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 :)
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.
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!
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
cos=0.985 rounded to nearest tenth
It takes 570 gallons of paint to
paint the outside of the White House. If the number of
gallons used to paint each of its 4 sides is equal, how
many gallons of paint are used on each side
Answer:
142.5 gallons
Step-by-step explanation:
Divide 570 by 4 and then use that for one side
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
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
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
8 (7k + 7d +7) for k=5 d=4
Answer:
Answer. 5.0/5. 1.
Step-by-step explanation:
Answer
The answer would be 560
Step-by-step explanation:
8(7x5+7x4+7)
35+28+7
8x70
560
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.
find the lcm 15 and 20
Answer:
5
Step-by-step explanation:
if the original quantity is 10 and the new quantity is 3 what is the percent decrease
Answer:
70% Decrease
Step-by-step explanation:
Answer:
70%
Step-by-step explanation:
The percent decrease is 70%.
hey i need some help!
Answer:
B im pretty sure
Step-by-step explanation:
Answer:
Movie Rental B is better to buy. It's cheaper by .75 cents.
Step-by-step explanation:
Solving Movie Rental A
To find the unit rate of this one, we divide the dollars and the rentals.
So, 15 ÷ 3 = 5
Unit Rate for Movie Rental A is 5
Solving Movie Rental B
Same as Movie Rental A, divide the dollars and the Rentals.
8.5 ÷ 2 = 4.25
The number with the less amount is cheaper so
4.25 is less than 5
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!
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
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
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
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
Pls help me
I will give you brainliest
Pls
Answer:
3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
Among all pairs of numbers whose sum is 6, find a pair whose product is as large as possible.
What is the maximum product?
Answer:
The pair of numbers is (3,3) while the maximum product is 9
Step-by-step explanation:
The pairs of numbers whose sum is 6 starting from zero is ;
0,6
1,5
2,4
3,3
Kindly note 2,4 is same as 4,2 , so there is no need for repetition
So the maximum product is 3 * 3 = 9 and the pair is 3,3
Step-by-step explanation:
hope this helps :)
A $230 suit is marked down by 30%. Find the sale price.
Answer:
161
Step-by-step explanation:
69 is 30% of 230 so 230-69=161 is the answer.
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.
−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:
Which expression shows an equivalent way to represent the total bill?
Answer:
(7+5.5)m + 5.5(2)
Step-by-step explanation:
Given:
Equation;
7m + 5.5(2+m)
Find:
Equivalent way
Computation:
7m + 5.5(2+m)
7m + 11 + 5.5 m
12.5m + 11
Or
(7+5.5)m + 5.5(2)
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 ≈ 6.2There 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
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Find the measure of < FEG
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
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