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Julli [10]
3 years ago
5

√2 is an irrational number.

Mathematics
1 answer:
Leya [2.2K]3 years ago
5 0

Answer:

D.

Assume that √2 is rational.

Step-by-step explanation:

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A train that travels 30 miles in 1/3 hour at a constant speed is going faster than a train that travels 20 miles in 1/2 hour at
alexdok [17]

Answer:

The train going 30 miles in 1/3 hour is going faster than the other train.

Step-by-step explanation:

Calculate each rate by dividing the distance traveled by the amount of time it takes to cover that distance:

30 / (1/3) = 90 mph

20 / (1/2) = 40 mph

7 0
3 years ago
Brian's math test scores are: 86, 90, 93, 85, 79, 92. What is the mean and median?
IgorLugansk [536]

Answer:

Median: 89

Mean: 87.5

Step-by-step explanation:

86, 90, 93, 85, 79, 92

93, 85

93 + 85

178

178/2

89

86 + 90 + 93 + 85 + 79 + 92

525

525/6

87.5

4 0
3 years ago
Iris charges a fee for her consulting services plus an hourly rate that is 1 1/5 times her fee. On a 7-hour job, Iris charged $4
Kryger [21]

470/7= 67.14......

67.14 was her fee

67.14 * 1.5 = 100.71

100.71 is her hourly rate


8 0
3 years ago
A frog leaps 24 inches. The highest point in the jump is 6 inches. Assume the frog starts at (0,0). What quadratic function mode
Ivanshal [37]
The path is in the shape of a parabola, the horizontal length is 24, so the middle point is at x=12, the symmetry line is x=12, the highest point (the vertex) is at (12,6)
the equation in vertex form is y=a(x-12)²+6
next, find a by using either one of the two points, the starting point (0,0) or the end point (0,24). obviously (0,0) is easier to calculate:
0=a(0-12)² +6
a=-1/24
so the quadratic equation is y=-\frac{1}{24} (x-12)^2+6
5 0
3 years ago
Quality control is an important issue at ACME Company which manufacturers light bulbs. In order to conduct testing of the life h
mrs_skeptik [129]

Answer: 3424.28

Step-by-step explanation:

Given data : 378, 361, 350, 375, 200, 391, 375, 368,  321

Number of data values = 9

Mean :\overline{x}=\dfrac{\sum^n_{i=1} x_i}{n}

\\\\=\dfrac{378+361+350+375+200+391+375+368+321}{9}\\\\=\dfrac{3119}{9}\approx346.56

Variance = \dfrac{\sum^n_{i=1} (x_i-\overline{x})^2}{n-1}

\sum^n_{i=1} (x_i-\overline{x})^2 = (31.44)^2+(14.44)^2+(3.44)^2+(28.44)^2+(-146.56)^2+(44.44)^2+(28.44)^2+(21.44)^2+(-25.56)^2\\\\=27394.2224

Variance = \dfrac{27394.2224}{8}=3424.2775\approx3424.28

4 0
3 years ago
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