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
yaroslaw [1]
3 years ago
10

your school is setting up a row of 5 tables for a craft fair. each table is 72 inches long. the space between each pair of neigh

boring tables must be 48 inches. write and evaluate an expression to find the length of the space needed for the tables from the beginning of the first table to the end of the last table.
Mathematics
2 answers:
juin [17]3 years ago
6 0

The total space needed is 600 feet. Because 5 tables times 72 feet is 360 and 5 tables times 48 feet a part is 249. You add them and it comes out to be 600. It should be worked out like this 5(72+48)

EastWind [94]3 years ago
4 0

Okay assuming I understand the question right, there are 5 tables running 72 inches long with 48 inches in between. If x is a table, and o is space, how can we arrange 5 x's with a space in between? xoxoxoxox. Note how we only use 4 o's for 5x's. We don't need space outside of the tables, just in between them.

With this, let's do some math. If we have 5 x's, that's 5 tables, which means that our length from the tables are going to be 5*72=360 inches.

We have 4 spaces, at 48 inches each is going to take up 4*48=192

Adding up both, 192+360=552 inches.

552 inches of length is needed.

You might be interested in
PLS HELP<br> Solve |x|+7&lt;4
malfutka [58]

Its the first answer

7 0
3 years ago
Because of staffing decisions, managers of the Gibson-Marion Hotel are interested in the variability in the number of rooms occu
olchik [2.2K]

Answer:

a) s^2 =30^2 =900

b) \frac{(19)(30)^2}{30.144} \leq \sigma^2 \leq \frac{(19)(30)^2}{10.117}

567.28 \leq \sigma^2 \leq 1690.224

c) 23.818 \leq \sigma \leq 41.112

Step-by-step explanation:

Assuming the following question: Because of staffing decisions, managers of the Gibson-Marimont Hotel are interested in  the variability in the number of rooms occupied per day during a particular season of the  year. A sample of 20 days of operation shows a sample mean of 290 rooms occupied per  day and a sample standard deviation of 30 rooms

Part a

For this case the best point of estimate for the population variance would be:

s^2 =30^2 =900

Part b

The confidence interval for the population variance is given by the following formula:

\frac{(n-1)s^2}{\chi^2_{\alpha/2}} \leq \sigma^2 \leq \frac{(n-1)s^2}{\chi^2_{1-\alpha/2}}

The degrees of freedom are given by:

df=n-1=20-1=19

Since the Confidence is 0.90 or 90%, the significance \alpha=0.1 and \alpha/2 =0.05, the critical values for this case are:

\chi^2_{\alpha/2}=30.144

\chi^2_{1- \alpha/2}=10.117

And replacing into the formula for the interval we got:

\frac{(19)(30)^2}{30.144} \leq \sigma^2 \leq \frac{(19)(30)^2}{10.117}

567.28 \leq \sigma^2 \leq 1690.224

Part c

Now we just take square root on both sides of the interval and we got:

23.818 \leq \sigma \leq 41.112

5 0
3 years ago
Solve the equation <br>y=2x-4, 3x+y=11​
Ostrovityanka [42]

Answer:

(3, 2)

Step-by-step explanation:

Given the 2 equations

y = 2x - 4 → (1)

3x + y = 11 → (2)

Substitute y = 2x - 4 into (2)

3x + 2x - 4 = 11

5x - 4 = 11 ( add 4 to both sides )

5x = 15 ( divide both sides by 5 )

x = 3

Substitute x = 3 into (1) for corresponding value of y

y = (2 × 3) - 4 = 6 - 4 = 2

Solution is (3, 2)

5 0
3 years ago
Read 2 more answers
Lynn plotted point G, 3 units to the left and 2 units above point F. Where did lynn plot point G?
kvasek [131]

Answer:

G = (2,6)

Step-by-step explanation:

See Attachment for Complete Question

From the attachment, we can see that F is plotted at

F = (5,4)

On the x axis, G is 3 units to the left;

And on the y axis, G is 2 units above

So, the coordinates of G is calculated as:

G = (5-3,4+2)

G = (2,6)

Hence:

<em>G is plotted at (2,6)</em>

4 0
3 years ago
The lengths of two sides of a triangle are 4 cm 4 cm and 20 cm . 20 cm. Identify the correct pair of measures between which the
Gennadij [26K]

Answer:

I think what you meant to say is "If a triangle has 2 sides that are 4 cm and 20 cm, what are the possible lengths of the third side?"

Basically, when given 2 sides of a triangle, the third side must be GREATER  than the DIFFERENCE of the other 2 sides and LESS than the SUM of the other 2 sides.

difference = 16 cm

sum = 24 cm

So, the third side must be greater than 16 cm and less than 24 cm

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • If x+y = z and y−z=x which of the following must be equal to z?
    6·1 answer
  • Marissa has $52 in her savings account. She earns $28 for each lawn she
    13·1 answer
  • Malaya thinks of two different plans she could use to save money in a bank account. The tables show the account balances for eac
    7·1 answer
  • 1.) Any measure representing the center of a set of data arranged in a decreasing or increasing order of magnitude.
    15·1 answer
  • Plz i REALLY need help. explain ur answer
    9·1 answer
  • 5. Is 7 a solution to the compound inequality "-3 &lt; x &lt; 6"
    15·1 answer
  • Allison can jog 3 blocks in the same amount of time it takes her brother, Blake, to jog 2 blocks. If they keep jogging at the sa
    13·2 answers
  • When the rectangle ABCD is reflected across line EF, the image is DCBA. How do you
    14·2 answers
  • OMG HELP RN
    9·1 answer
  • Please help!! The dot plots below show the ages of students belonging to two groups of salsa classes:
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!