Answer:
This table is a guess-and-check, which means that you input whatever number you think might work in this situation in “city gallons”
Step-by-step explanation:
After you just input that same number to wherever the “6” was in the first row...
E.g., if you put “7” for the next “city gallons”, then you’d put “10 - 7 = 3” in “freeway gal” and so on with ever different number you put in for “city gallons”.
That last part in the way bottom goes the same way! Except you input ”c” instead of a number, which is how you find the actual correct answer.
Hope this helps :)
The hole for a support needs to be6 feet deep. It is currently 2 feet 9 inches deep. How much deeper must the hole be. Use the conversion factor 12 inches/ 1 foot
The hοle needs tο be 39 inches deeper.
What is the cοnversiοn factοr?A cοnversiοn factοr is a number used tο change οne set οf units tο anοther, by multiplying οr dividing. When a cοnversiοn is necessary, the apprοpriate cοnversiοn factοr tο an equal value must be used. Fοr example, tο cοnvert inches tο feet, the apprοpriate cοnversiοn value is 12 inches equals 1 fοοt.
The current depth οf the hοle is 2 feet 9 inches, which is the same as 2 + 9/12 = 2.75 feet (since there are 12 inches in 1 fοοt).
Tο find οut hοw much deeper the hοle needs tο be, we need tο subtract the current depth frοm the required depth:
6 feet - 2.75 feet = 3.25 feet
Hοwever, we are asked tο express the answer in inches, sο we need tο cοnvert the 3.25 feet tο inches using the given cοnversiοn factοr:
3.25 feet x 12 inches/1 fοοt = 39 inches
Therefοre, the hοle needs tο be 39 inches deeper.
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Trina has a credit card that uses the adjusted balance method. For the first 10
days of one of her 30-day billing cycles, her balance was $780. She then
made a purchase for $170, so her balance jumped to $950, and it remained
that amount for the next 10 days. Trina then made a payment of $210, so her
balance for the last 10 days of the billing cycle was $740. If her credit card's
APR is 17%, which of these expressions could be used to calculate the
amount Trina was charged in interest for the billing cycle?
OA. (30)($780)
365
B.
O C.
D.
0.17
365
0.17
365
0.17
365
30
30
(10 $780+10 $950 +10 $210)
30
10
$780+10$950+10 $740
30
•30) ($570)
The expression that could be used to calculate the amount Trina was charged in interest for the billing cycle is (APR / 365) x 30 days x adjusted balance.
What is the adjusted balance method?The adjusted balance method is one of the methods for computing the finance charge (interest and other fees) for credit cards.
The adjusted balance is the ending balance determined after adjusting the opening balance with purchases and payments.
Credit card interest method = adjusted balance method
Beginning balance = $780
Purchase = $170
Payment = $210
Adjusted balance, AB = $740 ($780 + $170 - $210)
APR = 17% = 0.17 (17/100)
The interest charged = (APR / 365) x 30 days x adjusted balance
= $10.34 [(0.17/365) x 30 x $740]
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Point c (2,2) is the center of the circle. what is the ratio of ac to the length of dc?
1) 1:2
2) 2:1
3) 1:1
4) 3:1
1. If 2x + 3y = 14 and 3x + 2y = 12, then x + y = ?
A) 5
B) 6
C) 7
D) 8
Answer:
x + y = 5.2-----------------
Given system:
2x + 3y = 14 and3x + 2y = 12Add up the two equations to get same coefficient on both variables:
2x + 3x + 3y + 2y = 14 + 125x + 5y = 265(x + y) = 26x + y = 26/5x + y = 5.2As we see none of the choices match the answer. It means either question or answer choices are inaccurate.
Assume that military aircraft use ejection seats designed for men weighing between 132. 4132. 4 lb and 217217 lb. If women's weights are normally distributed with a mean of 168. 7168. 7 lb and a standard deviation of 48. 848. 8 lb, what percentage of women have weights that are within those limits
The percentage of women with weights that are within the limits is:
60.93%
What percentage of women have weights that are within those limits?Can be calculated using the normal distribution formula. First, we need to find the z-scores for both the lower and upper limits:
z-score for lower limit = (132.4 - 168.7) / 48.8 = -0.74
z-score for upper limit = (217 - 168.7) / 48.8 = 0.99
Next, we can use a z-table to find the corresponding probabilities for these z-scores:
Probability for lower limit = 0.2296
Probability for upper limit = 0.8389
Finally, we can subtract the lower probability from the upper probability to find the percentage of women with weights that are within those limits:
Percentage = 0.8389 - 0.2296 = 0.6093
Therefore, approximately 60.93% of women have weights that are within the limits of 132.4 lb and 217 lb.
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David's monthly bank statement showed the following deposits and withdrawals:
$77.25,-$50.11, -$25.45, $79.83, $29.47
If David's balance in the account was $34.35 at the
beginning of the month, what was the account balance at the
end of the month?
Answer:
Step-by-step explanation:
Take the sum of all the components and you will get the account balance
+$77.25
-$50.11
-$25.45
+$79.83
+$29.47
+$34.35 (also add the starting balance
= $145.34
f(x)=log4(x-2)
Over what interval of the domain f positive?
The interval over which the graphed function is positive is given as follows:
(3, ∞).
When a function is positive?The intervals for which a function is positive are the intervals for which the function graph lies above the x-axis.
For this problem, the function crosses the x-axis at x = 3, and then is positive for the entire remaining domain, hence the interval is given as follows:
(3, ∞).
This means that the correct option is given by option D.
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La asistencia a un juego fue de 250 personas el boleto  de admisión para un adulto fue de 100 y el de los niños de 50 si la recaudación fue de 21,000 ¿cuantos adultos y cuántos niños pagaron el boleto?
The number of adults who paid for the ticket are 170 adults and the number of children who paid for the ticket are 80 children.
How to determine the number of each type of tickets sold?In order to write a system of linear equations to describe this situation, we would assign variables to the number of adult tickets sold and number of children tickets sold, and then translate the word problem into an algebraic equation as follows:
Let the variable x represent the number of adult tickets sold.Let the variable y represent the number of children tickets sold.Since 250 people attended the game, a linear equation that models the situation is given by:
x + y = 250 ....equation 1.
Additionally, adult tickets sold for $100 while children tickets sold for $50 each with a total revenue was $21,000, a linear equation that models the situation is given by:
100x + 50y = 21,000 .......equation 2.
By using the substitution method to solve the equations simultaneously, we have:
100x + 50(250 - x) = 21,000
100x + 12,500 - 50x = 21,000
50x = 21,000 - 12,500
x = 8,500/50
x = 170 adults.
For the children tickets sold, we have:
y = 250 - x
y = 250 - 170
y = 80 children.
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Complete Question:
Attendance at a game was 250 people, the admission ticket for an adult was $100 and for children $50, if the collection was $21,000, how many adults and how many children paid for the ticket?
To construct a square inscribed in a circle, match the corresponding steps to the proper order. (basically match the steps to the proper label) 1-6 steps
To construct a square inscribed in a circle we will follow the next steps:
Step 1. Construct a circle and label its center point O:
Step 2. Now, we use a straightedge to draw a diameter with end-points A and B:
Step 3. We construct a perpendicular line to the diameter with endpoints C and D:
Step 4. We join the points:
And thus we get the square inscribed in a circle.
cuanto es 6 dividido por 19?
Answer:
0.3157894
Step-by-step explanation:
calculator ........................... ..... .
Answer:
0.315789474
6/19= 0.315789474
i don’t know how to figure this out please help me
Answer:
Reverse
Step-by-step explanation:
Do the whole thing backwards in sentence
Start with y
Multiply by 7
Add 14
Take the square root
You end the number y.
lying Addition and Subtraction of Integers
A bus makes a stop at 2:30, letting off 15 people and letting on 9. The
bus makes another stop ten minutes later to let off 4 more people.
How many more or fewer people are on the bus after the second stop
compared to the number of people on the bus before the 2:30 stop?
After the second stop, there are 10 fewer people on the bus compared to the number of people on the bus before the 2:30 stop.
Before the 2:30 stop, the bus let off 15 people and let on 9 people. The total change in the number of people at that stop is -15 (let off) + 9 (let on) = -6.
Therefore, there are 6 fewer people on the bus after the 2:30 stop compared to before that stop.
Ten minutes later, the bus makes another stop and lets off 4 more people. This additional change needs to be considered.
Since the previous calculation only accounted for the changes up until the 2:30 stop, we need to adjust the total change by including the subsequent stop.
Adding the change of -4 (let off) to the previous total change of -6, we get a new total change of -10.
Therefore, after the second stop, there are 10 fewer people on the bus compared to the number of people on the bus before the 2:30 stop.
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a park has a 3 meter (m) tall tether ball pole and a 6.8 m tall flagpole. the lengths of their shadows are proportional to their heights. which of the following could be the lengths of the shadow?
An ant walks 9 3/4 feet in 3/4 minute. The distance in feet the ant walks is directly proportional to the time in minutes the ant walks. What is the constant of proportionality that relates the distance in feet the ant walks to the time in minutes it takes the ant to walk that distance?
Answer:
\(7\frac{5}{16}\) ANSWER (C.
Step-by-step explanation:
Multiply \(9\frac{3}{4}\) by \(\frac{3}{4}\) to get \(\frac{117}{16}\)
-
\(7\frac{5}{16} = \frac{117}{16}\)
because 7 multiply by 16 plus 5 = 117
So 117 over 16
is the same as \(7\frac{5}{16}\) .
Find the value of x that makes A||B.5x
A and B measure the same because they are Exterior opposite angles.
Then,
5x = 4x + 12
5x - 4x = 12
x = 12
Check
5x = 5(12) = 60
4(12) + 12 = 48 + 12 = 60
Then, x = 12
What is the slope-intercept equation of the line below?
Answer:
B y= -5/4x+3
Step-by-step explanation:
what is the scale on a map or drawing used for
Answer:
cm scale
Step-by-step explanation:
it may help you to understand
Please anyone that can help me
Answer:
\(|\frac{x}{y} |\)
Step-by-step explanation:
Pre-SolvingWe are given the following expression: \(\sqrt\frac{x^3y^5}{xy^7}\), where x > 0 and y > 0.
We want to simplify it.
To do that, we can first simplify what is under the radical, then take the square root of what is left.
Recall that when simplifying exponents, we don't want any negative or non-integer radicals left.
SolvingTo simplify what is under the radical, we can remember the rule where \(\frac{a^n}{a^m} = a^{n-m}\).
So, that means that \(\frac{x^3}{x} = x^2\) and \(\frac{y^5}{y^7} = y^{-2}\) .
Under the radical, we now have:
\(\sqrt{x^2y^{-2}}\)
Now, we take the square root of both exponents to get:
\(|xy^{-1}|\)
The reason why we need the absolute value signs is because we know that x > 0 and y > 0, but when we take the square root of of \(x^2\) and \(y^{-2}\) , the values of x and y can be either positive or negative, so by taking the absolute value, we ensure that the value is positive.
However, we aren't done yet; remember that we don't want any radicals to be negative, and the integer of y is negative.
Recall that if \(a^{-n}\), that is equal to \(\frac{1}{a^n}\).
So, by using that,
\(|x * \frac{1}{y} |\)
This can be simplified to:
\(|\frac{x}{y} |\)
Consider the following question.
"Do you watch television every day?"
Which of the following statements BEST explains why the question is NOT a statistical question?
A The question does not anticipate variability in the answers
B The question results in a single absolute answer.
C The question may be answered differently by different people.
D. The question does not require an explanation
Answer:
a
Step-by-step explanation:
Answer:
C, the only info for the question is about yourself which is a survery question
Step-by-step explanation:
what is the answer to this question
Two y angles and the angle that is 35 degrees in total is 180 degrees, so we get the equation
y + y + 35 = 180
2y = 145
y = 72.5 degrees
Two y angles and a x angle is in total 180 degrees, so we get the equation
y + y + x = 180
2y + x = 180
2(72.5) + x = 180
x = 35 degrees
Hope that helps!
A box of 6 mini muffins costs $2.34. Which are equivalent prices? Select the three that apply.
A. $0.39 per muffin
B. $1.40 for 4 muffins
C. $3.12 for 8 muffins
D. $3.09 for 10 muffins
E. $7.80 for 20 muffins
Answer:
A
Step-by-step explanation:
2.34 divided by 6 so then that gives you o.39
In a painting of the Mona Lisa, the length of the painting is 4 1/2 inches. Milo scales the drawing up by 2 3/4?
what kind of idiotic question is that
does a idiot teacher exists?
James types 25 words per minute. He be spends 15 minutes type in his homework what is the domain of the situation
Answer:
he types 375 words in 15 minutes.
Step-by-step explanation:
25x15=375
The domain of the given situation is all numbers between and including 0 and 15.
What is Domain ?The domain of a function is the set of values that we are allowed to put into our function.
This set is the x values in a function
The domain is the independent variable (x)
In this case time is independent and
so Jame can type anywhere between 0 to 15 minutes so the domain can be written as
function(x) = {all numbers between and including 0 and 15}
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HURRY PLEASE PLEASE HURRY FAST HURRY
Answer:
The volume of the rectangular prism should be 4.096.
Answer:
Solution given:
edge length[l³]=1/4cm
192 cubes inside the prism,.
volume =256×1/4³=256×1/64=4cm³ is your answer
The question below is fill-in-the-blank. Be sure that you follow the instructions since it is computer graded. Either fill in the exact value you get from StatCrunch (no rounding) OR write your answer selection exactly as it is written.
A soft-drink company is conducting research to select a new design for the can. A random sample of participants has been selected. Instead of a typical taste test with two different sodas, they gave each participant the same soda in two different cans. One can was predominantly red, and the other predominantly blue. The order was chosen randomly. Participants were asked to rate each drink on a scale of 1 to 10. The data are recorded below and α=0.05.
Rater Red Blue
1 4 2
2 7 4
3 3 9
4 8 8
5 5 2
6 9 9
7 7 3
8 5 7
9 6 6
10 9 9
11 8 7
12 3 10
13 6 3
14 8 4
15 9 5
16 7 6
Does this sample indicate that there is a difference in the ratings based on can color? Test an appropriate hypothesis. Assume conditions have been met and that µd = red - blue
Hypotheses:
H0: µd=0; The mean difference of ratings is zero.
H0: µd (<, >, not equal to) 0; The mean difference of ratings is (greater than, less than, different than) zero.
Calculations: Type each value EXACTLY as they are given in StatCrunch
Mean:
Std. Err.:
DF:
T-Stat:
P-value:
Conclusion:Since the P-value is (low, high), we (reject, fail to reject) the null hypothesis. There (is/is not) sufficient evidence to suggest that can color (increases, reduces, changes) the average rating of the soda.
Answer:
Step-by-step explanation:
Hello!
The random sample of n= 16 participants was asked to taste test two different sodas cans and rate them on a scale from 1 to 10. The cans contained the same type of soda but differ in color.
Since each participant tasted and ranked the two types of soda cans, you have per person a pair of data (X₁;X₂):
Where
X₁: Rank given to the red soda.
X₂: Rank given to the blue soda.
As said, the data is arranged in pairs per experimental unit, so these two variables are dependent, to study them is best to determine a third variable, the difference between X₁ and X₂:
Xd: X₁ - X₂
Assuming Xd~N(μd;σd²)
The objective is to test if there is any difference between the ratings based on the can color. The statistic hypotheses are:
H₀: μd=0
H₁: μd≠0
To calculate the descriptive statistics you have to calculate first the difference of each pair of ratings (see table in attachment)
Mean:
X[bar]d= ∑Xd/n= -6/16= -0.38
Variance
\(S_d^2=\frac{1}{n-1} [sumX_d^2-\frac{(sumXd)^2}{n} ]= \frac{1}{15}[64-\frac{(-6)}{^16} ]= 4.12\)
Standard deviation
Sd= √4.12= 2.03
Statistic \(t= \frac{X[bar]_d-Mu_d}{\frac{Sd}{\sqrt{n} } } ~~t_{n-1}\)
Df: n-1= 16-10 15
\(t_{H_0}= \frac{-0.38-0}{\frac{2.03}{4} } = -0.74\)
P-value:
P(t₁₅≤-0.74) + P(t₁₅≥0.74)= P(t₁₅≤-0.74) + (1 - P(t₁₅≤0.74))= 0.2354 + (1 - 0.7646)= 0.4708
The decision rule for the p-value approach is:
If p-value ≤ α, reject the null hypothesis.
If p-value > α, do not reject the null hypothesis.
α: 0.05
The p-value is greater than the level of significance, the decision is to not reject the null hypothesis.
At a 5% significance level, there is no significant evidence to reject the null hypothesis. You can conclude that there is no difference between the rankings of the red and blue cans. I.e. there is no evidence to suggest that the can color changes the average ranting of the soda.
I hope this helps!
Which number is the BASE?
2^3 = 8
Answer:
2
Step-by-step explanation:
Answer:
2 is the base
Step-by-step explanation:
................
Six sophomores and 14 freshmen compete
Answer:
(6C1)(5C1)/20C2
Step-by-step explanation:
Was right on egde
Ax^2+bx+c=2(x-1)(2x+3)+(x^2-4x+2)
The quadratic form ax² + bx + c for the given set of factors is 5x² - 2x - 4.
How do we determine the quadratic equation (ax^2+bx+c) from a given set of factors?The quadratic equation that takes the form ax^2+bx+c can be determined from a given set of factors by applying the rule:
a + (b + c) = a + b + cLet us expand the eqaution: 2(x-1) (2x+3)
Ax^2+bx+c = 2(x-1) (2x+3) + x^2-4x+2So, we have:
2(x - 1)(2x + 3) ⇒ 4x² + 2x - 6.
= 4x² + 2x - 6 + x² - 4x + 2
Now, let us group like terms, we have:
= 4x² + x² + 2x - 4x - 6 + 2
= 5x² - 2x - 4
Therefore, we can conclude that the quadratic form ax² + bx + c for the given set of factors is 5x² - 2x - 4.
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Gerolamo Cardano in his book, The Gambling Scholar, written in the early
1500s, considers the following carnival game. There are six dice. Each of the
dice has ve blank sides. The sixth side has a number between 1 and 6|a
dierent number on each die. The six dice are rolled and the player wins a
prize depending on the total of the numbers which turn up.
(a) Find, as Cardano did, the expected total without nding its distribution.
(b) Large prizes were given for large totals with a modest fee to play the
game. Explain why this could be done.
Therefore , \((\frac{1}{6})^{2}\) is the probability of getting 5 of same number on all the dice.
what is probability?The probability of winning is actually closer to 1/3 (25/72). Carnival game operators want you to think that a game is fair like I did, so that you will play. If you knew that the probability of winning a game was only about 1/3, most likely you would not waste your money.
Mathematical descriptions of the likelihood that an event will occur or that a claim will be true are called probabilities.
Here,
\((\frac{1}{6})^{2}\) is the probability of getting 5 of same number on all the dice.
Therefore , \((\frac{1}{6})^{2}\) is the probability of getting 5 of same number on all the dice.
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PLS ANSWER QUICKLY PLS!!!!!
The annual number of viewers for a new cable television network can be approximated by the expression 49+t • 5-t, where t represents the number of years since its inception. Rewriting this expression will reveal the annual rate of change in viewers.
Which best describes the change in viewers the network is experiencing?
A. Each year, the total number of viewers decreases to approximately 80% of the previous year's total.
B. Each year, the total number of viewers increases to approximately 120% of the previous year's total.
C. Each year, the total number of viewers decreases to approximately 95% of the previous year's total.
D. Each year, the total number of viewers increases to approximately 180% of the previous year's total.
The option that best describes the change in viewers the network is experiencing is B. Each year, the total number of viewers increases to approximately 120% of the previous year's total.
How to explain the dataWhen 't' surpasses 1/ln(5) at 3.5, the expression yields a negative result; connoting the network is witnessing a dwindling viewership.
Consequently, the network initially experiences an intensifying viewership ratio which then fades; in accordance with Option B, "Each year, the total number of viewers increases to roughly 120% of the preceding year's sum". Clearly, this demarcation reveals itself as the accurate answer.
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