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3 years ago

6-(666+987889879878)

Mathematics

2 answers:

Anni [7]3 years ago

7 0

Answer:

-987889880538

Step-by-step explanation:

Hope this helped. Have a great day☺

melisa1 [442]3 years ago

3 0

Answer:

−987889880538

Step-by-step explanation:

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During the walk-a-thon, brian walks 3 and one fourth kilometers, and Stacy walks 2 and seven eighths kilometers. How many more k

BARSIC [14]

Answer:

3/8 or three eighths

8 0

3 years ago

Trisha is taking care of the Han family's dogs.The Hans leave 7 cans of dog food for the 3days they'll be away.How much food wil

Verdich [7]

Answer:

2 1/3 food

Step-by-step explanation:

Cans of dog food = 7

Number of days = 3

If Trisha feeds them an equal amount each day, then each day the dogs will get:

$\frac{7}{3}=2\frac{1}{3}$ food

7 0

3 years ago

Find the parametric equations for the line that passes through the points P (1,1,0) and Q (0,2,2).

sp2606 [1]

Answer:

The parametric equations for the given line are x=1-t, y=1+t and z=2t.

Step-by-step explanation:

Given information: P (1,1,0) and Q (0,2,2).

The parametric equation of line are

$x=x_0+at$

$y=y_0+bt$

$z=z_0+ct$

where, $(x_0,y_0,z_0)$ is point on line and <a,b,c> is direction vector.

The line passes through the points P (1,1,0) and Q (0,2,2). So, the direction vector is

$\overrightarrow{v}=$

The direction vector is <-1,1,2>. So, a=-1, b=1 and c=2. The parametric equation of line are

$x=1+(-1)t=1-t$

$y=1+(1)t=1+t$

$z=0+(2)t=2t$

Therefore the parametric equations for the given line are x=1-t, y=1+t and z=2t.

5 0

3 years ago

For what values of θ is sinθ < cosθ when 0 ≤ θ < π ?

zysi [14]

<h3>Answer: $0 \le \theta < \frac{\pi}{4}$ </h3>

=========================================================

How to get this answer:

Use the unit circle to note that $\sin\theta = \cos\theta = \frac{\sqrt{2}}{2}$ when $\theta = \frac{\pi}{4}$ (aka 45 degrees)

Beyond this point, cosine is smaller than sine. This means that anything from 0 to pi/4 will have sine be smaller than cosine. It might help to graph y = sin(x) and y = cos(x) on the interval from x = 0 to x = pi.

The two curves y = sin(x) and y = cos(x) intersect at the point $\left(\frac{\pi}{4}, \frac{\sqrt{2}}{2}\right)$

-------------------------------

Here's a more detailed picture of whats going on.

$\sin \theta < \cos \theta\\\\\sin \theta < \sqrt{1-\sin^2\theta}\\\\\sin^2 \theta < 1-\sin^2\theta \\\\2\sin^2 \theta < 1\\\\\sin^2 \theta < \frac{1}{2}\\\\\sin \theta < \sqrt{\frac{1}{2}}\\\\\sin \theta < \frac{1}{\sqrt{2}}\\\\\sin \theta < \frac{\sqrt{2}}{2}\\\\\theta < \arcsin\left(\frac{\sqrt{2}}{2}\right)\\\\\theta < \frac{\pi}{4}\\\\$

Intersect the intervals $0 \le \theta < \pi$ and $\theta < \frac{\pi}{4}$ and you'll end up with the final answer $0 \le \theta < \frac{\pi}{4}$

4 0

3 years ago

Suppose a normal distribution has a mean of 98 and a standard deviation of 6. What is P(x<110)? (The greater than sign is act

kvasek [131]

Using the normal distribution, the probability that x is less than 110 is:

A. 0.975.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean $\mu$ and standard deviation $\sigma$ is given by:

$Z = \frac{X - \mu}{\sigma}$

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given as follows:

$\mu = 98, \sigma = 6$

The probability is the <u>p-value of Z when X = 110</u>, hence:

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{110 - 98}{6}$

Z = 2

Z = 2 has a p-value of 0.975.

Hence option A is correct.

More can be learned about the normal distribution at brainly.com/question/15181104

#SPJ1

5 0

2 years ago