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3 years ago

What relation is a graph that is just a straight horizontal line, no slope or anything.

Mathematics

1 answer:

zubka84 [21]3 years ago

5 0

Answer: 0, Zero

Step-by-step explanation: all horizontal lines are of the form "y = some number", and the equation "y = some number" always graphs as a horizontal line.

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Simplify the given expressions. express all answers with positive exponents. b^2/3 b^1/2

mixas84 [53]

I am assuming 33 is B^(2/3) times B^(1/2)
See the following image

6 0

3 years ago

Whats 20 + 19 i need help

NikAS [45]

Answer:

Step-by-step explanation:

Just add

7 0

2 years ago

Nicole is 56 inches tall and has an 84 inch shadow. Julie is standing next to Nicole and has a 96 inch shadow. How tall is Julie

Natalka [10]

Answer:

56+12=68. 68 inches

Step-by-step explanation:

julie‘s shadow is 12 inches taller than Nicole’ so you would just add 12 to 56.

7 0

2 years ago

The plot below shows the graphs of three functions, f, g, and h, all of which determine the population of three different cities

monitta

So, here we have an exponential function.

Remember that an exponential function has the form:

$y=a(b)^x=a(1\pm\frac{r}{100})^x$

Where a represents an initial amount, and r is the rate of this amount to change. (Increase, or decrease).

So, given that the population of City A in 2000 was 40 thousand people and the population increased by 13% each year, we can say that

$\begin{gathered} a=40 \\ b=1+\frac{13}{100}=1.13 \end{gathered}$

So,

$f(x)=40(1.13)^x$

For city B:

$\begin{gathered} a=40 \\ b=1+\frac{16}{100}=1.16 \\ g(x)=40(1.16)^x \end{gathered}$

But something different happens with city C. This is not an exponential function, this is a linear function.

So,

$h(x)=40+10x$

7 0

10 months ago

Grades on a standardized test are known to have a mean of 1000 for students in the United States. The test is administered to 45

krok68 [10]

Answer:

The 95% confidence interval is $1003 < \mu$

Yes there is statistically significant evidence that students in Florida perform differently from other students in the United States

Step-by-step explanation:

From the question we are told that

The population mean is $\mu = 1000$

The sample size is $n = 453$

The sample mean is $\= x = 1013$

The standard deviation is $s = 108$

Given that the confidence level is 95% then the level of significance is mathematically represented as

$\alpha = 100 - 95$

=> $\alpha = 5\%$

=> $\alpha = 0.05$

The critical value for $\frac{\alpha }{2}$ obtained from the normal distribution table is

$Z_{\frac{\alpha }{2} } = 1.96$

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \frac{s}{\sqrt{n} }$

=> $E = 1.96 * \frac{108}{\sqrt{453} }$

=> $E = 9.946$

Generally the 95% confidence interval is mathematically represented as

$\= x - E < \mu < \= x + E$

=> $1013 - 9.946 < \mu < 1013 + 9.946$

=> $1003 < \mu$

Given that the population mean(1000) is not within the 95% confidence interval for l for the average test score for students in Florida, then it means that there is statistically significant evidence that students in Florida perform differently from other students in the United States

4 0

3 years ago