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3 years ago

I need help with this ion understand it

Mathematics

1 answer:

brilliants [131]3 years ago

6 0

Answer:

c. 30

Step-by-step explanation:

Reference angle = $/theta$ = ?

Hypotenuse = 23

Adjacent side = 20

Thus, applying CAH:

$Cos(/theta) = \frac{adj}{hyp}$

$Cos(/theta) = \frac{20}{23}$

$/theta = cos^{-1}(\frac{20}{23})$

$/theta = 29.5918458$ ≈ 30° (nearest degree)

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Find the value of f. What can you do to Both Sides?f - ⅔ = ¼

Thepotemich [5.8K]

Answer:

11/12

Step-by-step explanation:

<h2><u>Value of F </u></h2>

to find the value of f , we need to move the -2/3 to the other side of the equal sign.

$f - \frac{2}{3} = \frac{1}{4}$

<u><em>Note </em></u>: is you move a number from one side of the equal sign to the other, this changes the sign of the number ( eg , -2/3 becomes +2/3)

$f = \frac{1}{4} + \frac{2}{3}$

f = $\frac{11}{12}$

<h3><u>hence the value of f is 11/12 </u></h3>

7 0

3 years ago

What is the mathematical process of parabolas and how do they help us in the real world?

Talja [164]

Answer:

parabolas (quadratic curves)

in the real world -

any trajectory of any item that is thrown on earth can be represented as a quadratic equation.

I do not know what you mean by the mathematical process.

Step-by-step explanation:

7 0

3 years ago

#7 I don't know how to solve this

____ [38]

30+1.95x=7.95x

so, 6x=30

x=5

3 0

3 years ago

A zoologist is studying four very closely related feline species. She wishes to compare their gestation periods. An observationa

diamong [38]

Answer:

$p_v= 0.01$

Since the significance level is 0.05 we see that $pv$ so we have enough evidence to reject the null hypothesis. And the best conclusion for this case would be:

b. at least some, but not all, of the gestation periods across all four species are the same

Because is only to identify if AT LEAST one mean is different, NOT to conclude that the all the means are different.

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"

Solution to the problem

The hypothesis for this case are:

Null hypothesis: $\mu_{A}=\mu_{B}=\mu_{C}= \mu_D$

Alternative hypothesis: Not all the means are equal $\mu_{i}\neq \mu_{j}, i,j=A,B,C,D$

In order to find the mean square between treatments (MSTR), we need to find first the sum of squares and the degrees of freedom.

If we assume that we have $p=4$ groups and on each group from $j=1,\dots,p$ we have $n_j$ individuals on each group we can define the following formulas of variation:

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

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

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

And we have this property

$SST=SS_{between}+SS_{within}$

And in order to test this hypothesis we need to ue an F statistic and for this case the p value calculated is

$p_v= 0.01$

Since the significance level is 0.05 we see that $pv$ so we have enough evidence to reject the null hypothesis. And the best conclusion for this case would be:

b. at least some, but not all, of the gestation periods across all four species are the same

Because is only to identify if AT LEAST one mean is different NOT to conclude that the all the means are different.

8 0

4 years ago

Which shows the equation y – 4 = 2(x + 3) written in standard form? A. –2x + y = 10 B. –2x + y = 7 C. y = 2x + 7 D. y = 2x + 10

stiks02 [169]

Answer:

A. $-2x+y=10$