To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations.
I think.
Rosa has $254. She pays $7 for breakfast each day and $13 for lunch each day. If Rosa
does not spend money on anything else or receive any additional money, how many
days can she continue to buy breakfast and lunch?
The number of days that Rosa can continue to buy breakfast and lunch with the money is; 12 days
How to solve algebra Word problems?We are given the following parameters;
Amount held by Rosa = $254
Amount per breakfast = $7
Amount per Lunch = $13
Thus;
Amount spent each day = $7 + $13
Amount spent each day = $20
Now, to find out how many days this money can last her if she doesn't get any more income is;
Number of days = 254/20 = 12 days with $14 left
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in a survey of 320 customers, 84 say that service is poor. you select two customers without replacement to get more information on their satisfaction. what is the probability that both say service is poor?
Probability is the branch of mathematics dealing with numerical descriptions of how likely a situation is to occur, or how likely it is that a proposition is true.
An expression for the probability of an event.
Probability of an event = Required number of event / Total number of possible events
Required number of events = 84
Total number of events = 320
Find the probability that both customers selected without replacement say service is poor.
customers say service is poor = 84 / 320
customer selected without saying service is poor= 83 / 319.
The final probability is: 84 ÷ 320 ×83 ÷ 319.
= 6972 ÷ 201080
= 1743 ÷ 25520
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Which of the following is an accurate definition for the power of a statistical test ?
A the probability of supporting true null hypothesis
B the probability of supporting a false null hypothesis
C the probability of rejecting a false null hypothesis
D the probability of rejecting a true null hypothesis
Which of the following is an accurate definition for the power of a statistical test is C. The power of a statistical test refers to the probability of rejecting a false null hypothesis. This means that the test is able to correctly identify when there is a significant difference between two groups or conditions.
statistical tests are used to determine whether the results of an experiment are likely due to chance or whether there is a real effect. The null hypothesis states that there is no significant difference, while the alternative hypothesis states that there is. The power of a statistical test refers to the ability of the test to correctly reject the null hypothesis when it is false, and thus support the alternative hypothesis.
, the power of a statistical test is the probability of correctly rejecting a false null hypothesis, which indicates that there is a significant difference between two groups or conditions.
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PLEASE HELP the product of x^3 , x^5 + x
what is 0.01 less than 142.7
Answer:
142.69
Step-by-step explanation:
142.70-0.01
is
142.69
Brainiest plz
Answer:
142.69
Step-by-step explanation:
A number 0.01 less than 142.7 is equal to 142.7 minus 0.01.
142.7 - 0.01 = 142.69.
Let me know if this helps!
Determine the slope of the line that passes through the points (-8,-4) and (0, -1).
Answer:
3/8
Step-by-step explanation:
(-1-(-4))/(0-(-8))
=3/8
A node or event with duration of 0 days is a(n) ______________.
a. error
b. milestone
c. short term activity (less than 1 day)
d. zero sum game
A node or event with a duration of 0 days is a b. milestone
A milestone refers to an important event in a project that has a duration of zero days. It signifies the completion of a significant phase or task within the project. Milestones are numbers placed on roads, such as roads, railroads, canals, or borders. They can show distances to cities, towns, and other places or regions; or they can set their work on track with respect to a reference point.
They are found on the road, often by the roadside or in a warehouse area. They are also called mile markers (sometimes abbreviated MM), milestones, or mileposts (sometimes abbreviated MP). "mile point" is the term used for the medical field where distance is usually measured in kilometers rather than miles. "Distance marking" is a general term that has nothing to do with units.
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what is the median of 11223444
Answer:
2.5
Step-by-step explanation:
An adult sleeps about 480 minutes per day an infant sleeps about 820 minutes per day about how many more minutes does an infant sleep than an adult in one week. What is the given information that will be used to solve the problem?
Answer:2380 minutes. By saying how many more minutes does an infant sleep than an adult in one week impies that you have to subtract how long an adult sleeps taken away from the amount of time an infinte sleeps. Once you get the answer you multiply it by seven.
Step-by-step explanation:
Answer:340 minutes
Step-by-step explanation:you subtract the amount an infant sleeps (820 minutes) by the amount an adult sleeps (480 minutes)
820-480=340
Evaluate the expression
(4p - m) = -4 and p=2.
Answer:
m = 12
Step-by-step explanation:
(4p - m)= -4
1. Take off parenthesis
4p -m = -4
2. Replace p
4(2) - m = -4
8 - m = -4
m = 12
Answer:
m = 12
Step-by-step explanation:
4(2)=8
8 - m = -4
-8 -8
-m = -12
/-1 /-1
m = 12
Find the value of x.
Answer:
x=71
Step-by-step explanation:
I'm pretty sure this is super easy but I need help
Answer:
x=20
Step-by-step explanation:
2x-5=35
you wanna turn that -5 to a +5 and add that +5 to 35 and you'll get 40.
then divide 2x with 40 and your answer should be 20.
Determine whether or not the equation shows a proportional relationship. If it does, identify the unit rate (constant of proportionality).
y =25x, a = 5x + 5, m = 105.25n
Answer:
y = 25·x shows a proportional relationship
a = 5·x + 5 does not show a proportional relationship
m = 105.25·n shows a proportional relationship
Step-by-step explanation:
An equation that shows a proportional relationship is of the form, y = kx
Where;
k = The constant of proportionality = y/x
Therefore, the equation, y = 25·x shows a proportional relationship
The constant of proportionality = k = y/x = 25
Similarly, the equation m = 105.25·n shows a proportional relationship
The constant of proportionality = k = m/n = 105.25
When the equation shows a proportional relationship, the graph of the equation passes through the origin, therefore, the equation of the form, y = m·x + c, where c = the y-intercept > 0, the equation does not show a proportional relationship
The equation a = 5·x + 5, which is of the form, y = m·x + c, with c = 5 > 0, therefore, does not show a proportional relationship.
Therefore;
y = 25·x shows a proportional relationship
m = 105.25·n shows a proportional relationship
a = 5·x + 5 does not show a proportional relationship.
i would like to know this question and can you show your work to so I can understand
Answer:
162
Step-by-step explanation:
a=\(\frac{a+b}{2} h\)
a=base and the base is 13 ft.
b= also means base which is 23 ft.
h= height which is 9 ft.
so 13+23 is 36
36/2 is 18
and 18 times 9 is 162
sorry for the lengthy answer but i hope this helps :) have a nice day !!
You bought a magazine for $5 and 20 erasers. If you spent a total of $11, how much did each eraser cost
Answer:
.30 cents
Step-by-step explanation:
11-5=6
6 divided by 20
Pls help!
What is the product of 1 2/3 and -3 1/2
A. -5 5/6
B. -3 1/3
C. 3 1/3
D. 5 5/6
Answer:
A) -5 5/6
Step-by-step explanation:
If each inch on the scale drawing equals 5
feet, what are the actual dimensions of Janet's room?
Answer:
5x feet or x times 5.
Step-by-step explanation:
Principal = 2350=2350equals, 2350 rupeesperiod = 2=2equals, 2 yearstotal amount = 2867=2867equals, 2867 rupeesannual rate of interes
Principal = 2350=2350equals, 2350 rupeesperiod = 2=2equals, 2 yearstotal amount = 2867=2867equals, 2867 rupees The annual rate of interest is 6%.
We are given the principal amount, which is 2350 rupees, the period, which is 2 years, and the total amount, which is 2867 rupees. We need to find the annual rate of interest.
The formula to calculate the total amount with compound interest is:
Total Amount = Principal * (1 + Rate/100)^Period
Using the given values, we can rewrite the formula as:
2867 = 2350 * (1 + Rate/100)^2
Dividing both sides of the equation by 2350, we get:
(1 + Rate/100)^2 = 2867/2350
Taking the square root of both sides, we have:
1 + Rate/100 = sqrt(2867/2350)
Subtracting 1 from both sides, we get:
Rate/100 = sqrt(2867/2350) - 1
Multiplying both sides by 100, we have:
Rate = 100 * (sqrt(2867/2350) - 1)
Evaluating this expression using a calculator, we find:
Rate ≈ 6
Therefore, the annual rate of interest is approximately 6%.
The annual rate of interest for the given principal, period, and total amount is approximately 6%
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Plsssss helpppp!!!!!
Answer:
x = 19.42
Step-by-step explanation:
8²+x²=21²
64+x²=441
-64 -64
x²=377
x=19.41648784
rounded is 19.42
Determine the solution to the following set of linear equations by using the graph below
a) 2x + y = 5
2x - 2y = 2
Answer:
(2,1)
Step-by-step explanation:
Well first we single out y or x in one of the equations,
we’ll use 2x + y = 5 and single out y.
2x + y = 5
-2x to both sides
y = -2x + 5
So we can plug in -2x + 5 into y in 2x - 2y = 2.
2x - 2(-2x + 5) = 2
2x + 4x - 10 = 2
combine like terms,
6x - 10 = 2
Communicarice property
+10 to both sides
6x = 12
divide 6 to both sides
x = 2
If x is 2 we can plug 2 in for x in 2x + y = 5.
2(2) + y = 5
4 + y = 5
-4 to both sides
y = 1
(2,1)
Thus,
the solution is (2,1).
Hope this helps :)
selena created a scale model of an airplane where 1 centimeter on the model equals 6 meters on the airplane. the wingspan of the model is 10.7 centimeters. selena wants to make a new model where a scale of 1 centimeter on the model equals 3 meters on the airplane. which of the following best describes how the wingspan of the new model will compare to the wingspan of the first model?
The wingspan of the new model will be 2 times larger than the wingspan of the first model.
A scale model is a physical model of an object. Scale models are often used in engineering, architecture, and filmmaking, among other fields, to simulate the appearance or functionality of real-world objects.
According to the question, 1 cm of the scale model equals 6 meters of the airplane. Thus, to find the actual wingspan of the airplane, you can multiply the wingspan of the scale model by the ratio of the actual wingspan to the wingspan of the scale model, as shown below:
Wingspan of the airplane = Wingspan of the model × Ratio
To convert the scale model ratio from 1 cm = 6 meters to 1 cm = 3 meters, divide by 2. Since Selena's model has a wingspan of 10.7 cm, you can calculate the wingspan of the actual airplane using the equation above, as shown below:
Wingspan of the airplane = 10.7 × 6/1 = 64.2 m (for the first model)Wingspan of the airplane = 10.7 × 3/1 = 32.1 m (for the new model)
Now you can compare the wingspan of the two models to determine how the wingspan of the new model compares to the wingspan of the first model.
The wingspan of the new model will be 2 times larger than the wingspan of the first model, since 64.2 ÷ 32.1 = 2. Therefore, the correct answer is that the wingspan of the new model will be 2 times larger than the wingspan of the first model.
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A function is created to represent the costs of living per person in the family. What restrictions would be made to the domain? (1 point)
1) The domain would only include integers.
2) The domain would only include positive integers.
3) The domain would only include positive numbers.
4) The domain would include all real numbers.
Answer:
2) The domain would only include positive integers
Step-by-step explanation:
y cost for x person
x can't be negative or fraction.
Find the value of x if q(x)=1/2(x)-3= q(x)=-4
9514 1404 393
Answer:
x = -2
Step-by-step explanation:
Set q(x) = -4 and solve for x.
q(x) = 1/2x -3 . . . . . . given
-4 = 1/2x -3 . . . . . . . . q(x) = -4
-1 = 1/2x . . . . . . . . . . add 3
-2 = x . . . . . . . . . . . . . multiply by 2
A parking garage in Quincy, IL charges $6.00 for the first hour and $2.00 for each additional hour or part of an hour. What is the maximum number of hours that you can park in the garage if you wish to pay no more than $14?
The maximum number of hours that you can park in the garage if you wish to pay no more than $14 is 5 hours.
Here's how to calculate it:
Start with the first hour charge of $6.00.Subtract this from the maximum amount you want to pay ($14) to get $8 remaining.Divide this remaining amount by the cost of each additional hour ($2) to get the number of additional hours you can park. $8/$2 = 4 additional hours.Add the first hour to the additional hours to get the maximum number of hours you can park. 1 + 4 = 5 hours.Therefore, the maximum number of hours you can park in the garage if you wish to pay no more than $14 is 5 hours.
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Question 14
Using the triangle given below, determine
value for sin Pcos P. and tan P
P
10
8
ב
6
Your answer:
sin
npa B, COS P = , tan pet
sin Pang, cos P = , tan P -
o
sin peš, cos P - , tan P -
o
in pois, cos P - S, tan pa
P
,
Clear answer
Fill in the banks to simplify the expression
Answer:
4^3/8+3([ 4 ])-5^2
[ 64 ]/8+3([ 4 ])-5^2
[ 64 ]/8+3([ 4 ])-[ 25 ]
[ 64 ]/8+[ 12 ]-[ 25 ]
[ 8 ]+[ 12 ]-[ 25 ]
[ 20 ]-[ 25 ]
[ -5 ]
Answer:
The final answer is -5.
Step-by-step explanation:
4^3 / 8 + 3 (7-3) - 5^2
4^3 / 8 + 3( 4 ) - 5^2
64 / 8 + 3( 4 ) - 25
64 / 8 + 12 - 25
8 + 12 -25
20 - 25
= -5
So the first part you subtract the numbers in brackets.
Then you reduce the powers as in simplifying them.
From there you multiply 3 and 4.
Then you divide 64 and 8
After that you do the rest just as they are.
HOPE IT HELPED
Ciara measured the length, x, of each of the insects she found underneath a rock. She recorded the lengths in the table below. Calculate an estimate of the mean length of the insects she found. Give your answer in millimetres (mm). Length (mm) 0≤x≤10 10≤x≤20 20≤x≤30 Frequency 5 6 9
The estimate of the mean length of the insects Ciara found is 17 millimeters (mm).
To calculate an estimate of the mean length of the insects Ciara found, we need to find the weighted average of the lengths using the given frequencies.
Let's denote the lower limits of the length intervals as L1 = 0, L2 = 10, and L3 = 20.
Similarly, denote the upper limits as U1 = 10, U2 = 20, and U3 = 30.
Next, we calculate the midpoints of each interval by taking the average of the lower and upper limits.
The midpoints are M1 = (L1 + U1) / 2 = 5, M2 = (L2 + U2) / 2 = 15, and M3 = (L3 + U3) / 2 = 25.
Now, we can calculate the sum of the products of the frequencies and the corresponding midpoints.
This gives us (5 \(\times\) 5) + (6 \(\times\) 15) + (9 \(\times\) 25) = 25 + 90 + 225 = 340.
Next, we calculate the sum of the frequencies, which is 5 + 6 + 9 = 20.
Finally, we divide the sum of the products by the sum of the frequencies to find the weighted average, which is 340 / 20 = 17.
Therefore, the estimate of the mean length of the insects Ciara found is 17 millimeters (mm).
Thus, the mean length of the insects Ciara found is approximately 17 millimeters (mm).
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Rita goes for a bike ride on a trail by her house. After 15 minutes of riding she sees a mile marker. When she reaches the third mile marker, she realizes that she has been biking for 30 minutes. What is the rate at which she is riding?
Given:
Rita covered 1 mile in 15 minutes.
She covered 3 miles in 30 minutes.
To find:
The rate at which she is riding.
Solution:
Let y be the number of miles covered in x minutes.
Rita covered 1 mile in 15 minutes. So, the point is (15,1).
She covered 3 miles in 30 minutes. So, the point is (30,3).
Slope of the line:
\(m=\dfrac{y_2-y_1}{x_2-x_1}\)
\(m=\dfrac{3-1}{30-15}\)
\(m=\dfrac{2}{15}\)
Therefore, she is riding \(\dfrac{2}{15}\) miles per minute.
Greg lives 5 miles from work. He rides his ATV at a speed of 15 miles per hour. If he leaves work at 4:30 p.m., what time will he arrive home? A. 7:30 p.m. B. 5:30 p.m. C. 5:00 p.m. D. 4:50 p.m.
The answer is D. 4:50 p.m.
What is the distance, speed, and time?
Distance: The distance refers to the amount of space between two points. In this question, the distance is 5 miles, which is the distance from Greg's work to his home.Speed: Speed refers to the rate at which an object moves. In this question, the speed is 15 miles per hour, which is the speed at which Greg rides his ATV.Time: Time refers to the duration of an event or the period between two points in time. In this question, we are calculating the time it will take for Greg to travel from his work to his home, which is 1/3 of an hour or 20 minutes.The time it will take for Greg to travel home can be calculated using the formula:
time = distance ÷ speed
Here, the distance is 5 miles and the speed is 15 miles per hour.
time = 5 miles ÷ 15 miles per hour = 1/3 hour
Therefore, it will take Greg 1/3 of an hour, or 20 minutes to travel home.
If he leaves work at 4:30 p.m., he will arrive home at:
4:30 p.m. + 20 minutes = 4:50 p.m.
Hence, the answer is D. 4:50 p.m.
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Find the equation of straight line passing through the mid-point of (1,2) and (3,4) and having slope 3.
Note: write full steps
Answer:
\( \large{ \tt{❃ \: EXPLANATION}} : \)
Let us assume the two points ( 1 , 2 ) and ( 3 , 4 ) be ( x₁ , y₁ ) and ( x₂ , y₂ ) respectively. Now , Find out the midpoint of those points :\( \boxed{\large{ \tt{✧ \: MIDPOINT = ( \frac{x_{1} + x_{2}}{2} } \:, \frac{y_{1} + y_{2}}{2} ) }}\)
\( \large{ \tt{↦ \: ( \frac{1 + 3}{2} \: , \frac{2 + 4}{2} )}}\)
\( \large{ \tt{↦( \frac{4}{2} \:, \frac{6}{2} })}\)
\( \large{ \tt{↦ \underline{( \: 2 \:, 3 \: )}}}\)
To find the equation of straight line passing through a point and a slope , we use the equation of straight line in point slope form i.e y - y₁ = m ( x - x₁ ).We have : Slope ( m ) = 3 & assume the midpoint of ( 1 , 2 ) and ( 3 , 4 ) i.e ( 2 , 3 ) be ( x₁ , y₁ ).\( \large{ \tt{✎ \: LET'S \: START}} : \)
\( ☯ \: \boxed { \large{\tt{y - y_{1} = m(x - x_{1})}}}\)
\( \large{ \tt{↬y - 3 = 3(x - 2)}}\)
\( \large{ \tt{↬y - 3 = 3x - 6}}\)
\( \large{ \tt{↬3x - 6 = y - 3}}\)
\( \large{ \tt{↬3x - y - 6 + 3 = 0}}\)
\(\large{ \tt{↬ \boxed{ \tt{3x - y - 3 = 0}}}}\)
Hence , The required equation of a straight line is 3x - y - 3 = 0 .\( \tt{✺ \: CHOOSE \: YOUR \: HABITS \: CAREFULLY \: ,THEY \: DECIDE \: YOUR \: FUTURE! \: ♪}\)
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