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4 years ago

What is the constant of propotionality in the equation 3y=2x?

Mathematics

1 answer:

liq [111]4 years ago

4 0

Answer:

k=2/3

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y/x = k or y = kx

In this problem we have 3y = 2x

Isolate the variable y

Divide by 3 both sides

y = 2/3x

Remember that

In a proportional relationship the constant of proportionality k is equal to the slope m of the line

The slope of the line m is

m = 2/3

therefore

The constant of proportionality k is

k = 2/3

I hope this helped have a wonderful day/night ! <3 (depends what time it is)

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Select the next two terms in the pattern. 0.4, 2, 10, 50, . . .

trapecia [35]

It is the multiplicity of 5, which means the next two terms is 250 and 1250

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3 years ago

The sum of a number p and 7 is divided by 12. the result is 3. what is the number?

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4 years ago

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sergeinik [125]

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3 years ago

A college entrance exam company determined that a score of 24 on the mathematics portion of the exam suggests that a student is

seraphim [82]

Answer:

a) The Z -value 2.397 < 2.576 at 99% or 0.01% level of significance

Null hypothesis is accepted at 0.01% level of significance

They score is above 24 on the math portion of the exam

b)

Null Hypothesis: There is no significance difference between the college level mathematics and math courses in high school

H₀: μ = 24

Alternative Hypothesis: H₁: μ ≠ 24

Step-by-step explanation:

Step(i):-

Given random sample 'n' = 250

Given data sample mean x⁻ = 24.5

Standard deviation = 3.3

Null Hypothesis: There is no significance difference between the college level mathematics and math courses in high school

H₀: μ = 24

Alternative Hypothesis: H₁: μ ≠ 24

test statistic

$Z = \frac{x^{-} - mean}{\frac{S.D}{\sqrt{n} } }$

$Z = \frac{24.5 - 24}{\frac{3.3}{\sqrt{250} } } = \frac{0.5}{0.2087} = 2.397$

a) 99% or 0.01% level of significance

Level of significance ∝ = 0.01

$Z_{\frac{\alpha }{2} } = Z_{\frac{0.01}{2} } = Z_{0.005} =2.576$

The Z -value 2.397 < 2.576 at 99% or 0.01% level of significance

Null hypothesis is accepted at 0.01% level of significance

They score is above 24 on the math portion of the exam

b) 95% or 0.05% level of significance

Level of significance ∝ = 0.05

$Z_{\frac{\alpha }{2} } = Z_{\frac{0.05}{2} } = Z_{0.025} = 1.96$

The Z -value 2.397 > 1.96 at 95% or 0.05% level of significance

Null hypothesis is Rejected at 0.05% level of significance

They score is below 24 on the math portion of the exam

6 0

3 years ago

To find the distance AB across a river, a surveyor laid off a distance BC=361 m on one side of the river. It is found that B=111

zhannawk [14.2K]

Answer:

91.87m

Step-by-step explanation:

We are given that

BC=361 m

Angle B= $111^{\circ}20'=111+\frac{20}{60}=111.33^{\circ}$

1 degree= 60 minute

Angle C= $12^{\circ} 15'=12+\frac{15}{60}=12.25^{\circ}$

We have to find the value of AB.

Sum of angles of triangle=180 degrees

$\angle A+\angle B+\angle C=180$

$\angle A=180-(\angle C+\angle B)=180-(111.33+12.25)=56.42^{\circ}$

By using law of sine

$\frac{AB}{sin C}=\frac{BC}{sin A}$

$AB=\frac{BCsin C}{sin A}=\frac{361 sin 12.25^{\circ}}{sin 56.42^{\circ}}$

$AB=91.87 m$

7 0

4 years ago