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3 years ago

in this question , use 1 foot equalto 12 inches 1 inch equalto 2.5 centimetres change 5 feet 8 inches to centimetres

Mathematics

1 answer:

nasty-shy [4]3 years ago

5 0

Answer: 170 cm

Step-by-step explanation: 5x12=60. 60+8=68. 68x2.5=170.

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Can you please match the number and explain thank you your saving a grade

Vera_Pavlovna [14]

Answer:

3/5

Step-by-step explanation:

put into fraction form: 21/35

21/35 (divide by 7/7)

3/5

5 0

2 years ago

Read 2 more answers

The director of a health clinic has a quarterly budget of $600,000. She

nalin [4]

The meaning of this problem is that with 7 nurses they can only hire D=13.25

<h3>What is the meaning of this problem.?</h3>

Generally, the equation for the model is mathematically given as

$P=1000D^{0.6}N^{0.3}$

Therefore,

$dv/dD=0.6*1000*D^{0.4}N)^{0.3}$

$dv/dD=600* \frac{N6.1}{D6.1}=0$

Also

$dv/dN=300* \frac{N6.8}{N6.7}=0$

Equations 1 and 2

$300* \frac{D6.8}{N6.7}=600* \frac{N6.1}{D6.1}$

.sub D=(60N)/4

$300* \frac{((60N)/4)6.8}{N6.7}=600* \frac{N6.1}{((60N)/4)6.1}$

N=6.67

N=7

solve for D

D=(60(7))/4

D=13.25

In conclusion, with 7 nurses they can only hire D=13.25

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8 0

2 years ago

An individual repeatedly attempts to pass a driving test. Suppose that the probability of passing the test with each attempt is

vladimir1956 [14]

Answer:

a) Our random variable X="number of tests taken until the individual passes" follows a geomteric distribution with probability of success p=0.25

For this case the probability mass function would be given by:

$P(X= k) = (1-p)^{k-1} p , k = 1,2,3,...$

b) $P(X \leq 3) = P(X=1) +P(X=2) +P(X=3)$

$P(X= 1) = (1-0.25)^{1-1} *0.25 = 0.25$

$P(X= 2) = (1-0.25)^{2-1} *0.25 = 0.1875$

$P(X= 3) = (1-0.25)^{3-1} *0.25 = 0.1406$

And adding the values we got:

$P(X \leq 3) =0.25+0.1875+0.1406=0.578$

c) $P(X \geq 5) = 1-P(X$

And we can find the individual probabilities:

$P(X= 1) = (1-0.25)^{1-1} *0.25 = 0.25$

$P(X= 2) = (1-0.25)^{2-1} *0.25 = 0.1875$

$P(X= 3) = (1-0.25)^{3-1} *0.25 = 0.1406$

$P(X= 4) = (1-0.25)^{4-1} *0.25 = 0.1055$

$P(X \geq 5) = 1-[0.25+0.1875+0.1406+0.1055]= 0.316$

Step-by-step explanation:

Previous concepts

The geometric distribution represents "the number of failures before you get a success in a series of Bernoulli trials. This discrete probability distribution is represented by the probability density function:"

$P(X=x)=(1-p)^{x-1} p$

Let X the random variable that measures the number of trials until the first success, we know that X follows this distribution:

$X\sim Geo (1-p)$

Part a

Our random variable X="number of tests taken until the individual passes" follows a geomteric distribution with probability of success p=0.25

For this case the probability mass function would be given by:

$P(X= k) = (1-p)^{k-1} p , k = 1,2,3,...$

Part b

We want this probability:

$P(X \leq 3) = P(X=1) +P(X=2) +P(X=3)$

We find the individual probabilities like this:

$P(X= 1) = (1-0.25)^{1-1} *0.25 = 0.25$

$P(X= 2) = (1-0.25)^{2-1} *0.25 = 0.1875$

$P(X= 3) = (1-0.25)^{3-1} *0.25 = 0.1406$

And adding the values we got:

$P(X \leq 3) =0.25+0.1875+0.1406=0.578$

Part c

For this case we want this probability:

$P(X \geq 5)$

And we can use the complement rule like this:

$P(X \geq 5) = 1-P(X$

And we can find the individual probabilities:

$P(X= 1) = (1-0.25)^{1-1} *0.25 = 0.25$

$P(X= 2) = (1-0.25)^{2-1} *0.25 = 0.1875$

$P(X= 3) = (1-0.25)^{3-1} *0.25 = 0.1406$

$P(X= 4) = (1-0.25)^{4-1} *0.25 = 0.1055$

$P(X \geq 5) = 1-[0.25+0.1875+0.1406+0.1055]= 0.316$

3 0

3 years ago

Can someone find this?

elena55 [62]

Answer:

18 square units

Step-by-step explanation:

The distance from -2 to 7 is 9, which is the base of the rectangle. The distance from -2 to -4 is 2, which is the height of the rectangle. The formula for area of a rectangle is A=bh. 9*2=18. 18 square units is your answer.

4 0

3 years ago

(m+3n) ^2 please help me solve this question, I really need it

Charra [1.4K]

Answer:

=m2+6mn+9n2

Step-by-step explanation:

=(m+3n)(m+3n)

=(m)(m)+(m)(3n)+(3n)(m)+(3n)(3n)

=m2+3mn+3mn+9n2

7 0

3 years ago