Which table idenifes points on the line defined by the equation y=3x+1?

WhichGiven that f(x) = x² + 5x, evaluate f(-2). of the following is equal to ?

Andrew [12]

F(x)= x²+5x
f(x)= -2²+5(-2)
f(x)= 4-10
f(x)= -6
I hope I helped you :)

4 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

Х Area of trapezoids Find the area. 6 cm 3 cm 3 cm square centimeters

rodikova [14]

Answer:

13.5 this is the awnser hope it helps

6 0

2 years ago

Alex needs to catch a train. The train arrives randomly some time between and , waits for minutes, and then leaves. If Alex also

8_murik_8 [283]

The probability that the train will be there when Alex arrives is 0.1.

Given that the time that train arrives between 1:00 P.M to 2:00 P.M. and waits for 10 minutes. Alex arrives between 1:00 P.M to 2:00 P.M.

We are required to find the probability that the train when Alex arrives.

Probability is the likeliness of happening an event among all the events that are possible to happen.

Probability=Number of items/total number of items.

Number of combinations of timings in which the train may have arrived=60/10=6 combinations

Number of ways in which Alex arrives at the station=60.

Probability=6/60

=1/10

=0.1

Hence the probability that the train will be there when Alex arrives ie 0.1.

Question is incomplete. The following things should be included:

Timing in which train arrives is between 1:00 P.M and 2:00 P.M.The train waits for 10 minutes. Alex arrives between 1:00 P.M and 2:00 P.M.

Learn more about probability at brainly.com/question/24756209

#SPJ4

4 0

1 year ago

Multiply. Write in simplest form. Help pls!! Tell me the answer no decimals needed just a fraction and simplified!! 2 3/5 x 3 7/

Lady bird [3.3K]

Answer:

10 3/40

Step-by-step explanation: hope i helped

7 0

3 years ago