Answer:
x = 1.5
Step-by-step explanation:
3.6 = 2.4x
divide by 2.4 on both sides
you get 1.5
x = 1.5
Check it if u want
Answer:
x=1 1/2
Step-by-step explanation:
3.6 / 2.4 = x
Convert by factor:
3.6 = 1.2x3
2.4 = 1.2x2
3/2 = x
x = 1 1/2
Some nutritionists recommend that people eat 31,000 milligrams of fiber each day. The table shows the amount of fiber Jodi has eaten today. How many more grams of fiber does she need to get the recommended daily amount of fiber?
The amount of fiber Jodi needs to eat is 6000 milligrams or 6 grams if the nutritionists recommend that people eat 31,000 milligrams of fiber each day.
What is unit conversion?It is defined as the conversion from one quantity unit to another quantity unit followed by the process of division, and multiplication by a conversion factor.
We have:
Some nutritionists recommend that people eat 31,000 milligrams of fiber each day.
The total amount of fiber Jodi took = 19 + 4 + 2(1) = 25 grams
1 gram = 1000 milligrams
25 grams = 25000 milligrams
The amount of fiber she needs to eat
= 31000 - 25000
= 6000 milligrams
or
= 6 grams
Thus, the amount of fiber Jodi needs to eat is 6000 milligrams or 6 grams if the nutritionists recommend that people eat 31,000 milligrams of fiber each day.
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Let the random variable Q represent the number of students who go to a certain teacher office hour each day. The standard deviation of Q is 2.2. Which of the following is the best interpretation of the standard deviation?
a. On average, the number of students going to an office hour varies from the mean by about 2.2 students.
b. For a randomly selected office hour, the number of students who will go is 2.2.
с. For a randomly selected office hour, the number of students expected to go will vary from the mean by 2.2 students.
d. For a random selection of office hours, the average number of students expected to go is 2.2.
e. For a random selection of office hours, the E average number of students expected to go will vary from the mean by 2.2 students.
Answer:
A: On average, the number of students going to an office hour varies from the mean by about 2.2 students.
Step-by-step explanation:
We are given that:
- Random variable Q is used to represent the number of students who go to a certain teachers office hour each day.
-The standard deviation of Q is 2.2.
Now, standard deviation in relation to mean is defined as the statistic that measures the dispersion of a set of data relative to its mean.
Applying that definition to the question means that the number of students on the average varies from the mean by 2.2.
Thus, option A is correct.
Answer:
A: On average, the number of students going to an office hour varies from the mean by about 2.2 students.
Step-by-step explanation:
I second the person below me i got it right on asigmnemnt
Which Expressions are equivalent to:
3(2/3p + 3 - 1/3p - 5)
Picture is provided
Answer:
the answers are p - 6, 3 (1/3p + 3 - 5), and 3 (1/3p - 2)
Answer:
3 (1/3p+3-5), p-6, 3(1/3p-2)
Step-by-step explanation:
I did the iready quiz and got it correct.
517
Problem ID: PRABEEZS
x
X
Solve the system of equations:
y = 4x - 3
y = -2x+9
Write your answer in the following format:
(x,y)
with no spaces
Copied for free from openupresources.org
Type your answer below
Submit Answer
Answer:
(2, 5)
Step-by-step explanation:
Given the systems of equation
y = 4x - 3
y = -2x+9
Since both are y values, we will equate the right hand side of the equations
4x -3 = -2x+9
Collect the like terms
4x+2x = 9+3
6x = 12
x = 12/6
x = 2
Substitute x = 2 into any of the equation.
Using equation1;
y = 4x - 3
y = 4(2) - 3
y = 8 - 3
y = 5
Hence the solution to the system of equation is (2, 5)
The point (2,-4) is on the line given by which equation below?
Answer: (A) y=-2x
Step-by-step explanation:
Lets plug in the point (2,-4) for each equation.
-4=-2(2) this is correct
-4=2*2
-4=4 This cannot be true
-4=-2+3 =-4=1 This is false
Lastly, -4=2-4 this is false because -4 can't equal to -2.
So, A is the answer
consider the following data for two independent random samples taken from two normal populations. sample 1 10 7 14 7 9 7 sample 2 9 7 8 4 5 9
a. Compute the two sample means.
Sample 1: Answer 9
Sample 2: Answer 7
b. Compute the two sample standard deviation (to 2 decimals).
Sample 1: Answer 2.28
Sample 2: Answer 1.79
c. What is the point estimate of the difference between the two population means? Answer
d. What is the 90% confidence interval estimate of the difference between the two population means (to 2 decimals - - use 9 degrees of freedom)? Answer
C. The point estimate of the difference between the two population means is 2.
D. The 90% confidence interval estimate of the difference between the two population means is (1.748, 0.867)
Given that:
Sample 1 mean (x1) = 9
Sample 2 mean (x2) = 7
Sample 1 standard deviation (σ1^2) = 2.28
Sample 2 standard deviation (σ2^2) = 1.79
C. To find point estimate of the difference between the two population means.
sample mean(x1) - sample mean(x 2)
= 9 - 7
= 2
Therefore, point estimate = 2
D. To find 90% confidence interval estimate of the difference between the two population means
90% confidence for 't'
df = (n1 + n2) - 2
= 12-2
= 10
90% confidence with df = 10 is t
t = 1.812
point estimate + 1 - t * \(\sqrt{\frac{s^2_{1} }{n_{1} } + \frac{s^2_{2} }{n_{2} } }\)
2 + 1 - 1.812*\(\sqrt{\frac{2.28^2}{6} + \frac{1.79^2}{6} }\)
3 - 1.812 *\(\sqrt{0.866 + 0.534}\)
1.188 * 0.9305 + 0.7307
(1.748, 0.867)
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Does this table represent a function? Why or why not?
O
X
2
3
3
4
5
y
1
4
3
2
5
A. Yes, because there are different y-values.
B. Yes, because every x-value corresponds to exactly one y-value.
C.
No, because the y-values are positive.
D. No, because one x-value corresponds to two different y-values.
SUBMIT
The given table does not represent a function. The correct answer is D. No, because one x-value corresponds to two different y-values.
To determine if the table represents a function, we need to check if every x-value corresponds to exactly one y-value. Let's analyze the given table:
x | y
-------
O | 1
X | 4
2 | 3
3 | 2
3 | 5
4 |
5 |
From the table, we can see that the x-values are not unique. Both the values 3 and 4 appear twice in the x-column, but they have different corresponding y-values.
This violates the definition of a function, which states that each input (x-value) should have only one output (y-value).
Therefore, the given table does not represent a function.
The correct answer is D. No, because one x-value corresponds to two different y-values.
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bro please help. Im depressed because nobody will help me(true or false questions)
Factor the trinomial, or state that the trinomial is prime. Check your factorization using FOIL multiplication.
8x 2 + 10x - 3
Cómo despejar an
Sn= (a1 + an)/2 n
Step-by-step explanation:
The formula:
�
�
=
�
2
(
�
1
+
�
�
)
S
n
=
2
n
(a
1
+a
n
)
is used to solve for the sum of the arithmetic sequence given the first term a₁, the number of terms n, and the last term in an.
Example:
3, 6, 9, 12, 15,...,123
The first term, a₁ = 3
The last term an = 123
Common difference, d = 3 (because the sequence are multiples of 3)
Number of terms, n= ?
Find the number of terms, n:
an = a₁ + (n-1) (d)
123 = 3 + (n-1) (3)
123 = 3 - 3 + 3n
123/3 = 3n/3
n = 41
To find the sum of the given sequence without adding 3 + 6 + 9, ... + 123, we use the formula:
S₄₁ = (41/2) (3 + 123)
S₄₁ = (41/2) (126)
S₄₁ = (41)(63)
S₄₁ = 2,583 ⇒ the sum of the given sequence
Mike Danes has been delayed in going to the annual sales event at one of his favorite apparel stores. His friend has just texted him that there are only 20 shirts left, of which 8 are in size M, 10 in size L, and 2 in size XL. Also 9 of the shirts are white, 5 are blue, and the remaining are of mixed colors. Mike is interested in getting a white or a blue shirt in size L. Define the events A = Getting a white or a blue shirt and B = Getting a shirt in size L. a. Find P(A), P(A^c), and P(B). b. Are the events A and B mutually exclusive? Explain. c. Would you describe Mike's preference by the events A u B or A n B?
a) Probability of occurrence of evant A is equals to the 7/10.
P(not getting a white or a blue shirt), P(Aᶜ ) is equals the 3/10.
Probability of occurrence of evant B is equal to the 1/2.
b) The events A and B are not mutually exclusive
c) Mike's preference is to getting a white shirt with his size L.
We have a probabality based problem. Probability is defined as chance of occurrence of an event or result. It can be calculate as favourable outcomes divided by total possible outcomes. There is total number of avaliabile shirts = 20 i.e., total possible outcomes = 20
Mike is interested in getting a white or a blue shirt in size L. Let us consider two events :
A : Getting a white or a blue shirt
B: Getting a shirt in size L
a) Number of favourable outcomes to getting white or a blue shirt = 9 white or 5 blues
Probability ( Getting a white or a blue shirt) , P(A)
= 9/20 + 5/20 + 0 = 14/20 = 7/10
P(not Getting a white or a blue shirt), P(Aᶜ )
= 1 - P(A) = 1 - 7/10 = 3/10
ii) The number of favourable outcomes for event B, n(B) = 10
So, Probability of getting a shirt in size L, P(B)
= 10/20 = 1/2
b) Mutually exclusive events are defined as the events that can't happen at the same time. In other words AnB = 0 . Here, we see there is total 14 shirts which are in white or blue colors and 10 are in size L , So there is possibility that shirt is white or blue in colour and in size L , i.e, An B ≠0
So, events A and B are not mutually exclusive.
c) Event ,n( A u B )= n(A) + n(B) - n(A n B)
On the basis of all details, we conclude that Mike's preference is to choose white shirt with size L .
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If Loretta accidentally recorded a deposit of $47.88 as a debit in her register, by how much will her register differ from the bank statement?
If Loretta accidentally recorded a deposit of $47.88 as a debit in her register, her check register will differ from the bank statement by $0.
How is a deposit recorded in the check registered?A deposit amount is debited to the check register as an asset, increasing the amount the account holder has in the bank.
It is the bank's responsibility to credit the deposit since it is a liability to them, not an asset.
Under accounting principles, assets are debited while liabilities are credited. Loretta's debit entry in her register does not constitute an accounting error under the generally-accepted accounting principles.
Thus, Loretta has not committed an accounting error by recording a deposit of $47.88 as a debit in her register, and her register will not differ from the bank statement for this reason.
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PLEASE AM N MDDLE SCHOOL!
Calvin works at a pizza place making pizzas. If he is working alone, he can make an average of 15 3/4 per hour. If he works with his friend Megan, he tends to get distracted, and his rate falls by 1/2 per hour. How many pizzas can Calvin make in a 8- hour shift with Megan?
Explain the operations that will be needed to solve this problem, ans then solve it.
The fraction 1/2 converts to 0.50 in decimal form.
The mixed number 15 & 3/4 is the same as 15.75
If Calvin is distracted, then he makes 15.75-0.50 = 15.25 pizzas per hour on average.
Multiply by 8 to find the total number of pizzas possible.
8*15.25 = 122
Answer: Calvin can make 122 pizzas overall if he is distractedCalvin can make 122 pizzas in an 8-hour shift with Megan.
Since Calvin works at a pizza place making pizzas, and if he is working alone, he can make an average of 15 3/4 per hour, but if he works with his friend Megan, he tends to get distracted, and his rate falls by 1/2 per hour, to determine how many pizzas can Calvin make in a 8-hour shift with Megan, the following calculation must be performed:
Rate of pizzas made x number of hours = Total number of pizzas (15 3/4 - 1/2) x 8 = X (15.75 - 0.5) x 8 = X 15.25 x 8 = X 122 = X
Therefore, Calvin can make 122 pizzas in an 8-hour shift with Megan.
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15 pieces of candy are given to s students from a bag of candy containing 310 pieces. There are 10 pieces left over.
(s x 15) ÷ 10 = 310
(s + 15) = 310 ÷ 10
(310 − 10) ÷ 15 = s
310 ÷ (s + 15) = 10
Answer:
C. (310 − 10) ÷ 15 = s
Step-by-step explanation:
The correct answer is C. (310 − 10) ÷ 15 = s. This is because we can use the following steps to find the equation:
First, we need to find how many pieces of candy were given out in total. Since there are 10 pieces left over in the bag, and the bag originally contained 310 pieces, we can subtract 10 from 310 to get 300 pieces given out.
Next, we need to find how many pieces of candy each student received. Since 15 pieces of candy were given to s students, we can divide 300 by 15 to get the number of students. This gives us 20 students.
Finally, we need to write an equation that relates the number of students (s) to the number of pieces of candy given out (300) and the number of pieces of candy per student (15). We can do this by using the inverse operations of subtraction and division. We can multiply both sides by 15 and then add 10 to both sides to get the equation:
(310 − 10) ÷ 15 = s
This equation can be used to find the number of students if we know the number of pieces of candy in the bag, the number of pieces left over, and the number of pieces per student.
But wait, there's more! If you act now, you can also get a bonus question for free! Here it is:
If s students each received 15 pieces of candy, and there are 10 pieces left over in the bag, how many cavities will they have after eating all the candy?
There are a few possible ways to approach this question, but here is one:
- First, we need to find how many pieces of candy each student ate. Since they received 15 pieces each, and there are no leftovers, we can assume they ate all of them. So each student ate 15 pieces.
- Next, we need to find how many cavities each piece of candy causes. This may vary depending on the type and quality of the candy, but let's assume that each piece causes 0.1 cavities on average. This means that for every 10 pieces of candy, one cavity is formed.
- Finally, we need to multiply the number of pieces each student ate by the number of cavities each piece causes, and then add up all the results for all the students. This will give us the total number of cavities for the whole group. We can use this formula:
c = (15 × 0.1) × s
where c is the number of cavities and s is the number of students.
Using this formula, we can plug in the value of s that we found
c = 1.5 × 20
c = 30
✧☆*: .。. That's all folks, have fun with math! (✧ω✧) .。.:*☆✧
Eric was attempting to construct a perpendicular bisector to the segment AB with a
compass and straight edge. Which of the below statements explains what Eric may
have done wrong?
Erick just needed to open the compass more to create arcs that have a radius of more than half the length of the segment AB. Option C
Steps in constructing a perpendicular bisectorThe steps involved in constructing a perpendicular bisector are:
Draw a line segment XY of any appropriate length. Take a compass, and with X as the center and with more than half of the line segment XY as widthDraw arcs above and below the line segment.Repeat the same step with Y as the center.Label the points of intersection as 'P' and 'Q'Thus, Erick just needed to open the compass more to create arcs that have a radius of more than half the length of the segment AB. Option C
The complete question
Eric was attempting to construct a perpendicular bisector to the segment AB with a compass and straight edge. Which of the below statements explains what Eric may have done wrong?
a. Eric should have started by putting the compass needle point at the midpoint of the segment AB.
b. On the second step, Eric should have placed the compass needle point where the first arc intersected the segment AB.
c. Erick just needed to open the compass more to create arcs that have a radius of more than half the length of the segment AB.
d. Erick didn’t do anything wrong he just needs to connect the opposite endpoints of each arc to finish the construction.
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Write and solve an equation to find the value of x.
The value of x for each item is given as follows:
28. x = 5.
29. x = 3.44.
How to obtain the value of x in each item?For item 28, we apply the crossing chord theorem, which states that the products of the parts of the chords are equal, hence the value of x is obtained as follows:
16x = 10 x 8
16x = 80
x = 5.
For item 29, we apply the two secant theorem, hence the value of x is obtained as follows:
10(x + 10) = 12(12 + 25)
10x + 100 = 444
10x = 344
x = 3.44.
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evaluate piecewise functions
Answer:
17
Step-by-step explanation:
h(17) is falling under the top condition of:
h(t) = √17t as t = 17So the answer is:
h(17) = √17*17 = 17h(17) = 17Jaclyn plays a game of chance. Each play is independent. Each time that she plays, the probability that she wins is .3. She plays 16 times. What is the probability that she will win exactly 2 times
Answer:
8
Step-by-step explanation:
The probability that Jaclyn wins exactly 2 times is 0.073
What is binomial probability?Binomial probability is the probability of exactly x successes on n repeated trials in an experiment with two possible outcomes. If the probability of success on an individual trial is p, then the binomial probability is ⁿCₓ⋅pˣ⋅(1−p)ⁿ⁻ˣ. Here ⁿCₓ indicates the number of different combinations of x objects selected from a set of n objects.
Given here:
She plays 16 times and the probability of her winning is 0.3
Thus applying the formula we get
= ¹⁶C₂× 0.3²× 0.7¹⁴
= 120×0.09×0.7¹⁴
=0.073
Hence, The probability that Jaclyn wins exactly 2 times is 0.073
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Which equation represents a proportional relationship?
A) y=5
B) x=3
C) y=2x+3
D) y=1/4x
Answer:
c! I had the same one in my class I'm pretty sure I was right
(can you make me brainleist I need to level up)
It is given that m ∠ AOB = 42 ∘ and m ∠ EOF = 66 ∘ . By the ___________, ∠ EOF ≅ ∠ BOC . Therefore, m ∠ BOC = 66 ∘ . By the ________ , m ∠ AOC = 108 ∘ , and by ________ the , m ∠ AOC + m ∠ COD = 180 ∘ . After application of the ___________, m ∠ COD = 72 ∘ .
The required appropriate properties to fit the black space is given as,
(a) Congruent angles
(b) Addition of angles
(c) straight angles
(d) Subtraction of angles.
Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.
It is given that m ∠ AOB = 42 ∘ and m ∠ EOF = 66 ∘ . By the definition of congruent angles, ∠ EOF ≅ ∠ BOC. Therefore, m ∠ BOC = 66 ∘ . In the addition, m ∠ AOC = 108 ∘ , and by definition of the straight angle, m ∠ AOC + m ∠ COD = 180 ∘ . After application of the subtraction of the angle, m ∠ COD = 72 ∘ .
Thus, the required appropriate properties to fit the black space is given as,
(a) Congruent angles
(b) Addition of angles
(c) straight angles
(d) Subtraction of angles.
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Answer:
It is given that m∠AOB = 42º and m∠EOF = 66º. By the vertical angles theorem, ∠EOF ≅ ∠BOC. By the angle addition postulate, m∠AOC = 108º, and by the linear pair theorem, m∠AOC + m∠COD = 108º. After the application of the subtraction property of equality, m∠ COD = 72º.
Step - by - step
first box: vertical angles theorem
second box: angle addition postulate
third box: linear pair theorem
fourth box: subtraction property of equality
I’ll give points + brainalist for correct answer (:
Answer:
Step-by-step explanation:
i belive its 3
Answer:
the person above me stole my answer
Ok I got anther question what is 10 times 4 my brother says it is 20 but it is 40 who is correct I no I am so who ever answers get 10 points
Answer:
4x 10 =40
10
10
10
+10
-----------
40
Which shows the mixed number for 13/3?
4 1/3 or
1 3/3 or
4 2/3
Answer:
Answer vary :
4 1/3
Step-by-step explanation:
Identify the independent and dependent variables for the function described below.
A farmer has determined that if x pounds per 100 ft2 of fertilizer is used, then the
crop yield y (in bushels) is y = -.0171x2 + 1.0765x + 3.8939.
The number of crop yields in bushels is dependent variable and quantity of fertilizer used in the field is independent variable
The given function is
y = \(-0.0171x^2\) + 1.0765x + 3.8939
Where y is the number of crop yields in bushels
x is the quantity of fertilizer used in the field
The independent variable is defined as the variable that its values will not affect by other variables. Similarly the dependent variable is defined as the variable that its values depends on other variable
The given function is
y = \(-0.0171x^2\) + 1.0765x + 3.8939
Here the number of crop yields in bushels affect the value of the quantity of fertilizer used in the field, therefore it is a dependent variable
The quantity of fertilizer used in the field does not affected by any other variable, therefore it is an independent variable
Hence, the number of crop yields in bushels is dependent variable and quantity of fertilizer used in the field is independent variable
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Find the slope of the straight line that passes through (–2, –4) and (3, –5).
A. m= -1/5
B. m = –1
C. m = 1/5
D. m = 1
\(\large\boxed{\textsf{A.}\ m=-\frac{1}{5}}\)
We can use the slope formula, where our points are \((x_1,y_1)\) and \((x_2,y_2)\):
\(\dfrac{y_2-y_1}{x_2-x_1}\)
This is also known as "rise over run" because it represents the change in vertical (\(y\)) position divided by the change in horizontal (\(x\)) position.
Substitute the values from the points given:
\(\dfrac{(-5)-(-4)}{3-(-2)}\)
Subtract:
\(\boxed{\dfrac{-1}{5}}\)
Please someone help its calculus and i need #2! Its finding instantaneous rate of change!
Answer:
\(\displaystyle 5\)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
Terms/CoefficientsFactoringFunctionsFunction NotationCalculus
Limits
Limit Rule [Variable Direct Substitution]: \(\displaystyle \lim_{x \to c} x = c\)
Derivatives
Derivative Notation
Instantons Rate of Change
Step-by-step explanation:
Step 1: Define
Identify
f(x) = 2x² + x - 1
x = 1
Step 2: Find Change
Substitute in variables [Instantaneous Rate of Change]: \(\displaystyle \lim_{x \to 1} \frac{f(x) - f(1)}{x - 1}\)Substitute in function: \(\displaystyle \lim_{x \to 1} \frac{2x^2 + x - 1 - [2(1)^2 + 1 - 1]}{x - 1}\)Simplify: \(\displaystyle \lim_{x \to 1} \frac{2x^2 + x - 1 - 2}{x - 1}\)Combine like terms: \(\displaystyle \lim_{x \to 1} \frac{2x^2 + x - 3}{x - 1}\)Factor: \(\displaystyle \lim_{x \to 1} \frac{(x - 1)(2x + 3)}{x - 1}\)Simplify: \(\displaystyle \lim_{x \to 1} (2x + 3)\)Evaluate limit [Limit Rule - Variable Direct Substitution]: \(\displaystyle 2(1) + 3\)Simplify: \(\displaystyle 5\)Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Derivatives
Book: College Calculus 10e
Is the relationship a linear function?(0,-1), (1,5),(2,11),(3,17)
Answer: Yes
Step-by-step explanation: x goes up by 1 each time and y goes up by 5 each time, making the function linear.
You buy a new graphing calculator for $125. Graphing calculators hold their value very well, and only depreciate
at a rate of 0.5% per year. How much will your calculator be worth in 5 years when you are done using it in
college?
Depreciation formula :
Amount x (1-rate)^time
125 x (1-0.005)^5
124 x 0.995^5 = 121.91
Answer: $121.91
Is this equation proportional or non-proportional? How do you know? y = 7x - 3
Answer:
Step-by-step explanation:
This is not proportional.
There are two ways you can tell
The y intercept must be 0. In this equation, the y intercept is -3y/x should be the same for all correct values of y given x.Examples
x = 3
y = 18
y/x = 6
x = 2
y = 11
y/x = 11/2 = 5.5