Find the length of the missing side. Round answers to the nearest tenth it
necessary. *
8
8
Find the solutions of each equation on the interval [0, 2π)
Answer/Step-by-step explanation:
Factor this. GCF=2
2(2cos2x+cos x-1)=0
2(2cos x -1)(cos x+1)=0 Set each factor equal to zero and solve
2cos x -1=0 Add 1 to both sides
2cos x =1 Divide by 2
cos x =1/2
x=π/3
x=5π/3
cos x+1=0 Subtract 1 from both sides
cos x=-1
x = π
Write inequalities to represent the situations below. The temperature inside the lab refrigerator is no more than 35 . Use t to represent the temperature (in ) of the refrigerator.
Answer:
t is less than or equal to 35
Step-by-step explanation:
Will mark Brainlyist help me fill out the chart
Answer:
The working is done in the image attached.
Mark the best answer.
1. The grid map shows the location of
some places on a college campus.
What are the coordinates of the
dormitory? (8-1)
Library
Gymnasium
12 Student
Center
5 4 3 2
Dormitory
I.XI
10
2013
Academic
Hall
A (2.1)
B 12)
CK1-2)
D (2.1)
Answer:
it makes sense
Step-by-step explanation:
HELP EMERGANCY FAST ANSWERS TIME LIMIT
Assume Sheila's nominal salary increases from $42,000 in 2003 to $69,000 in 2004.
If the Deflator increased from 106 in 2003 to 109 in 2004 and the CPI increased
from 184 in 2003 to 190 in 2004, what was Sheila's percentage increase in real
income?
6
Answer:
E)
Step-by-step explanation:
1 - (69,000 / 42,000) = .64285 * 100% = 64.3%
1. What is 2 added to 1?
4
in
Answer:
3
Step-by-step explanation:
what is the 4 in for?
Answer:
2+1=3
I think you copy pasted something else like the '4 in'.
Step-by-step explanation:
k a i ran 3/5 of a kilometer yesterday and today he ran 6 times as far so how much did he run today
Answer:
Today, kai ran 1 3/5 kilometers.
Step-by-step explanation:
im sorry if this is incorrect.
Determine if the finite correction factor should be used. If so, use it in your calculations when you find the probability. In a sample of 800 gas stations, the mean price for regular gasoline at the pump was $2.816 per gallon and the standard deviation was $0.008 per gallon. A random sample of size 45 is drawn from this population. What is the probability that the mean price per gallon is less than $2.812?
Answer:
0.0003 = 0.03% probability that the mean price per gallon is less than $2.812
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal probability distribution
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.
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.
Finite correction factor:
If the sample is more than 5% of the population, instead of Central Limit Theorem, we use the finite correction factor, as the standard deviation of the sampling distribution would be too big.
The mean price for regular gasoline at the pump was $2.816 per gallon and the standard deviation was $0.008 per gallon.
Large sample, so this can be treated as the population data. Then [tex]\mu = 2.816, \sigma = 0.008[/tex]
Sample of 45:
45/800 = 0.056 = 5.6% -> Sample more than 5% of the population, so we use the finite correction factor. This means that s will be multiplied by:
[tex]FCF = \sqrt{\frac{N-n}{N-1}}[/tex]
In which n is the size of the sample(45) and N is the size of the population (800). So
[tex]FCF = \sqrt{\frac{755}{799}} = 0.9721[/tex]
By the Central Limit Theorem, [tex]n = 45, s = 0.9721*\frac{0.008}{\sqrt{45}} = 0.00116[/tex]
What is the probability that the mean price per gallon is less than $2.812?
This is the pvalue of Z when X = 2.812. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{2.812 - 2.816}{0.00116}[/tex]
[tex]Z = -3.45[/tex]
[tex]Z = -3.45[/tex] has a pvalue of 0.0003
0.0003 = 0.03% probability that the mean price per gallon is less than $2.812
Do set of numbers DO NOT form a Right Triangle?
4, 5, 6
9, 12, 15
5, 12, 13
3,4,5
It’s not 3,4,5 apparently..
Step-by-step explanation:
4,5,6 do not form a right angle triangle cus 4²+5² is not equal to 6² i.e 16+25is not equal to 36
19 cm
6 cm
30 cm
The container is 2/3 full of water.
A cup holds 275 ml of water.
What is the greatest number of cups that can be completely filled with water from
the container? (4)
Answer:
A total of 8 (eight) completely filled cups.
Step-by-step explanation:
Recall that 1 milliliter is the SAME as 1 cubic cm. Therefore, the 275 ml cup holds exactly 275 cm^3 of water.
Now calculate the volume of water in the container. Since the container measures 19 cm x 6 cm x 30 cm, its total volume is:
Volume = 19 x 6 x 30 = 3420 cm^3
The amount of water in it fills 2/3 of its volume, then:
amount of water = 2/3 (3420) = 2280 cm^3
Now to find how many cups can be filled with such amount of water, we do the division:
2280 / 275 = 8.29
Then the maximum number of completely filled cups is: 8
Ten more than four times a number is equal to the difference between 73 and three times the number. Find the number.
Answer:
let x be the number then,
according to question ,
10+4x=73-3x
or, 4x+3x=73-10
or, 7x= 63
or, x= 63÷7
or,x=9 ans
hence , the number is 9
How many points are needed to determine a straight line?
A. only one point
B. at least two points
C. at least three points
D. more than three points
Answer:
b
Step-by-step explanation:I hope this helps
two distance are in the ratio 9 to 4 if the first distance is 270km, what is the second distance?
Let's practice a little algebra and set the second distance to x.
9/4=270/x
solve
9x=270*4
x=30*4
x=120
The second distance is 120.
Done! any question about this just ask me in the comment.
find the highest common factor using prime factorization for 27y and 54y³
Given:
27y and 54y³
To find:
The highest common factor (HCF) using prime factorization.
Solution:
We have,
27y and 54y³
Using the prime factorization, we get
[tex]27y=3\cdot 3\cdot 3\cdot y[/tex]
[tex]54y^3=2\cdot 3\cdot 3\cdot 3\cdot y\cdot y\cdot y[/tex]
Now, the common prime factors are 3, 3, 3 and y. So,
[tex]HCF=3\cdot 3\cdot 3\cdot y[/tex]
[tex]HCF=27y[/tex]
Therefore, the highest common factor of the given terms is 27y.
NEED HELP W GEOMETRY
In △
ABC, ∡A
is 2 more than twice ∡B
, and ∡C
is 7 less than twice ∡B
. What is the measure of each angle in △
ABC and what is its classifications?
Answers:
Angle A = 76Angle B = 37Angle C = 67Triangle ABC is an acute triangle. It's also a scalene triangle.
====================================================
Work Shown:
x = measure of angle B
2x+2 = measure of angle A, since we're told its "2 more than twice angle B"
2x-7 = measure of angle C, for similar reasoning
The three angles add to 180. This is true for any triangle
A+B+C = 180
(2x+2)+(x)+(2x-7) = 180
5x-5 = 180
5x = 180+5
5x = 185
x = 185/5
x = 37
This means angle B is 37 degrees. The other two angles are
A = 2x+2 = 2*37+2 = 74+2 = 76
C = 2x-7 = 2*37-7 = 74-7 = 67
----------------
In summary, we have these three interior angles
A = 76B = 37C = 67As a way to check, note how A+B+C = 76+37+67 = 180. This confirms the answer. All three angles mentioned are smaller than 90 degrees, so this triangle is acute.
Furthermore, because all three angles are different measures, this means all three sides are different lengths. This leads to triangle ABC being scalene.
what is the Multiplicative of -12
multiplicative would be ;
-12 ------> 1/-12
A dealer sells an air conditioner for ruppees 23000 and earns 15% on it . Find its cost price.
Answer:
20000
Step-by-step explanation:
115%-> 23000
100%->20000
3(x-4)=12x distributing or diving
Order this set of numbers from greatest to least. Then explain the order, referring to the number line in your explanation,
-1.79, 2 1/4, 2.54,-4
3629 you can use the digits twice make the largest four digit number
Answer:
9632
or
9966
Step-by-step explanation:
im not 100% sure
what times 4/5 equals 3/4
Answer:
15/16
Step-by-step explanation:
4/5 x=3/4
x=(3/4)/(4/5)
x=15/16
What is 36divided by 6.
Answer:
6
Step-by-step explanation:
It is six because 6x6=36
Simon mixes dried fruits and nuts to make a trail mix that he sells at the farmer's market. The dried fruits cost $6 per pound. The nuts cost
$2 per pound. It costs Simon $40 to make 12 pounds of trail mix.
Which system of equations can be used to find the number of pounds, x, of dried fruits and the number of pounds, y, of nuts that Simon used
to make 12 pounds of trail mix?
Answer:
d
Step-by-step explanation:
Write an equation in slope-intercept form of a line that has a slope of -2/3 and a y-intercept of 6.
respondo por qué el juego me lo diste 2+24
Answer:
y = -2/3x + 6Step-by-step explanation:
Equation in slope-intercept form:
y = mx + bSubstitute values:
y = -2/3x + 6Find the area of the kite.
Area=
(Simplify your answer)
Is 5.3 a possible solution to x > 5 ?
Yes 5.3 is greater than 5
5.3 > 5
Answer:
yes, it is.
Step-by-step explanation:
its a solution because in the graph below, 5.3 is in the shaded region. hope this helped!!
Solve for the indicated variable
for x: d=ax+bx
Answer:
d/ ( a+b) = x
Step-by-step explanation:
d=ax+bx
Factor out x
d = x( a+b)
Divide each side by (a+b)
d/ ( a+b) = x (a+b)/ (a+b)
d/ ( a+b) = x
Kaitlin has four and two-thirds berry pies. She is going to share it equally among 12 people. How much pies will each person get?
Answer:
7/18
Step-by-step explanation:
4 2/3=14/3
(14/3)/12=14/36
reduces to
7/18
What is the percent of increase from 25 to 26?
Answer:
4 percent
Step-by-step explanation:
because the new value is greater than the old value
The Answer is 4 percent