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ANEK [815]
2 years ago
15

Diego’s current age is five times Martina’s age ten years ago. If Martina is currently m years old, what is Diego’s current age

in terms of m?
Mathematics
1 answer:
puteri [66]2 years ago
8 0

Answer:

5m-50

Step-by-step explanation:

Let Diego current age be x,

Given that Diego’s current age is five times Martina’s age ten years ago

Martina current age = m years

10 years ago Martina's age = m-10

Hence we have

x = 5(m-10) = 5m-50

So we find that Diego's current age can be expressed in terms of m as

Deigo's current age= 5m-50

Verify:

Deigo current age = 5m-50

Hence Martina age 10 years ago = 5m-50 divided by 5 = m-10

Martina current age = m-10+10 = m

Verified.

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What is the measure of PSQ in degrees? Angle PSR measures 99°.
11111nata11111 [884]

we know that

Step 1

Find the value of x

m∠PSR=99°

m∠PSR=(3x+18)+(9x-27)°

so

99 =(3x+18)+(9x-27) \\ 99=12x-9\\ 12x=108\\ x=9degrees

Step 2

Find the value of m∠PSQ

m∠PSQ=(3x+18)

m∠PSQ=(3*9+18)

m∠PSQ=45°

therefore

the answer is the option

C) 45 degrees

8 0
2 years ago
Read 2 more answers
3.52 A coin is tossed twice. Let Z denote the number of heads on the first toss and W the total number of heads on the 2 tosses.
Rufina [12.5K]

Answer:

a)  The joint probability distribution

P(0,0) = 0.36, P(1,0) = 0.24,   P(2,0) = 0,   P(0,1) = 0,  P(1,1) = 0.24,  P(2,1)= 0.16

b)  P( W = 0 ) = 0.36,    P(W = 1 ) = 0.48,  P(W = 2 ) = 0.16

c) P ( z = 0 ) = 0.6

  P ( z = 1 ) = 0.4

Step-by-step explanation:

Number of head on first toss = Z

Total Number of heads on 2 tosses = W

% of head occurring = 40%

% of tail occurring = 60%

P ( head ) = 2/5 ,    P( tail ) = 3/5

<u>a) Determine the joint probability distribution of W and Z </u>

P( W =0 |Z = 0 ) = 0.6         P( W = 0 | Z = 1 ) = 0

P( W = 1 | Z = 0 ) = 0.4        P( W = 1 | Z = 1 ) = 0.6

P( W = 1 | Z = 0 ) = 0           P( W = 2 | Z = 1 ) = 0.4

The joint probability distribution

P(0,0) = 0.36, P(1,0) = 0.24,   P(2,0) = 0,   P(0,1) = 0,  P(1,1) = 0.24,  P(2,1)= 0.16

<u>B) Marginal distribution of W</u>

P( W = 0 ) = 0.36,    P(W = 1 ) = 0.48,  P(W = 2 ) = 0.16

<u>C) Marginal distribution of Z ( pmf of Z )</u>

P ( z = 0 ) = 0.6

P ( z = 1 ) = 0.4

8 0
2 years ago
An equation is written to represent the relationship between the temperature in Alaska during a snow storm, y, as it relates to
Serhud [2]

Answer:

either of ...

• quadrant 1 only

• quadrant 1 and 4 only

Step-by-step explanation:

Time since the storm started is always positive. The values of x are positive in quadrants 1 and 4.

Temperatures in a blizzard are not always terribly cold. Some of the coldest snowstorms on record have temperatures in the range of +5 °F to +18 °F. These values are negative temperatures on the Celsius scale, so the quadrant used for plotting them will depend on the temperature scale you choose.

While temperatures in Alaska can be well below zero (on either the F or C temperature scales), the air usually has to warm up to the range indicated above before it can snow. US temperatures are generally reported using the Fahrenheit scale, but weather records are often kept using the Celsius scale.

I would be inclined to choose "Quadrant 1 and 4 only", but arguments can be made for "1 only" and "4 only" as suggested above.

8 0
2 years ago
the jellybean jar has a radius of 4.8 cm and a height of 11.8 cm. what would be a reasonable lower limit for the number of jelly
azamat

Answer:

           \large\boxed{\large\boxed{100}}

Explanation:

This question comes with four answer choices:

  • 10,000
  • 100,000
  • 100
  • 1

You just need to find a rough estimate of the volume of the jar and the volume of one jelly bean. This is called magnitude order.

The <em>jellybean ja</em>r is cylindrical, Thus, its volume is \pi \times radius^2\times height

To find the order of magnitude, you just use the numbers rounded to one signficant figure: round π to 3, the radius to 5, cm, and the height to 10:

            Volume\approx 3cm\times (5cm)^2\times10cm=750cm^3\approx1,000cm^3

The order of magnitude for the radius of a jellybean is 1 cm. And the order of magnitude of the volume of a sphere with a radius of 1 cm is the cube of the diameter (2cm):

             (2cm)^3=8cm^3\approx10cm^3

Hence, a reasonable lower limit for the number of jellybeans in the jar is:

                     1,000cm^3/10cm^3=100

7 0
2 years ago
Two linear functions are shown below which function has the greater rate of change
Shtirlitz [24]

Answer:

On this case if we analyze both slopes, we see that function 2 has a greater rate of change because have a slope greater on absolute value than the slope for Function 1 (|-5|>|4|). No matter if the sign is positive or no we are analyzing the rate of change and for this case we need to use the absolute value to find the solution.

Step-by-step explanation:

Assuming the following two functions:

Function 1: y = 4x + 8

Function 2:  

x y

2 20

4 10

6 0

We can find the slope for the second function like this:

m =\frac{10-20}{4-2}=-5

And in order to find the intercept we can use any point for example (2,20) and we got:

20 =-5(2) +b

And then b=30

So our function 2 is given by: y =-5x +30

On this case if we analyze both slopes, we see that function 2 has a greater rate of change because have a slope greater on absolute value than the slope for Function 1 (|-5|>|4|). No matter if the sign is positive or no we are analyzing the rate of change and for this case we need to use the absolute value to find the solution.

7 0
2 years ago
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