A van travels 300 miles on 15 gallons of gas. Find how many gallons the van needs to travel 360 miles. 72 gallons of gas 18 gallons of gas 23 gallons of gas 67 gallons of gas
simple first we find the miles per gallon
so 300/15=20 therefor he would only need a extra 3 gallons to go 360 miles so your answer is
B.18
Wyatt uses 3/4 gallon of paint to paint two identical doghouses. Wyatt has 11/2 gallons of paint. Assuming that the doghouses are identical, ow many doghouses can Wyatt paint with 11/2 gallons of paint?
Please help it’s due tomorrow! I’m in a hurry!! Omg pls help! :( ahhhhhhhhhhh
One more math question! Thanks!
The length of a quarter is 0.955 inch.Round the length of a quarter to the nearest tenth of an inch
0.955 rounded to the nearest tenth would be 1.0
What is the area of a rectangle with vertices at (−6, 3) , (−3, 6) , (1, 2) , and (−2, −1) ? Enter your answer in the box. Do not round any side lengths.
I didn't get this one question right on a test. Could someone tell me what I did wrong? Plz and ty
Y’all I am struggling. Help me out please I’ll give 15 points! #7
The bakers Healthy Bakery make 250 bagels in 10 hours. How many bagels can they bake in 12 hours? What was that rate per hour?
250/10 = 25 bagels per hour
25*12 = 300 bagels in 12 hours
In a zoo there are 17 more monkeys than lions and 30 more lizards than lions. If there were 151 monkeys, lions and lizards in total, how many of each kind are there?
To reduce laboratory costs, water samples from two public swimming pools are combined for one test for the presence of bacteria. Further testing is done only if the combined sample tests positive. Based on past results, there is a 0.009 probability of finding bacteria in a public swimming area. Find the probability that a combined sample from twotwo public swimming areas will reveal the presence of bacteria. Is the probability low enough so that further testing of the individual samples is rarely necessary?
The probability of a positive test result is _____.
Is the probability low enough so that further testing of the individual samples is rarely necessary?
A. The probability is quite low, indicating that further testing is necessary for all of the combined samples.
B. The probability is quite low, indicating that further testing is not necessary for any of the combined samples.
C. The probability is quite low, indicating that further testing of the individual samples will be a rarely necessary event.
D. The probability is quite low, indicating that further testing of the individual samples will not be a rarely necessary event.
Answer:
The probability of a positive test result is 0.017919
Option C is correct.
The probability is quite low, indicating that further testing of the individual samples will be a rarely necessary event.
Step-by-step explanation:
Probability of finding bacteria in one public swimming pool = 0.009
We now require the probability of finding bacteria in the combined test of two swimming pools. This probability is a sum of probabilities.
Let the two public swimming pools be A and B respectively.
- It is possible for public swimming pool A to have bacteria and public swimming pool B not to have bacteria. We would obtain a positive result from testing a mixed sample of both public swimming pools.
- It is also possible for public swimming pool A to not have bacteria and public swimming pool B to have bacteria. We would also obtain a positive result from testing a mixed sample of both public swimming pools.
- And lastly, it is possible that both swimming pools both have bacteria in them. We will definitely get a positive result from this too.
So, if P(A) is the probability of the event of bacteria existing in public swimming pool A
And P(B) is the probability of the event of bacteria existing in public swimming pool B
P(A') and P(B') represent the probabilities of bacteria being absent in public swimming pool A and public swimming pool B respectively.
P(A) = P(B) = 0.009
P(A') = P(B') = 1 - 0.009 = 0.991
Since the probabilities for each public swimming pool is independent of the other.
P(A or B) = P(A n B') + P(A' n B) + P(A n B)
= P(A)×P(B') + P(A')×P(B) + P(A)×P(B)
= (0.009×0.991) + (0.991×0.009) + (0.009×0.009)
= 0.008919 + 0.008919 + 0.000081
= 0.017919
Evidently, a probability of 0.017919 (1.7919%) indicates an event with a very low likelihood. A positive result is expected only 1.7919% of the time.
Hence, we can conclude that the probability is quite low, indicating that further testing of the individual samples will be a rarely necessary event.
Hope this Helps!!!
I have a bag of trail mix. half of the bag contains peanuts, 1/4 of the bag is chocolate candies, and 1/4 of the bag is dried fruit. what is the probability that i will select a peanut?
Marie worked 2 weeks during her college semester break. She earned $280 the first week and $245 the second week. If 1/2 oh her total earnings went to taxes and 1/4 went to college tuition,how much money dI'd she have left?
After the z value is calculated, the ____________ is obtained from a table of z-scores.
After the z value is calculated, the probability is obtained by using the corresponding area under the normal curve from the z-table. The z-table shows the area to the left of the calculated z-score and can be used to determine probabilities and critical values for the standard normal distribution.
Explanation:After the z value is calculated, the probability is obtained from a table of z-scores. The z-table is used to find the area under the normal curve, which represents the probability associated with a z-score. When looking up a z-score in the z-table, you will see the area under the normal curve to the left of the z-score which corresponds to the probability of obtaining a score within that range. The z-table provides critical values for the standardized normal distribution which has a mean of 0 and a standard deviation of 1. To calculate the area between two z-scores, subtract the smaller area from the larger area.
For example, if we need to find the z-score that corresponds to an area of 0.9, we would look up this value in the z-table to discover that the z-score is approximately 1.28. This z-score then can be used with the mean and standard deviation of the distribution to find the original score using the formula μ + (z)(σ) = x. It's important to note that while most z-tables show the area to the left, some may provide the area from the mean to the z-score, so the method used will be indicated on the table itself.
PB is a line segment on a number line. It has endpoints at -2 and 12. What is the coordinate of its midpoint?
What is f(-3) if f(x) =|2x-1|-5
The value of a function is gotten from the input variable
The value of f(-3) is 2.
We have:
[tex]f(x) = |2x - 1| -5[/tex]
Substitute -3 for x
[tex]f(-3) = |2 \times -3 - 1| -5[/tex]
Multiply 2 and -3
[tex]f(-3) = |-6 - 1| -5[/tex]
[tex]f(-3) = |-7| -5[/tex]
Remove absolute bracket
[tex]f(-3) = 7 -5[/tex]
[tex]f(-3) = 2[/tex]
Hence, the value of f(-3) is 2.
See attachment for the graph of [tex]f(x) = |2x - 1| -5[/tex]
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3x - 4y = 7 , for x
15y + 1 = x , for y
Does anyone know this??
The range of the following relation R {(3, −2), (1, 2), (−1, −4), (−1, 2)} is
A {−1, 1, 3}
B {−1, −1, 1, 3}
C {−4, −2, 2, 2}
D {−4, −2, 2}
Manny and Emma are both competing in a long jump competition at their school .mang can jump for fifths of the distance that Emma can jump . many can jump 40 inches how far can Emma jump
divide 40 by 4/5 =
40*5/4 = 200/4 =50
Emma can jump 50 inches
The function graphed represents the amount of water in a container, in gallons, x minutes after a drain is opened.
What is the meaning of each key feature of the graph?
Drag the answer into the box to match each item.
Let
x-------> the time in minutes
y-----> the function that represent the amount of water in gallons
Step 1
Find the x-intercept
we know that
The x-intercept is the value of x when the value of the function is equal to zero
In this problem (see the graph)
For [tex]y=0[/tex]
the value of x is [tex]15\ min[/tex]
so
the x-intercept is the point [tex](15,0)[/tex]
that means
The number of minutes it takes for the container to empty is [tex]15\ min[/tex]
Step 2
Find the y-intercept
we know that
The y-intercept is the value of the function y when the value of x is equal to zero
In this problem (see the graph)
For [tex]x=0[/tex]
the value of the function y is [tex]120\ gal[/tex]
so
the y-intercept is the point [tex](0,120)[/tex]
that means
The number of gallons in the container before the drain is open is [tex]120\ gal[/tex]
therefore
the answer in the attached figure
Twice a number minus a second number is -1. twice the second number added to three times the first number is 9. find the two numbers
Suppose there are n students in a class what is the probability at least two students have same birthday
Solve this Multi-Step Equation
-3(t + 5) + (4t + 2) = 8
PLEASE HELP ME!
Diana made a recipe that yields 6 and 1 over 2 cups. If each serving is 1 over 4 cup, which expression will help Diana determine the number of servings her recipe will yield?
6 1/2 divided by 1/4
6.5 /0.25 =26 servings
Jose receives a $10 gift card for downloading music and wants to determine how many songs he can purchase. Each downloaded song costs $1.19. Write and solve an inequality to determine how many songs Jose can purchase. What does the solved inequality represent?
Final answer:
To determine the number of songs Jose can purchase using his gift card, the inequality 1.19x ≤ 10 is solved, resulting in x ≤ 8.4, meaning Jose can purchase a maximum of 8 songs.
Explanation:
Jose's gift card scenario:
Let's denote the number of songs he can purchase as x.
The inequality to represent this situation is: 1.19x ≤ 10 (the total cost of the songs cannot exceed the value of the gift card).
Solving for x, we get x ≤ 8.4. Since he can't purchase a fraction of a song, Jose can purchase a maximum of 8 songs using the gift card.
If Adela has 12.4 L of diesel and Madison has 840 cL of diesel, how much does the pair have altogether?
The total volume of diesel that the pair have altogether is equal to 20.8 L.
What is measurement?Measurement is a process through which the size, magnitude, volume or other physical quantities that are associated with an object or chemical substance are taken, especially for the purpose of a scientific research (experiment).
In order to determine the total volume of diesel that they have, we would convert the value in centiliter (cL) to liter (L) and then add them together as follows:
840 cL to L = 840/100 = 8.4 L.
Total = 8.4 + 12.4
Total = 20.8 L.
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In order to join a dancing club, there is a $30 startup fee and a $4 monthly fee. If you want to spend 1 year in the club, how much money did you spend?
Circle P is tangent to the x-axis and the y-axis. If the coordinates of the center are (r, r), find the length of the chord whose endpoints are the points of tangency.
Answer: The length of the chord AB is √2 r units.
Step-by-step explanation: Given in the question that Circle P is tangent to the X-axis at the point A and tangent to the Y-axis at the point B.
Also, the co-ordinates of centre of the circle P are C(r, r). See the attached image below.
We are to find the length of the chord AB, with end-points A and B as the points of tangency.
From the figure, we note that
the co-ordinates of the points A and B are (0, r) and (r, 0) respectively.
As the X-axis and Y-axis are perpendicular to each other, so the lines parallel to them, OB and OA are also perpendicular to each other.
That is, ∠ACB = 90°.
This implies that the triangle ACB is a right-angled triangle.
Now, using Pythagoras theorem in ΔACB, we have
[tex]AB^2=CA^2+CB^2~~~~~~~~~~~~~~~~~~~~~(i).[/tex]
The lengths of the line segments CA and CB are calculated, using distance formula, as follows:
[tex]CA=\sqrt{(0-r)^2+(r-r)^2}=\sqrt{r^2}=r,\\\\CB=\sqrt{(r-r)^2+(0-r)^2}=\sqrt{r^2}=r.[/tex]
From equation (i), we get
[tex]AB^2=r^2+r^2\\\\\Rightrarrow AB^2=2r^2\\\\\Rightarrow AB=\sqrt2r~\textup{units}.[/tex]
Thus, the length of the chord AB is √2 r units.
A circle, tangent to the x-axis and y-axis, forms a square where its radius r is the side length. The chord, which is the diagonal, can be found using the Pythagorean theorem resulting to r√2.
Explanation:In the given problem, a circle P is tangent to the x-axis and y-axis at two points. This means that the radius of the circle is the distance from the center to either axis, which are both r, as the coordinates of the center are (r,r). We are asked to find the length of the chord whose endpoints are the points of tangency.
The chord is actually the diagonal of a square that has sides of length r. So, its length can be found using the Pythagorean theorem (a^2 + b^2 = c^2), where a and b are the lengths of the sides of the square and c is the diagonal. Hence the length of the chord can be found as √(r^2 + r^2) = √(2r^2) = r√2.
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The equation of a line is −2x+5y=−20.
What is the x-intercept of the line?
The required solution of the equation of a line is −2x+5y=−20 is x = 10.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. Equation, statement of equality between two expressions consisting of variables and/or numbers.
Given:
The given equation of a line is
−2x+5y=−20.
According to given question we have
BY the use of x- intercept put y=0 we get
-2x + 5y = -20
-2x + 5(0) = -20
-2x = -20
x = -20/-2
x = 10.
Therefore, the required solution of the equation of a line is −2x+5y=−20 is x = 10.
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Which ordered pairs are on the line with the equation y+3.5=0.75(x-2)? I will mark brainliest. Thanks!
come back and mark him brainliest
-lemons 2021