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swat32
3 years ago
11

There are two brands of Corn Flakes, Post and Kellogs. Each brand has the same size box. However, because of each brand’s fillin

g procedure, they have different mean weights. The weights of a box of Post Corn Flakes is approximately normal with μ = 64.1 oz and σ = .5 oz while the weight of a box of Kellogs, which is also normally distributed, has μ = 63.9 oz and σ = .4 oz.
A box is selected from each brand and weighed. What is the probability that the Post box will outweigh the Kellogs box?
Mathematics
1 answer:
kaheart [24]3 years ago
4 0

Answer:

11

Step-by-step explanation:

IDK WHY LOL

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Find the area of the circle. Round your answer to the nearest hundredth.
vichka [17]

Answer:

7.07 in²

Step-by-step explanation:

pi x radius²

pi × 1.5²

4 0
3 years ago
A skateboarder starts from rest and maintains a constant forward acceleration of 0.50 meter per second squared for 8.4 s. what i
myrzilka [38]

Answer-

The rider’s displacement during this time is 17.01 m

Solution-

As we know,

s= ut + \frac{1}{2}at^{2}

Where s = displacement,

           u= initial velocity = 0, as the rider starts from rest

           a= acceleration = 0.5 m/s²

           t= time taken = 8.4 s

Putting the values,

s = (0)(8.4) + \frac{1}{2} (0.5)(8.4)^{2} = 17.64 \ m

7 0
3 years ago
Read 2 more answers
Find the value of cos(a), if cos(a)^4 - sin(a)^4 = 1/8
jek_recluse [69]

cos a = 3/4

Step-by-step explanation:

Step 1: Given details are cos(a)^4 - sin(a)^4 = 1/8

Now, cos(a)^4 can also be written as (cos²a)² and sin(a)^4 can be written as (sin²a)²

⇒ (cos²a)² - (sin²a)² = 1/8

Step 2: Apply the formula for a² - b² = (a - b) (a + b). Here a = cos²a and b = sin²a

⇒  (cos²a)² - (sin²a)² = (cos²a - sin²a) (cos²a + sin²a) = 1/8

⇒  (cos²a - sin²a) = 1/8 since cos²a + sin²a = 1

⇒ cos²a - (1 - cos²a) = 1/8 since sin²a = 1 - cos²a

⇒ 2 cos²a - 1 = 1/8

⇒ 2 cos²a = 1 + 1/8 = 9/8

⇒ cos²a = 9/16

⇒ cos a = 3/4

3 0
4 years ago
Read 2 more answers
Help ASAP! its the last question and I'll mark brainliest
mixer [17]

Answer:

The range is the same for both sets of data

Step-by-step explanation:

The two box and whisker plots share neither a median, upper quartile, or a lower quartile, but they do both have a range of 40-55.

4 0
3 years ago
Simplify the expression. 10C7<br><br> A. 1<br><br> B. 3,628,800<br><br> C. 604,800<br><br> D. 120
Sophie [7]

Answer:

Combination

Step-by-step explanation:

Here by 10C7 we actually mean, C_{7}^{10}

And the formula for evaluating mCn is

=\frac{m!}{n!*(m-n)!}

Therefore

10C7 =  

=\frac{10!}{7!*(10-7)!} \\=\frac{10!}{7!*3!} \\

Where m! is called m factorial and can be evaluated as

m!= m*(m-1)*(m-2)*(m-3)*.......3*2*1

Hence

10!= 10*9*8......*3*2*1

7!= 7*8*6.....3*2*1

3!=3*2*1

With these we can evaluate

10C7

=\frac{10*9*8*7*.....3*2*1}{(3*2*1)*(7*6*5....3*2*1)}\\=\frac{10*9*8}{3*2*1} \\=\frac{10*3*4}{1} \\=120

Hence the answer is D

4 0
3 years ago
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