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2 years ago

14

Bailey and Elena compete in a swim race. Their times are shown below. Round each time to the nearest whole second. Then estimate

how many seconds Bailey won the race by
Bailey: 35.78 seconds
Elena: 39.51 seconds

2 answers:

Gala2k [10]2 years ago

8 0

The whole second is the first number to the left of the decimal (_.)

So, 35.78 = 36 because 7>5.

39.51 = 40 because 5 = 5.

40 - 36 = 4.

Bailey won the race by about 4 seconds.

inessss [21]2 years ago

7 0

Answer:

The estimate time by which Bailey wins the race by Elena is:

4 seconds.

Step-by-step explanation:

The times of completion of a swim race by Bailey and Elena are given as:

Bailey: 35.78 seconds

Elena: 39.51 seconds

Clearly from the time we could observe that the time taken by Bailey is less as compared to Elena.Hence, Bailey wins the race.

Hence, the time taken by them to the nearest second is:

Bailey: 36 seconds.

Elena: 40 seconds.

Hence, the estimate time by which Bailey wins by Elena is:

40-36=4 seconds.

Hence, the estimate time is:

4 seconds.

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Answer:

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Step-by-step explanation:

1.5/7•14/35

= 5/7 × 14/35

Using Cancellation method

= 1/1 × 2/7

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= 4/5 × 10/11

Using Cancellation method

= 4/1 × 2/11

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3.8 3/4 multiplied by 2/9

= 8 3/4 × 2/9

= 27/4 × 2/9

= 3/2 × 1/1

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4. [4/5]10/11][7/8]

40/50 ÷ 77/88

= 40/50 × 88/77

= 40/50 × 8/7

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= 8/5 × 4/7

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Determine b , given that A = 63°, C = 49°, and c = 3. Round answers to the nearest whole number. Do not use a decimal point or e

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Angle B = 68 degrees
Using the Law of Sines
b / sin(B) = c / sin (C)
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Step-by-step explanation:

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A survey found that 89% of a random sample of 1024 American adults approved of cloning endangered animals. Find the margin of er

Kobotan [32]

Answer:

The margin of error for the survey is 0.016

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 1024

Sample proportion:

$\hat{p} = 89\% = 0.89$

We have to find the margin of error associated with a 90% Confidence interval.

Formula for margin of error:

$z_{stat}\times \sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

$z_{critical}\text{ at}~\alpha_{0.10} = 1.64$

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Thus, the margin of error for the survey is 0.016

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A rectangular piece of plywood has a diagonal which measures two feet more than the width. The length of the plywood is twice th

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Answer:

The length of the plywood's diagonal(to the nearest tenth) is, 3.6 and 1.4

Step-by-step explanation:

let l be the length and w be the width of the rectangle respectively;

Diagonal(D) of a rectangle is given by:

$D = \sqrt{l^2+w^2}$ ......[1]

As per the given statement we have;

Diagonal(D) = width + 2

and

$l = 2 \times w$ = 2w

Now, substitute these in [1] we have;

$\sqrt{(2w)^2+w^2} = w+5$

Squaring both the sides we get;

$4w^2+w^2 = (w+2)^2$

$5w^2 = w^2 + 4 + 4w$

or

$5w^2 -w^2 = 4w + 4$ or

$4w^2= 4w + 4$

Simplify:

$w^2-w-1 =0$ ......[2]

The quadratic equation is in the form of $ax^2+bx+c = 0$

the solution is given by: $x = \frac{-b \pm\sqrt{b^2-4ac}}{2a}$

On comparing with [1] we get

a= 1 , b = -1 and c = -1

Then the solution is:

$w= \frac{-(-1) \pm\sqrt{(-1)^2-4(1)(-1)}}{2(1)}$

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Simplify:

$w \approx 1.62$ and $w \approx -0.62$

Then, the diagonal D = w+2

For $w \approx 1.62$

$D = 1.62 +2 \approx 3.62$

For $w \approx -0.62$

$D =-0.62 +2 \approx 1.38$

therefore, the length of the plywood's diagonal(to the nearest tenth) is, 3.6 and 1.4

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