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4 years ago

Simplify f(x)=(x+1)(x-3) to standard form

Mathematics

1 answer:

Ivahew [28]4 years ago

4 0

Answer:

x^2-2x-3

Explanation: Use FOIL

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0.134 in expanded form

Sav [38]

.100 + .03 + .004 I believe

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3 years ago

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For an independent t-test, if the mean of group 1=10, mean of group 2=12, ss1 =5, ss2=8, there are 6 individuals per group. what

eimsori [14]

The value of t obtained is 4.76

Given,

Mean of group 1, $M_{1}$ = 10

Mean of group 2, $M_{2}$ = 12

$SS_{1}$ = 5

$SS_{2}$ = 8

Number of individuals per group, n = 6

The degrees of freedom are calculated as:

$df = (n_{1} -1)+(n_{2} -1)$ = ( 8-1) + (8-1) = 7 + 7 = 14

The difference between sample means $M_{d}$ is:

$M_{d}$ = $M_{1} -M_{2}$ = 10 - 12 = 2

Here n is equal for both groups which is = 8

Now,

The standard deviation of sample 1 :

$s_{1} =\sqrt{\frac{SS_{1} }{n_{1} -1} } = \sqrt{\frac{5}{8-1} } = \sqrt{\frac{5}{7} } = 0.85$

The standard deviation of sample 2 :

$s_{2}= \sqrt{\frac{SS_{2} }{n_{2}-1 } } = \sqrt{\frac{8}{8-1} } = \sqrt{\frac{8}{7} } = 1.07$

Now, we have to calculate the standard error for the difference of the means.

MSE = $\frac{(n_{1}-1)s^{2} _{1}+(n_{2}-1)s^{2} _{2} }{(n_{1}-1)+(n_{2}-1) }$

= $\frac{(8-1)(0.85^{2})+(8-1)(1.07^{2}) }{(8-1)+(8-1)}$

= $\frac{10.1318}{14}$

MSE = 0.7237

Then, the standard error can be calculated as:

$s_{M_{d} } = \sqrt{\frac{2MSE}{n} } = \sqrt{\frac{2 * 0.7237}{8} } = 0.42$

Now we can calculate t :

$t=\frac{M_{d} }{s_{M_{d} } } = \frac{2}{0.42} = 4.76$

Learn more about standard deviation here : brainly.com/question/16403666

#SPJ4

7 0

2 years ago

Rachel works at a store that sells clothing accessories. The supply function

Andreas93 [3]

Answer: C

Step-by-step explanation:

5=Q-11

(Add 11 to both sides)

16=Q

4 0

3 years ago

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What is the value of x in the product of powers below? 6^9 6^x=6^2 -11 -7 11 7

Elodia [21]

Answer:

x = - 7

Step-by-step explanation:

Using the rule of exponents

$a^{m}$ × $a^{n}$ = $a^{(m+n)}$

Given

$6^{9}$ × $6^{x}$ = 6², then

$6^{(9+x)}$ = 6²

Since the bases on both sides are equal then equate the exponents

9 + x = 2 ( subtract 9 from both sides )

x = - 7

8 0

4 years ago

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Can you help me solve this?

Natalka [10]

Answer:

first one is rational, second is also rational, third is rational, fourth is rational, and fifth is irrational.

Step-by-step explanation:

Rational numbers are numbers that can be expressed as a fraction or part of a whole number. (examples: -7, 2/3, 3.75) Irrational numbers are numbers that cannot be expressed as a fraction or ratio of two integers. The reason why $\sqrt{12}$ is an irrational number is bc it's not a perfect square while $\sqrt{49}$ equals to 7 and is a perfect square.

6 0

3 years ago

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