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2 years ago

Use the table of values to find the function's values. If x = 0, then f(0) = . If f(x) = 27, then x =

Mathematics

2 answers:

Afina-wow [57]2 years ago

7 0

Answer:

x = 0 =

f ( 0 ) = 27

x = 27

tatyana61 [14]2 years ago

3 0

Answer:

Step-by-step explanation:

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Water flows straight down from an open faucet. The cross-sectional area of the faucet is 1.00 × 10 − 4 m², and the speed of the

Setler79 [48]

Answer: $A_2=0.349\times 10^{-4} m^2$

Step-by-step explanation:

Given

velocity $v_1=0.72 m/s$

Area of cross-section $A_1=1\times 10^{-4} m^2$

velocity after Falling 0.19 m

$v_2^2-v_1^2=2g\cdot h$

$v_2^2=v_1^2+2g\cdot h$

$v_2^2=(0.72)^2+2\times 9.8\times 0.19$

$v_2^2=0.518+3.724$

$v_2=\sqrt{4.24}$

$v_2=2.05 m/s$

conserving Flow

$A_1v_1=A_2v_2$

$1\times 10^{-4}\times 0.72=A_2\times 2.05$

$A_2=0.349\times 10^{-4} m^2$

8 0

2 years ago

The Blair family was one of the first to come to the original 13 colonies (now part of the USA). They had 4 children. Assuming t

Mumz [18]

Answer:

31.25% probability that the Blair family had at least 3 girls

Step-by-step explanation:

For each children, there are only two possible outcomes. Either it was a girl, or it was not. The probability of a child being a girl is independent of any other children. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

They had 4 children.

This means that $n = 4$

The probability of a child being a girl is 0.5

This means that $p = 0.5$

Probability of at least 3 children:

$P(X \geq 3) = P(X = 3) + P(X = 4)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 3) = C_{4,3}.(0.5)^{3}.(0.5)^{1} = 0.25$

$P(X = 4) = C_{4,4}.(0.5)^{4}.(0.5)^{0} = 0.0625$

$P(X \geq 3) = P(X = 3) + P(X = 4) = 0.25 + 0.0625 = 0.3125$

31.25% probability that the Blair family had at least 3 girls

3 0

2 years ago

What is the reciprocal of 8/9

Fed [463]

Answer: 1 1/8

Step-by-step explanation:

8/9

=9/8

=1 1/8

5 0

2 years ago

Read 2 more answers

Which triangles in the diagram are congruent?

GenaCL600 [577]

Answer: triangle 1, triangle 2, and triangle 3

Step-by-step explanation:

Triangles 1 and 3 are congruent by SAS. So, by CPCTC, all three sides are congruent, making triangle 2 congruent to them as well by SSS.

4 0

1 year ago

The data set shows the number of practice free throws players in a basketball competition made and the number of free throws the

Mila [183]

Answer-

The exponential model best fits the data set.

Solution-

x = input variable = number of practice throws

y = output variable = number of free throws

Using Excel, Linear, Quadratic and Exponential regression model were generated.

The best fit equation and co-efficient of determination R² are as follows,

Linear Regression

Quadratic Regression

Exponential Regression

The value of co-efficient of determination R² ranges from 0 to 1, the more closer its value to 1 the better the regression model is.

Now,

Therefore, the Exponential Regression model must be followed.

5 0

2 years ago