Answer:
I think the answer is the third one, not sure though. because I think if you take them out of the parenthesis then their signs will change.
Gina is making bags of trail mix for hiking club. She will use 20 ounces of walnuts, 11.2 ounces of almonds, and 28.3 ounces of cashews. This amount makes 25 bags of trail mix. How many ounces are in each bag?
Answer:
Step-by-step explanation:
20 oz walnuts = 20/25 = 0.8 ounces of walnuts per bag. / bag
11.2 oz of almonds = 11.2 / 25 = 0.448 ounces of almonds / bag
28.3 oz of cashews = 28.3 / 25 = 1.132 oz of cashews / bag
find the truth set of 2x-6≤5(3-x)
Answer:
x∈(-∞,3]
Step-by-step explanation:
2x-6<=5*3-5x
2x-6<=15-5x
+5x +5x
7x-6<=15
+6 +6
7x<=21
:7 :7
x<=3
x∈(-∞,3]
Write the sentence as an equation.
the quotient of t and 218 is equal to 156
Answer:
t/218 = 156
Step-by-step explanation:
someone help me pls i need an answer
There's no picture or question; please link a picture/file next time you want to ask a question on here without typing.
What's the question?
Will Mark Branliest for Best Answer!! Plz Help!
A juggler throws a ball from an initial height of 4 feet with an initial velocity of 30 feet per second. The height h (in feet) of the ball can be modeled by h=−16t2+vt+s where t is the time (in seconds) the ball has been in the air. v is the initial velocity and s is the initial height.
Write an equation that gives the height (in feet of the ball since it left the juggler's hand. )
Answer:h=16+2+vt +s
Step-by-step explanation:
A sample of adults was asked to choose their favorite sport to watch from a list of four sports. Age Range 18-30 31-50 51 Total Sport Football 15 19 17 51 Baseball 7 12 18 37 Basketball 15 8 11 34 Soccer 12 9 6 27 Total 49 48 52 149 What proportion of those surveyed chose basketball as their favorite sport? StartFraction 34 Over 149 EndFraction StartFraction 15 Over 49 EndFraction StartFraction 18 Over 52 EndFraction StartFraction 37 Over 149 EndFraction
The proportion of those surveyed who chose basketball as their favorite sport is 34.149 (option a)
Let's denote the proportion of adults who chose basketball as their favorite sport as P(Basketball). To calculate P(Basketball), we need to divide the total number of adults who chose basketball by the total number of surveyed adults. Mathematically, it can be represented as:
P(Basketball) = (Number of adults who chose basketball) / (Total number of surveyed adults)
To calculate the number of adults who chose basketball, we sum up the values from the age range categories:
Number of adults who chose basketball = Number of adults (18-30) who chose basketball + Number of adults (31-50) who chose basketball + Number of adults (51 and above) who chose basketball
Looking at the table, we find that the number of adults (18-30) who chose basketball is 15, the number of adults (31-50) who chose basketball is 8, and the number of adults (51 and above) who chose basketball is 11. Adding these values together, we get:
Number of adults who chose basketball = 15 + 8 + 11 = 34
Now, let's calculate the total number of surveyed adults. We can sum up the values from the age range categories:
Total number of surveyed adults = Total number of adults (18-30) + Total number of adults (31-50) + Total number of adults (51 and above)
From the table, we find that the total number of adults (18-30) is 49, the total number of adults (31-50) is 48, and the total number of adults (51 and above) is 52. Adding these values together, we get:
Total number of surveyed adults = 49 + 48 + 52 = 149
Now, we have the values we need to calculate the proportion:
P(Basketball) = (Number of adults who chose basketball) / (Total number of surveyed adults)
= 34 / 149
Hence the correct option is (a).
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Graph a line with a slope of 2 that goes through the point (4, 8).
To graph a line, plot two points on the line.
Answer:
Step-by-step explanation:
the amount of dr. pepper dispensed by a soda machine is normally distributed with a mean of 31.0 oz and a standard deviation of 1.50 oz. if the cups hold 32.0 oz, what is the probability that a randomly selected cup will be overfilled?
The probability that a randomly selected cup will be overfilled is approximately 0.2514 or 25.14%.
Describe Probability?It is expressed as a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event. A probability of 0.5 (or 50%) means that the event is equally likely to occur or not to occur.
We need to find the probability that the amount of Dr. Pepper dispensed will be greater than 32.0 oz, which can be written as:
P(X > 32.0)
where X is the amount of Dr. Pepper dispensed by the machine.
We can standardize this value by subtracting the mean and dividing by the standard deviation:
P(Z > (32.0 - 31.0) / 1.50)
Simplifying this expression gives:
P(Z > 0.67)
Using a standard normal table or calculator, we can find that the probability of a standard normal random variable being greater than 0.67 is approximately 0.2514.
Therefore, the probability that a randomly selected cup will be overfilled is approximately 0.2514 or 25.14%.
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Rose wants to solve the equation (15z + 6.8) = 5(4+0.7z).
She uses a graphing program to graph the equations y=(15z +6.8) and y = 5(4+
0.7x).
Use the graph to find the solution of (15z +6.8)=5(4+0.7z).
4.15
38.675
34.525
The equation does not have a solution.
CLEAR CHECK
The equation does not have a solution.
Option D is the correct answer.
We have,
To find the solution of the equation (15z + 6.8) = 5(4 + 0.7z) using the graph, we need to determine the x-value (or z-value in this case) where the two lines intersect.
Based on the given options, we can observe that the equation does not have a solution.
This can be determined by looking at the graph of the two equations.
If we graph the equations y = (15z + 6.8) and y = 5(4 + 0.7z),
We will see that the lines do not intersect.
This means there is no common value of z that satisfies both equations simultaneously.
Therefore,
The equation does not have a solution.
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Given an activity's optimistic, most likely, and pessimistic time estimates of 2, 5, and 14 days respectively, compute the PERT expected activity time for this activity.
Group of answer choices 9 5 7 6
The PERT expected activity time for this activity is 6 days.
To compute the PERT (Program Evaluation and Review Technique) expected activity time, we can use the formula:
Expected Time = (Optimistic Time + 4 * Most Likely Time + Pessimistic Time) / 6
Using the given values, we have:
Optimistic Time = 2 days
Most Likely Time = 5 days
Pessimistic Time = 14 days
Substituting these values into the formula:
Expected Time = (2 + 4 * 5 + 14) / 6
Expected Time = (2 + 20 + 14) / 6
Expected Time = 36 / 6
Expected Time = 6
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The temperature dropped 6°C every hour for 8 hours. What was the total number of degrees the
temperature changed in the 8 hours?
Answer:
it dropped 48 degrees Celsius (c) in 8 hours
Step-by-step explanation:
6x8=48
to examine the effectiveness of two types of interventions for anxiety, researchers randomly assigned participants to a 12-week course of cognitive-behavioral therapy, a 12-week mindfulness-based stress reduction program, or a waitlist control group. the researchers administered a standardized measure of anxiety to participants before and after the interventions or waitlist period. in this experiment, what is the dependent variable?
The dependent variable in this experiment is the level of anxiety as measured by a standardized measure of anxiety before and after the interventions or waitlist period.
What is the dependent variable about?The dependent variable in this experiment is the standardized measure of anxiety that was administered to participants before and after the interventions or waitlist period.
The dependent variable is what is being measured or observed to determine the effectiveness of the two interventions (cognitive-behavioral therapy and mindfulness-based stress reduction program) for anxiety.
Therefore, The researchers are trying to find out how the interventions affect anxiety, so anxiety levels are the outcome or result of the intervention and therefore the dependent variable.
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Write b^12 as a quotient form b^m/b^n in two different ways. Use only positive exponents.
One answer is m = 14 and n = 2
Another answer is m = 15 and n = 3
There are infinitely many possible combos
==============================================
Explanation:
The rule is
(b^m)/(b^n) = b^(m-n)
We subtract the exponents.
Since we want b^12, this means m-n = 12
Pick any combo of m & n such that they subtract to 12
Here are two combos
m-n = 14-2 = 12
m-n = 15-3 = 12
what is an equation of a parabola with the given vertex and focus vertex:(0,0); focus: (2.5,0)
The equation of a parabola with a vertex at (0,0) and a focus at (2.5,0) is \(y^2 = 10x\). This equation represents a parabola that opens to the right. The vertex of the parabola is the point (0,0), which is the lowest point on the curve.
The focus is located at (2.5,0), which is half the distance from the vertex to the directrix. The directrix of the parabola is the line x = -2.5, parallel to the y-axis. The parabola is symmetric with respect to the y-axis, and its shape is determined by the distance between the vertex and the focus.
In the equation \(y^2 = 10x\), the coefficient of x determines the width of the parabola. A larger coefficient results in a narrower parabola, while a smaller coefficient results in a wider parabola. The coefficient of x is 10 in this case, indicating a relatively narrow parabola. The equation can be graphed by plotting points that satisfy the equation and connecting them to form the parabolic curve.
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Perimeter is 25 cm, find x 10 8.2 cm
The diagram shows a regular octagon and an equilateral triangle joined together.
AB and BC are two sides of a regular polygon.
How many sides does this polygon have?
The sides of a regular polygon are equal.
The new polygon has 9 sides.
From the question, we understand that;
The octagon and the equilateral triangle are joined together.
When both shapes are joined, they both lose one sides, each.
This means that, the octagon becomes 7-sided, while the triangle becomes 2-sided.
So, the number of sides (n) of the resulting shape is:
\(n = 7 + 2\)
\(n = 9\)
Hence, the shape has 9 sides.
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1000 cylindrical metal bars of length 120 m and diameter 0.2 m , as shown below, are to be used in constructing a bridge. He bars needs to be painted with a rust proof paint (including the ends). One litre of paint will cover 4m^3. Calculate the number of litres of paint (tothe nearest litre) for 1000 bars.
Answer:
the number of of litres of paint to the nearest litre for 1000 bars is 1 litre
Step-by-step explanation:
Given that:
1000 cylindrical metal bars have :
a length of 120 m
and a diameter of 0.2 m
The volume of the cylindrical bar can be calculated by the formula:
\(V= \pi r^2 h\)
where ;
radius \(r=\dfrac{d}{2}\)
\(r = \dfrac{0.2}{2}\)
r = 0.1 m
the length of the cylindrical metal bars is equal to the height of the metal bar = 120 m
Thus the volume can now be calculated as follows:
\(V= \pi* 0.1^2*120\)
V = 3.77 m³
So; from the given information.
One litre of paint will cover 4m³
and we want to find how many litres of paint will be used for the 1000 cylindrical bars.
If 1 litre = 4m³
Then x litre = 3.77 m³
4x = 1 × 3.77
\(x = \dfrac{1*3.77 }{4}\)
x = 0.9425 litres
x = 1 litres to the nearest litres.
Thus ; the number of of litres of paint to the nearest litre for 1000 bars is 1 litre
help me plsssssssss
Answer: 13. 30
Step-by-step explanation:
13. Area = 18x * 10y = 180xy
Length = 6th
With ?
180xy = 6xy x width
180 x/6xy
Width = 30
14. 3^(9-5)= 3^4 = 81 the truck weighs 81 times as the driver
3^5
solve the inequality.
|7x-5| < -3
Answer:
no solution
Step-by-step explanation:
3<7x−5<−3
Answer:
No solution
Step-by-step explanation:
The absolute value function is always positive or 0
A scatter plot showed a positive correlation for 11 bowlers. As the number of strikes, s, a bowler made in a game increased, the number of points, p, the bowler scores also increased. The equation for the line of best fit for the data is p=25s+40. Estimate the number of strikes made by a bowler with 140 points.
Answer:
s = 4
Step-by-step explanation:
The equation for the line of best fit for the data is p=25s+40.
Where p is no. of points and s is no. fo strikes
We need to find the number of strikes made by a bowler with 140 points.
Put p = 140
p=25s+40
140 = 25s+40
Subtract 40 to both sides,
140-40 = 25s+40-40
100 = 25s
⇒ s = 4
So, there are 4 strikes made by a bowler with 140 points.
suppose that y1,y2,...,yn denote a random sample of sizenfrom a normal distribution with mean μand variance 1. consider the first observation as an estimator forμ.ashow thaty1is an unbiased estimator forμ.bfindp(|y1−μ|≤1).clook at the basic definition of consistency given in definition 9.2. based on the result ofpart (b), isy1aconsistentestimatorforμ?
a) Since y1 is the first observation in the random sample, its expected value is equal to the population mean μ.
b) To find the probability of |y1 - μ| ≤ 1, we can use the standard normal distribution. Since the sample is drawn from a normal distribution with mean μ and variance 1, we know that y1 follows a normal distribution with mean μ and variance 1/n
We can calculate the probability as follows:
p(|y1 - μ| ≤ 1)
= p(-1 ≤ y1 - μ ≤ 1)
= p(-1 ≤ (y1 - μ)/√(1/n) ≤ 1)
= p(-√n ≤ √n(y1 - μ) ≤ √n)
= p(-√n ≤ z ≤ √n)
Here, z is a standard normal random variable. Using the properties of the standard normal distribution, we can find the probability as p(-√n ≤ z ≤ √n) = 2Φ(√n) - 1, where Φ is the cumulative distribution function of the standard normal distribution.
c) Based on the result of part (b), we can see that as n increases, the probability p(|y1 - μ| ≤ 1) approaches 1. This indicates that y1 is a consistent estimator for μ according to the basic definition of consistency.
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Prepare a frequency table of the following scores obtained by 40 students in a
test:
24,16,17,30,28,20,15,24,16,18,18,15,16,20,25,24,25,20,16,15,18,25,20,18,28,27
,25,24,24,18,18,25,20,16,25,20,27,28,28,16.
This contains 20 points please help me quick
Answer:
Element Frequency Cumulative Frequency
15 3 3
16 6 9
17 1 10
18 6 16
20 6 22
24 5 27
25 6 33
27 2 35
28 4 39
30 1 40
Step-by-step explanation:
Find out how many times an element(data value) appears. That will be the frequency(column 2). The cumulative frequency is the total of all frequencies prior to that element plus the current element frequency
Cumulative frequency for first element is same as its frequency
Cumulative frequency for element 16 is 3 + 6 = 9
Cumulative frequency for element 17 = 3 + 6 + 1 = 9 + 1=10. Basically it is the sum of the previous element cumulative frequency + the current frequency
Given g(x) = -2x + 5, find g(-4).
Answer:
13
Step-by-step explanation:
Substitute x with -4
g(-4) = -2(-4) + 5
= 8 + 5
=13
Xavier can swim at a constant speed of 9 meters in 3 seconds. He is trying to qualify for the National Swim Meet. To qualify, he must complete a 60 meter race in 23 seconds. Will Xavier be able to qualify? Why or why not?
As 3 m/s > 2.61 m/s, We can conclude that Xavier can qualify for the National Swim Meet as his speed is more than the required qualifying speed.
What is speed?The distance travelled by an object in relation to the amount of time it takes to travel that distance can be used to define speed. To put it another way, it is a measurement of how quickly an object is moving, but it does not provide direction. The term "velocity" refers to the combination of direction and speed.
Science allows for the calculation of speed. The speed formula, which derives from science, is used to compute various types of speed. The speed formula is
Speed = Distance/Time
Xavier's speed = 9/3 m/s
= 3 m/s
Qualifying speed = 60/23 m/s
= 2.61 m/s
As 3 m/s > 2.61 m/s, We can conclude that Xavier can qualify for the National Swim Meet as his speed is more than the required qualifying speed.
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The lines represented by the equations 20y-24x=-20y and 5y-6x=-5 are
a) perpendicular
b) the same line
c) neither parallel nor perpendicular
d) parallel
Answer:don’t listen to the other guy he’s wrong. The answer is the same line.
Step-by-step explanation:
20y-24x=-20 add 24x to both sides
20y=24x-20
Divide 20 to all
New equation is
Y=5/6x-1
Now let’s solve for 5y-6x=-5
Add 6x to both sides
5y=6x-5
Divide 5 to all
The new equation is
Y=6/5x-1
As you see they have the same equation so the answer is that the lines are the same :) have a good day guys hope this helped <3
Grandma is planning to host Thanksgiving this year. She recently bought a new table and needs to make sure everyone will fit around it. The perimeter of the table is 350 inches. Each of her fancy place settings is 30 inches wide, which includes a buffer zone so people do not hit elbows. How many people can she comfortably sit at this new table?
Answer:
about 15-20 people
Step-by-step explanation:
The perimeter of the rectangle below is 104 units. Find the length of side QR.
Write your answer without variables.
S
R
2y - 1
QR = 0
Х
P
3y + 3
Answer:
length of side QR = 19 units
Step-by-step explanation:
Perimeter of a rectangle = (2 × length) + (2 × breadth)
length = side PQ = side SR = 3y + 3
breadth = side QR = side SP = 2y - 1
》2×(3y + 3) + 2×(2y - 1) = 104
》(6y + 6) + (4y - 2) = 104
10y + 4 = 104
10y = 104 - 4 = 100
y = 100/10
y = 10
Length of side QR = 2y - 1
= 2(10) - 1
= 20 - 1
= 19 units
I don't know how to do whatever this is
Answer: y values in order: 2, 1, 0.5
Step-by-step explanation:
Just take the x values and put them in place of the x in the above equation.
As for -1, you're flipping 0.5 over to a fraction of 1/0.5, which equals 2, so that's the first y value.
*This is because any negative exponent gets the number in the denominator with 1 in the numerator, then the denominator can change depending on the value of the exponent
For 0, anything to the power of 0 is 1, so that's the second y value.
And then for 1, the number doesn't change, so just put 0.5 in the third y-value.
Also I see it says for you to sketch a graph, in this case the picture I have showing is what the graph would look like
Hope this helps at least :)
Analyzing Speed Yohan Blake ran the 100-meter race in the 2012 Olympics in 9.75 seconds. Compare the speeds if he ran the 200-meter race in 19.5 seconds. round to the nearest hundredth.
Answer:
The two speeds are equal
Step-by-step explanation:
The speed is the distance divided by the time
100 meters / 9.75 seconds = 10.25641026 meters per second
Rounded to the nearest hundredth 10.26 meters per second
200 meters / 19.5 seconds = 10.25641026 meters per second
Rounded to the nearest hundredth 10.26 meters per second
The two speeds are equal
\(\sf{\bold{\blue{\underline{\underline{Given}}}}}\)
⠀Analyzing Speed Yohan Blake ran the 100-meter race in the 2012 Olympics in 9.75 seconds.⠀⠀⠀he ran the 200-meter race in 19.5 seconds. round to the nearest hundredth.\(\sf{\bold{\red{\underline{\underline{To\:Find}}}}}\)
Compare the speeds⠀⠀⠀⠀\(\sf{\bold{\purple{\underline{\underline{Solution}}}}}\)
⠀
we know that,
\(\boxed{\sf{speed=\dfrac{distance}{time}} }\)
In the 100-meter race in the 2012 Olympics he takes 9.75 sec
speed=100/9.75speed =10.2564...speed=10.26BUTTT,
he ran the 200-meter race in 19.5 seconds.
speed=200/19.5speed=10.2564..speed=10.26According to the question,
we have to compare the speed
100-meter race in the 2012 Olympics he takes 9.75 sec=200-meter race in 19.5 seconds.10.26=10.26the speeds are equal⠀⠀⠀
\(\sf{\bold{\green{\underline{\underline{Answer}}}}}\)
The two speeds are equal of Yohan Blake.
A square lot is to be planted with santan piants all around. The side of the lot measures 10 m. If plants will be planted 20 cm apart, how many plants must be planted in all?
The number of plants needed is 200. The perimeter of the lot is 40 m and the distance between plants is 0.2 m.
The perimeter of the square lot is 4 times the length of one side, or 4 * 10 m = 40 m.
Each plant will be placed 20 cm apart, which is 0.2 m.
To find the number of plants needed, we divide the perimeter of the lot by the distance between each plant:
Number of plants = perimeter/distance between plants
Number of plants = 40 m / 0.2 m
Number of plants = 200
Therefore, 200 Santan plants must be planted in all.
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