Allison practices her violin for at least 12 hours per week. She practices for three fourths of an hour each session. If Allison has already practiced 3 hours this week, how many more sessions remain for her to meet or exceed her weekly practice goal?

The measure of arc CB, <CFB = 70°.

A circle's arc is referred to as a portion or section of its circumference. A chord of a circle is a straight line that might be created by joining the arc's two ends. A semicircular arc is one whose length is exactly half that of a circle.

Given:

First, Draw segment FC.

Measure of arc CB = ∠CFB

As, ∠CFB is complementary to ∠CFA

So, ∠CFB = 180° - ∠CFA

We have Δ CFA is isosceles then

∠ FAC = ∠ FCA = 35°

∠CFA +∠ FAC + ∠ FCA = 180°

∠CFA = 180° - 70°

∠CFB = 180° - (180° - 70°)

<CFB = 70°

Thus, the Measure of arc CB is 70°.

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The 80th percentile of the distribution of the average of 49 fly balls is approximately 254.2 feet

The 80th percentile of the distribution of the average of 49 fly balls can be found using the formula for the sample mean and the Z-score. Given that the mean distance of fly balls hit is 250 feet, the standard deviation is 50 feet, and the sample size is 49, we can calculate the 80th percentile as follows:

Calculate the Z-score corresponding to the 80th percentile, which is 0.842

Use the Z-score formula to find the sample mean:

Sample Mean=Population Mean + Z ×  Standard Deviation​/ Sample Size

​Sample Mean=250+0.842× 50/ √49

Sample Mean=250+0.842×5

Sample Mean=250+4.2

Sample Mean=254.2

Therefore, the 80th percentile of the distribution of the average of 49 fly balls is approximately 254.2 feet

Complete question:

Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 250 feet and a standard deviation of 50 feet. We randomly sample 49 fly balls. Find the 80th percentile of the distribution of the average of 49 fly balls.

Answer:

[tex]\frac{35}{38}[/tex] yards of fabric is left over.

Step-by-step explanation:

Hasan has the total length of fabric = [tex]18\frac{3}{4}[/tex] yards

                                                           =  [tex]\frac{75}{4}[/tex] yards

Hasan plans to make as many pillow cases as he can.

To make one pillow case the fabric will be needed =  [tex]3\frac{1}{6}[/tex] yards =  [tex]\frac{19}{6}[/tex] yards

Hasan can make the total number of pillowcases = [tex]\frac{\frac{75}{4} }{\frac{19}{6} }[/tex]

=  [tex]\frac{75}{4}[/tex] ×  [tex]\frac{6}{19}[/tex]

=  [tex]\frac{75}{2}[/tex] ×  [tex]\frac{3}{19}[/tex]

=  [tex]\frac{225}{38}[/tex]

=  [tex]5\frac{35}{38}[/tex]

He can make 5 pillow cases and  [tex]\frac{35}{38}[/tex] yards of fabric would be left over.

The value of x is equal to 59°.

In Mathematics and Euclidean Geometry, a quadrilateral is a type of polygon that has four (4) sides, four (4) vertices, four (4) edges and four (4) angles.

Generally, the sum of the interior angles of any quadrilateral is equal to 360 degrees. In this context, we can logically deduce the following;

2x + 3 + x + 2x + 3 + x = 360°

6x + 6 = 360°

6x = 360° - 6

6x = 354°

x = 354/6

x = 59°.

Answer:

Option A. 14.21%

Step-by-step explanation:

The probability that Chloe is awarded the employee of the month in January  

= 29%  P (J) = 0.29

The probability that Chloe is awarded the employee of the month in February = 49% P (F) = 0.49

As we know that both events are independent so

P ( J & F ) = P (J) × P (F)

P = 0.29 × 0.49 = 0.1421 or 14.21%

Therefore the probability that she is awarded a blue ribbon in both January and February 14.21%

[tex]4.6\times10^{-6}[/tex] is less than [tex]6.5\times10^{-5}[/tex]. Therefore, option D is the correct answer.

Given that, [tex]6.5\times10^{-5}[/tex].

We need to find which is less than [tex]6.5\times10^{-5}[/tex].

The scientific notation helps us to represent the numbers that are very huge or very tiny in a form of multiplication of single-digit numbers and 10 raised to the power of the respective exponent. The exponent is positive if the number is very large and it is negative if the number is very small.

Now, [tex]6.5\times10^{-5}[/tex] =0.000065

[tex]1.4\times10^{-3}[/tex] =0.0014

[tex]2.5\times10^{-4}[/tex] =0.00025

[tex]7.8\times10^{-5}[/tex] =0.000078

[tex]4.6\times10^{-6}[/tex] =0.0000046

[tex]4.6\times10^{-6}[/tex] is less than [tex]6.5\times10^{-5}[/tex]. Therefore, option D is the correct answer.

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Answer:

Love

Step-by-step explanation:

Thanks for the help.

The equation that the scarecrow uttered can be expressed mathematically as:

sqrt (C) = sqrt (A) + sqrt (B)

where A, B, and C are the sides of the triangle

Since the triangle is an isosceles, therefore A = B and

sqrt (C) = 2 sqrt (A)

given that the measure of the leg is 3, A = 3, C is:

sqrt C = 2 sqrt (3)

sqrt C = 3.464

C = 12

In a any triangle, the sum of two sides must be greater than the third side, since in this case C > A + B therefore the Scarecrow is not correct because the correct relationship should be A + B > C.

To find the correct hypotenuse, we start with the Pythagorean equation:

C^2 = A^2 + B^2

So what the scarecrow mistakenly did was to ignore the “+” symbol during the square root. Taking the square root on both sides, the correct equation is:

C = sqrt (A^2 + B^2)

Calculate for C, since A = B = 3:

C = sqrt (3^2 + 3^2)

C = 4.24

So now A + B > C and this is now correct.

Answer:

The standard form equation is B.

The centre of the circle is B

The radius is B.

Step-by-step explanation:

Firstly, the equation can all be divided by 7:

(7x² + 7y²− 28x + 42y − 35)  ÷ 7 =

x² + y² - 4x + 6y - 5 = 0

x² - 4x + y² + 6y - 5 = 0

Now add [tex]\frac{1}{2}* b[/tex]

0.5 * 4 = 2, 2² = 4 so 4

0.5 * 6 = 3. 3² = 9 so 9

(x² - 4x + 4) + (y² + 6y + 9) - 4 - 9 - 5 = 0

As the standard form of a circle is (x - a)² + (y - b)²= r² , we need to change this to this. Simply find a number that multiplies to 4 and adds to -4 ( -2 ) and a number that multitplies to 9 and adds to 6 (3):

(x - 2)² + (y + 3)²

Also, we need to subtract the square of the number inside the brackets, as this is completing the square:

-2 * -2 = 4

3 * 3 = 9

So we need to subtract 4 and 9, and 5 as that was in the original:

(x - 2)² + (y + 3)² - 4 - 9 - 5 = 0

To find the radius, we need to move this numbers over to the other side making them positives:

(x - 2)² + (y + 3)² = 4 + 9 + 5

(x - 2)² + (y + 3)² = 18

The centre of the circle in (x - a)² + (y - b)² is [tex]a[/tex] and [tex]b[/tex]

The radius is the square root of whatever (x - a)² + (y - b)² equals, so the square root of 18 is the radius:

√18 = √9√2

= 3√2

= [tex]3 * (2x^{\frac{1}{2} } )[/tex]

The answer would be 60 km/h. :D

Mira has 6 pieces of wood, and she wants to divide them into equal parts of 3/4. Then in total how many pieces of wood she has?

Division is the process of splitting a number or an amount into equal parts

Here, we have,

6÷ 3/4

=6×4/3

=8

The required story may be:

Mira has 6 pieces of wood, and she wants to divide them into equal parts of 3/4. Then in total how many pieces of wood she has?

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The answer is 100 thats all you have to put trust me.

Answer:

39 mph

15 mph and 28 mph

Median

Median

It shows the median speed.

Step-by-step explanation: