve been focusing on. It’s been years since I’ve taken a 6th grade class
well mostly division
But even though everyone hates it IXL is a good place to study once you find ones that have the things you’re not that great at. And Kahn academy has helped me a lot
ok I will try it thank you
Also for the majority of the Georgia milestone that involve division you are allowed to have a calculator just so you don’t get that stressed over it
ok thank you
Step-by-step explanation:
Simplify :
(a+b)²
Thanks
Answer:
(a+b)(a+b)
=a^2 + ab + ab + b^2
=a^2 + 2ab + b^2
Answer:
(a+b)² = ( a +b ) (a + b )
= a² + b² + 2ab
Given that x^6 = 64, which of the following could be the value of 9x^2 + 3x ?
Answer:
42,-42
Step-by-step explanation:
We first solve for x from x^6 = 64, by taking the root of both sides, and we get x = 2,-2
We then plug in both of the x values and get 42,-42
PS: That should be the right answer but you didn't include the possible answers, and I somehow also got 30 when plugging in -2, but just try it yourself to be safe.
Expand logarithm equation
Answer:
6log_4(x) - 4log_4(y)
