Oliver needs to earn $55 from lifeguarding to balance his budget for June.
How much money does he need to earn lifeguarding to balance his budget?To balance his budget, Oliver needs to make sure that his total income matches his total expenses. From the given table, we can see that the total expenses for June are:
Expenses
Amusement park: $85
Giving to charity: $20
Saving for a new skateboard: $10
Total: $115
And his total income so far is:
Income
Lifeguarding: $0
Allowance: $20
Pet sitting: $40
Total: $60
To find out how much he needs to earn lifeguarding to balance his budget, we can use the equation:
Income = Expenses
Substituting the values we have, we get:
0 + 20 + 40 + Lifeguarding = 85 + 20 + 10
Simplifying and solving for Lifeguarding, we get:
Lifeguarding = 85 + 20 + 10 - 20 - 40
= $55
Therefore, Oliver needs to earn $55 from lifeguarding to balance his budget for June. We can complete the table as follows:
Income
Lifeguarding: $55
Allowance: $20
Pet sitting: $40
Total: $115
Expenses
Amusement park: $85
Giving to charity: $20
Saving for a new skateboard: $10
Total: $115
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complete the proof, word bank at the bottom HELP PLEASE LOL
Given: ∠VYZ≅∠YWX, m∠VZY+m∠ZYX=180°
Prove: △ZVY∼△XYW
Answer:
Step-by-step explanation:
3) Definition of supplementary angles
4) Consecutive interior angles converse
5) Alternate interior angles
6) AA similarity
Let S be the part of the plane 2x+4y+z=2 which lies inthe first octant, oriented upward. Find the flux of the vectorfield
F=1i+1j+2k across the surface S
The flux of the vector-field F = 1i + 1j + 2k across the surface S is 2. We find out the flux of the vector-field using Green's Theorem.
Define Green's Theorem.Flux form of Green's Theorem for the given vector-field
φ = ∫ F.n ds
= ∫∫ F. divG.dA
Here G is equivalent to the part of the plane = 2x+4y+z = 2.
and given F = 1i + 1j + 2k
divG = div(2x+4y+z = 2) = 2i + 4j + k
Flux = ∫(1i + 1j + 2k) (2i + 4j + k) dA
φ = ∫ (2 + 4 + 2)dA
= 8∫dA
A = 1/2 XY (on the given x-y plane)
2x+4y =2
at x = 0, y = 1/2
y = 0, x = 1
1/2 (1*1/2) = 1/4
Therefore flux = 8*1/4 = 2
φ = 2.
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Rewrite the power as a product of powers (2ax)^3
The power can be re written as a product of (2ax)^3 as (2ax *2ax* 2ax ).
What is product and power?Product can be described as the multiplication operation of two or more terms so that another term can be gotten just like the one that is been given in the question that we were asked to rewrite.
Power serves as the degree that is been found on the terms , the degree that can be on the term is 3, then this can be expressed in three terms which will be done below.
Therefore, the given expression (2ax)^3 can be rewritten as (2ax *2ax* 2ax )
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do students who learned english and another language simultaneously score worse on the sat critical reading exam than the general population of test takers? the mean score among all test takers on the sat critical reading exam is 501. a random sample of 100 test takers who learned english and another language simultaneously has a mean sat critical reading score of 485 with a standard deviation of 116. do these results suggest that students who learn english as well as another language simultaneously score worse on the sat critical reading exam
Therefore, while these results do suggest that there may be a difference in SAT Critical Reading scores between students who learned English and another language simultaneously and the general population, further research is needed to understand the extent and causes of this difference.
Based on the information provided, it seems that students who learned English and another language simultaneously score lower on the SAT Critical Reading exam than the general population of test takers. The mean score of the general population is 501, while the mean score of the sample of 100 test takers who learned English and another language simultaneously is 485. This is a difference of 16 points, which could be considered statistically significant.
However, it is important to note that the standard deviation of the sample is quite high at 116. This suggests that there is a lot of variability in the scores of students who learned English and another language simultaneously, which could be due to a variety of factors such as differences in language proficiency or educational background.
Therefore, while these results do suggest that there may be a difference in SAT Critical Reading scores between students who learned English and another language simultaneously and the general population, further research is needed to understand the extent and causes of this difference.
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The results do not provide sufficient evidence to suggest that students who learn English and another language simultaneously score worse on the SAT critical reading exam than the general population of test takers.
We will use the terms: mean, standard deviation, sample size, and hypothesis testing.
Mean score among all test takers: 501
Mean score of the bilingual students' sample: 485
Standard deviation of the bilingual students' sample: 116
Sample size: 100.
To determine if bilingual students score worse on the SAT critical reading exam, we will conduct a hypothesis test.
Formulate the hypotheses
Null hypothesis (H0):
Bilingual students' mean score = General population mean score
Alternative hypothesis (H1):
Bilingual students' mean score < General population mean score
Calculate the test statistic
Test statistic = (Sample mean - Population mean) / (Standard deviation / sqrt(Sample size))
Test statistic = (485 - 501) / (116 / sqrt(100))
Test statistic = -16 / 11.6
Test statistic ≈ -1.38
Determine the critical value and significance level
We'll use a one-tailed test with a significance level (α) of 0.05. Using a standard normal (Z) table, the critical value is -1.645.
Compare test statistic to critical value
Since our test statistic (-1.38) is greater than the critical value (-1.645), we fail to reject the null hypothesis.
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Rewrite 4x 5 2/4 as the product of a unit fraction and a whole number
The expression can be written as the product of the unit fraction 1/2 and the whole number \(2x^5\). To rewrite \(4x^5 2/4\)as the product of a unit fraction and a whole number, we need to simplify the fraction first. 2/4 can be reduced by dividing both the numerator and denominator by 2, which gives 1/2. So, we have 4x^5 * 1/2.
To express this as the product of a unit fraction and a whole number, we can rewrite 1/2 as the fraction 1 divided by 2. Then, we can divide 4x^5 by 2 to get 2x^5. So, we have:
\(4x^5 * 1/2 = 2x^5 * (1/2)\)
Therefore, the expression can be written as the product of the unit fraction 1/2 and the whole number \(2x^5.\)
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Calculate the BMI of an 118-lb adult who is 5 feet 4 inches tall.
Answer:
Logic - BMI formula
703*(lbs/inches^2)
703(118/64^2)=703(118/4096)
703*0.0288=20.2464
The BMI of an 118-lb adult who is 5 feet 4 inches tall is approximately 20.25.
BMI stands for Body Mass Index.
It's a measure of body fat based on height and weight that applies to both adult men and women.
BMI is an easy-to-perform screening tool for body fat levels that can help identify individuals who have health risks linked with excess body fatness.
It's important to keep in mind that the BMI measurement should not be used as a diagnostic tool for health conditions and is only one component in an overall evaluation of a person's health status.
Using the formula below, we can calculate the BMI of an 118-lb adult who is 5 feet 4 inches tall: BMI = (weight in pounds / (height in inches x height in inches)) x 703
First, we need to convert the height into inches:5 feet 4 inches = 64 inches
Next, we plug the values into the formula and solve for the BMI:
BMI = (118 / (64 x 64)) x 703BMI = (118 / 4,096) x 703BMI = 0.0288 x 703BMI = 20.2464
Therefore, the BMI of an 118-lb adult who is 5 feet 4 inches tall is approximately 20.25.
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Which of the following algebraic represents shows a dilation that is an enlargement ?
The algebraic representation that shows a dilation that is an enlargement is (5/2 x,5/2 y). (Option D)
A dilation is a type of transformation that changes the size of the shape or object. It refers to a process of changing an object’s size by decreasing or increasing its dimensions by a scaling factor. A dilation produces an image that has the same shape as the original image but is a different size.
A dilation that results in a larger image is called an enlargement while a dilation that generates a smaller image is called a reduction. A dilation is described using the scale factor and the center of the dilation (which is a fixed point in the plane).
For a scale factor > 1, the image is an enlargement; for a scale factor < 1 and > 0, the image is a reduction; and for a scale factor = 1, the figure and the image are congruent. Hence, for a point (x,y), algebraic representation that shows a dilation that is an enlargement is (5/2 x,5/2 y) as the scale factor is greater than 1. For the remaining options, the scale factor is between 0 and 1, hence they are reduction.
Note: The question is incomplete. The complete question probably is: Which of the following algebraic representation shows a dilation that is an enlargement? A) (1/3 x,1/3 y) B) (0.1x, 0.1y) C) (5/6 x,5/6 y) D) (5/2 x,5/2 y)
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what number is equivalent to the expanded form shown below (2 x 100) + (3 x 1) + (4 x 1/10) + 3 x 1/1,000)
(2×100)+(3×1)+(4×1/10)+(3×1/1000)
200+3+0.4+0.003
203.401
Please give me brainliest
The equivalent number is, 203.403.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expanded form of an number is,
⇒ (2 x 100) + (3 x 1) + (4 x 1/10) + 3 x 1/1,000)
Now, We can write the number as;
⇒ (2 x 100) + (3 x 1) + (4 x 1/10) + (3 x 1/1,000)
⇒ 200 + 3 + 0.4 + 0.003
⇒ 203.403
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Bob is interested in examining the relationship between the number of bedrooms in a home and its selling price. After downloading a valid data set from the internet, he calculates the correlation. The correlation value he calculates is only 0.05What does Bob conclude? A)Bob gives up on his research becauser=.05 means there is no relationship of any kind between bedrooms and selling price. B) Bob continues his research because even though there is no linear relationship here, there could be a different relationship.
Bob continues his research because even though there is no linear equation relationship between the number of bedrooms and selling price, there could be another type of relationship.
Bob continues his research because even though the correlation value he calculated between the number of bedrooms and the selling price was only 0.05, this does not necessarily mean that there is no relationship of any kind between these two variables. It simply means that there is no linear relationship between the two. There could still be other types of relationships between the two variables, such as an exponential or quadratic relationship. It is possible that further analysis and exploration of the data set would reveal such a relationship and allow Bob to uncover the relationship between the two variables. Additionally, even if the correlation value is low, it does not necessarily mean that there is no relationship between the two variables. It simply means that the relationship is weak. Therefore, Bob should continue his research in order to uncover any potential relationships between the number of bedrooms and selling price.
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how can i share 7.00 to 4 people equally
Answer: each person would get 1.75 each
Step-by-step explanation:
devide 7.00 by 4
-5(5a – 2) +14 need help
Answer:24-25a
Step-by-step explanation:
Decrease 58 by 41%.
Give your answer to 2 decimal places.
Answer: 34.22
Find 41% of 58 first.
\(58*0.41=23.78\)
The problem asks to decrease it, meaning you would subtract the percentage from 58.
\(58-23.78=34.22\)
34.22
PLEASE HELP!!!Which statement is true? Select all that apply.
The relationship is proportional.
The slope is -6.
The slope is negative.
The y-intercept is -3.
The equation of the line is y = -3x
Answer:
"The relationship is proportional."
"The relationship is proportional."
"The equation of the line is y = -3x"
Step-by-step explanation:
First, a proportional relationship can be written as:
y = k*x
where k is called the constant of proportionality. (or the slope)
You can see that if we take x = 0, we have
y = k*0 = 0
Then this type of line always passes through the point (0, 0).
And in the graph you can see that this line does that, then:
"The relationship is proportional." is true.
We also can see that as x increases, the value of y decreases, this must imply that k is a negative number, then:
"The slope is negative." is true.
To find the value of the slope, we can take two points that belong to the line.
I will choose:
(0, 0) and (2, -6)
For the slope, we just take the quotient between:
Δy = -6 - 0 = -6 (the difference in the y-components)
Δx = 2 - 0 = 2 (the difference in the x-components)
the slope is:
k = Δy/Δx = -6/2 = -3
Then the slope is -3, and we can write the equation as:
y = -3*x
Then:
"The equation of the line is y = -3x" is true.
A restaurant offers a catering service which costs $16.50 per person with a $74.75 service charge. For parties of 40 or more people, a group discount applies, and the cost is $11.75 per person along with the service charge dropping to $37.00. Write a piecewise-defined function which calculates the total cost, T, (in dollars) of the catering service, which serves n people.
Answer:
16.50+91.25=91.25
91.25×40=3650
11.75-37.00=-25.25
Total cost, T of the catering service, which serves n people = T = 16.50n + 74.75 and T = 11.75n + 37.00
Given,
Charges per person = 16.50
Service charges = 74.75
Let n be the number of the people,
Let T be the total cost
Now, according to the given question,
T = 16.50n + 74.75
If n>=40
T = 11.75n + 37.00
So, we have 2 equations which define the total cost -
T = 16.50n + 74.75,
T = 11.75n + 37.00
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Find each missing measure, PLS help me my last question, i have like 7 pages of math to get done tonight pls help me with this ONE problem!!!!!
Answer:
m1: 35
m2: 77
m3:49
m4:77
m5:62
m6: 28
Step-by-step explanation:
So basically u can figure out that the angle opposite the 103deg thing is also 103. 360-2(103) = 154. Then 154/2 = 77 and u can work out the rest from there. good luck with the rest of the problems.
4 2/7 by dived 15/16
Answer:
4 4/7
Step-by-step explanation:
Answer:
the answer would be 32/7
rand function: to make the value static so that they don't keep changing when we click anywhere in the excel sheet, use copy and then paste as?
In RAND function, when we click anyplace in the succeed sheet use duplicate and afterward glue as values. returns an irregular number that is more noteworthy than or equivalent to 0 and under 1.
What is function?The subject of arithmetic incorporates amounts and their varieties, conditions and related designs, shapes and their areas, and where they can be found. The expression "function" alludes to the connection between a bunch of information sources, every one of which has a related result. An association among data sources and results in which each info prompts a solitary, particular outcome is known as a capability. Each capability is given a space and a codomain, or scope. Normally, f is utilized to signify capabilities (x). input is a x. There are four fundamental sorts of capabilities open. in view of the accompanying variables: on capabilities, coordinated capabilities, many-to-one capabilities, inside capabilities, and on capabilities.
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a snow cone stand sold 250 snow cones at an event that had 600 people. how many snow could would be expected sold at a event that would have 1,800 people
Answer:
b
Step-by-step explanation:
Answer:
If 250 per 600
Step-by-step explanation:
600 x 3 is 1800, so 250 x 3 is 750.
So you're answer would be 750
Monica won 40 pieces of candy playing bingo at her school’s game night. Later she gave two to each of her friends. She only has eight remaining. How many friends does she have?
in the expression 3² + 5 · 3 what needs to be done first? exponents addition multiplication
Answer:
If you use the PEMDAS method, you can see that exponents should be done first.
Step-by-step explanation:
Can someone help?
Identify the coefficients and degree of each item
Answer:
first term: degree=4, coefficient= -2
second term: degree=3, coefficient=1
third term: degree=1, coefficient= -8
fourth term: degree= 1, no coefficient
fifth term: degree=2, coefficient=5
Step-by-step explanation:
Answer:
Hey there!
First term, degree 4, coefficient -2.
Second term, degree 3, coefficient 1
Third term, degree 1, coefficient -8
Fourth term, degree 1, coefficient none
Fifth term, degree 2, coefficient 5
Hope this helps :)
find the midpoint between (1,2) and (11,12)
The value of the midpoint between (1, 2) and (11,12) is,
⇒ (6, 7)\
We have to given that;
To find the midpoint between (1,2) and (11,12).
Since, A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.
Now, By definition of midpoint, we get;
The midpoint between (1,2) and (11,12) is,
⇒ (1 + 11)/2, (2 + 12) / 2
⇒ (12/2, 14/2)
⇒ (6, 7)
Thus, The value of the midpoint between (1, 2) and (11,12) is,
⇒ (6, 7)\
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I NEED IT RIGHT NOW!!!!!The sphere and cylinder have the same radius and
height
The volume of the cylinder is 18 m3. What is the
volume of the sphere?
O. 12 m3
15 m3
18 m
O 27 m3
it's A cause im super epic UwU
Pls help I’ll give you 50 points A store pays 5%
commission on the first
$500 in sales and 7% on
sales over $500. Find
the commission on a
$950 sale,
Answer:
$56.50Step-by-step explanation:
The sale amount is:
$950 = $500 + $450The amount of commission:
5% of $500 + 7% of $450 = $500*0.05 + $450*0.07 = $56.50Answer:
$ 56.50
Step-by-step explanation:
Sale amount = $ 950 = 500 + 450
Commission for $ 500 = 5% of 500 = 0.05 *500 = $25
Commission for sales over $ 500 = 7% of 450 = 0.07 * 450 = $ 31.50
Total commission = 25 + 31.50 = $56.50
what does this mean? Could I be lectured on this? will give 50 points and brainliest to the fastest responder
Answer:
Nonproportional
Step-by-step explanation:
A line that is proportional will always pass through the origin (0, 0). If it does pass through the origin, then x and y have a proportional relationship.
Best of Luck!
Answer:
60
Step-by-step explanation:
if you look at the graph you see that
i don't know how to do it so
I think the answer is 60.
A circle has an area of 20cm. What is its diameter?
Answer:
should be 5.05
Step-by-step explanation:
rounded to nearest hundredth
Answer:
5.02
Step-by-step explanation:
Formula for area= π x r^2
(π is 3.14)
Formula for diameter= 2 x r
So all you basically have to do is go backwords with the first equation
20/π=6.36
Now you have 6.36, though you need to go even further back because of the ^2
√6.36=2.51
Now we have the radius, so stick that into the diameter formula
2 x 2.51
5.02 is the diameter :)
I need help ASAP
write an equitation of the line shown
The equations of the lines are:
7. y = 3/2x - 3/2
8. y = -1/3x - 8/3
What is the Equation of a Line?The equation that represents a line, in slope-intercept form is, y = mx + b.
Slope of the line = m = rise/run or change in y / change in x.Y-intercept of the line = b = the point where the line intercepts the y-axis.7. Find the slope (m) between (5, 6) and (1, 0):
Slope (m) = (6 - 0)/(5 - 1) = 6/4
Slope (m) = 3/2
Find the y-intercept of the line, b, by substituting m = 3/2 and (x, y) = (1, 0) into y = mx + b:
0 = 3/2(1) + b
-3/2 = b
b = -3/2
To write the equation, substitute m = 3/2 and b = -3/2 into y = mx + b:
y = 3/2x - 3/2
8. Find the slope (m) between (-5, -1) and (1, -3):
Slope (m) = (-1 -(-3))/(-5 - 1) = 2/-6
Slope (m) = -1/3
Find the y-intercept of the line, b, by substituting m = -1/3 and (x, y) = (1, -3) into y = mx + b:
-3 = -1/3(1) + b
-3 = -1/3 + b
-3 + 1/3 = b
-8/3 = b
b = -8/3
To write the equation, substitute m = -1/3 and b = -8/3 into y = mx + b:
y = -1/3x - 8/3
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what is 1 oz in tbsp
There are 2 tablespoons in 1 fluid ounce. This conversion is often used in cooking and baking recipes, where ingredients are measured in ounces or tablespoons.
Fluid ounces and tablespoons are both units of volume used to measure liquids in cooking and baking recipes. One fluid ounce is equal to 29.5735 milliliters or approximately 2 tablespoons, which is equivalent to 6 teaspoons. Therefore, there are 2 tablespoons in 1 fluid ounce.
This conversion is important to know when following recipes that call for ingredients in fluid ounces or tablespoons. It allows for accurate measurement of ingredients, which is crucial for successful cooking and baking. Other common units of volume used in the kitchen include teaspoons, cups, and quarts, among others.
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Savannah has a water bottle that is a rectangular prism. The bottle measures 7 centimeters by 5 centimeters by 18 centimeters and she filled it completely with water. Then, she drank 1 4 of the volume of water in her water bottle. How many cubic centimeters of water were left in the water bottle?
Answer:
472.5 cm^3
Step-by-step explanation:
Find the volume of the bottle
V = l*w*h
V = 7*5*18
V = 630 cm^3
She drank 1/4 of the water, so there is 3/4 of the water left
3/4 * 630
472.5 cm^3
The estimated probability of a football player scoring a touchdown during a
particular game is 43%. If several simulations of the football player playing
two games were performed, in what percentage of the simulations would the
football player be most likely to get a touchdown in each of the two games?
A. 12%
B. 86%
C. 43%
D. 18%