All categories

2 years ago

Karen is working on her math homework. She solves the equation

Mathematics

1 answer:

Gelneren [198K]2 years ago

5 0

Disagree.
b/8 = 56; multiply both sides by 8 to solve for b, and you get b = 448

You might be interested in

You earn $11 per hour delivering pizzas. you also work part-time at a convenience store where you earn $9 per hour. you want to

scoundrel [369]

We will traduce the sentences into equations.
Let x be the number of hours in the first job, and y be the number of hours in the second job.
Then the equations are:
$x+y\leq25\\11x+9y\geq 150$

The above system has many solution, we can select for example:
x = 1, y = 16. So we can work one hour at the first job and 16 hour at the second job.

7 0

2 years ago

Cora is playing a game that involves flipping three coins at once. Let the random variable HHH be the number of coins that land

arlik [135]

Answer:

0.875

Step-by-step explanation:

P(H=0) = 0.125

P(H=1) = 0.375

P(H=2) = 0.375

P(H=3) = 0.125

P(H<3) = P(H=0) + P(H=1) + P(H=2)

P(H<3) = 0.125 + 0.375 + 0.375

P(H<3) = 0.875

4 0

2 years ago

Read 2 more answers

Compute the least-squares regression line for predicting y from a given the following summary statistics. Round final answers to

qwelly [4]

Answer: Regression line equation: $\hat{y}=-1.008x+39.1704$

Step-by-step explanation:

Equation of least-squares regression line for predicting y :

$\hat{y}=b_1x+b_o$

, where $\text{Slope} (b_1)=r\dfrac{s_y}{s_x}$ , $\text{intercept}(b_0)=\bar{y}-b_1\bar{x}$

Given: $\bar{x}=8.8,\ s_x=1.5,\ s_y=1.8,\ \bar{y}=30.3,\ r=-0.84$

Then,

$b_1=(-0.84)\dfrac{ 1.8}{ 1.5}\\\\\Rightarrow\ b_1=-1.008$

Now,

$b_0=30.3-(-1.008)(8.8)=30.3+8.8704\\\\\Rightarrow\ b_0=39.1704$

Then, Regression line equation: $\hat{y}=-1.008x+39.1704$

6 0

2 years ago

(a) Find a vector-parametric equation r⃗ 1(t)=⟨x(t),y(t),z(t)⟩r→1(t)=⟨x(t),y(t),z(t)⟩ for the shadow of the circular cylinder x2

motikmotik

Answer: (a) r1(t) = <2cost , 0 , 2sint>

(b) <2cost , (1 - 12sint - 10cost)/8 , 2sint>

Step-by-step explanation:

x2+z2=4

Now, in the xz plane, we know that y = 0...

So, x^2 + z^2 = 4 will simply be a circle centered at (0,0)..

This can be easily parameterized as

x = 2cos(t)

z = 2sin(t)

So, the required parameterization is :

r1(t) = <2cost , 0 , 2sint>

Cylinder : x^2 + z^2 = 4

Plane : 5x+8y+6z=1

Easily enough, the x^2 + z^2 = 4 can again be parameterized as

x = 2cost , z = 2sint

With this, we can find y using plane equation...

5x+8y+6z=1

5(2cost) + 8y + 6(2sint) = 1

8y = 1 - 12sint - 10cost

y = (1 - 12sint - 10cost)/8

So, the parameterization is :

<2cost , (1 - 12sint - 10cost)/8 , 2sint>

6 0

2 years ago

Samantha trades through a broker. On December 12, Samantha purchased stock worth $2,500. Later in the day, she sold her stock in

Eddi Din [679]

Answer:

$20

Step-by-step explanation:

Broker's usually take a percentage of the money made or a fixed amount no matter how much is traded.

Here, the broker charges $10 per trade. So, it doesn't matter how much you do trade, the broker will charge $10 PER TRANSACTION.

Samantha bought stocks worth 2500 (1 transaction)

Samantha sold these again for 2750 (1 transaction).

So there were 2 trades made by Samantha.

So broker would charge $10 + $10 = $20

4 0

2 years ago