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tiny-mole [99]
3 years ago
8

Please help to solve it step by step, (show working) please help me

Mathematics
1 answer:
ANTONII [103]3 years ago
7 0
I'm assuming you only need the first triangle. You didn't specify. If you need it after I answer the first one I'll be happy to help though.

To find the area of a triangle you go b(h)/2=a

6cm(3cm)/2
18/2
Area=9

To find the perimeter you add all of the sides together.

4+4+6=P
4+10=P
14= Perimeter
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The operation manager at a tire manufacturing company believes that the mean mileage of a tire is 48,564 miles, with a standard
DerKrebs [107]

Answer:

0.0091 = 0.91% probability that the sample mean would be less than 48,101 miles in a sample of 281 tires if the manager is correct

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, the sample means with size n of at least 30 can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 48564, \sigma = 3293, n = 281, s = \frac{3293}{\sqrt{281}} = 196.44

What is the probability that the sample mean would be less than 48,101 miles in a sample of 281 tires if the manager is correct?

This is the pvalue of Z when X = 48101. So

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

By the Central Limit Theorem

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

Z = \frac{48101 - 48564}{196.44}

Z = -2.36

Z = -2.36 has a pvalue of 0.0091

0.0091 = 0.91% probability that the sample mean would be less than 48,101 miles in a sample of 281 tires if the manager is correct

6 0
3 years ago
Estimate how many times larger (1.9) x 10⁻⁸ is than (4.2) x 10⁻¹³ ????
Igoryamba

Answer:

1.9 x 10=19

4.2x10=42

Now just find out how to multiply 19 -8 times and how to multiply 42, -13 times.

Step-by-step explanation:

hope this helps if not sorry

8 0
2 years ago
Read 2 more answers
I need help please i need the amount of miles
musickatia [10]

Answer: Perimeter is 23/8 miles

Step-by-step explanation: 7/8 can be converted into 14/16, when added to 18/16 you get 46/16 which is 23/8

7 0
3 years ago
Solve the system of equations x+y=-8 and -9x-6y=60 by combining the equations
TiliK225 [7]

Answer:

x = - 4    y = - 4

Step-by-step explanation:

x+y= - 8

-9x-6y=60

First, solve for x in the first equation:

x+y = - 8       Subtract y from both sides

x + y - y = -8 - y    y cancels on the left

x = - 8 - y

Now plug in what you found for x into the 2nd equation and solve for y.

- 9x - 6y = 60

-9(- 8 - y) - 6y = 60   Multiply out

72 + 9y - 6y = 60

72 + 3y = 60  Subtract 72 from both sides

72 - 72 + 3y = 60 - 72    72 cancels on the left

3y = - 12     Divie both sides by 3

3y/3 = -12/3     3 cancels on the left because 3/3 = 1

y = -4

Now plug your answer for y back into the first equation to get x.

x + y = -8

x + (-4) = - 8  Add 4 to each side

x - 4 + 4 = - 8 + 4   4 cancels on the left

x = -4

x = - 4 and y = - 4

8 0
3 years ago
What is the algebraic notation of a figure is Translated 6 units left and 5 units up?
BigorU [14]
The last answer choice is correct
4 0
3 years ago
Read 2 more answers
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