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3 years ago

Which function is graphed below? a) y=1/3(3)^x b) y=3(1/3)^x c) y=(1/2)^x+2 d) y=(2)^x-1

Mathematics

1 answer:

Serjik [45]3 years ago

6 0

Answer:

Step-by-step explanation:

The quickest way to do this is to use a graphing calc or an online graphing program and graph each problem. When you do so, you should get B. y=3(1/3)^x as your answer.

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Find the final price of a $849.99 laptop with 6% sales tax.

denis-greek [22]

Answer:

$900.9

Step-by-step explanation:

Find the final price of a $849.99

laptop with 6% sales tax.

Given data

Price= $849.99

Tax = 6%

Let us find the amount of the tax

=6/100*849.99

=0.06*849.99

=$50.9994

Now the final price is

=50.9994+849.99

=$900.9

6 0

3 years ago

The quality manager at Bestiful Company is certifying a new process that must produce 95% (or better) good product before the pr

Nadya [2.5K]

Answer:

The calculated value Z= -0.5822

|z| = |-0.5822|< 2.576 at 0.01 level of significance

Hence null hypothesis is accepted

The quality manager at Restful Company is certifying a new process that must produce 95% (or better) good product

Step-by-step explanation:

Explanation:-

Step:-(i)

The Population proportion is P = 95% =0.95

A sample of 40 containers from the process line are tested, and 93% are found to be good

Sample size ( n) =40

The sample proportion 'p' = 0.93

Level of significance (α )= 0.01.

Null hypothesis:-p = 95%=0.95

Alternative hypothesis:- p≠0.95

The test statistic

$Z = \frac{p-P}{\sqrt{\frac{PQ}{n} } }$ (i)

Step:(ii)

substitute all values in (i)

$Z = \frac{0.93-0.95}{\sqrt{\frac{0.95X0.05}{40} } }$

Z = -0.5822

The calculated value Z= -0.5822

|z| = |-0.5822|< 2.576 at 0.01 level of significance

Hence null hypothesis is accepted

Conclusion:-

The quality manager at Restful Company is certifying a new process that must produce 95% (or better) good product

4 0

3 years ago

The sum of the first n positive integers can be found using the formula n(n+1)/2. How many integers must be added to get 253 as

Marizza181 [45]

Answer:

Step-by-step explanation:

Using the given expression and the sum, we can set up an equation and solve for the value of 'n':

$\frac{n(n+1)}{2}=253$

Multiply both sides by '2':

$2(\frac{n(n+1)}{2})=253(2)$

n(n+1) = 506

Distribute: n² + n - 506 = 0

Factor: (n + 23) (n - 22) = 0

Set each equation equal to '0' and solve:

n + 23 = 0 n - 22 = 0

n = -23 or n = 22

Since the problem says the integers are positive, then n = 22.

7 0

3 years ago

(a) Calculate the value of 2/0.4^2

Arada [10]

Answer:

32/0 or infinity

Step-by-step explanation:

$\frac{2}{0}(4^2)$
$\frac{2}{0}(16)$
$\frac{32}{0}$
$\frac{32}{0} =$ ∞

Therefore, the answer is 32/0 or infinity.

6 0

2 years ago

20. An amount of money was shared among five boys Ali, Juma, Musa, Khalid and Mustafa. Ali got /8 of the total amount while Juma

Nadusha1986 [10]

Answer:

$x=\frac{18000}{7}=2571\frac{3}{7}$

Step-by-step explanation:

Let the total amount be x

Then Ali got 1/8x With 7/8x left

Juma got 7/40x with 7/10x left

Musa, Khalid and Mustafa got 7/30x each

since $\frac{7}{30}x=600$

7x=18000

$x=\frac{18000}{7}=2571\frac{3}{7}$

3 0

2 years ago