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3 years ago

What is the magnitude of the vector (7, -4) to the nearest tenth?

Mathematics

1 answer:

Kobotan [32]3 years ago

8 0

Answer:

Step-by-step explanation:

Apply the Pythagorean Theorem: hyp² = 7² + (-4)² = 49 + 16 = 65.

The magnitude of this vector <7, -4> is 8.1, to the nearest tenth.

You might be interested in

Which graph best represents the following situation?

hichkok12 [17]

Answer:

The correct option is D. The situations x increases, y decreases; r= -0.41 is represented by Graph D.

Step-by-step explanation:

Given information: x increases, y decreases; r= -0.41.

Here r represents the correlation between two variables x and y.

If r is close to -1, then it is strong negative correlation.

If r is close to 1, then it is strong Positive correlation .

If r is close to -0.5, then it is weak negative correlation.

If r is close to 0.5, then it is weak positive correlation .

If r=0, then there is no correlation between x and y.

In graph A, x increases, y decreases and r is close to -1 because it is strong negative correlation.

Therefore option A is incorrect.

In graph B, x increases, y increases and r is close to 0.5 because it is weak positive correlation.

Therefore option B is incorrect.

In graph C, x increases, y increases and r is close to 1 because it is strong positive correlation.

Therefore option C is incorrect.

In graph A, x increases, y decreases and r is close to -0.5 because it is weak negative correlation.

Therefore option D is correct.

4 0

3 years ago

Read 2 more answers

For every watch that Sarah sells, she earns $4. She gets an additional bonus of $50 for every 25 watches she sells. Last month,

kotegsom [21]

Answer:

Step-by-step explanation:

25 watches equals a $50 bonus + 25 * 4

25*4=100

100+50=150

150 can go into 506 three times with a remainder of 56.

since it fits three times that is 75 watches

now divided the remainder by 4 and add this to 75.

56/4=14

75+14=89

89 watches

4 0

3 years ago

Read 2 more answers

Svetach [21]

Answer:

A. b2 – 4ac = 0

Step-by-step explanation:

Hey user☺☺

Option a is correct

Because the graph has only one solution.

As the graph touches the x-axis at one point that means that it will have only one solution for x. But we know that a quadratic equation has two solutions. So the graph will have two equal solution and therefore the discriminant will be 0.

Hope this will help☺☺

5 0

3 years ago

An automobile company wants to determine the average amount of time it takes a machine to assemble a car. A sample of 40 times y

aksik [14]

Answer:

A 98% confidence interval for the mean assembly time is [21.34, 26.49] .

Step-by-step explanation:

We are given that a sample of 40 times yielded an average time of 23.92 minutes, with a sample standard deviation of 6.72 minutes.

Firstly, the pivotal quantity for finding the confidence interval for the population mean is given by;

P.Q. = $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample average time = 23.92 minutes

s = sample standard deviation = 6.72 minutes

n = sample of times = 40

$\mu$ = population mean assembly time

Here for constructing a 98% confidence interval we have used a One-sample t-test statistics because we don't know about population standard deviation.

So, a 98% confidence interval for the population mean, $\mu$ is;

P(-2.426 < $t_3_9$ < 2.426) = 0.98 {As the critical value of z at 1% level

of significance are -2.426 & 2.426}

P(-2.426 < $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ < 2.426) = 0.98

P( $-2.426 \times {\frac{s}{\sqrt{n} } }$ < ${\bar X-\mu}$ < $2.426 \times {\frac{s}{\sqrt{n} } }$ ) = 0.98

P( $\bar X-2.426 \times {\frac{s}{\sqrt{n} } }$ < $\mu$ < $\bar X+2.426 \times {\frac{s}{\sqrt{n} } }$ ) = 0.98

98% confidence interval for $\mu$ = [ $\bar X-2.426 \times {\frac{s}{\sqrt{n} } }$ , $\bar X+2.426 \times {\frac{s}{\sqrt{n} } }$ ]

= [ $23.92-2.426 \times {\frac{6.72}{\sqrt{40} } }$ , $23.92+2.426 \times {\frac{6.72}{\sqrt{40} } }$ ]

= [21.34, 26.49]

Therefore, a 98% confidence interval for the mean assembly time is [21.34, 26.49] .

7 0

3 years ago

What is the area of a rectangle with length 5 inch and width 2.7 inch

Paha777 [63]

The area of the rectangle would be 13.5 inches.

7 0

3 years ago