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3 years ago

Maggie bought 52 oz of swordfish selling at 6.92 per lb. what is the total cost

1 answer:

6 0

1 oz = 0.0625 lb

52 × 0.0625 = 3.25

52 oz = 3.25 lb

6.92 × 3.52 = 24.35

5 oz cost $24.35.

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Write the slope-intercept form of the equation that passes through the point (4, -2) and is perpendicular to the line y =4x - 1

Illusion [34]

Answer:

y = -1/4x - 1

Step-by-step explanation:

4x - 1

Change 4x to -1/4 to make the slope perpendicular

Then put (4, -2) on x and y to find b

-2 = -1/4(4) + b

-2 = -1 + b

-2 + 1 = -1

b is -1

So your final answer in slope intercept form is y = -1/4x - 1

4 0

3 years ago

Are the functions f,g, and h given below linearly independent?

CaHeK987 [17]

Answer:

Linearly independent, x = 0

Step-by-step explanation:

- We are given three functions as follows:

$f ( x ) = e^4^x\\\\g ( x ) = xe^4^x\\\\h( x ) = x^2e^4^x$

- We are to determine the linear - independence of the given functions. We will use the theorem of linear independence which states that:

$c_1*f(x) + c_2*g(x) + c_3*h(x) = 0$

Where,

c1 , c2 , c3 are all zeroes then for all values of (x),

- The system of function is said to be linearly independent

- We will express are system of equations as such:

$c_1*e^4^x + c_2*xe^4^x + c_3*x^2e^4^x = 0\\\\$

- To express our system of linear equations we will choose three arbitrary values of ( x ). We will choose, x = 0. then we have:

$c_1*( 1 ) + c_2*(0) + c_3*(0 ) = 0\\\\c_1 = 0$

- Next choose x = 1:

$c_2*e^4 + c_3*e^4 = 0\\\\c_2 + c_3 = 0$

- Next choose x = 2:

$2*c_2*e^8 + 4*c_3*e^8 = 0\\\\c_2 + 2c_3 = 0$

- Solve the last two equations simultaneously we have:

$c_1 = c_2 = c_3 = 0$ .... ( Only trivial solution exist )

Answer: The functions are linearly independent

- The only zero exist is x = 0.

5 0

3 years ago

You roll a number cube one time. What is the probability of not rolling a 8 or a 10?

liq [111]

Answer: 80% or 4/5

Step-by-step explanation:

so I don’t know how many numbers there are on this cube (a standard number cube has #1-6) but I’m going to go with 10 numbers (don’t know how this is possible but anyway-). I’ll edit my answer if needed.

10 numbers

10 (numbers) - 2 (#8 and #10) = 8 (possible numbers)

so 8/10 or 80%

reduced fraction: 4/5

percentage: 80%

fraction: 8/10

*will edit if needed

3 0

2 years ago

Cardiovascular disease is a major cause of death and illness worldwide, with high blood pressure and high LDL cholesterol both b

valkas [14]

Answer:

Null and alternative hypotheses:

H0: p1 = p2

H1: p1 ≠ p2

To find the sample proportions, we have the following:

$p'1 = \frac{x_1}{n_1} = \frac{113}{3180} = 0.0355$

$p'2 = \frac{x_2}{n_2} = \frac{157}{3168} = 0.0495$

$p' = \frac{(x_1 + x_2}{n_1 + n_2} = \frac{113 + 157}{3180 + 3168} = 0.0425$

Calculate Z statistics:

$z = \frac{(p1 -p2)}{\sqrt{(p'(1-p')*(\frac{1}{n1}+ \frac{1}{n2})}}$

$= \frac{(0.0355 - 0.0495)}{\sqrt{(0.0425*(1-0.0425) * (\frac{1}{3180} + \frac{1}{3168})}} = -2.764$

Z = -2.764

P-value = 0.00285

The pvalue is low.

Since the pvalue is low, reject null hypothesis, H0.

Conclusion:

There is strong evidence that patients experiencing the primary outcome is different for those receiving the treatment compared to those without

7 0

2 years ago

Shoprite has various brands of laundry detergent. which brand has the lowest price per ounce?

Sauron [17]

The Xtra detergent. Because it is $8.77 and all the rest are higher.

8 0

2 years ago