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musickatia [10]
3 years ago
5

YMBCA donates 90,000 dollars. MECH donates twice that amount. How much money was donated?

Mathematics
2 answers:
Sergio [31]3 years ago
7 0

Answer: $270,000

Step-by-step explanation:

YMBCA = $90,000

MECH = ($90,000)(2) = $180,000

Total = YMBCA + MECH = $90,000 + $180,000 = $270,000

natima [27]3 years ago
4 0

Answer:

$270,000 was donated.

Twice refers to 2 times the amount, so 90,000 x 2 gives you 180,000. Now YMBCA also has 90,000 dollars. Add 90,000 to 180,000 and the total is 270,000.

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To gather information on customer satisfaction, a researcher goes into each store and interviews six randomly selected customers
Slav-nsk [51]

Answer:

Convenience sampling.

Step-by-step explanation:

To gather information on customer satisfaction, a researcher goes into each store and interviews six randomly selected customers at each store. This sampling technique is called convenience sampling.

Convenience sampling can be defined as a sampling method which involves the researcher selecting or collecting data that is easily available or choosing the individuals who are easiest to reach in a population. It is a type of non-probability method of sampling where the first or easiest available data source is being used by the researcher without other requirements.

In this scenario, to gather information on customer satisfaction, the researcher went to the store most likely situated in a shopping mall to collect data from six (6) customers in each stores.

<em>Some of the advantages of convenience sampling are low cost, data are collected quickly, lesser rules etc. </em>

3 0
3 years ago
The sum of two polynomials is –yz2 – 3z2 – 4y + 4. If one of the polynomials is y – 4yz2 – 3, what is the other polynomial? –2yz
marishachu [46]

The first polynomial is y -4yz^2-3 and let the second polynomial be P(y,z).

If the sum of two polynomials is -yz^2-3z^2-4y+4, then y-4yz^2-3+P(y,z)=-yz^2-3z^2-4y+4.

Take the first polynomial from the left side to the right side:

P(y,z)=-yz^2-3z^2-4y+4 -(y-4yz^2-3),\\ P(y,z)=-yz^2-3z^2-4y+4 -y+4yz^2+3,\\ P(y,z)=3yz^2-3z^2-5y+7.

Answer: the second polynomial is 3yz^2-3z^2-5y+7.

3 0
3 years ago
Read 2 more answers
Write an equation for a quadratic function that has x intercepts (-3, 0) and (5, 0)
Blizzard [7]

Answer:

One possible equation is f(x) = (x + 3)\, (x - 5), which is equivalent to f(x) = x^{2} - 2\, x - 15.

Step-by-step explanation:

The factor theorem states that if x = x_{0}  (where x_{0} is a constant) is a root of a function, (x - x_{0}) would be a factor of that function.

The question states that (-3,\, 0) and (5,\, 0) are x-intercepts of this function. In other words, x = -3 and x = 5 would both set the value of this quadratic function to 0. Thus, x = -3\! and x = 5\! would be two roots of this function.

By the factor theorem, (x - (-3)) and (x - 5) would be two factors of this function.

Because the function in this question is quadratic, (x - (-3)) and (x - 5) would be the only two factors of this function. In other words, for some constant a (a \ne 0):

f(x) = a\, (x - (-3))\, (x - 5).

Simplify to obtain:

f(x) = a\, (x + 3)\, (x - 5).

Expand this expression to obtain:

f(x) = a\, (x^{2} - 2\, x - 15).

(Quadratic functions are polynomials of degree two. If this function has any factor other than (x - (-3)) and (x - 5), expanding the expression would give a polynomial of degree at least three- not quadratic.)

Every non-zero value of a corresponds to a distinct quadratic function with x-intercepts (-3,\, 0) and (5,\, 0). For example, with a = 1:

f(x) = (x + 3)\, (x - 5), or equivalently,

f(x) = x^{2} - 2\, x - 15.

6 0
2 years ago
A study indicates that 37% of students have laptops. You randomly sample 30 students. Find the mean and the standard deviation o
Brilliant_brown [7]

Answer:

The mean and the standard deviation of the number of students with laptops are 1.11 and 0.836 respectively.

Step-by-step explanation:

Let <em>X</em> = number of students who have laptops.

The probability of a student having a laptop is, P (X) = <em>p</em> = 0.37.

A random sample of <em>n</em> = 30 students is selected.

The event of a student having a laptop is independent of the other students.

The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> and <em>p</em>.

The mean and standard deviation of a binomial random variable <em>X</em> are:

\mu=np\\\sigma=\sqrt{np(1-p)}

Compute the mean of the random variable <em>X</em> as follows:

\mu=np=30\times0.37=1.11

The mean of the random variable <em>X</em> is 1.11.

Compute the standard deviation of the random variable <em>X</em> as follows:

\sigma=\sqrt{np(1-p)}=\sqrt{30\times0.37\times(1-0.37)}=\sqrt{0.6993}=0.836

The standard deviation of the random variable <em>X</em> is 0.836.

5 0
3 years ago
What is the frequency of the function f(x)?<br> Express the answer in fraction form.
Reil [10]

Answer:

<u>Frequency = 1/period = \frac{1}{8\pi }</u>

Step-by-step explanation:

The frequency of the sinusoidal function = 1/period

Frequency is how many the function repeats itself per unit if time i.e: per "1"

For the given graph :

\frac{x}{4} =Bx , Where: B = 2π/period

period = 2π/B  ,   B = 1/4 = 0.25

∴ Period = 2π/0.25 = 8π

∴ Frequency = 1/period = \frac{1}{8\pi }

3 0
2 years ago
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