Answer: 24
Step-by-step explanation:
The members of a band are arranged in a rectangular formation. When they are arranged in 8 rows, there are 2 positions unoccupied in the formation. When they are arranged in 9 rows, there are 3 positions unoccupied. How many members are in the band if the membership is between 100 and 200
Answer:
150
Step-by-step explanation:
Using 8 rows leaves 2 positions unoccupied implies that the population of the number of members in the band is 2 less than a multiple of 8. That makes this an even number.
Similarly, we understand that the number of members is 3 less than a multiple of 9. So, If we list the even numbers that are 3 less than multiples of 9 between 100 and 200 and are even; we have:
117 – 3, 135 – 3, 153 – 3, 171 – 3, 189 – 3
= 114, 132, 150, 168, 186
Also, the numbers that are two less than a multiple of 8:
102, 110, 118, 126, 134, 142, 150, 158, 166, 174, 182, 190, 198
From above, we will realize that the number common in both is 150
Let's check if that satisfy our calculation;
SO:
150/8 = 18 remainder 6 ; Thus 8 - 6 = 2 (positions)
150/9 = 16 reminder 6 ; Thus 9 - 6 = 3 (positions)
Hence the number of members in the band if the membership is between 100 and 200 is 150
A researcher is interested in determining the average number of years employees of a company stay with the company. If past information shows a standard deviation of 7 months, what size sample should be selected so that at 95% confidence the margin of error will be 2 months or less?
Answer:
48
Step-by-step explanation:
The significance level is 95%
Z-alpha/2 = 1.96 at 0.05 from the standard normal distribution table.
The standard deviation has been given to be 7
Margin of error is 2
We solve further using the formula:
n = (z-alpha/2 * sd/ME)²
n = (1.96 * 7/2)²
n = (1.96x3.5)²
= 6.86²
= 47.0596
This is approximately
n = 48
So the sample size they should be selected should be 48 for at 95% confidence level.
How does your estimate help you place the decimal
point in the product?
Answer:
Step-by-step explanation:
example: You add 4.20 and 6.90
the decimal point for the answer would be in the spot for the numbers in the problem.
AKA: YOU BRING THE DECIMAL DOWN
ANSWER:
1
4.20
6.90
+_____
11.10
solve for X SOMEONE PLSSSSS
x+53+65+70=180
Answer:
Ok so the answer is x = -8
Step-by-step explanation:
Have a nice day!!!
HELP PLZ ASAP :((((:(((
Answer:
The second option
Step-by-step explanation:
The domain is the x values and the range is the y values
please help
The model represents 100% of the cost of a trip to the Bahamas. Which model represents the cost of the trip if the trip cost is discounted 26%?
Answer:
should be A, if we have the right test
Step-by-step explanation:
Just count how much squares, if 100 is the whole thing, then count and see which one only has 26 blocks, this helps! :D
The sum of three numbers is 1349 the greatest number is three times the least number the third number is 133 less than twice the least number what are the three numbers?
Answer:
1,216 131,784 130,435
Step-by-step explanation:
What is the degree of x5 - 4x + 2?
A. 5
B. 3
C. 4
D. 6
Answer:
c-5Step-by-step explanation:
.......
...................
The degree of the given polynomial x⁵ - 4x + 2 is 5. The correct answer is option A. 5.
What is a polynomial?A polynomial is defined as a mathematical expression that has a minimum of two terms containing variables or numbers. A polynomial can have more than one term.
The degree of a polynomial is the highest power of the variable with a non-zero coefficient.
As per the question,
Here, 5 is the highest power of x with a non-zero coefficient.
Therefore, the degree of x⁵ - 4x + 2 is 5.
Hence, the correct answer is option A. 5.
Learn more about the polynomial here:
brainly.com/question/11536910
#SPJ7
Sarah has the following set of numbers.
18, 19, 22, 22, 25, 25, 26, 31, 32, 34, 37, 37, 37
What is the interquartile range for this set of numbers?
Answer:
14 because there are 14 numbers in the equation :)
The solution to -2x/3 + 7< 15 is the set ? A x>-12 B x<-12 C x>33 D x<-10
Answer:
A. x>-12
Step-by-step explanation:
-2x/3+7<15 Subtract 7 on both sides.
-7 -7
-2x/3<8 -2x/3 is equal to -2/3x, so you can simplify to that.
-2/3x<8 Because you have to isolate x, multiply by the reciprocal of the
*-3/2 *-3/2 fraction. This will divide by -2/3 on both sides.
x>-12 Remember, because you multiplied by a negative, you have to flip the inequality sign.
Hope this helps you! Have a nice day c:
What is the solution to - 2 (4p + 12) = 8(p - 11)?
PLSSS HELPPPP RIGHT NOWWW I NEED THISSSSS PLSS ANYBODY
Answer:
You cant see the picture its glitched send another one
Step-by-step explanation:
Find the unit rate. Round to the nearest hundredth, if necessary.
$390 for 16ft2?
The unit rate is $
Answer:
2.01030927835 or $2.01
Step-by-step explanation:
16 ft 2 in = 194 in
390/194 = 2.01030927835
Simplify, $2.01
Hope this Helps :)
In math class the girl to boy ratio is 8to 6. If there are 24 girls in the class how many boys are there
Answer:
easy math Girls=24 Boys=? The answer is 18 boys
Step-by-step explanation: What you know is for every 8 girls that is 1/3 of the total number of girls, so you just multiply 6 time 3. Hope this helped :)
Please with cherry on top help me solve this. I don’t understand this. I will give you brainliest.
Answer:
It is a simple rate of change if you take $30+$0.80 each day or $2.30 and set them equal to eachother. you should get 20 rides.
some tv sets show 25 images called frames each second what is the time interval between each frame and the next?
Answer:
0.04
Step-by-step explanation:
25 images / 1 second
pls mark brainlist :)
In a survey of 2,100 people who owned a certain type of car, 420 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
Estimation for 2 1/3 divided by 1/3
Answer:
7 because u are changing division to mutiplication its called replicate
Answer:
since 2 and 1/3 is a mixed number change it into an improper fraction so it will be 7/3 / 1/3 find the reciprocal of the second fraction that is one of the three the reciprocal will be 3/1 so it will be 7/3 * 3/1 because when you find the reciprocal of a second fraction you also find the reciprocal of the sine and in this case division will change to multiplication when you multiply it you'll get the answer to be 7 hope it helps
What is the meaning of the expression 5 x (100 - 25)?
Answer:5 x (100 - 25) = 375
Step-by-step explanation: 5 x 75 = 375
Slope intercept (-2,5) and (2,1)
Answer:
y=-1x+3
Step-by-step explanation:
1-5=-4
2--2=4
-4/4= -1
help me please i will choose brainlest idk how to spell
Does anyone know how to find the measure of this missing angle ?
Answer:
x=57
Step-by-step explanation:
x+28+x+38=180
Step 1: Simplify both sides of the equation.
x+28+x+38=180
(x+x)+(28+38)=180(Combine Like Terms)
2x+66=180
2x+66=180
Step 2: Subtract 66 from both sides.
2x+66−66=180−66
2x=114
Step 3: Divide both sides by 2.
2x/2=114/2
Answer:
x=57
Answer:
57
Step-by-step explanation:
x+28+x+38=180
2x+66=180
-66 -66
2x=114
/2 /2
x=57
I think
Please help ASAP
In the diagram, line a and b are parallel. Line is the transversal.
Given that the measure of angle POQ is 114° determine the measure of angle QON
In your explanation be sure to include the key terms corresponding angles ,supplementary Angles, parallel lines ,and transversal computational slep in complete sentences
Answer:
66 not parallel or transversal I believe its supplementary
Step-by-step explanation:
what is the magnitude(size)of -8.5 plz help me
Answer: I will leave a comment with the answer i am
doing the math rn
Step-by-step explanation:
In a small city, approximately 15% of those eligible are called for jury duty in any one calendar year. People are selected for jury duty at random from those eligible, and the same individual cannot be called more than once in the same year. (a) What is the probability that a particular eligible person in this city is selected in both of the next 2 years
Answer:
0.0225
Step-by-step explanation:
Probability that an eligible individual is called for jury duty in any one calendar year = 15/100 = 0.15
a) What is the probability that a particular eligible person in this city is selected in both of the next 2 years
Probability that an eligible person is chosen in each of the next 2years:
P(being chosen in first year) * P(being chosen in second year)
Since the probability of being chosen is the same in any one year with a probability of 0.15
Hence,
P(being chosen in first year) * P(being chosen in second year)
0.15 * 0.15 = 0.0225
a. the probability that a particular eligible person in this city is selected in both of the next 2 years is 0.0225
Calculation of the probability:Since In a small city, approximately 15% of those eligible are called for jury duty in any one calendar year and there is two years.
So, the probability is
= 0.15 (0.15)
= 0.0225
Learn more about probability here: https://brainly.com/question/10695144
Mr. Livio earns an hourly wage for every hour he works. Last week, he earned $663.85 and worked for 85.5 hours. How much money does Mr. Livio earn per hour?
Solve -9x-3x+4 = -10x - (2x- 4)
Answer:
−
9
x
−
3
x
+
4
, then set it equal to
−
10
x
−
(
2
x
−
4
)
.
Always true
Step-by-step explanation:
Answer:
All real numbers
Step-by-step explanation:
-9x-3x+4 = -10x - (2x- 4)
-12x+4=-10x-2+4
-12x+4=-12x+4
Line d has a slope of -9/7. Line e is parallel to line d  what is the slope of line E
Answer: -9/7
Step-by-step explanation: The slope of parallel lines are the same/equal. Only the y intercept is different
I need help with this question.
you have observed that the average size of a particular goldfish is 1.5 inches long. the standard deviation of the size of the goldfish is 0.25 inches. approximately what is the size of a goldfish such that only 16 percent of the goldfish are smaller from such size
Answer:
The 16 percent of the goldfish are smaller from 1.25 inches.
Step-by-step explanation:
Let X denote the size of a particular goldfish.
It is provided that the mean size is, μ = 1.5 inches and standard deviation of the size is, σ = 0.25 inches.
Assume that X is normally distributed.
Compute the size of a goldfish such that only 16 percent of the goldfish are smaller from such size as follows:
P (X < x) = 0.16
⇒ P (Z < z) = 0.16
The z-value for such a probability is:
z = -0.99
*Use a z-table.
Compute the value of x as follows:
[tex]z=\frac{x-\mu}{\sigma}\\\\-0.99=\frac{x-1.5}{0.25}\\\\x=1.5-(0.99\times 0.25)\\\\x=1.2525\\\\x\approx 1.25[/tex]
Thus, the 16 percent of the goldfish are smaller from 1.25 inches.
