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cricket20 [7]
3 years ago
13

A car travels 15 1/10 miles in 1/3 of an hour. What is the average speed, in

Mathematics
2 answers:
marusya05 [52]3 years ago
8 0
<h3><u>Given:- </u></h3>

\red{➤}\:\sf Distance \: travelled \: by \: Car= 15\dfrac{1}{10} miles

\quad\sf =\dfrac{10×15+1}{10}= \dfrac{151}{10} miles

\red{➤}\:\sf Time \: taken \: by \: Car= \dfrac{1}{3} \:hours

\\

<h3><u>To Find:-</u></h3>

\orange{☛}\:\sf Average \: Speed \: of  \:Car, \:in \: miles \: per \: hour

\\

<h3><u>Solution</u>:-</h3>

\underline{\tt{Formula\:Applied}}

\green{ \underline { \boxed{ \sf{Speed=\dfrac{Distance  \:travelled}{Time  \:taken}}}}}

\\

\underline{\tt\pink{Putting \:Values-}}

\begin{gathered}\\\quad\longrightarrow\quad \sf Speed=\frac{\frac{151}{10}}{\frac{1}{3}} \\\end{gathered}

\begin{gathered}\\\quad\longrightarrow\quad \sf Speed=\frac{151×3}{10×1} \\\end{gathered}

\begin{gathered}\\\quad\longrightarrow\quad \sf Speed=\frac{453}{10} \\\end{gathered}

\begin{gathered}\\\quad\longrightarrow\quad \sf Speed=45\frac{3}{10} miles \: per \: hour\\\end{gathered}

\boxed{\sf{Speed  \:of \: the \: Car = 45\frac{3}{10} miles/hour}}

jasenka [17]3 years ago
4 0

Step-by-step explanation:

Miles = 15 1/10

Miles = 151/10 miles

Hour = 1/3 hour

Av = 151/10 miles / 1/3 hour

Av = 151/10 × 3 / 1/3 × 3

Av = 453/10 miles / hour

Av = 45,3 mil / h

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Answer:

The point estimate of the population mean for the confidence interval of (15,32) is 23.5

Step-by-step explanation:

We are given the following information in the question:

Confidence interval for population mean is (15, 32).

We have to find the point estimate for population mean.

Formula:

\mu = \displaystyle\frac{\mu_1+\mu_2}{2} = \frac{15+32}{2} = 23.5

The point estimate of the population mean for the confidence interval of (15, 32) is 23.5

6 0
3 years ago
You want to buy a trampoline. You found one online that has a circumference of 6.28 yards. What is the area?
gizmo_the_mogwai [7]

The area of the trampoline  is mathematically given as

a = 3.14

<h3>What is the area?</h3>

Question Parameters:

You found one online that has a circumference of 6.28 yards

Generally, the equation for the Circumference   is mathematically given as

C = 2*pi*r

Thererfore

6.28 = 2*3.14*r

r = (6.28)/(6.28)

r = 1

In conclusion, where radius is

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a = 3.14

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7 0
3 years ago
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Answer:

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She downloads 4 songs for every week which is represented as 4w, and she started with 120 songs which is represented as +120.

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F(x) = x + 4 and g(x) = 2x + 3, evaluate each expression.
Rom4ik [11]

Answer:

15.~f(g(2))=\Large\boxed{11}\\

16.~g(f(2.5))=\Large\boxed{16}

17.~g(f(-5))=\Large\boxed{1}

18.~f(g(-5))=\Large\boxed{-3}

Step-by-step explanation:

<h3>Given information</h3>

f(x)=x+4

g(x)=2x+3

<h3>Question 15. f(g(2))</h3>

<u>Substitute values into the first function</u>

g(2)=2(2)+3

g(2)=4+3

g(2)=7

<u>Substitute the values of the first function into the second</u>

f(g(2))=f(7)

f(7)=(7)+4

f(7)=\Large\boxed{11}

<h3>Question 16. g(f(2.5))</h3>

<u>Substitute values into the first function</u>

f(2.5)=(2.5)+4

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<u />

<u>Substitute the values of the first function into the second</u>

g(f(2.5))=g(6.5)

g(6.5)=2(6.5)+3

g(6.5)=13+3

g(6.5)=\Large\boxed{16}

<h3>Question 17. g(f(-5))</h3>

<u>Substitute values into the first function</u>

f(-5)=(-5)+4

f(-5)=-1

<u>Substitute the values of the first function into the second</u>

g(f(-5))=g(-1)

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g(-1)=-2+3

g(-1)=\Large\boxed{1}

<h3>Question 18. f(g(-5))</h3>

<u>Substitute values into the first function</u>

g(-5)=2(-5)+3

g(-5)=-10+3

g(-5)=-7

<u>Substitute the values of the first function into the second</u>

f(g(-5))=f(-7)

f(-7)=(-7)+4

f(-7)=\Large\boxed{-3}

Hope this helps!! :)

Please let me know if you have any questions

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If the sales tax rate is 8%, what is the tax on a $5.75 cent purchase?
lora16 [44]

Answer:

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