Answer:
[tex]z=\frac{0.276 -0.3}{\sqrt{\frac{0.3(1-0.3)}{735}}}=-1.42[/tex]
Now we can claculate the p value with this formula:
[tex]p_v =P(z<-1.42)=0.0778[/tex]
If we use a signifiacn level of 5% we see that the p value is higher than 0.05 so then we have enough evidence to fail to reject the null hypothesis and we can't conclude that the true proportion is significantly higher than 0.3 at 5% of significance.
Step-by-step explanation:
Information to given
n=735 represent the random sample taken
X=203 represent the number of people who have their prostate regularly examined
[tex]\hat p=\frac{203}{735}=0.276[/tex] estimated proportion of people who have their prostate regularly examined
[tex]p_o=0.3[/tex] is the value to verify
z would represent the statistic
[tex]p_v[/tex] represent the p value
System of hypothesis
We want to test if the true proportion is less than 0.3, the ystem of hypothesis are.:
Null hypothesis:[tex]p \geq 0.3[/tex]
Alternative hypothesis:[tex]p < 0.3[/tex]
The statistic is given by:
[tex]z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}[/tex] (1)
Replacing the info we got:
[tex]z=\frac{0.276 -0.3}{\sqrt{\frac{0.3(1-0.3)}{735}}}=-1.42[/tex]
Now we can claculate the p value with this formula:
[tex]p_v =P(z<-1.42)=0.0778[/tex]
If we use a signifiacn level of 5% we see that the p value is higher than 0.05 so then we have enough evidence to fail to reject the null hypothesis and we can't conclude that the true proportion is significantly higher than 0.3 at 5% of significance.
Please answer this correctly
Answer:
17.85 feet.
Step-by-step explanation:
Area = 1/4 * 3.14 * r^2 where r is the radius
So r^2 = 19.625 / (1/4 * 3.14)
r^2 = 25
r = 5 feet.
The perimeter = 2r + 1/4 * 2* 3.14*r
= 2*5 + 7.85
= 17.85 feet.
i have a problem on statistics
5. Data on household vehicle miles of travel (VMT) are compiled annually by the Federal Highway Administration and are published in National Household Travel Survey, Summary of Travel Trends. Independent random samples of 15 midwestern households and 14 southern households provided the following data on last year’s VMT, in thousands of miles. At the 5% significance level, does there appear to be a difference in last year’s mean VMT for midwestern and southern households? Use both p-value and critical value approach. Assume population variance to be equal
Midwest
16.2 , 14.6 , 11.2 , 24.4 , 9.4 12.9 , 18.6 , 16.6 , 20.3 ,15.1 , 17.3 , 10.8 , 16.6 , 20.9 , 18.3
South
22.2, 19.2 , 9.3 , 24.6 ,20.2 , 15.8, 18.0 , 12.2 , 20.1 , 16.0 , 17.5 , 18.2 , 22.8 , 11.5
Answer:
Step-by-step explanation:
Hello!
The objective is to compare the VMT of mid western households and southwestern households. For this two independent random samples of households from both areas and their VMT were recorded:
Be
X₁: VMT of a mid western household
Midwest
16.2 , 14.6 , 11.2 , 24.4 , 9.4 12.9 , 18.6 , 16.6 , 20.3 ,15.1 , 17.3 , 10.8 , 16.6 , 20.9 , 18.3
n₁= 15
∑X₁= 243.20
∑X₁²= 4175.98
X[bar]₁= 16.21
S₁²= 16.64
S₁= 4.08
X₂: VMT of a southwestern household
22.2, 19.2 , 9.3 , 24.6 ,20.2 , 15.8, 18.0 , 12.2 , 20.1 , 16.0 , 17.5 , 18.2 , 22.8 , 11.5
n₂= 14
∑X₂= 247.60
∑X₂²= 4633.24
X[bar]₂= 17.69
S₂²= 19.56
S₂= 4.42
The parameters of study are the population means, if the claim is that the VMT of households is different in both areas, then you'd expect the population means to be different too.
The hypotheses are:
H₀: μ₁ = μ₂
H₁: μ₁ ≠ μ₂
α: 0.05
Assuming both populations are normal and since both population variances are equal the test to apply is an independent samples t test pooled variance:
[tex]t= \frac{(X[bar]_1-X[bar]2)-(Mu_1-Mu_2)}{Sa*\sqrt{\frac{1}{n_1} +\frac{1}{n_2} } } ~~t_{n_1+n_2-2}[/tex]
[tex]Sa^2= \frac{(n_1-1)S_1^2+(n_2-1)S_2^2}{n_1+n_2-2} = \frac{14*16.67+13*19.56}{15+14-2}= \frac{487.66}{27} = 18.06[/tex]
Sa= 4.249= 4.25
[tex]t_{H_0}= \frac{(16.21-17.69)-0}{4.25*\sqrt{\frac{1}{15} +\frac{1}{14} } }= -0.937= -0.94[/tex]
Critical value approach:
This test is two-tailed, this means that the rejection region is divided in two tails:
[tex]t_{n_1+n_2-2; \alpha /2}= t_{27; 0.025}= -2.052[/tex]
[tex]t_{n_1+n_2-2; 1-\alpha /2}= t_{27; 0.975}= 2.052[/tex]
The decision rule is:
If [tex]t_{H_0}[/tex] ≤ -2.052 or if [tex]t_{H_0}[/tex] ≥ 2.052, reject the null hypothesis.
If -2.052 < [tex]t_{H_0}[/tex] < 2.052, do not reject the null hypothesis.
The calculated value is within the "no rejection region" so the decision is to not reject the null hypothesis.
Using the p-value approach:
The p-value is the probability of obtaining a value as extreme as the calculated value of the statistic under the null hypothesis ([tex]t_{H_0}[/tex]). Just as the significance level, the p-value is two tailed, you can calculate it as:
P(t₂₇ ≤ -0.93) + P(t₂₇ ≥ 0.93)= P(t₂₇ ≤ -0.93) + (1 - P(t₂₇ < 0.93)= 0.1796 + ( 1 - 0.8204)= 0.1796*2= 0.3592
p-value= 0.3592
The p-value is always compared to the significance level, the decision rule for this approach is:
If the p-value ≤ α, reject the null hypothesis.
If the p-value > α, do not reject the null hypothesis.
The p-value is greater than α, so 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 the population means of the VMT for households of the Midwest South ers households.
I hope this mhelps!
Lori rented a booth at the craft fair for $200 to sell baskets she made. The cost of the materials for each basket was $8. Lori sells the baskets for $20 each. How many baskets does she have to sell to make a profit?
Answer:
15 baskets
Step-by-step explanation:
Jenn uses 6 cups of flour to bake 40 muffins. How many muffins can she can bake if she has 15 cups of flour?
Answer:
100 muffins
Step-by-step explanation:
We can use a ratio to solve
6 cups 15 cups
------------- = -----------
40 muffins x muffins
Using cross products
6x = 40*15
Divide each side by 6
6x/6 = 40*15/6
x =100
100 muffins
Answer:
100 muffins
Step-by-step explanation:
If she could bake 40 muffins with 6 cups, then she could bake 80 muffins with 12 cups. Then, we have 3 cups left over, which is half of 6, meaning she can only bake half of her regular amount with 3 cups, which would be 20. 80+20=100
40+40+20=100
(DONT REPORT OR ANSWER) pls don’t (what is -2 plus -2)
Answer:
I think it’s -4
Step-by-step explanation:
-2 plus -2 is -4
since 2 plus 2 is 4
Hope this helps ;)
Answer:
It is -4Step-by-step explanation:
It is because 2 plus 2 is 4
so -2 plus -2 is -4
hth!
Mr. Dylan asks his students throughout the year to record the number of hours per week they spend practicing math at
home. At the end of the year, he creates a scatter plot that models the relationship between exam score and time spent
practicing. Which line of best fit will give Mr. Dylan the most accurate linear equation in order to make predictions about
this relationship?
Answer:
see the attachment
Step-by-step explanation:
A "line of best fit" generally has about as much data above the line as below it. If the data has any trend, it generally follows the trend.
The best choice here is B.
Answer:Answer:
see the attachment
Step-by-step explanation:
A "line of best fit" generally has about as much data above the line as below it. If the data has any trend, it generally follows the trend.
The best choice here is B.
Step-by-step explanation:
The functions f(x) and g(x) are graphed.
On a coordinate plane, a curved red line with an upward arc, labeled g of x, crosses the y-axis at (0, 4) and the x-axis at (2, 0). A straight blue line with a negative slope, labeled f of x, crosses the y-axis at (0, 4) and the x-axis at (2, 0).
Which represents where f(x) = g(x)?
f(2) = g(2) and f(0) = g(0)
f(2) = g(0) and f(0) = g(4)
f(2) = g(0) and f(4) = g(2)
f(2) = g(4) and f(1) = g(1)
Answer: first answer choice
Step-by-step explanation:
They give us that f(0) and g(0) = 4 and f(2) = g(2) = 0, so the answer is simply the first one. When x=0, y=4 for both and when x=2, y=0 for both.
Hope that helped,
-sirswagger21
Answer:
A
Step-by-step explanation:
on edge
"Children under the age of 13 are not allowed to operate a boat." Part A: Write an inequality to show the age of children who are allowed to operate a boat. (5 points) Part B: Describe in words how you can show the solution to this inequality on a number line. (5 points)
Answer:
X ≤ 13
Step-by-step explanation:
Part A: X ≤ 13
Part B: Draw a closed circle from 13 and up on the number line.
Make the arrow look like this >.
The inequality will be x ≥ 13. The age of the person should be greater than or equal to 13.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
“Children under the age of 13 are not allowed to operate a boat.”
Let x be the age of the person.
The inequality to show the age of children who are allowed to operate a boat will be
x ≥ 13
The age of the person should be greater than or equal to 13.
More about the inequality link is given below.
https://brainly.com/question/19491153
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In a randomly selected sample of 500 Phoenix residents, 445 supported mandatory sick leave for food handlers. Legislators want to be very confident that voters will support this issue before drafting a bill. What is the 99% confidence interval for the percentage of Phoenix residents who support mandatory sick leave for food handlers?
Answer:
The 99% confidence interval for the percentage of Phoenix residents who support mandatory sick leave for food handlers is between 85.40% and 92.60%.
Step-by-step explanation:
Confidence interval for the proportion:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
For this problem, we have that:
[tex]n = 500, \pi = \frac{445}{500} = 0.89[/tex]
99% confidence level
So [tex]\alpha = 0.01[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.89 - 2.575\sqrt{\frac{0.89*0.11}{500}} = 0.8540[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.89 + 2.575\sqrt{\frac{0.89*0.11}{500}} = 0.9260[/tex]
For the percentage:
Multiply the proportion by 100.
0.8540*100 = 85.40%
0.9260*100 = 92.60%
The 99% confidence interval for the percentage of Phoenix residents who support mandatory sick leave for food handlers is between 85.40% and 92.60%.
The Tennessean, an online newspaper located in Nashville, Tennessee, conducts a daily poll to obtain reader opinions on a variety of current issues. In a recent poll, readers responded to the following question: "If a constitutional amendment to ban a state income tax is placed on the ballot in Tennessee, would you want it to pass? Possible responses are yes or no,or not sure.
Required:
a. What was the sample size for this poll?
b. Are the data categorical or quantitative?
c. Would it make more sense to use averages or percentages as a summary of the data for this question?
d. Of the respondents, 67% said Yes, they would want it to pass. How many individuals provided this response?
Answer:
Step-by-step explanation:
a. The sample size for the poll would be at most 10% of the total readers of the tennessean.
b. Categorical data...data collected in groups or categories.
c. Yes it would make more sense to use percentages as this gives a better estimate for proportion.
d. The number of individual that provided this response is 67% of the sample size (which is at most 10% of the total population of readers of the online newspaper).
A marine biologist is preparing a deep-sea submersible for a dive. The sub stores breathing air under high pressure in a spherical air tank that measures wide. The biologist estimates she will need of air for the dive. Calculate the pressure to which this volume of air must be compressed in order to fit into the air tank. Write your answer in atmospheres. Round your answer to significant digits.
The complete question is;
A marine biologist is preparing a deep-sea submersible for a dive. The sub stores breathing air under high pressure in a spherical air tank that measures 78.0 cm wide. The biologist estimates she will need 2600 L of air for the dive. Calculate the pressure to which this volume of air must be compressed in order to fit in to the air tank. Write you answer in atmospheres
Answer:
10.5 atm
Step-by-step explanation:
Formula for Volume of a sphere is;
V = (4/3)πr³
r = 78/2 = 39 cm
V = (4/3)π(39)³
V = (4/3)*π*59319
V = 248475 cm³
Now, from conversions, 1000 cm³ = 1L
So,
V = 248475/1000
V = 248.5 L
This is the volume of the storage tank
If we assume that the 2600 L of air is measured at 1 atmosphere pressure, then we will obtain the following relationship:
From Boyles law,
P1 × V1 = P2 × V2
Thus;
(1 atm) × (2600 L) = (P2) × (248.5 L)
P2 = 2600/248.5
P2 = 10.463 atmospheres
Approximating to 3 significant figures is; P2 = 10.5 atm
What is the volume of a rectangular prism with a length of 12ft, a width of 10ft, and a height of 18ft?
Answer:
2160ft³
Step-by-step explanation:
V=whl=10·18·12=2160ft³
What is the difference?
х
4
x2-2x-15 x² + 2x-35
x2 + 3x+12
(x-3)(x-5)(x+7)
x(x+3-12)
(x+3)(x-5)(x+7)
x2 + 3x+12
(x+3)(x-5)(x+7)
x2 + 3x-12
(x+3)(x-5)(x+7)
The difference of the equation is A = ( x² - 3x - 12 ) / ( x + 3 ) ( x - 5 ) ( x + 7 )
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
Let the first equation be P = x / ( x² - 2x - 15 )
Let the second equation be Q = 4 / x² + 2x - 35 )
Now , A = P - Q
On simplifying , we get
A = x / ( x² - 2x - 15 ) - 4 / x² + 2x - 35 )
Taking the LCM , we get
A = x ( x + 7 ) - 4 ( x + 3 ) / ( x + 3 ) ( x - 5 ) ( x + 7 )
A = x² + 7x - 4x + 12 / ( x + 3 ) ( x - 5 ) ( x + 7 )
A = ( x² - 3x - 12 ) / ( x + 3 ) ( x - 5 ) ( x + 7 )
Therefore , the value of A is ( x² - 3x - 12 ) / ( x + 3 ) ( x - 5 ) ( x + 7 )
Hence , the equation is A = ( x² - 3x - 12 ) / ( x + 3 ) ( x - 5 ) ( x + 7 )
To learn more about equations click :
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Factor 12q^2+34q-28. Include list of factors.
Answer:
2(2q+7)(3q-2)=0
Step-by-step explanation:
lets set up the equation equal to 0:
12q^2+34q-28=0
now, lets factor:
2(6q^2+17q-14)=0
2(2q+7)(3q-2)=0
now, lets find the solutions:
2q+7=0
2q=-7
q=-3.5
3q-2=0
3q=2
q=2/3
What’s the correct answer for this question?
Answer:
C
Step-by-step explanation:
A cylinder is formed when rotating the 3-D figure around y-axis
Use the compound interest formulas A = Pert and A = P(1 + ) to solve. Suppose that you have $11,000 to invest. Which investment yields the greater return over 10 years: 6.25% compounded continuously or 6.3% compounded semiannually? Show your work
Answer:
Continuously
Step-by-step explanation:
Compounded continuously:
A = Pe^(rt)
A = 11,000 e^(0.0625 × 10)
A = 20,550.71
Compounded semiannually (twice per year):
A = P(1 + r)^t
A = 11,000 (1 + 0.063/2)^(2×10)
A = 11,000 (1 + 0.0315)^20
A = 20,453.96
A line has a slope of -
Which ordered pairs could be points on a line that is perpendicular to this line? Select
Which ordered pairs coul
two options
Answer:
(a) -2,0 and 2,5 and (b) 2,-1 and 10,9
Question:
The question is incomplete without the answer choice. Let's consider the following:
A line has a slope of -4/5. Which ordered pairs could be points on a line that is perpendicular to this line? select two options
a) -2,0 and 2,5
b) -4,5 and 4,-5
c) -3,4 and 2,0
d) 1,-1 and 6,-5
e) 2,-1 and 10,9
Step-by-step explanation:
The ordered pairs that could be points on a line that is perpendicular to this line would have same slope as that of the line.
Let's check out the slope of the options.
The line has slope = -4/5
Slope = m = (y subscript 2 -y subscript 1)/(x subscript 2 - x subscript 1)
The coordinates is in the form of (x,y)
Find attached the workings.
a) -2,0 and 2,5
m = 5/4
b) -4,5 and 4,-5
m = -5/4
c) -3,4 and 2,0
m = -4/5
d) 1,-1 and 6,-5
m = -4/5
e) 2,-1 and 10,9
m = 5/4
Two lines are perpendicular if (m subscript 1) × (m subscript 2) = -1
In other words, the slopes
of the two lines must be negative reciprocals of each other.
If 1st slope = -4/5
For the lines to be perpendicular, the slope of every other line = 5/4
2nd slope = 5/4
The ordered pairs that are points on the line perpendicular to the line:
(a) -2,0 and 2,5 and (b) 2,-1 and 10,9
Answer:AandE
Step-by-step explanation:
Find the measure of angle b
Answer: The measure of angle B is 31 degrees.
Step-by-step explanation:
180 -149 = 31
Answer:
31 degrees
Step-by-step explanation:
We can see that 149 degrees and b are on a line. If they are next to each other they are called adjacent angles. There is a rule that adjacent angles add up to 180 degrees. So we subtract 149 from 180 and we get 31 degrees for angle b.
Hope this helps! :)
36°
I
80°
w
m
What equation can be used to calculate the measure of angle ? Describe, in words, the
process you would use to find
Answer:
44°
Step-by-step explanation:
A pair of angles formed from the intersection of two lines opposite to each other at the point of intersection (vertex) is called vertically opposite angles. These vertically opposite angles are congruent to each other (that means they are equal).
Since opposite angles are equal, the equation needed to calculate w is given as:
80° = 36° + w
w = 80° - 36°
w = 44°
True or False: As the value of cos(x) approaches 1 and the value of sin(x) approaches 0, the value of tan(x) approaches infinity
Answer: False
Step-by-step explanation:
We can write tan(x) = sin(x)/cos(x)
if cos(x) tends to 1, and sin (x) tends to 0 (this happens aronund the point x = 0)
then we have:
Tan(x) = 0/1 = 0
Then the statement is false, as cos(x) approaches 1 and sin(x) approaches 0, tan(x) also approaches 0.
the sum of two rational numbers is 8 if one of the numbers is -5/6 find the other
Answer:53/6
Step-by-step explanation:
Let X be the other rational number
-5/6+X=8
Add 5/6 to both sides
-5/6+5/6+X=8+5/6
0+X= 53/6 (inverse property)
X=53/6. (Identity property)
An oval shaped walking path at a local park is 3/4 of a mile long. Four walkers recorded the number of laps they walked and the time it took them in them.
laps Minutes
Amber. 3. 40. Bruno. 4. 54. Cady. 5. 75. Drake. 6. 72.
Match each walker to their corresponding unit rate in miles per hour................................................. 3 3/4 mph, 3 mph, 3 1/2mph, 3 1/4 mph, 3 3/8 mph and 3 2/3mph
Answer:
Amber = 3 3/8 mphBruno = 3 1/3 mphCady =3 mphDrake = 3 3/4 mphStep-by-step explanation:
Consider the calculations in the table below with the respective columns being: Name | Laps | Time | Time(in hours) |Total Distance | Unit Rate
[tex]\left|\begin{array}{c|c|c|c|c|c}---&---&---&----&----&---\\Amber&3&40&\frac{40}{60}&3*\frac{3}{4}=2.25&2.25 \div \frac{40}{60}= 3\frac{3}{8} \\\\Bruno&4&54&\frac{54}{60}&4*\frac{3}{4}=3&3 \div \frac{54}{60}= 3\frac{1}{3}\\\\Cady&5&75&\frac{75}{60}&5*\frac{3}{4}=3.75&3.75 \div \frac{75}{60}= 3 \\\\Drake&6&72&\frac{72}{60}&6*\frac{3}{4}=4.5&4.5 \div \frac{72}{60}= 3\frac{3}{4} \end{array}\right|[/tex]
We can then match each walker to their respective unit rates in miles per hour.
Amber = 3 3/8 mphBruno = 3 1/3 mphCady =3 mphDrake = 3 3/4 mphhelp asap giving branlist!!!
Answer:
Option 2
Step-by-step explanation:
So you know that you have to START with 16 gallons, so you can eliminate options 3 and 4.
Then calculate how long you can drive on 16 gallons. 75 * 4 = 300
It's option 2
Answer:
Option 2
Step-by-step explanation:
The slope will have to be negative since the amount of gas decreases as the miles traveled increased. If the car travels 75 miles on 4 gallons of gas it travels 75 * 4 = 300 miles on 16 gallons of gas, meaning (300, 0) is a point on the line. The only line that satisfies this is Option 2.
What is a unit rate?
A) a rate with one in the numerator
B) a rate in which the numerator and the denominator are equal
C) a rate with one in the denominator
D) a rate in which the denominator is greater than the numerator
Hey there! Welcome to Brainly! I"m happy to help!
The unit rate is how much there is of something per one unit. The word per basically means divided or a fraction. So, if something was a, the unit rate would be a/1.
Therefore, the unit rate is C) a rate with one in the denominator.
I hope that this helps! Have a wonderful day!
Simplify the following expression:
-5[(x^3 + 1)(x + 4)]
Answer:
[tex]-5x^{4} -20x^{3} -5x-20[/tex]
Step-by-step explanation:
[tex]-5[(x^{3} +1)(x+4)][/tex]
Use the FOIL method for the last two groups.
[tex]-5(x^{4} +4x^{3} +x+4)[/tex]
Now, distribute the -5 into each term.
[tex]-5x^{4} -20x^{3} -5x-20[/tex]
I run 200m in 32 seconds, how long will it take to run 5000m
Answer:
It will take 800seconds to you to run 5000m
Step-by-step explanation:
Let time taken to run 5000m is x
Using ratio and proportion
200:32=5000:x
200/32=5000/x
200*x=5000*32
200x=160000
x=800seconds
can someone please help me it’s urgent!!!!!
Answer:
6/4
Explanation:
If Alex can file the papers in the cabinets for 6 hours and 4 hours with Millie, then the fraction to represent the papers filed with Millie would be 6/4.
Hope this helps!
What’s the correct answer for this question?
Answer:
A. Schaid draws a white sock and a green sock. It did not talk about no green sock
Step-by-step explanation:
Brainliest AppreciatEdIf 4/3 * 3/4 = 5k, then k =
Answer:
1/5
Step-by-step explanation:
switch sides, delete both common factors and your stuck with 5k=1. then you put both in a fraction and it gets you 1/5
Solve the problem.
If a boat uses 25 gallons of gas to go 73 miles, how many miles
can the boat travel on 75 gallons of gas?
24 mi
438 mi
219 mi
239 mi
Answer:
For this problem we can use the following proportional rule:
[tex] \frac{73 mi}{25 gal}= \frac{x}{75 gal}[/tex]
Where x represent the number of miles that we can travel with 75 gallons. For this case we can use this proportional rule since by definition [tex] D=vt[/tex]. If we solve for x we got:
[tex] x =75 gal (\frac{73 mi}{25 gal}) =219mi[/tex]
And the best answer would be:
219 mi
Step-by-step explanation:
For this problem we can use the following proportional rule:
[tex] \frac{73 mi}{25 gal}= \frac{x}{75 gal}[/tex]
Where x represent the number of miles that we can travel with 75 gallons. For this case we can use this proportional rule since by definition [tex] D=vt[/tex]. If we solve for x we got:
[tex] x =75 gal (\frac{73 mi}{25 gal}) =219mi[/tex]
And the best answer would be:
219 mi