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3 years ago

An apple weighs 350 grams. a pear weighs 0.4 kilograms. Which of the following statements are true. (2 answers)

Mathematics

2 answers:

Elenna [48]3 years ago

8 0

Answer:

The correct options are:

B: The difference between the fruits are 50 grams.

D: The pear weighs 400 grams.

Step-by-step explanation:

The weight of an apple is given to be:

350 grams.

The weight of pear is given as:

0.4 kilograms.

Now to compare the weights of both the items we need to represent their weights in the same units i.e. either both of their weights are in kilograms or both of their weights are in grams.

We know that:

1 kilogram=1000 grams.

in kilograms:

Weight of apple=350 grams.

which is equal to:

$\dfrac{350}{1000}=0.350 kilograms$

Weight of a pear=0.4 kilograms.

in grams:

Weight of apple=350 grams.

Weight of a pear=0.4 kilograms

=0.4×1000=400 grams.

Hence,

The weight of apple is less than weight of a pear.

( since weight of apple=350 grams.

Weight of a pear=400 grams)

The difference between their weights is given by:

400-350=50 grams.

Hence, the correct options are:

B: The difference between the fruits are 50 grams.

D: The pear weighs 400 grams.

Arturiano [62]3 years ago

5 0

B and D are the correct answers

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tia_tia [17]

Answer:

The minimum head breadth that will fit the clientele is 4.4 inches.

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Step-by-step explanation:

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To compute the probability of a normal distribution we first need to convert the raw scores to z-scores using the formula:

$z=\frac{x-\mu}{\sigma}$

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The value of z for this probability is:

z = -1.717

*Use a z-table.

Compute the value of x as follows:

$z=\frac{x-\mu}{\sigma}\\-1.717=\frac{x-6.1}{1}\\x=6.1-(1.717\times 1)\\x=4.383\\x\approx4.4$

Thus, the minimum head breadth that will fit the clientele is 4.4 inches.

Compute the maximum head breadth that will fit the clientele as follows:

P (X > x) = 0.043

⇒ P (Z > z) = 0.043

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The value of z for this probability is:

z = 1.717

*Use a z-table.

Compute the value of x as follows:

$z=\frac{x-\mu}{\sigma}\\1.717=\frac{x-6.1}{1}\\x=6.1+(1.717\times 1)\\x=7.817\\x\approx7.8$

Thus, the maximum head breadth that will fit the clientele is 7.8 inches.

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mamaluj [8]

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I hope I've helped!

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