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MAVERICK [17]
2 years ago
9

Y varies directly as x, if y=12 when x=5, find y when x=3

Mathematics
1 answer:
morpeh [17]2 years ago
8 0

Answer:

y = 36/5

Step-by-step explanation:

The formula for direct variation is

y = kx where k is a constant

We know y =12 and x= 5

12 = k*5

12/5 = k

The formula is

y = 12/5 x

Now find y = when x=3

y = 12/5 *3

y = 36/5

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A statistics teacher started class one day by drawing the names of 10 students out of a hat and asked them to do as many pushups
HACTEHA [7]

Answer:  b. 8.56 to 21.44

Step-by-step explanation:

Let  \mu be the  mean number of pushups that can be done.

As per given , we have

Sample size : n= 10

Degree of freedom = n-1=9

Sample mean : \overline{x}=15

Sample standard deviation : s=9

Significance level : α=1-0.95=0.05

From t- distribution table ,

Critical two -tailed t-value for α=0.05 and df = 9 is

t_{\alpha/2, 9}=t_{0.025,9}=2.2622

Confidence interval for \mu is given by :-

\overline{x}\pm t*\dfrac{s}{\sqrt{n}}

=15\pm (2.2622)\dfrac{9}{\sqrt{10}}\\\\\approx 15\pm 6.44=(15-6.44,\ 15+6.44)\\\\=(8.56,\ 21.44)

Hence, the  95% confidence interval for the true mean number of pushups that can be done is 8.56 to 21.44.

5 0
3 years ago
What is the value of -3 to the power of four?
PolarNik [594]

Answer:

-81

Step-by-step explanation:

-3 to the power of 4 is -81.

8 0
3 years ago
Read 2 more answers
10. 10x + 5y = 15
Westkost [7]

Answer:

x = 1.5

y = 0

Step-by-step explanation:

10x + 5(2x - 3) = 15

10x + 10x - 15 = 15

20x - 15 = 15

20x = 30

x = 1.5

y = 2(1.5) - 3

y = 3 - 3

y = 0

Check:

10(1.5) + 5(0) = 15

15 + 5(0) = 15

15 + 0 = 15

15 = 15

7 0
3 years ago
In a boaster club,1/8 of the 128 members are men how many male member are in the club
Bingel [31]
16 male members in the club
3 0
3 years ago
Read 2 more answers
Frações Algébricas - 3* caso <img src="https://tex.z-dn.net/?f=%5Cfrac%7Bx%2B1%7D%7B2x-4%7D%20%20%2B%20%5Cfrac%7Bx-1%7D%7B3x-6%7
Ulleksa [173]

Answer:

\dfrac{5x + 1}{6(x - 2)}

\dfrac{5x + 1}{6x - 12}

Step-by-step explanation:

Fatorizam-se os denominadores.

2x - 4 = 2(x - 2)

3x - 6 = 3(x - 2)

O minimo multiplo comum dos denominadores e

2(3)(x - 2)

\dfrac{x + 1}{2x - 4} + \dfrac{x - 1}{3x - 6} =

= \dfrac{3(x + 1)}{2(3)(x - 2)} + \dfrac{2(x - 1)}{2(3)(x - 2)}

= \dfrac{3(x + 1) + 2(x - 1)}{6(x - 2)}

= \dfrac{3x + 3 + 2x - 2)}{6(x - 2)}

= \dfrac{5x + 1}{6(x - 2)}

= \dfrac{5x + 1}{6x - 12}

4 0
3 years ago
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