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3 years ago

How many integers between 14 and 3,452 can be divided by 42 with a remainder of zero?

1 answer:

4 0

_______
42 I 3,452

82 with a remainder

There are <u>82</u> integers between 14 and 2452 that can be divided with a remainder of 0

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4x+15=6x-5 solve for x

hram777 [196]

Answer:

x = 10

Step-by-step explanation:

Breaking down the equation

$4x+15=6x-5\\4x+15-15=6x-5-15\\4x=6x-20\\4x-6x=6x-20-6x\\-2x=-20\\\frac{-2x}{-2}=\frac{-20}{-2}$

Simplification

$\frac{-2x}{-2}\\=\frac{2x}{2} (\frac{-x}{-y} = \frac{x}{y})\\\frac{2}{2} = 1 = x\\\\\frac{-20}{-2}\\=\frac{20}{2}\\\frac{20}{2}\\=10$

6 0

2 years ago

Read 2 more answers

You want to test the claim that the average age of students at Gorka College is greater than the average age of students at Yapo

777dan777 [17]

Answer:

Kindly check explanation

Step-by-step explanation:

The hypothesis :

H0 : μ1 = μ2

H1 : μ1 > μ2

Given :

x1 = 21.1 ; n1 = 53 ; s1 = 1.1

x2 = 20.7 ; n2 = 46 ; s2 = 1.2

The test statistic :

(x1 - x2) / √[(s1²/n1 + s2²/n2)]

(21.1 - 20.7) / √[(1.1²/53 + 1.2²/46)]

0.4 / 0.2326682

Test statistic = 1.719

The degree of freedom using the conservative method :

Comparing :

Degree of freedom = n - 1

Degree of freedom 1 = 53 - 1 = 52

Degree of freedom 2 = 46 - 1 = 45

Smaller degree of freedom is chosen ;

The Pvalue from Test statistic, using df = 45

Pvalue = 0.0462

Pvalue < α ; Hence, there is significant evidence to conclude that average age of Gorka student is higher than Yaphoa.

7 0

2 years ago

In a history class, students take a weekly multiple choice quiz consisting of 6 questions, each with 4 possible answers. if a st

Mademuasel [1]

There are 24 possible answers, 6 are correct answers and 18 are incorrect answers. By use of the hypergeometric distribution the probabilities of each possible number of randomly selected correct answers can be found, as follows:
P(0) = 0.1379, P(1) = 0.3819, P(2) = 0.341, P(3) = 0.1213, P(4) = 0.017, P(5) = 0.0008, P(6) = 0.000007.
The expected or mean number of correct answers is found from:
$E(X)=0\times0.1379+1\times0.3819+2\times0.341+3\times0.1213+4\times0.017$ $+5\times0.0008+6\times0.000007=1.4998$
The answer is: 1.4998

8 0

3 years ago

DINING OUT Trevor and Michelle's restaurant bill comes to $35.50. They are planning to tip the waiter 12%.How much money should

Rzqust [24]

Answer:

4.26

Step-by-step explanation:

move the decimal twice to the left then multiply it by the total price

4 0

3 years ago

Read 2 more answers

Does anyone know this?

lana66690 [7]

Answer:

Δ HGI ≅ ΔEDF

Step-by-step explanation:

Given:

Δ DEF ≅ Δ GHI

From the given congruence statement we can figure out the corresponding sides that are congruent.

The arrangement shows:

$D\rightarrow G\\E\rightarrow H\\F\rightarrow I$

So the rearranged statement can be written as:

ΔEDF ≅ Δ HGI

∴ Δ HGI ≅ ΔEDF

8 0

3 years ago