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Natali5045456 [20]
2 years ago
10

How many bands uniforms can be made with 131 3/4 yards of fabric if each uniform requires 3 7/8

Mathematics
1 answer:
mafiozo [28]2 years ago
3 0
<span>131 3/4 divided by 37/8.
   
527/4 divided by 31/8.
   
527/4 divided by 8/31.
   
1054/31.
   
34.</span>
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The production department has installed a new spray machine to paint automobile doors. As is common with most spray guns, unsigh
Nesterboy [21]

Answer:

The numbers of doors that will have no blemishes will be about 6065 doors

Step-by-step explanation:

Let the number of counts by the  worker of each blemishes on the door be (X)

The distribution of blemishes followed the Poisson distribution with parameter  \lambda =0.5 / door

The probability mass function on of a poisson distribution Is:

P(X=x) = \dfrac{e^{- \lambda } \lambda ^x}{x!}

P(X=x) = \dfrac{e^{- \ 0.5 }( 0.5)^ x}{x!}

The probability that no blemishes occur is :

P(X=0) = \dfrac{e^{- \ 0.5 }( 0.5)^ 0}{0!}

P(X=0) = 0.60653

P(X=0) = 0.6065

Assume the number of paints on the door by q = 10000

Hence; the number of doors that have no blemishes  is = qp

=10,000(0.6065)

= 6065

3 0
2 years ago
In a poker hand, John has a very strong hand and bets 5 dollars. The probability that Mary has a better hand is .04. If Mary had
mr_godi [17]

Answer:

When Mary raises the probability that she has a better hand is 0.273

Step-by-step explanation:

In the poker game it is given that the probability that Mary has a better hand than John is 0.04.

Let the event that Mary has a better hand than John be A.

Let the event that that Mary raises the stakes be B.

It is also given that if Mary has a better hand than John then she would raise with a probability of 0.9

Therefore p(B | A) = 0.9

If Mary has a poorer hand she will raise with a probability of 0.1

Therefore p(B | A') = 0.1

Given that Mary raises the probability that she has a better hand is given by

p(A | B)

 = \frac{p(A\cap B)}{p(B)} = \frac{p(A)p(B | A)}{p(A)p(B | A) + p(A')p(B | A')}  = \frac{(0.04 \times 0.9) }{(0.04 \times 0.9) + (0.96 \times 0.1)}  = \frac{36}{36 + 96}  = \frac{36}{132}  = \frac{3}{11}

= 0.273

So when Mary raises the probability that she has a better hand is 0.273

3 0
2 years ago
The graph of f(x) = StartRoot x EndRoot is reflected across the x-axis and then across the y-axis to create the graph of functio
Anna35 [415]

Answer:

<em>The only value that is in the domains of both functions is 0</em>

<em>The range of g(x) is all values less than or equal to 0</em>

Step-by-step explanation:

As the original function is

f(x) = \sqrt{x}

Since, domain is the set of all possible input values that define the function, and range is the set of all possible output values for all possible domain values for which the function is defined.

  • The domain of f(x) = \sqrt{x} will be [0, ∞)
  • The range of f(x) = \sqrt{x} will be [0, ∞)

Please check the attached <em>figure a</em> for visualizing the graph of f(x) = \sqrt{x}.

<u><em>Impact of double transformation:</em></u>

  • When the function f(x) = \sqrt{x} is reflected across x-axis, the function becomes y = -\sqrt{x} after first transformation
  • After the second transformation across y-axis, the function y = -\sqrt{x} becomes  g(x) = -\sqrt{-x}

For

g(x) = -\sqrt{-x}

-x must be equal to or greater than zero for g(x) = -\sqrt{-x} to be defined i.e. -x ≥ 0.

So,

-x ≥ 0 can be written as x≤ 0

So,

  • The domain of g(x) = -\sqrt{-x} will be (∞, 0]
  • The range of g(x) = -\sqrt{-x} will be (∞, 0]

Please check the attached figure a for visualizing the graph of g(x) = -\sqrt{-x}.

So, from the above discussion, we can say that

  • 0 is the only that is in the domain of both function.
  • The range of g(x) is all values less than or equal to 0

So,

Only two statements are true about the functions f(x) and g(x) are true which are:

<em>The only value that is in the domains of both functions is 0</em>

<em>The range of g(x) is all values less than or equal to 0</em>

<em>Keywords: graph, function</em>

<em>Learn more about graph and function from brainly.com/question/11152594</em>

<em>#learnwithBrainly</em>

8 0
1 year ago
Read 2 more answers
Solution to the inequality 16x−33x&lt;37x+27.
astra-53 [7]

<em><u>The solution to the inequality is:</u></em>

x>\frac{-1}{2}

<em><u>Solution:</u></em>

Given inequality is:

16x-33x

We have to find the solution to given inequality

\mathrm{Add\:similar\:elements:}\:16x-33x=-17x

-17x

\mathrm{Subtract\:}37x\mathrm{\:from\:both\:sides}

-17x-37x

Simplify the above inequality

-54x

\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}

Remember that, change the inequality sign if you divide or multiply both sides by a negative number

If you divide or multiply both sides by a positive number,the inequality sign will not change

\left(-54x\right)\left(-1\right)>27\left(-1\right)\\\\54x>-27

\mathrm{Divide\:both\:sides\:by\:}54

\frac{54x}{54}>\frac{-27}{54}\\\\x>-\frac{1}{2}

Thus the solution to inequality is found

3 0
2 years ago
Given log Subscript 4 Baseline 3 almost-equals 0.792 and log Subscript 4 Baseline 21 almost-equals 2.196, what is log Subscript
defon

Answer:

Step-by-step explanation:

The following is the logarithm quotient rule:

log_{c}{a / b} = log_{c}{a} - log_{c}{b}

Plugging in the values we have above gives us the following:

log_{4}{21 / 3} = log_{4}{21} - log_{4}{3}

log_{4}{7} = 2.196 - 0.792

log_{4}{7} = 1.404

6 0
1 year ago
Read 2 more answers
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