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3 years ago

Let vector a={1,1,1} and b={2,-1,-1} the angle between two vectors is

Mathematics

1 answer:

ella [17]3 years ago

5 0

Answer: The answer will probabily be "undfined" or "error"

Step-by-step explanation: firtst u need to find the dot product of both a and b (a.b).

then the magnitude of both (√a ,√b)

then u substitute them into the equation

∅=cos-1(a.b/√a x √b)

u will find it to be error bcoz it will be (0/√3 x 0)

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The circumference of a circle is 60 pi cm. What is the length of an arc of 140 degrees

son4ous [18]

<span>circumference = 60*PI cm
If an arc is 140 degrees of the circle then its length =
</span>
<span>60*PI cm * (140 / 360)
arc length = 23.33333 cm

</span>

8 0

2 years ago

Read 2 more answers

Consider the following hypothesis test: H0: LaTeX: \mu_1-\mu_2=0μ 1 − μ 2 = 0 Ha: LaTeX: \mu_1-\mu_2\ne0μ 1 − μ 2 ≠ 0 The follow

Pavel [41]

Answer:

$z=\frac{104-\bar 106}{\sqrt{\frac{8.4^2}{80}+\frac{7.6^2}{70}}}}=-1.53$

Step-by-step explanation:

Data given and notation

$\bar X_{1}=104$ represent the mean for the sample 1

$\bar X_{2}=106$ represent the mean for the sample 2

$\sigma_{1} =8.4$ represent the population standard deviation for the sample 1

$\sigma_{2}=7.6$ represent the population standard deviation for the sample 2

$n_{1}=80$ sample size for the group 1

$n_{2}=70$ sample size for the group 2

z would represent the statistic (variable of interest)

Concepts and formulas to use

We need to conduct a hypothesis in order to check if the means for the two groups are the same, the system of hypothesis would be:

H0: $\mu_{1}-\mu_{2} =0$

H1: $\mu_{1} -\mu_{2} \neq 0$

If we analyze the size for the samples both are greater than 30 and we know the population deviations so for this case is better apply a z test to compare means, and the statistic is given by:

$z=\frac{\bar X_{1}-\bar X_{2}}{\sqrt{\frac{\sigma^2_{1}}{n_{1}}+\frac{\sigma^2_{2}}{n_{2}}}}$ (1)

z-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.

Calculate the statistic

First we need to calculate the mean and deviation for each sample, after apply the formulas (2) and (3) we got the following results:

And with this we can replace in formula (1) like this:

$z=\frac{104-\bar 106}{\sqrt{\frac{8.4^2}{80}+\frac{7.6^2}{70}}}}=-1.53$

7 0

3 years ago

The dimensions of a small post office are 9 feet 11 inches by 8 feet 2 inches. Why would you use the measurement 9 feet 11 inche

andrey2020 [161]

Answer:

bc thast not a number in the quation therfore you wouldnt use it

Step-by-step explanation:

6 0

2 years ago

Question Help

mina [271]

The answer is 44 and if he deposits it is 33 dollars:

11x4

1x4=4

So 11x4=44

And if he deposits 11 he will have 33

3 0

3 years ago

Keisha makes a large sandwich for a family picnic. She takes 1/2 of the sandwich to the picnic.At the picnic, her family eats 3/

Vesna [10]

1/2 - 3/8 = 4/8 - 3/8 = 1/8
you have to find a common denominator before you can subtract. in this case it is 8

6 0

3 years ago