Answer:
3 log (3) + 1/2Step-by-step explanation:
log8(216) + [log(42) - log(6)] ÷ log(49) =log (216)/ log (8) + [log (7) + log (6) - log (6)] ÷ 2 log (7) =3 log (3) log (2) / 3 log (2) + log (7) / 2 log (7) = 3 log (3) + 1/2URGENT PLZ HELP
Find the measure of the arc or central angle indicated. Assume that lines which appear to be
diameters are actual diameters.
Answer:
Step-by-step explanation:
ok I forgot to tell you the arc PTR would be 126 +54 +14(4) +4 which equals 240 degrees. Answer.
Mrs. Stephens bought 3 pounds of tomatoes.How many ounces are equal to 3 pounds?
Answer:
48 ounces
Step-by-step explanation:
16 ounces per pound
3 x 16 = 48 ounces
A triangular fence is built with sides each of length 15 m, 14 m, and 24 m, respectively. To the
nearest degree, what is the measure of the smallest angle made by the fence?
9514 1404 393
Answer:
33°
Step-by-step explanation:
The law of cosines tells you ...
a² = b² +c² -2bc·cos(A)
Solving for A, we get ...
A = arccos((b² +c² -a²)/(2bc))
A = arccos((15² +24² -14²)/(2·15·24)) = arccos(605/720)
A ≈ 32.8305°
The smallest angle is about 33°.
A soda bottling plant uses automated filling machines to fill 2-liter bottles with soda. The plant can produce 8000 bottles of soda in an 8-hour shift. The plant’s quality manager wants to determine how well the process is operating. He takes a sample of 100 bottles from the bottling line and determines that on an average, each bottle contains 2.07 liters of soda, with a standard deviation of 0.06 liters. The specification limits for a bottle of soda are 2.1 liters and 1.9 liters
Answer:
0.6892 = 68.92% of bottles are within specification.
Step-by-step explanation:
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 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.
On average, each bottle contains 2.07 liters of soda, with a standard deviation of 0.06 liters.
This means that [tex]\mu = 2.07, \sigma = 0.06[/tex]
The plant’s quality manager wants to determine how well the process is operating.
To do this, we find the proportion of bottles within specification.
The specification limits for a bottle of soda are 2.1 liters and 1.9 liters
This is the pvalue of Z when X = 2.1 subtracted by the pvalue of Z when X = 1.9. So
X = 2.1
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{2.1 - 2.07}{0.06}[/tex]
[tex]Z = 0.5[/tex]
[tex]Z = 0.5[/tex] has a pvalue of 0.6915.
X = 1.9
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{1.9 - 2.07}{0.06}[/tex]
[tex]Z = -2.83[/tex]
[tex]Z = -2.83[/tex] has a pvalue of 0.0023
0.6915 - 0.0023 = 0.6892
0.6892 = 68.92% of bottles are within specification.
really need help! anything would be appreciated
In a town, 65% of people had high speed internet in their homes. If the population of the town is 80,000, how many
people do not have access to high speed internet in their homes?
Show work
What about the rational equation causes asymptotes?
Answer:Some functions have asymptotes because the denominator equals zero for a particular value of x or because the denominator increases faster than the numerator as x increases.
Step-by-step explanation:
It takes 8 blocks with side lengths of 4 meter to fill a rectangular prism.
The rectangular prism has a volume of
cubic meter.
1/8
Reset
1/4
1/2
1
Me das mas información?
Answer:
1
Step-by-step explanation:
please help me for brqinliest im imed
Answer:
77°
Step-by-step explanation:
As we can see ABCD is a cyclic quadrilateral so opposite angles of a cyclic quadrilateral is supplementary.
< A + <B = 180° { being opposite angles of cyclic quadrilateral }
2x + 9° + 3x + 1° = 180°
5x + 10° = 180°
5x = 180° - 10°
5x = 170°
x = 170° / 5
x = 34°
Now
< A = 2x + 9°
= 2 * 34° + 9°
= 77°
Hope it will help :)❤
Jumbo eggs in Australia, on average, are supposed to weigh 68g. Margot is in charge of a quality control test that involves weighing a sample of eggs to see if if the sample mean weight is significantly different than 68g. She takes a random sample of 100 eggs and finds a mean weight of 67g and a sample standard deviation of 1g.
Required:
What is the probability that the mean weight of 4 eggs in a package is less than 68.5g?
Answer:
0.9987 = 99.87% probability that the mean weight of 4 eggs in a package is less than 68.5g
Step-by-step explanation:
To solve this question, we use 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 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.
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.
Mean weight of 67g and a sample standard deviation of 1g.
This means that [tex]\mu = 67, \sigma = 1[/tex]
Sample of 4
This means that [tex]n = 4, s = \frac{1}{\sqrt{4}} = 0.5[/tex]
What is the probability that the mean weight of 4 eggs in a package is less than 68.5g?
This is the pvalue of Z when X = 68.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{68.5 - 67}{0.5}[/tex]
[tex]Z = 3[/tex]
[tex]Z = 3[/tex] has a pvalue of 0.9987
0.9987 = 99.87% probability that the mean weight of 4 eggs in a package is less than 68.5g
Answer:
-10
Step-by-step explanation:
Khan
Please help me with this
Answer:
Y = 13
Step-by-step explanation:
You can use the sine rule to solve this. The sine rule states that:
Sin(a) / A = Sin(b) / B = Sin(c) = C
In other words the sine of the angle in any corner in a triangle, divided by the length of the opposite side, will be equal to that of the other two sides as well.
In this case, we can take the ratio between the sine of the right angle, and each of our hypotenuses, and state them as equal, giving us the solution:
sin(90) / (5y + 13) = sin(90) / 6y
1 / (5y + 13) = 1 / 6y
5y + 13 = 6y
6y - 5y = 13
y = 13
HELP WILL GIBE BRAINLIEST.
HOW MUCH IS IT FOR 1
Answer:
small is 0.018
medium is 0.016
large is 0.010
How do I start this problem? I don't need help with the graphing part.
Answer:
x = 6 , y = 0 (x , y) = (6 , 0)
x = 12, y = 3 (x , y) = (12 , 3)
x = 24, y = 9 (x , y) = (24 , 9)
Step-by-step explanation:
Simply plug in a x, and find a y that would make the equation true:
When x = 6:
6 - 2y = 6
6 (-6) - 2y = 6 (-6)
-2y = 0
(-2y)/-2 = (0)/-2
y = 0
When x = 6, y = 0 (x , y) = (6 , 0)
When x = 12:
12 - 2y = 6
12 (-12) -2y = 6 (-12)
-2y = -6
(-2y)/-2 = (-6)/-2
y = 3
When x = 12, y = 3 (x , y) = (12 , 3)
When x = 24:
24 - 2y = 6
24 (-24) - 2y = 6 (-24)
-2y = -18
(-2y)/-2 = (-18)/-2
y = 9
When x = 24, y = 9 (x , y) = (24 , 9)
~
solving and graphing inequalities
Answer:
wssp i can help
Step-by-step explanation:
what is the difference between 0.02 and -0.02
Answer:
0.04
Step-by-step explanation:
Using absolute value |.02|+|.-02|= .04
8. Misty created the number pattern below. 32, 28, 24, 20, ... If n represents a number in this pattern, which rule could be used to find the next number in the pattern?
Answer:
An = 32 - (4*(n-1))
Step-by-step explanation:
the starting term for this pattern is 32 (which you will need to include in the "rule")
you also know that the next term is the previous term - 4
so!
we can write this pattern as
An = 32 - (4*(n-1))
An = any number of term in the pattern
- ex). A2 = 28, A3 = 24, etc
n = the nth term
- the 3rd term = 24, the fourth term = 20, etc
An African elephant weighs 2 tons. How many pounds are in a herd with 26 elephants?
Answer:
52 pounds
Step-by-step explanation:
2 x 26= 52
The school debate team sold candy bars as fundraiser. The earnings are graphed below. What is the rate the debate team charged for each candy bar ?
Answer:
were is the graph lol
A farmer sells 8.3 kilograms of apples and pears at the farmer's market. 1/4 of this weight is apples, and the rest is pears. How many kilograms of pears did she sell at the farmer's market?
Answer:
6.23 kg of pears (check for rounding)
Step-by-step explanation:
8.3 / 4 = 2.08 kg of apples as it is 1/4 of 8.3
8.3 - 2.08 = 6.22 kg of pears
A dot plot titled Number of runs scored going from 0 to 5. 0 has 2 dots, 1 has 4 dots, 2 has 6 dots, 3 has 4 dots, 4 has 2 dots, and 5 has 1 dot. What is a dot plot and how do you read it? Check all that apply. A dot plot displays data values as dots above a number line. Dot plots show the frequency with which a specific item appears in a data set. There was 1 run in 5 of the games. There were 0 runs in 2 of the games. Dot plots show the distribution of the data. There were a total of 19 games.
Answer:
abdef (those are the answers)
Step-by-step explanation:
Answer:
all but C
Step-by-step explanation:
Playland Park charges $25 admission plus $2 per ride. Funland Park charges $35 admission plus $1 per ride. For what number of rides is the total cost the same at both parks?
The figure below is formed from a triangle and a
square. The square has sides that measure 5 units.
Find perimeter of the entire figure.
Hey guys can you guys help me thanks :)
Answer:
d
Step-by-step explanation:
60x9 =540
This is Adele’s solution for the equation.
x² - 8x – 33 = 0
Step 1: x² - 8x = 33
Step 2: x² - 8x + 16 = 33 + 16
Step 3: (x – 4)² = 49
Step 4: x – 4 = 49 OR x – 4 = - 49
Step 5: x = 53 OR x = - 45
Where did Adele make her mistake? What are the solutions to this equation? Show all of your work.
Answer:
B
Step-by-step explanation:
I'm pretty sure
An elementary school held a fundraiser. Students sold candles and plants. The plants sold for $12.50 each and the
candles sold for $3.75 each. The school raised $3,987.50 and sold 410 candles and plants altogether. How many
CANDLES did they sell?
Answer:
The school sold 130 candles
Step-by-step explanation:
Given that the plants sold for $12.50 each and the candles sold for $3.75 each. If the school raised raised $3,987.50 and sold 410 candles and plants altogether then the number of candles and plants sold may be computed simultaneously as follows:
Let the number of candles sold be c and the number of plants sold be p. If the school sold 410 candles and plants altogether
p + c = 410
p = 410 - c
if the plants sold for $12.50 each and the candles sold for $3.75 each and the school raised raised $3,987.50
12.5p + 3.75c = 3,987.50
12.5(410 - c) + 3.75c = 3,987.50
5125 -12.5c +3.75c = 3,987.50
-8.75c = 3,987.50 - 5125
-8.75c = -1137.5
c = -1137.5/-8.75
= 130
whats is the outcome to this pls
Answer:
what grade is this for?
Step-by-step explanation:
help for 10 points plsssss
Answer:
on math way you can take a picture of your problem. hope those helps
Step-by-step explanation:
a soccer game started at 2:15p.m. and ended at 3:35p.m. how long did the game last
Someone please help me answer this!!
The historical U.S. mean unemployment insurance benefit was reported to be $238 per week. A researcher in the state of Virginia anticipated that sample data would show evidence that the mean weekly unemployment insurance benefit in Virginia was above the national level. What would be the appropriate alternative hypothesis if he wanted to substantiate his suspicion
Answer:
The appropriate alternative hypothesis if he wanted to substantiate his suspicion would be [tex]H_{a}: \mu > 238[/tex]
Step-by-step explanation:
At the null hypothesis, we test that the mean is equal to a certain value.
At the alternate hypothesis, we test that the mean is different, less than or more than the mean value tested at the null hypothesis.
The historical U.S. mean unemployment insurance benefit was reported to be $238 per week.
This means that the null hypothesis is:
[tex]H_{0}: \mu = 238[/tex]
A researcher in the state of Virginia anticipated that sample data would show evidence that the mean weekly unemployment insurance benefit in Virginia was above the national level.
This means that the alternate hypothesis is:
[tex]H_{a}: \mu > 238[/tex]