MATHEMATICS COLLEGE

Use the number 7.14 to respond to the following:Identify the whole number.

What is the farthest place value to the right?

Write the decimal in word form.

Write the decimal in expanded form.

Answers

Answer 1

Answer:

9514 1404 393

Answer:

7
hundredths
seven and fourteen hundredths
7+.1 +.04

Step-by-step explanation:

Given:

7.14

Find:

the whole number
the farthest place value to the right
the decimal in word form
the decimal in expanded form

Solution:

a) The whole number is the integer portion, the part of the number to the left of the decimal point: 7.

b) The right-most place value is hundredths.

c) seven and fourteen hundredths

d) There are several versions of "expanded form." Choose the one applicable to your curriculum.

7.14 = 7 +0.1 + 0.04

7.14 = 7×1 + 1×.1 + 4×.01

7.14 = 7×10⁰ +1×10⁻¹ +4×10⁻²

Related Questions

How do you answer 8 - 1 1/6=
-3 < 5 true or false
By what factor is z multiplied to get z1?
1/2(3/5x-8)+7/4(2/5x+4)
F(x)=x 3−6f, left parenthesis, x, right parenthesis, equals, x, start superscript, 3, end superscript, minus, 6h(x)=\sqrt[\Large3]{2x-15}h(x)= 32x−15 h, left parenthesis, x, right parenthesis, equals, root, start index, 3, end index, square root of, 2, x, minus, 15, end square rootWrite f(h(x))f(h(x))f, left parenthesis, h, left parenthesis, x, right parenthesis, right parenthesis as an expression in terms of xxx.f(h(x))=f(h(x))=f, left parenthesis, h, left parenthesis, x, right parenthesis, right parenthesis, equals

Which inequality's solution is graphed here? A) 3x + 5 > 3 Eliminate B) 3x - 5 > 3 C) 5x + 3 > 3 D) 5x - 3 > 3

Answers

The equation of line passing through points (-4, 1) and (2, 3) will be

3y = x + 7

What is the general equation of a Straight line inequality?

An inequality in mathematics compares two values or expressions, showing if one is less than, greater than, or simply not equal to another value. The general equation of a straight line inequality is -

[y] < [m]x + [c]

[y] > [m]x + [c]

[y] ≥ [m]x + [c]

[y] ≤ [m]x + [c]

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

The equation of a straight lineinequality can be also written as -

Ax + By + C > 0

By > - Ax - C

y > (- A/B)x - (C/A)

Given is inequality's solution graphed [Refer to graph attached].

The inequality whose solution is graphed is -

5x + 3 > 3

On solving -

5x + 3 > 3

5x + 3 - 3 > 3 - 3

5x > 0

x > 0

Therefore, the inequality whose solution is graphed is

5x + 3 > 3

(Refer the image attached, for reference)

To solve more questions on inequalities, visit the link below -

brainly.com/question/1782515

#SPJ5

Here is the graph
The Answer is C) 5x + 3 > 3

HELP!! Find the value of x in the triangle!! 20PTS!!

Answers

Answer:

x = 5°

Step-by-step explanation:

We know that in a triangle, the measure of an exterior angle is equal to the sum of its two remote interior angles, therefore:

7x + 4 + 61 = 20x

7x + 65 = 20x

13x = 65

x = 5°

Answer:

Solution given:

61°+(7x+4)°=20x [ exterior angle is equal to the sum of two opposite interior angle]

65+7x=20x

65=20x-7x

13x=65°

x= $(65)/(13)$ =5°

value of x=5°

A equal t added to 258

write the sentence as an equal

Answers

Answer:

A=t+258

Step-by-step explanation:

What is the standard form of the number shown in this calculator display?{ The calculator shows three point eight two e positive seven. }(3.82e+7)

Answers

Answer:

The required standard form is 38,200,000.

Step-by-step explanation:

Consider the provided number.

The calculator shows the number 3.82e+7

E notation is the same as the scientific notation the only difference is the letter e is substituted for "× 10^".

Here, the e+7 means $10^7$

Thus the provided number can be written as:

$3.82* 10^7$

$3.82* 10000000$

Now expand it, just move the decimal point over 7 place to right as shown:

$38,200,000$

Hence, the required standard form is 38,200,000.

e+7 means 10^+7
basically move the decimal place 7 placs to right so it would be aprox
38200000.0

In a manual on how to have a number one song, it is stated that a song must be no longer than 210 seconds. A simple random sample of 40 current hit songs results in a mean length of 241.4 sec. and a standard deviation of 57.59 sec. Use a 0.05 significance level and the accompanying minitab display to test the claim that the sample is from a population of songs with a mean great thatn 210 sec. What do these results suggest about the advice given in the manual.The mini tab displays the following:

One-sample T

Test of mu=210 vs.>210

N Mean St. Dev SE Mean 95% lower bound T p

40 241.40 57.59 9.11 226.06 3.45 0.001

A H0 u>210 sec. H1 u < 210sec

B H0 u=210 sec. H1 u < 210sec

C H0 u<210 sec. H1 u> 210sec

D H0 u=210 sec. H1 u> 210sec

Identify the test statistic:

T =

Identify the P-Value

P-value=

Stat the final conclusion that addresses the original claim. Choose from below:

A. Reject H0. There is insufficient evidence to support the claim that the sample is from a population of songs with a mean length greater than 210 sec.
B. Fail to reject H0. There is insufficient evidence to support the claim that the sample is from a population of songs with a mean length great thatn 210 sec.
C. Reject H0. There is sufficient evidence to spport the claim that the sample is from a population of songs with a mean length greater than 210 sec.
D. Fail to reject H0. There is sufficient evidence to support the claim tha tthe sample is from a population of songs with a mean lenght greater than 210 sec.

What do the results suggest about the advice given in the manual?

A. The results do not suggest that the advice of writing a song that must be no longer than 210 seconds is not sound advice.
B The results suggest that the advice of writing a song that must be no longer than 210 seconds is not sound advice
C. The results suggest that 241.4 seconds is the best song lenght.
D. The results are inconclusive because the average length of a hit song is constantly changing.

Answers

Answer:

D H0 u=210 sec. H1 u> 210sec

$t=(241.4-210)/((57.59)/(√(40)))=3.448$

$p_v =P(t_((39))>3.448)=0.000684$

C. Reject H0. There is sufficient evidence to spport the claim that the sample is from a population of songs with a mean length greater than 210 sec.

Step-by-step explanation:

Data given and notation

$\bar X=241.4$ represent the sample mean

$s=57.59$ represent the sample standard deviation for the sample

$n=40$ sample size

$\mu_o =210$ represent the value that we want to test

$\alpha=0.05$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean is greater than 210 seconds, the system of hypothesis would be:

Null hypothesis: $\mu \leq 210$

Alternative hypothesis: $\mu > 210$

If we analyze the size for the sample is > 30 but we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=(\bar X-\mu_o)/((s)/(√(n)))$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) the info given like this:

$t=(241.4-210)/((57.59)/(√(40)))=3.448$

P-value

The first step is calculate the degrees of freedom, on this case:

$df=n-1=40-1=39$

Since is a one side test the p value would be:

$p_v =P(t_((39))>3.448)=0.000684$

Conclusion

If we compare the p value and the significance level given $\alpha=0.05$ we see that $p_v<\alpha$ so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the mean is significantly higher than 210 seconds.