A blender costs $18 to make and sells for $21.60. find the markup rate.

20 points . I need help with this.

pishuonlain [190]

Answer:

1) 117

2) 51

3) congruent

4) to each other

Step-by-step explanation:

5 0

2 years ago

A line’s equation is given in point-slope form:

Veronika [31]

Answer:

Slope: -3, apparent point: (-1, -2)

Step-by-step explanation:

Point-slope form means the equation of a line is given in the form of y - y1 = m(x - x1), where x1 and y1 are coordinates of a point that lies on the line and m is its slope. Keeping this in mind while looking at the given equation, you can see that -3 is where m goes, meaning the slope is -3. You can also see that 1 and 2 are in the places where - x1 and - y1 go (don't forget those minus signs!) so you take those two and make them an ordered pair for your apparent point of (-1, -2).

8 0

2 years ago

Archaeologists can determine the diets of ancient civilizations by measuring the ratio of carbon-13 to carbon-12 in bones found

Vsevolod [243]

Answer:

Step-by-step explanation:

The null and the alternative hypothesis are:

H₀=μ₀=μ₁=μ₂=μ₃=μ₄

H₁=two or more μ are different X

Let $X_{ij}$ denote the jth observation of the ith sample. The mean and the variance of the ith sample is given by

$Xbar_{i}$ = $\frac{1}{J_{i}} summation(X_{ij})$ where J=1 to $J_{i}$ and $J_{i}$ is ith sample size

$s_{i} ^{2} =\frac{1}{J_{i}-1 }summation (X_{ij} - Xbar_{i})^{2}$

The sample sizes are J₁ =12 J₂=10 J₃=18 J₄=9

the total number in all samples combined is 49

finding Xbar₁ and s₁

Xbar₁= 1÷12(17.2+....+13.4)

Xbar₁= 17.0500

s₁²= 1÷(12-1) [(17.0500-17.2)+...+(17.0500-13.4)]

s₁²=5.1336

Similarly find the means and variances of other samples

$\left[\begin{array}{ccc}i&Mean&variance\\1&17.0500&5.1336\\2&15.4500&13.2317\\3&16.4972&6.9460\\4&15.4444&7.4428\end{array}\right]$

the sample grand mean denoted by Xbar is the average of all sampled items taken together:

Xbar= $\frac{1}{49}$ (17.2+.....+16.7)

Xbar=16.2255

Compute the treatment sum of squares SSTr, the sum of squares SSE and the total sum of squares SST

SSTr = ∑ $J_{i} (Xbar_{i} -Xbar)^{2}$ from i=1 to 49

SSTr= 20.9910

$SSE= \sum\limits^I_{i=1}\sum\limits^{J_i}_{j=1}(Xbar_{ij}-Xbar_i)^{2}$

$SSE=\sum\limits^I_{i=1}(J_i-1)s_i^{2}$

SSE=(12-1)(5.1336)+...(9-1)(7.4428)

SSE=353.1796

SST=SSTr+SSE

SST=374.1706

Find the treatment mean square MSTr and the error mean square MSE:

MSTr= SSTr/(I-1)

MSTr=6.9970

MSE=SSE/(N-I)

MSE=7.8484

$F=\frac{MSTr}{MSE}$

F=0.89

The degrees of freedom are I-1=3 for the numerator and N-I=45 for the denominator. Under H₀, F has an $F_{3,45}$ distribution. To find the P value we consult the F table.

P>0.100

The complete ANOVA table is below

$\left[\begin{array}{cccccc}source&DF&SS&MS&F&P\\Agegroup&3&20.9910&6.9970&0.89&0.453\\Error&45&353.1796&7.8484\\Total&48&374.1706\end{array}\right]$

(b) The P-value is large. A follower of 5% rule would not reject H₀. Therefore, we cannot conclude the concentration ratios differ among the age groups

4 0

3 years ago

2. In the troposphere, as altitude increases, air temperature drops at a relatively uniform rate. At the top of the troposphere,

Eduardwww [97]

11 * 6.5 = 71.5

15 - 71.5 = -56.5

8 0

3 years ago

Explain the difference between the union and intersection of two sets.

MaRussiya [10]

The union of two sets A and B is the set of elements which are in A, in B, or in both A and B. In symbols, . For example, if A = {1, 3, 5, 7} and B = {1, 2, 4, 6} then A ∪ B = {1, 2, 3, 4, 5, 6, 7}.
The intersection of 2 sets depict elements that appear in both sets (all elements in B that also appear in A). In the Venn diagram, the intersection of the sets are always in the middle of both sets. I attached a photo to show you the perfect example of the intersection of sets.
I hope it helps :)

8 0

3 years ago