Lucy is a dress maker. She sews 4/7 of a dress in 3/4 hour. Lucy sews at a constant rate. At this rate, how many dresses does Lucy sew in one?

Answer:

99.7% lies between 76 and 88

Step-by-step explanation:

mean = 82, standard deviation = 2

3 standard deviation has 99.7%

so we need to find 3 standard deviation above and below the mean.

To find 3 standard deviation above the mean , we add standard deviation 2 with mean

82 + 2= 84 first SD

84 + 2= 86 second SD

86 + 2= 88 third SD

88 is the third SD above the mean 82

To find 3 standard deviation below the mean , we subtract standard deviation 2 from mean

82 - 2= 80 first SD

80 - 2= 78 second SD

78 - 2= 76 third SD

76 is the third SD below the mean 82

So , 99.7% lies between 76 and 88

Solution:

we are given that

In the library at Lenape Elementary School, there are 3/8 as many fiction books as there are nonfiction books.

There are 44 books in the school library.

we have been asked to find How many books are fiction books?

Let there are x non fiction books in the library. Then there will be [tex] \frac{3}{8}x [/tex] fiction books.

Hence we can write

[tex] x+\frac{3}{8}x=44\\\\\text{Now solve for x}\\\\\frac{8x+3x}{8}=44\\\\\frac{11x}{8}=44\\\\11x=44*8\\\\x=\frac{44*8}{11}\\\\x=4*8=32\\ [/tex]

Hence there are 32 non-fiction books in the library.

and 44-32=12 fiction books in the library.

Final answer:

To find out how many fiction books are at Lenape Elementary School's library, the total number of books is divided in the ratio of fiction to nonfiction books, which is 3:8. Solving the equation 11/8x = 44, where x is the number of nonfiction books, we find there are 32 nonfiction books and 12 fiction books.

Explanation:

The question asks us to determine how many fiction books there are in Lenape Elementary School's library, given the total number of books and the ratio of fiction to nonfiction books. We know that there is a total of 44 books and that the fiction books are 3/8 the number of nonfiction books.

Let's denote the number of nonfiction books as x. So, the number of fiction books would be 3/8 of x, or 3/8x.

The sum of fiction and nonfiction books is given by x + 3/8x, which equals the total number of books:

1x + 3/8x = 44

Combining like terms, we get:

11/8x = 44

Now, we can solve for x by multiplying both sides by the reciprocal of 11/8:

x = 44 * 8/11

Simplify:

x = 32

Thus, there are 32 nonfiction books and the number of fiction books is:

3/8 * 32 = 12

There are 12 fiction books in the library.

The quarter circle's perimeter is 3.57 when the area of a quarter circle is 0.785 square kilometers.

Area of quarter circle is 0.785

This is a given value in the question.

Hence radius is 1 using the formula (pi*r*r)/4. This is derived after working out this formula.

Since radius is 1, perimeter is 3.57 using the formula (2*pi*r)/(4 + 2*r). This is also derived after working out this formula.

Hence this is the answer for the perimeter of the quarter circle since the given area of the quarter circle tends to be 0.785 square kilometers.

To learn more about area of the circle,

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Final answer:

The perimeter of a quarter circle with an area of 0.785 km² is 1.57 kilometers.

Explanation:

Let's call the radius of the circle "r".

Since the area of a quarter circle is a quarter of the whole circle's area, we can set up the following equation:

0.785=(1/4)πr^2

To solve for the radius (r), we can:

Multiply both sides by 4: 3.14=πr ^2

Divide both sides by π: r^2=1

Take the square root of both sides to find the radius: r=1 kilometer

Now that we know the radius, we can find the perimeter of the quarter circle.

The perimeter of a whole circle is 2πr, so the perimeter of a quarter circle is:

Perimeter=(1/4)×2πr=(πr)/2

Plugging in the value of r (1 kilometer):

Perimeter=(π×1)/2=  0.5π kilometers = 1.57 kilometers

Final answer:

Laura is approximately 14.4 units away from the origin after walking 8 units to the right and 12 units up, found by applying the Pythagorean theorem.

Explanation:

The question asks how far Laura is from the origin after walking 8 units to the right and 12 units up. To solve this, we can use the Pythagorean theorem, which is a fundamental principle in geometry that deals with the lengths of sides in a right-angled triangle. Here, we consider Laura's walk as the two perpendicular sides of a triangle, with her movement to the right representing the horizontal side (8 units) and her movement upwards representing the vertical side (12 units).

To find the distance (hypotenuse) from the origin, we apply the Pythagorean theorem as follows:

Hence, Laura is approximately 14.4 units away from the origin, rounded to the nearest tenth.

b for number 1 do u need all of them

Answer:

good luck

Step-by-step explanation:

1- a

2- c

3- b

To find the number of male and female cousins Jennifer Lopez met at a family reunion, we can set up a system of equations based on the given information. By solving the system, we can determine the values of the variables and find the answer.

The subject of this question is Mathematics and the grade level is Middle School. The question asks about the number of male and female cousins Jennifer Lopez met at a family reunion. Let's define the number of male cousins as x and the number of female cousins as y. From the given information, we know that x is 2 less than y.

So the equation can be written as: x = y - 2

Since Jennifer met a total of 9 cousins, we can write another equation: x + y = 9

Now we can solve this system of equations to find the values of x and y. Subtracting the first equation from the second equation, we get: (x + y) - (y - 2) = 9 - (y - 2)

Simplifying further, we have: x + 2 = 11 - y

Bringing the variables to one side, we get: x + y = 11 - 2

Combining like terms, we have: x + y = 9

Therefore, the value of x is 4 and the value of y is 5. So Jennifer Lopez met 4 male cousins and 5 female cousins at the family reunion.

Final answer:

The greatest common factor of 26n^5 and 12n^2 is 2n^2, as the prime factor 2 and the variable n to the second power are the highest powers common to both monomials.

Explanation:

The greatest common factor (GCF) of two monomials, 26n5 and 12n2, is found by identifying the highest power of each prime factor that is present in both monomials. To find the GCF of 26 and 12, we factor both numbers into their prime factors:

Since 2 is the only common prime factor between 26 and 12, and its lowest power in both numbers is 21, we take this as part of our GCF. For the variable part, we look at n5 and n2 and take the lowest power, which is n2. Hence, the GCF of 26n5 and 12n2 is 2n2.

The MAD value of the given data set is "3.2".

The average distance between each data value and the mean is defined as the mean absolute deviation of a data set. It is a measure of variation in a data set.

Calculation of the MAD value:

Given:

[tex]\to \{ 13, 6, 3, 7, 11\} \\\\[/tex]

Calculating the sum of the given value:

[tex]\to 13 + 6 + 3 + 7 + 11 = 40\\\\[/tex]

Calculating the average value:

[tex]\to \frac{40}{ 5} = 8\\\\[/tex]

Subtracting the average value from the given set:

[tex]\to 13 - 8 = 5\\\\\to 6 - 8 = | -2 | = 2\\\\\to 3 - 8 = | -5 | = 5\\\\\to 7 - 8 = | -1 | = 1\\\\\to 11 - 8 = 3\\\\[/tex]

Calculated set value:

[tex]\to 5, 2, 5, 1, 3\\\\[/tex]

Adding the set value:

[tex]\to 5 + 2 + 5 + 1 + 3 = 16[/tex]

Calculating the average value of the set:

[tex]\to \frac{16}{5} = 3.2\\\\[/tex]

So, the

[tex]\to \text{MAD} = 3.2[/tex]

Therefore, the final value of MAD is "3.2"

Find out more information about the MAD here:

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Answer:

A,D,C APEX

Step-by-step explanation:

For a better understanding of the solution provided here please go through the diagram in the attached file.

In the diagram, F is the foot of the tree.

T is the top of the tree. Then TF will be the height of the tree.

P is the point on the ground 47 feet from the foot of a tree. Therefore, PF=47.

Now, we know that the tree grows vertical from the ground and thus [tex] \angle F=90^{\circ} [/tex]

Thus, the triangle [tex] \Delta PFT [/tex] is a right triangle.

Now, we can apply the trigonometric ratio, tan in this triangle as:

[tex] tan(\angle P)=\frac{Perpendicular}{Base} =\frac{TP}{PF} [/tex]

[tex] \therefore tan(35^{\circ})=\frac{TF}{47} [/tex]

[tex] TF=47\times tan(35^{\circ})\approx32.91\approx33 [/tex]

Thus, the the height of the tree to the nearest foot is 33 feet.

The height of the tree is 32.90 feet.

P is the point on the ground, T is the top of the tree, and h is the height of the tree. We are given that PT = 47 feet and the angle of elevation from P to T is 35 degrees.

We want to find the height of the tree, which is represented by h in the diagram. We can use the tangent function to solve for h.

The tangent of an angle is defined as the ratio of the opposite side to the adjacent side in a right triangle.

In this case, the opposite side is h and the adjacent side is PT = 47 feet. Therefore, we have

tan(35°) = h/47

Solving for h, we get:

h = 47 * tan(35°) ≈ 32.90 feet

Rounding to the nearest foot, we find that the height of the tree is 33 feet.

The square root of 62 lies between the two consecutive whole numbers 7 and 8, since 7^2=49 is less than 62 and 8^2=64 is more than 62.

The square root of 62 falls into the range of two whole numbers. To ascertain the exact numbers, you need to find the square roots of the whole numbers around 62. These numbers would be 7 and 8, since the square of 7 is 49 and the square of 8 is 64. Therefore, the two consecutive whole numbers that square root of 62 lies between are 7 and 8.

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We can use unitary method here.

First let us use the basic conversion from tons to ounces.

1 ton =32000 ounces

Now we have to find how many ounces are there in 1.5 tons.

Weight of hippopotamus in tons =1.5 tons

Weight of hippopotamus in ounces = 1.5 *32000 = 48000 ounces.

So the weight of hippopotamus in ounces is 48000 ounces.

We are given the equation,

[tex] j= 4rb [/tex]

Here we have to solve for r.

r is in multiplication with 4b on the right side of equation.

So we apply opposite operation of multiplication on the left side.

opposite operation of multiplication is division.

So dividing left side by 4b,

[tex] \frac{j}{4b} =r [/tex]

So answer is r=j/4b.

The answer would be D, because 4 8/6 is equal to 5 2/6.

Hope this helps ;}

Final answer:

The mixed number 5 2/6 simplified is 5 1/3 and when represented as an improper fraction it is 16/3. Upon reviewing the given options, only D) 4 8/6 is equivalent to 5 2/6 or 5 1/3.

Explanation:

To represent the mixed number 5 2/6 in another form, first simplify it by reducing the fraction to its lowest terms. The fraction 2/6 can be simplified to 1/3 because the numerator and denominator share a common factor of 2. So the number becomes 5 1/3. Now, to find an equivalent representation from the given options, you can convert it to an improper fraction: (5 × 3) + 1 = 15 + 1 = 16, so the equivalent improper fraction is 16/3. Looking at the choices provided, none match 5 1/3 exactly, but we can look at them to determine if any are equivalent:

Therefore, the correct answer is D) 4 8/6 as it is another way to represent 5 2/6.