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ra1l [238]
3 years ago
10

Evaluate k (t) = 10t-19 at the specified input. k(-7) = Explain your answer.

Mathematics
2 answers:
mr_godi [17]3 years ago
8 0
Plug -7 for x

10*-7 = -70 - 19 = -89

<span>k(-7) = -89</span>
Lera25 [3.4K]3 years ago
3 0
K(t) = 10t - 19

subtitute k = -7 to an equation:

k(-7) = 10(-7) - 19 = -70 - 19 = -89
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2 years ago
The number of "destination weddings" has skyrocketed in recent years. For example, many couples are opting to have their wedding
melamori03 [73]

Answer:

We conclude that the mean wedding cost is less than $30,000 as advertised.

Step-by-step explanation:

We are given the following data set:(in thousands)

29100, 28500, 28800, 29400, 29800, 29800, 30100, 30600

Formula:

\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}  

where x_i are data points, \bar{x} is the mean and n is the number of observations.  

Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

Mean =\displaystyle\frac{236100}{8} = 29512.5

Sum of squares of differences = 3408750

S.D = \sqrt{\frac{3408750}{7}} = 697.82

Population mean, μ = $30,000

Sample mean, \bar{x} = $29512.5

Sample size, n = 8

Alpha, α = 0.05

Sample standard deviation, s = $ 697.82

First, we design the null and the alternate hypothesis

H_{0}: \mu = 30000\text{ dollars}\\H_A: \mu < 30000\text{ dollars} We use one-tailed t test to perform this hypothesis.

Formula:

t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }

Putting all the values, we have

t_{stat} = \displaystyle\frac{29512.5 - 30000}{\frac{697.82}{\sqrt{8}} } = -1.975

Now,

t_{critical} \text{ at 0.05 level of significance, 7 degree of freedom } = -1.894

Since,                  

t_{stat} < t_{critical}

We fail to accept the null hypothesis and reject it.

We conclude that the mean wedding cost is less than $30,000 as advertised.

8 0
3 years ago
The graph below plots the values of y for different values of x: (look at graph picture)
Dima020 [189]

Answer:

A: x and y have a strong, positive correlation

Step-by-step explanation:

Correlation coefficient measures the relation between   two variable.

it signifies how the value of one variable will change when the change in other variable is made.

Its value ranges from 0 to 1

  1. 0 represent no relation
  2. 1 represent strong relation

thus, as value increases from 0 to 1 , correlation strength increases.

Correlation coefficient can be negative and positive

  1. negative relation signifies that as value of one variable increases then the value of other will decrease and vice-versa
  2. positive relation signifies that as value of one variable increases then the value of other will also increase and vice versa

Given, that correlation coefficient between x and y  is  0.9

since there is no negative sign it means there is positive correlation

value is 0.9

as 0.9 is nearer to  1, it is clear that relation is strong.

based on above discussion

option A

 x and y have a strong, positive correlation is correct answer

If we look at graph we can see that as x increases y also increases.

the rate of increase of value of y in response of x is also high.

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5 0
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kompoz [17]

Answer:

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Step-by-step explanation:

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5 0
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geniusboy [140]
Your answer is 6 centimeters because you would have to subtract 3 from 9. Hence, your answer is 6. 

Hope I helped!
4 0
3 years ago
Read 2 more answers
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