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3 years ago

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Cashews cost $4 per pound and peanuts cost $2.50 per pound. If you mix 4 pounds of cashews and 4 pounds of peanuts, what is the

total cost of one pound of the mixture?

1 answer:

SCORPION-xisa [38]3 years ago

6 0

$6.50 per pound $4.00 +$2.50=$6.50

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Automobile racing, high-performance driving schools, and driver education programs run by automobile clubs continue to grow in p

yuradex [85]

Answer:

Step-by-step explanation:

Hello!

Given the variables

X₁: Weight of a safety helmet for racers

X₂: Price of a safety helmet for racers

Note, there is n= 17 observed values for each variable so for all calculations I'll use this number and disregard the 18 mentioned in the text.

a) Scatterplot in attachment.

b) If you look at the diagram it seems that there is a negative linear regression between the price and the weight of the helmets, meaning, the higher the helmet weights, the less it costs.

c) The estimated regression equation is ^Yi= a + bXi

n= 17; ∑Y= 6466; ∑Y²= 3063392; ∑X= 1008; ∑X²= 60294; ∑XY= 367536

Y[bar]= 380.35; X[bar]= 59.29

$b= \frac{sumXY-\frac{(sumX)(sumY)}{n} }{sumX^2-\frac{(sumX)^2}{n} } = \frac{367536-\frac{1008*6466}{17} }{60294-\frac{(1008)^2}{17} } = -30.18$

$a= Y[bar]- bX[bar]= 380.35-(-30.18)*59.29= 2169.77$

The estimated regression equation for the price of the helmets as a function of their weight is:

^Yi= 2169.77 -30.18Xi

I hope it helps!

8 0

3 years ago

What value of x is in the solution set of 3(x – 4) ≥ 5x + 2? <br><br> –10<br> –5<br> 5<br> 10

emmasim [6.3K]

<u>Answer:</u>

The value of x is in the solution set of 3(x – 4) ≥ 5x + 2 is -10

<u>Solution:</u>

Need to determine which value of x from given option is solution set of 3(x – 4) ≥ 5x + 2

Lets first solve 3(x – 4) ≥ 5x + 2

3(x – 4) ≥ 5x + 2

=> 3x – 12 ≥ 5x + 2

=> 3x – 5x ≥ 12 + 2

=> -2x ≥ 14

=> -x ≥ 7

=> x ≤ -7

All the values of x which are less than or equal to -7 is solution set of 3(x – 4) ≥ 5x + 2. From given option there is only one value that is -10 which is less than -7

Hence from given option -10 is solution set of 3(x – 4) ≥ 5x + 2.

7 0

3 years ago

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Solve the equations for points!! <br><br> (Only 3)

jonny [76]

Answer:

-2 , -10 & -99

Step-by-step explanation:

1)

⇒ x + 6 = 4

⇒ x = 4-6

⇒ x = (-2)

2)

⇒x - (-4) = -6

⇒ x + 4 = -6

⇒ x = -6-4

⇒ x = -10

3)

⇒2(x-1) = -200

⇒ x - 1 = -200/2

⇒ x - 1 = -100

⇒ x = 1 - 100

⇒ x = (-99)

4 0

2 years ago

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URGENT!!!!!!!! HELP ASAP TIMED!!!!!!!!!!!!!!!

sergey [27]

Answer:

what. omg what if is this

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3 years ago

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An object is acted upon by the forces F1=<10,6,4> and F2=<0,3,9>. Find the force F3 that must act on the object

murzikaleks [220]

$\vec F_3=\langle x,y,z\rangle$ is a force vector such that

$\vec F_1+\vec F_2+\vec F_3=\vec0$

$\implies\langle10,6,4\rangle+\langle0,3,9\rangle+\langle x,y,z\rangle=\langle0,0,0\rangle$

$\implies\begin{cases}10+x=0\\9+y=0\\13+z=0\end{cases}\implies x=-10,y=-9,z=-13$

So the missing force is

$\boxed{\vec F_3=\langle-10,-9,-13\rangle}$

8 0

2 years ago