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Blababa [14]
3 years ago
12

21x+28=14 and 9x+12y=6

Mathematics
1 answer:
Westkost [7]3 years ago
7 0
<span>21x+28=14
x= -2/3 or -0.666666666

</span><span>9x+12y=6
x=2/3 or .666666666
y=0</span>
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Write a division expression with a quotient that is: greater than 8÷0.001 less than 8÷0.001 between 8÷0.001 and 8÷110 does one b
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Answer:

  • 9÷0.001 is greater than 8÷0.001.
  • 7÷0.001 is less than 8÷0.001.
  • 8÷0.002 lie between 8÷0.001 and 8÷110.

Step-by-step explanation:

  • The division expression which is greater than 8÷0.001 is:

9÷0.001

Since, the numerator of the number 9÷0.001 is greater than 8÷0.001. and as their denominator is same.

so, the number whose numerator is greater than the other will result in the overall number to be greater.

  • The division expression which is less than 8÷0.001 is 7÷0.001.

Since, for two numbers with same denominator the number whose numerator is smaller is smaller than the other.

  • The division expression that lie between 8÷0.001 and 8÷110 is: 8÷0.002.

Since 8÷0.002 is greater than 8÷110, as for two numbers with same numerator but different denominator the number whose denominator is greater is a smaller number.

similarly 8÷0.002 is smaller than 8÷0.001.





8 0
3 years ago
Which of the following has a geometric sequence
iren [92.7K]

Answer:

5, -25, 125, -625

Step-by-step explanation:

A geometric sequence is where a number is divided or multiplied by same number continuously

in the third option the number are multiplied by (-5) continuously

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3 years ago
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Answer:

40°

Step-by-step explanation:

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Each angle measure = 1260 ÷ 9 = 140°

The value of x (the outside angle) = 180° - 140° = 40°

5 0
3 years ago
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3 years ago
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In Pennsylvania the average IQ score is 101.5 The variable is normally distributed and the population standard deviation is know
elena-14-01-66 [18.8K]

Answer:

P-value = 0.0368

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 101.5

Sample mean, \bar{x} = 106.4

Sample size, n = 30

Alpha, α = 0.05

Population standard deviation, σ = 15

First, we design the null and the alternate hypothesis

H_{0}: \mu = 101.5\\H_A: \mu> 101.5

We use One-tailed(right) z test to perform this hypothesis.

Formula:

z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }

Putting all the values, we have

z_{stat} = \displaystyle\frac{106.4 - 101.5}{\frac{15}{\sqrt{30}} } = 1.789

Now, z_{critical} \text{ at 0.05 level of significance } = 1.64

Since,  

z_{stat} > z_{critical}

We reject the null hypothesis and accept the alternate hypothesis. Thus, students in Pennsylvania have an IQ that is significantly greater than the state average.

P-value can be calculated with the standard normal table.

P-value = 0.0368

P-value is lower than the significance level.

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3 years ago
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