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2 years ago

The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 152,149,146

Mathematics

1 answer:

Serhud [2]2 years ago

7 0

Answer:

the 30th term is 239

Step-by-step explanation:

The computation of the 30th term is as follows:

As we know that

a_n = a_1 + (n-1)d

where

a_1 is the first number is the sequence

n = the term

And, d = common difference

Now based on this, the 30th term is

= 152 + (30 - 1) × 3

= 152 + 29 × 3

= 152 + 87

= 239

Hence, the 30th term is 239

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The accompanying summary data on total cholesterol level (mmol/l) was obtained from a sample of Asian postmenopausal women who w

dimulka [17.4K]

Answer:

99% CI:

$-4.637\leq\mu_v-\mu_o\leq 3.737$

Step-by-step explanation:

We have to calculate a 99%CI for the difference of means for the vegan and the omnivore.

First, we have to estimate the standard deviation

$s_{Md}=\sqrt{\frac{2MSE}{n_h}}$

The MSE can be calculated as

$MSE=\frac{(SSE_1+SSE_2)}{df} =\frac{(n_1s_1)^2+(n_2*s_2)^2}{n_1+n_2-2}\\\\MSE=\frac{(85*1.05)^2+(96*1.20)^2}{85+96-2}=\frac{7965.56+13272.04}{179} =118.65$

The weighted sample size nh can be calculated as

$n_h=\frac{2}{1/n_1+1/n_2}=\frac{2}{1/85+1/96}=\frac{2}{0.0222} =90.16$

The standard deviation then becomes

$s_{Md}=\sqrt{\frac{2MSE}{n_h}}=\sqrt{\frac{2*118.65}{90.16}}=\sqrt{2.632} =1.623$

The z-value for a 99% confidence interval is z=2.58.

The difference between means is

$\Delta M=M_v-M_o=5.10-5.55=-0.45$

Then the confidence interval can be constructed as

$\Delta M-z*s_{Md}\leq\mu_v-\mu_o\leq \Delta M+z*s_{Md}\\\\ -0.45-2.58*1.623\leq\mu_v-\mu_o\leq -0.450+2.58*1.623\\\\-0.450-4.187\leq\mu_v-\mu_o\leq-0.450+4.187\\\\-4.637\leq\mu_v-\mu_o\leq 3.737$

8 0

2 years ago

Graph the line y=-3x

tino4ka555 [31]

Answer:

Step-by-step explanation:

Graph y = -3x. Start at the origin (0, 0). Place a dark dot there. Now, starting with your pencil point on that dot, move 1 space to the right and from this new point move 3 spaces down. Place a dark dot at this new point.

Now draw a straight line through both dark dots. This is the desired graph.

3 0

3 years ago

Read 2 more answers

To obtain an average (arithmetic mean) of exactly 2/3, what fraction must be added to 1/6, 1/2, and 1/3?

ollegr [7]

Answer:

D. 5/3

Step-by-step explanation:

$\frac{1/6+1/2+1/3+x}{4} =2/3$

$1/6+1/2+1/3+x=8/3$

$x=8/3-1/6-1/2-1/3$

$x=8/3-1/6-3/6-2/6$

$x=8/3-6/6$

$x=16/6-6/6=10/6$

simplified

$x=5/3$

Hope this helps

3 0

1 year ago

Evaluate 8.1p + 7.9 when p = 6 and r = 7

matrenka [14]

Answer:

56.5

Step-by-step explanation:

8 0

2 years ago

Which equation is the inverse of 2(x - 2)2 = 8(7 + y)?

Marina86 [1]

Answer:

The inverse of $2(x - 2)^2 = 8(7 + y)$ is $y=\sqrt{(4x+28)}+2$

Step-by-step explanation:

Given equation : $2(x - 2)^2 = 8(7 + y)$

$\Rightarrow \frac{2(x-2)^2}{8}=7+y\\\Rightarrow \frac{2(x-2)^2}{8}-7=y$

Replace x with y and y with x

So, $\Rightarrow \frac{2(y-2)^2}{8}-7=x\\\Rightarrow \frac{2(y-2)^2}{8}=x+7\\\Rightarrow 2(y-2)^2=8(x+7)\\\Rightarrow (y-2)^2=4(x+7)\\\Rightarrow (y-2)=\sqrt{4(x+7)}\\\Rightarrow y=\sqrt{4(x+7)}+2\\\Rightarrow y=\sqrt{4x+28)}+2$

So, Option C is correct

Hence The inverse of $2(x - 2)^2 = 8(7 + y)$ is $y=\sqrt{(4x+28)}+2$

4 0

2 years ago