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Lera25 [3.4K]
3 years ago
9

1.64 as a mixed number in simplest form

Mathematics
2 answers:
aleksklad [387]3 years ago
7 0

1 and 16/25 is 1.64 as a simplified fraction as a mixed number it would be 41/25
garri49 [273]3 years ago
4 0
By taking a look at 1.64, you can already tell the 1 will be the whole number in the fraction. So let's focus on .64. 0.64 is in the hundredths place value, so the denominator will be 100. The unsimplified fraction would be 1 64/100. To put this in simplest form we must divide 64 and 100. Let's start off with 2. 64/2 = 32 100/2 = 50 Let's continue until we can not divide by 2 anymore. 32/2=16 50/2 = 25 We can no longer divide by 2, howver there is not other number we can divide by both 16 and 25 evenly. The answer in simplest form is 1 16/25
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Suppose ACT Composite scores are normally distributed with a mean of 20.6 and a standard deviation of 5.2. A university plans to
zimovet [89]

Answer:

The minimum score required for admission is 21.9.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

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

The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 20.6, \sigma = 5.2

A university plans to admit students whose scores are in the top 40%. What is the minimum score required for admission?

Top 40%, so at least 100-40 = 60th percentile. The 60th percentile is the value of X when Z has a pvalue of 0.6. So it is X when Z = 0.255. So

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

0.255 = \frac{X - 20.6}{5.2}

X - 20.6 = 0.255*5.2

X = 21.9

The minimum score required for admission is 21.9.

8 0
3 years ago
Right now the number 33 and 89 to estimate their sum
ozzi

<span> <span><span>Addition, you can have 89 + 33 = 122 </span>
<span>Commutative Property by moving: 33 + 89 = 122
<span>Associative Property by grouping: (3 + 30) + (80 + 9 ) = 122 </span>
<span>Distributive Property by allotting: 10 (8.9) + 33 = 113   </span>


</span></span> Other examples include:
Addition, you can have 33 +  = 113 </span>
<span>Commutative Property by moving: 107 + 6 = 113 </span>
<span>Associative Property by grouping: (3 + 3) + (100 + 7 ) = 113 </span>
<span>Distributive Property by allotting: 2 (3) + 107 = 113   </span>

<span>Multiplication, you can have 6 x 107 = 642 </span>
<span>Commutative Property by moving: 107 x 6 = 642 </span>
<span>Associative Property by grouping: (3 + 3) x (100 + 7 ) = 642 </span>
<span>Distributive Property by allotting: 2(3) x 107 = 642<span>
</span></span>

4 0
3 years ago
Plz do both plz plz plz
shtirl [24]
The first one is A and the second is either B or D I can’t decide
4 0
3 years ago
If I want to buy a pair of sunglasses and the original price is $120, how much will I pay if they are 50% off? What if they were
gogolik [260]

Answer:

$60, $90

Step-by-step explanation:

Amount paid when 50% off

=$ 120 - 50/100 * 120 = $ 120 - $60 = $60

Amount paid when 25% off

=$ 120 - 25/100 * 120 = $ 120 - $30 = $90

4 0
3 years ago
Find the measures of the interior angles.
3241004551 [841]

Use angle sum property

  • x+68+x-24=180
  • 2x+44=180
  • 2x=136
  • x=68

<A=68

<B=44

<C=68°

7 0
2 years ago
Read 2 more answers
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