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2 years ago

Answer for 30 points and brainilest

Mathematics

2 answers:

andre [41]2 years ago

7 0

1) 6.43- 6.4
2) 17.19- 17.2
3) 3.751- 3.8
4) 0.5050- 0.5
5) 6.6666- 6.7
6) 37.3274- 37.3
7) 4.9009- 4.9
8) 0.055- 0.1
9) 12.78028- 12.8
10) 4.96- 5.0

I have no idea how you got those other numbers..

Snowcat [4.5K]2 years ago

4 0

Answer:

6.4, 17.2, 3.8, 0.5, 6.7, 37.3, 4.9, 0.1, 12.8, 5.0

Step-by-step explanation:

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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

In ∆MNP, m∠N = 90º, NH – altitude, m∠P = 21º, PM = 4 cm. Find MH.

Sveta_85 [38]

Answer:

0.51 cm

Step-by-step explanation:

In right triangle MNP, MP = 4 cm, m∠N = 90°, m∠P = 21°

By the sine definition,

$\sin \angle P=\dfrac{\text{Opposite leg}}{\text{Hypotenuse}}=\dfrac{MN}{MP}\\ \\MN=MP\sin \angle P\\ \\MN=4\sin 21^{\circ}\approx 1.43\ cm$

Now, consider right triangle HMN (it is right because NH is an altitude). By the cosine definition,

$\cos \angle M=\dfrac{\text{Adjacent leg}}{\text{Hypotenuse}}=\dfrac{MH}{MN}\\ \\MH=MN\cos \angle M$

In the right triangle, two acute angles are always complementary, so

$m\angle M=90^{\circ}-m\angle P=90^{\circ}-21^{\circ}=69^{\circ}$

Thus,

$MH=1.43\cos 69^{\circ}\approx 0.51\ cm$

7 0

2 years ago

Homeroom Data of Tickets Sold:

cricket20 [7]

1. the mean is 16

2. the mean is 22.5

the formula that can be used to calculate the mean is

= sum of terms/number of terms

for the first question the mean can be calculated as follows

sum of terms= 20+15+19+16+10

= 80

number of terms= 5

mean= 80/5

= 16

for the second question the mean can be calculated as follows

sum of terms= 19+23+11+30+27+27+22+26+16+24

= 225

number of terms= 10

mean= 225/10

= 22.5

Hence the mean for the first expression is 16 and the mean for the second expression is 22.5

Please see the link below for more information

brainly.com/question/26159926?referrer=searchResults

8 0

2 years ago

Two opposite sides of a rectangle are each of length x. If the perimeter of the rectangle is 12, then the area, as a function of

Reil [10]

Answer: $x(6-x)$

Step-by-step explanation:

Given : Two opposite sides of a rectangle are each of length x.

Let the other adjacent side be y.

The perimeter of the rectangle is 12 units.

Perimeter of rectangle is given by :-

$P=2(\text{Sum of adjacent sides})\\\\\Rightarrow\ 12=2(x+y)\\\\\Rightarrow\ x+y=\dfrac{12}{2}=6\\\\\Rightarriow\ y=6-x$

The area of rectangle is given by :-

$A=\text{product of two adjacent sides}\\\\\Rightarrow\ A=xy=x(6-x)$

Hence, the area as a function x = $x(6-x)$

7 0

3 years ago

Read 2 more answers

markers are sold in boxes, packs, or as single markers. each box has 10 packs. each pack has 10 markers. draw pictures to show t

kvv77 [185]

Well if packs and boxes cost the same then you can get either one 27 times: 27 * 10 = 270. Then you can get 6 singles to equal 276.

3 0

2 years ago