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3 years ago

Enter the common ratio for the geometric sequence below.

Mathematics

1 answer:

Sav [38]3 years ago

6 0

Answer:

r = $\frac{3}{2}$

Step-by-step explanation:

The common ratio (r) in a geometric sequence is any term divided by the previous term, that is

r = $\frac{6}{4}$ = $\frac{9}{6}$ = $\frac{3}{2}$

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What value represents the number of ways in which the expected classes are free to vary in the chi-square goodness-of-fit test?

Ket [755]

In statistics, the number of degrees of freedom is the number of values in the final calculation of a statistic that are free to vary.

The number of independent ways by which a dynamic system can move, without violating any constraint imposed on it, is called number of degrees of freedom. In other words, the number of degrees of freedom can be defined as the minimum number of independent coordinates that can specify the position of the system completely.

The degree of freedom represents the number of ways in which the expected classes are free to vary in the chi-square goodness-of-fit test.

8 0

3 years ago

2(x-3)-8< -4 I need a explanation and the answer please.

tresset_1 [31]

Answer:

The solution to the inequality is:

$x$

The number line solution graph is also attached below.

Step-by-step explanation:

Given the inequality

$2(x-3)-8< -4$

Add 8 to both sides

$2\left(x-3\right)-8+8$

$2\left(x-3\right)$

Divide both sides by 2

$\frac{2\left(x-3\right)}{2}$

$x-3$

Add 3 to both sides

$x-3+3$

$x$

Thus, the solution to the inequality is:

$x$

The number line solution graph is also attached below.

6 0

3 years ago

How to graph this slop (put a pic if u can )pls help due at 11

poizon [28]

Answer:

hopes this help luv <3

Step-by-step explanation:

5 0

3 years ago

Suppose that in a random selection of 100 colored candies, 28% of them are blue. The candy company claims that the percentage

Zigmanuir [339]

Answer:

We conclude that the percentage of blue candies is equal to 29%.

Step-by-step explanation:

We are given that in a random selection of 100 colored candies, 28% of them are blue. The candy company claims that the percentage of blue candies is equal to 29%.

Let p = population percentage of blue candies

So, Null Hypothesis, $H_0$ : p = 29% {means that the percentage of blue candies is equal to 29%}

Alternate Hypothesis, $H_A$ : p $\neq$ 29% {means that the percentage of blue candies is different from 29%}

The test statistics that will be used here is One-sample z-test for proportions;

T.S. = $\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = sample proportion of blue coloured candies = 28%

n = sample of colored candies = 100

So, the test statistics = $\frac{0.28-0.29}{\sqrt{\frac{0.29(1-0.29)}{100} } }$

= -0.22

The value of the z-test statistics is -0.22.

Also, the P-value of the test statistics is given by;

P-value = P(Z < -0.22) = 1 - P(Z $\leq$ 0.22)

= 1 - 0.5871 = 0.4129

Now, at a 0.10 level of significance, the z table gives a critical value of -1.645 and 1.645 for the two-tailed test.

Since the value of our test statistics lies within the range of critical values of z, so we insufficient evidence to reject our null hypothesis as it will not fall in the rejection region.

Therefore, we conclude that the percentage of blue candies is equal to 29%.

4 0

3 years ago

2. The sum of two integers is 74. The larger is 26 more than twice the smaller. Find the two integers.

kompoz [17]

74=x+y is the equation at the beginning we will say that x is the smaller number and y is the larger one. Now we substitute the larger number (y) for 26+2x. Plug that into the beginning equation to get 74= x+ 26+2x. Now solve.
74=3x+26
48=3x
16=x
So we know that our smaller number is 16. To find the larger number we plug the value of the smaller number into the equation for the larger number like this.
y=26+2x
y=26+2(16)
y=26+32
y=58.
So to check our answer we can plug in both values into the beginning equation.
74=58+16
74=74.
So to sum this up the smaller number is 16 and the larger number is 58.

4 0

3 years ago