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MAXImum [283]
4 years ago
5

For a craft project, two equilateral triangles are taped together to create a quadrilateral.

Mathematics
2 answers:
Colt1911 [192]4 years ago
8 0

Answer:

Rhombus

Step-by-step explanation:

Lana71 [14]4 years ago
6 0
<span>For a craft project, two equilateral triangles are taped together to create a rhombus quadrilateral. In Euclidean geometry, a rhombus is a simple quadrilateral whose four sides all have the same length. Another name is equilateral quadrilateral, since equilateral means that all of its sides are equal in length.</span>
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The first term of a geometric sequence is 6, and the ratio (multiplier) is 0.5. What is the sum of the first 8 terms, rounded to
IRISSAK [1]
The sum of the first n terms of a geometric sequence is given by:

S_{n}=\frac{a_{1}(1-r^{n})}{1-2}

Using the known values:
S_{8}=\frac{6(1-0.5^{8})}{1-0.5}
S_{8}=\frac{6(1-0.00390625)}{0.5}
S_{8}=\frac{6(0.99609375)}{0.5}
S_{8}=\frac{5.9765625}{0.5}
S_{8}=11.953125

4 0
3 years ago
Suppose that IQ scores have a bell-shaped distribution with a mean of 99 and a standard deviation of 14. Using the empirical rul
algol [13]

Answer:

About 99.7% of the IQ scores would be between 57 and 141.

Step-by-step explanation:  

The Empirical Rule about a bell-shaped curve states that :

  • 68% of the data lies within one standard deviation of the mean (both left-side and right-side)
  • 95% of the data lies within two standard deviations of the mean (both left-side and right-side)
  • 99.7% of the data lies within three standard deviations of the mean (both left-side and right-side)

Now, we need to find what percentage of IQ scores lies between 57 and 141 : Mean = 99 and standard deviation = 14

141 – 99 = 42

              = 3 × 14

Thus, 141 is 3 standard deviations to the right of the mean.

99 – 57 = 42

              = 3 × 14

Thus, 57 is 3 standard deviations to the left of the mean.

Since 57 to 141 is within 3 standard deviations of the mean, and according to empirical formula stated above : about 99.7% of the IQ scores would be between 57 and 141.

8 0
3 years ago
What is the solution of the proportion?
Dennis_Churaev [7]
D/48=14/12

d=48*14/12

d=56
5 0
3 years ago
Read 2 more answers
4/9 times n equals 4/3
nevsk [136]

Answer:

N = 3

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Y=4x−5<br> y=2x+3<br> ​ <br> is (4,11) part of the system
pentagon [3]

Answer:

Yes

Step-by-step explanation:

If (4,11) is part of the system, it should satisfy both equations

y = 4x - 5

11 = 4(4) - 5

11 = 16 - 5

11 = 11 is a true statement

y = 2x + 3

11 = 2(4) + 3

11 = 8 + 3

11 = 11 is a true statement

Since (4,11) satisfies both the equations, it is part of the system

6 0
3 years ago
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