Out of 200 people sampled, 52 had kids. Based on this, construct a 99% confidence interval for the true population proportion of people with kids.
Answer:
0.180144 < p < 0.339856
Step-by-step explanation:
According to the Question,
Given That, Out of 200 people sampled, 52 had kids, Thus the proportion of the mean is 52/200 = 0.26⇒ standard error of the sample is square root(0.26 * (1-0.26) / 200) = 0.031
⇒alpha(a) = 1 - 99/100 = 0.01
⇒critical probability(p*) = 1 - a/2 = 0.995
⇒assuming a normal distribution, look for the z-score associated with 0.995 cumulative probability , z-score = 2.576
⇒margin of error(ME) = 2.576 * 0.031 = 0.079856
the confidence interval is 0.26 + or - 0.0798560.180144 < p < 0.339856
(easy math questions please help) find the value of x
Answer:
Look below
Step-by-step explanation:
1: 19
2: 34
3: 63
4: 8
5: 52
6: 81
7: 4
8: 39
9: 18
Hope this helped :)
What is the measure of Angle X? I'm not sure if its B.
Answer:
the sum of all angles in a triangle is 180°.
the two triangles got the same angles I suppose
180-85-25 = 70
70° is the answer
Answer:
X = 70
Step-by-step explanation:
Since ABC is similar to XYZ
Angle A is equal to angle X
We can find angle A since the sum of the angles of a triangle is 180
A + B+C = 180
A + 85+25 = 180
A + 110 =180
A = 180-110
A = 70
X = 70
The volume of a cylinder is calculated by multiplying the area of the base and the height. The volumes of a cylinder and a cone with the same radius and height are shown.
Which describes how to find the volume of a cone?
Answer:
Volume of a cone = ⅓volume of a cylinder
2. Evaluate the function (3pts each) f(x) = 2x2 -*+5 a) f(-2) b) f(2x) c) f(x-1) 3. Find the domain of the function. (5 pts each) 7X-5 a) f(x) = Vax- x²1 b) g(x) = x25x+6 Domain: Domain: 4. Calculate the difference quotient on the following function. You must show work for credit. (5pts) f(x) = 3x2 - 5
Answer:
2a : f(-2) = 15
2b : f(2x) = 8x² - 2x + 5
2c : f(x-1) = 2x² - 5x + 8
3a : x > 1/3
3b : x <> {2,3}
4 : 6x
Step-by-step explanation:
2a.
2×(-2)² - (-2) + 5 = 2×4 + 2 + 5 = 15
2b.
2×(2x)² - 2x + 5 = 2×4x² - 2x + 5 = 8x² - 2x + 5
2c.
2×(x-1)² - (x-1) + 5 = 2×(x² - 2x + 1) - x + 1 + 5 =
= 2x² - 4x + 2 - x + 1 + 5 = 2x² - 5x + 8
3a.
the square root is not defined for negative values, which would happen for any x < 1/3. and for x=1/3 the expression would be a division by 0, which is also undefined.
so, all that is left is x>1/3.
3b.
we must avoid a division by 0. everything else is well defined.
so, when is that expression x² - 5x + 6 = 0 ?
solution for a quadratic equation is
x = (-b ± sqrt(b² - 4ac))/2a
a = 1
b = -5
c = 6
x = (5 ± sqrt(25 - 24))/2 = (5 ± sqrt(1))/2 = (5 ± 1)/2
x1 = (5+1)/2 = 6/2 = 3
x2 = (5-1)/2 = 4/2 = 2
so, these values must be avoided for x. everything else is valid.
4.
(f(x+h) - f(x))/h
for h going to 0.
f(x) = 3x² - 5
f(x+h) = 3×(x+h)² - 5
f(x+h) - f(x) = 3×(x² + 2hx + h²) -5 - 3x² + 5 =
= 3x² + 6hx + 3h² - 3x² = 6hx + 3h²
=>
(f(x+h) - f(x))/h = (6hx + 3h²)/h = 6x + 3h = for h 0 = 6x
Solve the following algebra
4-3(6)-1
Answer:
-15Step-by-step explanation:
4-3(6)-1
= 4 - 18 - 1
= 4 - 19
= -15 (Ans)
What is the median of the data represented in the box plot below?
Answer: 80
Step-by-step explanation: Because it is in the middle.
Computer keyboard failures are due to faulty electrical connects (8%) or mechanical defects (92%). Mechanical defects are related to loose keys (27%) or improper assembly (73%). Electrical connect defects are caused by defective wires (35%), improper connections (13%), or poorly welded wires (52%). Round your answers to four decimal places (e.g. 98.7654).
Solution :
Faulty electrical connects = P(A) = 0.80
Mechanical defects = P(B) = 0.92
Mechanical defects are related to loose keys = P(C/B) = 0.27
Improper assembly = P(D/B) = 0.73
Defective wires = P(E/A) = 0.35
Improper connections = P(F/A) = 0.13
Poorly welded wires = P(G/A) = 0.52
Now, the probability due to loose keys = 0.27 x 0.92 = 0.2484
Improperly connected = 0.13 x 0.80 = 0.1040
Poorly welded wires = 0.52 x 0.80 = 0.4160
So, the probability that a failure is due to improperly connected or poorly welded wires = 0.1040 + 0.4160
= 0.5200
a graph of a non-vertical straight line is a?
a) nonlinear function
b) exponential function graph
c) non-function
d) linear function
Answer:
The correct answer is d
Step-by-step explanation:
A graph of a non-vertical straight line is a linear function
Find RS. Explain your reasoning.
6x + 5=9x - 4
Answer:
x = 3
Step-by-step explanation:
Given the equation :
6x + 5=9x - 4
Collect like terms :
6x - 9x = - 4 - 5
-3x = - 9
Divide both sides by - 3
-3x / - 3 = - 9 / - 3
x = 3
Hence, x = 3
Solve the following equation: -4(y - 2) = 12 *
1 point
y = 1
y = 5
y = -1
y = -5
y = 14
Answer:
y = -1
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 EqualityStep-by-step explanation:
Step 1: Define
Identify
-4(y - 2) = 12
Step 2: Solve for y
[Division Property of Equality] Divide -4 on both sides: y - 2 = -3[Addition Property of Equality] Add 2 on both sides: y = -1Answer:
-4y+8=12
-4y=12-8
-4y=4
y=-1
1. Find k, the constant of proportionality, for the given graph.
2. Write an equation of the form y = kx for the relationship shown in the graph.
Answer:
The answer is B or 15.
Step-by-step explanation:
the total money saved divided by the time is always 15
If MNLP, then 2 _____ 3. Choose the relationship symbol to make a true statement. < > =
Answer:
The answer is > (greater than)
Step-by-step explanation:
It is > because if MN is the larger side and the largest angle would be across from the largest side, then that would make the largest angle, angle 2 and that would in turn make 3 the smaller angle. I know this is correct because I got it right.
A right triangle has side lengths 5, 12, and 13 as shown below. Use these lengths to find tan A, sin A, and cos A. (GIVING BRAINLEST TO BEST ANSWER)
Answer:
see below
Step-by-step explanation:
tan A = opp / adj = 5/12
sin A = opp / hyp = 5/13
cos A = adj / hyp = 12/13
Can someone please help, will mark brainliest!! thank you
The numbers are 25 125 (-5x) if you cant read them
Answer:
Step-by-step explanation:
25+125+(-5x)=180 degree (sum of the interior angles of a triangle is 180 degree)
150-5x=180
-5x=180-150
x=30/-5
x=-6
Explain why the equation is not linear.
5/x - y = 1
A. x Should be an exponent.
B. The x variable appears in the denominator.
C. The coefficient of both variables must be equal.
D. There should be an exponent of 2 on either x or y.
Answer:
B. The x variable appears in the denominator.
Step-by-step explanation:
Given
[tex]\frac{5}{x} - y = 1[/tex]
Required
What makes it not linear
First, make y the subject
[tex]y = \frac{5}{x}+1[/tex]
A linear equation is represented as:
[tex]y = mx + b[/tex]
Notice that the exponent of x in the general form is: 1
This means that x has to appear as a numerator
In [tex]y = \frac{5}{x}+1[/tex], the exponent of x is -1
This means that x has to appear as a denominator
Hence, (b) is true
Algebraically manipulating the formula I = Prt, find the principal (PV) deposited in a savings account which earned $11,000 in interest at a simple interest rate of
9.5% for 15 years to the nearest whole cent).
$7,312.07
$8,083.92
$7.719.30
$6,987.44
None of these choices are correct.
Answer: the required principal value is $7,719.30
Step-by-step explanation:
Given: Formula to calculate interest : I= Prt, P=principal value, r = rate of interest, t = time.
I = $11,000
r= 9.5% = 0.095
t= 15 years
Substitute in formula, we get
[tex]11000=(P)\times (0.095)\times(15)\\\\\Righatrrow\ P=\dfrac{11000}{0.095\times15}\approx\$7719.30[/tex]
Hence, the required principal value is $7,719.30
solve for the missing values in the table below:
Answer:
The answers to your questions are given below.
Step-by-step explanation:
A. Determination of the length.
Length (cm) = 32
Length (m) =?
Length (mm) =?
I. Determination of the length in m.
100 cm = 1 m
Therefore,
32 cm = 32 × 1 m / 100 cm
32 cm = 0.32 m
II. Determination of the length in mm
1 cm = 10 mm
Therefore,
32 cm = 32 cm × 10 mm / 1 cm
32 cm = 320 mm
B. Determination of the height.
Height (m) = 1.58 m
Height (cm) =?
Height (mm) =?
I. Determination of the height in cm.
1 m = 100 cm
Therefore,
1.58 m = 1.58 m × 100 cm / 1 m
1.58 m = 158 cm
II. Determination of the height in mm
1 m = 1000 mm
Therefore,
1.58 m = 1.58 m × 1000 mm / 1 m
1.58 m = 1580 mm
C. Determination of the width.
Width (mm) = 36 mm
Width (m) =?
Width (cm) =?
I. Determination of the width in m.
1000 mm = 1 m
Therefore,
36 mm = 36 mm × 1 m / 1000 mm
36 mm = 0.036 m
II. Determination of the width in cm
10 mm = 1 cm
Therefore,
36 mm = 36 mm × 1 cm / 10 mm
36 mm = 3.6 cm
D. Determination of the length.
Width (mm) = 105 mm
Width (m) =?
Width (cm) =?
I. Determination of the width in m.
1000 mm = 1 m
Therefore,
105 mm = 105 mm × 1 m / 1000 mm
105 mm = 0.105 m
II. Determination of the width in cm
10 mm = 1 cm
Therefore,
105 mm = 105 mm × 1 cm / 10 mm
105 mm = 10.5 cm
E. Determination of the length.
Length (m) = 2 m
Length (cm) =?
Length (mm) =?
I. Determination of the length in cm.
1 m = 100 cm
Therefore,
2 m = 2 m × 100 cm / 1 m
2 m = 200 cm
II. Determination of the length in mm
1 m = 1000 mm
Therefore,
2 m = 2 m × 1000 mm / 1 m
2 m = 2000 mm
Summary:
Item >>>>>>>> m >>>> cm >>>> mm
A. Lenght >>> 0.32 >> 32 >>>> 320
B. Height >>> 1.58 >> 158 >>>> 1580
C. Width >>> 0.036 >> 3.6 >>>> 36
D. Length >> 0.105 >> 10.5 >>> 105
E. Width >>> 2 >>>>>> 200 >>> 2000
Sabah has $450 to pay for college textbooks. She expects to pay about $75 per book.
Her friend told her that 4 of them can be checked out of the library for free
Complete the equation below to find the total number of books that Sabah can get for
her classes. Use b to represent the total books,
Answer:.
75(b - 4) = 450
Step-by-step explanation:
Given that :
Total amount to spend on books = 450
Total number of books = b
Cost per book = 75
Number of free books = 4
Hence, the number of books sabah will have to pay for will be :
Total Number of books - number of free books
b - 4
Cost of books purchased will be ;
Cost per book * number of books ;
75 * (b - 4)
Total cost = 450
Hence, we have ;
75(b - 4) = 450
Answer:
look at pic
Step-by-step explanation:
In ΔQRS, the measure of ∠S=90°, RQ = 41, QS = 9, and SR = 40. What is the value of the cosine of ∠R to the nearest hundredth?
Answer:
cos R = .98
Step-by-step explanation:
cos R = SR/QR
QR is the hypotenuse of the right triangle. By the Pythagorean theorem
(QR)^2 = (QS)^2 + (SR)^2
= 9^2 + 40^2
= 81 + 1600
= 1681
QR = 41
Cos R = adjacent side/hypotenuse = 40/41 = .98
The value of the cosine of ∠R to the nearest hundreth is 0.98.
What is a right angle triangle?A right angle triangle has one of its angles as 90 degrees. The sides and angles can be found using trigonometric ratios.
The sides can also be found using pythagoras theorem. Therefore,
∠S = 90°
RQ = 41
QS = 9
SR = 40
cos R = adjacent / hypotenuse
Therefore,
adjacent side = 40
hypotenuse = 41
cos R = 40 / 41
cos R = 0.97560975609
cos R = 0.98
learn more on right triangle here: https://brainly.com/question/27309330
Solve the following equation: -3x + 10 = 21 *
1 point
x = 11/3
x = -11/3
x = 16/3
x = -16/3
x = 3
x = -3
x = 17
x = -17
in a set of data 3,4,5,6,7,8,9,10,11 the probability that an odd number is chosen is
Answer:
5/9, or 56%, or 0.55...
Step-by-step explanation:
Answer:
5/9
Step-by-step explanation:
HELP MEE PLEASEEE I DONT WANNA FAIL SUMMER SCHOOL NO LINKS OR FILES DEEPLY APPRECIATED
Answer:
9) both of them are in cups measurements, plus they are both ingredients you can use to bake something.
10) both are fruits, both are a similar size.
11) both are animals, though the "41 animals" isn't specified to which animal they are.
12) both are blocks
13) both are cars, both have colors
14) both are types of people with different types of hair colors
Image attached Please help asap
How many 120° angles are in a circle?
Answer:
your answer is 12
I've answered it before and got it right
Answer:
Hello! answer: 3
Step-by-step explanation:
Perfect circles are 360 degrees
120 × 3 = 360 therefore the answer would be 3 Hope that helps!
The mean of data set A is 42. The mean of data set B is 47. The mean absolute deviation (MAD) of both data sets is 2.5. What is the difference of the means as a multiple of the MAD?
Answer:
b
Step-by-step explanation:
Multiply the following polynomials.
(3x²- 5x + 2)(7x + 1)
A. 21x³- 35x²+ 14x + 1
B. 21x³+ 38x²+ 19x + 2
C. 21x³+ 3x²+ 14x + 2
D. 21x³- 32x²+ 9x + 2
Answer:
21x^3-32x^2+9x+2
Step-by-step explanation:
(3x²- 5x + 2)(7x + 1)
Distribute
7x* (3x²- 5x + 2) + 1 *(3x²- 5x + 2)
21 x^3 -35x^2 +14x + (3x²- 5x + 2)
Combine like terms
21x^3-32x^2+9x+2
Answer:
D. 21x³- 32x²+ 9x + 2
Step-by-step explanation:
( 3 x²- 5 x + 2 ) ( 7 x + 1 )
Using distributive property
7 x ( 3 x²- 5 x + 2 ) + 1 ( 3 x²- 5 x + 2 )
multiply,
21 x ³ - 35 x² + 14 x + 3 x² - 5 x + 2
arranging like terms together
21 x³ - 35 x² + 3 x² + 14 x - 5 x + 2
21 x ³ - 32 x² + 9 x + 2
what is cardinal number of set when A={2,4,6,8}
Answer:
4
Step-by-step explanation:
The Cardinal number of a set can be explained as the number of distinct element in a finite set :
Given the set :
A = (1,2,3,4)
The number of distinct element in the set is :
4, hence, the Cardinal number of the set is 4
.Write the equation of the line with m = 3 going through the point (–2, –5). Put your answer in Slope–Intercept Form.
Answer:
[tex]y = 3x +1[/tex]
Step-by-step explanation:
Given
[tex]m = 3[/tex]
[tex](x_1,y_1) = (-2,-5)[/tex]
Required
The equation
This is calculated as:
[tex]y = m(x - x_1) + y_1[/tex]
So, we have:
[tex]y = 3(x - -2) -5[/tex]
[tex]y = 3(x +2) -5[/tex]
Open bracket
[tex]y = 3x +6 -5[/tex]
[tex]y = 3x +1[/tex]
The town’s annual budget totals $30 million. If ⅖ of the budget goes toward education, how many dollars go to education?