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2 years ago

Geometric or arithmetic 4,10,16,22

Mathematics

1 answer:

skad [1K]2 years ago

8 0

Answer:

arithmetic

Step-by-step explanation:

An arithmetic sequence has a common difference d between consecutive terms.

22 - 16 = 6

16 - 10 = 6

10 - 4 = 6

A common difference of 6 exists between consecutive terms.

Thus the sequence is arithmetic.

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If -1 and 2 are the two zeros of the polynomial x3-4x2-7x+10 find the third zero

rewona [7]

note that the zeroes should be x = 1 and x = - 2 not x = - 1 and x = 2

the factors are then ( x - 1 ) and (x + 2)

and x³ - 4x² - 7x + 10 = (x - 1 )(x + 2) = x² + x - 2

thus x² + x - 2 is a factor

dividing x³ - 4x² - 7x + 10 by x² + x - 2 gives x - 5

the third zero is x = 5

check : (5)³ -4(5)² - 7(5) + 10 = 125 - 100 - 35 + 10 = 0

5 0

3 years ago

Georgianna claims that in a small city renowned for its music school, the average child takes at least 5 years of piano lessons.

Allisa [31]

Answer:

The condition are

The Null hypothesis is $H_o : \mu = 5$

The Alternative hypothesis is $H_a : \mu < 5$

The check revealed that

There is sufficient evidence to support the claim that in a small city renowned for its music school, the average child takes at least 5 years of piano lessons

Step-by-step explanation:

From the question we are told that

The population mean is $\mu = 5 \ year$

The sample size is n = 20

The sample mean is $\= x = 4.6 \ years$

The standard deviation is $\sigma = 2.2 \ years$

The Null hypothesis is $H_o : \mu = 5$

The Alternative hypothesis is $H_a : \mu < 5$

So i will be making use of $\alpha = 0.05$ level of significance to test this claim

The critical value of $\alpha$ from the normal distribution table is $Z_\alpha = 1.645$

Generally the test statistics is mathematically evaluated as

$t = \frac{\= x - \mu}{ \frac{\sigma }{\sqrt{n} } }$

substituting values

$t = \frac{ 4.6 - 5}{ \frac{2.2}{\sqrt{20} } }$

$t = -0.8131$

Looking at the value of t and $Z_{\alpha }$ we see that $t < Z_{\alpha }$ so we fail to reject the null hypothesis

This implies that there is sufficient evidence to support the claim that in a small city renowned for its music school, the average child takes at least 5 years of piano lessons.

4 0

2 years ago

How many fifths are there in 3⅗

Ilya [14]

Answer:

18/5

Step-by-step explanation:

5 1/5 = 1 thus 3 are 15 + 3 = 18/5

8 0

2 years ago

Read 2 more answers

The polygon is a regular nonagon (9-sides). What is the sum of the interior angles? What is the measurement for each angle?

lana66690 [7]

Divide the nonagon radially into 9 congruent, equilateral isosceles triangle. Each triangle has vertex angle of 360°/9 = 40°.
Interior angle of polygon = 180°-40° = 140°.
Sum of interior angles = 9(140°) = 1260°

6 0

3 years ago

Is it a zero slope when the zero is the numerator of a fraction?? Ex:0/29

Mama L [17]

The numerator is 0, the denominator is -11, the division symbol is -, and the value of the fraction is 0 because the value of the numerator is 0

5 0

3 years ago