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4 years ago

If x + y = 9, z + y = 12, and z + x = 11, what is the average (arithmetic mean) of x, y and z?

Mathematics

1 answer:

Tatiana [17]4 years ago

6 0

$x+y=9 \\ z + y = 12 \\ z + x = 11 \\ x+y+ z + y+ z + x=9+12+11 \\ 2x+2y+ 2z=32 \\ x+y+ z=16
$

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What is the surface area of the cube? cube with edge length = 3.6 in.

Anvisha [2.4K]

B.77.76 Sq in
I did 3.6^2 and then multiplied it by 6
Hope this helps :)

6 0

3 years ago

(3 + 5) * 2Y = (5 * 8) - (2 * 4)

julia-pushkina [17]

Answer:

Y = 2

Step-by-step explanation:

Solve for Y:

(3 + 5)×2 Y = 5×8 - 2×4

3 + 5 = 8:

8×2 Y = 5×8 - 2×4

5×8 = 40:

8×2 Y = 40 - 2×4

-2×4 = -8:

8×2 Y = -8 + 40

8×2 = 16:

16 Y = 40 - 8

40 - 8 = 32:

16 Y = 32

Divide both sides of 16 Y = 32 by 16:

(16 Y)/16 = 32/16

16/16 = 1:

Y = 32/16

The gcd of 32 and 16 is 16, so 32/16 = (16×2)/(16×1) = 16/16×2 = 2:

Answer: Y = 2

5 0

3 years ago

The manufacturer of a new compact car claims the miles per gallon (mpg) for the gasoline consumption is approximately normal wit

lyudmila [28]

Answer:

The probability the average mpg is less than 28 mpg is 0.8413.

Step-by-step explanation:

Given : The manufacturer of a new compact car claims the miles per gallon (mpg) for the gasoline consumption is approximately normal with

Mean $\mu=26$ mpg and standard deviation $\sigma=12$ mpg.

Number of sample n=36

To find : What is the probability the average mpg is less than 28 mpg?

Solution :

Applying z-score formula,

$z=\dfrac{x-\mu}{\frac{\sigma}{\sqrt{n}}}$

The portability is given by, $P(X$

$=P(\dfrac{x-\mu}{\frac{\sigma}{\sqrt{n}}}$

$=P(z$

Using z-table,

$=0.8413$

Therefore, the probability the average mpg is less than 28 mpg is 0.8413.

6 0

3 years ago

The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 60 o

Gala2k [10]

Answer:

Step-by-step explanation:

Given that the Acme Company manufactures widgets, which have a mean of 60 ounces and a standard deviation of 7 ounces

We know that 95% of the area lie between -2 and 2 std deviations from the mean.

i.e. Probability for lying in the middle of 95%

Z score $(60+7(-2), 60+7(2))\\=(46, 74)$

Between 46 and 74 oz.

b) Between 12 and 57

convert into Z score

$(\frac{12-60}{7}$

P(-6.86<z<-0.43)

=0.5-0.1664=0.3336

c) X<30 gives Z<-4.83

i.e. P(X<30) =0.00

3 0

3 years ago

What is the initial value of y in the equation y=2(2.71)^x

eimsori [14]

We have the following equation:
y = 2 (2.71) ^ x
It is an equation of the form:
y = A (b) ^ x
Where,
A: initial amount
b: growth rate
We have then that the initial amount occurs for x = 0
Substituting:
y = 2 (2.71) ^ 0
y = 2 (1)
y = 2
Answer:
the initial value of and in the equation y = 2 (2.71) ^ x is:
y = 2

6 0

4 years ago