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yulyashka [42]
4 years ago
7

Rhombus LMNO is shown with its diagonals. The length of LN is 28 centimeters. What is the length of LP? 7 cm 9 cm 14 cm 21 cm

Mathematics
2 answers:
vampirchik [111]4 years ago
7 0
LP= 1/2 * 28 = 14 Answer C.
Marrrta [24]4 years ago
7 0

Answer: The length of LP is 14 cm.

Step-by-step explanation:

Here, LMNO is a rhombus,

In which LN and MO are the diagonals, intersecting at P.

Since, the diagonals of a rhombus bisect each other,

In rhombus LMNO,

LP = PN and MP = PO,

Here, LN = 28 cm

⇒ LP + PN = 28 cm

⇒ LP + LP = 28 cm

⇒ 2 LP = 28 cm

⇒ LP = 14 cm

Thus, the length of LP is 14 cm.

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C) 6 inches

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How to subtract 582,295 from 670 063?
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3 years ago
A survey taken in a large statistics class contained the question: "What's the fastest you have driven a car (in miles per hour)
hjlf

Answer:

NO

Step-by-step explanation:

To find out which observation to classify as an outlier, whether the largest or not, a very good approach or way to do this is to apply the 1.5(IQR) rule.

According to the rule, for finding the largest observation in the data that can be classified as an outlier, we would use the formula = Q3 + 1.5(IQR).

Q3 = 120

IQR = Q3 - Q1 = 120 - 95 = 25

Lets's plug these values into Q3 + 1.5(IQR)

We have,

120 + 1.5(25)

= 157.5

Since our max in the observation is given as 155, the largest observation in the data set cannot be set as an outlier because 157.5 which we got from our calculation is higher than the max value we have in the data set.

Our answer is NO.

However, the smallest observation should be set as outlier because:

Q1 - 1.5(IQR) = 95 - (1.5*25) = 57.5, which gives us an outlier that falls within our data range.

3 0
4 years ago
A sample of 90 women is​ obtained, and their heights​ (in inches) and pulse rates​ (in beats per​ minute) are measured. The line
gayaneshka [121]

Answer:

the best predicted pulse rate of a woman who is 66 in tall = 79.78 beats per minute

Step-by-step explanation:

We are given that;

Regression line: y^ = 18.4 + 0.93x

Now we want to find out the best predicted pulse rate of a woman who is 66 in tall.

Thus;

If x = 66, then the predicted height is:y^ = 18.4 + 0.93(66)

y^ = 79.78 beats per minute

7 0
4 years ago
Which equation has a graph that lies entirely above the x-axis?
rusak2 [61]

Answer:

y = (x - 7)^{2} + 7.

Step-by-step explanation:

Let a, h, and k be constants, and let a \ne 0. The equation y = a\, (x - h)^{2} + k represents a parabola in a plane with vertex at (h,\, k).

For example, for y = -(x + 7)^{2} + 7 = -(x - (-7))^{2} + 7, a = (-1), h = (-7), and k = 7.

A parabola is entirely above the x-axis only if this parabola opens upwards, with the vertex (h,\, k) above the x\!-axis.

The parabola opens upwards if and only if the leading coefficient is positive: a > 0.

For the vertex (h,\, k) to be above the x-axis, the y-coordinate of that point, k, must be strictly positive. Thus, k > 0.

Among the choices:

  • y = -(x + 7)^{2} + 7 does not meet the requirements. Since a = (-1), this parabola would open downwards, not upwards as required.
  • y = (x - 7)^{2} - 7 does not meet the requirements. Since k = (-7) and is negative, the vertex of this parabola would be below the x-axis.
  • y = (x - 7)^{2} + 7 meet both requirements: a = 1 and k = 7.
  • y = (x - 7)^{2} (for which k = 0) would touch the x-axis at its vertex.
8 0
3 years ago
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