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Troyanec [42]
3 years ago
15

1) A cyclist travels a distance of 90 miles in 5 hours. What

Mathematics
1 answer:
Nostrana [21]3 years ago
4 0

Answer:

Step-by-step explanation: <u>Speed</u> is distance an object travelled per unit time.

It is represented by letter v and can assume various units.

1) v=\frac{distance}{time}=\frac{d}{t}

v=\frac{90}{5}

v = 18 miles per hour

Her average speed is 18 mph.

2) Rearraging formula for distance:

d = v.t

d = 70 * 4

d = 280 miles

You would travel 280 miles.

3)  v=\frac{d}{t}

v=\frac{315}{6}

v = 52.5 mph

My average speed is 52.5 mph.

4) Rearranging formula to determine time:

t=\frac{d}{v}

t=\frac{210}{90}

t = 2.34 hours

It will take 2 hours and half to arrive in Leeds. So, we will be expected to arrive at 12:04.

5) The unit change but the way of calculating time is the same.

t=\frac{2000}{4}

t = 500 s

or t = 8.34 minutes

It will take, for an athlete to run 2000m, 8.34 minutes.

6) a) All units must match, so for a speed in mph:

45 minutes is 0.75 hours. Total time is 8.75 hours.

v=\frac{420}{8.75}

v = 560 mph

The average speed is 560 mph.

b) t=\frac{d}{v}

t=\frac{420}{63}

t = 6.67 hours

Sam will take 6.67 hours to covered the distance.

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A report on consumer financial literacy summarized data from a representative sample of 1,664 adult Americans. Based on data fro
daser333 [38]

Answer:

a. The 95% confidence interval for the proportion of all adult Americans who would give themselves a grade of A or B on their financial knowledge of personal finance is (0.54, 0.588). This means that we are 95% sure that the true proportion of all adult Americans who would give themselves a grade of A or B on their financial knowledge of personal finance is between these two bounds.

b. Because this confidence interval is entirely above 0.5, the interval is consistent with the statement that a majority of adult Americans would give themselves a grade of A or B.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

Sample of 1,664 adult Americans, 939 people in the sample would have given themselves a grade of A or B in personal finance.

This means that n = 1664, \pi = \frac{939}{1664} = 0.5643

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5643 - 1.96\sqrt{\frac{0.5643*0.4357}{1644}} = 0.54

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5643 + 1.96\sqrt{\frac{0.5643*0.4357}{1644}} = 0.588

The 95% confidence interval for the proportion of all adult Americans who would give themselves a grade of A or B on their financial knowledge of personal finance is (0.54, 0.588). This means that we are 95% sure that the true proportion of all adult Americans who would give themselves a grade of A or B on their financial knowledge of personal finance is between these two bounds.

(b) Is the confidence interval from part (a) consistent with the statement that a majority of adult Americans would give themselves a grade of A or B?

Yes, because the confidence interval is entirely above 0.5.

Because this confidence interval is entirely above 0.5, the interval is consistent with the statement that a majority of adult Americans would give themselves a grade of A or B.

8 0
2 years ago
Solve these equation<br><br>4(3-x)=(1-2x)​
serg [7]

To attempt this algebraic equation we will be multiplying 4 to (3 - x) bracket so as to form the term on L.H.S.

:\implies\tt{4(3 - x) = (1 - 2x)}

:\implies\tt{(12 - 4x) = (1 - 2x)}

:\implies\tt{12 - 4x = 1 - 2x}

Combining like terms, we get,

:\implies\tt{12 - 1 =  - 2x + 4x}

:\implies\tt{11 = 2x}

:\implies\tt{2x = 11}

:\implies\tt{x =  \frac{11}{2} }

:\implies\tt{x = 5.5}

  • The value of x is 5.5

8 0
2 years ago
-6x^3-y^2-3 ×=2 y=4 what is value
harkovskaia [24]

- 67

substitute the given values for x and y into the expression and evaluate

= - 6(2)³ - (4)² - 3 = ( - 6 × 8 ) - 16 - 3 = - 48 - 16 - 3 = - 67


5 0
3 years ago
Read 2 more answers
If x is a non-zero number and n is an integer, then x^-n is the reciprocal of x^n<br> True or False
enyata [817]
I would go with TeriWeaver's answer
8 0
3 years ago
Read 2 more answers
I need help with this math problem
Anika [276]

She did 12 questions, and needs to do 36.


36 / 12 = 3, so it will take 3 times as long.

1 hour 20 minutes times 3 = 4 hours.


It will take her 4 hours.

5 0
3 years ago
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