Given:
Consider the equation is
To find:
The value of x.
Solution:
We have,
Using properties of exponents, we get
On comparing both sides, we get
Add 16 on both sides.
Multiply both sides by -1.
Therefore, the value of x is 8.
The table below represents the amount that Christian pays for cable service. Predict how much he will pay for 5 months of cable
service.
A table represents the amount that Christian pays for cable service. For one month the total cost is sixty dollars. For two months the total cost is one hundred twenty dollars. For three months the total cost is one hundred eighty dollars.
$295
$300
$360
$600
A table represents the amount that Christian pays for cable service. For one month the total cost is sixty dollars. For two months the total cost is one hundred twenty dollars. For three months the total cost is one hundred eighty dollars.
$295
$300
$360
$600
1 answer:
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Answer: 99.51%
Step-by-step explanation:
Given : A survey found that women's heights are normally distributed.
Population mean :
Standard deviation:
Minimum height = 4ft. 9 in.=
Maximum height = 6ft. 2 in.=
Let x be the random variable that represent the women's height.
z-score :
For x=57, we have
For x=74, we have
Now, by using the standard normal distribution table, we have
The probability of women meeting the height requirement :-
Hence, the percentage of women meeting the height requirement = 99.51%
Answer:
x = 2√2
y = 2√6
Step-by-step explanation:
Consider the ratio of the two legs of the two smaller interior right triangles. (refer to attached diagrams for the triangles - I have outlined one in blue and the other in red)
These will be equal since the triangles are similar
shorter leg : longer leg
(blue triangle = red triangle)
⇒ x : 4 = 2 : x
⇒ x/4 = 2/x
⇒ x² = 8
⇒ x = √8
⇒ x = 2√2
Now we have x, we have the two legs of the right triangle with hypotenuse labelled y.
Using Pythagoras' Theorem a² + b² = c² (where a and b are the legs and c is the hypotenuse)
⇒ 4² + (2√2)² = y²
⇒ y² = 24
⇒ y = √24
⇒ y = 2√6
