Answer:
6
Step-by-step explanation:
Factorize of the above numbers :
30 = 2 • 3 • 5
66 = 2 • 3 • 11
84 = 22 • 3 • 7
Build a prime factors table
Number of times each prime factor
appears in the factorization of :
Prime
Factor Number
30 Number
66 Number
84 G.C.F
(min)
2 1 1 2 1
3 1 1 1 1
5 1 0 0 0
7 0 0 1 0
11 0 1 0 0
GCF = 2 • 3
Greatest Common Factor is :
6
Could someone help me figure this out??
Answer:
180
Step-by-step explanation:
Find the quotient of 10x4 / 5x2.
I need help with a Delta math Assignment
Gabriella made 5% of her free throws over the season. If she shot 180 free throws, how many did she make?
Answer:
9
Step-by-step explanation:
ASAP Point A, located at (-3, -3) is translated 6 units up, resulting in the location of point A'. What other transformation would result in the same location for point A'? A reflection in the x-axis A translation of 6 units to the left A reflection in the y-axis A rotation of 180°
~I KNOW ITS NOT A REFLECTION IN THE Y-AXIS
Answer:
(3,3)
Step-by-step explanation:
A reflection of this across the y-axis is (-3,3). A reflection of Point A, (-3,-3), over the x-axis is also (-3,3).
4. What number comes next. Whats my rule?
34,41,. 55,63,
Whats my rule?
(2 Points)
Enter your answer
4. Find the greatest number which divides 171 and 251 leaving the remainders
3 and 6 respectively.
Answer:
The answer is 7.
Augusto wants to prove to his parents that watching TV while he does his homework will help him get better grades. He decides to ask 20 of his friends if they watch TV while they do their homework and what their grades are. He finds that his friends who have high grades also watch TV while they do their homework. He tells his parents that he has proven that watching TV while doing homework will cause his grades to improve. What mistake has Augusto made?
Answer:
Augusto was biased and only asked his friends
Step-by-step explanation:
Augusto should've asked 20 random people, since the people he hangs around the most probably have the same habits
This was not a fair collection of data
He did not use a random sample, and he tried to show cause and effect with an observational study
A small hair salon in Denver, Colorado, averages about 30 customers on weekdays with a standard deviation of 6. It is safe to assume that the underlying distribution is normal. In an attempt to increase the number of weekday customers, the manager offers a $2 discount on 5 consecutive weekdays. She reports that her strategy has worked since the sample mean of customers during this 5 weekday period jumps to 35.
Required:
What is the probability to get a sample average of 35 or more customers if the manager had not offered the discount?
Answer:
0.0314 = 3.14% probability to get a sample average of 35 or more customers if the manager had not offered the discount
Step-by-step explanation:
To solve this question, we need to understand 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 z-score 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 p-value, 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.
A small hair salon in Denver, Colorado, averages about 30 customers on weekdays with a standard deviation of 6.
This means that [tex]\mu = 30, \sigma = 6[/tex]
5 consecutive weekdays.
This means that [tex]n = 5, s = \frac{6}{\sqrt{5}} = 2.6832[/tex]
What is the probability to get a sample average of 35 or more customers if the manager had not offered the discount?
This is 1 subtracted by the pvalue of Z when X = 35.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{35 - 30}{2.6832}[/tex]
[tex]Z = 1.86[/tex]
[tex]Z = 1.86[/tex] has a pvalue of 0.9686
1 - 0.9686 = 0.0314
0.0314 = 3.14% probability to get a sample average of 35 or more customers if the manager had not offered the discount
The retail price of a television set is $2500. If the buyer pays cash, the price is 10% below the retail price. If the set is bought on hire purchase, the buyer pays a downpayment of $500 and 18 monthly installments of $150.
A) Determine the difference between the hire purchase price and the cash price.
B) Calculate the difference as a percentage of the retail price.
Answer:
cash price:
10% = 250
2500 - 250 = $2,250
hire purchase:
2500 + 500 + 150(18) = $5,700
a) 5,700 - 2,250 = $3,450
Solve by substitution: y=3x and x+y=-32
Answer:
X=-8, y=-24
Step-by-step explanation:
Y=3x
x+y=-32
substitute value of y (3x) from first equation to the second equation
x+3x=-32
4x=-32
x=-8
solve for y by putting value of x (-8) into either equation
y=3x
y=3(-8)
y=-24
0r
x+y=32
-8+y=-32
y=-24
how do you solve 6 1/2 x 16?
Answer:
Step-by-step explanation:
Make 6 1/2 an irrational fraction: 13/2 (I dunno know if its called that )
divide 16 by 2: 8
multiply that by 13: 104
Tell me if this helps or not bc I'm not really sure, but I really hope I helped!
Which trigonometric function is an odd function and why?
Answer:
Last one D.
Step-by-step explanation:
Just remember x, f(–x) = –f(x).
Find: AABCD in square unit.
Answer:
in triangle ACD
<D =<B=90° inscribed angle from the diameter is 90°
base AC=2×OA=2×15=30unit
perpendicular =CD=12unit
area of triangle ACD
=1/2 base×perpendicular=1/2×30×12=180unit²
In triangle ABC
base=AC=30 unit
perpendicular=BC=18unit
area of traingle ABC =
1/2 base×perpendicular=1/2×30×18=270unit²
Area of quadrilateral =area of traingle [ABC+ACD]
=180+270=450 square unit ans..
Sofia asked 50 students at her school whether they prefer music class or art class as an
elective. This table shows the relative frequencies from the survey.
Answer:
1 and 4
or say it as
More seventh graders prefer art class to music class as an elective
There is no association between a student's grade level and the electives they prefer
A number cube labeled one though six is rolled and a letter is selected from the word MUSIC. Find each probability.
P(2 and S)
a. 1/6
b. 1/5
c. 1/30
d. 1/11
HELP
Answer:
1/30
Step-by-step explanation:
A, B, C and D form the vertices of a parallelogram.
AD = 11.1cm, AB = 15.5cm and ZBAD = 71°.
Find the area of the parallelogram. Round to 1 DP.
Answer:
Area = 162.70 square centimetre.
Step-by-step explanation:
From the given question,
AD = 11.1 cm, AB = 15.5 cm and <BAD = 71°
The area of the parallelogram can be determined by;
Area = AD x AB x Sin <BAD
= 11.1 x 15.5 x Sin 71°
= 172.05 x 0.94552
Area = 162.67672
= 162.70 [tex]cm^{2}[/tex]
Therefore, the area of the given parallelogram is 162.70 square centimetre.
Giving Brainlest !!!!! If your bank offered you 3% interest on $5,000 in your savings account , how much money would you have in your account at the end of the year after interest ?
Answer: $5,150
Step-by-step explanation:
5000x0.03=150+5000=5,150
A rectangular prism is shown.
What is the volume, in cubic inches, of this rectangular prisim
Answer:
Step-by-step explanation:
104 cubed , find the value of each side length x width x height
Name 4 points that would form a square with the origin at is center.
9514 1404 393
Answer:
(2, 3), (-3, 2), (-2, -3), (3, -2)
Step-by-step explanation:
You can pick any point you like, then rotate it around the origin to the four quadrants (or axes) by the transformation ...
(x, y) ⇒ (-y, x) . . . . . . . . . 90° rotation CCW
That is a rotation 90° CCW. Of course a rotation CW can do the same thing for you.
__
One possible square is ...
(2, 3), (-3, 2), (-2, -3), (3, -2)
find the area of the triangle by forming a parallelogram
!NO LINKS, NO FILES!
please :)
what is the answer to this?
Answer:
i can only say that you should use this forumla, the sins law
sin(a)/A = sin(b)/B = sin(c)/C
Step-by-step explanation:
Hurry, geometry math 7th grade
You need to find the area of the hexagon, and the area of the triangle.
The formula for the area of a triangle is
[tex]a = \frac{bh}{2} [/tex]
I hope this helps you a little.
Answer:
93.5 units^2
Step-by-step explanation:
a^2+b^2=c^2
a=3
b=?
c=6
b=√6^2-3^2
b=3√3=5.196
5.196×3=15.5884
15.5884×6
Plz help me in math problem Its easy I just want to know how to solve this equation.
The irrational number square root 67 is less than [blank]
Answer:
The square root of 67 is less than the whole number of 9
Step-by-step explanation:
8 squared is 64
9 squared is 81
67 is in between them
Need some help :(
What is the speed of a jet plane that flies 8100 km in 9 hours?
A. 900 km/sec
B. 900 km/hr
C. 900 meters/sec
D. 900 km/hr/hr
I will give Brainliest !!
Answer:
::::::::::::::::
B. 900 km/h
Put some air in your tires: Let X represent the number of tires with low air pressure on a randomly chosen car. The probability distribution of X is as follows.
x 0 1 2 3 4
Px 0.2 0.1 0.4 0.2 0.1
Compute the standard deviation σX. Round the answer to at least three decimal places.
Step-by-step explanation:
sorry po hindi ko po alam sagot
Please please help!!!!!!!!
My teacher asked me 7 x 1/5 of 19, and I got immediately stumped. My brain is mush today.
Answer:
No lol that seems very confusing but was it 26.6?
Answer: 26.6
Step-by-step explanation:
7 times 1/5= 7/5
7/5 times 19= 26.6
I hope ti helps and may God bless you! have a nice day, bye!
A race is 6.75 kilometers long. What is the distance of this race in meters?
Answer:
6750 meters
Step-by-step explanation:
1 kilometer = 1000 meters
1000*6.75=6750
Answer:
6750 meters
Step-by-step explanation:
Kilometers are equal to 1000 meters, so we can just multiply 6.75 x 1000 to get 6750 meters
Marcus has a bag of 10
red chips, 15 blue chips,
and 5 black chips. How
many times would he
expect to pick a red chip if
he did the experiment 60
times?
A) 10
B) 20
C) 30
D) 45
PLEASE HELP THIS IS DUE TODAY
Answer:
B
Step-by-step explanation:
Marcus can expect to have red chip 20 times.
What is probability?Probability denotes the possibility of the outcome of any random event. The meaning of this term is to check the extent to which any event is likely to happen.
Given that, Marcus has a bag of 10 red chips, 15 blue chips, and 5 black chips.
He did an experiment 60 times and we need to find that how many times would he expect to pick a red chip,
So,
Here the favorable outcomes = red chips (10)
Total outcomes = all the chips = 15+5+10 = 20
So, the probability of finding a red chips for the 60 times = 10/20 x 60
= 30
Hence, Marcus can expect to have red chip 20 times.
Learn more about probability, click;
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