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jeka94
3 years ago
13

Karla's traditional hybrid car gets 35% fewer miles per gallon than Jeenie's solar hybrid car. If Jeenie's car gets 60 miles per

gallon, how many miles per gallon does Karla's car get? Calculate Karla's car mileage in two different ways, using two different scale factors (multipliers).
Mathematics
1 answer:
Helga [31]3 years ago
4 0

Answer:

39\ miles/gallon

Step-by-step explanation:

Let

x------> Karla's car mileage

1) First way

we know that

100%-35%=65%=65/100=0.65

so

x=0.65(60 miles/gallon)=39 miles/gallon

2) Second way

by proportion

\frac{60}{100} \frac{(miles/gallon)}{\%} =\frac{x}{65} \frac{(miles/gallon)}{\%}\\ \\x=60*65/100\\ \\x=39\ miles/gallon

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Plse help me dawdawdawd
Maksim231197 [3]
12+6x was subtracted from the left but only 12 was subtracted from the right.

6x and 6 are not equal unless x=1

X=-11/15
3 0
2 years ago
Please help me. Should I know this?
slega [8]

you don't need to know this for real life situations but for school you do need to know it, i dont know how to do this but here's a link to the same question you have but it's explained on how to solve it

https://www.wyzant.com/resources/answers/499729/fireworks_can_go_up_to_1000_feet_in_around_3_seconds_what_s_is_it_s_average_vertical_speed_in_feet_per_second_and_miles_per_hour

((Also i'm a fellow ARMY as well =) ))

7 0
3 years ago
Evaluate the expression. r = , v = , w = v ⋅ w
FromTheMoon [43]

Answer:

v . w= -13

Step-by-step explanation:

Evaluate the expression: v ⋅ w Given the vectors: r = <8, 1, -6>; v = <6, 7, -3>; w = <-7, 5, 2>

Solution

Given the vectors:

r = <8, 1, -6>

v = <6, 7, -3>

w = <-7, 5, 2>

If you're asking about the dot product.

The dot product is a scalar. It is the sum of the product of the corresponding components.

v.w = (6*-7) + (7*5) + (-3*2)

= -42+35-6

= -13.

6 0
3 years ago
Last year, Shantell bought a car for $24,000. The current value of the car is $21,000. Find the percent decrease in the value of
Morgarella [4.7K]
<span>Last year, Shantell bought a car for 24 000 dollars. It decreases to 21 000 dollars this current year.
Let’s find for the percentage that it decreased.
=> in 24 000 the 50% is 12 000 as we all know since it’s divided by 2. So meaning, the possible answer is less than 50%.
=> now 25% of 24 000 is 6 000, and the amount that we’re looking is 3000, thus, the answer is 12.5%
=> 24 000 * 0.125 = 3000
=> 24 000 – 3000 = 21 000</span>



4 0
3 years ago
An air transport association surveys business travelers to develop quality ratings for transatlantic gateway airports. The maxim
Flura [38]

Answer:

The 95% confidence interval estimate of the population mean rating for Miami is (6.0, 7.5).

Step-by-step explanation:

The (1 - <em>α</em>)% confidence interval for the population mean, when the population standard deviation is not provided is:

CI=\bar x \pm t_{\alpha/2, (n-1)}\cdot \frac{s}{\sqrt{n}}

The sample selected is of size, <em>n</em> = 50.

The critical value of <em>t</em> for 95% confidence level and (<em>n</em> - 1) = 49 degrees of freedom is:

t_{\alpha/2, (n-1)}=t_{0.05/2, 49}\approx t_{0.025, 60}=2.000

*Use a <em>t</em>-table.

Compute the sample mean and sample standard deviation as follows:

\bar x=\frac{1}{n}\sum X=\frac{1}{50}\times [1+5+6+...+10]=6.76\\\\s=\sqrt{\frac{1}{n-1}\sum (x-\bar x)^{2}}=\sqrt{\frac{1}{49}\times 31.12}=2.552

Compute the 95% confidence interval estimate of the population mean rating for Miami as follows:

CI=\bar x \pm t_{\alpha/2, (n-1)}\cdot \frac{s}{\sqrt{n}}

     =6.76\pm 2.000\times \frac{2.552}{\sqrt{50}}\\\\=6.76\pm 0.722\\\\=(6.038, 7.482)\\\\\approx (6.0, 7.5)

Thus, the 95% confidence interval estimate of the population mean rating for Miami is (6.0, 7.5).

7 0
3 years ago
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