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GarryVolchara [31]
3 years ago
6

Eathan ran 11 miles in 2 hours. what is the unit rate of miles to hours

Mathematics
2 answers:
spayn [35]3 years ago
6 0

Answer:

5.5:1

Step-by-step explanation:

murzikaleks [220]3 years ago
3 0

Answer:

5.5 miles per hour

Step-by-step explanation:

11/2= 5.5

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Sanam eats 5 almonds daily. How many almonds does she eat in 157 days?​
Ede4ka [16]

Answer:

785 almonds

Step-by-step explanation:

157 x 5 = 785

8 0
2 years ago
A shirt originally cost $36.24, but it is on sale for $30.80. What is the percentage decrease of the price of the shirt? If nece
KiRa [710]
To work out the decrease, do original amount - new amount and then take that answer and divide it by the original amount, and then multiply by 100.

So you would do:

36.24 - 30.80 = 5.44
5.44 ÷ 36.24 × 100 = 15% to the nearest percent.  

6 0
3 years ago
Can someone please explain to me how to solve these types of equations? I'm supposed to solve for x in 4^(-5x-6)=4^(9x+4)
Ksenya-84 [330]

Answer:-5/7 i think that is wrong

Step-by-step explanation:

8 0
2 years ago
According to a study done by a university​ student, the probability a randomly selected individual will not cover his or her mou
VikaD [51]

Complete Question

The complete question is shown on the first uploaded image

Answer:

a

 P(X = 8) =  0.0037

b

 P(X <  5) =  0.805

c

 P(X > 6) =  0.0206

I would be surprised because the value is very small , less the 0.05

Step-by-step explanation:

From the question we are told that

The probability a randomly selected individual will not cover his or her mouth when sneezing is p = 0.267

Generally data collected from this study follows  binomial  distribution because the number of trials is  finite , there are only two outcomes, (covering  , and  not covering mouth when sneezing ) , the trial are independent

Hence for a randomly selected variable  X we have that  

   X \ \ \~ \ \ { B ( p , n )}

The probability distribution function for binomial  distribution is  

    P(X = x ) =  ^nC_x *  p^x *  (1 -p) ^{n-x}

Considering question a

Generally the  the probability that among 12 randomly observed individuals exactly 8 do not cover their mouth when​ sneezing is mathematically represented as

     P(X = 8) =  ^{12} C_8 *  (0.267)^8 *  (1- 0.267)^{12-8}

Here C denotes  combination

So

     P(X = 8) =  495  *  0.000025828 * 0.28867947

    P(X = 8) =  0.0037

Considering question b

Generally the probability that among 12 randomly observed individuals fewer than 5 do not cover their mouth when​ sneezing is mathematically represented as

     P(X <  5 ) =[P(X = 0 ) + \cdots + P(X = 4)]

=>   P(X <  5 ) =[ ^{12} C_0 *  (0.267)^0 *  (1- 0.267)^{12-0} + \cdots +  ^{12} C_4 *  (0.267)^4 *  (1- 0.267)^{12-4} ]

=> P(X <  5 )  =  0.02406 +  0.10516 + 0.21067 + 0.25580 + 0.20964

=>  P(X <  5) =  0.805

Considering question c

Generally the probability that fewer than half(6) covered their mouth when​ sneezing(i.e the probability the greater than half do not cover their mouth when sneezing) is mathematically represented as

      P(X > 6) =  1 - p(X \le  6)

=>    P(X > 6) = 1 - [P(X = 0) + \cdots + P(X =6)]

=>    P(X > 6)=1 - [^{12} C_0 *  (0.267)^0 *  (1- 0.267)^{12-0}+ \cdots + ^{12} C_4 *  (0.267)^6 *  (1- 0.267)^{12-6} ]

=>    P(X > 6)= 1 - [0.02406 + \cdots + 0.0519 ]  

=>    P(X > 6) =  0.0206

I would be surprised because the value is very small , less the 0.05

8 0
3 years ago
Find y when x=77, if y varies inversly as x, and y = 23 when x = 115.
Eduardwww [97]

The required value of y is 2645 / 77 when x = 77.

Step-by-step explanation:

1. Let's check the information given to answer:

if y varies inversely as x, and y = 23 when x = 115. Find y when x=77

2. What is y when x = 77?

As the statement "y varies inversely as x" translates into y = k/x

If we let y = 23 and x = 115, the constant of variation becomes

        23 = k ÷ 115

        k = 23 × 115

        k = 2645

Thus the specification equation is y = 2645  ÷ x . Now, letting x = 77, we obtain

          y = 2645 ÷ x

          y = 2645 ÷ 77

<u>So, The required value of y = 2645 / 77 when x = 77</u>

<u></u>

<u>#learnwithBrainly</u>

7 0
3 years ago
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