Answer:
9040
10215.20
Step-by-step explanation:
compound interest that compounds yearly works as follows
PV(1+i)^n
just plug in the numbers
8000(1.13)^1= 9040
8000(1.13)^2=10215.20
There are two machines available for cutting corks intended for use in wine bottles. The first produces corks with diameters that are normally distributed with mean 3 cm and standard deviation 0.10 cm. The second machine produces corks with diameters that have a normal distribution with mean 3.04 cm and standard deviation 0.04 cm. Acceptable corks have diameters between 2.9 cm and 3.1 cm
What is the probability that the first machine produces an acceptable cork? (Round your answer to four decimal places.)
What is the probability that the second machine produces an acceptable cork? (Round your answer to four decimal places.)
Which machine is more likely to produce an acceptable cork? the first machine the second machine
Answer:
0.6826 = 68.26% probability that the first machine produces an acceptable cork.
0.933 = 93.3% probability that the second machine produces an acceptable cork.
The second machine is more likely to produce an acceptable cork.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
What is the probability that the first machine produces an acceptable cork?
The first produces corks with diameters that are normally distributed with mean 3 cm and standard deviation 0.10 cm, which means that [tex]\mu = 3, \sigma = 0.1[/tex]
Acceptable between 2.9 and 3.1, which means that this probability is the pvalue of Z when X = 3.1 subtracted by the pvalue of Z when X = 2.9.
X = 3.1
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{3.1 - 3}{0.1}[/tex]
[tex]Z = 1[/tex]
[tex]Z = 1[/tex] has a pvalue of 0.8413
X = 2.9
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{2.9 - 3}{0.1}[/tex]
[tex]Z = -1[/tex]
[tex]Z = -1[/tex] has a pvalue of 0.1587
0.8413 - 0.1587 = 0.6826
0.6826 = 68.26% probability that the first machine produces an acceptable cork.
What is the probability that the second machine produces an acceptable cork? (Round your answer to four decimal places.)
For the second machine, we have that [tex]\mu = 3.04, \sigma = 0.04[/tex]. Same probability we have to find out. So
X = 3.1
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{3.1 - 3.04}{0.04}[/tex]
[tex]Z = 1.5[/tex]
[tex]Z = 1.5[/tex] has a pvalue of 0.9332
X = 2.9
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{2.9 - 3.04}{0.04}[/tex]
[tex]Z = -3.5[/tex]
[tex]Z = -3.5[/tex] has a pvalue of 0.0002
0.9332 - 0.0002 = 0.933
0.933 = 93.3% probability that the second machine produces an acceptable cork.
Which machine is more likely to produce an acceptable cork?
Second one has a higer probability, so it is more likely to produce an acceptable cork.
Please answer! will mark brainilest eight tenths plus nine tenths equals
Answer:
it equals 17 tenths
Step-by-step explanation:
Answer:
the answer will be 0.7 for sure
Step-by-step explanation:
for the steps
the question is given as eight tenths i.e 0.8 and another is given nine tenth i.e 0.9
so when you calculate (add) both
0.8+0.9
gives
0.7
Which of the following is a rational number?
square root of 79, square root of 80, square root of 81, square root of 82
Answer:
Square Root of 81
Step-by-step explanation:
9 times 9 = 81
There are 1,600 students at a university. 24% of students are sophomores, 20% are juniors, and 28% are seniors. How many students at the university are freshmen?
Answer:
448 freshman.
Step-by-step explanation:
How many students at the university are freshmen?
= (1 - (.24 + .2 + .28)) * 1600 = .28 * 1600 = 448 freshman.
A percentage is a way to describe a part of a whole. The number of students that are freshmen in the university is 448.
What are Percentages?A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
Given that 24% of students are sophomores, 20% are juniors, and 28% are seniors. Therefore, the percentage of the freshman in the university will be,
Percentage of freshman = 100% - 24% - 20% - 28%
= 100% - 72%
= 28%
Now, since there are a total of 1,600 students at the university. Therefore, the number of students that are freshmen in the university is,
Number of students = 28% of 1600
= (28/100) × 1600
= 448
Hence, the number of students that are freshmen in the university is 448.
Learn more about Percentages:
https://brainly.com/question/6972121
#SPJ5
Round both to the nearest whole number just write:
5: answer here
6: answer here
Answer:
Follows are the solution to this question:
Step-by-step explanation:
formula for perimeter of semicircle:
[tex]C= \pi \times d[/tex]
Area of Semicircle:
[tex]A= \frac{\pi r^2}{2}[/tex]
For question 5:
[tex]\to d=17 \ m[/tex]
[tex]\to C= \pi \times d= 3.14 \times 17= 53.38 =53 \\\\[/tex]
[tex]\to A= \frac{\pi \times r^2}{2}= \frac{3.14 \times 8.5^2}{2}=\frac{226.865}{2}=113.4325= 113[/tex]
For question 6:
[tex]\to d=10.5 \ in[/tex]
[tex]\to C= \pi \times d= 3.14 \times 10.5= 32.97 =33[/tex]
[tex]\to A= \frac{\pi \times r^2}{2}= \frac{3.14 \times 5.25^2}{2}=\frac{86.54625}{2}=43.273125= 43[/tex]
1) if y is proportional to x , find an equation that connects them given that y = 24 when x = 4
Answer:
175 I think
Step-by-step explanation:
I don't know really sorry
7(3y – 1) = 119
Please help!!!!
Answer:
y=6
Step-by-step explanation:
7(3y-1)=119 multiple 3y and -1 by 7
21y-7=119 add 7 to 119
21y=126 divide 126 by 21
y=6
3x+144=532* replace the star (*) so the answer to the problem would be a whole number. find all possible digits.
Answer:
x = 129, rounded
Step-by-step explanation:
3x + 144 = 532
-144 -144
3x = 388
divide both sides by 3
x = 129, rounded
I NEED HELP ASPPPP! GIVE POINT IF YOU HELP!
Answer: All you have to do is since one batch needs 1 1/3 cup of walnuts multiply 1 1/3 to 3 3/4 = 3 1/4 cups
Step-by-step explanation:
Jasmine wants to earn $2,000 in simple interest through a
bank account earning 5% annually. How much principal
would she need to invest in the account to meet her interest
goal in 4 years?
Answer:
$10000
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 5%/100 = 0.05 per year,
then, solving our equation
P = 2000 / ( 0.05 × 4 ) = 10000
P = $ 10,000.00
The principal required to
accumulate interest of $ 2,000.00
on a rate of 5% per year for 4 years is $ 10,000.00.
AABC is reflected across the y-axis and translated 3 units up to create AXYZ. Select all statements that are true about AABC and AXY
PLS help for 55 points
Answer:
≈ 6.2
Step-by-step explanation:
Common side of the triangles is:
√10²-5² = √75Find x:
x = √75 - 6² = √75 - 36 = √39 ≈ 6.2−3x^2−4x+7 answer this problem please - algebra - factoring
Answer:
-(x-1) (3x+7)
Step-by-step explanation:
Answer:
-((x - 1)(3x + 7))
Step-by-step explanation:
Pls help me
I will give you brainliest
Pls
Answer:
3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
What number comes next? 6, 9, 12, 15
Answer:
18
Step-by-step explanation:
Answer: 18, 21, 24, 27, 30
Step-by-step explanation:
If b= 18^3 in the right triangle below, what is the value of c?
A 2-yard roll of plastic wrap costs $3.36. What is the price per foot?
Answer:
$0.56 per foot
Step-by-step explanation:
2 yards= 6 feet
3.36/6= 0.56
Answer:
$0.56 per foot
Step-by-step explanation:
1 yd = 3 ft
2 yd = 6 ft
3.36/6 = 0.56
5x+20=10 solve for x
Answer:
x= -2
Step-by-step explanation:
:D
Answer: x = -5
Step-by-step explanation:
Q5
Askateboard is originally priced at $130. The online retailer gives a discount and the Skateboard is now priced at $78. Enter the
percentage discount for the cost of the skateboard
Answer:
Your answer is 40%
Hope that this is helpful. Tap the crown button, Like & Follow me
Answer:ok
Step-by-step explanation: 2+2 =4 - 1 = 3 quick maths!
if the first step of the solution of the equation 2x - 8 =5x + 3 is subtract 2x," then what should the next step be?
Answer:
2x-8=5x+3
Step-by-step explanation:
The first step: Subtract 2x, -8=3x+3
Second: Subtract (-3), -11=3x
cos=0.985 rounded to nearest tenth
Evaluate 4x+2 when x=6 .please answer I'm being timed
Answer:
26
Step-by-step explanation:
first, substitute the value for x into the expression. since x = 6, you will be plugging in 6 for x.
4x + 2 ⇒ 4(6) + 2
simplify the expression, starting with 4 · 6.
4(6) + 2 ⇒ 24 + 2
then add 24 + 2.
24 + 2 ⇒ 26
aaaand your answer is 26! hope this helps. have a lovely day! <3
Students at Hampton Middle School sold T-shirts as a school fundraiser. Sylvie asked 12 random seventh-grade students how many T-shirts they sold for the fundraiser. The number of T-shirts each student sold is listed below.
3, 4, 8, 5, 2, 5, 0, 5, 3, 4, 3, 7
What is the mean of the data set rounded to the nearest tenth?
4.0 shirts
4.1 shirts
4.5 shirts
4.9 shirts
Answer:
4.1 shirts
Step-by-step explanation:
Mean can be found by adding all data points and dividing that by the total amount of data points.
There are 12 students selling shirt, which gives you 12 data points.
So (3+4+8+5+2+5+0+5+3+4+3+7)/12 = 4.083...
Which rounds to 4.1 shirts
Answer:
The correct answer is C: 4.1 shirts
Step-by-step explanation:
Did it on edge and got it correct
Hope This Helps!
Have a good day!
45 is what % of 50. i need to know now
Answer:
90%
Step-by-step explanation:
Answer:
90%.
Step-by-step explanation:
50 is half of 100. 45 is half of 90.
So, 45 is 90% of 50.
Nhich describes the slope of a horizontal line?
a. positive
b. negative
d. undefined
C. Zero
Step-by-step explanation:
c.
The slope of a line is change in Y / change in X. The slope of a horizontal line = 0, not undefined. The slope of a vertical line = undefined.Solve for the value of m.
Answer:
6°
Step-by-step explanation:
8m + 4° + 38° = 90°{ being complementary angles}
8m + 42° = 90°
8m = 90° - 42°
8m = 48°
m = 48° /8
m = 6°
Hope it will help :)
Can you help me on question six?!
Answer: A (1:2)
Step-by-step explanation:
Since there are 12 puppies total and 8 of the puppies are yellow labs, there must be 12 - 8 = 4 black labs. Now, the ratio of black labs to yellow labs is 4:8 because there are 4 black labs and 8 yellow labs. However, we can simplify this ratio by dividing the entire ratio by 4. In this case, we would get (4/4):(8/4), which simplifies to 1:2, which is the answer.
how do I round off 6.2 into a number
Ok so if you are rounding it to the nearest tenths place the answer would be 6
hope that's right!!
Answer:
well if you want to get to a whole number it would be 6
Step-by-step explanation:
you get that by well let's say it was 5.5 the second number is over half so it would round up to a whole of 6 but if it was 5.4 it would round down to 5.
I can explain better if needed
Sam was arranging stamps in his stamp album that had 12 pages with two sides. If 32 stamps could be placed on one side of each page , how many stamps in all can be arranged in his album?
Answer:
Step-by-step explanation:
Total pages = 12
Stamps placed on one side = 32x 12 = 384 stamps
Stamps placed on the second page = 32 x 12 = 384
Total stamps = 384+384 = 768
Which ordered pair is a solution of the equation y = -6x +7? (1,1) (-1,1) (-6,7) (3,-11)
Answer:
Step-by-step explanation:
(1,1) works
(3,-11) works too