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3 years ago

Trapezoid ABCD is shown below.

Mathematics

1 answer:

notka56 [123]3 years ago

7 0

Answer:

A III only

Step-by-step explanation:

Because it's the answer and also when you do 3 x 3 and divide it by 3 you will get 3 that's why it's A.) III only

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Eitan is on a train heading west into the city while Dmitri is on a train on the adjacent track heading east, away from the city

siniylev [52]

The time when the two trains reach each other is 1.25 hours
The trains are 68.75 away from the city when they reach each other.

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3 years ago

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A random sample of 100 automobile owners in thestate of Virginia shows that an automobile is driven onaverage 23,500 kilometers

Anastaziya [24]

Answer:

a) 22497.7 < μ< 24502.3

b) With 99% confidence the possible error will not exceed 1002.3

Step-by-step explanation:

Given that:

Mean (μ) = 23500 kilometers per year

Standard deviation (σ) = 3900 kilometers

Confidence level (c) = 99% = 0.99

number of samples (n) = 100

a) α = 1 - c = 1 - 0.99 = 0.01

$\frac{\alpha }{2} =\frac{0.01}{2}=0.005\\ z_{\frac{\alpha }{2}}=z_{0.005}=2.57$

Using normal distribution table, $z_{0.005$ is the z value of 1 - 0.005 = 0.995 of the area to the right which is 2.57.

The margin of error (e) is given as:

$e= z_{0.005}\frac{\sigma}{\sqrt{n} } = 2.57*\frac{3900}{\sqrt{100} } =1002.3$

The 99% confidence interval = (μ - e, μ + e) = (23500 - 1002.3, 23500 + 1002.3) = (22497.7, 24502.3)

Confidence interval = 22497.7 < μ< 24502.3

b) With 99% confidence the possible error will not exceed 1002.3

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3 years ago

The number of men in a tour group is 15 times the number of women. If there are 48 people in the group, how many are men?

kolbaska11 [484]

Answer:

Step-by-step explanation:

15x1=15 so 2x as many men 15x2=30 30+ 15 is 45.

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3 years ago

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raketka [301]

Answer is:
x ≥ -18/5

2+4/9x ≥ 4+x
4/9x-x ≥4-2
4/9x-9/9x ≥2
- 5/9x ≥2 multiple by 9
-5x ≥2•9
-5x ≥18
x ≥ -5/18

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3 years ago

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List the angles in triangle QRS from smallest to largest.

schepotkina [342]

Answer:

angle R

Step-by-step explanation:

To solve this we will use cosine rule

Cosine rule

cos(A) = $\frac{b^{2}+c^{2}-a^{2}}{2bc}$

suppose,

q = 6.25

s = 11.04

r = 13.19

angleQ = $cos^{-1}(\frac{13.19^{2}+11.04^{2}-6.52^{2}}{2(13.19)(11.04)})$

= 30.58

angleR = $cos^{-1}(\frac{6.52^{2}+11.04^{2}-13.19^{2}}{2(6.52)(11.04)})$

= 93.82

angleS = $cos^{-1}(\frac{6.52^{2}+13.19^{2}-11.04^{2}}{2(6.52)(13.19)})$

= 56.63

4 0

3 years ago