Which graph represents x> 5?

To complete the square, how do you find the value that must be added to the expression to make a perfect square trinomial? What

Molodets [167]

Take half of the coefficient of x (which is 2/5) and square it:

[ (1/2)(2/5) ]^2 = (1/5)^2 = 1/25, or 0.04

Thus, to rewrite x^2 + (2/5)x to include a perfect square trinomial,

x^2 + (2/5)x = x^2 + (2/5)x + (1/5)^2 - (1/5)^2, or

(x+1/5)^2 - (1/5)^2, or (x + 1/5)^2 - 1/25

3 0

3 years ago

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Find the product. a^4(3a ^2 - 2a + 1)

Vikki [24]

a⁴(3a² - 2a + 1)

We just have to multiply each term inside the parentheses by a⁴ .

 a⁴(3a² ) = 3a⁶

 a⁴( - 2a ) = -2a⁵

 a⁴( 1) = a⁴

Now, just addum up : 3a⁶ - 2a⁵ + a⁴

7 0

3 years ago

A psychological experiment was conducted to investigate the length of time (time delay) between the administration of a stimulus

aleksklad [387]

Answer:

The P-value of this sample is 0 and is less than the significance level (0.05), so the effect is significant and the null hypothesis is rejected.

As there is significant evidence to reject $H_0: \mu= 1.6$ , we can say that there is significant evidence to claim that the mean time delay for the hypothetical population of all persons who may be subjected to the stimulus differs from 1.6 seconds.

The significance level for this test is 0.05.

Step-by-step explanation:

In this case, we want to prove if there is significant evidence that the mean differs from 1.6 seconds. That is the same as having evidence to reject the the hypothesis $H_0:\mu= 1.6$ (the null hypothesis always have the equal sign).

We have to test the null hypothesis

$H_0:\mu= 1.6$

The significance level for this test is 0.05

Calculation of the t-statistic:

$t=\frac{M-\mu}{s/\sqrt{n}} =\frac{2.2-1.6}{0.57/\sqrt{36}} =\frac{0.6}{0.063}= 9.47$

If we look up in a t-table for t=9.47 and df=(36-1)=35, we get this value appears with a probability of zero. A large number like that is very unlikely to happen.

The P-value of this sample is 0 and is less than the significance level (0.05), so the effect is significant and the null hypothesis is rejected.

As there is significant evidence to reject $H_0: \mu= 1.6$ , we can say that there is significant evidence to claim that the mean time delay for the hypothetical population of all persons who may be subjected to the stimulus differs from 1.6 seconds.

6 0

3 years ago

What is the area underneath a normal curve always equal to?

Pani-rosa [81]

The correct answer is C. One

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3 years ago

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What is the value of x?

Svetllana [295]

Answer:

x = 4

Step-by-step explanation:

ΔTRQ is an isosceles right triangle, so if we find the value of RT then the value of 'x' will be the same

We can find RT by creating a proportion based on the ratio of sides in a 30-60-90° triangle which, respectively, is 1 : $\sqrt{3}$ : 2

2 $\sqrt{3}$ /RT = $\sqrt{3}$ /2

cross-multiply:

$\sqrt{3}$ · RT = 4 $\sqrt{3}$

RT = 4

Therefore, x = 4

3 0

3 years ago