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TEA [102]
3 years ago
11

Solve for a. a+(−7)=−17 What is the answer

Mathematics
2 answers:
luda_lava [24]3 years ago
3 0
The answer would be -10
Talja [164]3 years ago
3 0
A+(-7)=-17
    +7   +7
     a=-10 
here it is with the work
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Question Help When purchasing bulk orders of​ batteries, a toy manufacturer uses this acceptance sampling​ plan: Randomly select
horrorfan [7]

Answer:

The probability is P(X  \le 2 ) = 0.9072

The company will accept 90.72% of the shipment and will reject (100 -90.72) =  9.2\% of the shipment , so many of the shipment are rejected

Step-by-step explanation:

From the question we are told that

   The  sample size is  n =  36

   The  proportion that did not meet the requirement is  p =  0.03

Generally the probability that the whole shipment is accepted is equivalent to the probability that there is at most 2 batteries that do not meet the requirement , this is mathematically represented as

     P(X  \le 2 ) = [ P(X =  0 ) +  P(X =  1 ) + P(X = 0)]

=>   P(X  \le 2 ) = [ [^{n}C_0 * (p)^{0} *(1-p)^{n-0} ] +  [^{n}C_1 * (p)^{1} *(1-p)^{n-1} ] +  [^{n}C_2 * (p)^{2} *(1-p)^{n-2} ]]

Here C stands for Combination (so we will be making the combination function in our  calculators )

So

=> P(X  \le 2 ) = [ [^{36}C_0 * (0.03)^{0} *(1-0.03)^{36-0} ] +  [^{36}C_1 * (0.03)^{1} *(1-0.03)^{36-1} ] +  [^{36}C_2 * (0.03)^{2} *(1-0.03)^{36-2} ]]

=> P(X  \le 2 ) = [ [1 * 1 * 0.3340  ] +  [36* 0.03 *0.3444 ] +  [630 * 0.0009 *(0.355 ]]

=>P(X  \le 2 ) = 0.9072

The company will accept 90.72% of the shipment and will reject (100 -90.72) =  9.2\% of the shipment , so many of the shipment are rejected

 

8 0
3 years ago
WILL GIVE BRAINLEIST! :Given a traffic cone has a base diameter of 12 inches and a height of 28 inches, which is the closest vol
lesya [120]

Answer:

1,055.58 in^3

Step-by-step explanation:

The volume of a cone is given by

V = 1/3 pi r^2 h

We need the radius

r = d/2 = 12/2 =6

V = 1/3 (pi) (6)^2 *28

Using the pi button on the calculator

   =1055.575132

Rounding to 2 decimal places

 1,055.58 in^3

3 0
3 years ago
Complete the sentence to make it a true statement. 60 is 1/100 of
Over [174]

Answer:

6000

Step-by-step explanation:

If it is one hundredth than multiply by 100 to get 6000

3 0
2 years ago
The water tank in the diagram is in the shape of an inverted right circular cone. The radius of its base is 16 feet, and its hei
Angelina_Jolie [31]

Answer:

6433.98 ft

Step-by-step explanation:

In order to find what 25% of the tank's capacity is, we know to know the full capacity of the tank then take 25% of that.  The volume formula for a right circular cone is

V=\frac{1}{3}\pi r^2h

We have all the values we need for that:

V=\frac{1}{3}\pi (16)^2(96)

This gives us a volume of 25735.93 cubic feet total.

25% of that:

.25 × 25735.93 = 6433.98 ft

4 0
2 years ago
Read 2 more answers
Suppose triangle TIP and triangle TOP are isosceles triangles. Also suppose that TI=5, PI=7, and PO=11. What are all the possibl
Ede4ka [16]
<h3>Two answers: 5, 7</h3>

====================================================

Explanation:

A drawing may be helpful to see what's going on. Check out the diagram below. This is one way of drawing out the two triangles. The locations of the points don't really matter, and neither does the the orientation of how you rotate things. What does matter is we have the right points connected to form the segments mentioned.

----------

For now, focus on triangle TIP only. In order to have this be isosceles, we must make TP = 5 or TP = 7.

If TP = 5, then it's the same length as TI.

If TP = 7, then it's the same length as PI.

In either case, we have exactly two sides the same length (the other side different) which is what it means for a triangle to be isosceles.

----------

Let's consider triangle TOP. For it to be isosceles, we must have two sides the same length. We already locked in TP to be either 5 or 7 in the previous section above. So there's no way that TP could be 11 units long to match up with PO = 11.

If TP = 5, then OT must also be 5 units long so that triangle TOP is isosceles.

If TP = 7, then OT = 7 for similar reasoning.

Either way, TP only has two choices on what it could be.

----------

In short, we basically just write the first two values given to us to get the two triangles to be isosceles. We can't use TP = 11 as it would make triangle TIP to be scalene (all sides are different lengths).

7 0
2 years ago
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