MATHEMATICS HIGH SCHOOL

A company has developed a new ink-jet cartridge for its printer that it believes has a longer life-time on average than the one currently being produced. To investigate its length of life, 40 of the new cartridges were tested by counting the number of high-quality printed pages each was able to produce. The sample mean and standard deviation were determined to be 1511.4 pages and 35.7 pages, respectively. The historical average lifetime for cartridges produced by the current process is 1502.5 pages. Calculate the appropriate test statistic to test the hypotheses.

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

Given that

mu = 1502.5 pages

Sample mean x bar = 1511.4 pages

Std deviation =s= 35.7 pages

Sample size n = 40

By assuming random samples since only sample std dev is know we can say that sample mean x bar follows a t distribution with

mean =1511.4 and std error = $(35.7)/(√(40) ) \n=5.64$

Test statistic t = Mean diff/STd error = 1.613

df = 39

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Brenda observes that the keyboard and the screen of an open laptop lie on two different planes. In how many lines do the planes containing the keyboard and the screen intersect?

Answers

Let's assume the laptop is opened at 90 degrees (this is done for the sake of simplicity, is actually irrelevant) then each plane would be analogous to the 'x' and 'y' planes you see in a Cartesian Plane, which only intersect at one point called the Origin. Any two lines with different slopes will intersect only one time (if they're parallel they have the same slope)

Aleta deposited $450 into a savings account earning 3.75% simplest interest . How much interest will she ear in six years ? how can i solve this ?

Answers

hope u can understand.

Answer:

Step-by-step explanation: you can solve it by multiplying 450 by 3.75 percent and then times that by six if the interest is not yearly you must specify

What is the value of the expression? 43 • 4−5
a. 4−15
b. 4−2
c. 42
d. 48

Answers

We need to follow PEMDAS

So

$43 * 4 = 172$

$172 - 5 =$ 167

So... none of your answer choices are correct.

Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

First you do multiplication.
43 x 4 = 172

Then you do subtraction.
172 - 5 = 167

167 is the correct answer.

So the answer is e) 167.

How to evaluate this function
F(x+5) using this expression:F(x)=3x-4

Answers

Answer: 3x+11

Step-by-step explanation:

f(x) = 3x - 4

f(x + 5) = 3(x + 5) - 4 = 3x + 15 - 4 = 3x + 11

One linear function, t(x), can be modeled by the values in the table below. A second linear function can be modeled by the equation 3x − 2y + 6 = 0. When comparing the x-intercepts of these lines, which function has the largest x-intercept and what is this value?x t(x)
−2 −15
−1 −10
0 −5
1 0
2 5
t(x) has the largest x-intercept: 1.
3x − 2y + 6 = 0 has the largest x-intercept: 3.
t(x) has the largest x-intercept: −5.
3x − 2y + 6 = 0 has the largest x-intercept: −2.

Answers

That answer is wrong. the correct answer is C.

At x-intercept, y value = 0,

For t(x), x = 1 when y = 0, i.e. x-intercept = 1

for 3x - 2y + 6 = 0, when y = 0,
3x - 2(0) + 6 = 0
3x + 6 = 0
3x = -6
x = -6/3 = -2
i.e. x-intercept = -2

Therefore, t(x) has the highest x-intercept of 1.

Which statements about the graph of the function f(x) = 2x2 – x – 6 are true? Check all that apply.The domain of the function is .

The range of the function is all real numbers.

The vertex of the function is .

The function has two x-intercepts.

The function is increasing over the interval (, ∞

Answers

The correct answer for the question that is being presented above is this one: "The range of the function is all real numbers; The function has two x-intercepts. The statements about the graph of the function f(x) = 2x2 – x – 6 that are true includes: The range of the function is all real numbers; The function has two x-intercepts.

we have

$f(x) = 2x^(2) -x-6$