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Mathematics

1 answer:

RoseWind [281]2 years ago

4 0

The answer is 7 R 4! hoped this helps!

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Simplify the expression. (3.14×107)×(1.3×10−3)÷0.2<br> Scientific notation PLS!

marusya05 [52]

$3.14 \times 107 = 335.98$
$(335.98) \times (1.3 \times 10 - 3) \div 0.2$
$1.3 \times 10 = 13 - 3 = 10$
$(335.98) \times (10) \div 0.2$
$335.98 \times 10 = 3359.8$
$3359.8 \div 0.2 = 16799$
$1.6799 \times {10}^{4}$

5 0

3 years ago

Richard is $15 overdrawn on his checking account. He writes a check for $7. What is the balance in his checking account now?

Annette [7]

Since he’s already at -15, if he writes a check for 7 then he’s subtracting more from his account.
So, -15-7=-22

5 0

3 years ago

A machine that produces ball bearings has initially been set so that the true average diameter of the bearings it produces is .5

lara [203]

Answer:

7.3% of the bearings produced will not be acceptable

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value 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. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 0.499, \sigma = 0.002$