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babymother [125]

3 years ago

12

Kiley had a piece of bamboo skewer that measured 14Three-fifths inches long. She wanted to cut it into toothpicks that were each

3One-fifth inches long. How many toothpicks can she make?
4 toothpicks
5 toothpicks
46 toothpicks
47 toothpicks

2 answers:

zysi [14]3 years ago

3 0

Answer:

(A) 4 toothpicks I took the test and (A) 4 toothpicks was correct

hope it helps :)

never [62]3 years ago

3 0

Answer:

4

Step-by-step explanation:

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1 point) As reported in "Runner's World" magazine, the times of the finishers in the New York City 10 km run are normally distri

BigorU [14]

Answer:

(a) E (X) = 61 and SD (X) = 9

(b) E (Z) = 0 and SD (Z) = 1

Step-by-step explanation:

The time of the finishers in the New York City 10 km run are normally distributed with a mean,<em>μ</em> = 61 minutes and a standard deviation, <em>σ</em> = 9 minutes.

(a)

The random variable <em>X</em> is defined as the finishing time for the finishers.

Then the expected value of <em>X</em> is:

<em>E </em>(<em>X</em>) = 61 minutes

The variance of the random variable <em>X</em> is:

<em>V</em> (<em>X</em>) = (9 minutes)²

Then the standard deviation of the random variable <em>X</em> is:

<em>SD</em> (<em>X</em>) = 9 minutes

(b)

The random variable <em>Z</em> is the standardized form of the random variable <em>X</em>.

It is defined as: $Z=\frac{X-\mu}{\sigma}$

Compute the expected value of <em>Z</em> as follows:

$E(Z)=E[\frac{X-\mu}{\sigma}]\\=\frac{E(X)-\mu}{\sigma}\\=\frac{61-61}{9}\\=0$

The mean of <em>Z</em> is 0.

Compute the variance of <em>Z</em> as follows:

$V(Z)=V[\frac{X-\mu}{\sigma}]\\=\frac{V(X)+V(\mu)}{\sigma^{2}}\\=\frac{V(X)}{\sigma^{2}}\\=\frac{9^{2}}{9^{2}}\\=1$

The variance of <em>Z</em> is 1.

So the standard deviation is 1.

8 0

3 years ago

vlabodo [156]

According to the given function, it is found that fewer than 38.1% of U.S. voters will use punch cards or lever machines starting from the year of 2004.

<h3>What is the function?</h3>

$P(t) = -2.5t + 63.1$

In which t is the number of years after 1994.

It will be fewer than 38.1% when:

$P(t) < 38.1$

Hence:

$-2.5t + 63.1 < 38.1$

$-2.5t < -25$

$2.5t > 25$

$t > 10$

Fewer than 38.1% of U.S. voters will use punch cards or lever machines starting from the year of 2004.

You can learn more about functions at brainly.com/question/25537936

7 0

2 years ago

2x+5x=100 x intercept

Papessa [141]

This is an equation involving x alone, so the most you can do is solve it:

$2x+5x=100x \iff 7x=100x \iff 0=93x \iff x=0$

3 0

3 years ago

Find dy/dx by implicit differentiation for ysin(y) = xcos(x)

tatyana61 [14]

Answer:

$\frac{dy}{dx}=\frac{\cos(x)-x\sin(x)}{\sin(y)+y\cos(y)}$

Step-by-step explanation:

So we have:

$y\sin(y)=x\cos(x)$

And we want to find dy/dx.

So, let's take the derivative of both sides with respect to x:

$\frac{d}{dx}[y\sin(y)]=\frac{d}{dx}[x\cos(x)]$

Let's do each side individually.

Left Side:

We have:

$\frac{d}{dx}[y\sin(y)]$

We can use the product rule:

$(uv)'=u'v+uv'$

So, our derivative is:

$=\frac{d}{dx}[y]\sin(y)+y\frac{d}{dx}[\sin(y)]$

We must implicitly differentiate for y. This gives us:

$=\frac{dy}{dx}\sin(y)+y\frac{d}{dx}[\sin(y)]$

For the sin(y), we need to use the chain rule:

$u(v(x))'=u'(v(x))\cdot v'(x)$

Our u(x) is sin(x) and our v(x) is y. So, u'(x) is cos(x) and v'(x) is dy/dx.

So, our derivative is:

$=\frac{dy}{dx}\sin(y)+y(\cos(y)\cdot\frac{dy}{dx}})$

Simplify:

$=\frac{dy}{dx}\sin(y)+y\cos(y)\cdot\frac{dy}{dx}}$

And we are done for the right.

Right Side:

We have:

$\frac{d}{dx}[x\cos(x)]$

This will be significantly easier since it's just x like normal.

Again, let's use the product rule:

$=\frac{d}{dx}[x]\cos(x)+x\frac{d}{dx}[\cos(x)]$

Differentiate:

$=\cos(x)-x\sin(x)$

So, our entire equation is:

$=\frac{dy}{dx}\sin(y)+y\cos(y)\cdot\frac{dy}{dx}}=\cos(x)-x\sin(x)$

To find our derivative, we need to solve for dy/dx. So, let's factor out a dy/dx from the left. This yields:

$\frac{dy}{dx}(\sin(y)+y\cos(y))=\cos(x)-x\sin(x)$

Finally, divide everything by the expression inside the parentheses to obtain our derivative:

$\frac{dy}{dx}=\frac{\cos(x)-x\sin(x)}{\sin(y)+y\cos(y)}$

And we're done!

5 0

3 years ago

Write the expression as a single logarithm. <br> pls help me with this problem

DanielleElmas [232]

Answer:

in logarithm + works as a * for numbers with the same bases.

Step-by-step explanation:

4 0

3 years ago

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