Part A: Which point represents the origin? (2 points)

Theresa is 14 years younger than her brother Jonathan. Together, their total age in years is 35. A) How many years old is Theres

ikadub [295]

A) The age of Theresa is 10 years 6 months old

B) Jonathan age is 24 years and 6 months old

Solution:

Given, Theresa is 14 years younger than her brother Jonathan.

Let the age of Theresa be "n" years

Then the age of Jonathan will be "n + 14" years

Together, their total age in years is 35

A) Finding age of Theresa:

Jonathan age + Theresa age = 35

n + 14 + n = 35

2n + 14 = 35

2n = 35 - 14

2n = 21

n = 10.5

So, age of Theresa is 10 years 6 months

B) Finding age of Jonathan

Now, we know that n = 10.5

Then Jonathan age = n + 14 = 10.5 + 14 = 24.5 years

So, Jonathan is 24 years and 6 months old

4 0

3 years ago

A weather forecaster says the temperature will be about-5C “give or take” 10 degrees. What is the greatest possible temperature?

IRINA_888 [86]

The greatest possible temperature is $5^{\circ} \mathrm{C}$ and least possible temperature is $-15^{\circ} \mathrm{C}$

Solution:

Given that according to weather forecaster the temperature will be about -5 degree celsius given or take 10 degree”

Need to determine greatest possible temperature and least possible temperature.

Give and take in given statement means a temperature can go up by 10 degrees and can go down by 10 degrees

So greatest possible temperature will be $-5^{\circ} \mathrm{C}+10^{\circ} \mathrm{C}=5^{\circ} \mathrm{C}$

Least possible temperature will be $-5^{\circ} \mathrm{C}-10^{\circ} \mathrm{C}=-15^{\circ} \mathrm{C}$

Hence according to weather forecaster, greatest possible temperature = $5^{\circ} \mathrm{C}$ and least possible temperature = $-15^{\circ} \mathrm{C}$

4 0

3 years ago

Is a measure of 25 inches "far away" from a mean of 16 inches? As someone with knowledge of statistics, you answer "it depen

erik [133]

Answer:

a) 25 is 3 standard deviation from the mean

b) Is far away from the mean, only 0,3 % away from the right tail

c) 25 is pretty close to the mean (just a little farther from 1 standard deviation)

Step-by-step explanation:

We have a Normal Distribution with mean 16 in.

Case a) we also have a standard deviation of 3 inches

3* 3 = 9

16 (the mean) plus 3*σ equal 25 in. the evaluated value, then the value is 3 standard deviation from the mean

Case b) 25 is in the range of 99,7 % of all value, we can say that value is far away from the mean, considering that is only 0,3 % away from the right tail

Case c) If the standard deviation is 7 then

mean + 1*σ = 16 + 7 =23

25> 23

25 is pretty close to the mean only something more than 1 standard deviation

4 0

3 years ago

4. What number is the opposite of -3/5?*

Arlecino [84]

Answer:

the opposite of negative 3/5 [-3/5] is positive 3/5 [3/5].

Good luck.

4 0

1 year ago

If sin(x) =-1/2 and tan(x) is negative what is cos(2x)

Keith_Richards [23]

Answer:

positive

Step-by-step explanation:

Using the acronym ASTC (all students take calculus), this means that if sin and tan are negative, they must be in the fourth quadrant, which means that cos is positive.

ASTC is an acronym to help students remember which of the three basic trigonometric functions are positive in which quadrants.

A: all

S: sin

T: tan

C: cos

It starts from the first quadrant: all the sin, tan, cos are positive in the first quadrant, only sin is positive in the second quadrant, only tan is positive in the third quadrant, only cos is positive in the fourth quadrant.

3 0

3 years ago