All categories

2 years ago

Which equation represents a proportional relationship? y = 3x y=2(x+1/3) y=−3x+2 y=12x

Mathematics

2 answers:

solniwko [45]2 years ago

7 0

Answer:

two equations

y=3x

and y=12x

are proportional relation ship equations

Step-by-step explanation:

proportion equations can be defined as

if we change x the y will change in same proportion

proportional relationship equation contain (0,0) points

if we put x=o

this will give us

y=0

if we put x=0

in y=12x

it will give

y=0

put if we put x=0 in

y=3x

it will give us

y=0

hence these two equation represent proportional relationship.

madreJ [45]2 years ago

6 0

The equation y = 3x and y = 12x <span>represents a proportional relationship.
Because i</span>n a proportional relationship, the graph should pass the 0,0 coordinate.
It means if you put x=0 to the equation, the result would be y=0. The graph will go in format of y=mx and if we put x = 0 in both equations we get y = 0
and in other two equations if you put x = 0 you will not get y = 0.

You might be interested in

How long would it take me to earn$139.50 of interest at a 6% interest rate if I started with$930.00

Triss [41]

6% of 930 is 55.8

139.50 / 55.8 = 2.5

I will take two and a half years

8 0

2 years ago

Please help. Will give brainliest.

evablogger [386]

Alright, so you have the basic formula- good.
You have the A value (400), the interest rate r (7.5% -> .075 in decimal), and the final P value (8500). So, we only need to solve for t.

8500 = (400)(1+.075)^t
/400 /400
21.25 = 1.075^t
logarithms are the inverse of exponents, basically, if you have an example like
y = b^x, then a logarithm inverts it, logy(baseb)=x
Makes sense if you consider a power of ten.
1000 = 10^3
if you put logbase10(1000), you'll get 3.
Anyways, though, to solve the problem make a log with a base of 1.075 in your calculator
log21.25(base 1.075) = t
also, because of rules of change of base (might want to look this up to clarify), you can write this as log(21.25)/log(1.075) = t
Thus, t is 42.26118551.
Rounded to hundredths, t=42.26

6 0

2 years ago

A random sample of 850 births included 434 boys. Use a 0.10 significance level to test the claim that 51.5% of newborn babies a

Molodets [167]

Answer:

Null hypothesis: H0: p = 0.515

Alternative hypothesis: Ha ≠ 0.515

z = -0.257

P value = P(Z<-0.257) = 0.797

Decision; we fail to reject the null hypothesis. That is, the results support the belief that 51.5% of newborn babies are boys

Rule

If;

P-value > significance level --- accept Null hypothesis

P-value < significance level --- reject Null hypothesis

Z score > Z(at 90% confidence interval) ---- reject Null hypothesis

Z score < Z(at 90% confidence interval) ------ accept Null hypothesis

Step-by-step explanation:

The null hypothesis (H0) tries to show that no significant variation exists between variables or that a single variable is no different than its mean. While an alternative Hypothesis (Ha) attempt to prove that a new theory is true rather than the old one. That a variable is significantly different from the mean.

For the case above;

Null hypothesis: H0: p = 0.515

Alternative hypothesis: Ha ≠ 0.515

Given;

n=850 represent the random sample taken

Test statistic z score can be calculated with the formula below;

z = (p^−po)/√{po(1−po)/n}

Where,

z= Test statistics

n = Sample size = 850

po = Null hypothesized value = 0.515

p^ = Observed proportion = 434/850 = 0.5106

Substituting the values we have

z = (0.5106-0.515)/√(0.515(1-0.515)/850)

z = −0.256677

z = −0.257

To determine the p value (test statistic) at 0.10 significance level, using a two tailed hypothesis.

P value = P(Z<-0.257) = 0.797

Since z at 0.10 significance level is between -1.645 and +1.645 and the z score for the test (z = -0.257) which falls with the region bounded by Z at 0.10 significance level. And also the one-tailed hypothesis P-value is 0.797 which is greater than 0.10. Then we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can say that at 10% significance level the null hypothesis is valid.

5 0

3 years ago

Payday loans are very short-term loans that charge very high interest rates. You can borrow $500 today and repay $575 in two wee

Artyom0805 [142]

Answer:

3685.7%

Step-by-step explanation:

Please don't get mad if it's wrong.

8 0

2 years ago

Read 2 more answers

Use rounding to estimate the product