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Romashka-Z-Leto [24]
3 years ago
9

The minimum and maximum temperature on a cold day can be modeled by the equation 2[x-6]+14=38 What are the min and max temperatu

res for this day?
Mathematics
2 answers:
SashulF [63]3 years ago
6 0
Here are the steps to calculating the given equation:

Distribute 2 to x and 6: 2x-12+14=38
Group like terms: 2x+(-12+14)=38
Combine like terms: 2x+2=38
Subtract number on 'x' side: 2x+2-2=38-2
Simplify: 2x=36
Divide: 2x/2=36/2
Simplify: x=18
Label with correct terms: 
I cannot do this because you did not provide sufficient information, I would need to know what the difference between the two, or if 'x' stood for one particular temperature. Hope that helped enough with what you provided.
Nimfa-mama [501]3 years ago
3 0

assuming the brackets are absolute values, the max would be 18 and the min you be -6

there are always two solutions when it comes to absolute value if it begins with something higher than zero

x = 18

x = -6

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Answer:

No

Step-by-step explanation:

x = -2 represents a vertical line that intersects the x axis at the point (-2, 0). Since the line is vertical, the slope is undefined making it not have a positive slope.

Best of Luck!

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3 years ago
How do you write: One third of the opposite of a number is less than 12?
Romashka [77]
-1/3n = -12 is the way you write it
5 0
3 years ago
A manufacturer must test that his bolts are 4.00 cm long when they come off the assembly line. He must recalibrate his machines
storchak [24]

Answer:

The null hypothesis is H_o: \mu = 4.

The alternate hypothesis is H_a: \mu \neq 4

The pvalue of the test is 0.0182 < 0.05, which means that there is sufficient evidence to show that the manufacturer needs to recalibrate the machines.

Step-by-step explanation:

A manufacturer must test that his bolts are 4.00 cm long when they come off the assembly line.

This means that the null hypothesis is that they are 4.00 cm long, that is:

H_o: \mu = 4

At the alternate hypothesis we test if it is different. So

H_a: \mu \neq 4

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

4 is tested at the null hypothesis:

This means that \mu = 4

After sampling 196 randomly selected bolts off the assembly line, he calculates the sample mean to be 4.14 cm.

This means that n = 196, X = 4.14

He knows that the population standard deviation is 0.83 cm.

This means that \sigma = 0.83

Value of the test statistic:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{4.14 - 4}{\frac{0.83}{\sqrt{196}}}

z = 2.36

Pvalue of the test and decision:

The pvalue of the test is the probability that the sample mean is different by at least 4.14 - 4 = 0.14 from the target value, which is P(|z| > 2.36), which is 2 multiplied by the pvalue of z = -2.36.

Looking at the z-table, z = -2.36 has a pvalue of 0.0091

2*0.0091 = 0.0182

The pvalue of the test is 0.0182 < 0.05, which means that there is sufficient evidence to show that the manufacturer needs to recalibrate the machines.

5 0
2 years ago
REALIZAR CADA ELERCICIO POR LOS TRES METIDOS EXPLICADOS EN CLASE
meriva

Hello!

Answer:

1. x= 1 / y= 2 / z= -3 / <u>(1 ; 2 ; -3)</u>

2. x= 3 / y= -5 / z= 8 / <u>(3 ; -5 ; 8)</u>

Step-by-step explanation:

                           

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3 years ago
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siniylev [52]
B bc of the mass of the cup is 12
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