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3 years ago

Janice scored 30% of the teams 50 points. How many points did Janice score?

Mathematics

1 answer:

Amiraneli [1.4K]3 years ago

8 0

Answer:

The answer is 15.

Step-by-step explanation:

To find the percentage of something, you have to convert the percent to a decimal. 30 % as a decimal would be o.3. You would then multiply 0.3 by 50 which in turn, give you

15 points:)

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Donna sent her grandson a birthday present. The box weighed 0.875 kilograms and the present itself weighed 6,800 grams. a. What

Nana76 [90]

A) We know that the box weighed 0.875 kg, and the present weighed 6,800 g. However we need the gross weight of the package in kg, so we have to convert the present's weight to kg. There are 1000 grams in 1 kg, so we can divide the present's weight by 100 to find the weight in kg:

$\frac{6,800}{1000} =6.8 kg$

Now that we have converted to grams, let's add the weight to get the total gross weight:

$0.875+6.8=7.675 kg$

So the gross weight of the package is 7.675 kg.

b) Shipping costs 74 cents per kg, so in order to find the total cost of shipping for the package, let's multiply the weight of the package by the cost of shipping:

$\frac{7.675kg}{1}* \frac{74 cents}{kg}=567.95 cents$

However the cost of shipping has to be in dollars. There are 100 cents in one dollar, so we need to divide the amount of cents that shipping costs by 100 to get the total in dollars:

$\frac{567.95cents}{100} =5.68dollars$

Now we know that the total cost of shipping, in dollars, is equal to $5.68.

7 0

4 years ago

The space shuttle flight control system called PASS (Primary Avionics Software Set) uses four independent computers working in p

tigry1 [53]

Answer:

$f_X(k)=\binom{4}{k}0.003^k0.997^{4-k}$

Step-by-step explanation:

Recall that a probability mass function defined on a discrete random variable X is just a function that gives the probability that the random variable equals a certain value k

$f_X(k)=P(X=k)$

In this case we have the event

“The computer will ask for a roll to the left when a roll to the right is appropriate” with a probability of 0.003.

Then we have 2 possible events, either the computer is right or not.

Since we have 4 computers in parallel, the situation could be modeled with a binomial distribution and the probability mass function

$f_X(k)=\binom{4}{k}0.003^k0.997^{4-k}$

This gives the probability that k computers are wrong at the same time.

6 0

3 years ago

The sum of two numbers is 65. The smaller number is 11 less than the larger number. What are the numbers?

Irina-Kira [14]

Sum means u add the two numbers together

38 + 27 = 65

7 0

3 years ago

Evaluate the surface integral S F · dS for the given vector field F and the oriented surface S. In other words, find the flux of

Tomtit [17]

Apparently my answer was unclear the first time?

The flux of F across S is given by the surface integral,

$\displaystyle\iint_S\mathbf F\cdot\mathrm d\mathbf S$

Parameterize S by the vector-valued function r(u, v) defined by

$\mathbf r(u,v)=7\cos u\sin v\,\mathbf i+7\sin u\sin v\,\mathbf j+7\cos v\,\mathbf k$

with 0 ≤ u ≤ π/2 and 0 ≤ v ≤ π/2. Then the surface element is

dS = n • dS

where n is the normal vector to the surface. Take it to be

$\mathbf n=\dfrac{\frac{\partial\mathbf r}{\partial v}\times\frac{\partial\mathbf r}{\partial u}}{\left\|\frac{\partial\mathbf r}{\partial v}\times\frac{\partial\mathbf r}{\partial u}\right\|}$

The surface element reduces to

$\mathrm d\mathbf S=\mathbf n\,\mathrm dS=\mathbf n\left\|\dfrac{\partial\mathbf r}{\partial u}\times\dfrac{\partial\mathbf r}{\partial v}\right\|\,\mathrm du\,\mathrm dv$

$\implies\mathbf n\,\mathrm dS=-49(\cos u\sin^2v\,\mathbf i+\sin u\sin^2v\,\mathbf j+\cos v\sin v\,\mathbf k)\,\mathrm du\,\mathrm dv$

so that it points toward the origin at any point on S.

Then the integral with respect to u and v is

$\displaystyle\iint_S\mathbf F\cdot\mathrm d\mathbf S=\int_0^{\pi/2}\int_0^{\pi/2}\mathbf F(x(u,v),y(u,v),z(u,v))\cdot\mathbf n\,\mathrm dS$

$=\displaystyle-49\int_0^{\pi/2}\int_0^{\pi/2}(7\cos u\sin v\,\mathbf i-7\cos v\,\mathbf j+7\sin u\sin v\,\mathbf )\cdot\mathbf n\,\mathrm dS$

$=-343\displaystyle\int_0^{\pi/2}\int_0^{\pi/2}\cos^2u\sin^3v\,\mathrm du\,\mathrm dv=\boxed{-\frac{343\pi}6}$

4 0

4 years ago

Iftan A = 39 and sin B = 3 and angles A and B are in Quadrant I, find the value of tan(A + B).

Allushta [10]

The answer is A yupppp

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3 years ago