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2 years ago

10

In a local car lot, 1/6

1 answer:

Black_prince [1.1K]2 years ago

7 0

Answer: $\dfrac{5}{324}$

Step-by-step explanation:

Given

Probability that car has a standard transmission is $\frac{1}{6}$

So, the probability that the car does not have transmission is

$1-\dfrac{1}{6}=\dfrac{5}{6}$

Probability of that 3 out of 4 randomly selected cars have standard transmissions is given by selecting 3 cars with standard deviation and then multiply by their respective probabilities

$\Rightarrow P=^4C_3\cdot \left(\dfrac{1}{6}\right)^3\cdot \left(\dfrac{5}{6}\right)\\\\\Rightarrow P=4\times\dfrac{5}{6^4}\\\\\Rightarrow P=\dfrac{20}{1296}\\\\\Rightarrow P=\dfrac{5}{324}$

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If y varies directly as x and y = 144 when x = 12, what is the value of y when x = 17?

olasank [31]

Direct variation:
$y=kx$

y=144 when x=12.
$144=12k \\ k=\frac{144}{12} \\ k=12$

y=? when x=17.
$y=12 \times 17 \\
y=204$

y=204 when x=17.

6 0

3 years ago

Toby buys packs of 12 racing cars for R49,99 and sells each racing car for R10 at school

Ratling [72]

Answer:

1.1 R5.83

1.2 R70.01

1.3 58.34%

Step-by-step explanation:

Given that he buys a pack of 12 racing cars for R49,99 then the unit cost for a car which is the total cost divided by the number of cars in a pack

= R49,99/12

= R4.17

If each car is sold for R10 then the profit made on each car which is the difference between the cost and the selling price

= R10 - R4.17

= R5.83

The profit margin on one pack of 12 racing cars

Profit margin is the ratio of the profit to the total selling price

The total profit (profit on one pack of 12 racing cars)

= R5.83 * 12

=R70.01

Total selling price = R10 * 12

=R120

Margin = R70.01 / R120

= 58.34%

4 0

3 years ago

The slope of the line (2,2) and (6,10)

soldi70 [24.7K]

Answer:

2

Step-by-step explanation:

It rose 8 and ran 4 and slope is rise over run.

8/4 = 2

7 0

3 years ago

Write the simplified form of -64^1/3

GREYUIT [131]

Answer:

-4

Step-by-step explanation:

<em>Factor by the numbers from left to right.</em>

<em> $64^\frac{1}{3}$ </em>

<em> $64=4^3$ </em>

<em> $(\frac{4}{3})^\frac{1}{3}=4^3^*^\frac{1}{3}=4$ </em>

<em>It changes to positive to negative.</em>

<em>-4</em>

<em>-4 is the correct answer.</em>

8 0

3 years ago

Sean used the $1,200 he got from his graduation party to open a savings account. If the account earns 1% interest each month and

Greeley [361]

Answer:

$\$1,920$

Step-by-step explanation:

we know that

The simple interest formula is equal to

$A=P(1+rt)$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest

t is Number of Time Periods

in this problem we have

$t=5*12=60\ months\\ P=\$1,200\\r=0.01$

substitute in the formula above

$A=\$1,200(1+0.01*60)$

$A=\$1,200(1.6)=\$1,920$

6 0

2 years ago