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1 year ago

Caleb's car used 8 gallons to travel 144 miles. How far can he travel on 20 gallons

Mathematics

1 answer:

V125BC [204]1 year ago

7 0

Answer:

He will travel 360 miles.

Step-by-step explanation:

Divide 144 by 8. Then multiply your answer by 20.

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High-power experimental engines are being developed by the Stevens Motor Company for use in its new sports coupe. The engineers

mamaluj [8]

Answer:

The 95% confidence interval the average maximum power is (596.0 to 644.0)

Step-by-step explanation:

Average maximum of the sample = x = 620 HP

Standard Deviation = s = 45 HP

Sample size = n = 16

We have to calculate the 95% confidence interval. The value of Population standard deviation is unknown, and value of sample standard deviation is known. Therefore, we will use one sample t-test to build the confidence interval.

Degrees of freedom = df = n - 1 = 15

Critical t-value associated with 95% confidence interval and 15 degrees of freedom, as seen from t-table = $t_{\frac{\alpha}{2}}$ = 2.131

The formula to calculate the confidence interval is:

$(x-t_{\frac{\alpha}{2} } \times \frac{s}{\sqrt{n} }, x+t_{\frac{\alpha}{2} } \times \frac{s}{\sqrt{n} })$

We have all the required values. Substituting them in the above expression, we get:

$(620-2.131 \times \frac{45}{\sqrt{16} }, 620+2.131 \times \frac{45}{\sqrt{16} })\\\\ =(596.0 , 644.0)$

Thus, the 95% confidence interval the average maximum power is (596.0 to 644.0)

7 0

2 years ago

It is 1 1/4 miles from Ahmed’s house to school. How far does Ahmed’s travel in 5 days walking to school and back

Sauron [17]

Ahmed travel $12\frac{1}{2}$ miles in 5 days walking to school and back.

Step-by-step explanation:

Distance from house to school = $1\frac{1}{4}$ miles

Distance from school to house = $1\frac{1}{4}$ miles

Total distance in 1 day = $1\frac{1}{4}+1\frac{1}{4}=\frac{5}{4}+\frac{5}{4}$

Total distance in 1 day = $\frac{5+5}{4}=\frac{10}{4}$

Distance traveled in 5 days = $5*\frac{10}{4}=\frac{50}{4}$

Distance traveled in 5 days = $\frac{25}{2}=12\frac{1}{2}$

Ahmed travel $12\frac{1}{2}$ miles in 5 days walking to school and back.

Keywords: fraction, addition

Learn more about fractions at:

#LearnwithBrainly

5 0

1 year ago

Let $f(x) = x^{10}-8x^8-8x^3+12x^2-5x-5$. Without using long division (which would be horribly nasty!), find the remainder when

valentina_108 [34]

Solution:

$f(x) = x^{10}-8x^8-8x^3+12x^2-5x-5$

We have to find the remainder when f(x) is divided by $x^2-1.$

x²-1=0

x= $\pm1$

$f(1)=1^{10}-8(1)^8-8(1)^3+12(1)^2-5(1)-5=1-8-8+12-5-5=1-16+12-10=13-26=-13\\\\f(-1)=(-1)^{10}-8(-1)^8-8(-1)^3+12(-1)^2-5(-1)-5=1-8+8+12+5-5=1+12=13$

So, remainder is 13 and -13.

5 0

1 year ago

Read 2 more answers

A private plane is traveling due east at a rate of 160 mph. A south wind is blowing 30 mph. What is the actual velocity of the p

photoshop1234 [79]

The resultant velocity of the plane is the sum of the two velocity vectors which are perpendicular to each other. See the attached figure.

The magnitude of the resultant velocity is

$\sqrt{160^2+30^2}= \sqrt{26500}=162.79 \;mph$ .

The approximate value of the actual velocity of the plane is $163 \;mph$ . Correct choice is (D).

8 0

2 years ago

What number is 1/10 as great as 7962

Sliva [168]

A number 1/10 as great as 7962 would be 796.2

You get this answer by either dividing 7,962 with 10 which gives you 769.2

Or you can multiply 7,962 with 1/10 to get 7,962/10. If you simplify then you get 796 1/5 or 796.2.

8 0

1 year ago

Read 2 more answers