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Angelina_Jolie [31]
3 years ago
11

A school is building a new playground. They have spent 75% of the money for the new playground. If they have spent $1200, what i

s the total amount of money they will spend to build the playground? ASAP
Mathematics
1 answer:
Rasek [7]3 years ago
4 0
It would have spent 1125$ dollars
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It is assumed that the mean weight of a Labrador retriever is 70 pounds. A breeder claims that the average weight of an adult ma
Sindrei [870]

Answer:

z(s) is in the acceptance region we accept H₀. We don´t have enough evidence to support the breeder´s claim

Step-by-step explanation:

We will test the breeder´s claim at 95% ( CI) or significance level

α = 5 %   α = 0,05    α /2 = 0,025

Sample Information:

sample size   n  = 45

sample mean   x  = 72,5 pounds

Sample standard deviation  s = 16,1

1.-Hypothesis Test:

Null Hypothesis                              H₀        x  =  70

Alternative Hypothesis                  Hₐ        x  ≠  70

Alternative hypothesis contains the information about what kind of test has  to be developed ( in this case it will be a two-tail tets)

2.-z (c) is from z-table     z(c) = 1,96

3.- z(s)  =  ( x - 70 ) / 16,1 / √45

z(s)  =  (72,5 -70 ) *√45 / 16,1

z(s)  = 2,5 * 6,71 / 16,1

z(s)  = 1,04

4.-Comparing  z(s) and z(c)

z(s)  <  z(c)

Then z(s) is in the acceptance region we accept H₀. We don´t have enough evidence to support the breeder´s claim

7 0
3 years ago
Read 2 more answers
The random variable X is exponentially distributed, where X represents the waiting time to be seated at a restaurant during the
erastova [34]

Answer:

The probability that the wait time is greater than 14 minutes  is 0.4786.

Step-by-step explanation:

The random variable <em>X</em> is defined as the waiting time to be seated at a restaurant during the evening.

The average waiting time is, <em>β</em> = 19 minutes.

The random variable <em>X</em> follows an Exponential distribution with parameter \lambda=\frac{1}{\beta}=\frac{1}{19}.

The probability distribution function of <em>X</em> is:

f(x)=\lambda e^{-\lambda x};\ x=0,1,2,3...

Compute the value of the event (<em>X</em> > 14) as follows:

P(X>14)=\int\limits^{\infty}_{14} {\lambda e^{-\lambda x}} \, dx=\lambda \int\limits^{\infty}_{14} {e^{-\lambda x}} \, dx\\=\lambda |\frac{e^{-\lambda x}}{-\lambda}|^{\infty}_{14}=e^{-\frac{1}{19} \times14}-0\\=0.4786

Thus, the probability that the wait time is greater than 14 minutes  is 0.4786.

7 0
3 years ago
The quotient of 50 and 5 subtracted from 20 (move numbers and symbols to the line to show the phrase as a numerical expression)
Bas_tet [7]

Answer:

The expression is 20 - 50/5

Step-by-step explanation:

First we have the quotient of 50 and 5.

This is written as:

50/5

And we know that this is equal to 10, but let's leave it as 50/5 for now.

Now we subtract this FROM 20, then we have the number 20, and we subtract 50/5 from it, this is written as:

20 - 50/5

Now we can also solve this:

20 - 50/5 = 20 - 10 = 10

3 0
3 years ago
Simplify the expression and write your answer in<br> scientific notation: (2.6 X 105)2
Marizza181 [45]

Step-by-step explanation:

(2.6 X 10⁵)²

=6.76×10¹⁰

7 0
3 years ago
Eighty decreased by three times a number is 56
kifflom [539]

80-3x=56, Subtract 80 from each side:

-3x = 56-80

-3x=-24

x will equal 8, hope this helps! Have a BLESSED day! :-)

3 0
3 years ago
Read 2 more answers
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