Answer:
x = 29
angles are 90 degrees, 56 degrees, and 34 degrees
Step-by-step explanation:
90 + (2X-2) + (X+5) = 180
3X + 93 = 180
3X = 87
X = 29
A right rectangular prism has a length of 8 centimeters, a width of 3 centimeters, and a height of 4 centimeters.
What is the surface area of the prism?
____cm2
a) 96
b) 104
c) 136
Answer:
I believe the answer is C. 136 cm2
1 litre is equal to how many decalitre
Which of the following equations have no solutions? Select all that apply:
A) 14r + 23 = 14r -23
B) -23r - 14 = 14r -23
C) 14r - 23 = 14r -23
D) -14r + 23 = 14r - 23
You have a bag of 10 marbles. Three of them are red, five are blue, and two are green. What is the probability of NOT picking a green marble out of the bag randomly?
Answer:
hey there
The answer is 7/10
this is true because we have two green marbles and five blue
2+5=7
Step-by-step explanation:
Answer:
20% or 2/10
Step-by-step explanation:
10 marbles in total. We want to find the probability of not picking a green marble. 10marbles-3red-5blue=2marbles left.
So the probability of picking a green marble is 2/10 or 20%
Suppose that, on the average, 1/3 of the graduating seniors at a certain college have two parents attend the graduation ceremony, another third of these seniors have one parent attend the ceremony, and the remaining third of these seniors have no parents attend. If there are 600 graduating seniors in a particular class, what is the probability that not more than 650 parents will attend the graduation ceremony
Answer:
0.9803 = 98.03% probability that not more than 650 parents will attend the graduation ceremony.
Step-by-step explanation:
To solve this question, we need to know the Poisson and the normal distribution.
Poisson distribution:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
In which
x is the number of sucesses
e = 2.71828 is the Euler number
[tex]\mu[/tex] is the mean in the given interval. The standard deviation is the square root of the mean.
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.
The Poisson distribution can be approximated to the normal with same means, and [tex]\sigma = \sqrt{\mu}[/tex]
1/3 of the graduating seniors at a certain college have two parents attend the graduation ceremony, another third of these seniors have one parent attend the ceremony, and the remaining third of these seniors have no parents attend.
There are 600 graduating seniors. This means that the expected number of parents attending the ceremony is given by:
[tex]\mu = 600*(2*\frac{1}{3} + 1*\frac{1}{3} + 0*\frac{1}{3}) = 600(\frac{2}{3} + \frac{1}{3}) = 600(1) = 600[/tex]
And
[tex]\sigma = \sqrt{600}[/tex]
What is the probability that not more than 650 parents will attend the graduation ceremony?
Using continuity correction, as Poisson is a discrete distribution while the normal is continuous, this is [tex]P(X \leq 650 + 0.5) = P(X \leq 650.5)[/tex], which is the pvalue of Z when [tex]X = 650.5[/tex]. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{650.5 - 600}{\sqrt{600}}[/tex]
[tex]Z = 2.06[/tex]
[tex]Z = 2.06[/tex] has a pvalue of 0.9803.
0.9803 = 98.03% probability that not more than 650 parents will attend the graduation ceremony.
13. What is the measure of angle J in the triangle below? Drawing is not to scale. (1 point)
О 99
042°
09°
0 48°
Answer:Other person is correct. here are the summarized answer for my unit test right triangles and trigonometry unit test
1. side lengths 24, 32, and 40
right
2. a is right angle m b = 45
14\/2
3.quilt squares hypotenuse 18
9\/2
4.what are the values of the variables in the triangle below y, x, 30 degrees, 12\/3
x=18 y=6\/3
5.cos_=9/5
63.26
6. victor drives 300 meters up hill
292.3
7. the students in Mr. Collins class 59 degrees 63 feet
105 feet
8. an airplane pilot 5172 meters
912
9. to find the height of a pole 140 feet away 4 feet tall 44 degrees
139 feet
10. art piece 21in
191.0
11. a grid shows the positions of a subway (-7,-1) (-3,4)
6
12. triangle def m d 44 m d 61 ef 20 in
27.8
13.measure of j 16 103 degrees 11
42
14. triangle fgh fh 8 fg 13 m f 72 degrees
35.9
15. in triangle xyz xy 13 yz 20 xz 25
31
Won't do written part.
Step-by-step explanation:
What is the answer to this equation 3 1/10 -2/3
Answer:
The answer is 73/30
Step-by-step explanation:
Answer:
73/30 or2.43
Step-by-step explanation:
a) Expand and simplify.
3(x - 2) - 4(x - 5)
7
Answer:
x=7
Step-by-step explanation:
3(x - 2) - 4(x - 5)=7
3x+−6+−4x+20=7
(3x+−4x)+(−6+20)=7(Combine Like Terms)
−x+14=7
−x+14=7
Step 2: Subtract 14 from both sides.
−x+14−14=7−14
−x=−7
Step 3: Divide both sides by -1.
−x
−1
=
−7
−1
Hi guys, how to calculate this in system?
{2a+3b=14
{5b+4a=20
Thanks,
Step-by-step explanation:
there it is
and if u need more help tell me
Which polynomial represents the sum below? (4x5 + 6x3 + 3) + (3x3 + x + 9)
Answer:
i think
4x^5+9x^3+x+12
Step-by-step explanation:
24) Identify the binomials
a) 100
c) al-a+ba
b) x+y-xy
d) z2+z
Answer:
b
Step-by-step explanation:
Your well wisher
Hope it will be helpful
Peggy is p years old. Maggie is 1 year less than 1/4 of Peggy's age. What is Maggie's age in terms of p?
Answer:
1/2m+100
Step-by-step explanation:
One way to recognize a line of symmetry is to look for a line that divides the
original image into:
A. Two congruent parts
B. Three congruent parts
C. Two perpendicular parts
D. Two intersecting parts
2y^3-18y^2+9y-81
Factor the polynomial completely
Answer:
(y-9)(2y^2 +9)
Who knows this answer
please help meeeeeeee
if m<1 equals 35 what’s is m<3
Answer: 159
Step-by-step explanation: 53x3
Answer:
Step-by-step explanation:
m < 1 = 53°
then
m< 3 = m<1 + 90° ( exterior angle of a triangle is equal to the sum of two opposite interior angles )
m<3 = 53° + 90°
= 143°
hope it will help :)
A large operator of timeshare complexes requires anyone interested in making a purchase to first visit the site of interest. Historical data indicates that 20% of all potential purchasers select a day visit, 50% choose a one-night visit, and 30% opt for a two-night visit. In addition, 30% of day visitors ultimately make a purchase, 10% of one-night visitors buy a unit, and 50% of those visiting for two nights decide to buy. Suppose a visitor is randomly selected and is found to have made a purchase. How likely is it that this person made a day visit
Answer:
0.2308 = 23.08% probability that this person made a day visit
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Visitor made a purchase
Event B: Made a day visit
Probability that a visitor made a purchase:
30% of 20%(day visitors)
10% of 50%(one-night)
50% of 30%(two-night)
So
[tex]P(A) = 0.3*0.2 + 0.1*0.5 + 0.5*0.3 = 0.26[/tex]
Probability of a purchase with a day visit:
30% of 20%. So
[tex]P(A \cap B) = 0.3*0.2 = 0.06[/tex]
How likely is it that this person made a day visit?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.06}{0.26} = 0.2308[/tex]
0.2308 = 23.08% probability that this person made a day visit
PLZ HELP!! WILL MAKE BRAINLIEST!!!
Answer:
formula is 6a²= surface area
but since one side is not being painted it is
5a²= surface area
5(3.2)²
=51.2cm
A football team had 32 players last year. This year, the team increased by 25%. How many players are on the team this year
Answer:
40 players
Step-by-step explanation:
Well if it's a 25% increase and 32=100% then 25%=8 players because 32/4=8 then add it to 32 to get 40 players
Answer:
40 players
Step-by-step explanation:
32x0.25=8
32+8=40
A circle garden has a diameter of 12 yards what is the area of the garden use 3.14 for pie
Answer:
37.7 ft
Step-by-step explanation:
sketch each graph of each line y=-7/3x+4
Answer:
Step-by-step explanation:
What is the next term in the following sequence?
54, -18, 6, ...
-2
3
2
-3
A company offers broadband for a one-off charge of £60 for every 3 months, then £28 per month after that. How much will 12 months' broadband cost?
Step-by-step explanation:
12 months with $60 every 3 months is $240
then add $28 "per month after that"
can you help me please
Answer:
[tex]log_372 = 3.8928[/tex]
Step-by-step explanation:
Given
[tex]log_38 = 1.8928[/tex]
Required
Evaluate [tex]log_372[/tex]
We have:
[tex]log_372 = log_3(8 *9)[/tex]
Apply law of logarithm
[tex]log_372 = log_38 +log_39[/tex]
Express 9 as 3^2
[tex]log_372 = log_38 +log_33^2[/tex]
Evaluate the exponents
[tex]log_372 = log_38 +2log_33[/tex]
[tex]log_33 = 1[/tex].
So:
[tex]log_372 = log_38 + 2 * 1[/tex]
[tex]log_372 = log_38 + 2[/tex]
Substitute [tex]log_38 = 1.8928[/tex]
[tex]log_372 = 1.8928 + 2[/tex]
[tex]log_372 = 3.8928[/tex]
finds the value of x and Y.
2x+3y=5
X-2y=-1
Answer:
x=1
y=1
Step-by-step explanation:
2x+3y=5.........eq1
x-2y=-1........eq2
therefore: x=-1+2y
Subt. eq 3 into eq2
2x+3y=5
2(-1+2y) +3y=5
-2+4y+3y=5
7y=5+2
7y/7=7/7
y=1
therefore: Subt. y=1 into eq2
x-2y=-1
x-2(1)=-1
x-2=-1
x=-1+2
x=1
2. Solve: 10 - 5m = 25
7
3
о
-3
Please help
Answer:
-3
Step-by-step explanation:
subtract 10 to the 25 so that cancels out the 10, you are left with -5m=15, then you divide the -5m by -5 to cancel it out on both sides. that leaves you with m by itself and once you do the division of 15 by -5 the result is -3
Question
what's 10÷0=_
Answer please
Answer:
Undefined
Step-by-step explanation:
Answer:
you cant divide by 0
Step-by-step explanation:
no solution
Hi, which one is the correct answer? thank you
Answer:
Step-by-step explanation:
tan B=372/279=(31×12)/(31×9)=12/9=4/3
Find the area of the shaded polygons. PLEASE WILL GIVE BRANLIEST
Answer:
Green: 8 units
Red: 8.75 units
Step-by-step explanation:
Detail attached.