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2 years ago

In which quadrant does the point (13, 18) lie

Mathematics

1 answer:

Dahasolnce [82]2 years ago

8 0

Answer:

Quadrant 1

Step-by-step explanation:

how I understood this is first understanding how a graph works. Once you understand that you can count 13 horizontal on the "X" Axis, then go 18 up on the "Y" axis. you should get a point in the upper left area and that area is called Quadrant 1. Say if 13 was negative instead of going horizontal east you would go horizontal west. And the point should end up in Quadrant 2. Any more questions feel free to ask me below.

You might be interested in

Write each ratio statement as a fraction and reduce to lowest terms if possible:

qwelly [4]

The answers are:

18 to 24 = $\frac{18}{24} = \frac{3}{4}$

5 to 15 = $\frac{5}{15} = \frac{1}{3}$

14:42 = $\frac{14}{42} = \frac{1}{3}$

15 cents to 18 cents = $\frac{15}{18} = \frac{5}{6}$

Explanation:

To write a fraction using a ratio, simply use the first number as the numerator (top number), in this case, the numbers 18, 5, 14, and 15, and the second or biggest number as a denominator (bottom number), in this case, the numbers 24, 15, 42 and 18. This means the fractions are $\frac{18}{24}$ , $\frac{5}{15}$ , $\frac{14}{42}$ , and $\frac{15}{18}$ .

The second step is to reduce or simplify the fractions, which means the numbers in a fraction are divided by the same factor (a number that divides another without a remainder). Additionally, to do this, it is important to reduce the fraction to its minimum.

$\frac{18}{24}$ divide this by 6, which is equivalent to $\frac{3}{4}$

$\frac{5}{15}$ divide this by 5, which is equivalent to $\frac{1}{3}$

$\frac{14}{42}$ divide this by 14. which is equivalent to $\frac{1}{3}$

$\frac{15}{18}$ divide this by 3, which is equivalent to $\frac{5}{6}$

7 0

3 years ago

Brand name producers of aspirin claim that one advantage of their aspirin over generic aspirin is that brand name aspirin is muc

11Alexandr11 [23.1K]

Answer:

Step-by-step explanation:

The claim here is that the brand name aspirin is more consistent in the amount of active ingredient used than the generic aspirin.

This is a test of 2 independent groups. The population standard deviations are not known. Let μ1 be the mean amount of active ingredients in brand name aspirin and μ2 be the mean amount of active ingredients in generic name aspirin

The random variable is μ1 - μ2 = difference in the mean amount of active ingredients between the brand name and generic aspirin

We would set up the hypothesis.

The null hypothesis is

H0 : μ1 ≥ μ2 H0 : μ1 - μ2 ≥ 0

The alternative hypothesis is

H1 : μ1 < μ2 H1 : μ1 - μ2 < 0

This is a left tailed test

Since sample standard deviation is known, we would determine the test statistic by using the t test. The formula is

(x1 - x2)/√(s1²/n1 + s2²/n2)

From the information given,

x1 = 325.01

x2 = 323.47

s1 = 10.12

s2 = 11.43

n1 = 200

n2 = 180

t = (325.01 - 323.47)/√(10.12²/200 + 11.43²/180)

t = 1.24

1.237877

The formula for determining the degree of freedom is

df = [s1²/n1 + s2²/n2]²/(1/n1 - 1)(s1²/n1)² + (1/n2 - 1)(s2²/n2)²

df = [10.12²/200 + 11.43²/180]²/[(1/200 - 1)(10.12²/200)² + (1/180 - 1)(11.43²/180)²] = 1.53233946713/0.00537245359

df = 285

We would determine the probability value from the t test calculator. It becomes

p value = 0.108

Since alpha, 0.025 < than the p value, 0.108, then we would fail to reject the null hypothesis. Therefore, at 2.5% level of significance, these data support the brand name producers claim

5 0

3 years ago

Function f is shown below f(-3) f(4) find x when f(x) = 5 find x when f(x)= -3

hjlf

Answer:

See below ~

Step-by-step explanation:

Based on the graph,