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koban [17]
3 years ago
12

Susan has 50% more books than Michael. Michael has 40 books. If Michael buys 8 more books, will Susan have more or less books th

an Michael? Use any method to solve the problem
Mathematics
1 answer:
ololo11 [35]3 years ago
7 0

Answer:

Susan has more books than Michael.

Step-by-step explanation:

If Susan has 50% more books and Michael has 40 books, that means Susan has 1.5 times 40 = 60

40 + 8 = 48

60 is more than 48, so Susan has more books than Michael

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If you can ride a bike then you can drive a car. True or False
kumpel [21]

Answer:

aflse

Step-by-step explanation:

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3 years ago
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An average light bulb manufactured by the Acme Corporation lasts 300 days with a standard deviation of 50 days. Assuming that bu
notsponge [240]

Answer:

1. 90% 2. 10% 3. 50%

Step-by-step explanation:

Standard Deviation (σ) = 50 days

Average/Mean (μ) = 300days

Probability that it would last more than 300 days = P(Bulb>300 days)

We will assume there are 365 days in a year.

P(Bulb>300 days)  implies that the bulb would

Using the normal equation;

z = standard/normal score = (x-μ)/σ where x is the value to be standardized

P(Bulb>300 days) implies x = 365 days

Therefore z = (365-300)/50 = 1.3

Using the normal graph for z=1.3, probability = 90%

2. P(Bulb<300 days) = 1 - P(Bulb>300 days)\

P(Bulb<300 days) = 1 - 0.9

P(Bulb<300 days)  = 10%

3. P(Bulb=300 days) implies z=0 since x=300

Using the normal graph for z=0, probability =50%

6 0
3 years ago
Find the matrix product, if possible.  Show your work please
steposvetlana [31]
\left[\begin{array}{ccc}-1&3\\5&4\end{array}\right] \cdot  \left[\begin{array}{ccc}0&-2&6\\1&-3&2\end{array}\right]\\\\=  \left[\begin{array}{ccc}(-1)(0)+(3)(1)&(-1)(-2)+(3)(-3)&(-1)(6)+(3)(2)\\(5)(0)+(4)(1)&(5)(-2)+(4)(-3)&(5)(6)+(4)(2)\end{array}\right]\\\\=  \left[\begin{array}{ccc}0+3&2-9&-6+6\\0+4&-10-12&30+8\end{array}\right]\\\\  =\left[\begin{array}{ccc}3&-7&0\\4&-22&38\end{array}\right]

3 0
3 years ago
You deposit $3000 into a money-market savings account which pays 4.8% compounded quarterly, and you make no withdrawals from or
faust18 [17]

Answer:

$5265.71

Step-by-step explanation:

We have been given that you deposit $3000 into a money-market savings account which pays 4.8% compounded quarterly.

We will use future value formula to solve our given problem.

FV=C_0\times (1+r)^n, where,

C_0=\text{Initial amount},

r = Rate of return in decimal form,

n = Number of periods.

4.8\%=\frac{4.8}{100}=0.048

n=3\times 4=12

FV=\$3,000\times (1+0.048)^{12}

FV=\$3,000\times (1.048)^{12}

FV=\$3,000\times 1.7552354909370114

FV=\$5265.7064\approx \$5265.71

Therefore, there will be $5265.71 in your account at the end of those 3 years.

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