Answer:
10 3/5
Step-by-step explanation:
6 4/5 + 3 4/5
First convert to improper fraction,
34/5 + 19/5
Then add the improper fractions,
=>53/5
Then convert improper fraction to mixed fraction,
=> 53/5 = 10 3/5
What is the solution for the systems of equations below?
3x+4y=-2
2x-4y=-8
answers
x=2, y=-2
x=6, y=-5
x=4, y=4
x=-2, y=1
If an air conditioner is rated at 16000 BTU per hour, how many watts does it require? Round to the nearest 100 watts
The number of watts will be 4700 watts to the nearest 100 watt.
How to calculate the value?It should be noted that 1 watt equals to 3.41 Btu per hour.
In this case, the air conditioner is rated at 16000 BTU per hour.
Therefore, the number of watt will be:
= 16000/3.41.
= 4692
= 4700 watts to the nearest 100 watt.
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What is the midpoint of AC on the grid below?
Answer: Coordinates of the point E of the middle AC (-1 ; 1 )
Step-by-step explanation:
The middle of AC can be calculated by the formula :\(\sf \displaystyle M=\left (\frac{x_1+x_2}{2} \ ; \ \frac{y_1+y_2}{2} \right ) =(x_m \ ; \ y _m )\) In our case :A(2 ; 4) ; C(-4 ; -2) Then :\(\sf \displaystyle M=\left (\frac{2+(-4)}{2} \ ; \ \frac{4-2}{2} \right ) =(-1 \ ; \ 1 )\) Coordinates of the point E of the middle AC (-1 ; 1 )Evaluate each expression if f= -6,9=7, and h=9. 10. g -7 11.-h-(-9) 12. f-g
Answer: 10
Step-by-step explanation:
if u take -6 and add it to 9 and 7 u get 10
What are the 2  formulas to find the area of a circle
Therefore, according to the given information, The formulas to find the area of a circle are\(\pi r^2 and (d/2)^2\pi or r^2\pi\).
What is the area of a circle?The area of a circle is given by the formula A = πr², where r is the radius of the circle.
According to the given information:The area of a circle can be found using either of the following formulas:
\(\pi r^2\), where π (pi) is a mathematical constant approximately equal to 3.14159 and r is the radius of the circle.
\(A = (d/2)^2π,\) where d is the diameter of the circle. This formula can also be written as \($A = r^2\pi$\), where r is the radius of the circle and A is the area.
Both formulas are equivalent and can be used interchangeably, depending on the given information about the circle.
Therefore, according to the given information, The formulas to find the area of a circle are\(\pi r^2 and (d/2)^2\pi or r^2\pi\).
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which choice correctly expresses the number below in scientific notation?
0.000611
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the
10
. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
6.11/104
Complete the table below to solve the equation 2.5x − 10.5 = 64(0.5x)
When a single die is thrown the event of getting odd number or
even number is
Answer:
60%, 40%
Step-by-step explanation:
there are 1,2,3,4,5,6 numbers in the dice the even numbers are moreover than the odd so It 60%,40%
Answer:
50%, or mutually exclusive
Step-by-step explanation:
A die has 6 sides 1-6. So there are three odd numbers (1,3,5) and three even number (2,4,6). It is a single throw so the die can only land on one number mutually exclusive number, since there are the same amount of odd numbers as even the probability is 50%.
For a single randomly selected steel rod, find the probability that the length is between 213.3-cm and 213.7-cm.
Answer: probably like 1.8%
Step-by-step explanation:
A cup slides off a 2.5 m high table with a speed of 2.8 m/s to the right. We can ignore air resistance. What was the cup's horizontal displacement during the fall?
Answer:
Horizontal distance = 1.98 m (Approx)
Step-by-step explanation:
Given:
Height = 2.5 m
Speed v = 2.8 m/s
Find:
Horizontal displacement
Computation:
s = ut + (1/2)gt²
2.5 = (1/2)(9.8)t²
t² = 0.5102
t = 0.7079 s
Horizontal distance = (v)(t)
Horizontal distance = (2.8)(0.7079)
Horizontal distance = 1.98 m (Approx)
Which of the following sentences show correct verb tense usage? Check all that apply. When the facilitator announced a bathroom break, the seminar participants took out their iPhones and begun checking their messages a The overall outlook is favorable, so I wrote to the board chair to inform him. She has wrote him an e-mail
The sentence which show correct verb tense usage is The overall outlook is favorable.
Verbs are a necessary component of communication in every language, including English, without which it would be difficult to convey what the subject is doing. All acts, including those motivated by sentiments and emotions, are included.
Verbs exist in a variety of forms and kinds so they can function in many ways to convey the whole meaning. Let's have a look at how different dictionaries define the word "verb" before we examine the many kinds of verbs and their forms.
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What is the measure of angle CBA.
Answer:
it's 58 degrees
Step-by-step explanation:
a triangle equals 180 degrees. Subtract 97 and 25 from 180 and you get 58.
A computer consultant charges her client for her services
based on an equation relating the total bill to the
number of hours worked (h). The best interpretation for
the expression 85h + 75 is
The best interpretation for the expression 85h + 75 is;
The charge for each hour worked is $85
The initial charge before commencement of work per hour is $75
How to Interpret Linear Equations?The general formula of the equation of a line in slope intercept form is;
y = mx + c
where;
m is slope
c is y-intercept
Now, the slope may also be called the rate of change of the output with the input while the y-intercept represents the initial value or the value of the output when the input is zero.
Now, we are given the equation for total bill as;
T = 85h + 75
where h is number of hours worked
Thus;
The charge for each hour worked is $85
The initial charge will be $75 before commencement of work per hour.
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This level is locked
because of this clock
Can you escape.
before its too late?
A =1
B=2
C=4
D=5
F=6
G=7
H=8
I=9
J=10
K=11
-D/F - B/1 =
Code:
Enter the Correct 2 Character LETTER Code (use capital letters and include the
fraction slash (/) with no spaces)*
Your answer
This is a required question
The required correct 2-character LETTER code (use capital letters and include the fraction slash (/) with no spaces)* is G/F.
Given that,
This level is locked because this clock
A =1, B=2, C=4, D=5, F=6, G=7, H=8, I=9, J=10, K=11
To code: enter the correct 2-character LETTER code (use capital letters and include the fraction slash (/) with no spaces)*
What is simplification?The process in mathematics to operate and interpret the function to make the function simple or more understandable is called simplifying and the process is called simplification.
Since,
= D/F - B/1
= -5/6 + 2/1
= 7/6
Here, G = 7 and F = 6
= G/F
Thus, the required correct 2-character LETTER code (use capital letters and include the fraction slash (/) with no spaces)* is G/F.
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Graph AFGH with vertices F(-2,2), G(-2,-4), and H(-4,-4) and its image after the similarity transformation.
Rotation: 180° about the origin
Dilation: center (2,-2) and k = 2
Answer:
i think its 5
Step-by-step explanation:
im not sure if its 5 or not but im guessing
If events X and Y are independent, what must be true? Check all that apply. OP(YIX) = 0 □ P(X|Y)=0 OP(Y IX)=P(Y) OPYIX)=P(X) □ P(X|Y)=P(Y) OP(X|Y)=P(X)
Out of all probabilities
P(Y | X) = P(Y) and P(X | Y) = P(X) are true
If X and Y are unrelated events, then we increase the likelihood of their intersection.
P(Y∩X) = P(Y) * P(X)
We know that
\(P(Y|X)=\frac{P(Y intersection X)}{P(X)}\)
Replace P(Y) * P(X) for P(Y∩X)
\(P(Y|X)=\frac{P(Y)*P(X)}{P(X)}\)
Cancel P(X)
So P(Y | X) = P(Y)
What is probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is basically what probability means. You will understand the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution. Knowing the total number of outcomes is necessary before we can calculate the likelihood that a specific event will occur.
Probability is a way to gauge how likely something is to happen. Several things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is. Probability can range from 0 to 1, with 0 denoting an impossibility and 1 denoting a certainty. For pupils in Class 10, the probability is a crucial subject because it teaches all the fundamental ideas of the subject. One is the probability of every event in a sample space.
from the question:
\(P(X|Y)=\frac{P(X intersection Y)}{P(Y)}\)
Now we replace P(X) * P(Y) for P(X∩Y)
\(P(X|Y)=\frac{P(X)*P(Y)}{P(Y)}\)
Cancel out P(Y)
So P(X | Y) = P(X) and P(Y | X) = P(Y) are true
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10. The time that it took four students in Mrs.
Alvarez's class to solve a rubiks cube is listed
n the table below.
MITCHELL
3 min 33 seconds
ERIN
3 min 5 seconds
CHELSEA
2 min 55 seconds
FINN
2 min 59 seconds
List the students names in order beginning
with the fastest time.
Answer:
Step-by-step explanation: I think it would be from Michel to Erin to Finn to Chelsea
The order is:
- CHELSEA = 2 min 55 seconds
- FINN = 2 min 59 seconds
- ERIN = 3 min 5 seconds
- MITCHELL = 3 min 33 seconds
Given,
The time that it took four students in Mrs. Alvarez's class to solve a Rubik's cube is listed in the table below.
MITCHELL = 3 min 33 seconds
ERIN = 3 min 5 seconds
CHELSEA = 2 min 55 seconds
FINN = 2 min 59 seconds
We need to list the students' names in order beginning with the fastest time.
Find the time that took to solve a Rubik's cube for each person.
- MITCHELL = 3 min 33 seconds
- ERIN = 3 min 5 seconds
- CHELSEA = 2 min 55 seconds
- FINN = 2 min 59 seconds
Arrange the time taken by each person in ascending order.
Since,
2 min 55 seconds < 2 min 59 seconds < 3 min 5 seconds < 3 min 33 seconds
The order from fastest time is:
- CHELSEA = 2 min 55 seconds
- FINN = 2 min 59 seconds
- ERIN = 3 min 5 seconds
- MITCHELL = 3 min 33 seconds
We see that CHELSEA took the least time which means the fastest time to solve the Rubik's cube.
Thus,
- CHELSEA = 2 min 55 seconds
- FINN = 2 min 59 seconds
- ERIN = 3 min 5 seconds
- MITCHELL = 3 min 33 seconds is our order.
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Suppose that the walking step lengths of adult males are normally distributed with a mean of 2.5 feet and a standard deviation of 0.4 feet. A sample of 45 men’s step lengths is taken. Step 1 of 2 : Find the probability that an individual man’s step length is less than 1.9 feet. Round your answer to 4 decimal places, if necessary.
Answer:
0.0668 = 6.68% probability that an individual man’s step length is less than 1.9 feet.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
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.
Normally distributed with a mean of 2.5 feet and a standard deviation of 0.4 feet.
This means that \(\mu = 2.5, \sigma = 0.4\)
Find the probability that an individual man’s step length is less than 1.9 feet.
This is the p-value of Z when X = 1.9. So
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{1.9 - 2.5}{0.4}\)
\(Z = -1.5\)
\(Z = -1.5\) has a p-value of 0.0668
0.0668 = 6.68% probability that an individual man’s step length is less than 1.9 feet.
verify each identity \( \frac{ \cos^{2}x }{ \csc{}^{2}x } = \frac{ \sin ^{2}x }{ \sec ^{2}x } \)
Answer:
Verified
Explanation:
Given the identity:
\(\frac{ \cos^{2}x }{ \csc{}^{2}x }=\frac{ \sin^{2}x }{ \sec^{2}x }\)We apply the following identity:
\(\begin{gathered} \csc =\frac{1}{\sin}\implies\sin =\frac{1}{\csc } \\ \sec =\frac{1}{\cos}\implies\cos =\frac{1}{\sec } \end{gathered}\)Therefore:
\(\begin{gathered} \frac{\cos^2x}{\csc{}^2x}\stackrel{?}{=}\frac{\sin^2x}{\sec^2x} \\ \cos ^2x\times\frac{1}{\csc{}^2x}\stackrel{?}{=}\sin ^2x\times\frac{1}{\sec ^2x} \\ \cos ^2x\times\sin ^2x\stackrel{?}{=}\sin ^2x\times\cos ^2x \\ \implies\sin ^2x\cos ^2x=\sin ^2x\cos ^2x \end{gathered}\)Thus, the identity is verified since both sides of the identity are equal.
find the products (4m+5)(3m-6)
Answer:
12m^2 - 9m -30
Step-by-step explanation:
So rewrite the equation to this:
4m * 3m
4m * -6
5 * 3m
5 * -6
Now solve:
4m * 3m = 12m^2
4m * -6 = -24m
5 * 3m = 15m
5 * -6 = -30
Now add them together in order:
12m^2 - 24m + 15m - 30
Simplify -24m and 15m:
12m^2 - 9m -30
Thus
12m^2 - 9m -30 is the answer
Hope this helps!
Answer:
12m² - 9m - 30
Step-by-step explanation:
find the products (4m+5)(3m-6)
(4m + 5)(3m - 6) =
12m²- 24m + 15m - 30 =
12m² - 9m - 30
6. What is the center and radius of the circle?
The center of the circle is (4, 7) and the radius is 7
How to determine the radius of the circleFrom the question, we have the following parameters that can be used in our computation:
(x - 4)^2 + (y - 7)^2 = 49
A circle equation is represented as
(x - a)^2 + (y - b)^2 = r^2
Where
Center - (a, b)
Radius = r
Using the above as a guide, we have the following:
(a, b) = (4, 7)
r^2 = 49
Evaluate
(a, b) = (4, 7)
r = 7
Hence, the radius of the equation is 7
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A fighter jet F and a helicopter H leave the airport A at the same time. The jet flies 25 km on a bearing of 040° and the helicopter flies 30 km on a bearing of 320°. How far apart are the aircraft? (Use a scale of 1 cm to represent 5 km.)
Answer:
FH = 35.64
Step-by-step explanation:
(∠A = 360 so the other angle is 40)
By law of cosines,
FH² = AH² + FA² - 2(AH)(FA) * cos(A)
= 30² + 25² - 2(30)(25) * cos(80)
= 900 + 625 - 1500 * 0.17
= 1525 - 255
FH² = 1270
FH = √1270
FH = 35.64
A bag contains: . 5 red marbles • 6 blue marbles • 3 green marbles • 4 black marbles • 2 yellow marbles A marble will be drawn from the bag and replaced 100 times. What is a reasonable prediction for the number of times a green or black marble will be drawn?
Answer:
For 100 draws, I would expect green or black to be drawn 35 times.
Step-by-step explanation:
5 + 6 + 3 + 4 + 2 = 20 marbles
I would expect green or black to be drawn 7/20 of the time.
addition process of removing the one marble and adding 100 to the amount of green and black marble
A data set is shown in the table. The line of best fit modeling the data is y = 2.69x – 7.95.
Answer:
It’s 0.12
Step-by-step explanation:
Took test
An airplane is loaded with cargo and ready to take off. Before it departs, an unknown number of 8 pound boxes, b, will be taken off the plane and a 600 pound crate will be put on. To keep the plane in balance, no more than 400 pounds may be taken off the plane. Write an inequality that best describes this situation.
b. Write the inequality that describes this situation.
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
Number of 8 pounds before boxes to be removed from cargo = b
Weight in pound of crate to be loaded into cargo = 600 pounds
To achieve a balance , no more Than 400 pounds may be taken off the plane
Hence,
Number of pounds removed must not be more than 400 pounds
(8 pounds * b) ≤ 400
8b ≤ 400
Divide both sides by 8
b ≤ 50
Can someone do the work for me ?
Answer:
ill try
Step-by-step explanation:
Out of 80 workers surveyed at a company, 11 walk to work. a. What is the experimental probability that a randomly selected worker at that company walks to work? b. Predict about how many of the 2700 workers at the company walk to work
The probability of the people walking will be 0.1375 And the experimental probability will be 0.03
What is probability?Probability can be defined as the number of outcomes that has appeared comparing it with the total number of outcomes that have happened.
The total number of workers is 80
Workers going to work by the walk will be 11
A)
The probability random of people walking is
P = favorable outcome / total outcome
= 11 / 80
= 0.1375
B)
If there are 2700 workers
The experimental probability will be
E (x) = n*P
=80 / 2700
= 0.03
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Let σ(n) be the sum of all positive divisors of the integer n and let p be any prime number.
Show that σ(n) < 2n holds true for all n of the form n = p²
The statement that "σ(n) < 2n holds true for all n of the form n = p²" has been proved.
Let p be any prime number, and let σ(n) be the sum of all positive divisors of the integer n.
As p is a prime number, and 2 is the smallest prime number, so, p\(\geq\)2
So, the positive divisors of the integer n are: 1,p,p².
As σ(n) represents the sum of all positive divisors of the integer n.
σ(n)=1+p+p²
In order to prove that σ(n) < 2n,for all n of the form n = p².
1+p+p²<2p²
p²-p-1>0
It is know that, p\(\geq\)2.
So, p²-p-1\(\geq\)1
Thus, σ(n) < 2n holds true for all n of the form n = p².
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(PLEASE HELP ALL MY POINTS) What is the best way to describe the center of the data represented in this line plot?
Select from the drop-down menus to correctly complete the statement.
The
mean or median
is
1.5 inch or 1 inch or 1.8 inches or 2 inches
Answer:
Review. The mean and the median can be calculated to help you find the “center” of a data set. The mean is the best estimate for the actual data set, but the median is the best measurement when a data set contains several outliers or extreme values.
Step-by-step explanation:
bye
Answer:
the mean is 1.8, the median is 1
Step-by-step explanation:
At a local movie theatre, sodas cost$4.50 and bags of popcorn cost &1.50. Kirk buys three times as many bags of popcorn as sodas and pays a total of $36. Write a system of equations and solve it using any method to determine how many of each item Kirk bought.
Answer:
this might help
Step-by-step explanation:
this might be kinda similar
Chickens and rabbits
In the yard were chickens and rabbits. Together they had 18 heads and 56 legs. How many chickens and how many rabbits were in the yard?
Correct answer:
chickens: 8
rabbits: 10
Step-by-step explanation:
a+b=18
2a+4b=56
a=8
b=10
a+b = 18
2•a+4•b=56
a+b = 18
2a+4b = 56
a = 8
b = 10