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Mathematics

2 answers:

Over [174]3 years ago

7 0

You deposit $350 in savings account. The account earns 2.5 simple.

kenny6666 [7]3 years ago

6 0

Answer:

t = 1.5 = 1 ½ years

Explanation:

I = Prt

I is the interest in money, P is the principle in money, r is the rate, and t is the time in years

Given I = $174, P = $1450, and r = 8%.

Rearrange the formula so that t is being solved for:

I = Prt → I / Pr = Prt / Pr → I / Pr = t →

t = I / Pr.

Then substitute:

t = I / Pr → t = (174) / (1450)(8%) →

(174) / (1450)(0.08)

x% = x / 100.

(174) / (1450)(0.08) → 174 / 116 → 87 / 58 → 87 ÷ 29 / 58 ÷ 29 → 3/2.

3/2 = 1.5 = 1 ½.

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Based on data collected from its production processes, Crosstiles Inc. determines that the breaking strength of its most popular

alexandr1967 [171]

Answer:

16% of its popular porcelain tile will have breaking strengths greater than 412.5 pounds per square inch.

Step-by-step explanation:

We are given that the breaking strength of its most popular porcelain tile is normally distributed with a mean of 400 pounds per square inch and a the standard deviation of 12.5 pounds per square inch.

Let X = the breaking strength of its most popular porcelain tile

SO, X ~ Normal( $\mu=400,\sigma^{2}=12.5^{2}$ )

The z score probability distribution for normal distribution is given by;

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

where, $\mu$ = mean breaking strength of porcelain tile = 400 pounds per square inch

$\sigma$ = standard deviation = 12.5 pounds per square inch

Now, probability that the popular porcelain tile will have breaking strengths greater than 412.5 pounds per square inch is given by = P(X > 412.5)

P(X > 412.5) = P( $\frac{X-\mu}{\sigma}$ > $\frac{412.5-400}{12.5}$ ) = P(Z > 1) = 1 - P(Z $\leq$ 1)