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Cerrena [4.2K]
3 years ago
9

A woman is 64 5/12 inches tall and her son is 59 4/9 inches tall. How much taller is the woman?

Mathematics
1 answer:
Marina CMI [18]3 years ago
8 0

Answer:

4459/36

Step-by-step explanation:

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Which stem-and-leaf plot has a median of 3.2<br><br><br><br> page.2
DiKsa [7]
Find the median of each set:-

Median is middle number of a data set. If a data set has an odd number of numbers then the median is the middle number when ordered form least to greatest but if its an even number you have to find the mean for the middle 2 numbers when ordered for least to greatest. 

A.

1.2, 2.4, 3.2, 3.2, 3.6, 4.0, 4.1, 4.7

Even numbers = 8
3.2 + 3.6 = 6.8
6.8 ÷ 2 = 
Median = 3.4
So this shows that A isn't the answer because the median of A is 3.4, not 3.2. 

B.

1.6, 2.8, 2.9, 3.1, 3.3, 3.6, 4.2, 4.5

Even numbers = 8
3.1 + 3.3 = 6.4
6.4 ÷ 2 = 3.2
Median = 3.2
<span>So this shows that B is the answer because the median of B is 3.2.

C. 

1.8, 2.0, 2.0, 2.2, 3.2, 4.7, 4.8, 4.9
</span>
Even numbers = 8
2.2 + 3.2 = 5.4
5.4 ÷ 2 = 2.7
Median = 2.7
<span>So this shows that C isn't the answer because the median of C is 2.7, not 3.2.
</span>
D. 

1.4, 1.7, 2.9, 3.0, 3.1, 3.2, 3.2, 3.2, 4
Odd numbers = 9
Median = 3.1

<span>So this shows that D isn't the answer because the median of D is 3.1, not 3.2.
</span>
The stem and leaf plot which median is 3.2 is B.
5 0
3 years ago
The first term of a geometric sequence is 32, and the 5th term of the sequence is 818 .
sammy [17]

Answer:

32,24,18,\frac{27}{2} ,\frac{81}{8}

Step-by-step explanation:

Let x, y , and z be the numbers.

Then the geometric sequence is 32,x,y,z,\frac{81}{8}

Recall that  term of a geometric sequence  are generally in the form:

a,ar,ar^2,ar^3,ar^4

This implies that:

a=32 and ar^4=\frac{81}{8}

Substitute a=32 and solve for r.

32r^3=\frac{81}{8}

r^4=\frac{81}{256}

Take the fourth root to get:

r=\sqrt[4]{\frac{81}{256} }

r=\frac{3}{4}

Therefore x=32*\frac{3}{4} =24

y=24*\frac{3}{4} =18

z=18*\frac{3}{4} =\frac{27}{2}

8 0
3 years ago
Two sides of a parallelogram are 65 feet and 87 feet. The measure of the angle between these sides is 52°. Find the area of the
telo118 [61]

Answer:

Area of the parallelogram is approximately 4,456.2 square feet

Step-by-step explanation:

The lengths of the sides of the parallelogram are 65 feet and 87 feet

The measure of the angle between the sides, Y = 52°

The formula for finding the area of a parallelogram is given as follows;

Area of a parallelogram = A·B·sin(Y)

Where;

'A' and 'B' are the length of the parallel sides and 'Y' is the measure of the angle between them

Let 'A' and 'B' represent the 65 feet and the 87 feet respectively, we get;

Area of the parallelogram = 65 ft. × 87 ft. × sin(52°) ≈ 4,456.2 ft.²

3 0
3 years ago
Which value, when placed in the box, would result in a system of equations with infinitely many solutions?
Fantom [35]

Answer:

<h2>If we placed the number 10 in the box, we obtain a system of equations with infinitely many solutions.</h2>

Step-by-step explanation:

The given system is

y=2x-5\\2y-4x=a

<em>It's important to know that a system with infinitely many solutions, it's a system that has the same equation</em>, that is, both equation represent the same line, or as some textbooks say, one line is on the other one, so they have inifinitely common solutions.

Having said that, the first thing we should do here is reorder the system

y=2x-5\\2y=4x+a

This way, you can compare better both equations. If you look closer, observe that the second equation is double, that is, it can be obtained by multiplying a factor of 2 to the first one, that is

y=2x-5\\2y=4x-10

So, by multiplying such factor, we obtaine the second equation. Observe that a must be equal to 10, that way the system would have infinitely solutions.

Therefore, the answer is 10.

4 0
3 years ago
Help plzzzzzzzzzzzzzz ​
Anna11 [10]

Answer:

71

so there's a right angle and 19° i added them and got 109°. and remember a triangle is 180° so i did 180-109

4 0
3 years ago
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