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3 years ago

How do you do arc length? Will give brainliest

Mathematics

1 answer:

BlackZzzverrR [31]3 years ago

4 0

L=2piR(m/360). so your leangth will equal 2×pi×radius×your angle degree over 360°. hope that helps

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In a completely randomized experimental design, three brands of paper towels were tested for their ability to absorb water. Equa

arlik [135]

Answer:

Yes. At this significance level, there is evidence to support the claim that there is a difference in the ability of the brands to absorb water.

Step-by-step explanation:

The question is incomplete:

The significance level is 0.05.

The data is:

Brand X: 91, 100, 88, 89

Brand Y: 99, 96, 94, 99

Brand Z: 83, 88, 89, 76

We have to check if there is a significant difference between the absorbency rating of each brand.

Null hypothesis: all means are equal

$H_0:\mu_x=\mu_y=\mu_z$

Alternative hypothesis: the means are not equal

$H_a: \mu_x\neq\mu_y\neq\mu_z$

We have to apply a one-way ANOVA

We start by calculating the standard deviation for each brand:

$s_x^2=30,\,\,s_y^2=6,\,\,s_z^2=35.33$

Then, we calculate the mean standard error (MSE):

$MSE=(\sum s_i^2)/a=(30+6+35.33)/3=71.33/3=23.78$

Now, we calculate the mean square between (MSB), but we previously have to know the sample means and the mean of the sample means:

$M_x=92,\,\,M_y=97,\,\,M_z=84\\\\M=(92+97+84)/3=91$

The MSB is then:

$s^2=\dfrac{\sum(M_i-M)^2}{N-1}\\\\\\s^2=\dfrac{(92-91)^2+(97-91)^2+(84-91)^2}{3-1}\\\\\\s^2=\dfrac{1+36+49}{2}=\dfrac{86}{2}=43\\\\\\\\MSB=ns^2=4*43=172$

Now we calculate the F statistic as:

$F=MSB/MSE=172/23.78=7.23$

The degrees of freedom of the numerator are:

$dfn=a-1=3-1=2$

The degrees of freedom of the denominator are:

$dfd=N-a=3*4-3=12-3=9$

The P-value of F=7.23, dfn=2 and dfd=9 is:

$P-value=P(F>7.23)=0.01342$

As the P-value (0.013) is smaller than the significance level (0.05), the null hypothesis is rejected.

There is evidence to support the claim that there is a difference in the ability of the brands to absorb water.

3 0

3 years ago

How to solve -8+squre root (5a-5)=-3

sertanlavr [38]

Answer:

$a=6$

Step-by-step explanation:

Given equation:

$-8+\sqrt{5a-5}=-3$

Solving for unknown variable $a$

Adding 8 both sides by additive property of equality.

$+8-8+\sqrt{5a-5}=-3+8$

$\sqrt{5a-5}=5$

Squaring both sides to remove the square root.

$(\sqrt{5a-5})^2=5^2$

$5a-5=25$

Adding 5 both sides by additive property of equality.

$5a-5+5=25+5$

$5a=30$

Dividing both sides by 6 to isolate $a$

$\frac{5a}{5}=\frac{30}{5}$

∴ $a=6$

8 0

3 years ago

Geometry proofs. Prove Angle B = Angle C

koban [17]

Answer: It is vertical

Step-by-step explanation:

8 0

2 years ago

Triangle ABC is an isosceles triangle, and side BC is congruent to side AC. If side AC equals 40 centimeters, and AB is one-half

Alik [6]

Answer:

100 cm

Step-by-step explanation:

Given:

AC = BC

AC = 40

2AB=AC

Simplify:

BC = 40

Simplify:

2AB = 40

Algebra:

AB = 20

Here's the sides:

AB = 20

AC = 40

BC = 40

Add all of them together:

100

8 0

2 years ago

PLEASE HELP QUICK! 50 POINTS IF YOU HELP!!

babunello [35]

Answer:

Assuming the graphs are abcd, 1 is b, 2 is c, 3 is a, and 4 is d.

Step-by-step explanation:

7 0

2 years ago