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Liono4ka [1.6K]
3 years ago
10

You made two deposits to your bank accounts this month. One deposit was $17.92, and the second deposit was $15.33. Your balance

at the end of the month is $72.31, and you made no withdrawals. Which expression shows your balance at the beginning of the month?
Mathematics
1 answer:
WITCHER [35]3 years ago
6 0



$72.31  is the total amount AFTER ADDING TWO DEPOSITS

So, if we want to know the amount before deposits, we just need to take the total of previous two deposits

The expressions that show your balance would be

$72.31 – $17.92 – $15.33;    $39.06
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a_sh-v [17]

Answer:

The bulbs should be replaced each 1060.5 days.

Step-by-step explanation:

Problems of normally distributed samples are 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 = 1200, \sigma = 60

How often should the bulbs be replaced so that no more than 1% burn out between replacement periods?

This is the first percentile, that is, the value of X when Z has a pvalue of 0.01. So X when Z = -2.325.

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

-2.325 = \frac{X - 1200}{60}

X - 1200 = -2.325*60

X = 1060.5

The bulbs should be replaced each 1060.5 days.

4 0
3 years ago
May I please get help on this/
lara31 [8.8K]

Answer:

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Step-by-step explanation:

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Question 6. Which expression is equivalent to 3x(x-6)+5(x-4)?
alukav5142 [94]

Answer:

8x- 38

Step-by-step explanation:

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Combine like terms

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In how many ways can 3 Americans, 4 Frenchmen, 4 Danes and 2 Italians be seated in a row so that those of the same nationality s
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I need help with Multiplication Properties of Exponents desperately!! I've tried to solve both problems repeatedly and I cannot
Yuliya22 [10]

Answer:

1) x= -36.

2) x = 0.

Step-by-step explanation:

1) Taking the 3rd power to both sides and using the following exponent law:

\left(a^b\right)^c = a^{bc}

we get:

\left(\left(m^{x}\right)^{\frac{1}{3}}\right)^3 = \left(m^{-12}\right)^3 \\ m^x = m^{-36}

So this tells us that x = -36.

2) We can distribute the power inside every term. So the left side becomes:

\left(3x^3y^x\right)^3 = 3^3\left(x^3)^3y^{3x} = 27x^9y^{3x}

Now, the trick here is to remember that y^0 = 1, so replacing 1 with y^0, which then gives us:

27x^9y^{3x} = 27x^9y^{0}, telling us that 3x = 0 and thus, x = 0.

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