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lutik1710 [3]
3 years ago
7

The expression √93 is in between two whole numbers. Write the two numbers with a comma and a space in between (for example: 1, 2

)
Mathematics
1 answer:
Ann [662]3 years ago
3 0

Answer:

9, 10

Step-by-step explanation:

9² = 81

10² = 100

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Rosalie earns extra money by working as a babysitter over the weekend. She charges $10 to drive to the home and an additional $8
agasfer [191]

Answer: The input values are B-number of hours (x).

The output values are C-charge for babysitting(y).

The value of $10 represents the B-y intercept.

The value of $8 represents the C-slope.

Step-by-step explanation:

Charges to drive to the home= $10

Additional charges per hour=$8

Let x be the hour she worked (independent variable) and y be the total charge for baby sitting (dependent variable)

Thus, the input values are number of hours (x) and the output values are charge for babysitting(y)

According to the situation the equation would be

y=8x+10

which is equivalent to the slope intercept form y=mx+c, where

m=8, slope of line

At x=0, y=10

Thus, $10 represents the y intercept

6 0
3 years ago
Read 2 more answers
A rocket lifted off from a launch pad and traveled vertically 30 km, then traveled 40 km at 30 degrees from the vertical, and th
nika2105 [10]
Well, we are told that in the beginning, it has traveled 30km vertically, so do not forget to add that on at the end.

Next it says that it traveled 40km 30 degrees from vertical, so we set up a sin equation to solve for the missing side, n:

sin(angle)= opposite/hypotenuse:

sin(30) = n/40

40sin30=n

n=20km

Then it says at an angle of 45 degrees, it goes 100km. This means that we are given the hypotenuse of a right triangle, and we need to find the side that goes up and down. We shall call this length x.

We know that the angle opposite x is 45 degrees.

So, we will use sin to solve for x:

sin(angle)= opposite/hypotenuse

sin45= x/100

100sin45=x

x=70.711km

But remember, I said not to forget about that 30km from the very beginning? So we add up all of our vertical heights:

30km + 20km+ 70.711km = 120.711km
3 0
3 years ago
Read 2 more answers
A soccer goal is 24 feet wide. Point A is 40 feet in front of the center of the goal. Point B is 40
Liono4ka [1.6K]

Answer:

a) Angles A and B are 90 degree.

b) The 2 angles are equal

c) From point A having a better chance to kicking the ball in to goal

Step-by-step explanation:

a, b) 2 points are in front of the center and right post of goal. Because there is no detail, we can assume that point A, point B, center of goal, right goal post make up a rectangle. Therefore, the 2 angles are measured equally as 90 degree.

c) Because it's a rectangle, the distance between point A and center of goal is shorter than that between point B and center of goal.

3 0
3 years ago
Which choice correctly shows rounding to the hundredths place?
Romashka-Z-Leto [24]
Choice A is false because they are rounding to the nearest tenth (one decimal place) and not nearest hundredth (two decimal places)

Choice B is false as well because 3.825 should round to 3.83. The 5 at the end tells you to round up. 

Choice C is false too. The value 3.824 should round to 3.82. Not sure how they got 3.81, so it seems like a deliberate trick question or silly answer.

Choice D is true. The three decimal values are rounded properly to the correct number of decimal places. 

Therefore choice D is the answer
4 0
3 years ago
Read 2 more answers
Scores on a university exam are Normally distributed with a mean of 78 and a standard deviation of 8. The professor teaching the
mafiozo [28]

Answer:

Porcentage of students score below 62 is close to 0,08%

Step-by-step explanation:

The rule

68-95-99.7

establishes:

The intervals:

[ μ₀ - 0,5σ ,  μ₀ + 0,5σ] contains 68.3 % of all the values of the population

[ μ₀ - σ ,  μ₀ + σ]   contains 95.4 % of all the values of the population

[ μ₀ - 1,5σ ,  μ₀ + 1,5σ] contains 99.7 % of all the values of the population

In our case such intervals become

[ μ₀ - 0,5σ ,  μ₀ + 0,5σ]   ⇒  [ 78 - (0,5)*8 , 78 + (0,5)*8 ]  ⇒[ 74 , 82]

[ μ₀ - σ ,  μ₀ + σ]  ⇒ [ 78 - 8 , 78 +8 ]   ⇒  [ 70 , 86 ]

[ μ₀ - 1,5σ ,  μ₀ + 1,5 σ]  ⇒ [ 78 - 12 , 78 + 12 ]  ⇒ [ 66 , 90 ]

Therefore the last interval

[ μ₀ - 1,5σ ,  μ₀ + 1,5 σ]    ⇒  [ 66 , 90 ]

has as lower limit 66 and contains 99.7 % of population, according to that the porcentage of students score below 62 is very small, minor than 0,15 %

100 - 99,7  = 0,3 %

Only 0,3 % of population is out of   μ₀ ± 1,5 σ, and by symmetry 0,3 /2 = 0,15 % is below the lower limit, 62 is even far from 66 so we can estimate, that the porcentage of students score below 62 is under 0,08 %

6 0
3 years ago
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