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dangina [55]
3 years ago
14

What’s the correct answer for this?

Mathematics
2 answers:
hichkok12 [17]3 years ago
5 0

Answer:

B

Step-by-step explanation:

Look at the shape closely observe the following the imaginary lines;

OC = OA , OB = OD {these is the raduis of the circle;

note also line CQ = CD { the perpendicular line bisects line CD in two equal halves;

Similarly ;

note also line AP= PB { the perpendicular line bisects line OP in two equal halves}

Hence;

OP is congruent to the OQ

In maths we say something is congruent when they are the same shape and have same angles but we are allowed to flip it's side.

Diano4ka-milaya [45]3 years ago
3 0

Answer:

B

Step-by-step explanation:

OP = OQ

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A random sample of 81 automobiles traveling on a section of an interstate showed an average speed of 60 mph. The distribution of
myrzilka [38]

Answer:

Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:

X \sim N(60,13.5)  

Where \mu=60 and \sigma=13.5

And for this case we select a sample size of n= 81. Since the distribution for X is normal then we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

And the standard error of the mean would be:

\sigma_{\bar X} =\frac{13.5}{\sqrt{81}}= 1.5

4.1.5

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:

X \sim N(60,13.5)  

Where \mu=60 and \sigma=13.5

And for this case we select a sample size of n= 81. Since the distribution for X is normal then we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

And the standard error of the mean would be:

\sigma_{\bar X} =\frac{13.5}{\sqrt{81}}= 1.5

4.1.5

7 0
4 years ago
A car rental agency currently has cars available, of which have a GPS navigation system. Two cars are selected at random from th
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Answer:

(30/40)*(29/39) = 29/52 =~ 0.55769

Step-by-step explanation:

The probability is calculated assuming the cars were chosen without replacement .

6 0
3 years ago
Graph the first six terms of a sequence where a1 = 2 and r = 4.
zavuch27 [327]
We are given with
a1 = 2
r = 4

These are components of a geometric series. The first term is 2 and the common ratio is 4. To get the first six terms, we use the formula:
an = a1 r^(n-1)
a1 = 2 (4)^(1-1) = 2
a2 = 2 (4)^(2-1) = 8
a3 = 2 (4)^(3-1) = 32
a4 = 2 (4)^(4-1) = 128
a5 = 2 (4)^(5-1) = 512
a6 = 2 (4)^(6-1) = 2048
8 0
3 years ago
Read 2 more answers
Calculate the expected value of playing a lottery ticket game where each ticket costs $5, and the chance of having winning ticke
Amanda [17]

Answer:

$4895

Step-by-step explanation:

P(winning) = 1 / 1000000 = 0.000001

P(not winning) = 1 - 1/1000000 = 0.999999

Winning amount = 4,900,000,000 - 5 = 4899999995

Amount lost = - 5

__ X: - 5 _________ 4899999995

P(X) : 0.999999 ___ 0.000001

Expected value E(x) = Σx * p(x)

E(x) = - 5(0.999999) + 4899999995(0.000001)

E(x) = - 4.999995 + 4899.999995

E(x) = 4895

Hence, expected value is 4895

6 0
3 years ago
3. Jane wants to plant grass Seed in her yard. If it costs $0.55 per Square foot to plant grass Seed, how much will Jane Spend?
DIA [1.3K]

Answer:

Step-by-step explanation:

area off reg 1

10 x 25 = 250

area of reg 2

45 x 13 = 585

total surface area

585 + 250 = 835ft^2

835ft^2 x $0.55 = $459.25

7 0
2 years ago
Read 2 more answers
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