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maks197457 [2]
3 years ago
13

In June, Tara gathered data about amusement park attendance on days with different temperatures. Tara used the equation y=−3.5x+

400 to model the number of children, y, at the amusement park as a function of the temperature, x. On a day in July, the temperature was 90°F and there were 60 children at the park. Which is the residual of this data point?
Mathematics
1 answer:
sergij07 [2.7K]3 years ago
6 0

Answer:

25

Step-by-step explanation:

Given the model:

y=−3.5x+400

Number of children in amusement park = y

Temperature = x

On a certain day:

Temperature = 90°F

Number of children in park = 60

Using the model :

The predicted number of children in park when temperature is 90°F would be :

y = - 3.5(90) + 400

y = - 315 + 400

y = 85

Model prediction = 85 children

Actual figure = 60

Residual :

|Actual - predicted | = |60 - 85| = 25 children

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What is the probability that both of Eduardo's partners for the group project will be girls? StartFraction 9 Over 65 EndFraction
tester [92]

Answer:

StartFraction 24 Over 65 EndFraction

Step-by-step explanation:

Total number of students = 26

Number of boys = 10

Number of girls = 26-10

=16

Eduardo has to pull two names out of the hat without replacing them.

First name

Probability= Favourable outcome/Total outcome

Probability of girls=16

Total probability=26

Eduardo has to pull two names out of the hat without replacing them.

Probability= Favourable outcome/Total outcome

=16/26

=8/13

For the second name:

Without replacement of the first hat

Probability of girls=16-1=15

Total probability=26-1=25

Probability= Favourable outcome/Total outcome

=15/25

=3/5

Probability of both of Eduardo's partner for the group project will be girls=8/13*3/5

=24/65

StartFraction 24 Over 65 EndFraction

4 0
3 years ago
Someone please help me answer this!!
aivan3 [116]

Answer:

8 units is the answer.

Step-by-step explanation:

Pythagorean theorem can be written as,

d=\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} \\\\d=\sqrt{(9-9)^2 + (-7-1)^2}\\\\d=\sqrt{(0\\)^2+(-8)^2} \\\\d=\sqrt{64} \\\\d=8

∴ d = 8 units

3 0
3 years ago
Judah collects toy cars.He buys his cars in packs of 12,18 and 24.He wants to arrange them in rows but all the rows have to be a
polet [3.4K]
For this case what we can do first is to take an average of the number of cars.
 We have then:
 P = (12 + 18 + 24) / (3)
 P = 18
 In other words, you can organize your cars in rows of 3 where each row will have 18 cars.
 Answer:
 three rows, 18 cars per row.
4 0
3 years ago
Use a bar model to find the unknown value: 3/6 = ?/7
Grace [21]
3/6 = x/7
Multiply x and 6, 3 and 7:
6x = 7*3
x = 21/6
x = 7/2
7 0
4 years ago
Jerald jumped from a bungee tower. If the equation that models his height, in feet, is h = –16t2 + 729, where t is the time in s
Snezhnost [94]

Answer. First option: t > 6.25


Solution:

Height (in feet): h=-16t^2+729

For which interval of time is h less than 104 feet above the ground?

h < 104

Replacing h for -16t^2+729

-16t^2+729 < 104

Solving for h: Subtracting 729 both sides of the inequality:

-16t^2+729-729 < 104-729

-16t^2 < -625

Multiplying the inequality by -1:

(-1)(-16t^2 < -625)

16t^2 > 625

Dividing both sides of the inequality by 16:

16t^2/16 > 625/16

t^2 > 39.0625

Replacing t^2 by [ Absolute value (t) ]^2:

[ Absolute value (t) ]^2 > 39.0625

Square root both sides of the inequality:

sqrt { [ Absolute value (t) ]^2 } > sqrt (39.0625)

Absolute value (t) > 6.25

t < -6.25 or t > 6.25, but t can not be negative, then the solution is:

t > 6.25



5 0
4 years ago
Read 2 more answers
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