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4 years ago

Solve for x, graph and place into interval notation 3(x+2)-6> -2(x-3)+14

Mathematics

1 answer:

mart [117]4 years ago

4 0

Make Sure you distribute first, then go from there

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You are testing the claim that the proportion of men who own cats is significantly different than the proportion of women who ow

Nadya [2.5K]

Answer:

Test statistic =1.30

Step-by-step explanation:

Given that you are testing the claim that the proportion of men who own cats is significantly different than the proportion of women who own cats.

Men Women Difference

Sample size n 60 120

Proportion p_1, p_2 0.45 0.35 0.10

60 120 180

0.45 0.35 0.383333333

27 42 69

p = 0.3833

Std error for proportion difference = $\bar p (1-\bar p)(\frac{1}{n_1}+\frac{1}{n_2})\\=0.3833(0.6167)(\frac{1}{60}+\frac{1}{120})\\=0.0769$

Test statistic = $\frac{p_1-p_2}{\bar p (1-\bar p)(\frac{1}{n_1}+\frac{1}{n_2}) }$

= $1.3008$

=1.30

4 0

3 years ago

What are the restrictions for a? 2a^2+a-15/5a^2+16a+3

koban [17]

ANSWER

The restrictions are

$a\ne -3,a\ne -\frac{1}{5}$

EXPLANATION

We were given the rational function,

$\frac{2a^2+a-15}{5a^2+16a+3}$

The function is defined for all values of a, except

$5a^2+16a+3=0$

This has become a quadratic trinomial, so we need to split the middle term.

We do that by multiplying the coefficient of $x^2$ which is 5 by the constant term which is 3. This gives us 15.

The factors of 15 that adds up to 16 are 1 and 15.

We use these factors to split the middle term.

$5a^2+15a+a+3=0$

We now factor to get,

$5a(a+3)+1(a+3)=0$

We factor further to get,

$(a+3)(5a+1)=0$

This implies that,

$(a+3)=0,(5a+1)=0$

This gives

$a=-3,a=-\frac{1}{5}$

These are the restrictions.

8 0

4 years ago

The length and breadth of a rectangle are in the ratio 4:3. Its area is 300sq.cm. Find its length and breadth.

ziro4ka [17]

Step-by-step explanation:

4:3

4+3=7

4x + 3x= 7x

7x is the total sq.cm which is 300

7x= 300

x= 300/7

= 42.8

length= 4x

= 4 × 42.8

= 171.42

breadth= 3x

= 3 × 42.8

= 128.4

4 0

2 years ago

What is the sale price of $160 airpods with an 18% discount?

Ahat [919]

Answer:

$131.20

Step-by-step explanation:

$160 is the full price, so it is 100% of the full price.

With a discount of 18%, you pay 100% - 18% = 82% of the full price.

82% of $160 =

= 0.82 * $160

= $131.20

Answer: $131.20

7 0

3 years ago

14) 8 people from a group of 15<br> O a.) 5435<br> Ob.) 6345<br> O c.) 6435<br> Od.) 6543

musickatia [10]

Answer: 6435

Step-by-step explanation:

$\binom{15}{8}=6435$

8 0

2 years ago