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Dominik [7]
2 years ago
5

Negative sixteen plus the quotient of a number and -4 is -3

Mathematics
1 answer:
IRINA_888 [86]2 years ago
7 0

The number you are in search of is -52.

To find this, we first have to write the equation that goes along with the sentence. For this, we need to take it one term at a time.

Negative sixteen (-16) plus (+) the quotient of a number and -4 (x/-4) is (=) -3.

Now put the parenthesis together

-16 + x/-4 = -3

Now we can solve this for x.

-16 + x/-4 = 3 ---> add 16 to both sides

x/-4 = 13 ----> multiply both sides by -4

x = -52

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\greenD{4\,\text{cm} \times 6\,\text{cm}}4cm×6cmstart color #1fab54, 4, start text, c, m, end text, times, 6, start text, c, m,
sertanlavr [38]

Answer:

Area of the rectangle: 24 cm²

Area of the circle: 380.13 cm²

Area of between the circle and the rectangle: 356.13 cm²

Step-by-step explanation:

8 0
1 year ago
A geometry teacher asked Saul to define “obtuse triangle.” Saul said that an obtuse triangle is a triangle with one interior ang
olga_2 [115]
It is valid.
The three angles must add up to 180. So, if one is more than 90, the other two have to be less than 90.
7 0
1 year ago
Which graph shows a function whose inverse is also a function? On a coordinate plane, two curved graphs are shown. f (x) sharply
sertanlavr [38]

Answer:

A

Step-by-step explanation:

Just took the quiz on edgenuity

6 0
2 years ago
The distribution of the amount of a customer’s purchase at a convenience store is approximately normal, with mean $15.50 and sta
viktelen [127]

Answer:

0.42 is closest to the proportion of customer purchase amounts between $14.00 and $16.00

Step-by-step explanation:

Mean = \mu = 15.50

Standard deviation = \sigma = 1.72

We are supposed to find the proportion of customer purchase amounts between $14.00 and $16.00

P(14<x<16)

Formula : z=\frac{x-\mu}{\sigma}

At x = 14

z=\frac{14-15.50}{1.72}

z=-0.8720

Refer the  z table for p value

P(x<14)=0.1922

At x = 16

z=\frac{16-15.50}{1.72}

z=0.290

Refer the  z table for p value

P(x<16)=0.6141

P(14<x<16)=P(x<16)-P(x<14)=0.6141-0.1922=0.42

So, Option C is true

Hence 0.42 is closest to the proportion of customer purchase amounts between $14.00 and $16.00

4 0
1 year ago
People are arriving at a party one at a time. While waiting for more people to arrive they entertain themselves by comparing the
Marina CMI [18]

Answer:

=(k−1)*P(X>k−1) or (k−1)365k(365k−1)(k−1)!

Step-by-step explanation:

First of all, we need to find PMF

Let X = k represent the case in which there is no birthday match within (k-1) people

However, there is a birthday match when kth person arrives

Hence, there is 365^k possibilities in birthday arrangements

Supposing (k-1) dates are placed on specific days in a year

Pick one of k-1 of them & make it the date of the kth person that arrives, then:

The CDF is P(X≤k)=(1−(365k)k)/!365k, so the can obtain the PMF by  

P(X=k) =P (X≤k) − P(X≤k−1)=(1−(365k)k!/365^k)−(1−(365k−1)(k−1)!/365^(k−1))=

(k−1)/365^k * (365k−1) * (k−1)!

=(k−1)*(1−P(X≤k−1))

=(k−1)*P(X>k−1)

6 0
2 years ago
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