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
liraira [26]
3 years ago
11

the length of a rectangle is 9 units more than the width of the rectangle, w. if the width of the rectangle is more than 20 unit

s, what equation could be used to find the possible values of the width?
Mathematics
1 answer:
Delvig [45]3 years ago
3 0

Answer:

W>20

Step-by-step explanation:

Let

L-----> the length of a rectangle

W---> the width of a rectangle

we know that

L=W+9 -----> equation A

W>20 -----> inequality B

The inequality B represent the equation that could be used to find the possible values of the width

The solution for the width of the rectangle  is all real numbers greater than 20 units

You might be interested in
Josie and Allanah are each saving money. Josie starts with 100$ per week in her savings account and adds 5$ per week. Allanah st
Natasha2012 [34]

Answer:

Josie: 100 + 5x

Allanah: 10 + 20x

x is to represent the unknown variable of how many times they will repeat this process.

4 0
3 years ago
Read 2 more answers
What else would need to be congruent to show that abc = xyz by asa
pochemuha
Since you're working with the ASA postulate, you're looking to show congruence of the angles at either end of a side. You're given side AC and angle A as congruent with their counterparts. Obviously, you also need to show congruence of angle C with its counterpart, angle Z.

selection B is appropriate
6 0
3 years ago
Dual-energy X-ray absorptiometry (DXA) is a technique for measuring bone health. One of the most common measures is total body b
sesenic [268]

Answer:

\bar d=\frac{\sum_{i=1}^n d_i}{n}=-0.001

s=\sqrt{\frac{\sum_{i=1}^n (x_i -\bar X)^2}{n-1}}=0.0095

-The sample is too small to make judgments about skewness or symmetry.

H0:\mu_{1}=\mu_{2}

H1:\mu_{1} \neq \mu_{2}

t=\frac{1.173-1.174}{\sqrt{\frac{0.1506^2}{8}+\frac{0.1495^2}{8}}}=-0.013

p_v =2*P(t_{(14)}

So the p value is a very high value and using any significance level for example \alpha=0.05, 0,1,0.15 always p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and a we don't have a significant difference between the two means.

Step-by-step explanation:

First we need to find the difference defined as:

(Operator 1 minus Operator 2)

d1=1.326-1.323=0.003      d2=1.337-1.322=0.015

d3=1.079-1.073=0.006     d4=1.229-1.233=-0.004

d5=0.936-0.934=0.002   d6=1.009-1.019=-0.01

d7=1.179-1.184=-0.005      d8=1.289-1.304=-0.015

Now we can calculate the mean of differences given by:

\bar d=\frac{\sum_{i=1}^n d_i}{n}=-0.001

And for the sample deviation we can use the following formula:

s=\sqrt{\frac{\sum_{i=1}^n (x_i -\bar X)^2}{n-1}}=0.0095

Describe the distribution of these differences using words. (which one is correct)

We can plot the distribution of the differences with the folowing code in R

differences<-c(0.003,0.015,0.006,-0.004,0.002,-0.01,-0.005,-0.015)

hist(differences)

And we got the image attached. And we can see that the distribution is right skewed but we don't have anough info to provide a conclusion with just 8 differnences.

-The sample is too small to make judgments about skewness or symmetry.

Use a significance test to examine the null hypothesis that the two operators have the same mean. Give the test statistic. (Round your answer to three decimal places.)

\bar X_{1}=1.173 represent the mean for the operator 1

\bar X_{2}=1.174 represent the mean for the operator 2

s_{1}=0.1506 represent the sample standard deviation for the operator 1

s_{2}=0.1495 represent the sample standard deviation for the operator 2

n_{1}=8 sample size for the operator 1

n_{2}=8 sample size for the operator 2

t would represent the statistic (variable of interest)

Concepts and formulas to use

We need to conduct a hypothesis in order to check if the means for the two groups are the same, the system of hypothesis would be:

H0:\mu_{1}=\mu_{2}

H1:\mu_{1} \neq \mu_{2}

If we analyze the size for the samples both are less than 30 so for this case is better apply a t test to compare means, and the statistic is given by:

t=\frac{\bar X_{1}-\bar X_{2}}{\sqrt{\frac{s^2_{1}}{n_{1}}+\frac{s^2_{2}}{n_{2}}}} (1)

t-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.

Calculate the statistic

We can replace in formula (1) like this:

t=\frac{1.173-1.174}{\sqrt{\frac{0.1506^2}{8}+\frac{0.1495^2}{8}}}=-0.013

Statistical decision

For this case we don't have a significance level provided \alpha, but we can calculate the p value for this test. The first step is calculate the degrees of freedom, on this case:

df=n_{1}+n_{2}-2=8+8-2=14

Since is a bilateral test the p value would be:

p_v =2*P(t_{(14)}

So the p value is a very high value and using any significance level for example \alpha=0.05, 0,1,0.15 always p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and a we don't have a significant difference between the two means.

8 0
3 years ago
Find the surface area of a sphere with a radius of 8cm
Andreas93 [3]
I believe the proper way to find the surface area of a sphere is 4 times 3.14 (which is Pi) times the radius squared. Or 4(3.14)*r^2.

Where I found 804.25
3 0
3 years ago
F(x)=x^3-2x^2-x what is f(-4)
steposvetlana [31]

Answer:

gdhjdjdjjdjudjdhhdjdhjdjjdjfhhd

5 0
3 years ago
Other questions:
  • Solve the equation: 3y - 7 = 5y + 21? Question 1 options: -20 -14 -7/2 14
    9·2 answers
  • The data below were gathered on a random sample of 5 basking sharks, swimming through the water and filter-feeding, i.e. letting
    12·2 answers
  • 4/9(y+3)=g solve for y
    9·1 answer
  • The base of an isosceles triangle is 5 and it's perimeter is 11. The base of a similar isosceles triangle is 10.What is the peri
    14·2 answers
  • Create an equivalent system of equations using the sum of the system and the first equation.
    9·1 answer
  • What is the value of 16(3) − wx16(3) - wx, when w = 20 and x = 1212
    7·1 answer
  • ✨ depression ✨ is cool • 901NTS R FR33​
    11·2 answers
  • I need help please it ​
    10·2 answers
  • This is 7th grade math so pls answer asap<br><br><br>1: v/8=2<br><br>2:16=k/11<br><br>3:18+m=8
    13·1 answer
  • What is the length of the missing leg?
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!