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snow_lady [41]
3 years ago
5

4。 7.28 -4.9_ Find the difference

Mathematics
1 answer:
Iteru [2.4K]3 years ago
7 0

Answer: 119/50 in decimal form 2.38000

Step-by-step explanation: 4.9 can be made to 49/10

 Find the Least Common Multiple

     The left denominator is :       25  

     The right denominator is :       10

Least Common Multiple:

     50

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6 - 2x = 6x = 10 + 6
Natalija [7]

Answer:Simplifying

6 + -2x = 6x + -10x + 6

Reorder the terms:

6 + -2x = 6 + 6x + -10x

Combine like terms: 6x + -10x = -4x

6 + -2x = 6 + -4x

Add '-6' to each side of the equation.

6 + -6 + -2x = 6 + -6 + -4x

Combine like terms: 6 + -6 = 0

0 + -2x = 6 + -6 + -4x

-2x = 6 + -6 + -4x

Combine like terms: 6 + -6 = 0

-2x = 0 + -4x

-2x = -4x

Solving

-2x = -4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '4x' to each side of the equation.

-2x + 4x = -4x + 4x

Combine like terms: -2x + 4x = 2x

2x = -4x + 4x

Combine like terms: -4x + 4x = 0

2x = 0

Divide each side by '2'.

x = 0

Simplifying

x = 0

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
The figure below shows two parallel lines cut by a transversal:
Novay_Z [31]

Answer:

C: They add up to 180 degrees, because they are a pair of supplementary angles

Step-by-step explanation:

<1 and <2 add up to 180 degrees, so they are supplementary angles.

Complementary angles add up to 90 degrees.

7 0
4 years ago
Type the integer that makes the following subtraction sentence true:<br> -57 - ? = -151
posledela

Answer:

94

Step-by-step explanation:

Its pretty simple,

The easiest way to find the missing number is to do 151-57, which = 94

8 0
3 years ago
Four brothers each bought two hot dogs and a bag of chips at the football concession stand. If the bag of chips was $1.25, and t
IRISSAK [1]
Items bought in total:
4 brothers X two hot dogs and one bag of chips=
4X3=
12.

Hot dogs- x, chips- y.
4y + 8x= $18.20

Chips= $1.25 each so
4($1.25) + 8x= $18.20
5 + 8x= $18.20
8x= $18.20-5
8x= $13.20
x= $13.20/8 [13.20 divided by 8]
x= $1.65

This means that one hot dog= $1.65.

If you’re unsure what to write as the answer I’d suggest that you put all the working out down in your copy/notes.
3 0
3 years ago
In college​ basketball, a shot made from beyond a designated arc radiating about 20 ft from the basket is worth three points ins
denis-greek [22]

Answer:

a) By the Central Limit Theorem, the distribution would be approximately normal, with mean \mu = 0.45 and standard deviation s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.45*0.55}{100}} = 0.0497

b) 4.02 standard deviations below the mean.

c) Making 25 or less shots has a pvalue of -4.02. Z-scores lower than -2 are considered surprising, so yes, it would be surprising for him to make only 25 of these shots.

Step-by-step explanation:

To solve this question, we are going to need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For proportions, we have that the mean is \mu = p and the standard deviation is s = \sqrt{\frac{p(1-p)}{n}}

In this problem, we have that:

p = 0.45, n = 100

a)By the Central Limit Theorem, the distribution would be approximately normal, with mean \mu = 0.45 and standard deviation s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.45*0.55}{100}} = 0.0497

b)This is Z when X = 0.25.

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

By the Central Limit Theorem

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

Z = \frac{0.25 – 0.45}{0.0497}

Z = -4.02

4.02 standard deviations below the mean.

c) Making 25 or less shots has a pvalue of -4.02. Z-scores lower than -2 are considered

surprising, so yes, it would be surprising for him to make only 25 of these shots.

3 0
3 years ago
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