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
Svet_ta [14]
3 years ago
10

The weight of the load varies

Mathematics
1 answer:
geniusboy [140]3 years ago
3 0

The weight varies directly with the number of boxes, so this means every box weighs the same amount.

Find the weight of a box by dividing the known weight by the number of boxes:

600 pounds / 16 boxes = 37.5 pounds per box.

Now multiply the weight per box by the number of boxes:

37.5 pounds x 12 boxes = 450 pounds

12 boxes weigh 450 pounds

You might be interested in
The life times of light bulbs produced by a particular manufacturer have a mean of 1,200 hours and a standard deviation of 400 h
Nezavi [6.7K]

Answer:

a. 1200hours

b.  σ² = 400² =160000hour

c. standard error = 133.33

d. for 9 lightbulb it is likely that 9*0.146 = 1.31 bulbs will have lives of fewer than 1,050 hours?

Step-by-step explanation:

mean of 1,200 hours

σ, a standard deviation of 400 hours.

Sample size, N =  nine bulbs,

a) mean of the sample mean lifetime: is given as 1,200 hours

b) variance of the sample mean is the square of the  σ, a standard deviation of 400 hours.

σ² = 400² =160000hours

c) What is the standard error of the sample mean?

The standard deviation of a sampling distribution of mean values is called the standard error of the means,

standard error of the means,  σx = σ √N

The formula for the standard error of the means is true for all values infinite number of sample, N.

σx = σ √N

     =400  √9 = 400/3 =133.3333

d) the probability that, on average, those nine lightbulbs have lives of fewer than 1,050 hours

The area under part of a normal probability curve is  directly proportional to probability and the value is calculated as

z = ( x₁−x) /σ

where z = propability of normal curve

x₁ = variate mean = 1050hours

x = mean of 1200hours

σ = standard deviation = 400

applying the formula,

z= (1050-1200)/400

z = 150/400 =0.375

Using a table of partial areas beneath the standardized normal curve (see Table of normal curve, a z-value of 0.375 corresponds to an area of 0.1460 between the mean value.

Thus the probability of a lightbulbs having lives of fewer than 1,050 hours is 0.1460.

for 9 lightbulb it is likely that 9*0.146 i.e. 1.31 bulbs will have lives of fewer than 1,050 hours?  

8 0
3 years ago
A painting is shaped like a golden rectangle. It's length is 24 cm. What is the paintings width to the nearest tenth of a cm?
olya-2409 [2.1K]
It depends if 24cm is the long dimension or the short one...it's the answer if 24cm is the short dim.
if 24cm is the long dimension then the answer is
24/1.618
6 0
3 years ago
The sum of the squares of two consecutive negative integers is 61. Find the smaller of the two integers
Marysya12 [62]
x^2+(x+1)^2=61\\ x^2+x^2+2x+1-61=0\\ 2x^2+2x-60=0\ \ /:2\\ x^2+x-30=0\\ \Delta=1^2-4\cdot(-40)=1+120=121\ \ \Rightarrow\ \  \sqrt{\Delta} =11\\ \\ x_1= \frac{-1-11}{2} = \frac{-12}{2} =-6,\ \ \ \ x_2= \frac{-1+11}{2} = \frac{10}{2}=5\\ \\Ans.:x=-6
3 0
3 years ago
PLS HELP ASAP ILL GIVE BRAINLKEST THANKS
Julli [10]

Answer:

D. (6,3)

Step-by-step explanation:

To the find which point can be located on the line you will have to find the point-slope form

The formula for point-slope form is y=mx+b

m is slope

b is y-intercept

Since we already know the slope we can just replace it:

y=1/2x+b

Now we need to find the y-intercept

We can do this by distributing them with (4,2)

As you remember in point the digits are in x and y

(x,y) so we can tell that 4 is x and 2 is y

Now we can substitute x with 4 and y with 2

2=1/2(4)+b

Multiply 1/2 and 4

which is 2

2=2+b

Thus b=0

So the slope intercept form is y=1/2x

Now we can substitute the other points:

For (5,2):

2=5/2

Which is incorrect since 2 does not equal 5/2

For (2,3):

3=1/2(2)

Which is

3=1

Which is incorrect since 3 does not equal 1

For (3,4)

4=1/2(3)

Which is

4=3/2

Which is incorrect since 4 does not equal 3/2

For (6,3)

3=1/2(6)

Which is

3=3

Which is correct since 3 does equal to 3

Hope this helps!

8 0
2 years ago
The table represents an exponential function.
kkurt [141]

Answer:

b=2/3

Step-by-step explanation:

The table is given as:

\left|\begin{array}{c|c}x&y\\--&--\\1&9\\2&6\\3&4\\4&\dfrac83\\\\5&\dfrac{16}{9}\end{array}\right|

The exponential function is given in the form

y= a (b)^{x}

where a is the initial value and b is the multiplicative rate of change

When  x=1, y=9, we have:

9= a (b)^{1}

When  x=3, y=4, we have:

4= a (b)^{3}

Dividing the two equations:

\dfrac{a (b)^{3}}{a (b)^{1}} =\dfrac{4}{9} \\b^2=\dfrac{4}{9}\\b=\sqrt{\dfrac{4}{9}} \\b=\dfrac{2}{3}

The multiplicative rate of change, b is 2/3.

5 0
3 years ago
Other questions:
  • 7 pattern.<br> 14. 44, 22, 20, 10, 8,<br> The pattern is
    5·2 answers
  • If m + 4n=2n + 8m; what is the ratio of n to m
    9·2 answers
  • How to Graph 3(x-2)2+6
    6·1 answer
  • Population data from three towns is displayed in the tables below. which town has growth that shows an exponential model?
    15·2 answers
  • 18. A recent article claimed that women are waiting longer to have their first
    13·1 answer
  • Find f(4) if f(x) = 3x + 1
    15·1 answer
  • Ms Eisner pays $888 for 6 nights in a hotel. How much does Ms. Eisner pay per night make sure you divide. Please help me I reall
    10·2 answers
  • Select the number property that will justify the step in the following expression. 6 + (14 + 70) = (6 + 14) + 70 = 20 + 70 = 90
    14·2 answers
  • In ΔLMN, m = 390 cm, n = 430 cm and ∠L=134°. Find the length of l, to the nearest centimeter. PLEASE HELP ITS URGENT
    13·1 answer
  • Find the measure of arc JM.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!