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vladimir1956 [14]
3 years ago
14

Hannah and anthony are siblings who have ages that are consecutive odd integers. The sum of their ages is 92. Which equations co

uld be used to find Hannnahs age h if she is the older sibling
Mathematics
1 answer:
Galina-37 [17]3 years ago
8 0

Answer:

2h-2=92

h-2=92-h

Step-by-step explanation:

Hannah and Anthony's age are two consecutive odd numbers.

If Hannah's age (The older) has a value of h.

Then Anthony's age (the first odd number) i.e the younger one is h-2.

The sum of their ages is 92

h+h-2=92 .....(I)

2h-2=92

Also on rearrangement

h-2=92-h

These are the two equations that could be used to find Hannah's age

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A drawer contains 3 black socks, 3 white socks, 2 red socks, and 1 purple sock. A red sock is pulled at random from the drawer,
ddd [48]

Answer:

1/2

Step-by-step explanation:

8 0
3 years ago
Let the following sample of 8 observations be drawn from a normal population with unknown mean and standard deviation: 22, 18, 1
BigorU [14]

Answer:

a:  Sample mean: 20, Sample standard deviation: 1.732

b:  19.13 <µ < 20.87

c:  18.84< µ < 21.16

d:  as the confidence level increases, the interval becomes wider

Step-by-step explanation:

a:  Sample mean is found by adding up all the individual values of the sample, then dividing by the total number of values in the sample.  

Sample standard deviation is the square root of the variance

See the first attached photo for the calculations of these values.

We need to create a 80% confidence interval for the population.  Since n < 30, we will use a t-value with degree of freedom of 7 (the degree of freedom is always one less than the sample size.  

Look for the column on the t-distribution chart that has "area in two tails" of 0.20 (80%), and row 7 (degree of freedom)

The t-value is 1.415

See the second attached photo for the construction of the confidence interval

We need to create a 90% confidence interval for the population.  Since n < 30, we will use a t-value with degree of freedom of 7 (the degree of freedom is always one less than the sample size.  

Look for the column on the t-distribution chart that has "area in two tails" of 0.10 (90%), and row 7 (degree of freedom)

The t-value is 1.895

See the third attached photo for the construction of the confidence interval

3 0
3 years ago
43 5/12 x 11 Please help
zzz [600]
The perimeter is the sum of side lengths. Opposite sides of a rectangle are the same length, so the perimeter is
  P = 11 +43 5/12 +11 +43 5/12
    = 2(11 +43 5/12)
    = 2(54 5/12)
  P = 108 5/6 . . . . feet

The area is the product of length and width. It doesn't matter which of the given dimensions you consider length or width, since you multiply them either way.
  A = 11 * 43 5/12
    = 473 +55/12
  A = 477 7/12 . . . . square feet
3 0
3 years ago
7 is less than or equal to 3 - 2 p less than 11
zubka84 [21]
I'm guessing it's equal
4 0
2 years ago
The width of a rectangle is 4 inches greater than half the length. The perimeter is 56 inches. What is the length and the width
yulyashka [42]

Answer:

Length of the rectangle = 16 inches

Width of the rectangle = 12 inches

Step-by-step explanation:

Let the length of the rectangle be represented by x.

Then width can be expressed as \[\frac{x}{2}+4\]&#10;

Perimeter of a rectangle is the sum of four sides of the rectangle.

This can be expressed as 2*(length + breadth)

= \[2* (x + \frac{x}{2}+4)\]

= \[2* (\frac{3x}{2}+4)\]

= \[3x + 8\]

But perimeter is given as 56.

So, \[3x + 8 = 56\]&#10;

=> \[3x = 48\]

=> \[x = 16\]

Hence length of the rectangle = 16 inches

Width of the rectangle = \[\frac{16}{2}+4\] = 12 inches

7 0
3 years ago
Read 2 more answers
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