All categories

3 years ago

one of the fastest times for 1,500-meter race is 3 minutes and 34 seconds. How many seconds is this time?

Mathematics

1 answer:

ra1l [238]3 years ago

5 0

Answer:

214 seconds

Step-by-step explanation:

3 times 60 is 180. 180 plus 34 is 214.

You might be interested in

Part A. Write an equation of a line that is perpendicular to the line y = 2/3x + 5 and passes through the point (4, 0).

fenix001 [56]

Answer:

$y = -\frac{3}{2}x+6$

Step-by-step explanation:

Given:

The given equation of the line $y = \frac{2}{3} x + 5$ that passes through the point (4, 0).

Part A.

The equation of the line.

$y=mx+c$ -----------(1)

Where:

m = Slope of the line

c = y-intercept

The given equation of the line.

$y = \frac{2}{3} x + 5$

Comparing the given equation with equation 1.

The slope of the line is $m=\frac{2}{3}$ and y-intercept $c = 5$

We know that the slope of the perpendicular line is $(-\frac{1}{m})$ .

So the slope of the perpendicular line is $(m=-\frac{1}{\frac{2}{3}}=-\frac{3}{2})$ .

Using point slope formula we write the equation of the perpendicular line that passes through the point (4, 0).

$y-y_{1} = m(x-x_{1}$

Now we substitute the slope of the perpendicular line $m=-\frac{3}{2}$ and $y_{1} = 0, x_{1}=4$ from point (4, 0) in above equation.

$y-0 = -\frac{3}{2}(x-4)$

$y = -\frac{3}{2}x-(-\frac{3}{2}\times 4)$

$y = -\frac{3}{2}x-(-3\times 2)$

$y = -\frac{3}{2}x-(-6)$

$y = -\frac{3}{2}x+6$

Therefore the perpendicular line equation is $y = -\frac{3}{2}x+6$ .

Part B.

1. The slope of the perpendicular line is $m=-\frac{3}{2}$ .

2. The y-intercept of the perpendicular line is 6.

3. The equation of the line $y = -\frac{3}{2}x+6$ is perpendicular to the equation of line $y = \frac{2}{3} x + 5$ .

6 0

3 years ago

FInd the value of x if L, M belongs to line KM

julsineya [31]

Answer:

Step-by-step explanation:

k=k

4 0

3 years ago

Read 2 more answers

Find the value of the variable.

Artist 52 [7]

Answer:

x=8

base side of isosceles triangle

y=√{8²+8²}=8√2

8 0

3 years ago

A clinical trial tests a method designed to increase the probability of conceiving a girl. In the study 370 babies were born, a

kompoz [17]

Answer:

CI=[0.8592,0.9402]

Yes, Method appears to be effective.

Step-by-step explanation:

-We first calculate the proportion of girls born:

$\hat p\frac{x}{n}\\\\=\frac{333}{370}\\\\=0.9$

Since np $\geq 10$ , we assume normal distribution and calculate the 99% confidence interval as below:

$CI=\hat p\pm z\sqrt{\frac{\hat p(1-\hat p)}{n}}\\\\=0.9\pm2.576\sqrt{\frac{0.9\times 0.1}{370}}\\\\=0.9\pm 0.0402\\\\={0.8598, \ 0.9402]$

Hence, the confidence interval is {0.8598, 0.9402]

-The probability of giving birth to a girl is 0.5 which is less than the lower boundary of the confidence interval, it can be concluded that the method appears to be effective.

8 0

3 years ago

PLEASE HELP WILL MARK BRAINLIEST

Harlamova29_29 [7]

WHERES THE QUESTION IT WONT SHOW UP ON MY SCREEN POST IT AGAIN

3 0

3 years ago