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3 years ago

10

Angela took 56 minutes to take her history test brian took 70% of the time that it took angela to complete the test . How long d

id it take brian to take the history test

2 answers:

nekit [7.7K]3 years ago

8 0

Answer:

39.2 minutes (39 minutes and 12 seconds)

Step-by-step explanation:

We know that Brian took 70% of the time that Angela took to complete the test, so to find how long Brian took to take the history test, we need to multiply the percentage (70%) of time from Angela's time (56 minutes):

70% of 56 = (70/100) * 56 = 0.7 * 56 = 39.2

Brian took 39.2 minutes (39 minutes and 12 seconds) to complete the history test.

zheka24 [161]3 years ago

6 0

Answer: 39.2 minutes

Step-by-step explanation:

Angela used 56minutes. Brain used 70% of Angela's time which will be 70% of 56.

70/100 × 56 = 39.2 minutes.

Therefore, Brian used 39.2 minutes for the test.

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The data to the right represent the weights (in grams) of a random sample of 50 candies. Complete parts (a) through (f). 0.92

Inessa05 [86]

Answer:

0.069

Step-by-step explanation:

The given data set is

0.92, 0.87, 0.88, 0.82, 0.82, 0.87, 0.97, 0.86, 0.89, 0.84, 0.81, 0.88, 0.77, 0.86, 0.93, 0.84, 0.72, 0.82, 0.74, 0.83, 0.93, 0.75, 0.79, 0.91, 0.84, 0.91, 0.88, 0.88, 0.83, 0.78, 0.99, 0.81, 0.78, 0.75, 0.82, 0.76, 0.82, 0.87, 0.91, 0.77, 0.72, 0.94, 0.71, 0.73, 0.81, 0.81, 0.86, 0.93, 0.93, 0.82.

Formula for mean:

$Mean=\frac{\sum x}{n}$

Sum of all terms = 41.98

Mean of the data set is

$Mean=\frac{41.98}{50}$

$Mean=0.8396$

Formula for standard deviation for population:

$\sigma=\sqrt{\frac{\sum (x-\overline{x})^2}{n}}$

Formula for standard deviation for sample:

$\sigma=\sqrt{\frac{\sum (x-\overline{x})^2}{n-1}}$

$\sigma=\sqrt{\frac{0.231792}{50-1}}$

$\sigma=\sqrt{0.004730449}$

$\sigma=0.06877826$

$\sigma\approx 0.069$

Therefore, the standard deviation of the data set is 0.069.

5 0

3 years ago

A flat circular plate has the shape of the region x squared plus y squared less than or equals 1.The plate, including the bound

rjkz [21]

Answer:

We have the coldest value of temperature $T(\frac{3}{4},0) = -9/16$ . and the hottest value is $T(-(3/4),\frac{\sqrt{7}}{4})=\frac{5}{16}$ .

Step-by-step explanation:

We need to take the derivative with respect of x and y, and equal to zero to find the local minimums.

The temperature equation is:

$T(x,y)=x^{2}+2y^{2}-\frac{3}{2}x$

Let's take the partials derivatives.

$T_{x}(x,y)=2x-\frac{3}{2}=0$

$T_{y}(x,y)=4y=0$

So, we can find the critical point (x,y) of T(x,y).

$2x-\frac{3}{2}=0$

$x=\frac{3}{4}$

$4y=0$

$y=0$

The critical point is (3/4,0) so the temperature at this point is: $T(\frac{3}{4},0)=(\frac{3}{4})^{2}+2(0)^{2}-(\frac{3}{2})(\frac{3}{4})$

$T(\frac{3}{4},0)=-\frac{9}{16}$

Now, we need to evaluate the boundary condition.

$x^{2}+y^{2}=1$

We can solve this equation for y and evaluate this value in the temperature.

$y=\pm \sqrt{1-x^{2}}$

$T(x,\sqrt{1-x^{2}})=x^{2}+2(1-x^{2})-\frac{3}{2}x$

$T(x,\sqrt{1-x^{2}})=-x^{2}-\frac{3}{2}x+2$

Now, let's find the critical point again, as we did above.

$T_{x}(x,\sqrt{1-x^{2}})=-2x-\frac{3}{2}=0$

$x=-\frac{3}{4}$

Evaluating T(x,y) at this point, we have:

$T(-(3/4),\sqrt{1-(-3/4)^{2}})=-(-\frac{3}{4})^{2}-\frac{3}{2}(-\frac{3}{4})+2$

$T(-(3/4),\frac{\sqrt{7}}{4})=\frac{5}{16}$

Now, we can see that at point (3/4,0) we have the coldest value of temperature $T(\frac{3}{4},0) = -9/16$ . On the other hand, at the point $-(3/4),\frac{\sqrt{7}}{4})$ we have the hottest value of temperature, it is $T(-(3/4),\frac{\sqrt{7}}{4})=\frac{5}{16}$ .

I hope it helps you!

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2 years ago

Combine Like Terms:<br><br> 7X + 3M - 2(2X + 8) + 24 + 8M - X<br> so hard

Elza [17]

Answer:

11M + 2X + 8

Step-by-step explanation:

Hope this helps!! :))

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2 years ago

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What is the measure of the angles?

statuscvo [17]

Answer:

The angle is 35

Step-by-step explanation:

The angles are vertical angles, so they are equal

3x-4 = 2x+9

Subtract 2x from each side

3x-2x-4 = 2x+9-2x

x-4 = 9

Add 4 to each side

x-4+4 = 9+4

x=13

But it asked for the measure of the angle

2x+9

2(13)+9

26+9

35

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3 years ago

!!SHOW WORK!! The track team is selling plush toy tigers for a fundraiser. which toy has the lowest cost per tiger.

NikAS [45]

Answer: c

Step-by-step explanation:

33.24 / 12 = 2.77

44.80 / 16 = 2.80

41.10 / 15 = 2.74

(/ means divide)

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3 years ago

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