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3 years ago

You buy a new laptop for $300. The sales tax is 6%. What is the total cost for the laptop including the sales tax?

Mathematics

1 answer:

ladessa [460]3 years ago

6 0

Answer: Total cost incurred on new laptop is $318.

Explanation:

Since we have given that

Cost price of new laptop = $300

Sales tax = 6%

total cost of laptop including the sales tax is given by

$Cost\times \frac{100+\text{ sales tax}}{100}$

so,

$\text{ Cost price including the sales tax }\\\\=300\times \frac{100+6}{100}\\\\=300\times \frac{106}{100}\\\\=\$318$

So, total cost incurred on new laptop is $318.

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SAT reading and writing section scores of a random sample of twenty 11th-grade students in a certain high school are given below

kvasek [131]

Answer:

The value of test statistics is 25.

Step-by-step explanation:

We are given below the SAT reading and writing section scores of a random sample of twenty 11th-grade students in a certain high school;

380, 520, 480, 510, 560, 630, 670, 490, 500, 550, 400, 350, 440, 490, 620, 660, 700, 730, 740, 560

Let $\sigma$ = population standard of the reading and writing section SAT score of the students in this school

So, Null Hypothesis, $H_0$ : $\sigma \leq$ 100 {means that the reading and writing section SAT score of the students in this school is lesser than or equal to 100}

Alternate Hypothesis, $H_A$ : $\sigma$ > 100 {means that the reading and writing section SAT score of the students in this school is higher than 100}

The test statistics that would be used here is One-sample Chi-square test statistics;

T.S. = $\frac{(n-1)s^{2} }{\sigma^{2} }$ ~ $\chi^{2} __n_-_1$

where, $s^{2}$ = sample variance = $\frac{\sum (X-\bar X)^{2} }{n-1}$ = 13135.8

n = sample of 11th-grade students = 20

So, the test statistics = $\frac{(20-1)\times 13135.8^{2} }{100^{2} }$

= 24.96 ≈ 25

Hence, the value of test statistics is 25.

5 0

3 years ago

Solve the inequality for 4(x+1)<-6

PIT_PIT [208]

Distribute
4x+4(less than) -6

Subtract 4 on both side
4x(less than) -10

divide 4 both sides
x(less than)-2.5

(Final answer is bold) Good luck

7 0

3 years ago

Read 2 more answers

Alice solved the following equation:

son4ous [18]

Answer:

Alice is correct

Step-by-step explanation:

8 0

3 years ago

The octal system uses base 8. the only available digits would be 0, 1, 2, 3, 4, 5, 6, and 7. if the value 2468 is converted to d

marysya [2.9K]

Your description and expansion suggest you want to evaluate
.. 246₈ = 2*8² +4*8¹ +6*8⁰
.. = 2*64 +4*8 +6
.. = 166

5 0

3 years ago

Please help work this equation

Flauer [41]

Hi!

Given these two equations:

$x = y + 8$

$x + 4 = 2(y + 4)$

We want to solve using the substitution method. Knowing that x is equal to y + 8, we can simply plug in 'y + 8' in for x in the second equation, like so:

$(y+8)+4=2(y+4)$