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2 years ago

What is the best approximate solution of the system of linear equation y=1.5x - 1 and y=1

Mathematics

1 answer:

kiruha [24]2 years ago

6 0

1 = 1.5x -1
+1 +1
2 = 1.5x
/1.5 /1.5
4/3 = x

y = 1.5 ( 4/3 ) -1
y = 1

solution:
x = 4/3
y = 1

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A company has a policy of retiring company cars; this policy looks at number of miles driven, purpose of trips, style of car and

IRINA_888 [86]

Answer:

The approximate percentage of cars that remain in service between 73 and 84 months

P( 73 < x < 84 ) = 0.02145 = 2.1 %

Step-by-step explanation:

Explanation:-

Given mean of the Population 'μ ' = 51 months

Standard deviation of the Population 'σ' = 11 months

Let 'X' be the random variable of Normal distribution

Let 'X' = 73

$Z = \frac{x-mean}{S.D} = \frac{73-51}{11} = 2$

Let 'X' = 84

$Z = \frac{84-51}{11} = 3$

The approximate percentage of cars that remain in service between 73 and 84 months

P( 73 < x < 84 ) = P( 2 < Z < 3)

= P( Z<3) - P( Z <2)

= 0.5 + A(3) - ( 0.5 + A(2))

= A(3) - A( 2)

= 0.49865 - 0.4772 ( From Normal table)

= 0.02145

P( 73 < x < 84 ) = 0.02145

The approximate percentage of cars that remain in service between 73 and 84 months

P( 73 < x < 84 ) = 0.02145 = 2.1 %

7 0

3 years ago

The local public transport authority is conducting research into commuter behaviour. A previous census indicated that the mean c

kondor19780726 [428]

Answer:

$H_0:\mu = 45$ and $H_a:\mu < 45$

$T = 34.88$

The null hypothesis is not rejected

Step-by-step explanation:

Given

Random sample of 50 commuter times

Solving (a): The null and alternate hypothesis

From the question, a previous census shows that:

$\mu =45$ and $\sigma= 9.1$

This is the null hypothesis i.e.

$H_0:\mu = 45$

Reading further, a new test was to show whether the average has decreased.

This is the alternate hypothesis, and it is represented as:

$H_a:\mu < 45$

Solving (b) and (c): The test statistic (T).

This is calculated using:

$T = \frac{\mu}{\sigma/\sqrt n}$

In this case:

$n = 50$ $\mu =45$ and $\sigma= 9.1$

So:

$T = \frac{45}{9.1/\sqrt{50}}$

$T = \frac{45}{9.1/7.07}$

$T = \frac{45}{1.29}$

$T = 34.88$

Solving (c): Accept or reject null hypothesis

$\alpha = 0.05$

First calculate the degrees of freedom (df)

$df = n - 1 = 50 - 1$

$d f = 49$

From the t distribution table,

At: $d f = 49$ , $\alpha = 0.05$ and $T = 34.88$

the t score is:

$p = 1.676$

$p > 0.05$

So, the null hypothesis is not rejected

7 0

2 years ago

Jill, an employee at Old Navy, budgets 18 of her yearly salary for clothing. Jill's total clothing bill for the year is $8,180.

Triss [41]

Answer: $ 45,444.44

Step-by-step explanation:

Given: Jill budgets 18% of her yearly salary for clothing.

His total clothing bill for the year is $8,180.

Let x= her yearly salary

Then according to the question , we have

18% of x = 8180

Convert 18% into decimal by dividing it by 100 , we get

0.18 x= 8180

Multiply both sides by 100

⇒ 18x = 818000

Divide both sides by 18 , we get

x= 45444.44

Hence, her yearly salary = $ 45,444.44

8 0

3 years ago

Find the volume of a frustum of a right pyramid whose lower base is a square with a side 5in. And whose upper base is a square w

mina [271]

The volume of the frustrum is the difference in the volumes of these two pyramids:
30 * 5^2 / 3 - 18 * 3^2 / 3 
= 750/3 - 162/3 
= 250 - 54 
= 196 cubic inches.

You're Answer is A- 196 cu in.

3 0

3 years ago

What is the graph represents the equation y=1/3x+2

Kaylis [27]

Step-by-step explanation:

step 1. you mean which graph represents the equation y = (1/3)x + 2?

step 2. please provide the graphs - they are missing.

step 3. the equation has a slope of 1/3 which means it goes up one and three to the right.

step 4. the y intercept is 2 so it goes through the point (0, 2).

3 0

2 years ago