Evaluate the function F(x)=3x^2+5x-14

The length of a rectangle is 4 cm less than twice its width. The perimeter of the

myrzilka [38]

Step-by-step explanation:

Let width be x

according to question

length = 2x-4

perimeter = 58

now,

perimeter = 2(length + width)

58 = 2(x+2x-4)

58 = 6x-8

6x = 66

x = 11

putting value of x in length

2x-4

= 2 X 11 -5

= 18

hence the dimensions of the rectangle is 18 and 11

4 0

3 years ago

PLEASE HELP WILL GIVE BRAINLIEST TO CORRECT ANSWER

ioda

Answer:

Step-by-step explanation:

h(x) = 7 - x - 2x^5

h(-1) = 7 + 1 - 2(-1)^5

h(-1) = 7 + 1 + 2

h(-1) = 10

Now differentiate h(x)

h'(x) = -1 - 2*5*x^4

h'(x) = -1 - 10x^4

h'(x) = -1 - 10(x)^4

h'(x) = -1 - 10 (x)^4

h'(-1) = -1 - 10(10000)

h'(-1) = -1 - 100000

h'(-1) = - 99999

3 0

3 years ago

Which transformation will be equivalent to rotating a figure 270° counterclockwise? A) reflecting over the x-axis and the y-axis

bagirrra123 [75]

Reflection over the y-axis:
(x, y) ⇒ (-x, y)

Reflection of that over the line y = x:
(-x, y) ⇒ (y, -x)

Rotation counterclockwise by 270°:
(x, y) ⇒ (y, -x) . . . . . . equivalent to reflection over y, then over y=x.

The appropriate choice is ...
C) Reflecting over the y-axis and then reflecting over the line y = x.

5 0

4 years ago

Read 2 more answers

The rule for a pattern is ''take half the number to get the next number.'' the first number in the pattern is 16 what is the nex

vfiekz [6]

Answer:

8

Step-by-step explanation:

Let the next number be x

'taking half the number to get the next number. is expressed as;

1/2 of 16 = x

x = 1/2 *16

x = 16/2

x = 8

hence the next number will be 8

7 0

3 years ago

A random sample of 100 people was taken. Eighty-five of the people in the sample favored Candidate A. We are interested in deter

lbvjy [14]

Answer:

$z=\frac{0.85 -0.8}{\sqrt{\frac{0.8(1-0.8)}{100}}}=1.25$

$p_v =P(z>1.25)=0.106$

If we compare the p value obtained and the significance level given $\alpha=0.05$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion of people who favored candidate A is not significalty higher than 0.8

ii) not significantly greater than 80%

Step-by-step explanation:

Data given and notation

n=100 represent the random sample taken

$\hat p=0.85$ estimated proportion of people who favored candidate A

$p_o=0.8$ is the value that we want to test

$\alpha=0.05$ represent the significance level

Confidence=95% or 0.95

z would represent the statistic (variable of interest)

$p_v$ represent the p value (variable of interest)

Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that the true proportion is higher than 0.8.:

Null hypothesis: $p\leq 0.8$

Alternative hypothesis: $p > 0.8$

When we conduct a proportion test we need to use the z statistic, and the is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value $p_o$ .

Calculate the statistic

Since we have all the info requires we can replace in formula (1) like this:

$z=\frac{0.85 -0.8}{\sqrt{\frac{0.8(1-0.8)}{100}}}=1.25$

Statistical decision

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.

The significance level provided $\alpha=0.05$ . The next step would be calculate the p value for this test.

Since is a right tailed test the p value would be:

$p_v =P(z>1.25)=0.106$

If we compare the p value obtained and the significance level given $\alpha=0.05$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion of people who favored candidate A is not significalty higher than 0.8

ii) not significantly greater than 80%

8 0

3 years ago