Callan goes for a hike every Saturday. Callan hikes at a rate of 333 miles per hour.

the chef is making 10.5 batches of dinner rolls. For each batch, he kneaded dough for 0.7 and let the dough rest for 1.6 hours.

Sergeeva-Olga [200]

Answer: 2.7 hours

Step-by-step explanation:

Hi, to answer this question we simply have to calculate the amount of time that takes making one batch of dinner rolls, by adding the individual times of, kneading, resting and baking.

Mathematically speaking

0.7 hours +1.6 hours +0.4 hours = 2.7 hours

It takes 2.7 hours to make each batch of dinner rolls.

6 0

2 years ago

Sam works as a baggage carrier at an airport facility. He owes a certain amount of money, in dollars, to his friend Daniel. The

Ivenika [448]

Y = 12x - 40

the x variable represents the number of hours Sam works at the airport
the y value represents the amount in dollars that Sam has after paying Daniel
the 12 is the amount in dollars that Sam earns per hr
the 40 is the amount in dollars Sam owes Daniel

7 0

2 years ago

There are 100 freshman students at a school. The probability that a freshman plays a sport is 0.55. The probability that a fresh

Lina20 [59]

The probability that a freshman student at this school plays either a sport or a musical instrument is 0.74

Step-by-step explanation:

The addition rules in probability are:

P(A or B) = P(A) + P(B) ⇒ mutually exclusive (events cannot happen at the same time)
P(A or B) = P(A) + P(B) - P(A and B) ⇒ non-mutually exclusive (if they have at least one outcome in common)

∵ The probability that a freshman plays a sport is 0.55

∴ P(sport) = 0.55

∵ The probability that a freshman plays a musical instrument is 0.34

∴ P(music) = 0.34

∵ The probability that a freshman plays both a sport and a musical

instrument is 0.15

∴ P(sport and music) = 0.15

To find the probability that freshman student at this school plays either a sport or a musical instrument use the second rule above because it is non-mutually exclusive

∵ P(sport or music) = P(sport) + P(music) - P(sport and music)

∴ P(sport or music) = 0.55 + 0.34 - 0.15

∴ P(sport or music) = 0.74

The probability that a freshman student at this school plays either a sport or a musical instrument is 0.74

Learn more:

You can learn more about the probability in brainly.com/question/9178881

#LearnwithBrainly

5 0

2 years ago

Find the equation of the plane through the point (2,5,7) that is parallel to the line r=(3i+2j−2k)+t(i+2j+9k) and perpendicular

insens350 [35]

The plane we want to find has general equation

$a(x-2)+b(y-5)+c(z-7)=0$

with $a,b,c$ not equal to 0, and has normal vector

$\vec n=a\,\vec\imath+b\,\vec\jmath+c\,\vec k$

$\vec n$ is perpendicular to both the normal vector of the other plane, which is $4\,\vec\imath+5\,\vec\jmath+6\,\vec k$ , as well as the tangent vector to the line $\vec r(t)$ , which is $\vec\imath+2\,\vec\jmath+9\,\vec k$ .

This means the dot product of $\vec n$ with either vector is 0, giving us

$\begin{cases}4a+5b+6c=0\\a+2b+9c=0\end{cases}$

Suppose we fix $c=1$ . Then the system reduces to

$\begin{cases}4a+5b=-6\\a+2b=-9\end{cases}$

and we get

$(4a+5b)-4(a+2b)=-6-4(-9)\implies-3b=30\implies b=-10$

$a+2(-10)=-9\implies a=11$

Then one equation for the plane could be

$\boxed{11(x-2)-10(y-5)+(z-7)=0}$

or in standard form,

$\boxed{11x-10y+z=-21}$

The solution is unique up to non-zero scalar multiplication, which is to say that any equation $(11x-10y+z)k=-21k$ would be a valid answer. For example, suppose we instead let $c=2$ ; then we would have found $a=22$ and $b=-20$ , but clearly dividing both sides of the equation