Qfind the product. Write the product in simplest form 1 2/3 x 4 2/5

If there are 3 basketballs for every 7 students at Wilder, then how many students are there if the store room has 49 basketballs

Doss [256]

Answer:

113 is correct because 49 divided by 3 is 16.33. 16.33 multiplied by 7 is 113

Step-by-step explanation:

3 0

2 years ago

find the angle between the vectors. (first find the exact expression and then approximate to the nearest degree. ) a=[1,2,-2]. B

SashulF [63]

Answer:

$\theta = cos^{-1} (\frac{10}{\sqrt{9} \sqrt{25}})=cos^{-1} (\frac{10}{15}) = cos^{-1} (\frac{2}{3}) = 48.190$

Since the angle between the two vectors is not 180 or 0 degrees we can conclude that are not parallel

And the anfle is approximately $\theta \approx 48$

Step-by-step explanation:

For this case first we need to calculate the dot product of the vectors, and after this if the dot product is not equal to 0 we can calculate the angle between the two vectors in order to see if there are parallel or not.

a=[1,2,-2], b=[4,0,-3,]

The dot product on this case is:

$a b= (1)*(4) + (2)*(0)+ (-2)*(-3)=10$

Since the dot product is not equal to zero then the two vectors are not orthogonal.

Now we can calculate the magnitude of each vector like this:

$|a|= \sqrt{(1)^2 +(2)^2 +(-2)^2}=\sqrt{9} =3$

$|b| =\sqrt{(4)^2 +(0)^2 +(-3)^2}=\sqrt{25}= 5$

And finally we can calculate the angle between the vectors like this:

$cos \theta = \frac{ab}{|a| |b|}$

And the angle is given by:

$\theta = cos^{-1} (\frac{ab}{|a| |b|})$

If we replace we got:

$\theta = cos^{-1} (\frac{10}{\sqrt{9} \sqrt{25}})=cos^{-1} (\frac{10}{15}) = cos^{-1} (\frac{2}{3}) = 48.190$

Since the angle between the two vectors is not 180 or 0 degrees we can conclude that are not parallel

And the anfle is approximately $\theta \approx 48$

3 0

2 years ago

Further analysis of the data for the breakfast cereals in exercise 46 looked for an assocation between fiber content and calorie

photoshop1234 [79]

Complete Question:

Attached below as picture.

Answer:

From first graph there is no linear pattern so here linearity assumption violated.

From second graph there is observation is in some pattern like funnel or v shape so there is no constant variance occur that is there is no constant variance for error.

Constant variance for error occur when in residual plot all observation are in scatter everywhere.

From third graph we can say there is positive distribution but for regression analysis we need symmetric that is normal distribution.

Step-by-step explanation:

See graphs attached below.