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2 years ago

8

The French Club ordered 16 pizzas for a party. Each pizza had 6 slices. Jose ate 7 of the slices. How many slices were left for

the rest of the club?

1 answer:

NikAS [45]2 years ago

4 0

16 x 6 = 96
96 - 7 = 89
or
14 pizzas and 5 slices

Answer : 89 slices

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There are exactly 2.54 centimeters in 1 inch. When using this conversion factor, how many significant figures are you limited t

IgorC [24]

Significant figures tells us that about how may digits we can count on to be precise given the uncertainty in our calculations or data measurements.

Since, one inch = 2.54 cm.

This is equivalent as saying that 1.0000000.. inch = 2.540000... cm.

Since the inch to cm conversion doesn't add any uncertainty, so we are free to keep any and all the significant figures.

Since, being an exact number, it has an unlimited number of significant figures and thus when we convert inch to cm we multiply two exact quantities together. Therefore, it will have infinite number of significant figures.

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3 years ago

1. Find the value of

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9514 1404 393

Answer:

-√5
3/5
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Step-by-step explanation:

The relevant relations are ...

sec = ±√(tan² +1)

cos = 1/sec

csc = 1/sin = ±1/√(1 -cos²)

Sine and Cosecant are positive in quadrants I and II. Cosine and Secant are positive in quadrants I and IV.

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2. cos(θ) = 1/sec(θ) = 1/(5/3) = 3/5

3. csc(θ) = -1/√(1 -(-3/5)²) = -√(16/25) = -4/5

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2 years ago

Kathleen deposits $20 into her account that earns 2.5% interest that is compounded twice a year. How much money will Kathleen ha

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A=20×(1+0.025÷2)^(2×30)
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3 years ago

A soda bottling company’s manufacturing process is calibrated so that 99% of bottles are filled to within specifications, while

bija089 [108]

Answer:

The probability that the assembly line will be shut down is 0.00617.

Step-by-step explanation:

We are given that a soda bottling company’s manufacturing process is calibrated so that 99% of bottles are filled to within specifications, while 1% is not within specification.

Every hour, 12 random bottles are taken from the assembly line and tested. If 2 or more bottles in the sample are not within specification, the assembly line is shut down for recalibration.

Let X = <u><em>Number of bottles in the sample that are not within specification</em></u>.

The above situation can be represented through binomial distribution;

$P(X=r)=\binom{n}{r} \times p^{r}\times (1-p)^{n-r};x=0,1,2,3,.....$

where, n = number of trials (samples) taken = 12 bottles

x = number of success = 2 or more bottles

p = probabilitiy of success which in our question is probability that

bottles are not within specification, i.e. p = 0.01

So, X ~ Binom (n = 12, p = 0.01)

Now, the probability that the assembly line will be shut down is given by = P(X $\geq$ 2)

P(X $\geq$ 2) = 1 - P(X = 0) - P(X = 1)

= $1-\binom{12}{0} \times 0.01^{0}\times (1-0.01)^{12-0}-\binom{12}{1} \times 0.01^{1}\times (1-0.01)^{12-1}$

= $1-(1 \times 1\times 0.99^{12})-(12 \times 0.01^{1}\times 0.99^{11})$

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3 years ago

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Solving for B = 0
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