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3 years ago

5.7 is increased to 7.8 What is the percentage of increase?

Mathematics

2 answers:

erastova [34]3 years ago

7 0

Answer:

The percentage of increase is 37%

Step-by-step explanation:

The way to find the percentage of increase is to divide The difference between the two numbers by the number before the increase

7.8 - 5.7 = 2.1

The difference between 7.8 and 5.7 is 2.1

So now we divided 2.1 by the number before the increase, in this case, 5.7

2.1 ÷ 5.7 = 0.3684

0.3684 rounded to the nearest hundredth is 0.37

Thus the percentage of increase is 37%

Naddika [18.5K]3 years ago

5 0

Answer:

7.8%

Step-by-step explanation:

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Which is the equation of a hyperbola with directrices at x = ±3 and foci at (4, 0) and (−4, 0)?

Alex Ar [27]

Answer:

$\frac{x^2}{12}-\frac{y^2}{4}=1$

Step-by-step explanation:

Since our foci are located on the x-axis, then our major axis is going to be the horizontal transverse axis of the hyperbola:

Formula for hyperbola with horizontal transverse axis centered at origin

$\frac{x^2}{a^2}-\frac{y^2}{b^2}=1$
Directrices -> $x=\pm\frac{a^2}{c}$
Foci -> $(\pm c,0)$ where $a^2+b^2=c^2$
$a>b$

Since we are given our directrices of $x=\pm3$ and foci of $(\pm4,0)$ , then we can set up the directrices equation to solve for $a^2$ :

$x=\pm\frac{a^2}{c}\\ \\\pm3=\pm\frac{a^2}{4}\\ \\12=a^2$

Now we can determine $b^2$ to complete our equation for the hyperbola:

$a^2+b^2=c^2\\\\12+b^2=4^2\\\\12+b^2=16\\\\b^2=4$

Therefore, our equation for our hyperbola is $\frac{x^2}{12}-\frac{y^2}{4}=1$

5 0

2 years ago

Which division problem is equivalent to 25?

meriva

They all add up to 2.5 maybe u have to simplify?

4 0

3 years ago

I need help on this problem can someone help -8 (y - 86) = -48

exis [7]

Answer:

y=92

Step-by-step explanation:

Divided both sides by the numeric factor on the left side, then solve.

y = 92

6 0

3 years ago

Social media is popular around the world. Statista provides estimate of the number of social media users in various countries in

amm1812

Answer:

Kindly check explanation

Step-by-step explanation:

The data table :

Use of SM _UK _China _ Russia _US _ col total

Yes ______480 __215 ___343 __640 _ 1678

No _______320 _ 285 ___357__ 360 _ 1322

Row Total__ 800 _500 __ 700_ 1000_ 3000

H0 : p1 = p2 = p3 = p4

H1 : p1 ≠ p2 ≠ p3 ≠ p4

Test statistic :

χ² = Σ(observed - Expected)² / Expected

Expected value of each cell = (Row total * column total) / N

N = grand total

Expected Values:

447.467 _279.667 _ 391.533 _ 559.333

352.533 _ 220.333 _ 308.467 _ 440.667

χ²=(2.36536+14.9527+6.01605+11.6337+3.00232 18.9793+7.63611+14.7665) = 79.352

Degree of freedom, df = (row-1)*(column-1) = (2 - 1) * (4 - 1) = 1 * 3 = 3

Using the Pvalue from Chisquare calculator :

Pvalue(79.352, 3) = 0.00000000001

Decision region :

Reject H0 ; If Pvalue < α

α = 0.05

Since 0.000000001 < 0.05 ; Reject H0 and conclude that not all population proportion are equal.

Sample proportion :

Phat = number of yes, x / total

For UK, Phat = 480/800 = 0.6

For China , Phat = 215/500 = 0.43

For Russia , Phat = 343/700 = 0.49

For US, Phat = 640/1000 = 0.64

7 0

3 years ago

How do you solve m+5n=p for m

WITCHER [35]

Answer:

my apologize for dont really understand the question! but this is what i got

m=p-5n or m=-5n+p

8 0

3 years ago

Read 2 more answers