All categories

3 years ago

9x^2 and 5x are like terms. True False

Mathematics

2 answers:

kobusy [5.1K]3 years ago

7 0

False.

Hopefully that helps. :)

madam [21]3 years ago

4 0

The answer to this question is b or false

You might be interested in

What is R? i=v/R What is ec? i=ec/3

Juliette [100K]

R would be iv because you have to do cross multiplication.

ec would be 3 because you have to do cross multiplication.

6 0

4 years ago

What can 23/40 be simplified by?

kicyunya [14]

23/40 can't be simplified as it has no common factors

8 0

4 years ago

Given right triangle ABC with right angle at C, find sin A if a=8 and b=15

Svetllana [295]

Answer:

if you are lookng for C it is 17

Step-by-step explanation:

7 0

3 years ago

An arithmetic sequence has this recursive formula: (a^1 =8, a^n= a^n-1 -6

eduard

Answer:

$a_n = 8 + (n - 1) (-6)$

Step-by-step explanation:

Given

$a_1 = 8$

Recursive: $a_{n} = a_{n-1} - 6$

Required

Determine the formula

Substitute 2 for n to determine $a_2$

$a_{2} = a_{2-1} - 6$

$a_{2} = a_{1} - 6$

Substitute $a_1 = 8$

$a_2 = 8 - 6$

$a_2 = 2$

Next is to determine the common difference, d;

$d = a_2 - a_1$

$d = 2 - 8$

$d = -6$

The nth term of an arithmetic sequence is calculated as

$a_n = a_1 + (n - 1)d$

Substitute $a_1 = 8$ and $d = -6$

$a_n = a_1 + (n - 1)d$

$a_n = 8 + (n - 1) (-6)$

Hence, the nth term of the sequence can be calculated using $a_n = 8 + (n - 1) (-6)$

3 0

3 years ago

When a survey asked subjects whether they would be willing to accept cuts in their standard of living to protect the environmen

gtnhenbr [62]

Answer:

(a) The point estimate of the proportion of the population who would answer yes is 0.295.

(b) The margin of error for a 95% confidence interval is 0.0259.

(c) 95% confidence interval for population proportion is [0.2691 , 0.3209].

Step-by-step explanation:

We are given that a survey asked subjects whether they would be willing to accept cuts in their standard of living to protect the environment, 352 of 1195 subjects said yes.

Let $\hat p$ = sample proportion of subjects who said yes.

(a) The point estimate of the proportion of the population who would answer yes = $\hat p$ = $\frac{X}{n}$

So, $\hat p = \frac{352}{1195}$ = 0.295

(b) Margin of error is given by = $Z_(_\frac{\alpha}{2}_) \times \text{Standard of Error}$

where, $\alpha$ = level of significance = 1 - 0.95 = 5%

At 5% level of significance, z table gives critical value of 1.96 for two-sided interval.

Standard of error = $\sqrt{\frac{\hat p(1-\hat p)}{n} }$ = $\sqrt{\frac{0.295(1-0.295)}{1195} }$ = 0.0132

So, Margin of error for 95% confidence interval = $1.96 \times 0.0132$

= 0.0259

(c) 95% confidence interval for population proportion is given by =

Point estimate $\pm$ Margin of error

⇒ 0.295 $\pm$ 0.0259

⇒ [0.295 - 0.0259 , 0.295 + 0.0259]

⇒ [0.2691 , 0.3209]

So, 95% confidence interval = [0.2691 , 0.3209]

The numbers in this interval represent that we are 95% confident that the population proportion will lie between 0.2691 and 0.3209.

(d) Assumptions needed for constructing a confidence interval are;

The data must be sampled randomly.
Sample values must be independent of each other.
Data must follow normal distribution.

8 0

3 years ago