9514 1404 393
Answer:
20°, 120°, 40°
Step-by-step explanation:
Let s represent the smallest angle. Then the largest is (100+s) and the third angle is (2s). The sum of angles in a triangle is 180 degrees, so we have ...
s + (100+s) +(2s) = 180
4s = 80 . . . . . . . . . . subtract 100
s = 20 . . . the smallest angle
100+s = 120 . . . the largest angle
2s = 40 . . . the third angle
The angle measures are 20°, 120°, and 40°.
12.) The FAA has to periodically revise their rules regarding weight estimates that vary by
season. Airlines currently use an estimate for the weight of an adult male passenger of 190 lbs.
in the summer that assumes
he carries sixteen pounds of baggage and has five pounds of
clothing. According to your textbook, assume that men (not clothed nor carrying baggage) have
weights that are normally distributed with a mean of 188.6 lbs. and a standard deviation of 38.9
lbs.
a.) If one adult male is randomly selected and is assumed to be also carrying 21 lbs. due to
clothing and baggage, find the probability that the total weight is greater than 190 lbs.
b.) What total weight would separate the lower 20% of men carrying 21 lbs. of clothing and
baggage from the top 80%?
Answer:
a) 0.4856 = 48.56% probability that the total weight is greater than 190 lbs.
b) A total weight of 155.9 lbs.
Step-by-step explanation:
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.
Mean of 188.6 lbs. and a standard deviation of 38.9 lbs.
This means that [tex]\mu = 188.6, \sigma = 38.9[/etx]
21 lbs of baggage are taken into consideration in this estimate.
a.) If one adult male is randomly selected and is assumed to be also carrying 21 lbs. due to clothing and baggage, find the probability that the total weight is greater than 190 lbs.
This is 1 subtracted by the the p-value of Z = 190. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{190 - 188.6}{38.9}[/tex]
[tex]Z = 0.036[/tex]
[tex]Z = 0.036[/tex] has a p-value of 0.5144.
1 - 0.5144 = 0.4856.
0.4856 = 48.56% probability that the total weight is greater than 190 lbs.
b.) What total weight would separate the lower 20% of men carrying 21 lbs. of clothing and baggage from the top 80%?
This is the 20th percentile, which is X when Z has a p-value of 0.2, so X when Z = -0.84.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-0.84 = \frac{X - 188.6}{38.9}[/tex]
[tex]X - 188.6 = -0.84*38.9[/tex]
[tex]X = 155.9[/tex]
A total weight of 155.9 lbs.
Calculate half yearly payment required for each five year intervals
Answer:
bro im not going to download that pdf
Step-by-step explanation:
Can you solve this equation???
Answer:
-6
Step-by-step explanation:
Move the variable to the left hand side and change its sign.
5 - 2x + 4x = -7
Collect like terms.
- 2x + 4x = - 7 - 5
2x = - 7 - 5
Calculate the difference.
2x = -12
Divide both sides.
x = -6
How many inches are there in 3 yards?
A. 108 in.
B. 96 in.
C. 72 in.
D. 48 in.
Answer:
108
Step-by-step explanation:
3 yards equal 9 feet and 1 foot equals 12 inches so that means do 12 x 9 and you get 108
The correct option is A.
How to convert feet to yards?Feet ÷ 3 = 1 yards. yard is 3 feet long, so all you have to do is divide the number of feet by 3 to get the number of yards for your measurement
We know that,
1 feet is equal to 12 inches.
1 feet = 12 inches.
1 yard = 36 inches.
3 yards = 36 × 3 = 108 inches.
3 yards = 108 inches.
Therefore, 108 inches are there in 3 yards.
Learn more about yard and inches here:
https://brainly.com/question/31327558
#SPJ6
What is the greatest prime you must consider to test whether 4295 is prime?
Answer:
5
Step-by-step explanation:
4295/5 = 859
4295 is divisible by the prime number 5
no need to test any higher priime
is y=2x an inverse variation
Answer:
ha ha ha... yesno
Step-by-step wrong explanation:
becoause it is the dilemma of the miniyamma
i need help with this one plz! (marking BRAINLIST) :)
Answer: (a) = 110 degrees, (b) = 8
If I understand the picture correctly, (a) wants you to find the angle K. It first shows us that both J to K, and L to K are equal in length of 11, thus there is no deviation in angle 35 degrees with L (so they both equal each other). Therefore, the angle K will equal 180 degrees subtracted by the sum of J and L, which is 110 degrees.
For (b), it appears that all the angles have the same singular mark at the edges, so all sides will equal 8.
I hope this helped!
Find the surface area of the regular pyramid
Answer:
surface are of the pyramid =(1/2×6×5.2)+(3×1/2×6×10) =15.6+90 =105.6 yd²What is the relation between the variables in the equation
X^4/y=7?
a. x varies inversely as y
b. x4 varies directly as y
c. y varies directly as x4
d. y varies inversely as x4
Answer:
b. x^4 varies directly as y.
Step-by-step explanation:
x^4 = 7×y
x^4 is proportional to y.
Please help it's for my test.
The area of a parallelogram is 108 square inches. What is the length of the parallelogram if the height is 6 inches?
Answer:
18 inches
Step-by-step explanation:
just FYI this is using base and height this is not trigonometry or diagonals but whenever you want to find the area of a parallelogram you have the base times the height and so you have the formula A= B * H but here you want to find the base so we divide the area by the height since those are your givens
A/H=B
108/6=18
X2-8x+15=(ax+b)(cx+d)
Answer:
(x-5) (x-3)
Step-by-step explanation:
x^2-8x+15
What two numbers multiply to 15 and add to -8
-5*-3 = 15
-5+-3 = -8
(x-5) (x-3)
Answer:
Step-by-step explanation:
-5
Jonah runs 3/6 mile on sunday and 7/10 mile on monday. he uses the model to find that he ran a total of 1 mile. What mistake does Jonah make?
Jonah should shade 6 parts of 10 equal parts to show 3/5.
Hope this helps! :)
The function f(x) = x² +9 and the other function P is given by P(x) = f(x) - 34 ÷x + 5 find P (5 )
Answer:
32.2
Step-by-step explanation:
Given :
f(x) = x² +9
P(x) = f(x) - 34 ÷ x + 5
P(5) =?
Substitute 5 for X on P(x)
P(5) = f(5) - 34 ÷ x + 5
f(5) = 5² + 9 = 25 + 9 = 34
P(5) = 34 - 34 ÷ 5 + 5
According to PEMDAS
-34 ÷ 5 = - 6.8
P(5) = 34 - 6.8 + 5
P(5) = 34 - 1.8
P(5) = 32.2
What is the value of 21 - 4 × ❒ = 5 ? in the equation below? (Show your work)
Answer:
4
Step-by-step explanation:
21 - 4 × ❒ = 5
-4x = 5 - 21
-4x = 16 (divide both sides)
x = 4
Question 22
Find the volume.
Answer:
D
Step-by-step explanation:
area times height dived by 3
note that the radius is 8
Answer:
D. [tex]\frac{512}{3}\pi[/tex] ≈ 535.9 m³
Step-by-step explanation:
Formula = πr²* h/3
Volume = π * 64 * 8/3
Volume = π * 512/3 = 535.89 ≈ 535.9
Answer = D. [tex]\frac{512}{3}\pi[/tex] ≈ 535.9m³
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
I just need to know what is m=
Answer:
- 2
Step-by-step explanation:
Given :
Point A = (-1, 4)
Point B = (1, 0)
x2 = - 1 ; y2 = 4 ; x1 = 1 ; y1 = 0
Rise = (y2 - y1) = 4 - 0 = 4
Run = (x2 - x1). = - 1 - 1 = - 2
Slope = Rise / Run = 4 / - 2 = - 2
The slope, m = - 2
what are the y and x intercepts?
Answer:
(18/5, 0) is the x intercept
(0,-2) is the y intercept
Step-by-step explanation:
-5x+9y = -18
Set y = 0 and solve for x to find the x intercept
-5x +0 = -18
Divide each side by -5
x = -18/-5
x = 18/5
(18/5, 0) is the x intercept
Set x = 0 and solve for y to find the y intercept
0 +9y = -18
Divide each side by 9
y = -18/9
y = -2
(0,-2) is the y intercept
Answer:
x- intercept is 18/5
y- intercept is -2
Step-by-step explanation:
See image below:)
1)Light travels at the speed of 3,00,000 km in one second ,if it has
already travelled 1,05,342 km, how much more distance is left for the
ray of light to travel?
Answer:
1,94,658km
Step-by-step explanation:
If you are talking about how much distance it has to travel in 1 second then you can simply subtract 1,05,342 from 3,00,000. This process gives total of 1,94,658km remaining for it to travel.
Goodluck
Abby sells beauty products. She has a monthly salary of $1000. She also earns 1%
commission on the first $8000 of her sales for the month and 4% commission on
sales over $8000. What is Abby's gross income for the month if her sales were $12
500
Answer: $1260
Step-by-step explanation:
Based on the information given, Abby's gross income for the month if her sales were $12500 will be:
= $1000 + (1% × $8000) + [4% × ($12500 - $8000)]
= $1000 + (0.01 × $8000) + (0.04 × $4500)
= $1000 + $80 + $180
= $1260
Her gross income is $1260
Answer for brainlest zzzz
Answer:
A = 42 cm²
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
Here b = 14 and h = 6 , then
A = [tex]\frac{1}{2}[/tex] × 14 × 6 = 7 × 6 = 42 cm²
in a rectangle how many opposite sides are equal
Answer and Step-by-step explanation:
This is for your other question in case you don't see it.
1. 2 pairs (aka 4 sides) of Opposite Sides are equal
2. AB and DC are parallel, and AD and BC are parallel
3. Angles BDC and ACD are equal, angles DAC and DBC are equal, the angles ADB and BCD are equal, angles CAB and DBA are equal
4. 4 right angles
5. AB and DC are equal, and AD and BC are equal
6. 4 Triangles
7. False
8. Diagonals of a rectangle.
#teamtrees #PAW (Plant And Water)
Find the answer to b and check if a is correct and explain plsss
Answer:
a. 105.84 cm²
b. 136 cm²
Step-by-step explanation:
a. The prism is a cube
Surface area of the cube = 6a²
a = 4.2 cm
Plug in the value
Surface area = 6*4.2²
Surface area = 105.84 cm²
b. The prism is a triangular prism
Surface area of triangular prism = bh + L(s1 + s2 + s3)
b = 6 ft
h = 4 ft
L = 7 ft
s1 = 5 ft
s2 = 5 ft
s3 = 6 ft
Surface area = 6*4 + 7(5 + 5 + 6)
Surface area = 24 +7(16)
Surface area = 24 + 112
Surface area = 136 cm²
If x-12y=-210and x-6y=90 then x =
Answer:
90
Step-by-step explanation:
x
−
12
y
=
−
210
=
=
−
210
x
−
6
y
=
90
=
=
90
x
=
=
90
The party planning committee has to determine the number of tables needed for an upcoming event. If a square table can fit 8 people and a round table can fit 6 people, the equation 150 = 8x + 6y represents the number of each type of table needed for 150 people.
The variable x represents the number of
Answer:
Square tables used
Step-by-step explanation:
x represents the number of square tables used since it is being multiplied times 8 which is the number of people a square table can fit
Answer:
answer in pictures
Step-by-step explanation:
Help please!!! I don’t understand this question
Answer:
B) ASA - angle side angle
Hope it help
A pizza is cut into 3 slices. The first piece was 2over 9 and the second one was 2 over 7. How big or small was the last piece
Answer:
2/5
Step-by-step explanation:
ok
the graph of y= -2x + 11 is:
Answer:
D. a line that shows only one solution to the equation
Step-by-step explanation:
I hope this helps uwu.
A.)55
B.)38
C.)70
D.)20
Answer:
D) 20
Step-by-step explanation:
4x - 10 and x together equal 90
Set your formula up as
90 = 4x - 10 + x
90 + 10 = 4x + x
100 = 5x
100 / 5 = x
20 = x
HELP PLS!!
A circle has been divided into 4 equal angles. is each angle acute, obtuse or right?
Answer:
Right
Step-by-step explanation:
360/4 = 90
90° is a right angle
Mariana baked 14 cakes. She gave 1/7 of them to her family before she took the rest to a party. How many cakes did Mariana give to her family?
Answer:
2
Step-by-step explanation:
14·[tex]\frac{1}{7}[/tex]=2
Answer:
2
Step-by-step explanation: 1/7th's of 14 is 2.
1/7 x 14 = 2.
