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Sav [38]
3 years ago
10

The experimental probability that Josie dad gets home from work between 5 p.m. and 6 p.m. is equal to 5/8 . About what percent o

f the time will Josie dad get home from work between 5 p.m. and 6 p.m.
Mathematics
1 answer:
Veseljchak [2.6K]3 years ago
5 0

Answer:

62.5%

Step-by-step explanation:

In this case we have the information we need to calculate the percentage because they give us the necessary experimental probability, we only have to pass the probability to its percentage form.

We know that probability can be converted to a percentage by multiplying the value of probability by 100, like so:

5/8 * 100 = 62.5

In other words, the probability that it will arrive at that time is 62.5%

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Which ordered pair is NOT a solution to the inequality in the graph?
aalyn [17]

Given:

The inequality is

y\leq 3x+2

To find:

The ordered pair that is NOT a solution to the inequality in the graph.

Solution:

We have,

y\leq 3x+2

Checking the inequality for (0,0), we get

0\leq 3(0)+2

0\leq 2

So, the equality is true for (0,0). it means (0,0) is a solution of given inequality.

Checking the inequality for (-2,-4), we get

-4\leq 3(-2)+2

-4\leq -6+2

-4\leq -4

So, the equality is true for (-2,-4). It means (-2,4) is a solution of given inequality.

Checking the inequality for (0,2), we get

2\leq 3(0)+2

2\leq 2

So, the equality is true for (0,2). It means (0,2) is a solution of given inequality.

Checking the inequality for (-3,4), we get

4\leq 3(-3)+2

4\leq -9+2

4\leq -7

This statement is not true. So, the equality is false for (-3,4). It means (-3,4) is not a solution of given inequality.

Therefore, the correct option is D.

6 0
3 years ago
Read 2 more answers
Altitudes $\overline{ax}$ and $\overline{by}$ of acute triangle $abc$ intersect at $h$. if $\angle ahb = 132^\circ$, then what i
Sergio [31]
Answer: 48 degrees

-------------------------------------------------------

See the attached image for a visual of the problem and answer.

Based on the diagram, we have angle AHB = 132 degrees (given) equal in measure to angle XHY since these two angles are vertical angles. 

Angles HYC and HXC are right angles due to the nature of AX and BY being altitudes. Recall that altitudes are segments that go from one vertex to the opposite side and they are perpendicular to the opposite side.

Focus on quadrilateral HXCY. So far, we know that...
Angle XHY = 132 degrees
Angle HYC = 90 degrees
Angle HXC = 90 degrees

The angle we want to find is angle ACB, which is the same as angle YCX. This angle is the missing angle of the quadrilateral HXCY.

For any quadrilateral, the four angles must add to 360 degrees. 

(angle XHY) + (angle HYC) + (angle HXC) + (angle YCX) = 360
(132) + (90) + (90) + (angle YCX) = 360
312 + (angle YCX) = 360
312 + (angle YCX) - 312 = 360 - 312
angle YCX = 48 degrees

Since angle ACB is the same as angle YCX, we can say
angle ACB = angle YCX = 48 degrees

So in summary,
angle ACB = 48 degrees

4 0
4 years ago
If a polynomial function f(x) has roots -8, 1, and 6i, what must also be a root of f(x)?
Naddik [55]

Answer:

it must also have the root : - 6i

Step-by-step explanation:

If a polynomial is expressed with real coefficients (which must be the case if it is a function f(x) in the Real coordinate system), then if it has a complex root "a+bi", it must also have for root the conjugate of that complex root.

This is because in order to render a polynomial with Real coefficients, the binomial factor  (x - (a+bi)) originated using the complex root would be able to eliminate the imaginary unit, only when multiplied by the binomial factor generated by its conjugate: (x - (a-bi)). This is shown below:

(x-(a+bi))*(x-(a-bi))=\\(x-a-bi)*(x-a+bi)=\\([x-a]-bi)*([x-a]+bi)=\\(x-a)^2-(bi)^2=\\(x-a)^2-b^2(-1)=\\(x-a)^2+b^2

where the imaginary unit has disappeared, making the expression real.

So in our case, a+bi is -6i (real part a=0, and imaginary part b=-6)

Then, the conjugate of this root would be: +6i, giving us the other complex root that also may be present in the real polynomial we are dealing with.

5 0
3 years ago
Please help me I dont really understand<br>(this is 12 year old math) <br>​
Ivahew [28]

Answer:

S represents sasha and B represents brother.

Equation is s = b + 4

11

13

16

24

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
A serological test is being devised to detect a hypothetical chronic disease. 500 individuals were referred to a laboratory for
andriy [413]

Answer: the predictive value positive of the test is 0.7

Step-by-step explanation:

Given that;

                                              Predicted

                                             Diesease                No-Diesease                Tt

Actual              Diesease           225                           75                         300

No-Diesease         25                175                            200

                                                  250                           250                       500

so finding the predictive value positive of the test,

predictive negative value = (175 / (75+175) )

= 175 / 250

= 0.7

Therefore the predictive value positive of the test is 0.7

7 0
4 years ago
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