A major arc will have a measure that is
O A. greater than 180°
OB. less than 180°
O C. equal to 180°
Answers
Think Major greater than 180°, Minor less than 180°. If arc equals 180° than it is a semi circle.
A.
Related Questions
Suppose the average age of family members is 34 with a standard deviation of 4. if 100 members of the community decided to have a summer outing bonding and relaxation, find the probability that the average of these members is less than 35?
Answers
Using the normal distribution, it is found that there is a 0.9938 = 99.38% probability that the average of these members is less than 35.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].In this problem, we have that the parameters are given as follows:
[tex]\mu = 34, \sigma = 4, n = 100, s = \frac{4}{\sqrt{100}} = 0.4[/tex].
The probability that the average of these members is less than 35 is the p-value of Z when X = 35, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{35 - 34}{0.4}[/tex]
Z = 2.5
Z = 2.5 has a p-value of 0.9938.
0.9938 = 99.38% probability that the average of these members is less than 35.
More can be learned about the normal distribution at https://brainly.com/question/24663213
#SPJ1
A square purple rug has a green square in the center. The side length of the green square is x inches. The width of the purple band that surrounds the green square is 3 in. What is the area of the purple band?
Answers
Parallelogram L M N O is shown. Angle N is (2 x) degrees and angle L is (3 x minus 20) degrees.
What is the measure of angle L in parallelogram LMNO?
Answers
Explore
create a dot plot of a sample of the population whose
mean is the same as the population mean.
your sample should have more than six, but fewer than
20 data points.
count
number
2
10
12
8
hean
10
12
8
mean
934
Answers
The 2nd dot plot in the attachment represents the dot plot that has the same sample mean as the population mean
How to create the dot plot?The dot plot that completes the question is added as an attachment.
Start by calculating the mean of the data plot using:
[tex]\bar x = \frac{\sum fx}{\sum f}[/tex]
Substitute the values on the dot plot
[tex]\bar x = \frac{2*1+3*3+4*2+5+6*3+7*5+8*2+9*4+11*2+12*2}{25}[/tex]
[tex]\bar x = 7[/tex]
This means that the population mean of the dot plot is 7
Next, we create another dot plot that has the same mean as 7.
There are no direct rules to this, so we make use of the trial by error method.
After several attempts, we have the following frequency table:
Data point Frequency
2 1
3 2
4 0
5 4
6 5
7 2
8 5
9 0
10 2
12 3
The mean of the frequency table is:
[tex]\bar x = \frac{2 * 1 + 3 * 2 + 4 * 0 + 5 * 4 + 6 * 5 + 7 * 2 + 8 * 5 + 9 * 0 + 10 * 2 + 12 * 3}{1+2+0+4+5+2+5+0+2+3}[/tex]
Evaluate
[tex]\bar x = \frac{168}{24}[/tex]
Evaluate the quotient
[tex]\bar x = 7[/tex]
This means that the sample mean is 7 (same as the population mean)
Lastly, we represent the frequency table using a dot plot (the 2nd dot plot in the attachment)
Read more about dot plot at:
https://brainly.com/question/21862696
#SPJ1
How many rational numbers lie between any two fractions?
Answers
Answer:
Infinite number of rational numbers exist between any two distinct rational numbers. We know that a rational number is a number which can be written in the form of qp where p and q are integers and q =0.
In any triangle ABC, if c=30°,b= 4, a=2 find A and B.
Answers
Using the Law of Cosines,
[tex]c^{2}=2^{2}+4^{2}-2(2)(4)(\sin 30^{\circ})\\\\c^{2}=12\\\\c=2\sqrt{3}[/tex]
Using the Law of Sines,
[tex]\frac{\sin A}{a}=\frac{\sin C}{c}\\\\\frac{\sin A}{2}=\frac{\sin 30^{\circ}}{2\sqrt{3}}\\\\\frac{\sin A}{2}=\frac{1}{4\sqrt{3}}\\\\\sin A=\frac{1}{2\sqrt{3}}\\\\A=\boxed{\sin^{-1} \left(\frac{1}{2\sqrt{3}} \right)}[/tex]
So, as angles in a triangle add to 180 degrees,
[tex]B=180^{\circ}-30^{\circ}-\sin^{-1} \left(\frac{1}{2\sqrt{3}} \right)\\\\B=\boxed{150^{\circ}-\sin^{-1} \left(\frac{1}{2\sqrt{3}} \right)}[/tex]
Simplify the expression 5^3 x 5^-5
A. 5^2
B. 1/5
C. 1/5^2
D. -52
Answers
[tex] {5}^{3} \: \times \: {5}^{ - 5} [/tex]
We first compute the product.[tex] {5}^{ - 2} [/tex]
We can transform the product into positive if we use this formula:[tex] \boxed{ {a}^{ - n} \: = \: \frac{1}{ {a}^{n} } }[/tex]
We apply it:[tex] {5}^{ - 2} \: = \: \boxed{ \bold{\frac{1}{ {5}^{2} } }}[/tex]
Answer:[tex]\text{Option C.} \: \boxed{ \bold{\frac{1}{ {5}^{2} } }}[/tex]
MissSpanishWhat conclusions can you draw from the first battles in the civil war?
Answers
At the stadium, there are eight lines for arriving customers, each staffed by a single worker. The arrival rate for customers is 190 per minute and each customer takes (on average) 2 seconds for a worker to process. The coefficient of variation for arrival time is 1.2 and the coefficient of variation for service time is 1.5. (1) How much time (in seconds) will an average customer spend in queue
Answers
Answer:
3.287 Customers
Step-by-step explanation:
Interarrival time (a) = 60 seconds per minute / 190 customers per minute = 0.316 seconds.
Utilization = p / (a × m) = 2 / (0.316 × 8) = 0.792.
Number in queue = Tq / a = 1.038 / 0.316 = 3.287 customers.
Mickey drew a scale drawing of the room in his junior high building using the scale 1 centimeter (cm) - 1.5 meters (m). the office in his scale drawing measured 2.6 cm * 3.2 cm. what
are the actual dimensions of the office?
2.6 m x 3.2 m
1.7 m x 2.1 m
3.9 m x 4.8 m
4.1 m x 47 m
Answers
Answer:
3.9m x 4.8m
Step-by-step explanation:
1 cm = 1.5m
→ Multiply both sides by 2.6
2.6 cm = 3.9m
→ Multiply from the original statement, both sides by 3.2
3.2 cm = 4.8 m
→ Combine them
3.9m x 4.8m
Complete the equations below. 15.3 ÷ 3 = tenths + 3 15.3÷ 3 = tenths 15.3 ÷ 3 =
Answers
The value of the complete equation is 5.1.
We have given the equation,
15.3 ÷ 3 = tenths + 3 15.3÷ 3 = tenths 15.3 ÷ 3
What is the equation?
An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Therefore we have,
[tex]15.3/3=15+0.3 \ tenths/3\\=5+0.1 \ tenths\\=5.1[/tex]
Therefore the value of the complete equation is 5.1.
To learn more about the complete solution of the equation visit:
https://brainly.com/question/2226590
#SPJ1
How would I solve this?
Answers
Answer:
(-2, -2)
Step-by-step explanation:
the solution of the system of equation put simply is the point of intersection between the 2 lines
hence, the answer is (-2,-2)
The number of swimsuits purchased at a department store is positively correlated with each of these variables. a change in which variable most likely caused a change in the number of swimsuits purchased?
Answers
The variable that is most likely to have a positive correlation with the number of swimsuits purchased is the temperature changing outside.
What is positive correlation?Correlation measures the relationship between two variables. When there is a positive correlation, it means that the two variables move in the same direction. If one of the variables increases, the other variable increases. If one of the variables decreases, the other variable decreases.
When it is summer, it is expected that the number of swimsuits bought would increase. When it is winter, it is expected that the number of swimsuits bought would decrease.
Here are the options:
A. The number of swimsuit cover-ups the store has in stock
B. The number of sand castles built by store customers
C. The temperature outside changing
D. The number of minutes it takes the store's employees to get to work
To learn more about correlation, please check: https://brainly.com/question/27246345
#SPJ1
calculate 20% of R400
Answers
Answer:
80Step-by-step explanation:
400: 100 you find 1% you multiply it by 20 and you have 20%
400 : 100 * 20 =
4 * 20 =
80
According to a survey, 48% of adults in the united states believe that unidentified flying objects (ufos) are observing our planet. you ask 8 randomly chosen adults whether they believe ufos are watching earth.
Answers
The expected number of adults that believe ufos are watching earth is 4
How to determine the number of adults?The given parameters are:
p = 48%
Sample size, n = 8
The expected number of adults that believe ufos are watching earth is calculated as:
E(x) = np
This gives
E(x) = 8 * 48%
Evaluate
E(x) = 3.84
Approximate
E(x) = 4
Hence, the expected number of adults that believe ufos are watching earth is 4
Read more about expected values at:
https://brainly.com/question/15858152
#SPJ4
NEED ANSWER ASAP HELP
Given ABC with altitude h
Prove: sin(B)/b=sin(C)/c
Answers
Using the given information in the diagram, we have proven that sin(B)/b = sin(C)/c
Proving the Sine ruleFrom the question, we are to prove that sin(B)/b=sin(C)/c
Consider the right triangle with sides a, c, and h
Using SOH CAH TOA, we can write that
sin(B) = h/c
∴ h = c × sin(B) --------- (1)
Also,
Consider the other right triangle
Using SOH CAH TOA, we can write that
sin(C) = h/b
∴ h = b × sin(C) ---------- (2)
Equate equations (1) and (2)
That is,
c × sin(B) = b × sin(C)
This can then be expressed as
sin(B)/b = sin(C)/c
Hence, the given expression is proven as shown above
Learn more on Proving the Sine rule here: https://brainly.com/question/12271113
#SPJ1
How many solutions exist for the system of equations graphed below?
a.) none
b.) one
c.) two
d.) infinitely many
Answers
Answer:
one
Step-by-step explanation:
When a system of equations is graphed, the solution is the coordinate that is plotted at the intersection of the two lines.
If the two lines cross once, there is only one solution.
If the two lines are on top of each other then there are infinitely many solutions.
If the two lines are parallel ( and never touch ) then there are no solutions
By looking at the graph we notice the two lines intersect once. So we can conclude that there is only one solution.
Detailed Explanation:
For the graph of a system of linear equations :-
• If the lines are parallel, then the pair of equations has no solution
• If the lines are coincident, then the pair of equations has infinite solutions
• If the lines are intersecting, then the pair of equations have one solution.
In this graph, the lines formed by the equations are intersecting at a point. Hence it has a unique solution.
Which equation is represented by the graph below?
←+
+
1 2 3 4 5 x
5
54
3.
2-
1
--5-4-3-2-11
-2
-3
Answers
The function of the curve is an exponential function. So, the function would be y = e^x.
What are exponential functions?When the expression of function is such that it involves the input to be present as an exponent (power) of some constant, then such function is called exponential function.
Their usual form is specified below. They are written in several such equivalent forms.
For example, [tex]y^x[/tex]
where a is a constant is an exponential function.
We can see that the curve of the function is decreasing constantly.
Thus, the function of the curve is an exponential function. So, the function would be y = e^x.
Learn more about exponential growth and decay here:
https://brainly.com/question/2193820
#SPJ1
What type of function is f(x) = 2x³ - 4x² + 5? O Exponential O Logarithmic O Polynomial O Radical
Answers
Answer:
Polynomial
Step-by-step explanation:
⇒ It cannot be option 1 as y does not vary with an exponent
⇒ It cannot be option 2 as y does not relate to any logarithmic values of x
⇒ It cannot be a option 4 as there no irrational numbers under a root
⇒ Therefore it is a polynomial, as it is written in the form : y = ax³ + bx² + cx + d (cubic polynomial)
Isabelle has a five-sided chicken coop in her yard. each side has an equal length. what is the total perimeter of the chicken coop if the length of one side is yards? recall that the perimeter is the sum of all sides of a shape or boundary. yards yards yards yards
Answers
The total perimeter of the chicken coop if the length of one side is 3√5 yards is; 15√5 yards.yards
How to calculate the total perimeter?We are told that Isabelle had a five sided chicken coop in her yard and that the length was equal in all the sides.
Now, we need to find the total perimeter of the chicken coop.
The length of one side of the coop from online sources is 3√5 yards.
Since the coop is 5 sided, it means that it is a pentagon and we know that;
Perimeter of a pentagon = 5a
Where a is length of one side of the pentagon. Thus;
Perimeter = 5 x 3√5
Perimeter = 15 √5 yards
Read more about Total Perimeter at; https://brainly.com/question/24571594
#SPJ1
Needing help with these 2 problems
Answers
Answer:
15) 3.2
17) 13.4
Step-by-step explanation:
To find the missing lengths, you need to use the Pythagorean theorem:
a² + b² = c²
In this form, "c" represents the length of the hypotenuse and "a" and "b" represent the lengths of the other two sides.
You are trying to find one of the side lengths (not the hypotenuse) in 15). To find the other length, you can plug the other values into the equation and simplify to find "b".
15) a = 4.1 c = 5.2
a² + b² = c² <----- Pythagreom Theorem
(4.1)² + b² = (5.2)² <----- Plug values in for "a" and "c"
16.81 + b² = 27.04 <----- Raise numbers to the power of 2
b² = 10.23 <----- Subtract 16.81 from both sides
b = 3.2 <----- Take the square root of both sides
You are trying to find the hypotenuse in 17). Since you have been given the lengths of the other sides, you can plug them into the equations and simplify to find "c".
17) a = 4.4 b = 12.7
a² + b² = c² <----- Pythagreom Theorem
(4.4)² + (12.7)² = c² <----- Plug values in for "a" and "b"
19.36 + 161.29 = c² <----- Raise numbers to the power of 2
180.65 = c² <----- Add
13.4 = c <----- Take the square root of both sides
4 5/6 - 2 1/2
please help!
Answers
Answer:
2.33
Step-by-step explanation:
Convert any mixed numbers to fractions.
Then your initial equation becomes:
296−52
29
6
−
5
2
Applying the fractions formula for subtraction,
=(29×2)−(5×6)6×2
=
(
29
×
2
)
−
(
5
×
6
)
6
×
2
=58−3012
=
58
−
30
12
=2812
=
28
12
Simplifying 28/12, the answer is
=213
can someone help me to number 2,4&5.
just 2,4&5 that's all thank you.
Answers
Answer:
See below ~
Step-by-step explanation:
Consider the graph of the linear function h(x) = -x + 5. Which could you change to move the graph down 3 units?
O the value of b to -3
the value of m to -3
the value of b to 2
O the value of m to 2
Intro
Done
Answers
Answer:
the value of b to 2
The value of b changes to 2.
The correct option is C.
What is Linear Equation?A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included.
We have,
Equation: h(x) = -x + 5
Now, using the slope intercept form
y = mx + b
From which we get
m = -1 and b=5
Now, we need to move the graph 3 units down then we need to subtract given function by 3, we get
y = -x+5 -3
y = -x +2.
Here y-intercept is 2.
Learn more about Linear Equation here:
https://brainly.com/question/4025726
#SPJ7
At 13:00, a water tank contained 180 litres of water. Water flowed from the tank at a constant rate until, at 17:30, the tank was completely empty. Calculate the rate of flow of water from the tank in litres per hour. If your answer is a decimal, give it to 1 d.p.
Answers
The drain rate is constant and thus equal to the average drain rate over the entire 4.5 hour period. This rate is
[tex]\dfrac{0 \,\mathrm L - 180 \,\mathrm L}{4.5 \,\rm h} = -40 \dfrac{\rm L}{\rm h}[/tex]
which is to say, water flows from the tank at a rate of 40 L/h.
216, 36,6, Find the 8th term.
Answers
Answer:
1
Step-by-step explanation:
216 is term 1
36 is term 2
6 is term 3
1 is term 4
I NEED HELP ASAP
A box has 1 red marble, 3 blue marbles, and 4 green marbles. Maya draws a blue marble randomly from the box, replaces it, and then draws another marble randomly. What is the probability of drawing 2 blue marbles in a row? Explain your answer.
Answers
Answer:
8
Step-by-step explanation:
each times she draws there is 3 blue marbles that she can pick so her chance of picking one blue marble out of the box is 3/8 hope i helped!
Answer: 3/8
Step-by-step explanation:
Can you help me please!!!!
Answers
Answer:
Irrational
Step-by-step explanation:
[tex]\sqrt{9}= 3[/tex]
3 × √3 = 3√3 which is irrational
Hope this helped and brainliest please
Product is multiplication:
√3 x √9 = 3√3 = 5.19615....
Because the fraction does not end, it is not rational.
Answer: Irrational
X is a normally distributed random variable with mean 46 and standard deviation 22.
What is the probability that X is between 2 and 90?
A. .99
B. .95
C. .85
D. .65
Answers
Answer:
B. 0.95
Step-by-step explanation:
The probability that the value of the random variable is in the given range is the area under the normal probability distribution curve over that range. The value of this area is conveniently provided by any number of calculators, apps, or spreadsheets. It can also be determined using the "empirical rule" that tells you the probability over certain normalized ranges.
__
normalized rangeA standard normal probability density function (PDF) has a mean of 0 and a standard deviation of 1. The range in this problem can be normalized to some number of standard deviations above or below the mean. The mean is given as 46, and the standard deviation is given as 22.
In this problem, the lower limit of the range is ...
z = (2 -46)/22 = -2
standard deviations from the mean.
Similarly, the upper limit is ...
z = (90 -46)/22 = +2
standard deviations from the mean.
empirical ruleThe empirical rule tells us that 95% of the area of the PDF lies between -2 and +2 standard deviations from the mean.
P(2 < X < 90) ≈ 0.95
_____
Additional comment
The empirical rule for other ranges is ...
± 1 standard deviation: 68%
±2 standard deviations: 95%
±3 standard deviations: 99.7%
3n + 19 = 28
How do I solve this
Answers
Answer:
to solve this you need to find out what number n is to make it equal 28.
Step-by-step explanation:
19+3 =22 so 3 is not it
19+9=28
answer is 9
hopefully this is right and this gets to you on time
Answer:
err Im not sure if this is a multiple-choice but n=3
Step-by-step explanation:
3(n) + 19 is 28 meaning you have to find what multiplies with 3 to get 9 because 19+9 is 28
Hope this helps