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fenix001 [56]
2 years ago
14

What is the value of each expression? 7/8 + 4/8 : 17/25 - 9/25 : 63/46 - 81/46 :

Mathematics
1 answer:
iragen [17]2 years ago
5 0

Answer: 7/8 + 4/8 = Exact form- 11/8

                                   Decimal form- 1.375

               17/25 - 9/25 = Exact form- 8/25

                                       Decimal form- 0.32

                63/46 - 81/46 = Exact form- -9/23

Step-by-step explanation: Hope this helped.

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a seesaw with the construction shown is being built at a playground. The seating board will be 8 feet long and the board will ma
Ilya [14]

Answer:

1.7 feet

Step-by-step explanation:

R is the midpoint of QS, so RS = 4 feet.

Using sine:

sin 25° = RT / 4

RT = 4 sin 25°

RT ≈ 1.7

6 0
3 years ago
In the name Hernandez, find the ratio of number of vowels the length of the names.
olchik [2.2K]
Well in Hernandez there are 3 vowels, and 9 characters. 
So your ratio would be 3:9
Hope I helped!
5 0
3 years ago
Read 2 more answers
(a) A lamp has two bulbs of a type with an average lifetime of 1600 hours. Assuming that we can model the probability of failure
lara [203]

Complete Question

The complete question is shown on the first uploaded image

Answer:

a

The probability is P_T= 0.4560

b

The probability is P_F= 0.0013

Step-by-step explanation:

From the question we are told that

The mean for the exponential density function of bulbs failure is \mu = 1600 \ hours

Generally the cumulative distribution for exponential distribution is mathematically represented as

       1 - e^{- \lambda x}

The objective is to obtain the p=probability of the bulbs failure within 1800 hours

So for the first bulb the probability will be

        P_1(x < 1800)

 And for the second bulb the probability will be

       P_2 (x< 1800)

So from our probability that we are to determine the area to the left of 1800 on the distribution curve

    Now the  rate parameter  \lambda is mathematically represented as

                           \lambda = \frac{1}{\mu}

                          \lambda = \frac{1}{1600}

The probability of the first bulb failing with 1800 hours is mathematically evaluated as

                   P_1(x < 1800) = 1 - e^{\frac{1}{1600} * 1800 }

                                        = 0.6753

Now the probability of both bulbs failing would be

              P_T=P_1(x < 1800) * P_2(x < 1800)

           = 0.6375 * 06375

           P_T= 0.4560

Let assume that one bulb failed at time T_a and the second bulb failed at time T_b  then

                 T_a + T_b = 1800\ hours

The mathematical expression to obtain the probability that the first bulb failed within between zero and T_a and the second bulb failed between T_a \ and \  1800 is represented as

             P_F=\int_{0}^{1800}\int_{0}^{1800-x} \f{\lambda }^{2}e^{-\lambda x}* e^{-\lambda y}dx dy

            =\int_{0}^{1800} {\lambda }e^{-\lambda x}\int_{0}^{1800-x} {\lambda } e^{-\lambda y}dx dy

            =\int_{0}^{1800} {\frac{1}{1600} }e^{-\lambda x}\int_{0}^{1800-x} \frac{1}{1600 } e^{-\lambda y}dx dy

          =\int_{0}^{1800} {\frac{1}{1600} }e^{-\lambda x}[e^{- \lambda y}]\left {1800-x} \atop {0}} \right. dx        

          =\int_{0}^{1800} {\frac{1}{1600} }e^{-\frac{x}{1600} }[e^{- \frac{1800 -x}{1600} }-1] dx

            =[ {\frac{1}{1600} }e^{-\frac{1800}{1600} }-\frac{1}{1600}[e^{- \frac{x}{1600} }] \left {1800} \atop {0}} \right.

           =[ {\frac{1}{1600} }e^{-\frac{1800}{1600} }-\frac{1}{1600}[e^{- \frac{1800}{1600} }] -[[ {\frac{1}{1600} }e^{-\frac{1800}{1600} }-\frac{1}{1600}[e^{-0}]

           =[\frac{1}{1600} e^{-\frac{1800}{1600} } - \frac{1}{1600} e^{-0}  ]

         =0.001925 -0.000625

         P_F= 0.0013

4 0
3 years ago
Read 2 more answers
Connor and Matthew each live in a different city. Each Thursday for ten weeks, they recorded the high temperature. The data belo
RoseWind [281]

Answer:

22

Step-by-step explanation:

Subtract the minimum data value from the maximum data value to find the data range.

Hope this helps,

plx give brainliest

4 0
2 years ago
Read 2 more answers
Hi please help will mark brainliest​
Anika [276]

Answer:

Carlie is correct he or she has the best and most were to explain the answer.

Step-by-step explanation:

3 0
2 years ago
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