Answers
Answer:
128°
Explanation:
total sum of interior angle in triangle is 180°
Find the missing angle inside the triangle:
180° - 38° - 90°
52°
∵ a straight line always has 180°
Now find for missing exterior angle:
x° + 52° = 180°
x° = 180° - 52°
x° = 128°
Answer:
128 degrees
Step-by-step explanation:
180-52= 128
so your answer is 128 degrees.
Related Questions
Sociology graduates, upon entering the workforce, earn a mean salary of
$25,000 with a standard deviation of $5,000. Assume that the distribution of salaries is Normal.
a) What is the probability that a randomly chosen salary exceeds $35,000?
b) What is the probability that a randomly chosen salary is less than $22,500?
c) What is the probability that a randomly chosen salary lies between
$25,000 and $37,500?
d) Find the 15th percentile of the sociology salaries.
e) Find the two salaries that are the cutoff values for the middle 60% of
salaries.
Answers
Using the normal distribution, it is found that:
a) There is a 0.0228 = 2.28% probability that a randomly chosen salary exceeds $35,000.
b) There is a 0.3085 = 30.85% probability that a randomly chosen salary is less than $22,500.
c) There is a 0.4938 = 49.38% probability that a randomly chosen salary lies between $25,000 and $37,500.
d) The 15th percentile of the sociology salaries is of $19,825.
e) The salaries are $20,800 and $29,200.
Normal Probability DistributionIn a normal distribution 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]
It 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, which is the percentile of X.In this problem:
The mean is of [tex]\mu = 25000[/tex].The standard deviation is of [tex]\sigma = 5000[/tex].Item a:
The probability is 1 subtracted by the p-value of Z when X = 35000, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{35000 - 25000}{5000}[/tex]
[tex]Z = 2[/tex]
[tex]Z = 2[/tex] has a p-value of 0.9772.
1 - 0.9772 = 0.0228.
There is a 0.0228 = 2.28% probability that a randomly chosen salary exceeds $35,000.
Item b:
The probability is the p-value of Z when X = 22500, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{22500 - 25000}{5000}[/tex]
[tex]Z = -0.5[/tex]
[tex]Z = -0.5[/tex] has a p-value of 0.3085.
There is a 0.3085 = 30.85% probability that a randomly chosen salary is less than $22,500.
Item c:
This probability is the p-value of Z when X = 37500 subtracted by the p-value of Z when X = 25000, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{37500 - 25000}{5000}[/tex]
[tex]Z = 2.5[/tex]
[tex]Z = 2.5[/tex] has a p-value of 0.9938.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{25000 - 25000}{5000}[/tex]
[tex]Z = 0[/tex]
[tex]Z = 0[/tex] has a p-value of 0.5.
0.9938 - 0.5 = 0.4938
There is a 0.4938 = 49.38% probability that a randomly chosen salary lies between $25,000 and $37,500.
Item d:
This is X when Z has a p-value of 0.15, so X when Z = -1.035.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1.035 = \frac{X - 25000}{5000}[/tex]
[tex]X - 25000 = -1.035(5000)[/tex]
[tex]X = 19825[/tex]
The 15th percentile of the sociology salaries is of $19,825.
Item e:
Due to the symmetry of the normal distribution, it is the 20th percentile and the 80th percentile, that is, X when Z = -0.84 and X when Z = 0.84.
20th percentile:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-0.84 = \frac{X - 25000}{5000}[/tex]
[tex]X - 25000 = -0.84(5000)[/tex]
[tex]X = 20800[/tex]
80th percentile:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.84 = \frac{X - 25000}{5000}[/tex]
[tex]X - 25000 = 0.84(5000)[/tex]
[tex]X = 29200[/tex]
The salaries are $20,800 and $29,200.
More can be learned about the normal distribution at https://brainly.com/question/24663213
Which linear function represents the line given by the point slope equation y - 2 - 4(x - 3)? O RX) - 6x 1 O Rx) = ax - 6 O P(x) = 4x - 14 O x) = 4x -10
Answers
Answer:
Use the given functions to set up and simplify O R X . y − 2 − 4 ( x − 3 ) = − 4 x + y + 10 O R X = − 4 x + y + 10
Step-by-step explanation:
PLEASE HELP FAST ILL GIVE BRAINLIEST How much wrapping paper is needed to wrap a cube shaped gift with an edge measuring 15 cm?
0
O A. 1350 cm squared
B. 225 cm squared
O C. 1125 cm squared
Answers
Answer:
Its letter B.
#Carryonlearning
I will give the BRAINEST
The length of a hypotenuse of a 30° -60° - 90° triangle is 17 yards. What is the length of the
other two sides?
A. 8.5 yds: 8.5 yds
B. 8.5 yds: 8.5/3yds
C. 8.5y3yds: 8.5VZ yds
D. 1773 yds: 8.5 yds
Answers
Step-by-step explanation:
answer is B which is 8•5 yds and 8•5√3 yds
3 cm 7 cm 4 cm 8 cm area
Answers
Answer:
672 square inches
with area, multiply the side(s) by themselves for a single number, or their following numbers for more than 2 numbers.
Example
18in x 18in = 324 square inches4in x 2in x 5in x 9in = 360 square incheshope this helps!
My new laptop was $824.99 plus the 10% tax. What is the total cost of the laptop?
Answers
Answer:
Rounding up to the nearest hundredth, 907.49
Step-by-step explanation:
10% of 824.99 is 82.499 so all you have to do is 824.99 + 82.499 which will get you 907.48900 and rounding to the nearest hundreth will get you 907.49
Step-by-step explanation:
10% of 824.99 = 82.499
then 824.99 +82.499= 907.489
rounded off = 907.49
Please help me to solve this problem
2q+2q-q
Answers
Answer:
[tex]3q[/tex]
Step-by-step explanation:
Hi there,
2q + 2q =4q
From 4q we reduce q which results in :
[tex]3q[/tex]
Mark me as brainliest.
Answer:
3q
Step-by-step explanation:
combine like terms
2q+2q = 4q
4q-q = 3q
Brainliest if correct
Answers
2-6 = -4 so 2x-6x would equal -4x
Answer: -4x
A student taking a midterm exam in Ancient History comes to two questions pertaining to a class that he missed, and so he decides to take a random guess on both questions. One question is a true and false question and the other is a multiple choice question with five possible answers. Describe how to calculate the probability to the true/false question.
Answers
There's only two outcomes (true or false) and one correct answer.
Therefore, the probability is 1/2 = 0.50 = 50%
Or you could say the odds are 50 50, ie there's a 50% chance of getting it right vs a 50% chance of getting it wrong.
What is the slope of line A?
A. -4
B. 4
C. -1/4
D. 1/4
Answers
Answer:
the answer is d have a great day
Answer:
-1/4
Step-by-step explanation:
Slope formula using two points: y2-y1/x2-x1.
0-1/4-0
-1/4
Brian drank 2 glasses of water and a half glass of orange juice. What percentage of
beverage consumption was from the orange juice?
Answers
15 is your percentage to the answer
maybe a little more point will make you help me
i put 100 but you may not get that much
am i correct
also, i would give you but that is all it will let me give
Answers
Answer:
SA = 76 yd²
Step-by-step explanation:
Use the formula given:
SA = 2(4)(2) + 2(4)(5) + 2(2)(5)SA = 16 + 40 + 20SA = 76The units are yards²
SA = 76yd²
-Chetan K
The surface area of the rectangular prism is 76 square yards
The dimensions of the rectangular prism are given as:
Length (l) = 4 yards
Width (w) = 2 yards
Height (h) = 5 yards
The surface area (SA) is calculated as:
SA =2lw + 2lh + 2wh
So, we have:
SA = 2 * 4 * 2 + 2 * 4 * 5 + 2 * 2 * 5
Evaluate the expression
SA = 76
Hence, the surface area of the rectangular prism is 76 square yards
Read more about surface area at:
https://brainly.com/question/6613758
Jack's pancake recipe calls for 2 teaspoons baking powder and 3 cups of flour.
How much baking powder is needed if Jack uses 9 cups of flour?
Answers
Answer:
6 teaspoons of baking powder
can someone please help!!! Urgent!!
Answers
explanation: this is what i’m doing in math right now and i’m pretty sure it’s correct
W/2+14=20 whats the W in this problem
w = ???
no links
Answers
Hi! Hope you are having a great day!
[tex]\displaystyle\frac{w}{2} +14=20[/tex]Step number 1: Move 14 to the right:
[tex]\displaystyle\frac{w}{2} =20-14[/tex]
[tex]\displaystyle\frac{w}{2} =6[/tex]
Now, multiply both sides by 2:
[tex]\fbox{w=12}[/tex] (Answer)
Hope it helps!
[tex]\rm{Stargazing{\tt{WithJoy:D}[/tex]
Answer:
W = 12Step-by-step explanation:
[tex]\sf\:\frac{W}{2} + 14 = 20\\\sf\:\frac{W}{2} + \frac{14 * 2}{1 * 2} = 20\\\sf\:\frac{W}{2} + \frac{28}{2} = 20\\\sf\:\frac{W + 28}{2} = 20\\\sf\:W + 28 = 20*2\\\sf\:W + 28 = 40\\\sf\:W = 40 - 28\\\boxed{\bf\:W = 12}[/tex]
Steps:
Find the LCM so that the denominator of W/2 & 14 is the same (LCM = 2)Now, add the 2 numbers in the LHS.Bring 2 to the RHS & multiply it with 20.Bring 28 to the RHS.By completing these steos, we'll get the value of W as 12.____________
Hope it helps!
[tex]\mathfrak{Lucazz}[/tex]
In a card game, Joseph has 2 more than 4 times as many cards as Zachary has. Zachary has z cards. Which expression can be used to find the number of cards Joseph has?
Answers
Answer:
Joseph's cards = 4z + 2
Step-by-step explanation:
4 times as many = 4 times z or 4z
2 more= 4z + 2
Answer:
2x4=6 6x2= 12
Step-by-step explanation:
What is 152 divided by 5
Answers
Answer:
30.4
Step-by-step explanation:
125/5 = 30.4
hope i could help
=30.4
Step-by-step explanation:
152/5
=30.4
Hope that helped
PSG has given vertices:
P - (2, 3)
S - (1, 1)
G - (4, -3)
Reflect the image across the x-axis then reflect the image across the y-axis.
Final location of the image:
Answers
Answer:
is p because if you miltiply it
In circle C, mDE = 84°. Find each measure.
1. measure of angle EFD
Answers
Reason:
Use the inscribed angle theorem. Central angle DCE subtends the arc DE, so angle DCE = 84 degrees. Inscribed angle EFD is also subtending this same arc (DE), meaning we cut the arc/central angle measure in half to get 84/2 = 42.
I find the value of X and the measurement of DAB
Answers
Answer: What is the measure of ∠ DAB?
And we get that the measure of angle is 32 degrees.
Step-by-step explanation:
A certain animal's skeleton consists of 162 bones. The face has 13 bones. What percent of the animal's bones are found in the face?
Answers
Answer:
I got .08 when solving this, I may have made a mistake and if so I am truly sorry!
Can somebody help me pls 3/10 +16/100 = 19/100 ??? Is it correct
Answers
Answer:
yes it is correct 3/10+16/100=19/100
The quotient of a number y and 2.
A. 2/y
B. 2(y)
C. 2 + y
D. y/2
Answers
Answer:
The answer to your problem is B.
HELP ME PLEASEE!!
In the figure, AB is a perpendicular bisector of CD. Find the value of x.
Answers
Answer:
X = 5
Step-by-step explanation:
2x + 3 = 5x - 12
3 + 12 = 5x - 2x
15 = 3x
x = 15/3
x = 5
what is 224 split into a 5 over 2 ratio
Answers
Answer:
160:64
Step-by-step explanation:
224/7 we divide by 7 because 5 and 2 equals 7
224/7=32
32*5 and 32*2
160 and 64
160:64
Anyone got the correct answer to this? Kinda stuck right now
Answers
Answer:
1/4
Step-by-step explanation:
i think
Find area of the figure
Answers
The area of the figure is the length of one side times the length of one side.
Area is 2 yards * 5/4 yards = 5/2 square yards
Hope that helps!
he number of eggs in the refrigerator e decreased by 7 equals 19.
Answers
PLS HELP ME, PLS THIS IS DUE FIRST CORRECT ANSWER GETS BRAINLIEST
Answers
Answer:
B
Step-by-step explanation:
5÷7 = 0.7142857142857
Find the common ratio (r) of a geometric progression with first term as -4 and
second term as 6.
Answers
Answer:
-2.25
Step-by-step explanation:
