Answer:
60.63%
Step-by-step explanation:
Prob. of students who regularly attend = 45%
Prob. of students who don't attend = 55%
Upper Class Students who attend = 64 % of 45 %
= 0.64 × 0.45 × 100 = 28.8% = 0.288
Upper Class Students who don't attend = 34 % of 55% = 0.34 × 0.55 × 100 = 18.7% = 0.187
Total for Upper Class Students = 28.8% + 18.7% = 47.5% = 0.475
Probability that an Upper Class Student randomly selected will be attending = ( 0.288 / 0.475 ) × 100 = 0.6063 × 100 = 60.63%
What is the best next step in the constructed of a line that passes through point C and is parallel to AB? (Assume that the arc drawn with the compass placed at point A was the result of the last step performed.)
Answer:
B
Step-by-step explanation:
using the same compass setting, place the point of the compass at C and draw an arc that intersects ĀB
B. using the same compass setting, place the point of the compass at C and draw an arc that intersects ĀB
Parallel lines are lines in a plane that are always the same distance apart. Parallel lines never intersect.
So, the next step should be using the same compass setting, place the point of the compass at C and draw an arc that intersects ĀB.
Therefore the correct option is C.
Learn more:https://brainly.com/question/9018125
Help with this question asap!!
Answer:
1st option.
[tex]\sum_{k=1}^{6} \frac{1}{2k-1}[/tex]
Step-by-step explanation:
The given sequence is as follows:
[tex]1 + \dfrac{1}{3}+ \dfrac{1}{5}+ \dfrac{1}{7}+ \dfrac{1}{9}+ \dfrac{1}{11}[/tex]
Here, we can see that the denominator is in AP and the sequence is:
1, 3, 7, 9, 11
first term, a = 1
Common difference, d = 2
We know that nth term for an AP:
[tex]a_n = a+(n-1)d[/tex]
where a is the first term and
d is the common difference.
So, nth term for above AP:
[tex]a_n = 1+(n-1)\times 2\\\Rightarrow 2n-1[/tex]
Here, we have 'k' in place of 'n':
[tex]a_k = 2k-1[/tex]
And as per the given sequence in the question, the kth term is simply the reciprocal:
i.e. [tex]\dfrac{1}{2k-1}[/tex]
and sum is to be done up to k = 6 from k = 1.
Hence, the summation notation for the sequence
[tex]1 + \dfrac{1}{3}+ \dfrac{1}{5}+ \dfrac{1}{7}+ \dfrac{1}{9}+ \dfrac{1}{11}[/tex]
is:
[tex]\sum_{k=1}^{6} \frac{1}{2k-1}[/tex]
Quadrilateral EFGH is inscribed in a circle. If m∠F = 114° and m∠G = 78° then which of the following is the measure of ∠H?
Answer:
m∠H=66°
Step-by-step explanation:
Since Quadrilateral EFGH is inscribed in a circle, it is a Cyclic quadrilateral.
Theorem: Opposite Angles of a Cyclic Quadrilateral are Supplementary.
Angles F and H are opposite angles of a cyclic quadrilateral and by the theorem above:
m∠F+m∠H=180 degrees
114° +m∠H=180°
m∠H=180° - 114°
m∠H=66°
Find the sum of the geometric series 3+12+48+...+12,288
Answer:
I think that you need to add obvoiusly.
12351 Thats what I got. But Im not sure if its correct. I hope his helps
Step-by-step explanation:
Answer:
16383
Step-by-step explanation:
12288+3072+767+192+48+12+3 =
Which is greater or less then 2/3 Or 1 3/4
Answer:
2/3 < 1 3/4
Step-by-step explanation:
2/3 is less than 1 3/4
2/3 as a decimal is 0.6666667
1 3/4 as a decimal is 1.75
So, 1.75 is more than 0.6666667
18 = -4x -9 + 3 resolver
Answer:
The answer is X=-4 hope this helps.
Answer:
Hope it helps! Mark as brainlist.
A scientist is measuring the temperature change in a decimal compound. The temperature dropped 11 f per hour from the original temperature. After four hours the temperature was 90 f find the compounds original temperature.
Answer:
[tex] F = mt +b[/tex]
From the info given we know that m =-11 and we have a condition given:
[tex] F =90 , t =4[/tex]
Using this condition we have:
[tex] 90 = -11*4 +b[/tex]
And solving for b we got:
[tex] 90 +4*11 = 90 +44= 134[/tex]
So then the original temperatue for this case is 134 F
Step-by-step explanation:
For this case we know that after four hours the temperature was 90 f and the temperature dropped 11 f per hour.
We can use a linear model to solve the problem given by:
[tex] F = mt +b[/tex]
Where F represent the temperature, t the time in hours and m the slope and b the intercept.
From the info given we know that m =-11 and we have a condition given:
[tex] F =90 , t =4[/tex]
Using this condition we have:
[tex] 90 = -11*4 +b[/tex]
And solving for b we got:
[tex] 90 +4*11 = 90 +44= 134[/tex]
So then the original temperatue for this case is 134 F
Please help!
You flip a coin twice.
What is the probability of getting tails and then getting heads?
Write your answer as a percentage.
___%
Your answer would be 25%.
Assuming the coin is not biased, the probability of flipping a heads or tails is 1/2 equally. This remains the same no matter how many times you flip the coin, because the outcome of one flip does not affect the outcome of another.
This means that the probability of getting a tails the first flip is 1/2, and the probability of then getting a heads is also 1/2, so to find the probability of both happening you need to multiply these probabilities together, and 1/2 × 1/2 = 1/4, and 1/4 as a percentage is 25%.
I hope this helps! Let me know if you have any questions :)
On a road map, the distance from Portland to Seattle is 8 cm. What is the actual distance between the cities if the map scale is 2 cm = 37.5 miles?
Answer:
150 miles
Step-by-step explanation:
8/2 = 4
4x37.5 = 150
A boat travels upstream for 96 miles in 4 hours and returns in 3 hours traveling downstream in a river. What is the rate of the boat in still water and what is the rate of the current?
Answer:
Speed of boat in still water = 28 miles/hr
Speed of current = 4 miles/hr
Step-by-step explanation:
Speed upstream, u = 96/4 = 24 miles/hr
Speed downstream, v = 96/3 = 32 miles/hr
Speed of boat in still water = ½(v+u)
= ½ (24 + 32) = 28 miles/hr
Speed of the current = ½ ( v - u)
= ½ (32 - 24) = 4 miles/hr
please identify each that are central angles!!
Correct answers are
<BDE
<EDF
Can some one help me plz with step by step
x^2 + x - 42
Answer:
x = 6 or x = -7
Step-by-step explanation:
Solve for x over the real numbers:
x^2 + x - 42 = 0
The left hand side factors into a product with two terms:
(x - 6) (x + 7) = 0
Split into two equations:
x - 6 = 0 or x + 7 = 0
Add 6 to both sides:
x = 6 or x + 7 = 0
Subtract 7 from both sides:
Answer: x = 6 or x = -7
Correct answer only please!
Elizabeth deposited $4,530 in a savings account earning 11% interest, compounded annually.
To the nearest cent, how much will she have in 5 years?
Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answer: Elizabeth earned $7270.91.
Step-by-step explanation:
The formula given to us is the formula for compounded interest.
You can substitute the values given in the first part of the problem into the equation to find B, the final amount:
[tex]B = p*(1+r)^t\\\\B = 4530 * (1 + 0.11)^5[/tex]
Note that 11% interest is expressed as 0.11 because it is a percentage of a whole number.
Now, use a calculator to raise 1.11 to the fifth degree to get this:
[tex]B = 4530 * 1.605058\\B = 7270.912[/tex]
As such, Elizabeth earned $7270.91 in interest after 5 years.
Shantanu bought more apples than bananas, and he bought more bananas than cantaloupes. Let a represent the number of apples Shantanu bought, let b represent the number of bananas, and let c represent the number of cantaloupes. Let's compare the expressions b+c and a. Which statement is correct?
Answer:
There is not enough information to tell
Step-by-step explanation:
We are given that:
a>b
b>c
Therefore:
a>c
However, we are not given enough information to draw a relationship between b+c and a.
In order to better understand this situation, try applying values. Let a=4, b=2, and c=1.
In this case, a > b+c. However if a = 9, b=8 and c=7, then a < b+c.
In both stipulated cases, the given conditions are met, but no conclusion can be reached regarding the relationship between b+c and a.
What is the length of side AB
Answer:
5 units
Step-by-step explanation:
Using the distance formula:
[tex]AB=\sqrt{(-3-(-8))^2+(-6-(-6))^2}=\sqrt{5^2}=5[/tex]
Hope this helps!
A circular table top has a radius of 3 feet. Enter the area in square feet or the table top. Round your answer
Answer:
28.26 square feet
Step-by-step explanation:
A=πr²
A=(3.14)(3)²=28.26 square feet
Determine the intercepts of the line
Answer:
x-intercept (-7,0)
y-intercept (0,2)
Step-by-step explanation:
Answer:
x-intercept (-7 , 0)
y-intercept (2 , 0)
x intercept is where on the x - aces a point is sitting on on the line
-------------------------- <--- this one is x
y intercept is where on the y- aces a point is sitting on the line
║ <---- this one is y
The principal uses a computer to randomly select the name of a student from all the students in
the school. With the computer program, it is possible to draw the name of the same student
twice. If the principal selects the name of a student from the Voyagers on the first try, what is
the probability she will draw the name of another student from the Voyagers on the second try?
answer choices
81/399
41/200
1/82
21/100
Complete Question
Stillwater Junior High divides students into teams taught by a group of teachers. The table shows the number of students in each team.
Team{Number of Students}
Acers{78}
Blazers{80}
Outbacks{83}
Quasars{77}
Voyagers{82}
Total-400
Answer:
(A)81/399
Step-by-step explanation:
The probability that the Principal selects a voyager on the first try is:
82/400
Since another student is to be selected, the total population has reduced by 1 and the number of voyagers likewise has been reduced by 1.
Therefore:
Probability that another voyager is selected on the second try =
81/399
The correct option is A.
Answer:
41/200 B
Step-by-step explanation:
The student never gets taken away from the count so.
first pull probability is.. 82/400 second is... 82/400 simplify by dividing by 2. Equals 41/200
Help please!!!!
Amara has taken out a fixed rate mortgage for $125,000 at 4.04% for 20 years, or 240 months. Her payments are $730. What is the total cost of the loan?
A. $130,050
B. $175,200
C. $211,680
D. $226,000
Answer:
B. $175,200
Step-by-step explanation:
Monthly payment
$730Number of payments
240Total cost of the loan is:
$730*240 = $175200Correct answer choice is: B
Answer:
Hello, the total cost of the loan is $175,200 i have the same question on my previous exam and did the work to double check
What the missing value X^2-20x+—
Answer:
it is -1x2
Step-by-step explanation:
by the ex variable u will get it
Which Postulate/Theorem below would prove that the triangles shown below are congruent?
a. SSS
b. SAS
c. AAS
d. ASA
Answer:
Correct answer is D. ASA
Step-by-step explanation:
Let us first define ASA congruence rule:
2 triangles are called congruent according to ASA congruence rule if 2 angles of the triangle and the corresponding side between these two angles are equal to each other.
In the question figure, we can figure out following conclusions from Triangles [tex]\triangle SRT\text{ and }\triangle WXY[/tex] respectively:
[tex]\angle TRS = \angle YXW[/tex]Side RS = Side WX[tex]\angle TSR = \angle YWX[/tex]As per the definition of option d) ASA congruence, the triangles are congruent.
Answer:
D. ASAStep-by-step explanation:
Which scenario cannot be modeled by a right triangle?
A 13-foot ladder is placed 5 feet away from a wall. The distance from the ground straight up to the top of the
wall is 12 feet
Wendy leaves school to go home. She walks 60 yards north and then 80 yards west. She is 10 yards from the
school
The dimensions of a triangular-shaped garden are 28 yards, 53 yards, and 45 yards.
A Babylonian writing mentioned a triangle with side lengths 120, 169, and 119.
Answer:
B
Step-by-step explanation:
B. Wendy leaves school to go home. She walks 60 yards north and then 80 yards west. She is 10 yards from the school.
got it right on edge
What is 3x10^7 x 8x10^4 in standard form
Answer:
They are already in standard form.
Step-by-step explanation:
Square root of 8.8 up to two decimal step by step explanation
Answer:
2.97
Step-by-step explanation:
8.8 = 4 *2.2 = 4 * 220/100
220 = 4 *55
8.8 = (4 *4*55)/100 = 16 *55/100
[tex]\sqrt{8.8} =\sqrt{(16 * 55)}/\sqrt{100\\}[/tex]
[tex]\sqrt{8.8}= \frac{4}{10}*\sqrt{55}[/tex]
≈[tex]\sqrt{8.8} = 0.4 * 7.416 = 2.9664 \\2.97[/tex]
how would you solve 4x - 3y = 78 2x + 3y = 48 by elimination
Answer:
x = 21, y = 2
Step-by-step explanation:
4x- 3y = 78....(1)
2x + 3y = 48 ...(2)
Adding eqiautions (1) and (2)
4x- 3y = 78
2x + 3y = 48
-----------------------
6x + 0 = 126....(Here y has been eliminated)
6x = 126
[tex] x= \frac{126}{6}\\\\
\therefore x = 21\\[/tex]
Plugging x = 21 in equation (2) we find:
2 * 21 + 3y = 48
42 + 3y = 48
3y = 48 - 42
3y = 6
[tex] y= \frac{6}{3}\\\\
\therefore y = 2\\[/tex]
ZA=
Round your answer to the nearest hundredth.
B
9
?
С
3
A
Answer:
∠A ≈ 71.57
Step-by-step explanation:
You use inverse tangent since it gives you the opposite and adjacent sides: [tex]tan^-1[/tex]
[tex]tan^-1(9/3)[/tex]
≈ 71.565
Round to nearest hundredth:
≈ 71.57
please help me quickly !!
Answer:
A ... [tex]\frac{3}{4} (\frac{4}{3})x=-6 (\frac{4}{3})[/tex]
Step-by-step explanation:
Multiplying 4/3 on both sides gets x by itself
Divide ( 4x2 - 24x + 35 ) / ( 2x - 5 )
Answer:
the closest i got is [tex]\frac{43-24x}{2x-5}[/tex]
Step-by-step explanation:
Area between two shapes circles ixl
A child's sandbox is 5 feet wide, 4 feet long, and 3 feet deep. Grace fills the sandbox so that the sand is 2 ½ feet deep. What is the volume of the sand in the box?
Answer:
the volume of sand is [tex]50 ft^{3}[/tex]
Step-by-step explanation:
This problem bothers on the mensuration of solid shapes, rectangular prism.
Given data
[tex]Length l= 4 ft Width w= 5ft\\Height h = 3ft[/tex]
if the sandbox is filled with sand of [tex]2\frac{1}{2 } ft[/tex] deep the volume of the sand in the box will be calculated based on the the depth of the sand
converting the depth of sand from mixed fraction to proper fraction we have [tex]2\frac{1}{2} = \frac{5}{2}[/tex]
the expression for the volume of a rectangular prism is
[tex]volume of sand = length * width* height[/tex]
substituting our data into the expression we have
[tex]volume of sand= 5*4 * \frac{5}{2} \\volume of sand = \frac{100}{2} \\volume of sand = 50 ft^{3}[/tex]