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2 years ago

25(x+5\4)^2-16(x7\4)^2 factorize the expression

Mathematics

1 answer:

elena-s [515]2 years ago

4 0

Since both terms are perfect squares, factor using the difference of squares formula,

a² − b² = (a + b) (a − b) where a = 5(x + 5/4) and b = 4 (x (7/4) ).

− (12x + 25/4) (2x + −25/4)

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In the past decades there have been intensive antismoking campaigns sponsored by both federal and private agencies. In one study

astra-53 [7]

Answer:

C. z = 2.05

Step-by-step explanation:

We have to calculate the test statistic for a test for the diference between proportions.

The sample 1 (year 1995), of size n1=4276 has a proportion of p1=0.384.

$p_1=X_1/n_1=1642/4276=0.384$

The sample 2 (year 2010), of size n2=3908 has a proportion of p2=0.3621.

$p_2=X_2/n_2=1415/3908=0.3621$

The difference between proportions is (p1-p2)=0.0219.

$p_d=p_1-p_2=0.384-0.3621=0.0219$

The pooled proportion, needed to calculate the standard error, is:

$p=\dfrac{X_1+X_2}{n_1+n_2}=\dfrac{1642+1415}{4276+3908}=\dfrac{3057}{8184}=0.3735$

The estimated standard error of the difference between means is computed using the formula:

$s_{p1-p2}=\sqrt{\dfrac{p(1-p)}{n_1}+\dfrac{p(1-p)}{n_2}}=\sqrt{\dfrac{0.3735*0.6265}{4276}+\dfrac{0.3735*0.6265}{3908}}\\\\\\s_{p1-p2}=\sqrt{0.00005+0.00006}=\sqrt{0.00011}=0.0107$

Then, we can calculate the z-statistic as:

$z=\dfrac{p_d-(\pi_1-\pi_2)}{s_{p1-p2}}=\dfrac{0.0219-0}{0.0107}=\dfrac{0.0219}{0.0107}=2.05$

z=2.05

4 0

2 years ago

Explain how you would find 45 x 7/9 mentally

Artemon [7]

45*7/9

cross out 45 and 9

divide by 9

45/9=5

9/9=1

5*1*7

=587

=35

answer:

8 0

2 years ago

A chemist would like to dilute a 90-cc solution that is 5% acid to one that is 3% acid. How much water must be added to accompli

Verizon [17]

Answer:

The amount of water must be added to this task = 60 $cm^{3}$

Step-by-step explanation:

Let amount of water added = x $cm^{3}$

Then from the given conditions

A chemist would like to dilute a 90-cc solution that is 5% acid to one that is 3% acid. So

90 (0.05) = 0.03 ( 90 + x )

4.5 = 2.7 + 0.03 x

0.03 x = 1.8

x = 60 $cm^{3}$

Therefore the amount of water must be added to this task = 60 $cm^{3}$

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2 years ago

mary works for a commission of 12% on all goods she sell for the month if her basic salary is 3000 per month and she sells $2500

SOVA2 [1]

Answer:

3300

Step-by-step explanation:

Formula

Gross Salary = Basic + Commission

Givens

Basic = 3000

% = 12%

Solution

Gross = 3000 + 12/100 * 2500

Gross = 3000 + 30000/100

Gross = 3000 + 300

Gross = 3300

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2 years ago

A bag contains 6 blue counters and 4 red counters. I take two counters out at random. My

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Answer:

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6 0

2 years ago

25(x+5\4)^2-16(x7\4)^2 factorize the expression​

25(x+5\4)^2-16(x7\4)^2 factorize the expression