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2 years ago

Factor and solve the equation

Mathematics

1 answer:

murzikaleks [220]2 years ago

8 0

$y=4x^2-64=4(x^2-16)=4(x^2-4^2)=4(x-4)(x+4)\\\\-------------------------------\\\\4(x-4)(x+4)=0\iff x-4=0\ or\ x+4=0\\\\x=4\ or\ x=-4$

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Emma has 18 yellow flowers and 30 white flowers. She wants to split them into vases in equal groups. What is the largest number

likoan [24]

Answer:

Flowers, yellow flowers, white flowers, group, GCF

For this case we have 18 yellow flowers and 30 white flowers, we must find a number that represents the largest number of groups of flowers that can be formed, bearing in mind that each group must contain the same number of yellow and white flowers. To do this, we must find the GCF (Greatest Common Factor) of yellow flowers and white flowers.

We look for the factors of 18, that is, the numbers for which 18 is divisible, these are:

18, 9, 6, 3, 2 and 1

We look for the factors of 30, that is, the numbers for which 30 is divisible, these are:

30, 15, 10, 6, 5, 3, 2, 1

Thus, we can see that GCF of both numbers is 6.

Then we can form 6 groups of flowers. To know the amount of flowers of each color in each group, we divide:

Thus, 6 groups of flowers can be formed with 3 yellow flowers and 5 white flowers each.

Answer:

The largest number of groups that can be done is 6.

Read more on Brainly.com - brainly.com/question/950582#readmore

Step-by-step explanation:

4 0

2 years ago

Mrs. Smith gave two classes the same quiz. She randomly selected 5 students from each class to compare the classes. The scores o

Tasya [4]

The mean and range for class A are 84.4 and 20 while the mean and range for class B are 83.6 and 8. Class B is more consistant then class A.

<h3>How to calculate the mean?</h3>

We can see from the data that the consistency of class B is more becuase the repeatation of the same score is more in class B then class A and the range of class B is also less then the class A.

It should be noted that mean simply means average. It's the addition of the numbers divided by the total numbers.

In this case, the computation will be:

Class A: Mean = 422/5= 84.4.

Range: 94-74 = 20

Class B: Mean = 418/5 = 83.6.

Range= 88-80 = 8

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4 0

1 year ago

A random sample of 87 eighth grade students’ scores on a national mathematics assessment

Finger [1]

There is not enough evidence to support the administrator’s claim and the true mean is not significantly greater than 280.

<h3>What is a statistical hypothesis?</h3>

A hypothesis to test the given parameters requires that we determine if the mean score of the eighth graders is more than 283, thus:

The null hypothesis:

$\mathbf{H_o \leq 283}$

The alternative hypothesis:

$\mathbf{H_i > 283}$

From the population deviation, the Z test for the true mean can be computed as:

$\mathbf{Z = \dfrac{\hat X - \mu _o}{\dfrac{\sigma}{\sqrt{n}}}}$

$\mathbf{Z = \dfrac{283 -280}{\dfrac{37}{\sqrt{87}}}}$

Z = 0.756

Note that, since we are carrying out a right-tailed test, the p-value for the test statistics is expressed as follows:

P(z > 0.756)

P = 0.225

Since the P-value is greater than the significance level at α = 0.14, we can conclude that there is not enough evidence to support the administrator’s claim and the true mean is not significantly greater than 280.

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8 0

1 year ago

A container full of water weighs 15.5 lbs. When ¼ of the water is poured out, the container now weighs 12 ½ lbs. How much does t

posledela

Answer:

3.5 lbs.

Step-by-step explanation:

1/4 of the water is dumped, meaning that is 3 lbs. 1/4 is 3 lbs. 3x4 is 12. 15.5 - 12 = 3

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2 years ago

How many ways can the numbers 1-100 be arranged

ra1l [238]

Answer: 5 times

Step-by-step explanation:

6 0

2 years ago