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2 years ago

The present age of Alex is ‘y’ years. Answer the following

Mathematics

2 answers:

jok3333 [9.3K]2 years ago

6 0

hey buddy here is your answer!!

a) 5 + y

(b) y - 6

(c) 5y

(d) 6 + 3y

hope it helps you

skelet666 [1.2K]2 years ago

5 0

Answer:

(a) After 5 years what will be his age?

"5 + y" years old

(b) What was his age 6 years back?

"y - 6" years old

"5y" years old

(d) His father’s age is 6 years more than 3 times his age. What is his father’s age?

"6 + 3y" years old

Note: Ignore the quotation marks, ""

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Using synthetic division, find (2x4 + 4x3 + 2x2 + 8x + 8) ÷ (x + 2).

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it is 4 because i used plato and used the answer key

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2 years ago

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Minute Maid states that a bottle of juice contains 473 mL. Consumer groups are interested in determining if the bottles contain

olga2289 [7]

Answer:

Option C) The average contents of all bottles of juice in the population, which is 473 mL

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 473 mL

Sample mean, $\bar{x}$ = 472 mL

Sample size, n = 30

Sample standard deviation, σ = 0.2

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 473\text{ mL}\\H_A: \mu < 473\text{ mLinches}$

Representation of $\mu$

$\mu$ is the population parameter that represents the population mean.

Thus, for the given situation $\mu$ represents:

Option C) The average contents of all bottles of juice in the population, which is 473 mL

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2 years ago

What are the zeros of the function f(x) = x2 + 5x + 5 written in simplest radical form? Quadratic formula: x = x = x = x = x =

irinina [24]

X²+5x+5 has zeroes given by x=(-5±√25-20)/2=(-5±√5)/2=-1.3820 and -3.6180.
In simplest radical form the zeroes are -5/2+√5/2 and -5/2-√5/2.

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A researcher gathers data on the length of essays (number of lines) and the SAT scores received for a sample of students enrol

LenaWriter [7]

Answer:

Step-by-step explanation:

Let's suppose that we have the following linear model:

$y= \beta_o +\beta_1 X$

Where Y is the dependent variable and X the independent variable. $\beta_0$ represent the intercept and $\beta_1$ the slope.

In order to estimate the coefficients $\beta_0 ,\beta_1$ we can use least squares estimation.

If we are interested in analyze if we have a significant relationship between the dependent and the independent variable we can use the following system of hypothesis:

Null Hypothesis: $\beta_1 = 0$

Alternative hypothesis: $\beta_1 \neq 0$

Or in other wouds we want to check is our slope is significant.

In order to conduct this test we are assuming the following conditions:

a) We have linear relationship between Y and X

b) We have the same probability distribution for the variable Y with the same deviation for each value of the independent variable

c) We assume that the Y values are independent and the distribution of Y is normal

The significance level is provided and on this case is $\alpha=0.05$

The standard error for the slope is given by this formula:

$SE_{\beta_1}=\frac{\sqrt{\frac{\sum (y_i -\hat y_i)^2}{n-2}}}{\sqrt{\sum (X_i -\bar X)^2}}$

Th degrees of freedom for a linear regression is given by $df=n-2$ since we need to estimate the value for the slope and the intercept.

In order to test the hypothesis the statistic is given by:

$t=\frac{\hat \beta_1}{SE_{\beta_1}}$

The confidence interval for the slope would be given by this formula:

$\hat \beta_1 + t_{n-2, \alpha/2} \frac{\sqrt{\frac{\sum (y_i -\hat y_i)^2}{n-2}}}{\sqrt{\sum (X_i -\bar X)^2}}$

And using the last formula we got that the confidence interval for the slope coefficient is given by:

$-0.88 < \beta_1$

IF we analyze the confidence interval contains the value 0. So we can conclude that we don't have a significant effect of the slope on this case at 5% of significance. And the best option would be:

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2 years ago

The distance between B and C

alina1380 [7]

Answer:

The answer is