Answer:
$100
Step-by-step explanation:
What we know,
Howard has 3 times more money than RonaldIf Howard gives Ronald $50, Ronald will then have 3 times more money than HowardLet us assume that Ronald has $25, so Howard must have $75,
Now Howard gives $50 to Ronald, Now Ronald has $75,
Therefore our assumption is correct,
Therefore Ronald and Howard together will have $100.
A teacher wants to know students post-graduation plans. He surveys his homeroom class and learns that most students plan to become soldiers. The inference is valid or not valid
Based on the information provided, the inference that a significant number of students in the homeroom class plan to become soldiers is valid.
The teacher surveyed his homeroom class about their post-graduation plans. He found out that most of his students plan to become soldiers.
An inference is a conclusion that can be drawn from a given set of data. In this case, the inference that can be made is that a significant number of students in the homeroom class plan to become soldiers.Therefore, the inference is valid based on the data provided.
However, it is essential to keep in mind that the sample size in the homeroom class is relatively small and may not be representative of the entire population. If the teacher had surveyed a more extensive and diverse population, the results might have been different.
In conclusion, based on the information provided, the inference that a significant number of students in the homeroom class plan to become soldiers is valid. However, this may not apply to the entire population, and it is crucial to consider the sample size when drawing inferences.
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what is the multiple of the unit fraction 3/8
The multiple of the unit fraction 3/8 is 15/40.
What is fraction ?
A fraction is a number that represents a part of a whole. It is a way of representing a quantity that is not a whole number. Fractions are written with two numbers, one above the other and separated by a horizontal line. The number above the line is called the numerator, and the number below the line is called the denominator.
To find the multiple of a fraction, you simply multiply the numerator and the denominator by the same number. For example, to find the multiple of 3/8, you can multiply both the numerator and the denominator by 2:
3/8 * 2/2 = 6/16
So the multiple of 3/8 by 2 is 6/16.
Similarly, you can find the multiple of 3/8 by any other number by multiplying both the numerator and denominator by that number. For instance, if you want to find the multiple of 3/8 by 5, you can multiply both the numerator and the denominator by 5:
3/8 * 5/5 = 15/40
Therefore, the multiple of the unit fraction 3/8 is 15/40.
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A function is shown. ƒ (x) = 2x − 9
-
What is the value of ƒ (−4) ?
Answer: To find the value of ƒ (−4), we substitute −4 for x in the function ƒ(x) = 2x − 9:
ƒ(−4) = 2(−4) − 9
Performing the multiplication and addition, we get:
ƒ(−4) = −8 − 9
Thus, the value of ƒ(−4) is equal to −17.
Answer: ƒ (−4) = -17
Step-by-step explanation:
To find the value of ƒ (−4) we will substitute all values of x for -4 in the original function and simplify.
ƒ (−4) = 2x - 9
ƒ (−4) = 2(-4) - 9
ƒ (−4) = -17
60 − (7 + 4) × 5 what is the answer
Answer:
5
Step-by-step explanation:
Answer:
80
Step-by-step explanation:
because 7+4=28 x 5 =140-60=80
A regular deck of playing cards is well shuffled. Please answer the following questions. All answers should be in fraction form.
On a single draw, what would be the probability of drawing the Ace of Hearts?
On a single draw, what would be the probability of drawing an Ace?
On a single draw, what would be the probability of drawing a red card?
On a single draw, what would be the probability of drawing a face card? A face card is a Jack, Queen or King.
What would be the probability of not drawing an Ace?
On the first draw, the Ace of Hearts is removed and not replaced. What would the probability be that on the next draw you draw another Ace?
Answer:
1/52
4/52 == 1/13
13/52 == 1/4
12/52 == 6/26 == 3/13
48/52 == 12/13
3/51
It rained from 8:46 AM to 11:13 AM. How long was it raining?
Answer:
2 hours and 27 minutes
Answer:
2 hours and 27 mins
Step-by-step explanation:
Find the partial fraction decomposition of x^3-x / x^4+2x^2+1
The partial fraction decomposition of x³-x / x⁴+2x²+1 is x³ - x = 1/2/(x² + 1) + (-1/2)/(x² + 1)².
Describe Function?In mathematics, a function is a relationship between two sets of values, called the domain and the range, that assigns to each element of the domain exactly one element of the range. In other words, a function is a rule that takes an input value and produces an output value.
A function can be represented using various notations, such as f(x), g(x), or h(y), where the name of the function (f, g, h) indicates the rule or relationship, and the input variable (x or y) represents the element of the domain. The output variable is denoted by the value of the function, such as f(x) or g(x).
To find the partial fraction decomposition of the given expression, we first factor the denominator:
x⁴ + 2x² + 1 = (x2 + 1)²
Since the degree of the numerator is less than the degree of the denominator, we know that the partial fraction decomposition will have the form:
(x³ - x) / (x⁴ + 2x² + 1) = A/(x² + 1) + B/(x² + 1)²
where A and B are constants to be determined.
To find A, we multiply both sides of the equation by (x² + 1):
x³ - x = A + B(x² + 1)
Setting x = 0, we get:
0 = A + B
To find B, we differentiate both sides of the equation with respect to x:
3x² - 1 = 2B(x² + 1) + 2B(x² + 1)(2x)
Setting x = 0, we get:
-1 = 2B
So, we have:
A = -B = 1/2
Therefore, the partial fraction decomposition of x³-x / x⁴+2x²+1 is:
x³ - x = 1/2/(x² + 1) + (-1/2)/(x² + 1)²
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HELP PLEASE will mark brainliest
Eighteen middle-aged women with platelet readings between 120,000 platelets per microliter and 150,000 platelets per microliter of blood were selected randomly from the population of similar female patients at a large local hospital. Nine of the 18 women were assigned randomly to group A and received a placebo. The other nine women were assigned to group B and received a new platelet drug. After four months, posttreatment platelet readings were taken for all 18 women and were compared with pretreatment readings. The reduction in platelet level (Pretreatment reading − Posttreatment reading) for each woman in the study is shown here.
Group A (placebo) increase (in platelets per microliter): 2,000, 5,000, 7,050, 10,125, 12,345, 17,350, 13,250, 12,200, 9,125
Group B (platelet drug) increase (platelets per microliter): 28,450, 23,438, 36,380, 12,450, 16,100, 21,350, 39,400, 41,000, 14,325
Create and interpret a 95% confidence interval for the difference in the placebo and the new drug.
The blood platelet count is an illustration of normal distribution,
Approximately 95% of the data lies within 2 standard deviations of the mean.
There are approximately 99.7% of women with platelet count between 65.2 and 431.8.
Given parameters are:
μ = 248.5
σ = 61.1
(a) The percentage within 2 standard deviation of mean or between 126.3 and 370.7,
Start by calculating the z-score, when x = 126.3 and x = 370.7
Z = x-μ / σ
Therefore,
Z = 126.3-248.5/61.1
Z = -2
Also,
Z = 370.7-248.5/61.1
Z = 2
The empirical rule states that:
Approximately 95% of the data lies within 2 standard deviations of the mean.
Hence, there are approximately 95% of women with platelet count within 2 standard deviations of the mean.
(b) The percentage with platelet count between 65.2 and 431.8
Start by calculating the z-score, when x = 65.2 and x = 431.8
Z = 65.2-248.5/61.1
Z = -3
And,
Z = 431.8-248.5/61.1
Z = 3
The empirical rule states that:
Approximately 99.7% of the data lies within 3 standard deviations of the mean.
Hence, there are approximately 99.7% of women with platelet count between 65.2 and 431.8.
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Name three collinear points.
Answer:
D, G and F or I, G and J------------------------
Collinear points are the points on the same line.
There are two lines in the diagram.
The collinear points:
D, G and F on one lineI, G and J on the second lineThe points that are collinear are D,G and E and another set of points which are collinear are L,G and J.
The points which lie on the same straight line are known as collinear points.
Similarly, if three or more number of points are collinear then they form a straight line.
If we observe the figure, the points D,G and E are collinear points as they are on same line.
Similarly the points L, G and H are in the straight line which makes them collinear.
Therefore , the points L,G and J are collinear points.
Hence, the points that are collinear are D,G and E and another set of points which are collinear are L,G and J
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Given m ∥ n, find the value of x.
given that m is parallel to n,
the angle opposite (2x + 16)° is also (2x + 16)° as vertically opposite angles are equal.
using the corresponding angle rule we know that:
2x + 16 = 96
2x = 80
so x = 40
marian has a savings account with $21,390 if she earns $4,100 per month, what is the maximum she can spend on a house?
The answer is: 4100x + 21390
We need to know the number of months Marian wants to save to get the specific value.
Step-by-step explanation:
In the equation, we will need to calculate the maximum amount of money Marian can spend on the house.
We can calculate the maximum amount of money Marian can spend on a house by multiplying her monthly income by the number of months she would want to save.
Solve the problem:Marian earns $4,100.00 per month
Suppose Marian wants to save for x months, then the maximum amount that she can spend on the house is:
4100 * x + 21390
Draw the conclusion:The answer is: 4100x + 21390
We need to know the number of months Marian wants to save to get the specific value.
Hope this helps!
what is the equation of a line that passes through the points (2,5) and (4,3)
The equation of a line that passes through points (2,5) and (4,3) is
y = -x+7.
Finding the equation of a line:
First, we need to find out the slope for the given points.
(X1,Y1) = (2,5)
(X2,Y2) = (4,3)
formula for slope(m) = \(\frac{Y2 - Y1}{X2 - X1}\)
substitute the points in the above formula
\(\frac{3 - 5}{4 - 2}\) = \(\frac{-2}{2}\)
\(\frac{-2}{2}\) = -1
slope for the given points(m) = -1.
m = -1
The equation of a line is y-y1 = m(x-x1), where x and y are variables.
substituting the values in the above equation then :
y-5 = -1(x-2)
y-5 = -x+2
y+x = 2+5
x+y = 7
y = -x+7
Therefore, the equation of the line passing through the points (2,5) and (4,3) is y = -x+7
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Sita Rahim drove due north for 3 hours at 46 miles per hour. From the
same spot, Yasmina Young drove due south for 2 hours at 43 miles per
hour. How far apart were they after their trip?
Answer:
224 miles
Step-by-step explanation:
What you would do is take the 3 hours times the 46 mph to get 138 miles.
3*46=138
Next, multiply the 2 hours by the 43 mph to get 86 miles.
2*43=86
Lastly, you're going to add the two.
138+86=224 miles.
Whats x solve 1/3x-2/3=-18
Answer:
\(x=-52\)
Step-by-step explanation:
multiple everything by 3 to get rid of the fractions
\(3(1/3x-2/3=-18)\\1x-2=-54\\\)
rewrite
\(x-2=-54\)
add 2 to both sides
\(x-2+2=-54+2\\x=-52\)
Answer:
\(x=-52\)
Step-by-step explanation:
\(\frac{1}{3} x-\frac{2}{3} =-18\)
Add \(\frac{2}{3}\) to both sides of the equation:
\(\frac{1}{3} x=-18 +\frac{2}{3}\)
Simplify \(-18+\frac{2}{3}\) by multiplying \(-18\) in fraction form \(-\frac{18}{1}\) to get a common denominator so you can add the two fractions:
\(-\frac{18}{1}\) × \(\frac{3}{3}=-\frac{54}{3}\)
Now add the two fractions:
\(-\frac{54}{3} +\frac{2}{3} =-\frac{52}{3}\)
Now write the simplified equation:
\(\frac{1}{3} x=-\frac{52}{3}\)
Divide both sides of the equation by the coefficient of \(x\), which is \(\frac{1}{3}\):
\(x=-\frac{52}{3}\) ÷ \(\frac{1}{3}\)
Use the reciprocal of the dividend (\(\frac{1}{3}\)), and multiply by your divisor:
\(x=-\frac{52}{3}\) × \(\frac{3}{1}\)
\(x=-\frac{156}{3}\)
Simplify the fraction by dividing \(-156\) into \(3\):
\(x=-52\)
Which graph correctly represents the information from the table?
Time (s) Speed (m/s)
0 0
2 4
3 6
4 8
6 12
Answer:
A.
Step-by-step explanation:
A and C are the only graphs it could be because they are the only graphs starting with (0, 0)
Graph C does not have (2, 4) on it but Graph A does meaning that the only possible answer is Graph A
Answer:
Yes, ( A )would be the correct answer
Step-by-step explanation:
Took the test.
A project team assesses their primary risk factor's probability of failure with a maturity risk of 0.3, a complexity risk of 0.7, and a dependency risk of 0.8. The probability of failure is:
a. Greater than 0.3 but less than or equal to 0.55.
b. Greater than or equal to 0.9.
c. Greater than 0.56 but less than or equal to 0.89.
d. Less than or equal to 0.3.
Answer:
b. Greater than or equal to 0.9.
Step-by-step explanation:
We have three types of risks, that can make the project fail independently.
The probability of failure have to be calculated as the complement of the probability of success, and the probability of success is the probability of avoiding each of the risks.
The probability of avoiding each of the risks is the complementary probability of each risk. For example, the probability of avoiding the maturity risk (0.3) is 1-0.3=0.7.
Then, we can calculate the probabilty of success as:
\(P_s=(1-P_{mr})(1-P_{cr})(1-P_{dr})\\\\P_s=(1-0.3)(1-0.7)(1-0.8)\\\\P_s=0.7\cdot 0.3\cdot 0.2\\\\P_s=0.042\)
Then, the probability of failure is the complementary of the probability of success:
\(P_f=1-P_s\\\\P_f=1-0.042=0.958\)
The probability of failure is Pf=0.958
ANSWER FAST PLEASE!!!!!!!!!
Answer:
The domains are the X's, so 5, 3, 4, and 2
Step-by-step explanation:
Sarah has been an exemplary employee! The library has given her a 5% raise in recognition of
her hard work. If Sarah normally has a net salary of $212.50, what will Jessica’s net salary be now?
Remember, you calculated that 15% of Sarahs gross salary is withheld each week.
The correct value of Jessica's new net salary will be $225.
To calculate Jessica's new net salary after a 5% raise, we need to first determine Sarah's gross salary. We know that Sarah's net salary is $212.50, and 15% of her gross salary is withheld each week.
Let's denote Sarah's gross salary as "G." We can set up the following equation:
G - 15% of G = $212.50
Simplifying the equation, we have:
G - 0.15G = $212.50
0.85G = $212.50
G = $212.50 / 0.85
G ≈ $250
Sarah's gross salary is approximately $250.
Now, to find Jessica's new net salary after a 5% raise, we can calculate 5% of Sarah's gross salary and subtract the withheld amount:
Jessica's net salary = Sarah's gross salary + 5% of Sarah's gross salary - 15% of Sarah's gross salary
Jessica's net salary = $250 + 0.05 * $250 - 0.15 * $250
Jessica's net salary = $250 + $12.50 - $37.50
Jessica's net salary = $225
Therefore, Jessica's new net salary will be $225.
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an area that is 21 metre wide and 9 metre long is divided evenly into squares . what the greatest possible side length the squares that the area can be evenly divided into
Answer:
47 squares
Step-by-step explanation:
Looking at your question was quite confusing.
So, I'll assume that you're looking for the amount of squares that can fit within the specified area.
To find area: we would do A = L x W
So, our values are 21W and 9L.
Plug it in.
A = 21 x 9
A = 189 square meters
Then, we would find the number of squares that could fit in the area.
A square meter is a square with a side length of 1 meter on each side.
So, 1 x 4 = 4
Divide 189 by 4.
189/4 = 47.25
1/4 is the remainder.
So, our total is 47 squares.
Do please, tell me if I did it incorrectly, since the context is quite vague.
The dot plot shows the number of touchdowns a football team scored in 10 games
Answer:
Step-by-step explanation:
5
Which points lie on the graph of f(x) = loggx?
Check all that apply.
Step-by-step explanation:
f(x)=log(x)
=d(log(x)/dx)
=>y=1/x
Write a Quadratic function in vertex form y - alx - h)2 + k that when compared to the parent function y * *? has the following Transformations.
No reflection over the x axis, shift right 9 units and has a vertical compression by a factor of 0.14.
Answer:
(02.02 HC)
The boxes described below have the same volume but different dimensions and surface area. Describe
the relationship between the surface area and the volume of a cell. Analyze the data and explain why cell
shapes can be beneficial.
future: a day, a week, or even a few months from now.
short-term goal
long-term goal
intermediate goal
specific goa
A circle has a diameter of 24 in what is the circumference pi is 3.14
Answer:
The circumference of a circle is calculated using the formula: C = πd, where C represents the circumference and d represents the diameter of the circle.
In this case, the diameter of the circle is given as 24 inches.
Using the formula, we can substitute the values:
C = πd
C = 3.14 * 24
C ≈ 75.36 inches
Therefore, the circumference of a circle with a diameter of 24 inches (and using π = 3.14) is approximately 75.36 inches.
Step-by-step explanation:
Draw the net and calculate the surface area .
Hello!
surface area
= 2(4 x 2) + 2(12 x 4) + 2(12 x 2)
= 160cm²
Please answer ASAP.
Thank you
answer:
25, 62, 34,53
hoped this helped (i tried to put the 5,2,4,and 3 on top but didnt look right)
let me know if it did
Fred works as an
underwater photographer. He
starts at a depth of 20 feet
ascends 9 feet descends 12
feet, and then ascends 15 feet
more. What is Fred's location
underwater?
Step-by-step explanation:
so he already down 20 ft so he ascends (goes up) 9 feet, so hes at 11 feet right now. then he descends 12 (goes down) feet so hes at 23 feet. lastly he ascends 15 feet (goes up) more. so the answer is 8
Answer the questions below. I need answer for letter (c)
Answer:
C is the answer, please choose the letter C that's the answer
Algebra find the value of x in each figure .
Answer:
x= 54°
Step-by-step explanation:
43 + x - 7 = 90°
36 + x = 90°
x= 90-36
x= 54°
Answer:
54
Step-by-step explanation:
90-43 = 47
x-7 = 47
x=47+7
x = 54
Marie noticed that she was eating 2100 calories per day she began a diet and limited herself to 1300 calories per day. What is the percent of decrease? Round to the nearest percent.
Answer:
decrease of 38% (to nearest percent)
Step-by-step explanation:
Percent change = [ (difference between final and initial value) ÷ initial value] x 100
⇒ percent change = [(2100 - 1300) ÷ 2100] × 100 = 38% (to nearest percent)
Of the 25 fish in a tropical fish tank, 10 are guppies, 4 are swordtails, and the rest are tetras. One fish is to be randomly selected from the fish tank. What is the probability that the fish selected will not be a guppy?