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Nuetrik [128]
3 years ago
12

Evaluate F(1)

Mathematics
1 answer:
KonstantinChe [14]3 years ago
8 0

ANSWER

B. 1

EXPLANATION

The given function is

f(x) =\left \{ {{x^{2} +3 (if) -5 \leq x< 1} \atop {x (if) 1 \leq x \leq 5 }} \right.

This is a piece-wise defined function.

We want to find f(1)

We substitute x=1 into f(x)=x because, 1 belongs to the interval,

1≤x≤5

f(1)=1

The correct answer is B.

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then combine like terms,
(-2x^3+2x^3), (-10x^2-10x^2), x
cancels out^
so the answer would be -20x^2+x
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It took Mary 40 minutes to run 8 laps around the playground, if she spent the same time running each lap, how long would it take
Sergeeva-Olga [200]

Answer:

it should take her 45 minutes to run 9 laps

Step-by-step explanation:

40/8 = 5

9*5 = 45

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A toy manufacturer wants to know how many new toys children buy each year. A sample of 1492 children was taken to study their pu
julia-pushkina [17]

By assuming the standard deviation of population 2.2 the confidence interval is 8.67 toys,8.94 toys.

Given sample size of 1492 children,99% confidence interval , sample mean of 8.8, population standard deviation=2.2.

This type of problems can be solved through z test and in z test we have to first find the z score and then p value from normal distribution table.

First we have to find the value of α which can be calculated as  under:

α=(1-0.99)/2=0.005

p=1-0.005=0.995

corresponding z value will be 2.575 for p=0.995 .

Margin of error=z*x/d

where x is mean and d is standard deviation.

M=2.575*2.2/\sqrt{1492}

=0.14

So the lower value will be x-M

=8.8-0.14

=8.66

=8.67 ( after rounding)

The upper value will be x+M

=8.8+0.14

=8.94

Hence the confidence interval will be 8.67 toys and 8.94 toys.

Learn more about z test at brainly.com/question/14453510

#SPJ4

8 0
2 years ago
One month Yoko rented 3 movies and 5 video games for a total of $40. The next month she rented 9 movies and 7 video games for a
KATRIN_1 [288]

Answer:

  • movie: $3.75
  • video game: $5.75

Step-by-step explanation:

Two equations in two unknowns can be written:

  3m +5v = 40

  9m +7v = 74

These can be solved a variety of ways. One of them is using Cramer's rule. It tells you the solution to

  • ax +by = c
  • dx +ey = f

is given by ...

  • ∆ = bd -ea
  • x = (bf -ec)/∆
  • y = (cd -fa)/∆

For the numbers above,

  • ∆ = 5·9 -7·3 = 24
  • m = (5·74 -7·40)/24 = 90/24 = 3.75
  • v = (40·9 -74·3)/24 = 138/24 = 5.75

The rental cost for each movie is $3.75; for each video game, it is $5.75.

___

The attached graph shows a graphing calculator solution to these equations.

5 0
3 years ago
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