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3 years ago

Will mark brainlest

Mathematics

2 answers:

Naya [18.7K]3 years ago

8 0

Answer:

Option C is correct

y = 15x

Step-by-step explanation:

Direct variation states that:

$y \propto x$ ......[1]

then, the equation is in the form of:

$y=kx$ , where k is the constant of variation.

From the given table :

consider any points;

x = 9 and y = 135

Substitute these in [1] we have;

$135 = 9k$

Divide both sides by 9 we have;

15 = k

k = 15

then, the equation we have; y = 15x

Therefore, the constant of proportionality for the table and write in the form y = kx is, y = 15x

aleksklad [387]3 years ago

7 0

Divide y by x:

150/10 = 15

135/9 = 15

30 /2 = 15

They all equal 15

This means the constant of proportionality would be y = 15x

The answer is C.

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I need help i dont know how to do it and i dont know the answer

Aloiza [94]

Answer:

125 ft²

Step-by-step explanation:

We know that that surface area of the triangular prism that will be covered with insulation is equal to the area of the two triangular faces, plus the two lateral rectangular faces.

So you get:

SA = 2 [ $\frac{1}{2}\\$ (15)(15)] + 2 [(30)(15)] = 1,125 ft²

3 0

2 years ago

A simple random sample of size n equals 200 individuals who are currently employed is asked if they work at home at least once p

____ [38]

Answer: 99% of confidence interval for the population proportion of employed individuals who work at home at-least once per week

//0.20113,0.20887[/tex]

Step-by-step explanation:

step 1:-

Given sample size n=200

of the 200 employed individuals surveyed 41 responded that they did work at home at least once per week

Population proportion of employed individuals who work at home at least once per week P = $\frac{x}{n} =\frac{41}{200} =0.205$

Q=1-P= 1-0.205 = 0.705

step 2:-

Now $\sqrt{\frac{P Q}{n} } =\sqrt{\frac{(0.205)(0.705)}{200} }$

=0.0015

step 3:-

Confidence intervals

using formula

$(P - Z_∝} \sqrt{\frac{P Q}{n},} (P + Z_∝} \sqrt{\frac{P Q}{n},$

$(0.205-2.58(0.0015),0.205+2.58(0.0015)\\0.20113,0.20887$

=0.20113,0.20887[/tex]

conclusion:-

99% of confidence interval for the population proportion of employed individuals who work at home at-least once per week

//0.20113,0.20887[/tex]

4 0

3 years ago

There are 36 students in Mrs.Keatons's sixth grade class. If 5/12 of her students are girls, how many girls in the class?

murzikaleks [220]

There are 15 girls because 12 x 3 = 36 and 5 x 3 = 15

6 0

3 years ago

en un maratòn participan corredores de todos los continentes 5/6 de los corredores son europeos se sabe que los americanos son l

Marysya12 [62]

Usando proporciones, se encuentra que 400 africanos han participado.

En total, hay x participantes.

$\frac{5}{6}$ de los corredores son europeos, o sea:

$E = \frac{5x}{6}$

Los americanos son la dècime parte de los europeos, o sea:

$Am = \frac{1}{10}E = \frac{5x}{60} = \frac{x}{12}$

Los africanos son la quinta parte de los americanos, o sea:

$Afr = \frac{1}{5}Am = \frac{x}{60}$

En la carrera han inscritos 24 000 participantes, o sea, $x = 24000$ . Por eso, la cantidad de africanos es:

$Afr = \frac{x}{60} = \frac{24000}{60} = 400$

Para obtener más información sobre las proporciones, puedes visitar a brainly.com/question/24615636

8 0

2 years ago

The line CD passes through the points C (2, -1) and D (1, 1). Which of the

inn [45]

Answer:

The equation of the straight line in point - slope form

y +1 = -2 ( x-2)

Step-by-step explanation:

Step(i):-

Given points are C( 2,-1) and D(1,1)

Slope of the line

$m = \frac{y_{2}-y_{1} }{x_{2}-x_{1} } = \frac{1-(-1)}{1-2} = \frac{2}{-1} = -2$

m = -2

Step(ii):-

Equation of the straight line passing through the point ( 2,-1) and having slope

m =-2

y - y₁ = m ( x- x₁)

y - (-1) = -2 ( x-2)

y +1 = -2 ( x-2)

Final answer:-

The equation of the straight line

y +1 = -2 ( x-2)

3 0

2 years ago