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Vesna [10]
3 years ago
13

Pls solve this sums (asap)

Mathematics
1 answer:
dem82 [27]3 years ago
5 0
All you have to do is multiply your number and then add them together !!
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If each dozen cookies needs 3/4 of a bag of flour to make how many bags of flour does Grandma need to buy if she's making 10 doz
olya-2409 [2.1K]

Answer:

Step-by-step explanation:

3/4 cups → 1 batch

x cups    → 2 batches

 

x = 2(3/4) = 6/4 = 1 1/2 cups

 

3/4 cups → 1 batch

y cups → 9 batches

y = 9(3/4) = 6 3/4 cups

8 0
3 years ago
An airline experiences a no-show rate of 6%. What is the maximum number of reservations that it could accept for a flight with a
LekaFEV [45]

Let Xb be the number of reservations that are accommodated. Xb has the binomial distribution with n trials and success probability p = 0.94

In general, if X has the binomial distribution with n trials and a success probability of p then
P[Xb = x] = n!/(x!(n-x)!) * p^x * (1-p)^(n-x)
for values of x = 0, 1, 2, ..., n
P[Xb = x] = 0 for any other value of x.

To use the normal approximation to the binomial you must first validate that you have more than 10 expected successes and 10 expected failures. In other words, you need to have n * p > 10 and n * (1-p) > 10.

Some authors will say you only need 5 expected successes and 5 expected failures to use this approximation. If you are working towards the center of the distribution then this condition should be sufficient. However, the approximations in the tails of the distribution will be weaker espeically if the success probability is low or high. Using 10 expected successes and 10 expected failures is a more conservative approach but will allow for better approximations especially when p is small or p is large.

If Xb ~ Binomial(n, p) then we can approximate probabilities using the normal distribution where Xn is normal with mean μ = n * p, variance σ² = n * p * (1-p), and standard deviation σ

I have noted two different notations for the Normal distribution, one using the variance and one using the standard deviation. In most textbooks and in most of the literature, the parameters used to denote the Normal distribution are the mean and the variance. In most software programs, the standard notation is to use the mean and the standard deviation.

The probabilities are approximated using a continuity correction. We need to use a continuity correction because we are estimating discrete probabilities with a continuous distribution. The best way to make sure you use the correct continuity correction is to draw out a small histogram of the binomial distribution and shade in the values you need. The continuity correction accounts for the area of the boxes that would be missing or would be extra under the normal curve.

P( Xb < x) ≈ P( Xn < (x - 0.5) )
P( Xb > x) ≈ P( Xn > (x + 0.5) )
P( Xb ≤ x) ≈ P( Xn ≤ (x + 0.5) )
P( Xb ≥ x) ≈ P( Xn ≥ (x - 0.5) )
P( Xb = x) ≈ P( (x - 0.5) < Xn < (x + 0.5) )
P( a ≤ Xb ≤ b ) ≈ P( (a - 0.5) < Xn < (b + 0.5) )
P( a ≤ Xb < b ) ≈ P( (a - 0.5) < Xn < (b - 0.5) )
P( a < Xb ≤ b ) ≈ P( (a + 0.5) < Xn < (b + 0.5) )
P( a < Xb < b ) ≈ P( (a + 0.5) < Xn < (b - 0.5) )

In the work that follows X has the binomial distribution, Xn has the normal distribution and Z has the standard normal distribution.

Remember that for any normal random variable Xn, you can transform it into standard units via: Z = (Xn - μ ) / σ

In this question Xn ~ Normal(μ = 0.94 , σ = sqrt(0.94 * n * 0.06) )

Find n such that:

P(Xb ≤ 160) ≥ 0.95

approximate using the Normal distribution
P(Xn ≤ 160.5) ≥ 0.95

P( Z ≤ (160.5 - 0.94 * n) / sqrt(0.94 * n * 0.06)) ≥ 0.95

P( Z < 1.96 ) ≥ 0.95

so solve this equation for n

(160.5 - 0.94 * n) / sqrt(0.94 * n * 0.06) = 1.96

n = 164.396

n must be integer valued so take the ceiling and you have:

n = 165.

The air line can sell 165 tickets for the flight and accommodate all reservates at least 95% of the time

If you can understand that...

7 0
3 years ago
The equation for the line of best fit is y=–0.7x+39. In this equation, what does the y-intercept of 39 tell you?
Andrei [34K]
It’s tells me that the line started at coordinate (0,39)
3 0
2 years ago
What is the Measure of
netineya [11]

Answer: 90°

Step-by-step explanation:

A measure of central tendency is a single value that attempts to describe a set of data by identifying the central position within that set of data. ... The mean (often called the average) is most likely the measure of central tendency that you are most familiar with, but there are others, such as the median and the mode.

8 0
3 years ago
Asha and Lucy are selling pencils in a school shop.
Akimi4 [234]

Step-by-step explanation:

7x+22=2(5x+2)

7x+22=10x+4 (-7x)

3x+4=22 (-4)

3X=18 (divide by 3)

X=6 pencils

check if the number is correct

asha= 7*6=42 42+22 is 64

Lucy= 5*6=30 30+2 is 3264/32 is 2

asha= 7*6=42 42+22 is 64Lucy= 5*6=30 30+2 is 3264/32 is 2there fore asha sells twice as many as Lucy

8 0
3 years ago
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