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sesenic [268]
2 years ago
11

Lindsay drove for 5 1 /2 hours at 60 miles per hour. How much distance did she travel?

Mathematics
1 answer:
GaryK [48]2 years ago
5 0

let's firstly convert the mixed fraction to improper, and then check.


\bf \stackrel{mixed}{5\frac{1}{2}}\implies \cfrac{5\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{11}{2}}
\\\\[-0.35em]
\rule{34em}{0.25pt}\\\\
\begin{array}{ccll}
miles&hours\\
\cline{1-2}
60&1\\[0.8em]
m&\frac{11}{2}
\end{array}\implies \cfrac{60}{m}=\cfrac{~~1~~}{\frac{11}{2}}\implies \cfrac{60}{m}=\cfrac{~~\frac{1}{1}~~}{\frac{11}{2}}\implies \cfrac{60}{m}=\cfrac{1}{1}\cdot \cfrac{2}{11}
\\\\\\
\cfrac{60}{m}=\cfrac{2}{11}\implies 660=2m\implies \cfrac{660}{2}=m\implies 330=m

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In a Gallup poll, 1025 randomly selected adults were surveyed and 29% of them said that they used the Internet for shopping at l
svetoff [14.1K]

Answer:   (0.25,0.33)

Step-by-step explanation:

A 99% confidence interval for population proportion is given by:-

\hat{p}\pm 2.576\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}, where \hat{p} = sample proportion, n = sample size.

Given: n=1025, \hat{p}=0.29

A 99% confidence interval estimate of the proportion of adults who use the Internet for shopping:

0.29\pm 2.576\sqrt{\dfrac{0.29(1-0.29)}{1025}}\\\\=0.29\pm 2.576\sqrt{0.00020087804878}\\\\=0.29\pm2.576(0.01417)\\\\=0.29\pm0.03650192\\\\=(0.29-0.03650192,\ 0.29+0.03650192)\\\\=(0.25349808,\ 0.32650192)

\approx(0.25,\ 0.33)

Thus, a 99% confidence interval estimate of the proportion of adults who use the Internet for shopping = (0.25,0.33)

5 0
3 years ago
How many 1/8s are there in 3/4​
natka813 [3]

Answer:

there are 6/8 in 3/4

Step-by-step explanation:

if you want to change the denominator of the fraction, you must find the multiple of it,

(3/4) x 2 is 6/8

so you have 6 x (1/8) thats the same 6/8

3/4 is the minimum simplification, if you want to find the same fraction but with other denominator, you have to multiply 3/4 for any number, to do this you have to multiply the numerator and the denominator

4 0
2 years ago
Read 2 more answers
Someone help me with this ASAP!!!
hjlf

Answer:

95 over 2

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3 0
3 years ago
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The difference of two trinomials is x2 − 10x + 2. If one of the trinomials is 3x2 − 11x − 4, then which expression could be the
12345 [234]

Answer:

4x^2-21x-2

Step-by-step explanation:

Given that:

Difference of two trinomials is x^2 - 10x + 2

One of the two trinomials is  3x^2 - 11x - 4

To find:

The other trinomial = ?

Four options are:

2x2 - x - 2 \\2x2 + x + 6 \\4x2 + 21x + 6\\ 4x2 - 21x - 2

Solution:

Let the two trinomials be A and B.

Given A - B = x^2 - 10x + 2

B = 3x^2 - 11x - 4

We have to find the other trinomial A.

A - B = x^2 - 10x + 2

A - (3x^2 - 11x - 4) = x^2 - 10x + 2

\Rightarrow A = x^2 - 10x + 2 + (3x^2 - 11x - 4)

\Rightarrow A = 4x^2-21x-2

So, the correct answer is 4x^2-21x-2.

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You need to divide 180 by 1.2 
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