Answer:
One is 85° & another one is 95°
Step-by-step explanation:
Let x be the smaller angel
So the equation is
x+x+10=180
2x= 170
x= 85
So, the smaller one is 85° & bigger one is 85+10= 95°
Scores on a test are normally distributed with a mean of 200 and a standard deviation of 12. Find each probability
Complete question is;
Scores on a test are normally distributed with a mean of 200 and a standard deviation of 12. Find the probability that a randomly selected student scored less than 218.
Answer:
0.93
Step-by-step explanation:
We are given;
Mean; μ = 200
Standard deviation; σ = 12
Random value; x¯ = 218
Z-score formula is;
z = (x¯ - μ)/σ
z = (218 - 200)/12
z = 18/12
z = 1.5
From z-table, attached, probability = 0.93
In a quiz contest, Mary answers 90% of the questions correctly without any additional clues from the quiz coordinator. The randomly generated numbers below simulate this situation.
The numbers 0 to 8 represent questions answered correctly without additional clues, and the number 9 represents questions that needed additional clues.
44 51 99 66 23
68 72 20 20 59
50 89 39 36 20
90 13 51 47 92
49 20 89 10 13
52 82 52 52 99
28 10 33 35 73
40 44 30 95 22
99 10 55 10 35
36 78 92 37 96
The estimated probability that it would take at least three questions for Mary to need additional clues is (_____)
The estimated probability that Mary needed additional clues to answer two consecutive questions is (_____)
To solve this problem, we should note that there are:
total questions = 100
questions answered correctly = 90
questions that needed additional clues = 10
1. The first question is to find the probability that in the third question, Mary would need additional clue. Therefore this implies that in the first and second questions, Mary would answer it correctly. Therefore:
Probability = (question 1 answered correctly) * (question 2 answered correctly) * (question 3 needed clue)
Probability = (90/100)*(89/99)*(10/98)
Probability = 0.08256 = 8.26%
2. The second question finds for the probability that two consecutive needs additional clue, therefore:
Probability = (question 1 needed clue) * (question 2 needed clue)
Probability = (10/100)*(9/99)
Probability = 9.1*10^-3 = 0.91%
Answer:
1. The estimated probability that it would take at least three questions for Mary to need additional clues is 0.24
2. The estimated probability that Mary needed additional clues to answer two consecutive questions is 0.06
Step-by-step explanation:
I just took the test! I hope this helps you! <3
Help Me Please
The interior angles formed by the sides of a quadrilateral have measures that sum to 360°.
What is the value of x?
Answer:
x = 59
Step-by-step explanation:
combine all four angle measure expressions and set equal to 360°, then solve
x + x + 2x + 3 + 2x + 3 = 360
6x + 6 = 360
6x = 354
x = 59
Can someone help me please?
Answer:
This is the graph of the question
Step-by-step explanation:
Which speeds are equal to 1/2 mile per hour? Mark all that apply.
5/6 mile/5/12 hour
1/4 mile / 1/2 hour
1/10 hour / 1/5 mile
3/8 mile / 3/4 hour
2/3 hour / 1/3 mile
4/5 mile / 4/10 hour
/
answer :
3/8 mile / 3/4 hour
an expression that is equivalent to 60x+28y.
Answer:
Step-by-step explanation:
The trick here is to identify the greatest common factor of 60 and 28. 4 is such a factor. We can therefore rewrite 60x + 28y as
4(15x + 7)
There are other possible answers.
600x + 280y
------------------- is an example.
100
The store has 6 blue notebooks, 11 red notebooks, 7 purple notebooks, 5 black notebooks, and 3 green notebooks. What is the probability that Melissa will buy a purple notebook?
7/25
7/32
3/16
11/32
Answer: 7/32
Step-by-step explanation:
Answer:
7/32
Step-by-step explanation:
i did the test and got it right
Help Asap please lol
Answer:
.
Step-by-step explanation:
HELP ME NOW PLS WBAHS
Answer:
8
Step-by-step explanation:
you would add 1+3+4
Answer: The answer is 12
Step-by-step explanation: 4 x 3 x 1 just multiply all the number together
Please helpp ASAP
100 points extra and brainleist
Step-by-step explanation:
C and D are the correct objectives
PLEASE HELP
consider the function f(x)=3x+10
Drag each label to the correct location on the tree diagram. Each label can be used more than once, but not all labels will be used.
Brandon is making party decorations by selecting one of two kinds of balloons—heart-shaped balloons or oval-shaped balloons. He puts them in one of three baskets—red, pink, or white. The sample space for the event of selecting a balloon and putting it in one of the baskets is represented in the tree diagram. Complete the sample space.
oval
red
white
pink
Answer:
He is 100% right
Step-by-step explanation:
Nathan started out on a road trip with his friend Ryan. Nathan picked Ryan up at his house and they started out. Nathan kept track of the distance he was from his house, d, after h hours of driving in the chart below.
Hours
2
4
6
10
Distance
114
224
334
554
How fast were the boys traveling? Be sure to give the correct units. "Show your work."
Answer:
57 mph
Step-by-step explanation:
Half of 114=57.
Here is a list of numbers.
2
5 8 13
15
30
From the list, write down a factor of 10
Subtract one-third from 8 times b
i think the answer is 1/3 from 8x 6 =-46.7 i think
Help pls I’ll give brainleist.
Answer:
Step-by-step explanation:
C and E look good Dani
hi,can someone help me with this
question is above,just tap to the picture
Thanks
Have a nice day
Change from Standard Form into
Slope-Intercept Form
6.
2x - 3y = 12
Help please
Answer:
y = 2/3x - 4
Step-by-step explanation:
2x - 3y = 12
-3y = -2x + 12
y = 2/3x - 4
A farmer plants the same amount every day, adding up to 134 acres at the end of the year. If the year is 12 over, how many acres has the farmer planted?
fAnswer:
1608 acres
Step-by-step explanation:
total acres planted in 12 years = acres planted per year x number of years
134 x 12 = 1608
Answer:
5/6
Step-by-step explanation:
1 2/3 x 1/2 = 5/6
What is the vertex for y= 4 (x-2)^2 +3
What is the horizontal asymptote of the function f (x)= x^2-25/2x^2 ?
A triangle has an area of 230.86 square inches. The height of the triangle is 23.8 inches. What is the length of the base of the triangle?
I'll give brainlist!! Pls help
Answer:
Length of the base of the triangle = 19.37 inch (Approx.)
Step-by-step explanation:
Given:
Area of given triangle = 230.56 square inches
Height of the triangle = 23.8 inches
Find:
Length of the base of the triangle
Computation:
Area of triangle = (1/2)(b)(h)
Area of given triangle = (1/2)(Length of the base of the triangle)(Height of the triangle)
230.56 = (1/2)(Length of the base of the triangle)(23.8)
461.12 = (Length of the base of the triangle)(23.8)
(Length of the base of the triangle)(23.8) = 461.12
Length of the base of the triangle = 19.37 inch (Approx.)
Simplify 3/8 squared
Answer:
9/64
Step-by-step explanation:
3 x 3 is 9 and 8 x 8 is 64 and this fraction cannot be simplified
What is the equation of the line that passes through the point (5, -2) and has a
slope of -2/5
Answer:
y=-2/5x
Step-by-step explanation:
y-y1=m(x-x1)
y-(-2)=-2/5(x-5)
y+2=-2/5(x-5)
y=-2/5x+10/5-2
y=-2/5x+2-2
y=-2/5x
If the mass of a 25 meter long wire is 5 kg then find its mass per
meter.
Answer:
0.2 kg per meter
Step-by-step explanation:
5÷25=0.2
Find x. Round to the nearest tenth and only type the number for your
answer.
25
X
16
22
Answer:
10.7
Step-by-step explanation:
To find x we have to basically do pythagoream theorem twice. Both the traingles share the same long side. The find the long side of the top traingle do, [tex]a^{2} +16^{2} =25^{2}[/tex], and we find the long side to be [tex]\sqrt{369}[/tex]. Using this we now plug it into the pythagoream theorem for the bottom triangle. [tex]\sqrt{369} ^{2} +x^{2} =22^{2}[/tex], and doing this out we find that x=[tex]\sqrt{115}[/tex] or about 10.7.
USING YOUR MATH
5. A circular swimming pool has a diameter of 22 feet. A cover that just fits over the top of the
pool would have an area that is closest to which of the following?
(1) 69 sq.ft
(3) 732 sq.ft
(2) 380 sq.ft
(4) 1,521 sq.ft
Answer:
[tex]area = \pi {r}^{2} \\ = \frac{22}{7} ( { \frac{22}{2} )}^{2} \\ = 380 \: sq \: feet[/tex]
Please answer correctly! I will mark you as Brainliest!
Answer:
56.5 in
Step-by-step explanation:
Answer:
56.5 in³
Step-by-step explanation:
I wrote out the work in the file below:
Find the shaded angle
Answer:
332°
Step-by-step explanation:
Given is an isosceles triangle,
Measures of base angles of an isosceles triangle are equal.
Therefore,
Measure of central angle
= 180° - ( 76° + 76°)
= 180° - 152°
= 28°
Measure of shaded angle
= 360° - 28°
= 332°
help me find the cube of 1000
Answer:
10 X 10 X 10
Step-by-step explanation:
if thts what you talking aboyt