Steven bagged 52 pounds of potatoes. About what is that measure in kilograms?

Daley went to the grocery store to buy berries. Blueberries cost $1.50 a pound and strawberries cost $2.25 a pound. Daley spent

shutvik [7]

Answer: 1.5(b)+ 2.25(s) = 10.05

Step-by-step explanation:

9 0

2 years ago

Read 2 more answers

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kolezko [41]

Answer:

Masho

Step-by-step explanation:

8 0

2 years ago

Show that if the vector field F = Pi + Qj + Rk is conservative and P, Q, R have continuous first-order partial derivatives, then

nekit [7.7K]

Answer: The field F has a continuous partial derivative on R.

Step-by-step explanation:

For the field F has a continuous partial derivative on R, fxy must be equal to fyx and since our field F is ∇f,

∇f = fxi + fyj + fzk.

Comparing the field F to ∇f since they at equal, P = fx, Q = fy and R = fz

Since P is fx therefore;

∂P ∂y = ∂ ∂y( ∂f ∂x) = ∂2f ∂y∂x

Similarly,

Since Q is fy therefore;

∂Q ∂x = ∂ ∂x( ∂f ∂y) = ∂2f ∂x∂y

Which shows that ∂P ∂y = ∂Q ∂x

The same is also true for the remaining conditions given

4 0

2 years ago

The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the e

kow [346]

Answer:

The 80% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level is (0.149, 0.207).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

Suppose a sample of 292 tenth graders is drawn. Of the students sampled, 240 read above the eighth grade level.

So 292 - 240 = 52 read below or at eight grade level, and that $n = 292, \pi = \frac{52}{292} = 0.178$

80% confidence level

So $\alpha = 0.2$ , z is the value of Z that has a pvalue of $1 - \frac{0.2}{2} = 0.9$ , so $Z = 1.28$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.178 - 1.28\sqrt{\frac{0.178*0.822}{292}} = 0.149$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.178 + 1.28\sqrt{\frac{0.178*0.822}{292}} = 0.207$

The 80% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level is (0.149, 0.207).

3 0

2 years ago

Lily built a rectangular prism with cubes. The area of the base is 16 connecting cubes. It is 6 layers high what is the volume o

Vsevolod [243]

Answer:

Volume of prism is equal to $96$ units

Step-by-step explanation:

let the side of the cube be of one unit.

Then, the area of the base is equal to $16$ connecting cubes

Assuming a square base of the rectangular prism.

Length of one side of the base of rectangular prism $= 4$ units

Similarly, width of the base of rectangular prism $= 4$ units

The height of the rectangular prism is $6$ units

Volume of the prim $=$ Length $*$ Width $*$ Height

Substituting the given values in above equation, we get -

$V = 4* 4* 6\\V = 96$

Volume of prism is equal to $96$ units

4 0

2 years ago