The fraction of the cans in George’s pantry which are either soup or vegetables is 11/24.
What fraction of the cans in George’s pantry are either soup or vegetables?Fraction of cans in George‘s pantry that are vegetables = 1/8
Fraction of cans in George‘s pantry that are soups = 1/3
Fraction of the cans in George’s pantry which are either soup or vegetables = 1/3 + 1/8
= (8+3) /24
= 11/24
Hence, 11/24 is the fraction of the cans in George’s pantry that are either soup or vegetables.
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the dice was thrown 35 times and following numbers were obtained prepare frequency table51423266142545361526254132141626333
This table shows the frequency of each number obtained after throwing the die 35 times
How to prepare frequency tableTo prepare a frequency table based on the numbers obtained from throwing a die 35 times, we can list the numbers from 1 to 6 and count the frequency of each number.
Numbers: 1, 2, 3, 4, 5, 6
Frequency: 5, 14, 6, 4, 5, 1
Based on the given numbers, the frequency table would look like this:
Number | Frequency
1 5
2 14
3 6
4 4
5 5
6 1
This table shows the frequency of each number obtained after throwing the die 35 times.
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emily has $100 extra to spend on supplies for her T-shirt-making business. she wants to buy ink, i, which costs $8 a bottle, and ne brushes, b, which are $18 each. which inequality below represents this scenario?
(c) 15i + 4b ≥ 100 inequality represents this scenario.
To represent the scenario described in the problem, we need to use an inequality that relates the amount of money Emily spends on ink and brushes to the total amount of money she has available. Let's call the amount of ink Emily buys "x" and the number of brushes "y". Then the total amount of money she spends is:
Total cost = 8x + 18y
We want to know when this total cost is less than or equal to $100, so we can write:
8x + 18y ≤ 100
This inequality means that the total cost of ink and brushes must be less than or equal to the amount of money Emily has available. Therefore, the answer is (c) 15i + 4b ≥ 100.
Correct Question :
Emily has $100 extra to spend on supplies for her T-shirt-making business. She wants to buy ink, i, which costs $8 a bottle, and ne brushes, b, which are $18 each. Which inequality below represents this scenario?
a) 4i+100 ≤ 15b
b) 15i + 4b ≤ 100
c) 15i + 4b ≥ 100
d) 4i + 15b ≤ 100
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P=x-2 ÷ x+1 for whar value of x is P equal to zero
Answer:
x = 2
Step-by-step explanation:
P = \(\frac{x-2}{x+1}\)
P will equal zero when the numerator is equal to zero , that is
x - 2 = 0 ( add 2 to both sides )
x = 2
P = 0 when x = 2
f(x)=2x1 + 16x2 + 7x3 + 4x4 -> min
Step-by-step explanation:
f(x)=(2x-1)square=0
it can be 0 or greater than 0
Hence,maximum value of (2x- 1)square=0
maximum value of (2x- 1square)+3=0+3=3
Please awnser asap I will brainlist
The element of A n B is { 7, 8}
What is set?A set is the mathematical model for a collection of different things; a set contains elements or members, which can be mathematical objects of any kind.
For example, if the element of P is even numbers from 1 to 20 and element of Q is factor of 6 from 1 to 20 then we can say that set Q is a subset of set P.
The sign 'n' means intersection and this means what is common to two or more set.
If set A = { 1,2,5,7,8}
set B = { 6,7,8,9}
then we can see that 7 and 8 are common to both sides, then
A n B = { 7,8}
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Suppose sam deposited 1000$ every month in the beginning for his retirement fund for 20 years at 5% compounded monthly. What is value of N
To find the value of N, we need the future value of the retirement fund. If you provide the desired future value, I can calculate the exact value of N.
To find the value of N, we need to calculate the number of monthly deposits Sam made for his retirement fund over 20 years.
Sam deposited $1000 every month for 20 years, which is a total of 20 x 12 = 240 deposits. Each deposit has a compounded interest rate of 5% per year, compounded monthly.
The formula to calculate the future value of a series of monthly deposits is given by:
FV = P * [(1 + r)^n - 1] / r
Where:
FV is the future value of the investment,
P is the monthly deposit amount,
r is the monthly interest rate, and
n is the number of deposits.
In this case, P = $1000, r = 5% / 12 = 0.05 / 12 = 0.00417 (monthly interest rate), and FV is the value of the retirement fund after 20 years.
By rearranging the formula, we can solve for n:
n = log((FV * r) / (P * r + FV)) / log(1 + r)
Plugging in the values, we get:
n = log((FV * 0.00417) / (1000 * 0.00417 + FV)) / log(1 + 0.00417)
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3=54/t
please can you tell me how t find t
Answer:
t=18
Step-by-step explanation:
3=54/t
times both sides by t
3t=54
then divided by 3 on both sides to get t by itself
t=54/3
to simplify this it's
t=18
Which function has an inverse that is a function? b(x) = x2 + 3d(x) = –9m(x) = –7xp(x) = |x|
Answer: \(m(x)=-7x\)
Step-by-step explanation:
All linear functions have inverses that are also functions.
How many times can 1/5 go into nine
Answer:
1.8
Step-by-step explanation:
(6-2x) +(15-3x) where x=0.2
\( \sf{\blue{«} \: \pink{ \large{ \underline{A\orange{N} \red{S} \green{W} \purple{E} \pink{{R}}}}}}\)
Expression: \(\displaystyle\sf (6-2x) +(15-3x)\)
Substituting \(\displaystyle\sf x=0.2\):
\(\displaystyle\sf (6-2(0.2)) +(15-3(0.2))\)
Simplifying the expression inside the parentheses:
\(\displaystyle\sf (6-0.4) +(15-0.6)\)
\(\displaystyle\sf 5.6 +14.4\)
Calculating the sum:
\(\displaystyle\sf 20\)
Therefore, \(\displaystyle\sf (6-2x) +(15-3x)\) evaluated at \(\displaystyle\sf x=0.2\) is equal to \(\displaystyle\sf 20\).
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
The two-way table represents data from a survey asking schoolchildren whether they are attending a summer camp, taking swimming lessons, or both.
A 4-column table with 3 rows. The first column has no label with entries swimming lessons, no swimming lessons, total. The second column is labeled camp with entries 42, 18, 60. The third column is labeled no camp with entries 32, 4, 36. The fourth column is labeled total with entries 74, 22, 96.
Which is the joint relative frequency for school children who plan to attend camp and have swimming lessons? Round the answer to the nearest percent.
4%
19%
33%
44%
The joint relative frequency for school children who plan to attend camp and have swimming lesson is 44%.
The correct option to the given question is option d.
We are required to find the joint relative frequency for school children who plan to attend camp and have swimming lessons, rounded to the nearest percent.
To find the joint relative frequency, we use the formula as follows:
Joint relative frequency = frequency of interest / total frequency
Joint relative frequency for school children who plan to attend camp and have swimming lessons = 42 / 96
(As we are looking for the students who plan to attend camp and have swimming lessons, we are interested in the first column of the table and the entry at the intersection of the first row and second column.)
Joint relative frequency for school children who plan to attend camp and have swimming lessons = 0.4375
Joint relative frequency for school children who plan to attend camp and have swimming lessons (rounded to the nearest percent) = 44%(option d).
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cm
5 cm
5.8 cm
6.3 cm
8 cm
Lateral Surface Area =
cm squared
Total Surface Area =
cm squared
Volume
cm cubed
I will give you brainlest
PLZ HURRY IT'S URGENT!!!
Petrucio has $50 to spend on entertainment. Music downloads are $2.00 each and movie downloads are $5.00 each. What possible combinations can Petrucio buy? SELECT ALL THAT APPLY
options:
8 songs and 6 movies
20 songs and 2 movies
4 songs and 10 movies
7 songs and 8 movies
Answer:
*20 Songs and 2 Movies
*8 Songs and 6 movies
Step-by-step explanation:
Use the substitution u = 9x2 + 8 to find the following indefinite integral Check your answer by differentiation '18x sin (9x2 + 8) 18x sin (9x2 + 8) dx=
The value of the given indefinite integral is found to be: y = -cos (9x² + 8) + c.
Explain about the indefinite integral?A function that accepts the antiderivative of that other function is said to take an endless integral. Visually, it is shown as an integral indicator, a function, and finally a dx. It is simpler to represent taking the antiderivative using the indefinite integral.The given integral is;
y = ∫18x sin (9x² + 8) dx
Put u = 9x² + 8
Then, on differentiation
18x dx = du
substitute the values:
y = ∫ sin (u) du.
y = -cos u
Put u = 9x² + 8
y = -cos (9x² + 8) + c
c is the constant of integration.
Thus, the value of the given indefinite integral is found to be: y = -cos (9x² + 8) + c.
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We are told that the data is representative of the two populations (U.S. males aged 20-29 years and U.S. males aged 75+ years), and we will assume that researchers collected random samples. The samples are very large; therefore, the conditions are met for use of the T-test. Using StatCrunch, we find a T-score of 5.3 and a P-value of "< 0.0001." What can we conclude? Group of answer choices The data prove that, in the U.S., young men weigh about 4.9 kgs more on average than old men. The data suggest that young men weigh more on average than old men in the U.S., but that the difference in mean weights for the two groups is not statistically significant. The data provide strong evidence that young men weigh more on average than old men in the U.S. no conclusion is possible because we did not specify a significance level
Answer:
The data provide strong evidence that young men weigh more on average than old men in the U.S
Step-by-step explanation:
Given :
The null hypothesis ; H0 : μ1 = μ2
The alternative hypothesis ; H1 : μ1 > μ2
T score = 5.3 ; Pvalue = < 0.0001
The decision region :
If Pvalue < α ; We reject the Null
If Pvalue > α ; We fail to reject the Null
When the α - level isn't stated, we usually assume a α - level of 5%
However, even at lower alpha level of 1% = 0.01 ;
The Pvalue < α
Hence, we can conclude that there is significant evidence that there is difference in the mean weight of young men and old men in the U.S
Rectangle LMNO is reflected over the x-axis to create rectangle L'M'N'O'. If a line segment is drawn from point M to point M', which statement would best describe the relationship between segment M M prime and the x-axis? They are diameters of concentric circles. They share the same midpoints. They are perpendicular to each other. They share the same endpoints.
Answer:I am pretty sure the answer is
C. "They are perpendicular to each other."
Step-by-step explanation:
For a shape to be reflected, it must be reflected across a line.
The true statement about the relationship between segments M, M' and the x-axis is that (c) they are perpendicular to each other
Given that:
Shape: rectangle LMNOReflection line: x-axisWhen the shape is reflected across the x-axis, we have the following perpendicular and congruent lines
L x-axis and L' x-axis M x-axis and M' x-axis N x-axis and N' x-axis O x-axis and O' x-axisHence, the relationship between segments M, M' and the x-axis is that (c) they are perpendicular to each other
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Can I please get some help with this math question
Answer:
\( \frac{2}{5}x = \frac{7}{20}x + \frac{1}{4} \)
\( -\frac{3}{4} = -\frac{1}{20}x - \frac{1}{2} \)
Step-by-step explanation:
Given,
\( -\frac{3}{4} + \frac{2}{5}x = \frac{7}{20}x - \frac{1}{2} \)
There are two possible ways to start solving for the value of x.
✔️The first is, add both sides by ¾
\( -\frac{3}{4} + \frac{2}{5}x + \frac{3}{4} = \frac{7}{20}x - \frac{1}{2} + \frac{3}{4} \)
\( \frac{2}{5}x = \frac{7}{20}x + \frac{1}{4} \) (-½ + ¾ = ¼)
This equation represents the first possible way to begin with.
✔️The second is subtract both sides by ⅖x
\( -\frac{3}{4} + \frac{2}{5}x - \frac{2}{5}x = \frac{7}{20}x - \frac{1}{2} - \frac{2}{5} \)
\( -\frac{3}{4} = \frac{7}{20}x - \frac{2}{5}x - \frac{1}{2} \)
\( -\frac{3}{4} = \frac{7 - 8}{20}x - \frac{1}{2} \)
\( -\frac{3}{4} = -\frac{1}{20}x - \frac{1}{2} \)
This equation represents another way to start.
Given f(x) = 1/2 (3 - x) ^ 2, what is the value of f(15)?
If Given f(x) = 1/2 (3 - x) ^ 2 , the value of f(15) is 72.
What is function?
In mathematics, a function is a relationship between two sets of elements, called the domain and the range, such that each element in the domain is associated with a unique element in the range. In simpler terms, a function is a set of rules that takes an input value and produces a corresponding output value.
The given function is:
f(x) = 1/2 (3 - x)²
To find the value of f(15), we need to substitute 15 for x in the function:
f(15) = 1/2 (3 - 15)²
Here, we subtract 15 from 3 to get -12 in the parentheses, and then we square it to get 144. We can simplify the expression further by multiplying 144 by 1/2, which gives us 72:
f(15) = 1/2 (144)
f(15) = 72
Therefore, the value of f(15) is 72.
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Jack leaves home for school on his bike every day at 6 a.m., travelling at 32 km/h.
One day he forgot his homework, which his mother discovered in the car 15 minutes after he had left.
She immediately left home and chased after Jack, travelling at 52 km/h.
At what time did she catch up to him?
What would the height need to be for this curve to be a density curve?
1/5
1/4
1/2
1
For a curve to be a density curve, it must meet certain conditions such as it should be non-negative, and the area under the curve should equal 1. Furthermore, the curve should be continuous and smooth, and there should be no values outside the range of the data.
Let's see how the height would need to be for this curve to be a density curve.A density curve is a statistical representation of the distribution of a dataset or population. Density curves are used to describe the distribution of continuous data and provide a visual representation of the likelihood of an event occurring within a specific range of values. It helps to determine the proportion of data that falls within a given range of values. A density curve is used to provide a graphical representation of data without showing the individual data points.To be a density curve, a curve must have the following properties:The curve should be non-negative.The area under the curve should be equal to 1.The curve should be smooth and continuous.There should be no values outside the range of the data.From the above properties, we can conclude that the height required for a curve to be a density curve depends on the data that the curve represents. As long as the curve meets the above conditions, it can be considered a density curve. So, there is no specific height required for a curve to be a density curve. The height of the curve can vary depending on the range of the data and the distribution of the data.For such more question on properties
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Find the value of x.
If x + y = 5, then x =
1. 5y
2. 5+y
3. 5 - y
help anyone like asap plss
Answer: G. (-6,4), (3,5), (2,2) and (-5,1) just look where the dot plot is and you with know the answer.
Step-by-step explanation: Hope this help :)
Use the distributive property to multiply (3w + 5)(–2w – 7).
-6w^2+31w+35
6w^2-21w-35
-6w^2-31w-35
6w^2-21w+30
Answer:
\(=-6w^2-31w-35\)
Step-by-step explanation:
Apply Foil.
\(\left(3w+5\right)\left(-2w-7\right)=3w\left(-2w\right)+3w\left(-7\right)+5\left(-2w\right)+5\left(-7\right)\)
\(=3w\left(-2w\right)+3w\left(-7\right)+5\left(-2w\right)+5\left(-7\right)\)
\(=-6w^2-31w-35\)
The mean monthly salary of female employees of a company is 3750 Birr, while the mean monthly salary of male employees is 4500 Birr. It is known that the mean monthly salary of male and female employees combined is 4000 Birr. a) What is the ratio of the number of female employees to male employees? b) What percentage of employees are females?
 Hey guys, I would really appreciate if one of you help me with this question
Answer: 28.25%
Step-by-step explanation:
113/400=0.2825=28.25%
Let f(x) = v= -6 and g(x) = 22 +5.(fog)(x) =m(gof)(x) =
Ok, so
Given:
\(\begin{gathered} f(x)=\sqrt[]{x}-6 \\ g(x)=x^2+5 \end{gathered}\)We want to find (fog)(x) and (gof)(x).
First, let's find (fog)(x).
This is:
\((fog)(x)=f(g(x))=f(x^2+5)\)So we're going to evaluate f in (x2 + 5).
\(f(x^2+5)=\sqrt[]{x^2+5}-6\)Now, let's find (gof)(x). This is:
\((gof)(x)=g(f(x))=g(\sqrt[]{x}-6)_{}\)So we're going to evaluate g in the function f.
\(g(\sqrt[]{x}-6)=(\sqrt[]{x}-6)^2+5\)
There are 54 girls on the playground. There are 25 fewer boys than girls on the playground. How many kids are on the playground?
Answer:
83 kids total
Step-by-step explanation:
There are 54 girls on the playground. There are 25 fewer boys than girls on the playground. How many kids are on the playground?
girls = 54
boys = 54 - 25 = 29
54 + 29 = 83 kids total
kids that are on the playground are 83.
What is the sum?Merging objects and identifying them since one big bunch is done through addition. In arithmetic, addition is the technique of adding two or more integers together. The product can meet are the quantities that are included, and the outcome of the operation, or the final response, is referred to as the sum.
The total number of girls that are present is 54
The data given is that there are
25 fewer boys taht are4 present
The total number of boys will be
boys = 54 - 25 = 29
The number of kids that are present will be the total of boys and girls that are present.
Kids = boys + girls
54 + 29 = 83 kids total
The quantity of kids that are present in the playground is 83.
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Choose the correcr definition of (n k) from below
PLEASE HELP DUE SOON!
I'm so confused, help determine the 100th line segment from question below!
Answer:
20200
Step-by-step explanation:
As you're in a hurry, I can give it later? xx