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3 years ago

Alphonse spends 28 dollars on food. this amount is 4/9 of his allowance. calculate his allowance

2 answers:

7 0

X $ -- Allowence

$\frac{4}{9}*x=28 \ |:\frac{4}{9}\\\\ x=\not28^7\cdot \frac{9}{\not4^1}\\\\ x=7*9\\\\ x=63$

Answer:
$63

katen-ka-za [31]3 years ago

6 0

Say the total allowance is X.
4/9X=$28
Therefore 28/(4/9) = $63

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3 years ago

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3 years ago

After the booster club sold 40 hotdogs at a football game, it had $90 in profit. After the next game, it had sold a total of 80

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3 years ago

Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 141 millimeters,

tiny-mole [99]

Answer:

Probability that the sample mean would be greater than 141.4 millimetres is 0.3594.

Step-by-step explanation:

We are given that Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 141 millimetres, and a standard deviation of 7.

A random sample of 39 steel bolts is selected.

Let $\bar X$ = sample mean diameter

The z score probability distribution for sample mean is given by;

Z = $\frac{ \bar X-\mu}{\frac{\sigma}{\sqrt{n} } } }$ ~ N(0,1)

where, $\mu$ = population mean diameter = 141 millimetres

$\sigma$ = standard deviation = 7 millimetres

n = sample of steel bolts = 39

Now, Percentage the sample mean would be greater than 141.4 millimetres is given by = P( $\bar X$ > 141.4 millimetres)

P( $\bar X$ > 141.4) = P( $\frac{ \bar X-\mu}{\frac{\sigma}{\sqrt{n} } } }$ > $\frac{141.4-141}{\frac{7}{\sqrt{39} } } }$ ) = P(Z > 0.36) = 1 - P(Z $\leq$ 0.36)

= 1 - 0.6406 = 0.3594

The above probability is calculated by looking at the value of x = 0.36 in the z table which has an area of 0.6406.

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3 years ago

You decide to take your car on a drive through Canada, where gas is sold in liters and distances are measured in kilometers. Sup

12345 [234]

Answer:

the no of liters required is 50.55 liters

Step-by-step explanation:

Given that

The car gas efficiency is 23.0 mi/gal

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hence, the no of liters required is 50.55 liters

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2 years ago