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Simora [160]
3 years ago
9

5(x-2)^2-29=-14 what does x equal

Mathematics
1 answer:
eimsori [14]3 years ago
8 0

Answer:

x = 2+\sqrt{3}

Step-by-step explanation:

5(x-2)^2= 15 ←add 29 on both sides

(x-2)^2= 3  ← divide by 5 on both sides

x-2= \sqrt{3}   ← find the sq root of both sides

x= 2+\sqrt{3}   ← add 2 on both sides

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the phrase “is a function of” gets used in non-mathematical speech as well as mathematical mathematical speech in sentences like
Tanya [424]

Answer:

Step-by-step explanation:

This is a very interesting question. I'm going to answer no, but don't take that to mean that the question is not worthwhile. It is.

In math, function has the meaning of considering ordered pairs. Here are 4 such ordered pairs.

(1,2)

(2,4)

(1,-3)

(5,9)

They are really not related to one another except all are ordered pairs.

Here's the math definition. If one of the x values (1,2,1,5) has more than 1 y value, you do not have a function.

1 has 2 y values,  2 and -3. Therefore the 4 points do not form a function

if you change the first (1,__) to 0 and your ordered pair becomes (0,2), all is well and you do have a function.

Whether you understand this or not, you have to see that a math function and a biology function are very different. The math function has numbers and those numbers have to obey a rule.

The biology function seems to be saying that how your mom and dad brought you up will determine what foods you like.

Those two uses are very different. How your mom brought you up is related to food. It could be anything else like "Being a knife carrying gang member is a function of where you live."

4 0
3 years ago
How many times is the image reflected in a 6-sided snowflake?
muminat
A six sided snowflake is reflected about the orgin 4 times 
4 0
3 years ago
Please answer this I don't understand how to do it thanks
Mars2501 [29]

Answer:

The answer is 8.6×10¹⁴

Step-by-step explanation:

You can evaluate it :

(4.3 \times  {10}^{8} ) \times (2.0 \times  {10}^{6} )

= (4.3 \times 2.0) \times ( {10}^{8}  \times  {10}^{6} )

= 8.6 \times  {10}^{8 + 6}

=8.6 \times  {10}^{14}

6 0
3 years ago
Read 2 more answers
Three assembly lines are used to produce a certain component for an airliner. To examine the production rate, a random
Katyanochek1 [597]

Answer:

a) Null hypothesis: \mu_A =\mu_B =\mu C

Alternative hypothesis: \mu_i \neq \mu_j, i,j=A,B,C

SS_{total}=\sum_{j=1}^p \sum_{i=1}^{n_j} (x_{ij}-\bar x)^2 =20.5  

SS_{between}=SS_{model}=\sum_{j=1}^p n_j (\bar x_{j}-\bar x)^2 =12.333  

SS_{within}=SS_{error}=\sum_{j=1}^p \sum_{i=1}^{n_j} (x_{ij}-\bar x_j)^2 =8.16667  

And we have this property  

SST=SS_{between}+SS_{within}  

The degrees of freedom for the numerator on this case is given by df_{num}=df_{within}=k-1=3-1=2 where k =3 represent the number of groups.

The degrees of freedom for the denominator on this case is given by df_{den}=df_{between}=N-K=3*6-3=15.

And the total degrees of freedom would be df=N-1=3*6 -1 =15

The mean squares between groups are given by:

MS_{between}= \frac{SS_{between}}{k-1}= \frac{12.333}{2}=6.166

And the mean squares within are:

MS_{within}= \frac{SS_{within}}{N-k}= \frac{8.1667}{15}=0.544

And the F statistic is given by:

F = \frac{MS_{betw}}{MS_{with}}= \frac{6.166}{0.544}= 11.326

And the p value is given by:

p_v= P(F_{2,15} >11.326) = 0.00105

So then since the p value is lower then the significance level we have enough evidence to reject the null hypothesis and we conclude that we have at least on mean different between the 3 groups.

b) (\bar X_B -\bar X_C) \pm t_{\alpha/2} \sqrt{\frac{s^2_B}{n_B} +\frac{s^2_C}{n_C}}

The degrees of freedom are given by:

df = n_B +n_C -2= 6+6-2=10

The confidence level is 99% so then \alpha=1-0.99=0.01 and \alpha/2 =0.005 and the critical value would be: t_{\alpha/2}=3.169

The confidence interval would be given by:

(43.333 -41.5) - 3.169 \sqrt{\frac{0.6667}{6} +\frac{0.7}{6}}= 0.321

(43.333 -41.5) + 3.169 \sqrt{\frac{0.6667}{6} +\frac{0.7}{6}}=3.345

Step-by-step explanation:

Previous concepts

Analysis of variance (ANOVA) "is used to analyze the differences among group means in a sample".  

The sum of squares "is the sum of the square of variation, where variation is defined as the spread between each individual value and the grand mean"

Part a  

Null hypothesis: \mu_A =\mu_B =\mu C

Alternative hypothesis: \mu_i \neq \mu_j, i,j=A,B,C

If we assume that we have 3 groups and on each group from j=1,\dots,6 we have 6 individuals on each group we can define the following formulas of variation:  

SS_{total}=\sum_{j=1}^p \sum_{i=1}^{n_j} (x_{ij}-\bar x)^2 =20.5  

SS_{between}=SS_{model}=\sum_{j=1}^p n_j (\bar x_{j}-\bar x)^2 =12.333  

SS_{within}=SS_{error}=\sum_{j=1}^p \sum_{i=1}^{n_j} (x_{ij}-\bar x_j)^2 =8.16667  

And we have this property  

SST=SS_{between}+SS_{within}  

The degrees of freedom for the numerator on this case is given by df_{num}=df_{within}=k-1=3-1=2 where k =3 represent the number of groups.

The degrees of freedom for the denominator on this case is given by df_{den}=df_{between}=N-K=3*6-3=15.

And the total degrees of freedom would be df=N-1=3*6 -1 =15

The mean squares between groups are given by:

MS_{between}= \frac{SS_{between}}{k-1}= \frac{12.333}{2}=6.166

And the mean squares within are:

MS_{within}= \frac{SS_{within}}{N-k}= \frac{8.1667}{15}=0.544

And the F statistic is given by:

F = \frac{MS_{betw}}{MS_{with}}= \frac{6.166}{0.544}= 11.326

And the p value is given by:

p_v= P(F_{2,15} >11.326) = 0.00105

So then since the p value is lower then the significance level we have enough evidence to reject the null hypothesis and we conclude that we have at least on mean different between the 3 groups.

Part b

For this case the confidence interval for the difference woud be given by:

(\bar X_B -\bar X_C) \pm t_{\alpha/2} \sqrt{\frac{s^2_B}{n_B} +\frac{s^2_C}{n_C}}

The degrees of freedom are given by:

df = n_B +n_C -2= 6+6-2=10

The confidence level is 99% so then \alpha=1-0.99=0.01 and \alpha/2 =0.005 and the critical value would be: t_{\alpha/2}=3.169

The confidence interval would be given by:

(43.333 -41.5) - 3.169 \sqrt{\frac{0.6667}{6} +\frac{0.7}{6}}= 0.321

(43.333 -41.5) + 3.169 \sqrt{\frac{0.6667}{6} +\frac{0.7}{6}}=3.345

7 0
3 years ago
I need to know how to find angle "H"
vazorg [7]
Check the picture below.  Recall your SOH CAH TOA.

5 0
4 years ago
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