I need in a linear equation please i need help

when you subtract one negative integer from another will your answer be greater than or less than integer you started with? Expl

pshichka [43]

Lets take (-4) - (-6)
= -4 + 6 (here we changed the sign because in integers when you are subtracting an integer, we put its opposite..thats the rule .)
=. -4 + 6 = 2

so here we got the answer as 2 .....this shows that your answer will be less than the integer you started with ....this is because here in subtraction we will first change the sign and then follow the same rules of addition ...so here if both the numbers have opposite signs then we subtract and put the greater number sign .....

Hope i am right !!!

6 0

3 years ago

Express in simplified exponential notation. x3 • x5 =

Usimov [2.4K]

Answer:

x^8

Step-by-step explanation:

The applicable rule of exponents is ...

(x^a)(x^b) = x^(a+b)

Here you have ...

(x^3)(x^5) = x^(3+5) = x^8

8 0

3 years ago

A random sample of 50 recent college graduates results in a mean time to graduate of 4.58 years, with a standard deviation of 1.

Anna007 [38]

Answer:

The 90% confidence interval for the mean time to graduate with a bachelor’s degree is (4.32, 4.84).

Yes, this confidence interval contradict the belief that it takes 4 years to complete a bachelor’s degree.

Step-by-step explanation:

The (1 - α)% confidence interval for population mean μ, when the population standard deviation is not known is:

$CI=\bar x\pm t_{\alpha/2, (n-1)}\times \frac{s}{\sqrt{n}}$

The information provided is:

$\bar x=4.58\\s=1.10\\\alpha =0.10$

Compute the critical value of t for 90% confidence interval and (n - 1) degrees of freedom as follows:

$t_{\alpha/2, (n-1)}=t_{0.10/2, (50-1)}=t_{0.05, 49}=1.671$

*Use a t-table for the probability.

Compute the 90% confidence interval for population mean μ as follows:

$CI=\bar x\pm t_{\alpha/2, (n-1)}\times \frac{s}{\sqrt{n}}$

$=4.58\pm 1.671\times \frac{1.10}{\sqrt{50}}\\=4.58\pm 0.26\\=(4.32, 4.84)$

Thus, the 90% confidence interval for the mean time to graduate with a bachelor’s degree is (4.32, 4.84).

If a hypothesis test is conducted to determine whether it takes 4 years to complete a bachelor’s degree or not, the hypothesis will be:

Hₐ: The mean time it takes to complete a bachelor’s degree is 4 years, i.e. μ = 4.

Hₐ: The mean time it takes to complete a bachelor’s degree is different from 4 years, i.e. μ ≠ 4.

The decision rule based on a confidence interval will be:

Reject the null hypothesis if the null value is not included in the interval.

The 90% confidence interval for the mean time to graduate with a bachelor’s degree is (4.32 years, 4.84 years).

The null value, i.e. μ = 4 is not included in the interval.

The null hypothesis will be rejected at 10% level of significance.

Thus, it can be concluded that that time it takes to complete a bachelor’s degree is different from 4 years.

4 0

3 years ago

Write a trinomial expression that is equivalent to (2x+5)(3x-2)

Vikentia [17]

2x *3x =6x^2

2x*(-2)= -4x

5*3x=15x

5* (-2) =- 10

6x^2 -4x +15x -10

6x^2 + 11x -10

7 0

3 years ago

Which of the following uses the distributive property correctly?

Alekssandra [29.7K]

Answer:

3(×+5)=3 . x+5

Step-by-step explanation:

3(x+5)=3x+15

3 . x+5=3x+15

3 (x+5)=3 . x+5

5 0

3 years ago