Find the equation of the line that passes through points a and b. Please help.

Clayton biked 3/8 of the 14.5 miles between his house and the beach.How many miles does he still need to bike before he reaches

Gekata [30.6K]

Explanation: Given: Clayton bikes 3/8 of 14.5 miles. 38⋅14.51=43.58=5.4375 miles biked. Left to bike to beach: 14.4−5.4375=9.0625 miles. OR. 38 biked, means 58 left to bike: 58⋅14.51=72.58=9.0625 miles. Was this helpful?

4 0

3 years ago

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) There are 8 children in Sophie's preschool class. During free time yesterday, 1 of them

Klio2033 [76]

Using it's concept, it is found that there is a 0.125 = 12.5% experimental probability that a randomly selected preschooler would choose to read books today.

<h3>What is a probability?</h3>

A probability is given by the number of desired outcomes divided by the number of total outcomes.

For an experimental probability, these numbers of outcomes are taken from previous trials.

In this problem, in the previous trial, one out of eight students read a book, hence:

p = 1/8 = 0.125 = 12.5%.

There is a 0.125 = 12.5% experimental probability that a randomly selected preschooler would choose to read books today.

More can be learned about probabilities at brainly.com/question/14398287

5 0

2 years ago

Solve for x 7x-2x+15=10

Juliette [100K]

The answer is -1....................

5 0

3 years ago

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6x + -2y² + 4xy² + 3x² + 5xy² simplify it

r-ruslan [8.4K]

$\large\displaystyle\text{$\begin{gathered}\sf 6x+-2y^{2}+4xy^{2}+3x^{2} +5xy^{2} \end{gathered}$}$

$\large\displaystyle\text{$\begin{gathered}\sf Group\:like\:terms \end{gathered}$}$

$\large\displaystyle\text{$\begin{gathered}\sf =3x^2+6x-2y^2+4xy^2+5xy^2 \end{gathered}$}$

$\large\displaystyle\text{$\begin{gathered}\sf Sum\:similar\:elements:\:4xy^2+5xy^2=9xy^2 \end{gathered}$}$

$\boxed{\large\displaystyle\text{$\begin{gathered}\sf 3x^2+6x-2y^2+9xy^2 \end{gathered}$} }$

7 0

2 years ago

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Given a population with a mean of muμequals=100100 and a variance of sigma squaredσ2equals=3636, the central limit theorem appl

lakkis [162]

Answer:

a) $\bar X \sim N(100,\frac{6}{\sqrt{25}}=1.2)$

$\mu_{\bar X}=100$ $\sigma^2_{\bar X}=1$

b) $P(\bar X >101)=1-P(\bar X$

c) $P(\bar X$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

The complement rule is a theorem that provides a connection between the probability of an event and the probability of the complement of the event. Lat A the event of interest and A' the complement. The rule is defined by: $P(A)+P(A') =1$