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3 years ago

Simplify the ratio 50:30

Mathematics

2 answers:

True [87]3 years ago

7 0

$\huge\text{Hey there!}$

$\large\text{Simplify the ratio 50:30}$

$\\\textsf{Finding your GCF}\downarrow\\\\\textsf{30: 1, 2, 3, 5, 10, 15, 30}\\\textsf{50: 1, 2, 5, 10, 25, 30}\\\\\bold{GCF: \underline{10}}\large\checkmark$

$\large\text{DIVIDE BOTH of the TERMS by 10}$

$\mathsf{50\div10=5}\\\mathsf{30\div10=3}}$

$\large\text{We had to reduce the ratio of 50:30 to your LOWEST TERMS}\\\large\text{by DIVIDING each of the TERMS by 10}$

$\bold{Thus, that\ means\ that\ 50:30\ is\ simplified\ to \rightarrow 5:3}$

$\boxed{\boxed{\huge\text{Answer: \bold{5:3}}}}\huge\checkmark$

$\large\text{Good luck on your assignment and enjoy your day!}$

~ $\frak{Amphitrite1040:)}$

gladu [14]3 years ago

3 0

Answer:

The simplest form of 50:30 is 53.

Step-by-step explanation:

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Answer:

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3 years ago

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You are testing the claim that the mean GPA of night students is different from the mean GPA of day students. You sample 30 nigh

lorasvet [3.4K]

Answer:

Step-by-step explanation:

This is a test of 2 independent groups. The population standard deviations are not known. Let μ1 be the mean GPA of night students and μ2 be the mean GPA of day students.

The random variable is μ1 - μ2 = difference in the mean GPA of night students and the mean GPA of day students.

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

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 = 2.35

x2 = 2.58

s1 = 0.46

s2 = 0.47

n1 = 30

n2 = 25

t = (2.35 - 2.58)/√(0.46²/30 + 0.47²/25)

t = - 1.82

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 = [0.46²/30 + 0.47²/25]²/[(1/30 - 1)(0.46²/30)² + (1/25 - 1)(0.47²/25)²] = 0.00025247091/0.00000496862

df = 51

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

p value = 0.075

Alpha = 5% = 0.05

Since alpha, 0.05 < than the p value, 0.075, then we would fail to reject the null hypothesis.

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Answer:

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Determine the radius and center of the circle with the following equation <br> x^2+y^2-12x+24y-10=6

PolarNik [594]

Answer:

Center: (6, -12)

Radius: 4

Step-by-step explanation:

<u>Complete the squares</u>

<u /> $x^2+y^2-12x+24y-10=6\\\\x^2-12x-10+y^2+24y=6\\\\x^2-12x-10+46+y^2+24y+144=6+46+144\\\\(x^2-12x+36)+(y^2+24y+144)=196\\\\(x-6)^2+(y+12)^2=196$

Comparing with the standard form equation $(x-h)^2+(y-k)^2=r^2$ , since $r^2=196$ , then the radius of the circle is $r=14$ . Also, the center of the circle would be $(h,k)\rightarrow(6,-12)$ .