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3 years ago

Please help me and I will thank you

Mathematics

1 answer:

uysha [10]3 years ago

6 0

The value a = 4 will always yield a correct answer.

We know this by solving for a. If we do this, we will get the number needed.

a(x + 3) < 5x + 15 - x -----> simplify like terms

a(x + 3) < 4x + 15 -----> divide by x + 3

a < 4 + 3/(x + 3)

Since a is less than 4 plus a number, we know that a will always be less than 4. So we can use 4 as the number for all real solution.

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the perimeter of a right angled triangle is 60 cm and its area is 120cm².find the lengths of the triangle.

vredina [299]

Step-by-step explanation:

The area of triangle given as 120 cm2

Area of Triangle = 1/2 x b x h = 120

therefore bxh = 240

240 can be factorized as 10 x 24

The perimeter of the triangle is given as 60

so the other side has to be 26 cm

As this is a right angle triangle it should satisfy pythagoras theorem

(10)2 + (24)2 = (26)2

100+576 =676

Hence the sides of the triangle are 10 cm, 24 cm and 26 cm

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Kentaro can type 48 words per minute. At this rate, how many words can he type in half an hour? A. 24 B. 96 C. 1440 D. 2880

zhuklara [117]

2880 words per minute

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3 years ago

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Which of the following is a solution for the absolute value inequality |2x – 3| > 6?

Mice21 [21]

This breaks into two inequalities:

2x - 3 > 6

and

-2x + 3 > 6

------------------------

2x - 3 > 6

Add 3 to both sides:

2x > 9

Divide 2 to both sides:

x > 4.5

-----------------------

-2x + 3 > 6

Subtract 3 to both sides:

-2x > 3

Divide -2 to both sides:

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Last year, a soft drink manufacturer had 22% of the market. In order to increase their portion of the market, the manufacturer h

N76 [4]

Answer:

Critical value zc = 1.6449.

As the test statistic z=1.3881 is smaller than the critical value zc=1.6449, it falls in the acceptance region and the null hypothesis is failed to be rejected.

Step-by-step explanation:

This is a hypothesis test for a proportion.

The claim is that more than 22% of the population will like the new soft drink.

Then, the null and alternative hypothesis are:

$H_0: \pi=0.22\\\\H_a:\pi>0.22\\$

The significance level is 0.05.

The sample has a size n=400.

The sample proportion is p=0.25.

$p=X/n=100/400=0.25$

The standard error of the proportion is:

$\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.22*0.78}{400}}\\\\\\ \sigma_p=\sqrt{0.000429}=0.0207$

Then, we can calculate the z-statistic as:

$z=\dfrac{p-\pi-0.5/n}{\sigma_p}=\dfrac{0.25-0.22-0.5/400}{0.0207}=\dfrac{0.0288}{0.0207}=1.3881$

As this is a right-tailed test, there is only one critical value and it is, for a significance level of 0.05, zc=1.6449.

As the test statistic z=1.3881 is smaller than the critical value zc=1.6449, it falls in the acceptance region and the null hypothesis is failed to be rejected.

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lawyer [7]

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