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3 years ago

A) 60 B) 120 C) 30 D) 90

Mathematics

1 answer:

melamori03 [73]3 years ago

3 0

Answer:

The answer would be B) 120

Step-by-step explanation:

In the triangle with angle 2 and 3, it has a right angle in it, making angle 2 and 3 added together 90 degrees. But you have to figure out what angle 2 and 3 equal. Well the whole triangle is equilateral, making all three angles equal to 60 degrees. Angle 3 is half of 60 degrees because it is split by the dotted line. This makes angle 3 equal to 30 degrees. Now you can find the measure of angle 2. 30(angle 3) plus 90(right angle) equals 120 degrees. This makes angle 2 equal to 60 degrees. In this image, angle 2 is half of angle 1. So angle one is equal to 120 degrees. I hope this helps.

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Answer and explanation

docker41 [41]

Answer:

392in

Step-by-step explanation:

find the areas of all the sides of this shape. Of one you might have to split it into two shpaes.

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3 years ago

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

Find the greatest four digit square number by division method

Agata [3.3K]

9999 is largest 4 digit number, and 100^2 is 10000, or 1 greater than the largest 4 digit number. This means that the closest square root of the largest perfect square is most likely 99. So 99^2 (9801)is the largest perfect square of four digits.

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3 years ago

-1/6 + ( -3/7) = A. -25/42 B. -4/13 C. 11/42 D. 2/13

alekssr [168]

Answer: the anwser is A

Step-by-step explanation:

I used a calculator lol

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Whats the volume of the prism please show work‼️

attashe74 [19]

Answer:

Step-by-step explanation:

Volume of a prism:

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