Please help me on 18

After sales tax, a $600 antique clock costs $642. What is the sales tax percentage?

LenKa [72]

well, clearly the tax is the added 42 bucks, so hmmm if we take 600 to be the 100%, how much is 42 off of it in percentage?

$\begin{array}{ccll} amount&\%\\ \cline{1-2} 600 & 100\\ 42& x \end{array} \implies \cfrac{600}{42}=\cfrac{100}{x}\implies \cfrac{100}{7}=\cfrac{100}{x} \\\\\\ 100x=700\implies x=\cfrac{700}{100}\implies x=7$

5 0

2 years ago

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Does 2 1/3-1 3/4 need require renaming

ANEK [815]

Answer:

$\frac{7}{12}$

Step-by-step explanation:

$2 \frac{1}{3} - 1 \frac{3}{4}$

The fractions above are known as mixed numbers (that is, fractions that contain the combination of a whole number and proper fraction). The mixed numbers can equally be renamed as improper fractions. However, renaming can only occur the the mixed numbers are being transformed as below:

$\frac{7}{3} - \frac{7}{4}$

The transformation occur through a simple approach thus: for the first mixed number; 2 1/3 = 2 multiplied by 3 plus 1 divide by 3 equals 7/3. Similarly, mixed number 1 3/4 is transformed by this: 1 multiplied by 4 plus 3 divide by 4 equals 7/4.

Simplifying further to arrive at final result implies,

$\frac{7}{3} - \frac{7}{4}$

Take the LCM of the denominators (4 × 3 =12) and simplify thus:

$= \frac{28 - 21}{12}$

$= \frac{7}{12}$

6 0

3 years ago

What is the solution to the compound inequality? -8< 2x-4<2

DanielleElmas [232]

Answer:

–2 < x < 3

Step-by-step explanation:

–8 < 2x – 4 < 2

Add 4 to all parts:

–8 + 4 < 2x – 4 + 4 < 2 + 4

Simplify:

–4 < 2x < 6

Divide all parts by 2:

(–4 ÷ 2) < (2x ÷ 2) < (6 ÷ 2)

Simplify:

–2 < x < 3

4 0

3 years ago

A highway department executive claims that the number of fatal accidents which occur in her state does not vary from month to mo

den301095 [7]

This question is incomplete, the complete question;

A highway department executive claims that the number of fatal accidents which occur in her state does not vary from month to month. The results of a study of 193 fatal accidents were recorded. Is there enough evidence to reject the highway department executive's claim about the distribution of fatal accidents between each month? Month Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec Fatal Accidents 11 13 22 11 15 29 15 9 13 15 22 18

Step 10 of 10 : State the conclusion of the hypothesis test at the 0.1 level of significance.

Answer: H₀ : The distribution of fatal accidents between each month is same

Step-by-step explanation:

H₀ : The distribution of fatal accidents between each month is same

H₁ : The distribution of fatal accidents between each month is different

Let the los be alpha 0.10

given data ;

Observed Expected

Mon Freq (Oi) Freq Ei (Oi-Ei)^2 /Ei

Jan 11 16.0833 1.606649

Feb 13 16.0833 0.591105

Mar 22 16.0833 2.176598

Apr 11 16.0833 1.606649

May 15 16.0833 0.072971

Jun 29 16.0833 10.373489

Jul 15 16.0833 0.072971

Aug 9 16.0833 3.119603

Sep 13 16.0833 0.591105

Oct 15 16.0833 0.072971

Nov 22 16.0833 2.176598

Dec 18 16.0833 0.228411

Total: 193 93 22.689119

Expected Freq ⇒ 193 / 12 = 16.08333

Test Statistic, x² : 22.6891

Num Categories: 12

Degrees of freedom: 12 - 1 = 11

Critical value X² : 24.725

P-Value: 0.0195

since Chi-square value < Chi-square critical value

and P-value > alpha 0.01 so we accept H₀

Therefore we conclude that the distribution of fatal accidents between each month is same

7 0

3 years ago

What is the y-intercept of y = 1 + 6x?

Tcecarenko [31]

Answer:

Hey!

Your answer is 1 (the y-intercept is 1)

Step-by-step explanation:

x-intercept = ( − 1/ 6 , 0 )

y-intercept = ( 0 , 1 )

Explanation:

Slope formula is

= r i s e/ r u n

Since 6 is obviously 6/ 1 then...

we know that the slope goes up 6 units

and right 1 unit on a graph.

Next we have to find the y-intercept of the line

of y=6x+1, you substitute x as x=0.

y = 6

x + 1

y = 6 ( 0 ) + 1

so then y = 1

HOPE THIS HELPS!!

8 0

3 years ago

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