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gogolik [260]
2 years ago
8

Find a ⋅ b. a = 6i - 6j, b = 4i + 2j

Mathematics
2 answers:
Marat540 [252]2 years ago
7 0

You multiply the two vectors to get an answer of 12.

ivann1987 [24]2 years ago
3 0

Answer:

The value of a \cdot b =12          

Step-by-step explanation:

Given : a = 6i-6j,  b = 4i + 2j

To find : The value of a ⋅ b?

Solution :

We know that, The dot product of two vectors in form

v=ai+bj and w=ci+dj

Then, v \cdot w = ac + bd

Applying the same in the given situation,

a=6 ,b=-6 ,c =4 ,d=2 and v=a , w=b

Substitute in the formula,

a \cdot b = (6)(4) + (-6)(2)

a \cdot b =24-12          

a \cdot b =12

Therefore, The value of a \cdot b =12      

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For the upcoming holiday season, Dorothy wants to mold 20 bars of chocolate into tiny pyramids. Each bar of chocolate contains 6
lorasvet [3.4K]

Answer:

A. 180

Step-by-step explanation:

20*6=120\ in^{3}\ of\ chocolate \\\\\frac{1*1*2}{3} =\frac{2}{3}\ in^{3}\ per\ pyramid\\\\\frac{120}{\frac{2}{3} }\ cubes\\\\\frac{120*3}{2}\ cubes\\\\\frac{360}{2}\ cubes\\\\180\ cubes

7 0
2 years ago
Which score has a higher relative position, a score of 271.2 on a test for which = 240 and , or a score of 63.6 on a test for wh
Fittoniya [83]

Answer:

The score of 271.2 on a test for which xbar = 240 and s = 24 has a higher relative position than a score of 63.6 on a test for which xbar = 60 and s = 6.

Step-by-step explanation:

Standardized score, z = (x - xbar)/s

xbar = mean, s = standard deviation.

For the first test, x = 271.2, xbar = 240, s = 24

z = (271.2 - 240)/24 = 1.3

For the second test, x = 63.6, xbar = 60, s = 6

z = (63.6 - 60)/6 = 0.6

The standardized score for the first test is more than double of the second test, hence, the score from the first test has the higher relative position.

Hope this Helps!!!

3 0
1 year ago
Which is most likely the correlation coefficient for the set of data shown?
mafiozo [28]

That's a really good positive correlation pictured.  The line fits the data very well.  The slope of the line is positive, meaning as x increases so does y.  I'd choose a big positive value.

Answer: 0.872


6 0
2 years ago
Read 2 more answers
Which statement correctly explains how Andre could find the solution to the following system of linear equations using eliminati
grin007 [14]

umm ,this is too long could you maybe putt it in smaller form so I can answer

7 0
1 year ago
Marketing companies have collected data implying that teenage girls use more ring tones on their cell phones than teenage boys d
ASHA 777 [7]

Answer:

The p-value here is 0.0061, which is very small and we have evidence that the girls' mean is higher than the boys' mean.

Step-by-step explanation:

We suppose that the two samples are independent and normally distributed with equal variances. Let \mu_{1} be the mean number of ring tones for girls, and \mu_{2} the mean number of ring tones for boys.

We want to test H_{0}: \mu_{1}-\mu_{2} = 0 vs H_{1}: \mu_{1}-\mu_{2} > 0 (upper-tail alternative).

The test statistic is

T = \frac{\bar{X}_{1}-\bar{X}_{2}-0}{S_{p}\sqrt{1/n_{1}+1/n_{2}}}

where

S_{p} = \sqrt{\frac{(n_{1}-1)S_{1}^{2}+(n_{2}-1)S_{2}^{2}}{n_{1}+n_{2}-2}}.

For this case, n_{1}=n_{2}=20, \bar{x}_{1}=3.2, s_{1}=1.5, \bar{x}_{2}=2.2, s_{2}=0.8.

s_{p} = \sqrt{\frac{(19)(1.5)^{2}+(19)(0.8)^{2}}{38}} = 1.2021 and the observed value is

t = \frac{3.2-2.2}{1.2021\sqrt{1/20+1/20}} = \frac{1}{0.3801} = 2.6309.

We can compute the p-value as P(T > 2.6309) where T has a t distribution with 20 + 20 - 2 = 38 degrees of freedom, so, the p-value is 0.0061. Because the p-value is very small, we can reject the null hypothesis for instance, at the significance level of 0.05.

3 0
1 year ago
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