Given that r=(9,8,3),v=(6,7,-1)and w=(-3,3,7), evaluate (r+v) w

The options for the first blank are 45, 240, 270, and 315

Schach [20]

Answer:

The solutions are <u>270°</u> and <u>450°</u>.

Step-by-step explanation:

Given:

$cos\frac{x}{2} =\frac{\sqrt{2} }{2}$ .

So, the second and third quadrant angle to be calculated.

$cos\frac{x}{2}=135$

$=x=270$ °.

And, $cos\frac{x}{2}=225$

$=x=450$ °

Therefore, the solutions are <u>270°</u> and <u>450°</u>.

5 0

3 years ago

A random sample of 144 recent donations at a certain blood bank reveals that 81 were type A blood. Does this suggest that the ac

Reptile [31]

Answer:

Null hypothesis: $p=0.4$

Alternative hypothesis: $p \neq 0.4$

$z=\frac{0.5625 -0.4}{\sqrt{\frac{0.4(1-0.4)}{144}}}=3.98$

$p_v =2*P(z>3.98)=0.0000689$

Since the p value is very low compared to the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true percent of people with type A of blood is significantly different from 0.4 or 40%

Step-by-step explanation:

Information given

n=144 represent the random sample taken

X=81 represent the number of people with type A blood

$\hat p=\frac{81}{144}=0.5625$ estimated proportion of people with type A blood

$p_o=0.4$ is the value that we want to verify

$\alpha=0.01$ represent the significance level

z would represent the statistic

$p_v{/tex} represent the p value Hypothesis to testWe want to test if the percentage of the population having type A blood is different from 40%.: Null hypothesis:[tex]p=0.4$

Alternative hypothesis: $p \neq 0.4$

the statistic is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

Replacing the info given we got:

$z=\frac{0.5625 -0.4}{\sqrt{\frac{0.4(1-0.4)}{144}}}=3.98$

Now we can calculate the p value with this probability taking in count the alternative hypothesis:

$p_v =2*P(z>3.98)=0.0000689$

Since the p value is very low compared to the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true percent of people with type A of blood is significantly different from 0.4 or 40%

3 0

3 years ago

What are the dimensions of the product?

Oksi-84 [34.3K]

Answer:

Step-by-step explanation:

Dimensions: m x n

m = number of rows

n = number of columns

When multiplying two matrices:

m x n * n x k = m x k

MATIX 1:

m = number of rows

n = number of columns

MATRIX 2:

n = number of rows

k = number of columns

RESULTING MATIX:

m = number of rows

k = number of columns

2 x 3 * 3 x 2 = 2 x 2

8 0

3 years ago

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Question 5 of 20 :

Rudik [331]

Answer:

Following the rule of BIDMAS

we will solve the one inside the bracket first, Addition will be solved before subtraction

i.e ( 5+4-2) x ( - 2)

= ( 9-2) x (-2)

= 7 x -2

= - 14

Step-by-step explanation:

3 0

3 years ago

How do i solve for the x????

Tpy6a [65]

You could try and multiply I believe so .

5 0

2 years ago

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