If f(x) = 4x + 12 is graphed on a coordinate plane, what is the y-intercept of the graph?

Tell if each equation represents exponential growth, exponential decay or neither.

scoray [572]

Answer:

Exponential growth A, B;

exponential decay C, E;

neither D.

Step-by-step explanation:

The function $y=a\cdot b^x$

represents exponential growth when $b>1;$
represents exponential decay when $0$

A. The equation $f(t)=\dfrac{2}{3}\cdot \left(\dfrac{7}{3}\right)^t$ represents exponential growth, because $\dfrac{7}{3}>1.$

B. The equation $P=22\cdot \left(1.76\right)^x$ represents exponential growth, because $1.76>1.$

C. The equation $V=\dfrac{1}{3}\cdot \left(0.45\right)^x$ represents exponential decay, because $0$

D. The equation $W=3.2\cdot (x)$ represents neither exponential growth nor exponential decay, because this function is linear.

E. The equation $g(x)=4.2\cdot \left(\dfrac{1}{3}\right)^x$ represents exponential decay, because $0$

3 0

3 years ago

Hector works 12 hours per week at a part-time job. His original pay rate was $8.00 per hour, but he recently received a raise of

ad-work [718]

Answer: A

Steps:
12(8+x)=126
96+ 8x=126
-96 -96
8x= 30
x=3.75

8 0

3 years ago

Read 2 more answers

What is 145.1% as a decimal?

maksim [4K]

145.1% as a decimal is 1.451

Hope this satisfies your query! Have a good one :)

8 0

2 years ago

What is the scientific notation for 10.6x10^-11?

Lina20 [59]

000000.0000000000106

3 0

2 years ago

A university interested in tracking its honors program believes that the proportion of graduates with a GPA of 3.00 or below is

stealth61 [152]

Answer:

a) On this case we are interested on the population proportion of students that have a GPA of 3.00 or below.

b) $z=\frac{0.15 -0.2}{\sqrt{\frac{0.2(1-0.2)}{200}}}=-1.77$

$p_v =P(z$

c) Null hypothesis: $p\geq 0.2$

Alternative hypothesis: $p$

d) The significance level provided is $\alpha=0.05$ . If we compare the p value obtained and the significance level given $\alpha=0.05$ we have $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the population proportion of students that have a GPA of 3.00 or below is significantly lower than 0.2.

Step-by-step explanation:

Data given and notation n

n=200 represent the random sample taken

X=30 represent the students with a GPA of 3.00 or below.

$\hat p=\frac{30}{200}=0.15$ estimated proportion of students with a GPA of 3.00 or below.

$p_o=0.2$ is the value that we want to test

$\alpha$ represent the significance level

z would represent the statistic (variable of interest)

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

a. In testing the university's belief, how does on define the population parameter of interest?

On this case we are interested on the population proportion of students that have a GPA of 3.00 or below.

Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that the proportion of graduates with GPA of 3.00 or below is less than 0.2.:

Null hypothesis: $p\geq 0.2$

Alternative hypothesis: $p$

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 $p_o$ .

b. The value of the test statistics and its associated p-value are?

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

$z=\frac{0.15 -0.2}{\sqrt{\frac{0.2(1-0.2)}{200}}}=-1.77$

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.

Since is a one left tailed test the p value would be:

$p_v =P(z$

c. In testing the university's belief, the appropriate hypothesis are?

Null hypothesis: $p\geq 0.2$

Alternative hypothesis: $p$

d. At a 5% significance level, the decision is to?

The significance level provided is $\alpha=0.05$ . If we compare the p value obtained and the significance level given $\alpha=0.05$ we have $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the population proportion of students that have a GPA of 3.00 or below is significantly lower than 0.2.

5 0

3 years ago