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3 years ago

The hypotenuse of a right triangle is 65 cm, if one of its sides is 25 cm, find the length of the other side and it's perimeter

Mathematics

1 answer:

KatRina [158]3 years ago

5 0

Answer:

Other side = 60

Perimeter = 150

Step-by-step explanation:

Using Hypothenuse formula

25²+B²=65²

625+B²=4225

B²=4225-425

B²=3600 (Bring Square to the other side to become Square root)

B=√(3600)

B=60

Perimeter:(Sum of all side)

60+65+25

150

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How much water do you add...

Alecsey [184]

Answer: 36.67 grams of water is added.

Step-by-step explanation:

Let the amount of water is added be 'x'.

Amount of sugar = 5 g

We need to make 12% of sugar syrup.

x grams of water is added to 5 g of sugar, to 12% of sugar syrup.

so, it becomes,

$\frac{5}{5+x}=\frac{12}{100}\\\\100\times 5=12(5+x)\\\\500=60+12x\\\\500-60=12x\\\\440=12x\\\\\frac{440}{12}=x\\\\36.67\ g=x$

Hence, 36.67 grams of water is added.

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3 years ago

A half-century ago, the mean height of women in a particular country in their 20s was 64.7 inches. Assume that the heights of

Ainat [17]

Answer:

99.5% of all samples of 21 of today's women in their 20's have mean heights of at least 65.86 inches.

Step-by-step explanation:

We are given that a half-century ago, the mean height of women in a particular country in their 20's was 64.7 inches. Assume that the heights of today's women in their 20's are approximately normally distributed with a standard deviation of 2.07 inches.

Also, a samples of 21 of today's women in their 20's have been taken.

Let $\bar X$ = sample mean heights

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 height of women = 64.7 inches

$\sigma$ = standard deviation = 2.07 inches

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

Now, Probability that the sample of 21 of today's women in their 20's have mean heights of at least 65.86 inches is given by = P( $\bar X$ $\geq$ 65.86 inches)

P( $\bar X$ $\geq$ 65.86 inches) = P( $\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n} } }$ $\geq$ $\frac{65.86-64.7}{\frac{2.07}{\sqrt{21} } }$ ) = P(Z $\geq$ -2.57) = P(Z $\leq$ 2.57)

= 0.99492 or 99.5%

The above probability is calculated by looking at the value of x = 2.57 in the z table which has an area of 0.99492.

Therefore, 99.5% of all samples of 21 of today's women in their 20's have mean heights of at least 65.86 inches.

3 0

3 years ago

The retail cost of a TV is 50 % more than its wholesale cost. Therefore, the retail cost is ____ times the wholesale cost.

kenny6666 [7]

Answer:

Let the retail cost be x and the wholesale cost be y

Step-by-step explanation:

x = y + 0.50y

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Therefore the retail cost is 1.50 times the wholesale cost.

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3 years ago