Help ASAP.. PLZ

Which value of x is in the solution set of the following inequality. -3x +5 >7

Vadim26 [7]

I’m not sure if this was a typo, but A and B are the same answer. A and B are correct, because when you solve this the answer has to be anything less than -0.6.

8 0

4 years ago

When the author visited Dublin, Ireland (home of Guinness Brewery employee William Gosset, who first developed the t distributio

disa [49]

Answer:

The Decision Rule

Fail to reject the null hypothesis

The conclusion

There is no sufficient evidence to support the claim that the mean age of the cars is greater than that of taxi

Step-by-step explanation:

From the question we are told that

The data is

Car Ages 4 0 8 11 14 3 4 4 3 5 8 3 3 7 4 6 6 1 8 2 15 11 4 1 6 1 8

Taxi Ages 8 8 0 3 8 4 3 3 6 11 7 7 6 9 5 10 8 4 3 4

The level of significance $\alpha = 0.05$

Generally the null hypothesis is $H_o : \mu_1 - \mu_2 = 0$

the alternative hypothesis is $H_a : \mu_1 - \mu_2 > 0$

Generally the sample mean for the age of cars is mathematically represented as

$\= x_1 = \frac{\sum x_i }{n}$

=> $\= x_1 = \frac{4+ 0+ 8 +11 + \cdots + 8
}{27}$

=> $\= x_1 = 5.56$

Generally the standard deviation of age of cars

$\sigma _1 = \sqrt{\frac{\sum (x_i - \= x)^2}{n_1} }$

=> $\sigma _1 = \sqrt{\frac{(4 - 5.56)^2 + (0 - 5.56)^2+ (8 - 5.56)^2 + \cdots + 8}{ 27} }$

=> $\sigma _1 = 3.88$

Generally the sample mean for the age of taxi is mathematically represented as

$\= x_2 = \frac{\sum x_i }{n}$

=> $\= x_2 = \frac{8 +8 +0 + \cdots + 4
}{20}$

=> $\= x_2 = 5.85$

Generally the standard deviation of age of taxi

$\sigma _2 = \sqrt{\frac{\sum (x_i - \= x)^2}{n_1} }$

=> $\sigma _2 = \sqrt{\frac{(8 - 5.85)^2 + (8 - 5.85)^2+ (0 - 5.85)^2 + \cdots + 8}{ 20} }$

=> $\sigma _2 = 2.83$

Generally the test statistics is mathematically represented as

$t = \frac{(\= x_ 1 - \= x_2 ) - 0}{\sqrt{\frac{\sigma^2_1}{n_1} + \frac{\sigma^2_2}{n_2} } }$

=> $t = \frac{(5.56 - 5.85 ) - 0}{\sqrt{\frac{(3.88)^2}{27} + \frac{(2.83)}{20} }}$

=> $t = -0.30$

Generally the degree of freedom is mathematically represented as

$df = n_1 + n_2 -2$

$df = 27 + 20 -2$

$df = 45$

From the t distribution table the $P(t > t )$ at the obtained degree of freedom = 45 is

$P(t > -0.30 ) = 0.61722067$

So the p-value is

$p-value = P(t > T) = 0.61722067$

From the obtained values we see that the p-value > $\alpha$ hence we fail to reject the null hypothesis

Hence the there is no sufficient evidence to support the claim that the mean age of the cars is greater than that of taxi

5 0

3 years ago

Factor. x^2−10x−11

lys-0071 [83]

Xjsksnsosnsosnsosnd. Didnrjebs didneisneiw sjs did god Factor. x^2−10x−11

(x+11)(x−1)

(x+11)(x+1)

(x−11)(x+1)

(x−11)(x−1)

8 0

3 years ago

Help please

viva [34]

Answer:

Easy way to distinguish:

Linear function forms a AP and exponential function forms a GP

We see f(x) is series of:

8, 14, 20, 26, 32

This is a AP with common difference of 6 and the first term of 8

g(x) is series of:

4, 12, 36, 108, 324
This is a GP with common ratio of 3 and the first term of 4

1. g(x) is exponential function:

g(x) =4*3ˣ

2. f(x) is linear function:

f(x) = 6x + 8

7 0

3 years ago

omar has 5 liters of water he divides the water evenly between 4 buckets. how many milliters does omar pour in each bucket

ArbitrLikvidat [17]

Answer:

1250 milliliters

Step-by-step explanation:

Omar has 5 liters of water. He divides evenly between 4 buckets.

5/4 = 1.25

He pours 1.25 liters in each bucket.

Convert 1.25 liters into milliters.

1.25 × 1000

1250 milliliters.

Omar pours 1250 milliliters in each bucket.

5 0

3 years ago