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viva [34]
3 years ago
10

3) What is the measurement of each side if the perimeter is 78? (3x - 4) cm (2x + 3) cm

Mathematics
1 answer:
Goshia [24]3 years ago
3 0
There are 4 sides so add 4 sides
3x-4+3x-4+2x+3+2x+3=78

Combine like terms
10x-2=78

Add 2 to each side of the equation
10x=80

Divide by 10
X=8

Enter x into equation
3(8)-4=20
2(8)+3=19

Multiply by 2
20 x 2= 40
19 x 2 = 38
40 +38 =78

Side 1- 20
Side 2- 19
Side 3- 20
Side 4- 19
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Matthew participates in a study that is looking at how confident students at SUNY Albany are. The mean score on the scale is 50.
Alex Ar [27]

Answer:

b) 6.68%

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The mean score on the scale is 50. The distribution has a standard deviation of 10.

This means that \mu = 50, \sigma = 10

Matthew scores a 65. What percentage of people could be expected to score the same as Matthew or higher on this scale?

The proportion is 1 subtracted by the p-value of Z when X = 65. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{65 - 50}{10}

Z = 1.5

Z = 1.5 has a p-value of 0.9332.

1 - 0.9332 = 0.0668

0.0668*100% = 6.68%

So the correct answer is given by option b.

7 0
3 years ago
I need helpabdjbajdbajdb
gizmo_the_mogwai [7]

Answer:

c=10

Step-by-step explanation:

pythagreom theroem

c (hypotenuse) = \sqrt{a^{2} +b^{2} }

plug in values for a and b

c=\sqrt{6^{2} +8^{2} }

c=\sqrt{36+64\\}

c=\sqrt{100\\}

c=10

7 0
3 years ago
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Suppose that during it's flight, the elevation `e` (in feet) of a certain airplane and its time `t,` in minutes since takeoff, a
kifflom [539]

Answer:

Suppose that during its flight, the elevation e (in feet) of a certain airplane and its time ... since takeoff, are related by a linear equation. Consider the graph of this equation, with time represented on the horizontal axis and elevation on the vertical axis. ... Unit 3; Linear Relationships Lesson 9: Slopes Don't Have to be Positive.

Step-by-step explanation:

8 0
3 years ago
The angle of elevation from a buoy in the water to the top of a lighthouse is 68degrees. If a buoy is 300 ft from the base of th
Katen [24]

Answer:

The height of the lighthouse is 742.5\ ft

Step-by-step explanation:

Let

h -----> the height of the lighthouse

we know that

The tangent of angle of 68 degrees is equal to divide the height of the lighthouse by the horizontal distance from the buoy to the base of lighthouse

so

tan(68\°)=\frac{h}{300}

Solve for h

h=(300)tan(68\°)=742.5\ ft

7 0
3 years ago
What is angle A equal? <br><br> Thanks :)
Alex Ar [27]
Angle A and angle B sums up to 180 (interior angles)

6x - 35 + 3x + 53 = 180
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2 years ago
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