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2 years ago

Label the place value for 987,164.302

Mathematics

2 answers:

timama [110]2 years ago

8 0

Step-by-step explanation:

We are asked to write the place values for the number 987,164.302.

Let us place value of each digit.

Ones: 4

Tens: 6

Hundreds: 1

Thousands: 7

Ten thousands: 8

Hundred thousands: 9

Tenths: 3

Hundredths: 0

Thousandths: 2

alexdok [17]2 years ago

7 0

9 hundred thousands
8 ten thousands
7 thousands
1 hundreds
6 tens
4 ones
.3 tenths
.00 hundredths
.002 thousandths

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Determine which functions have two real number zeros by calculating the discriminant, b2 – 4ac. Check all that apply. Please ans

timama [110]

The discriminant of a quadratic equation is the b^2-4ac portion that the square root is taken of. If the discriminant is negative, then the function has 2 imaginary roots, if the discriminant is equal to 0, then the function has only 1 real root, and finally, if the discriminant is greater than 0, the function has 2 real roots. So let's look at the equations and see which have a positive discriminant. f(x) = x^2 + 6x + 8 6^2 - 4*1*8 36 - 32 = 4 Positive, so f(x) has 2 real roots. g(x) = x^2 + 4x + 8 4^2 - 4*1*8 16 - 32 = -16 Negative, so g(x) does not have any real roots h(x) = x^2 â€“ 12x + 32 -12^2 - 4*1*32 144 - 128 = 16 Positive, so h(x) has 2 real roots. k(x) = x^2 + 4x â€“ 1 4^2 - 4*1*(-1) 16 - (-4) = 20 Positive, so k(x) has 2 real roots. p(x) = 5x^2 + 5x + 4 5^2 - 4*5*4 25 - 80 = -55 Negative, so p(x) does not have any real roots t(x) = x^2 â€“ 2x â€“ 15 -2^2 - 4*1*(-15) 4 - (-60) = 64 Positive, so t(x) has 2 real roots.

4 0

2 years ago

Read 2 more answers

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

For a data set of weights (pounds) and highway fuel consumption amounts (mpg) of seven types of automobile, the linear correl

ololo11 [35]

Answer:

The P-value indicates that the probability of a linear correlation coefficient that is at least as extreme is__3.5%___ which is___significant_(at α=0.05)_ so there _is_ sufficient evidence to conclude that there is a linear correlation between weight and highway fuel consumption in automobiles.

Step-by-step explanation:

Correlation coefficient shows the relation between the weights and highway fuel consumption amounts of seven types of automobile.

P-value states the significance of this relationship. If the p-value is lower than a significance level (for example 0.05) then the relation is said to be significant.

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2 years ago

Monica reads 7 1/2 pages of a mystery book in 9 minutes. What is her average rate in pages per minute

Anna007 [38]

the answer is the number of pages divided by the number of minutes.

7.5/9=0.833333, so she reads on average 0.83 pages per minute

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2 years ago

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Mr. Abraham is 36 years old. His wife is 6 years younger than him and their son is 24 years old younger than his wife. What is t

sesenic [268]

Hi!
We know that Mr. Abraham’s wife is 6 years younger than him, which is 36-6, which means his wife is 30 years old.

We also know that Mr A’s son is 24 years younger than his wife, which is 30-24, which is 6.

As of right now, we now know that:
Mr. A is 36
Mr. A’s wife is 30
Mr. A’s son is 6

It’s asking for the ratio of Him:Wife:Son, so 36:30:6.

BUT, it’s asking for simplest form, so divide each of those numbers by 6.

Your answer is: 6:5:1

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2 years ago