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Oliga [24]
3 years ago
5

Subtract 4/5 - 4/7

Mathematics
1 answer:
Bumek [7]3 years ago
6 0

Answer: 4/5 - 4/7 = 8/35

Step-by-step explanation:

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Many experts have argued for the elimination of rote memorization as a method for learning mathematical facts such as basic oper
N76 [4]
I think they should keep it around, even if it might not be the most efficient strategy. After all, what if you need to solve a problem using multiple strategies?
5 0
2 years ago
Calculate the trade discount for 3030 boxes of computer paper if the unit price is ​$14.9314.93 and a single trade discount rate
zhannawk [14.2K]

Answer:

Total trade discount on 30 boxes = $201.555

Step-by-step explanation:

1 box = $14.93

And a trade discount of 45% is allowed on a single box,

Therefore, the discount on one $14.93 box will be

45% × $14.93 = $6.7185

So, if there are now 30 boxes, the trade discount on all 30 boxes will be

30 × (trade discount on one box) = 30 × ($6.7185) = $201.555

Hope this helps!

5 0
2 years ago
Expand this expression (x-y)²<br>​
pochemuha

Answer:

x^2 - 2xy + y^2.

Step-by-step explanation:

(x - y)^2

= (x - y)(x - y)

= x(x -y) - y(x - y)

= x^2 - xy - xy + y^2

= x^2 - 2xy + y^2.

8 0
2 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:

<em>The question is incomplete:</em>

<em>The significance level is 0.05.</em>

<em>The data is:</em>

<em>Brand X: 91, 100, 88, 89</em>

<em>Brand Y: 99, 96, 94, 99</em>

<em>Brand Z: 83, 88, 89, 76</em>

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
Which of the following is equal to 5⁄7? <br> A. 45⁄63<br> B. 54⁄63<br> C. 35⁄63<br> D. 42⁄63
Iteru [2.4K]

\bf \cfrac{45}{63}\implies \cfrac{9\cdot 5}{9\cdot 7}\implies \cfrac{9}{9}\cdot \cfrac{5}{7}\implies 1\cdot \cfrac{5}{7}\implies \cfrac{5}{7}

7 0
2 years ago
Read 2 more answers
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