1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
maxonik [38]
3 years ago
6

Write an inequality that represents the verbal expression. 9 less than a number n is less than 17.

Mathematics
2 answers:
bekas [8.4K]3 years ago
7 0
9>n>17
it means that n can be whatever number between 9 and 17
DaniilM [7]3 years ago
6 0

Answer:

<h2>9<n<17.</h2>

Step-by-step explanation:

9 less than a number <em>n</em> is less than 17. This verbal expression can be represented as a mathematical expression.

First, we observe that it says "9 less than", this is expressed like 9<, but less than who? it says "less than <em>n"</em>, so it would be 9<n.

In second place, the expression continues, <em>n </em>is less than 17, which is expressed like n<17.

At last, we unite both parts, and we have:

9<n<17.

You might be interested in
Suppose we are interested in analyzing the weights of NFL players. We know that on average, NFL players weigh 247 pounds with a
tigry1 [53]

Answer:

SE= \frac{\sigma}{\sqrt{n}} = \frac{47}{\sqrt{30}}= 8.58

ME= 1.64 *\frac{\sigma}{\sqrt{n}} = 1.64*\frac{47}{\sqrt{30}}= 14.073

\bar X - ME = 237- 14.073 = 222.927

\bar X + ME = 237+ 14.073 = 251.073

n=(\frac{1.640(47)}{5})^2 =237.65 \approx 238

So the answer for this case would be n=238 rounded up to the nearest integer

Null hypothesis:\mu \geq 247  

Alternative hypothesis:\mu  

z=\frac{237-247}{\frac{47}{\sqrt{30}}}=-1.165  

p_v =P(z  

If we compare the p value and the significance level given \alpha=0.1 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can't conclude that the true mean is lower than 247 at 10% of significance.

Step-by-step explanation:

For this case we have the following data given:

\bar X =237 represent the sample mean

\sigma = 47 represent the population deviation

n =30 represent the sample size selected

\mu_0 = 247 represent the value that we want to test.

The standard error for this case is given by:

SE= \frac{\sigma}{\sqrt{n}} = \frac{47}{\sqrt{30}}= 8.58

For the 90% confidence the value of the significance is given by \alpha=1-0.9 = 0.1 and \alpha/2 = 0.05 so we can find in the normal standard distribution a quantile that accumulates 0.05 of the area on each tail and we got:

z_{\alpha/2}= 1.64

And the margin of error would be:

ME= 1.64 *\frac{\sigma}{\sqrt{n}} = 1.64*\frac{47}{\sqrt{30}}= 14.073

The confidence interval for this case would be given by:

\bar X - ME = 237- 14.073 = 222.927

\bar X + ME = 237+ 14.073 = 251.073

The margin of error is given by this formula:

ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}    (a)

And on this case we have that ME =5 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

n=(\frac{z_{\alpha/2} \sigma}{ME})^2   (b)

Replacing into formula (b) we got:

n=(\frac{1.640(47)}{5})^2 =237.65 \approx 238

So the answer for this case would be n=238 rounded up to the nearest integer

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the true mean is lower than 247 pounds, the system of hypothesis would be:  

Null hypothesis:\mu \geq 247  

Alternative hypothesis:\mu  

Since we know the population deviation, is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:  

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}} (1)  

z-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:  

z=\frac{237-247}{\frac{47}{\sqrt{30}}}=-1.165  

P-value  

Since is a left tailed test the p value would be:  

p_v =P(z  

Conclusion  

If we compare the p value and the significance level given \alpha=0.1 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can't conclude that the true mean is lower than 247 at 10% of significance.

5 0
3 years ago
Image attached, please help.
tia_tia [17]

Answer:

 B 3x: 51  = 3x+24: 85

Step-by-step explanation:

Since the triangles are similar

PS             PQ

------- =  -----------

PT                PR


Substitute the values in

3x             3x+24

------- =  -----------

51         85



3x: 51  = 3x+24: 85

4 0
3 years ago
Which is the correct algebraic representation for the area of a circle?
fiasKO [112]
B because pie radius square = area of a circle
4 0
3 years ago
Which expression has the largest coefficient. Will mark brainliest. Plz include explanation.
slamgirl [31]

Answer:

Expression 3

Step-by-step explanation:

State that a coefficient is a multiplicative factor, is a number in front of a variable, in some term of a polynomial.

The coefficients of the expression 3, for example, are 3, 7 and 24.

4 0
3 years ago
Given figure LMNO ~ figure STUV, what is the value of x? LMNO has 4.1 in and 22. in and STUV has 12.3 in
Furkat [3]
Set up a proportion:

4.1/22 = 12.3/x

Cross multiply:

4.1 * x = 22 * 12.3

4.1x = 270.6

Divide 4.1 to both sides:

x = 66
7 0
3 years ago
Read 2 more answers
Other questions:
  • A website randomly creates an initial password for people when they first sign up for an account. The password consists of five
    14·2 answers
  • (1-4x+y)(-3) distributive property you have to remove the parentheses
    12·1 answer
  • Nancy has 500 pins.Junior has 300 pins.How many does junior needs to get up to 100,000?
    7·2 answers
  • Please help !!!!!!!11
    9·1 answer
  • X is greater than or equal to 11
    9·1 answer
  • What equation represents the line passing through the points (3,2) and (-9,6)
    15·1 answer
  • What would be the best first step in solving this system?​
    15·1 answer
  • Elle decreased her monthly budget from $250 to $200. Calculate the percent decrease
    10·1 answer
  • I need this before 10 so please answer quickly
    15·1 answer
  • If the domain (or pre-image) is (-4, -2), (5, 9), (-6, 2) and the range (or image) is
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!