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3 years ago

Answer pls. question in photo

Mathematics

2 answers:

Artist 52 [7]3 years ago

6 0

Here is the step by step answer.

Deffense [45]3 years ago

4 0

%41

• %15 percent raise to 2,000 is 2,300

• 943 is %41 percent of 2,300

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Write the equation of 4x+5t=20 in slope-intercept form

Aleonysh [2.5K]

Answer:

y=(-4/5)x+4

Step-by-step explanation:

4x+5y=20

5y=-4x+20

y=(-4/5)x+4

4 0

3 years ago

Read 2 more answers

X +5+11x=12x+Y It says find the value of y that makes each equation true for all values of

sladkih [1.3K]

X + 5 + 11x = 12x + y

Simplify: 12x + 5 = 12x + y (We are adding x and 11x on the left side)

Subtract 12x from each side makes each zero.

5 = y

So we can plug in and test. I'm picking two random numbers to plug in for x. 10, and 82

x = 10, y = 5
10 + 5 + 11(10) = 12(10) + 5
125 = 125

x = 82, y = 5
82 + 5 + 11(82) = 12(82) + 5
989 = 989

So we verified y = 5

3 0

3 years ago

What is 1.06 as a mixed number in simplest form?

Maru [420]

Okay so you have the question What is 1.06 as a mixed number in simplest form?
So, let us begin okay so 1.06 = 106/100 which then we will simplify to 53/50 and then you can simplify it one more time all the way down to it's simplest form of 1 3/50

Hope i helped
Cheers,
Belive1234

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3 years ago

Read 2 more answers

Slope of 1,-7 and -3-4

3241004551 [841]

$\large \mathfrak{Solution : }$

Slope of the given line is :

$\dfrac{y_2 - y_1}{x_2 - x_1}$

where ,

$x_2 = 1$

$x_1 = - 3$

$y_2 = - 7$

$y_1 = - 4$

let's solve :

$\dfrac{ - 7 - ( - 4)}{1 - ( - 3)}$

$\dfrac{ - 3}{4}$

Slope = -3 / 4

4 0

2 years ago

The scores of students on the ACT college entrance exam in a recent year had the normal distribution with mean  =18.6 and stand

Maurinko [17]

Answer:

a) 33% probability that a single student randomly chosen from all those taking the test scores 21 or higher.

b) 0.39% probability that the mean score for 76 students randomly selected from all who took the test nationally is 20.4 or higher

Step-by-step explanation:

To solve this question, we 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 random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sample means with size n of at least 30 can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$

In this problem, we have that:

$\mu = 18.6, \sigma = 5.9$

a) What is the probability that a single student randomly chosen from all those taking the test scores 21 or higher?

This is 1 subtracted by the pvalue of Z when X = 21. So

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

$Z = \frac{21 - 18.6}{5.4}$

$Z = 0.44$

$Z = 0.44$ has a pvalue of 0.67

1 - 0.67 = 0.33

33% probability that a single student randomly chosen from all those taking the test scores 21 or higher.

b) The average score of the 76 students at Northside High who took the test was x =20.4. What is the probability that the mean score for 76 students randomly selected from all who took the test nationally is 20.4 or higher?

Now we have $n = 76, s = \frac{5.9}{\sqrt{76}} = 0.6768$