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Darina [25.2K]
3 years ago
13

I need help I’m stuck

Mathematics
1 answer:
Svetlanka [38]3 years ago
3 0
The vertex of the angle must stay the same so F must always be in the middle.
Therefore you have EFG
And GFE
You might be interested in
Need answers for 70-75
adoni [48]

Answer:

70. 0

71. -54

72. 12

73. 86

74. 59

Step-by-step explanation:

To evaluate an expression, substitute specific values for the variables and simplify using Order of Operations.

70. c-3d becomes

(1)-3(\frac{1}{3}) = 1-(\frac{3}{3}) = 1-1 = 0

71. x+x^3-4x^4 becomes

2+2^3-4(2)^4 = 2+8-4(16) = 2+8-64=10-64=-54

72. 5a+3a^2 becomes

5(-3)+3(-3)^2 = -15 +3(9) = -15 + 27 = 12

73. F=\frac{9}{5}C+32 becomes

F=\frac{9}{5}(30)+32=\frac{270}{5}+32 = 54+32 = 86

74.  F=\frac{9}{5}C+32 becomes

F=\frac{9}{5}(15)+32=\frac{135}{5}+32 = 27+32 = 59

8 0
3 years ago
Can someone please help me quickly
tia_tia [17]
1. The amount will remain the same because 1/8*8/1*x=1x
2. 15*5280/3600=ft per second
6 0
3 years ago
Rockwell hardness of pins of a certain type is known to have a mean value of 50 and a standard deviation of 1.8. (Round your ans
Alenkinab [10]

Answer:

a) 0.011 = 1.1% probability that the sample mean hardness for a random sample of 17 pins is at least 51

b) 0.0001 = 0.1% probability that the sample mean hardness for a random sample of 45 pins is at least 51

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 are 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 normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

\mu = 50, \sigma = 1.8

(a) If the distribution is normal, what is the probability that the sample mean hardness for a random sample of 17 pins is at least 51?

Here n = 17, s = \frac{1.8}{\sqrt{17}} = 0.4366

This probability is 1 subtracted by the pvalue of Z when X = 51. So

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

By the Central Limit Theorem

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

Z = \frac{51 - 50}{0.4366}

Z = 2.29

Z = 2.29 has a pvalue of 0.9890

1 - 0.989 = 0.011

0.011 = 1.1% probability that the sample mean hardness for a random sample of 17 pins is at least 51

(b) What is the (approximate) probability that the sample mean hardness for a random sample of 45 pins is at least 51?

Here n = 17, s = \frac{1.8}{\sqrt{45}} = 0.2683

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

Z = \frac{51 - 50}{0.0.2683}

Z = 3.73

Z = 3.73 has a pvalue of 0.9999

1 - 0.9999 = 0.0001

0.0001 = 0.1% probability that the sample mean hardness for a random sample of 45 pins is at least 51

8 0
3 years ago
A company manufactures replacement parts for construction cranes. The fixed manufacturing cost is $2,400, and the variable cost
velikii [3]
The minimum number of parts is 800
7 0
3 years ago
The minimum value of f(x) = x3 – 3x2 – 9x + 2 on the interval [–4, 0] is
garri49 [273]

Answer:

-74

Step-by-step explanation:

Graph the function. See attached picture. Between the interval where -4 > x < 0, the graph rises up to a peak and descends back down when x = 0. This means the minimum value will be where x = -4.

Substitute x = -4 into the equation.

f(-4) = (-4)^3 -3(-4)^2 - 9(-4) + 2

f(-4) = -64 -3(16) +36 + 2

f(-4) = -64 - 48 + 36 + 2

f(-4) = -74

5 0
3 years ago
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