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yKpoI14uk [10]
3 years ago
5

17,280 meal worms

Mathematics
1 answer:
zubka84 [21]3 years ago
6 0

Answer:

a) 30 000 000

b) -100 000 000

c) -160 000 000

d) 27 500 000

Step-by-step explanation:

You want to know how many bacteria are killed every 6 hours which is 1/10 so 50 000 000:10= 5 000 000 every 6 hours.

a) how many times does 6 hours fit in 1 day) 24÷6=4 so 4×5 000 000= 20 000 000 so then you subtract that from 50 000 000 because you want to know what remains which means 30 000 000 bacteria remain.

b) we already calculated 1 day so 30 000 000×5=150 000 000. Then you subtract that from the 50 000 000. 50 000 000- 150 000 000= -100 000 000

c) 1 day× 7= 30 000 000×7= 210 000 000- 50 000 000= -160 000 000

d) 5 000 000÷2= 2 500 000= 30 000 000- 2 500 000= 27 500 000 6 hours divided by 2 equals 3 hours so you also divide the bacteria by 2.

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The line which passes through -2,5 and 6,8​
babunello [35]

Answer:

y=(3/8)x+5.75

Step-by-step explanation:

y=mx+b

m=slope

b=y-intercept

m=(8-5)/(6+2)=3/8

y=mx+b

5=3/8(-2)+b

5=-3/4+b

b=5.75

y=mx+b

y=(3/8)x+5.75

3 0
3 years ago
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kari74 [83]
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4 0
3 years ago
The scores on a psychology exam were normally distributed with a mean of 57
olya-2409 [2.1K]

Answer:

Cutoff for a failing score is 49 and 2.28% students failed.

Step-by-step explanation:

We have been given that scores on a psychology exam were normally distributed with a mean of 57  and a standard deviation of 4.

2 standard deviation below mean would be,

57-2(4) =57-8= 49

Therefore,Cutoff far a failing score is 49.

Now let us find out the z-score for our given values,

z=\frac{x-\mu}{\sigma}

z=\frac{49-57}{4}=\frac{-8}{4} =-2

Now let us look up the probability from normal distribution table.

P(z

Therefore, percentage of students failed is 2.28%.



3 0
3 years ago
Chocolate cake for 6 people needs 150g of flour, 150g of sugar, 120g of cocoa and 3 eggs. Emma has 8 eggs, 450g flour, 380g suga
Nookie1986 [14]
First you would need to dive what you have of each ingredient by how much you need for 6 people.

Flour: 450 ÷ 150 = 3
Sugar: 380 ÷150 = 2 
Cocoa: 300 ÷ 120 = 2.5
Eggs: 8 ÷ 3 = 2.7

then you look at the total batches each could make and average it to 2 batches. then multiply 6 by 2.

6×2= 12 

so all together, the maximum amount of people you can make for is 12.
8 0
3 years ago
Two vertical posts stand side by side. One post is 8 feet tall and the other is 17 feet tall. If a 24 foot wire is stretched bet
lianna [129]

Answer:

The distance between the posts is 3\sqrt{55} feet.

Step-by-step explanation:

In the attached figure, let DB and AC be the posts and let AD be the wire attached to the top of the posts.

BC is the distance between the posts and we need to find BC.

Note that BC = DE

Also, EC = DB = 8m and AE = AC - EC = 17 - 8 = 9 m.

Now, in the right triangle ADE,

AD^{2} =AE^{2} +DE^{2}

24^{2} =9^{2} +DE^{2}

DE^{2} =24^{2} -9^{2}

= (24+9) (24-9)

= 33(15)

= (3 × 11) × (3 × 5)

DE=3\sqrt{55}

Since DE = BC,

BC=3\sqrt{55}

Hence, the distance between the posts is 3\sqrt{55} feet.



7 0
3 years ago
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