Answer:
$4031.75
Step-by-step explanation:
A = P(1+r/n)^nt P = 3000 n semi-annually = 2 rate = 0.06 t = 5
= 3000(1+0.06/2)^((2)(5))
= 3000 ( 1+ 0.03)^10
= 3000(1.03)^10 use calculator now
= 3000(1.343916379)
= $4031.75
Helpppppp plsssssss
Will give brainly
Answer:
12 sq cm
Step-by-step explanation:
Area of rectangular pyramid = Area of base which is square + 4 times the area of one triangle.
[tex] = {2}^{2} + 4( \frac{1}{2} \times 2 \times 2) \\ \\ = 4 + 4(2) \\ \\ = 4 + 8 \\ \\ = 12 \: {cm}^{2} [/tex]
An IQ test is designed so that the mean is 100 and the standard deviation is 21 for the population of normal adults. Find the sample size necessary to estimate the mean IQ score of statistics students such that it can be said with 99% confidence that the sample mean is within 6 IQ points of the true mean. Assume that σ=21 and determine the required sample size using technology. Then determine if this is a reasonable sample size for a real world calculation.
Answer:
The required sample size is 82. This number of people could be sampled in an afternoon, for example, at a commercial center in a city, which means that it is a reasonable sample size for a real world calculation.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
Assume that σ=21 and determine the required sample size.
A sample size of n is needed.
n is found when M = 6. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]6 = 2.575\frac{21}{\sqrt{n}}[/tex]
[tex]6\sqrt{n} = 2.575*21[/tex]
Dividing both sides by 3
[tex]\sqrt{n}= 2.575*3.5[/tex]
[tex](\sqrt{n})^2 = (2.575*3.5)^2[/tex]
[tex]n = 81.2[/tex]
Rounding up:
The required sample size is 82. This number of people could be sampled in an afternoon, for example, at a commercial center in a city, which means that it is a reasonable sample size for a real world calculation.
What is the width of the juice box?
Answer:
3.99928901529
Step-by-step explanation:
multiply 12.5 by 4.5 and you get 56.25 and you divide 225 by 56.25 and you get 3.99928901529
PLEASE HELP ME ASAPPP!!!!!!
Answer:
2 1/4 inches
Step-by-step explanation:
1/4 per 1 foot so if there are 9 feet it would be 9/4 then converte that to a proper fraction which is 2 1/4
Please help me. I am having trouble
Answer:
area = 41 units²
Step-by-step explanation:
area = (8 x 4) + (3 x 3) = 41 units²
Answer:
53
Step-by-step explanation:
A=s×s 3×3=9A=L×W 4×11(3+8)=4444+9 537x+2x+4 what is the answer
Answer:
9x+4
Step-by-step explanation:
My cousin made 50 muffins and brought 3/5 of them to work how many did she leave at home?
Answer:
20
Step-by-step explanation:
To find how many she took to work you do (3/5) * 50 which is equal to 30
That means she took 30 to work leaving 20 muffins left at home.
Sun works in a bakery and wants to know how many ounces of flour are in 5 flour sacks. If each sack contains 52 lbs of flour, how much is the total weight of the flour in ounces 1lb = 16 oz
Bianca bought a pack of rechargeable batteries for
$9.99. If the sales tax on the batteries is 3% and Bianca
pays with $11 cash, how much change will she get back?
Answer:
$0.71
Step-by-step explanation:
Find the cost with sales tax
9.99(1.03)
= 10.29
Subtract this from 11
11 - 10.29
= 0.71
So, Bianca will get $0.71 back in change
Answer: 0.71 cents
Step-by-step explanation:
9.99x0.03=0.2997
9.99+0.2997=10.2897 rounds to 10.29
11-10.29=0.71
A bus travels for 22 minutes from Greensburg to Pleasant Valley. Then it travels 16 minutes from Pleasant Valley to Red Mill. How many minutes does it travel?
Answer:
22 + 16 = 38
Step-by-step explanation:
I hope you have a good day
In ΔOPQ, o = 100 inches, q = 550 inches and ∠Q=67°. Find all possible values of ∠O, to the nearest degree.
Answer:
10
Step-by-step explanation:
How many pounds is equal to 1.5 Ton(s)?
Answer:
3000 pounds :)
hope this helped<3
I need help please pleaseeeeee
Answer:
19.64 ft
Step-by-step explanation:
7/25 = 5.5/x
7x = 137.5
x = 19.64
Plz show work, NEED HELP FAST PLZ
Answer:
5. 4 6. 6
Step-by-step explanation:
Number 5
[tex]10-2\sqrt{9}[/tex]
[tex]2\sqrt{9}=6[/tex]
[tex]=10-6[/tex]
Subtract the numbers: 10 - 6 = 4
[tex]=4[/tex]
Number 6
[tex]70-\left(\sqrt[3]{64}\right)^3[/tex]
[tex]\left(\sqrt[3]{64}\right)^3=64[/tex]
[tex]=70-64[/tex]
Subtract the numbers: 70 - 64 = 6
[tex]=6[/tex]
A worldwide organization of academics claims that the mean IQ score of its members is 118, with a standard deviation of 17. A randomly selected group of 40 members of this organization is tested, and the results reveal that the mean IQ score in this sample is 115.8. If the organization's claim is correct, what is the probability of having a sample mean of 115.8 or less for a random sample of this size
Answer:
0.2061 = 20.61% probability of having a sample mean of 115.8 or less for a random sample of this size
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
A worldwide organization of academics claims that the mean IQ score of its members is 118, with a standard deviation of 17.
This means that [tex]\mu = 118, \sigma = 17[/tex]
A randomly selected group of 40 members
This means that [tex]n = 40, s = \frac{17}{\sqrt{40}} = 2.6879[/tex]
What is the probability of having a sample mean of 115.8 or less for a random sample of this size?
This is the pvalue of Z when X = 115.8.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{115.8 - 118}{2.6879}[/tex]
[tex]Z = -0.82[/tex]
[tex]Z = -0.82[/tex] has a pvalue of 0.2061
0.2061 = 20.61% probability of having a sample mean of 115.8 or less for a random sample of this size
find the volume of the rectangular prism. geometry hw plz help
Answer:
189 cm^3
Step-by-step explanation:
7 times 9 times 3=189
Help giving brainliest please help
Answer:
C. The mode of the number of miles Ian skated in July is less than the mode of the number of miles Ian skated in August.
Step-by-step explanation:
A. is not correct because the least amount he skated in July was 1 which is not greater than the least amount In August, 5
B. is not correct because the median number for July was 8 which is not greater than the median of August, 10
C. is correct because 8 is the most common number in July which is less than 10, the most common number in August.
D. is not correct because the range in July is 14 (15-1=14) which is not less than the range in August, 8 (13-5=8)
Given h(x)
-2x + 5, solve for x when h(x) = 3.
Answer:
x = 1
Step-by-step explanation:
h(x) = -2x + 5 and h(x) = 3
which means -2x + 5 = 3
solve for x
-2x + 5 = 3
-5 -5
-2x = -2
-2 -2
x = 1
2x + y =8 and 4x -2y = 6
Answer:
x=1.25 and y=-5.5
Step-by-step explanation:
2x+y=-8, 2x=-y-8 or 4x=-2y-16. Plug this value in the second equation, we have - 2y-16-2y=6, y=-5.5. Plugging this in any equation we have, x=1.25
If we have 9 candy bars and each student gets 1/3 candy barwith 10 students, how much of a sandwich does each student get? Explain using examples or drawings. PUT AN AWNSER THAT MAKES SENSE IF YOU DONT TYPE IN A AWNSER THAT MAKES SENSE DONT LOOK FOR ANY BRAINLYIEST OR POINTS!!!! AWNSER IT SERIOUSLY!!!!!!!
Answer:
.......................................... k
Step-by-step explanation:
What’s the slope?!??????
Answer:
y=mx+b
Step-by-step explanation:
Convert 468 inches to yards. Choose the words and numbers to complete the statements.
An inch is
smaller
than a yard, so
multiply
the number of inches by
3
to find the number of yards. Therefore, 468 inches is equal to
Choose...
yards.
Answer:
smaller, divide, 12, and 39 yards
Step-by-step explanation:
An inch is smaller than a yard, so multiply the number of inches by 3 to find the number of yards.
What is a unit conversion?Unit conversion is the process of converting a measurement from one unit of measurement to another equivalent unit of measurement. For example, converting a measurement from meters to centimeters, or from pounds to kilograms.
An inch is smaller than a yard, so multiply the number of inches by 3 to find the number of yards.
Unit conversion is important in many fields, including science, engineering, construction, and even everyday life. For example, in science and engineering, it is common to work with different units of measurement, and converting between them is essential for accurate calculations and analysis.
Therefore, 468 inches is equal to 13 yards.
To know more about unit conversion follow
https://brainly.com/question/97386
#SPJ3
I need help with Additional practice it is find the area of each trapezoids or kite
Answer:
♡●●♡♤●■
⊙♡}°♡■♡°€€£●€●●£7●£7{●£6{●€6¥■
Step-by-step explanation:
86{\86{●
Using the distributive property, an expression equivalent to 48 + 30 is
5 (6 + 8).
(6) (8) + (3) (10).
(3) (16) + (6) (5).
6 (8 + 5).
Answer:
d. 6(8+5)
Step-by-step explanation:
First you distribute the 6 to the 8 which gets you 48 and then you distribute the 6 to the 5 to get 30
so you would get 48+30
therefore, d is true
Answer: (6) (8) + (3) (10) and (3) (16) + (6) (5) and 6 (8 + 5) all of them is the same answer as 48+30=78
Step-by-step explanation: Hope this help:D
Evaluate the expression using order of operations. (24+2) ÷ 2
Answer:
The answer is 13
Step-by-step explanation:
24+2=26
26÷2=13
Angle G and D are COMPLEMENTARY. What is the value of angle D if.... ZG - (2x) and 2D-(2x+6) '.
Answer:
Step-by-step explanation:
Does someone have the answers
Answer:
number 3 the answer
Step-by-step explanation:
Solve for x
A) 2
B) -10
C) 7
D) -3
Answer:
-10
Step-by-step explanation:
corresponding angles.
hope the image attached helps
thank you
What is the probability of choosing a 6 of clubs that's also a red card from a deck of cards? Type your answer as a fraction.
Answer:
4/52
Step-by-step explanation:
Solve the following absolute value equation.
|x – 9 = 12
X = 21
- [?]
X =
Answer:
x=21 not sure if this is the answer