answer.
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
S_A_V [24]
1 year ago
15

the area of a rectangle banquet hall is 7400 square feet. the length of one side of the hall is 82 feet. explain how you can use

compatable numbers to estimate the width of the hall
Mathematics
1 answer:
Vadim26 [7]1 year ago
5 0
We are given that the hall has a rectangular shape.
Area of rectangle can be calculated using the following rule:
Area of rectangle = length * width

We are also given that:
Area = 7400 square feet
length = 82 feet

Substitute with the givens in the above equation to get the width as follows:
Area of rectangle = length * width
7400 = 82 * width
width = 7400 / 82
width = 90.24390244 feet
You might be interested in
Ampicillin 250 mg IM every 12 hours is ordered. After reconstitution, there's 125 mg/mL. How many mL would you give?
Vanyuwa [196]

Answer:

Correct choice is C. 2 mL.

Step-by-step explanation:

Given that Ampicillin 250 mg IM every 12 hours is ordered. After reconstitution, there's 125 mg/mL. Now we need to find about how many mL would you give.

Let number of ml needed = x.

Since ratio of mg per mL will be fixed so we get equation:

\frac{mL}{mg}=\frac{x}{250}=\frac{1}{125}

\frac{x}{250}=\frac{1}{125}

x=\frac{1}{125} \times 250

x=\frac{250}{125}

x=2

Hence correct choice is C. 2 mL.

4 0
2 years ago
At a pond there were 24 ducks swimming. The ratio of ducklings to adult ducks is 5:1. How many ducklings were swimming at the po
grigory [225]
Twenty ducklings were swimming at the pond
7 0
1 year ago
Read 2 more answers
The quality control manager at a light bulb factory needs to estimate the mean life of a batch (population) of light bulbs. We a
Nadusha1986 [10]

Answer:

<em>a)95%  confidence intervals for the population mean of light bulbs in this batch</em>

(325.5 ,374.5)

b)

<em>The calculated value Z = 4 > 1.96 at 0.05 level of significance</em>

<em>Null hypothesis is rejected </em>

<em>The manufacturer has not right to take the average life of the light bulbs is 400 hours.</em>

Step-by-step explanation:

Given sample size n = 64

Given  mean of the sample x⁻ = 350

Standard deviation of the Population σ = 100 hours

The tabulated value Z₀.₉₅ = 1.96

<em>95%  confidence intervals for the population mean of light bulbs in this batch</em>

<em></em>(x^{-} - Z_{\frac{\alpha }{2} } \frac{S.D}{\sqrt{n} } , x^{-} + Z_{\frac{\alpha }{2} }\frac{S.D}{\sqrt{n} } )<em></em>

<em></em>(350 - 1.96\frac{100}{\sqrt{64} } , 350 + 1.96\frac{100}{\sqrt{64} } )<em></em>

(350 -24.5, 350 +24.5)

(325.5 ,374.5)

b)

<u><em>Explanation</em></u>:-

Given mean of the Population μ = 400

Given sample size n = 64

Given  mean of the sample x⁻ = 350

Standard deviation of the Population σ = 100 hours

<u><em>Null hypothesis</em></u> : H₀:The manufacturer has right to take the average life of the light bulbs is 400 hours.

μ = 400

<u><em>Alternative Hypothesis: H₁:</em></u> μ ≠400

<u><em>The test statistic </em></u>

Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }

Z = \frac{350 -400}{\frac{100}{\sqrt{64} } }

|Z| = |-4|

The tabulated value   Z₀.₉₅ = 1.96

The calculated value Z = 4 > 1.96 at 0.05 level of significance

Null hypothesis is rejected.

<u><em>Conclusion:</em></u>-

The manufacturer has not right to take the average life of the light bulbs is 400 hours.

5 0
2 years ago
All students are classified as either full-time or part-time. Kenneth conducted a survey in which he collected data on the perce
Crank

Answer:

A

Step-by-step explanation:

8 0
2 years ago
Emma's square patio below has been area=31 sq ft. She decides to decrease one dimension by 1 foot and decreases the other dimens
Andreas93 [3]

Answer:

4.57ft  by 1.57 ft

Step-by-step explanation:

We are given that

Emma's square patio has been area=31 sq.ft

One dimension decrease by 1 foot and other dimension decrease by 4 feet.

We have to find the new dimensions of Emma's patio.

Let x be the side of Emma's square patio

We know that

Area of square=x^2

x^2=31

x=\sqrt{31}=5.57 ft

One dimension=5.57-1=4.57 ft

other dimension=5.57-4=1.57 ft

Hence, the new dimension of Emma's patio is given by

4.57ft  by 1.57 ft

5 0
2 years ago
Other questions:
  • 77 million to 200.2 million
    9·1 answer
  • Find the surface area of a triangular prism that has the following dimensions. Use the formula SA = 2 B + Ph . B = 84 mm 2 P = 5
    10·1 answer
  • If a company sells red, blue, and white tents at a ratio of 5:3:1 and they sell 1,350 tents in one month,
    5·2 answers
  • desiree has 100 pink 80 blue and 120 purple beads. she puts all of the beads into jars equally. each jar has one type of bead. h
    12·1 answer
  • Which of the following is an accurate description of Simpson's paradox?
    6·1 answer
  • The measure of rst can be represented by the expression (6x+12)
    11·2 answers
  • A clothing design company pays two different people to design its T-shirts.
    10·2 answers
  • The dot plot shows the number of hours, to the nearest
    7·1 answer
  • weavers are making a carpet from a scale drawing. The carpet will be 10 ft by 14 ft. Every 5 in. on the drawing represents 7 ft
    10·2 answers
  • If a 40,000g cannon ball is 35m above the Earth’s surface, how much potential energy does the cannon ball have?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!