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3 years ago

What single decimal multiplier would you use to decrease by 18% followed by a 19% increase?

Mathematics

1 answer:

g100num [7]3 years ago

5 0

Answer:

26%

Step-by-step explanation:

You use to increase by 5% followed by 20% increase. Hence, the single decimal multiplier is 26%.

You might be interested in

If an employer reduces the working week from 40 hours to 35 hours, with no

tangare [24]

Answer:

14.285714285714 %

Step-by-step explanation:

suppose the weekly payment is of x dollars

Then

Previous payment : $(x/40) per hour

New payment : $(x/35) per hour

Then

The percentage increase in the hourly rate of pay is :

$=\frac{\frac{x}{35} -\frac{x}{40} }{\frac{x}{40} } \times100$

$=\frac{\frac{5x}{1400} }{\frac{x}{40} } \times100$

$=\frac{5x}{1400} \times \frac{40}{x} \times100$

$=\frac{200}{1400} \times100$

$=\frac{1}{7} \times100$

$=14.285714285714$

6 0

2 years ago

The domain of a composite function (fog)(x) is the set of those inputs x in the domain of g for which g(x) is in the domain of f

Gelneren [198K]

True, the correct answer is true.

4 0

2 years ago

Do political science classes require less writing than history classes? The 55 randomly selected political science classes assig

tia_tia [17]

Answer:

No, political science classes does not require less writing than history classes.

Step-by-step explanation:

We are given that the 55 randomly selected political science classes assigned an average of 19.6 pages of essay writing for the course. The standard deviation for these 55 classes was 4.8 pages.

The 50 randomly selected history classes assigned an average of 20.2 pages of essay writing for the course. The standard deviation for these 50 classes was 3.3 pages.

Let $\mu_1$ = mean writing required by political science classes

$\mu_2$ = mean writing required by history classes

SO, Null Hypothesis, $H_0$ : $\mu_1-\mu_2\geq0$ or $\mu_1\geq \mu_2$ {means that political science classes require more or equal writing than history classes}

Alternate Hypothesis, $H_A$ : $\mu_1-\mu_2$ or $\mu_1$ {means that political science classes require less writing than history classes}

The test statistics that will be used here is Two-sample t test statistics as we don't know about the population standard deviations;

T.S. = $\frac{(\bar X_1-\bar X_2)-(\mu_1-\mu_2)}{s_p\sqrt{\frac{1}{n_1}+\frac{1}{n_2} } }$ ~ $t__n__1+_n__2-2$

where, $\bar X_1$ = sample average writing for political science course= 19.6 pages

$\bar X_2$ = sample average writing for history course= 20.2 pages

$s_1$ = sample standard deviation for political science classes = 4.8 pages

$s_2$ = sample standard deviation for history classes = 3.3 pages

$n_1$ = sample of selected political science classes = 55

$n_2$ = sample of selected history classes = 50

Also, $s_p=\sqrt{\frac{(n_1-1)s_1^{2}+(n_2-1)s_2^{2} }{n_1+n_2-2} }$ = $\sqrt{\frac{(55-1)\times 4.8^{2}+(50-1)\times 3.3^{2} }{55+50-2} }$ = 4.154

So, the test statistics = $\frac{(19.6-20.2)-(0)}{4.154 \times \sqrt{\frac{1}{55}+\frac{1}{50} } }$ ~ $t_1_0_3$

= -0.739

Now at 0.01 significance level, the t table gives critical value of -2.367 at 103 degree of freedom for left-tailed test. Since our test statistics is more than the critical value of t as -0.739 > -2.367, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that political science classes require more or equal writing than history classes.

8 0

3 years ago

The price of an item has been reduced by 65% . The original price was $49

Basile [38]

Hey there!

To find the discount, just multiply the original price by the percent.

49*.65= 31.85(how much it was taken off)

Now subtract31.85 from 49 and you'll get
17.15

$17.15 is now the new price

4 0

3 years ago

Read 2 more answers

Help ASAP DUE IN 26 MINUTES PLEASE I BEG YOU !!! 7 & 8please!

Lynna [10]

This is question #8. First what you do is turn all the denominators to 8, and them you just add, so it's 3.5 in decimal, and 3 4/8 in mixed fraction, and if you simplify that you get 3 1/2 as your fraction, and if you want that as improper fraction you get 28/8. And for #7 there must be a diagram, can you show me that, maybe I can help.

3 0

3 years ago