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Daniel [21]
3 years ago
15

Morgan uses 1/4 of her supply of raisins to make a trail mix and 3/8 of her supply of raisins to make cookies.If Morgan uses 5 p

ounds of raisins, how many pounds of raisins are in her supply.
Mathematics
1 answer:
Elden [556K]3 years ago
3 0
1/4=25%
3/8=37.5%
37.5%+25%=62.5%
62.5%=0.625
5/0.625=8
Morgan has 8 pounds of raisins in her supply.
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School lunches cost ₱35.50 per week. about how much would 15.5 weeks of lunches cost?grade v​
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Which of the following are mathematical sentences? Check all that applu
irina1246 [14]

Answer:

The correct options are:

A, B, and E.

Step-by-step explanation:

A mathematical sentence (or a mathematical statement) is a sentence that can be true or false.

This is the only criteria we need to check, now let's analyze each option.

A: 4 - d = 12

This can be true or false, for example, if d = 0 the sentence is false because:

4 - 0 = 12

4 = 12 is false.

and if d = -8 the sentence is true, because:

4 - (-8) = 12

4 + 8 = 12

12 = 12

is true.

B: 4 - V > 2

This sentence can be true or false, same reasoning as before, we can find values of V such that this is true or false.

C: 3 + 2

Now, here we can't say if this is true or false, so this is not a mathematical sentence.

D: 59

Same as before, this is just a number.

E: 6 + a = 13

This can be true or false, depending on the value of a, then this is a mathematical sentence.

F: 12*x

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The correct options are:

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5 0
2 years ago
The income distribution in a county is a normal distribution with a mean income of $10,000. The top 2.5% of the wage earners ear
earnstyle [38]

Answer:

<em>84%</em><em> of the wage earners earn less than $14,000 each. </em>

Step-by-step explanation:

The Empirical Rule (68-95-99.7%)-

According to this around 95% of the data will fall within two standard deviations of the mean.

As the bell curve is symmetrical, so the remaining 5% will be divided into 2 equal parts. So 2.5% will be above 2 standard deviation and 2.5% will be below 2 standard deviation.

As it is given that, the top 2.5% of the wage earners earn $18,000 or more, so 18,000 is 2 standard deviation away from the mean 10,000.

i.e 2\sigma=18000-10000=8000

\Rightarrow \sigma = 4000

We know that,

Z=\dfrac{X-\mu}{\sigma}

where,

X = raw score = 14,000

μ = 10,000

σ = 4,000

Putting the values,

Z=\dfrac{14000-10000}{4000}=\dfrac{4000}{4000}=1

Now, calculating the value from the z score table,

P(1)=0.8413=84.13\%

As the probability at z=1 is the area below that, so 84% of the wage earners earn less than $14,000 each.

6 0
4 years ago
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