Answer:
????
Step-by-step explanation:
Find the measure of the numbered angles in each rhombus
Answer:
Angle 1 = 22°
Angle 2 = 68°
Angle 3 = 68°
Angle 4 = 90°
Step-by-step explanation:
It is a rhombus by the definition:
A rhombus is a quadrilateral whose all four sides are equal in length and opposite sides are parallel to each other. However, the angles are not equal to 90°.
The properties of rhombus is:
(1) Opposite angles are equal
(2) All sides are equal and, opposite sides are parallel to each other
(3) Diagonals bisect each other perpendicularly
(4) Sum of any two adjacent angles is 180°
By property (3):
Angle 4 = 90°
By (1) and properties of isosceles triangle in the top right triangle:
Angle 2 = Angle 3 = 68°
In the top triangle:
Angle 1 + Angle 2 + 90° = 180° (Angle sum of triangle)
Angle 1 = 22°
High blood pressure has been identified as a risk factor for heart attacks and strokes. The proportion of U.S. adults with high blood pressure is 0.2. A sample of 37 U.S. adults is chosen. Use the TI-84 Plus Calculator as needed. Round the answer to at least four decimal places.
Part 1
Is it appropriate to use the normal approximation to find the probability that more than 48% of the people in the sample have high blood pressure? It is not_______ appropriate to use the normal curve, since np = 7.4 ______< 10 and n (1 – p) = 29.6 2 10.
Part 2
A new sample of 82 adults is drawn. Find the probability that more than 32% of the people in this sample have high blood pressure. The probability that more than 32% of the people in this sample have high blood pressure is__________ X 5
Answer:
1. It is not appropriate to use the normal curve, since np = 7.4 < 10.
2. The probability that more than 32% of the people in this sample have high blood pressure is 0.0033 = 0.33%.
Step-by-step explanation:
Binomial approximation to the normal:
The binomial approximation to the normal can be used if:
np >= 10 and n(1-p) >= 10
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
Normal probability distribution
Problems of normally distributed distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
The proportion of U.S. adults with high blood pressure is 0.2. A sample of 37 U.S. adults is chosen.
This means, respectively, that [tex]p = 0.2, n = 37[/tex]
Is it appropriate to use the normal approximation to find the probability that more than 48% of the people in the sample have high blood pressure?
np = 37*0.2 = 7.4 < 10
So not appropriate.
It is not appropriate to use the normal curve, since np = 7.4 < 10.
Part 2:
Now n = 82, 82*0.2 = 16.4 > 10, so ok
Mean and standard deviation:
By the Central Limit Theorem,
Mean [tex]\mu = p = 0.2[/tex]
Standard deviation [tex]s = \sqrt{\frac{0.2*0.8}{82}} = 0.0442[/tex]
Find the probability that more than 32% of the people in this sample have high blood pressure.
This probability is 1 subtracted by the pvalue of Z when X = 0.32. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.32 - 0.2}{0.0442][/tex]
[tex]Z = 2.72[/tex]
[tex]Z = 2.72[/tex] has a pvalue of 0.9967.
1 - 0.9967 = 0.0033
The probability that more than 32% of the people in this sample have high blood pressure is 0.0033 = 0.33%.
Which of the following functions has a factor of x−7?
f(x)=x3−16x2+53x+63
f(x)=x3−2x2−73x−70
f(x)=x3−16x2+53x+70
f(x)=x3−2x2−73x−77
According to the question, the function that has a factor of x - 7 is f(x) = x³ - 16x² + 53x+ 70
If x - a is a factor of a function f(x), then f(a) = 0
For x - 7 to be a factor of f(x), f(7) must be equal to zero.
For f(x) = x³ - 16x² + 53x+ 70
f(7) = 7³ - 16(7²) + 53(7) + 70
f(7) = 343 - 16(49) + 53(7) + 70
f(7) = 343 - 784 + 371 + 70
f(7) = 0
Since f(7) = 0 for f(x) = x³ - 16x² + 53x+ 70, x - 7 is a factor of f(x) = x³ - 16x² + 53x+ 70
Learn more here: https://brainly.com/question/19273656
The 6th number in the series 2, 4, 6, 8, 10, ... is
Answer:
the answer is 12! good luck!:)
Answer:The answer is (b) 12
Step-by-step explanation:
Hi, this is basically a simple addition series, and each number increases by 2. The First number is 2 Second number = 2 + 2 =4 Third number = 4 + 2 = 6 Fourth number = 6 + 2 = 8 Fifth number = 8 + 2 = 10 and Sixth number = 10 + 2 = 12 .
Hope this helps!
Three angles of a quadrilateral are 75,120, 90,then the fourth angle..
Answer:
75
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityGeometry
Sum of Angles in a Quadrilateral: 360Step-by-step explanation:
Step 1: Set up
75 + 120 + 90 + ∠4 = 360
Step 2: Solve
Add: 285 + ∠4 = 360[Subtraction Property of Equality] Subtract 285 on both sides: ∠4 = 75can you all please help me with a and b
Answer:
Step-by-step explanation:
a.
area of one face=3²=9 units²
b.
whole surface area=6×3²=6×9=54 units²
A student is able to finish 2 homework problems per hour. If they have already completed 4 problems, how many hours will it take for them to finish an assignment which has 18 problems total? Give your answer to two decimal places.
Answer:
Step-by-step explanation:
4+2t=18
2t=14
t=7 hours
Answer:
7.00 hours
Step-by-step explanation:
They already did 4 problems and need to do 18 problems in total.
18 - 4 = 14 problems
2 problems/ per hour
14 problems/ 7 hours
It will take them 7 hours to finish. Since you said "Give your answer to two decimal places." You could write it as 7.00 hours.
which is greater 1/4 or 0.75
Answer:
0.75 is greater
Step-by-step explanation:
1/4=0,25 and 0.75 is greater than 0,25
if CORRECT answerS then good review
Answer:
number 8 is D) 78.7 in.
and number 9 is C) 63°
hope these are the answers you are looking for
Step-by-step explanation:
Felix divided his shirts into three equal groups. Evaluate when s = 18.
Answer:
3 and 6.
Step-by-step explanation:
Write and evaluate the expression. Then, check all that apply.
Felix divided his shirts into three equal groups. Evaluate when s = 18.
The expression is
The expression is
The expression is s/3
The expression is
The answer is
The answer is 6.
The difference between 30 and a number is 4.
Answer:
26
Step-by-step explanation:
30-4=26
thirty minus four equal 26
Identify the pair of angles as complementary, supplementary, or neither.
PLEASE HELP
Answer:
supplementary
Step-by-step explanation:
135 + 45 = 180
supplementary angle ALWAYS add up to 180.
Help me plsss tysmmmmm
(giving brainiest)
answer this correctly
Answer:
A =224 in ^3
Step-by-step explanation:
Answer:
56in squared
Step-by-step explanation:
- Functions F and A are defined by these equations below. Which function has a greater value when x is 2.5?
A. F(x) = 80-15x
B. A(x) = 25 + 10x
Answer:
The answer is D- A(x)=25+10x
Step-by-step explanation:
I cant really explain how i got the answer but i got it right
The function A(x) has greater value then F(x) for x = 2.5.
What is a function?A function is a relation between a independent variable and a dependent variable such that the value of dependent variable depends upon the independent one.
Given are two functions of [x] as follows -
F(x) = 80 - 15x
A(x) = 25 + 10x
We have the following functions -
F(x) = 80 - 15x
A(x) = 25 + 10x
Now, we will evaluate each function at x = 2.5.
F(2.5) = 80 - 15 x 2.5 = 42.5
and
A(2.5) = 25 + 10 x 2.5 = 50
It can be seen that A(2.5) > F(2.5)
So, the function A(x) has greater value then F(x) at x = 2.5
Therefore, the function A(x) has greater value then F(x) for x = 2.5.
To solve more questions on Evaluating functions, visit the link below-
https://brainly.com/question/24971874
#SPJ5
find the volume of the cylinder pictured below use 3.14 for pi give your answer rounded to the nearest tenth height 21ft diameter 10ft
Given:
Height of the cylinder = 21 ft
Dimeter of the cylinder = 10 ft
To find:
The volume of the cylinder.
Solution:
We have,
Dimeter of the cylinder = 10 ft
So, radius is half of diameter, i.e., 5 ft.
Volume of the cylinder is
[tex]V=\pi r^2h[/tex]
Where, r is the radius and h is the height.
Putting [tex]\pi=3.14[/tex], r=5 and h=21, we get
[tex]V=(3.14)(5)^2(21)[/tex]
[tex]V=(3.14)(25)(21)[/tex]
[tex]V=1648.5[/tex]
Therefore, the volume of the cylinder is 1648.5 cubic ft.
2 One six-sided die and one sixteen-sided die are rolled. What is the probability of rolling an even number on the six-sided die and rolling a 16 on the other die?
0.229
0.167
0.031
0.063
Answer:
C
Hope that helps!
Step-by-step explanation:
I’ve been trying to figure out this question but I am not able to please help
Answer:
its C
Step-by-step explanation:
ik
Answer:
D
Step-by-step explanation:
Since the total degrees of a circle is 360 and half of a circle is 180, 1/4 of a circle is 90 or less, D is the answer :)
Estimate the product of 3.8 and 11.9 rounding.
Answer:
48
Step-by-step explanation:
round off 3.8 to 4 and 11.9 to 12 and multiply the values
72
-) A 5-kilogram (kg) bag of rice is $9 and the 2-kg bag is $4.50. Calculate the unit price of each bag of rice.
Show the steps you used:
a) The large (5-kg) bag is $.
/per kg.
/per kg and the small (2-kg) bag is $
b) How much will you save per kilogram if you buy the larger bag of rice? $_
/per kg
opted from
Answer:
$1.8
$2.25
$0.45
Step-by-step explanation:
a)
Unit Price = Cost/Volume
= 9/5
= $1.8/Kg for the 5Kg
4.5/2
= $2.25/Kg for the 2Kg
b)
($2.25-$1.8) per kg
= $0.45
Write 3.08 × 10-5 as an ordinary number.
Answer:
0.0000308
Step-by-step explanation:
there are 5 places that it has moved from.
8/5 ÷ 3/5 = ??????????
Answer:
Step-by-step explanation:
8/3
What does 60/8 x 13?
My calculator says 97.5
Answer:
195/2
Step-by-step explanation:
60/8=15/2
15/2*13=195/2
a bank teller counted P1,250.00 in P 0.25 coin and P3,200.00 in P0.10 coins how many coins in all were counted
answer:
Step-by-step explanation:
1250 plus 0.25 equals 1250.25 plus 1250.25 plus 3200 equals 4450.25 plus 0.10 equals 4450.35
Find an explicit rule for each geometric sequence using subscript notation. Use a calculator and round your answer to the nearest tenth if necessary.
The fourth term of the sequence is 234. The sixth term is 104.
The explicit rule for the geometric sequence is an
Step-by-step explanation:
Geometric sequences are of the form a * b^x, where a and b are real constants.
We have a * b⁴ = 234 and a * b⁶ = 104.
Dividing the second equation by the first,
we get b² = 4/9, so b = 2/3.
When x = 4, a * b⁴ = 234.
=> a * (2/3)⁴ = 234, a = 1184.625
Hence the explicit rule
is a(n) = 1184.625 * (2/3)^n.
Answer:
Hence the explicit rule is a(n) 1184.625 *(2/3)^n.
Assume that the probability of a driver getting into an accident is 7.1%, the average cost of an accident is $14,886.0 , and the overhead cost for an insurance company per insured driver is $110 . What should the driver's insurance premium be?
Answer: $1166.91
Step-by-step explanation:
The following can be deduced from the question:
Average cost of an accident = $14,886.05
Probability of a driver getting into an accident = 7.1% = 7.1/100 = 0.071.
Overhead cost for insurance = $110
Therefore, the expected cost of an accident will be calculated as:
= Average cost of an accident × Probability of a driver getting into an accident
= $14,886.05 × 0.071
= $1056.91
Therefore, the driver's insurance premium will then be:
= $1056.91 + $110
= $1166.91
Can anyone help me with 5-9?
Answer:
5. 1/4, 4/16
6. 4/5, 16/20
7. 1/3, 6/18
8. 2/9, 4/18
9. 1/3, 3/9
Step-by-step explanation:
Hope that helps!
A number cube with the numbers 1 through 6 is rolled. Find the probability of rolling the number 4.
Answer:
1/6 chance of rolling a 4
i really really need the answer plz help this is the fourth time im asking this question plz help.
Answer:
5g-4/4your answer right answer
Step-by-step explanation:
we have to find value of g ????
The 10 members of a hiking club will walk 9 miles. Each person will carry the food pack for an equal distance. How far will each hiker carry the food pack?
Answer:
0.9 miles per member
Step-by-step explanation:
Total distance = 9 miles
Number of members = 10
If they are to carry the food back for an equal distance, we have to fin
Distance covered by a person with the food pack = Total distance / Number of members
Distance covered by a person with the food pack = 9 / 10 = 0.9 miles per member
