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3 years ago

90 POINTS! HELP PLEASE!!!! I need answers to a-e thank you.

Mathematics

1 answer:

polet [3.4K]3 years ago

8 0

Answer:

(a)Equation representing amount of lights on Monday is 2 x + 3 y = 44

(b)Equation representing amount of lights on Tuesday is 5 x + 3 y = 56

(c) Bob uses 4 stands of light on Bushes

and Bob uses 12 strands of lights on trees.

Step-by-step explanation:

Let x = strands of lights on bushes.

Let y = strands of lights on trees.

Bob used 44 strands of light to decorate 2 bushes and 3 trees on Monday.

So, the number of light on 2 bushes = 2x

and the number of light on 3 tress = 3 y

⇒ 2 x + 3 y = 44

Also, On Tuesday, Bob used 56 strands of lights to decorate 5 bushes and 3 trees.

So, the number of light on 5 bushes = 5x

and the number of light on 3 tress = 3 y

⇒ 5 x + 3 y = 56

Now, solving the system of equations:

2 x + 3 y = 44

5 x + 3 y = 56

Subtract equation (2) from (1), we get

2 x + 3 y - (5 x + 3 y) = 44 - 56

or, 2x - 5x = - 12

or, 3x = 12 ⇒ x = 12/3 = 4 or x = 4

Using x = 4 in 2x + 3y = 44

2(4) + 3y = 44

or, 3y = 44- 8 = 36

or y = 36 /3 = 12 or y = 12

So, the value of x = 4, and y = 12

Hence, here Bob uses 4 stands of light on Bushes

and Bob uses 12 strands of lights on trees.

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lesya692 [45]

Answer:

Step-by-step explanation:

for 1st week=1 ¢

for 2nd week= 2¢

for 3rd week= 4¢

for 4th week=8¢

for 5th week=16¢

for 6th week=32¢

for 7th week=64¢

for 8th week=64+64=128¢

for 9th week= 128+128=256¢

for 10th week= 256+256=512¢

.: he saved a total of

1+2+4+8+16+32+64+128+256+512=1023¢

1023¢=1023/100=$10.23

4 0

3 years ago

A person's blood glucose level and diabetes are closely related. Let x be a random variable measured in milligrams of glucose pe

soldier1979 [14.2K]

Using the normal distribution, it is found that:

a) 0.8599 = 85.99% probability that x is more than 60.

b) 0.1788 = 17.88% probability that x is less than 110.

c) 0.6811 = 68.11% probability that x is between 60 and 110.

d) 0.0643 = 6.43% probability that x is greater than 125.

In a normal distribution with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

It measures how many standard deviations the measure is from the mean.
After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

In this problem:

The mean is of 87, thus $\mu = 87$ .
The standard deviation is of 25, thus $\sigma = 25$ .

Item a:

This probability is 1 subtracted by the p-value of Z when X = 60, thus:

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{60 - 87}{25}$

$Z = -1.08$

$Z = -1.08$ has a p-value of 0.1401.

1 - 0.1401 = 0.8599

0.8599 = 85.99% probability that x is more than 60.

Item b:

This probability is the p-value of Z when X = 110, thus:

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{110 - 87}{25}$

$Z = 0.92$

$Z = 0.92$ has a p-value of 0.8212.

1 - 0.8212 = 0.1788.

0.1788 = 17.88% probability that x is less than 110.

Item c:

This probability is the p-value of Z when X = 110 subtracted by the p-value of Z when X = 60.

From the previous two items, 0.8212 - 0.1401 = 0.6811.

0.6811 = 68.11% probability that x is between 60 and 110.

Item d:

This probability is 1 subtracted by the p-value of Z when X = 125, thus:

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{125 - 87}{25}$

$Z = 1.52$

$Z = 1.52$ has a p-value of 0.9357.

1 - 0.9357 = 0.0643.

0.0643 = 6.43% probability that x is greater than 125.

A similar problem is given at brainly.com/question/24863330

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2 years ago

Fifty-four is what % of 60.

Rom4ik [11]

Answer:

I'm pretty sure it's 90%

Step-by-step explanation:

8 0

1 year ago

Read 2 more answers

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There are two true statements:

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V(r(6)) shows that the volume is 972π cubic inches after 6 seconds.

<h3>How to use composition between two function</h3>

Let be f and g two functions, there is a composition of f with respect to g when the domain of f is equal to the range of g. In this question, the domain variable of the function V(r) is replaced by substitution.

If we know that V(r) = (4/3) · π · r³ and r(t) = (1/4) · t², then the composite function is:

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There are two true statements:

When the function is composed with r, the composite function is V(t) = (1/48) · π · t⁶.
V(r(6)) shows that the volume is 972π cubic inches after 6 seconds.

To learn on composition between functions: brainly.com/question/12007574

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1 year ago

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