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Roman55 [17]
3 years ago
15

Kyra was building a bed for her dollhouse. She used her bed, which is 4 feet × 5 feet, as a guide. She scaled down the dimension

s of her bed by a factor 1 over 5. What are the dimensions of the model bed she built?
Mathematics
1 answer:
snow_tiger [21]3 years ago
7 0
1/5 is a 20% reduction.  So that leaves 80%

80% of 4 is <u>3.2 ft  </u>(.8 x 4)   and  80% of 5 is <u>4 ft</u>  (.8 x 5)

If you prefer inches, 80% of 48" = <u>38.4"</u>  and 80% of 60= <u>48"</u>
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A set of average city temperatures in May are normally distributed with a mean of 20.66 ^\circ \text{C}20.66
Angelina_Jolie [31]

Answer:

0.9962

Step-by-step explanation:

The z score shows the number of standard deviations by which the raw score is above or below the mean. If the raw score is above the mean then the z score is positive but if the raw score is less than the mean then the raw score is negative. The z score is given by:

z=\frac{x-\mu}{\sigma}\\ \\\mu=mean,\sigma=standard\ deviation, x=raw\ score

μ = 20.66°C, σ = 2°C

For x < Singapore temperature, i.e. x < 26

z=\frac{x-\mu}{\sigma} =\frac{26-20.66}{2}=2.67

From the normal distribution table P(x < 26) = P(z < 2.67) = 0.9962

4 0
3 years ago
When finding the volume of a rectangle shaped 3D box, what formula do you use?
stiv31 [10]

Answer:

length x width x height

l x w x h

8 0
3 years ago
A professor has learned that three students in his class of 20 will cheat on the final exam. He decides to focus his attention o
balu736 [363]

Answer:

a

P(X \ge 1) = 0.509

b

P(X  \ge 1) = 0.6807

Step-by-step explanation:

From the question we are told that

   The number of students in the class is  N  =  20  (This is the population )

   The number of student that will cheat is  k =  3

   The number of students that he is focused on is  n  =  4

Generally the probability distribution that defines this question is the  Hyper geometrically distributed because four students are focused on without replacing them in the class (i.e in the generally population) and population contains exactly three student that will cheat.

Generally  probability mass function is mathematically represented as

      P(X = x) =  \frac{^{k}C_x * ^{N-k}C_{n-x}}{^{N}C_n}

Here C stands for combination , hence we will be making use of the combination functionality in our calculators  

Generally the that  he finds at least one of the students cheating when he focus his attention on four randomly chosen students during the exam is mathematically represented as

      P(X \ge 1) =  1 - P(X \le 0)

Here  

   P(X \le 0) =  \frac{ ^{3} C_0 *  ^{20 - 3} C_{4- 0}}{ ^{20}C_4}

   P(X \le 0) =  \frac{ ^{3} C_0 *  ^{17} C_{4}}{ ^{20}C_4}

   P(X \le 0) =  \frac{ 1 *  2380}{ 4845}

    P(X \le 0) =  0.491

Hence

    P(X \ge 1) =  1 - 0.491

     P(X \ge 1) = 0.509

Generally the that  he finds at least one of the students cheating when he focus his attention on six randomly chosen students during the exam is mathematically represented as

    P(X \ge 1) =  1 - P(X \le 0)

   P(X  \ge 1) =1- [  \frac{^{k}C_x * ^{N-k}C_{n-x}}{^{N}C_n}]

Here n =  6

So

    P(X  \ge 1) =1- [  \frac{^{3}C_0 * ^{20 -3}C_{6-0}}{^{20}C_6}]

    P(X  \ge 1) =1- [  \frac{^{3}C_0 * ^{17}C_{6}}{^{20}C_6}]

    P(X  \ge 1) =1- [  \frac{1  *  12376}{38760}]

    P(X  \ge 1) =1- 0.3193

    P(X  \ge 1) = 0.6807

   

5 0
3 years ago
Can any decimal that ends with a digit in the thousandths place can be written as a fraction with a denominator that is divisibl
aksik [14]
No because it has to be a even number to be divisible by 2 and same goes with 5 something has to x the 2 with the number like 2/4=2 because 2x2 is 4
8 0
4 years ago
Read 2 more answers
Which values of x would make a polynomial equal to zero if the factors of the polynomial were (x+3) and (x+12)
Alex Ar [27]

Answer:

A product of factors is zero if and only if one or more of the factors is zero.  That is, if ab = 0, then either a = 0 or b = 0 (or both).

Hence (x+3)(x+12) = 0 only if (x+3) = 0 or (x+12) = 0 or both.  (x+3) = 0 when x = 3.(x+12) = 0 when x = 12.

Hence the values of x that make (x+3)(x+12) = 0 are x = 3 and x = 12.

3 0
3 years ago
Read 2 more answers
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