Negative 3 6/7 times negative 3 1/3
The expression Negative 3 6/7 times negative 3 1/3 has a value of -12 6/7
Evaluating the mathematical expressionWe have the following statement as the given parameter
Negative 3 6/7 times negative 3 1/3
Next, we rewrite the above statement using numbers and operators
-3 6/7 * 3 1/3
The above statement is a product expression that multiplies the values of -3 6/7 and 3 1/3
Also, there is no need to check if there are like terms in the expression or not
This is because we are multiplying the factors
So, we have
-3 6/7 * 3 1/3 = -27/7 * 10/3
Evaluate
-3 6/7 * 3 1/3 = -9/7 * 10
Rewrite as
-3 6/7 * 3 1/3 = -90/7
Simplify
-3 6/7 * 3 1/3 = -12 6/7
This means that the value of the expression is -12 6/7
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Solve 3(z+1) + 11 < -2(z+13)
Answer:
The answer is z < -8. First of all, you use distributive property to get rid of the brackets. 3(z) = 3z and 3(1) = 3. The left side of the equation is now 3z + 3 + 11. Then, on the other side, -2(z) = -2z and -2(13) = -26. The right side of the equation is now -2z - 26. Then we combine like terms on the left side so we end up with 3z + 14 while the other side is still -2z - 26. We can put all of the z on the left side, so add 2z to both sides and then we have 5z + 14 < -26. We can put all of the “regular” numbers on the right side, so subtract 14 from each side and then we have 5z < -40. Divide each side by 5 and you end up with z < -8!
Step-by-step explanation:
if p(e and f)=.392, p(e/f)=.56 and p(f/e)=.7, then p(e)=
On solving the provided question, we can say that Probability(A and B) = P(A)P(B|A) and P(E or F) = P(E) + P(F) - P(E and F)
What is probability?Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a complete set of equally likely possibilities that result in a certain occurrence compared to the total number of outcomes.
Probability(A and B) = P(A)P(B|A).
P(A and B) = P(B and A), this may also be written as P(A and B) = P(B)P(A|B).
Using the general multiplication rule, we have
P(E and F) = P(E)P(F|E)
.392 = P(E)(.7)
P(E) = .56
P(E and F) = P(F)P(E|F)
.392 = P(F)(.56), so
P(F) = .7
P(E or F) = P(E) + P(F) - P(E and F)
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Is this 2/9 I need help
Answer:
Yes, it is 2/9.
Step-by-step explanation:
You want to draw a red ball first, and then a blue ball.
This means the order would be RB.
Count the amount of options that are "RB" and you get 2.
There are 9 options in total.
Probability: \(\frac{2}{9}\)
Find the unit rate of miles 1/5 in 1/65hour
Answer: 13 miles per hour
Step-by-step explanation:
1/5mi=1/65hr
65/5mi=hr
13mi hr
You spin the spinner once what is p(greater than 4 or less then 5)
Answer:
can someone look at my answer
Step-by-step explanation:
Find the x value to 3x+9=6 and 3x+9=-6
Answer:
for the first one its x=5
for the second x=−5
one its Step-by-step explanation:
Please help quickly I'm begging!
Assignment details: In this assignment, you will create two graphs and answer questions about Bond's Gym, the business you are supporting.
The functions are f(x) = 600 - 10x & g(x) = 20/3x, and the graphs are added as attachments
Creating the functions of the Bond's GymFrom the question, we have the following parameters that can be used in our computation:
The table of values
For the membership application, we have the following features
Initial value = 600Constant rate of change = (450 - 600)/(15 - 0) = -10So, the function is
f(x) = 600 - 10x
For the membership available, we have the following features
Initial value = 0Constant rate of change = (100 - 0)/(15 - 0) = 20/3So, the function is
g(x) = 20/3x
So, the functions are f(x) = 600 - 10x & g(x) = 20/3x
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Simplify the following expression:
(i-3) +6i-3(8 - i)
A. 21+7
B. -27 +10;
C. 14 +6;
D. 8 +41
The complex expression (i-3) +6i-3(8 - i) when simplified is -27 + 10i
How to simplify the complex expressionFrom the question, we have the following parameters that can be used in our computation:
(i-3) +6i-3(8 - i)
Express properly
So, we have
(i - 3) + 6i - 3(8 - i)
When the brackets are opened, we have
(i - 3) + 6i - 3(8 - i) = i - 3 + 6i - 24 + 3i
Collect the like terms
So, we have
(i - 3) + 6i - 3(8 - i) = - 3 - 24 + i + 6i + 3i
Evaluate the like terms
So, we have
(i - 3) + 6i - 3(8 - i) = -27 + 10i
Hence, the complex expression when simplified is -27 + 10i
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which equation represents a line which is parallel to the line y = -5/8x + 6
The slope of a line is a measure of its steepness and it is denoted by the letter m. For two lines to be parallel, they must have the same slope.
The given equation is y = -5/8x + 6. We can see that the slope of this line is -5/8. Therefore, any line that is parallel to this line must also have a slope of -5/8.
An equation of a line with slope -5/8 can be written in the slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.
Let's say that the equation of the line we are looking for is y = -5/8x + b. To find the value of b, we need to use a point on the line. Any point on the line will work, but it is often easiest to use the y-intercept of the original line.
The y-intercept of the original line is 6, so we can substitute x = 0 and y = 6 into our equation to get:
6 = -5/8(0) + b
6 = b
Therefore, the equation of a line that is parallel to y = -5/8x + 6 is y = -5/8x + 6.
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the complete question is:
Which equation represents a line which is parallel to the line y = -5/8x + 6?
A) 8x + 5y = 10
B) 8x - 5y = 15
C) 8y - 5x = -24
D) 5x + 8y = 32
HELP PLEASE FAST
Determine the value of x
Answer:
35
Step-by-step explanation:
NO LINKS!!
A consulting engineer's time is billed at $40 per hour, and her assistant's is billed at $10 per hour. A customer received a bill for $425 fir a certain job. If the assistant worked 5 hours less than the engineer, how much time did each bill on the job?
Engineer: _____ hr
Assistant: ______ hr
Answer:
Engineer: 9.5 hr
Assistant: 4.5 hr
Step-by-step explanation:
To solve this problem, we can create and solve a system of equations.
Define the variables:
Let x be the number of hours the engineer worked.Let y be the number of hours the assistant worked.Given the engineer's time is billed at $40 per hour, and her assistant's is billed at $10 per hour, and a customer received a bill for $425 for a certain job:
\(40x+10y=425\)Given the assistant worked 5 hours less than the engineer:
\(y=x-5\)Therefore, the system of equations that represents the problem is:
\(\begin{cases}40x+10y=425\\ \quad \qquad \;\;\;y=x-5\end{cases}\)
Substitute the second equation into the first equation to eliminate y:
\(40x+10(x-5)=425\)
Solve the equation for x to find the number of hours the engineer worked:
\(\begin{aligned}40x+10(x-5)&=425\\40x+10x-50&=425\\50x-50&=425\\50x&=475\\x&=9.5\end{aligned}\)
Therefore, the engineer worked 9.5 hours.
Substitute the found value of x into the second equation and solve for y to find the number of hours the assistant worked:
\(\begin{aligned}y&=x-5\\y&=9.5-5\\y&=4.5\end{aligned}\)
Therefore, the assistant worked 4.5 hours.
10. Find measure of arc JK
pls help ASAP for points
The value of measure of arc JK is,
⇒ (arc KJ) = 28 degree
Since, The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
We have to given that;
Measure of arc KL = 152°
Now, We know that;
⇒ m (arc LK) + m (arc KJ) = 180°
Substitute given values, we get;
⇒ 152° + m (arc KJ) = 180
⇒ m (arc KJ) = 180 - 152
⇒ (arc KJ) = 28 degree
Thus, The value of measure of arc JK is,
⇒ (arc KJ) = 28 degree
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£1 = $1.41
£1= €1.15
$1= €?
We can use unit conversion to find the value of $1 in Euros:
\begin{aligned}
£1 &= $1.41 \\
\frac{£1}{1.15} &= \frac{$1.41}{x} \\
x &= \frac{$1.41}{\frac{£1}{1.15}} \\
&= $1.7278
\end{aligned}
Therefore, $1 is equal to €1.7278.
For every 8 boys signed up for intramural basketball, there are 6 girls. If there are 48 boys signed up to play intramural basketball, how many girls are signed up? 30 girls 33 girls 36 girls 42 girls
Answer:
36 girls signed up
Step-by-step explanation:
1. Create a ratio for boys to girls: 8:6
2. Multiply 8 * 6 to get 48 (amount of boys who signed up.)
Whatever we do one on side we do to the other, so multiply the girls by 6.
6 * 6 = 36
48:36 = 8:6
these ratios are proportional
Complete the recursive formula of the arithmetic sequence 13, 6, -1, -8,...
Answer:
-15 ,-22,-29 ,-36 ,-43
Step-by-step explanation:
Answer:
C(1)=13
c(n)=c(n-1)+-7
Step-by-step explanation:
To find what C(1) equals look at the first number in the sequence in this case the sequence starts at 13 that's what C(1) equals
13,6,-1,-8
To find what c(n) equals you check what the common difference is in this case they are adding -7 or subtracting 7 each time.
13-7=6
6-7= -1
-1-7=-8
Then you plug the common difference into the last part it, C(n)=c(n-1)+-7
HELP PLS ASAPPP!!!
algebra problem; solving linear inequalities !!! :)
Answer: x = -3/2
Step-by-step explanation:
how would i anwser this? help pls!
Answer:
Step-by-step explanation:
To get the y values all you need to do is substitute the x value in the equation y=-2/3x+7.
For example:
y=-2/3(-6)=7
-2/3x6=-4
-4+7=3
(-6,3)
You can double check your work by filling the x and y coordinates in the equation and when solved if it it true you know you were correct.
To get the x value, you need to fill in the y in the equation y=-2/3x+7
for example:
5=-2/3x+7
-2=-2/3x
3=x
(3,5)
y=-2/3x+7
y=-2/3(15)+7
y=-10+7
y=-3
(15,-3)
y=-2/3x+7
15=-2/3x+7
8=-2/3x
-12=x
(-12,15)
The price of the TV, which cost € 1,260, was reduced by € 189. Calculate the percentage of this TV.
Initial TV price, $1,260
price reduction, $189
percentages:
reduction percentage or discount = 189/1260 = 0.15 = 15%
The above indicates the percentage by which the price was reduced or the discount obtained
percentage paid = (1260-189) / 1260 = 0.85 = 85%
This indicates that we paid 85% of the initial price.
Climbing Mt. Everest is not an easy task! Not only is it a difficult hike, but the Earth's atmosphere
decreases exponentially as you climb above the Earth's surface, and this makes it harder to breathe. The air
pressure at the Earth's surface (sea level) is approximately 14.7 pounds per square inch (or 14.7 psi). In
Denver, Colorado, elevation 5280 feet, the air pressure is approximately 12.15 psi.
a.) write an exponential equation
b.) what is the air press at the top of mount everest, elevation 29,000 feet?
The exponential equation that represents the relationship between the air pressure and the elevation above the Earth's surface is
y = 14.7 x 0.827^x
The air pressure at the top of Mount Everest, elevation 29,000 feet is approximately 1.931 psi
Finding exponential equation and calculating air pressureTo write an exponential equation for the relationship between the air pressure and the elevation above the Earth's surface, we can use the form y = a x b^x,
where y is the air pressure,
x is the elevation,
and a and b are constants.
We can use the data given in the problem to find the values of a and b.
Let y = air pressure (psi)
x = elevation (feet)
We know that at sea level (x = 0), y = 14.7 psi
At Denver, Colorado, elevation 5280 feet, y = 12.15 psi
We can use these two points to find the values of a and b in the equation y = a x b^x
12.15 = 14.7 x b^5280
b = (12.15/14.7)^(1/5280)
b = 0.827
a = 14.7
The exponential equation that represents the relationship between the air pressure and the elevation above the Earth's surface is
y = 14.7 x 0.827^x
b.) To find the air pressure at the top of Mount Everest, elevation 29,000 feet, we can substitute that value for x into the exponential equation.
y = 14.7 x 0.827^29000
y = 1.931 psi
The air pressure at the top of Mount Everest, elevation 29,000 feet is approximately 1.931 psi. It's worth noting that this is a very low air pressure and the human body is not able to survive with such low pressure without proper equipment.
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What is the probability of rolling a sum of 5 with two dice?
Answer:
1/9
Step-by-step explanation:
probability equals number of desired outcomes over total possible outcomes
Total possible outcomes = 36
possible sums of 5:
2,3 1,4 3,2. 4,1
4/36= 1/9
What is the common ratio in the following geometric sequence? *
(10 Points)
{1, 3, 9, ...)
A 3
B 2
C 1
D 27
Evaluate m + 7.5, when m = 8.6
Show your work plz
Answer: 16.1
Step-by-step explanation: ad the numbers like normal numbers 7.5+8.6=16.1
the equation is (9+6)+4=(5+ blank)+4
Answer:
10
Step-by-step explanation:
(9 + 6) + 4 = (5 + x) + 4
15 + 4 = 5 + x + 4
19 = x + 9
19 - 9 = x
10 = x
5/8 of the students in
the Science Club are girls.
If there are 32 students in
the club. How many boys
are there?
Expand and simplify x(3x + 5)-5(2x - 1)
PLEASE HELP ME AND ANSWER THIS QUESTION !! I need this for my assessment revision
The simplified expression of x(3x + 5)-5(2x - 1) is 3x² - 5x + 5
How to expand and simplify the expressionFrom the question, we have the following parameters that can be used in our computation:
x(3x + 5)-5(2x - 1)
Open the brackets
So, we have
3x² + 5x - 10x + 5
Evaluate the like terms
So, we have
3x² - 5x + 5
Hence, the simplified expression is 3x² - 5x + 5
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Use the information given to find a convenient class width. Then list the class boundaries that can be used to create a relative frequency histogram. (Round your class width up to the nearest multiple of 5. Use the minimum value as the smallest class boundary. Enter your class boundaries as a comma separated list.)
Answer:
hello some information is missing below is the missing information
8 classes for n = 75 measurements; minimum value = 20; maximum value = 175
answer : width = 20
class boundary : 20,40,60,80,100,120,140,160,180
Step-by-step explanation:
Using the information given the convenient class width
= (maximum value - minimum value) / number of class
= ( 175 - 20 ) / 8
= 155 / 8 = 19.375 to the nearest multiple of 5 = 20
Using the minimum value as the smallest class boundary
the class boundary will be :
20,40,60,80,100,120,140,160,180
since the maximum value 175
You might need: CalculatorZA=Round your answer to the nearest hundredth.СоMY?ProPro6TeaB4
∠A = 41.81°
Explanation:To get measure of angle A, we would apply trigonometry ratio SOHCAHTOA:
opposite = side opposite the angle = 4
hypotenuse = 6
adjacent = base = AC = ?
Since we have been given the opposite and the hypotenuse, we would use the sine ratio:
Sin A = opposite/hypotenuse
Sin A = 4/6
sin A = 0.6667
\(A=sin^{-1}(0.6667)\)A = 41.8129 degrees
To the nearest hundredth, ∠A = 41.81°
I need a help with this hw
The values of the trigonometric ratios are: a) - 7/5, b) -75 c ) -1/5 d ) -25/12
What is trigonometric ratio?
Trigonometric ratios are measurements of the lengths of two sides of a triangle. There are three basic trigonometric ratios: sine, cosine, and tangent. Sine ratios are the ratios of the length of the side opposite the angle they represent over the hypotenuse
the give parameters are:
tanα = -4/3 where π/2 <α<π and sinβ = √3/2, 0<β<π/2
a) sin(α+β)
Using the trig ratios tan = opp/adj
but from pyth. rule, 4² + 3² = h²
16+9 = h²
h = √25 = 5
Now from trig Sin(α+β)
4/5 + 3/5
=- 7/5
b) cos(α+β)
cos = ad/hypo
4/5 + 3/5
= -7/5
c) Sin(α-β)
4/5 - 3/5
-1/5
d) tan(α-β)
= -4/3 - 3/4
= (-16 - 9)/ 12
-25/12
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For the past 50 days, daily sales of laundry detergent in a large grocery store have been recorded (to the nearest 10). Units sold Number of Times. 30 8 40 12 50 15 60 10 70 5 a). Determine the relative frequency for each number of units sold. Please show your work on EXCEL. b). Suppose that the following random numbers were obtained using Excel .12 .96 .54 .55 .66 .77 .88 .99 .33. 304894 Use these random numbers to simulate 10days of sales. Please show your work on EXCEL.
Answer:
The answer to this question can be described as follows:
Step-by-step explanation:
Please find the attachment