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Elden [556K]
3 years ago
11

I need help to these two questions please​

Mathematics
1 answer:
Vilka [71]3 years ago
4 0

Answer:

second question i think the answer is c .i don't know about first one

Step-by-step explanation:

You might be interested in
A national survey indicated that 30% of adults conduct their banking online. It also found that 40% are under the age of 50. and
Svet_ta [14]

Answer:

Step-by-step explanation:

Hello!

I'll express all the given percentages as probabilities:

Given the events:

Banking online (Bo)

Under the age of 50 (<50)

P(Bo)= 0.30

P(<50)= 0.40

P(Bo ∩ <50)= 0.25

1) What percentage of adults do not conduct their banking online?

The event "adults that do not conduct their baking online" is the complement of the event "adults that conduct their baking online" Symbolically Bo^c

P(Bo^c)= 1 - P(Bo)= 1 - 0.30 = 0.70

2) What type of probability is 25%?

The probability P(Bo ∩ <50)= 0.25 is a joint probability, it indicates the intersection between both events.

3) Construct a contingency table showing all joint and marginal probabilities.

Check attachment.

4) What is the probability that an individual conducts banking online given that the individual is under the age of 50?

Symbolically:

P(Bo/<50)= <u> P(Bo ∩ <50) </u> = <u> 0.25 </u> = 0.625

                       P(<50)            0.40

I hope it helps!

4 0
3 years ago
Jacob is working two summer jobs, making $10 per hour washing cars and making $8 per hour landscaping. In a given week, he can w
Burka [1]

Answer:

Step-by-step explanation:

Let x represent the number of hours that that he spent washing cars.

Let y represent the number of hours that that he spent landscaping.

In a week, he can work no more than 19 total hours. This means that

x + y ≤ 19- - - - - - - - - - - -1

Jacob is working two summer jobs, making $10 per hour washing cars and making $8 per hour landscaping. He must earn at least $170. This means that

10x + 8y ≥ 170 - - - - - - - - - -2

If Jacob worked 4 hours landscaping, it means that

x + 4 ≤ 19

x ≤ 19 - 4

x ≤ 15

Also,

10x + 8 × 4 ≥ 170

10x + 32 ≥ 170

10x ≥ 170 - 32

10x ≥ 138

10x ≥ 138/10

x ≥ 13.8

The minimum number of hours is 14

6 0
3 years ago
The line 10x + py = q is a tangent at the point (5, 4) in another circle with centre
Monica [59]

Answer:

  (p, q) = (8, 82)

Step-by-step explanation:

When a circle is centered at the origin, the radius to point (a, b) will have slope m = b/a. The tangent is perpendicular to the radius, so the tangent at point (a, b) will have slope -a/b. In point-slope form, the equation of the tangent line will be ...

  y -k = m(x -h) . . . . . point-slope equation of line with slope m through (h, k)

  y -b = (-a/b)(x -a)

Rearranging this to standard form, we have ...

  b(y -b) = -a(x -a)

  by -b² = -ax +a²

  ax +by = a² +b²

__

For (a, b) = (5, 4), the standard form equation of the tangent can be written ...

  5x +4y = 5² +4² = 41

Your given equation has an x-coefficient that is twice the value shown in this equation, so we need to multiply this equation by 2:

  2(5x +4y) = 2(41)

  10x +8y = 82

Comparing to 10x +py = q, we see that ...

 p = 8

  q = 82

4 0
2 years ago
Which relationships describe angles 1 and 2?
Vesna [10]

Answer:

angles one and two are supplementary angles and adjacent angles

Step-by-step explanation:

Definitions:

Supplementary angles: two angles that add to 180 deg

Adjacent angles: two angles that have a common side and a common vertex (corner point)  and don't overlap

complementary angles: two angles that add up to 90 deg

vertical angles: two angles that are directly opposite from each other, formed by intersecting lines

7 0
2 years ago
Help please
ale4655 [162]

Answer:

12 cooking books

Step-by-step explanation:

4 0
2 years ago
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