Answer:
.0228
Step-by-step explanation:
44 is two standard deviations below the mean z-score = -2
look up z-score = -2 in z-score table
= .0228 or 2.28 %
Answer:
0.025
Step-by-step explanation:
B.) what fraction of the cost is spent on food and entertainment? food- 17% entertainment- 24% they have 3000 dollars
The quantity spent on amusement = 720
quantity spent on food = 510
they have got 3000 for vacation.
amount spent on food = 17% of 3000
⇒ 17/one hundred*3000
17*30= 510
amount spent on amusement = 24% of 3000
⇒ 24/100*3000
24*30= 720
A person would possibly account for a terrible temper or general rude conduct by explaining that bad site visitors affected the morning travel, for example. someone who is exceeded over for a promotion would possibly rationalize the frustration by means of claiming to not have desired so much responsibility in the end.
To carry into accord with cause or reason something to appear reasonable especially: to characteristic (one's actions) to rational and creditable motives without evaluation of proper and especially unconscious motives he attempted to rationalize his merciless behavior. intransitive verb.
Ego protection wherein apparently logical motives are given to justify unacceptable behavior that is influenced by subconscious instinctual impulses. In the psychoanalytic concept, such conduct is considered to be a defense mechanism.
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The sum of all but one interior angle of a heptagon is 776°. What is the measure of the final interior angle? 42º 56º 124º 304º
The measure of the seventh interior angle of the heptagon is 124°. (Correct choice: C)
What is the measure of the missing interior angle in a heptagon?
Heptagons are polygons with seven sides, seven vertices, seven interior angles and seven central angles. Herein we know the value of the sum of six interior angles and we need to know the measure of the seventh interior angle. We can determine the measure of the seven interior angles by using the following expression:
θ = (n - 2) · 180°, where n is the number of sides of the polygon. (1)
If we know that n = 7, then sum of the internal angles in the heptagon is:
θ = (7 - 2) · 180°
θ = 900°
And the measure of the final interior angle is found by subtraction:
θ₇ = 900° - 776°
θ₇ = 124°
The measure of the seventh interior angle of the heptagon is 124°. (Correct choice: C)
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If RT = 90, find the length of RO. (SU = 25)(SO is perpendicular to RT)
In the given figure of circle, if RT = 90, SU = 25, and SO is perpendicular to RT, the length of the radius RO is 53.
In the given figure,
RT = 90
SU = 25
SO is perpendicular to RT.
Here, SO and RO are the radii of the circle and RT is a chord.
The length of the chord, RT is given as,
RT = 2 √(r² - d²)
Here, r is the radius and d is the distance of the chord RT from the center O.
Radius, r = RO and distance, d = OU
∴ RT = 2 √(RO² - OU²)
Substituting RT = 90 in the above equation, we get,
90 = 2 √[(RO)² - (OU)²]
√[RO)² - (OU)²] = 45
(RO)² - (OU)² = 45²
(RO)² - (OU)² = 2025 ........... (1)
Now, OU = SO - SU [From the figure]
⇒ OU = SO - 25
Substituting OU = SO - 25 in equation (1), we obtain,
(RO)² - (SO - 25)² = 2025
(RO)²- [(SO)² + (25)² - 2(SO)(25)] = 2025 [ ∵ (a-b)² = a²+b²-2ab ]
(RO)²- (SO)² - (25)² + 50(SO) = 2025 ........... (2)
Since, RO and SO both are the radii of the same circle, we have,
SO = RO
Thus, we can write equation (2), as follows,
⇒ (RO)² - (RO)² - (25)² + 50(RO) = 2025
⇒ -625 + 50RO = 2025
⇒ 50RO = 2025 + 625
⇒ RO = 2650/50
⇒ RO = 53
Hence, the length of the radius RO of the given circle is 53.
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5. Where is the graph increasing?
Answer:
Increases from points 0x,-6y to 2x,-3y.
Step-by-step explanation:
Transformation example
Answer:
Rotation, Reflection, Dilation.
Step-by-step explanation:
PLRASE HELPPP PLS IM STUCK
Answer:
Khan Academy.
Step-by-step explanation:
You can go on khan academy and search up "percentages and numbers." The videos should immediately pop up. there are also lessons if you don't want to risk getting your problem wrong. If you are still confused and do not understand please just comment and I will respond.
Use cylindrical coordinates to find the volume of the region in the first octant bounded by the cylinder r and the plane z.
The volume of the region in first octant is 9.
Given that the region in the first octant bounded by the cylinder r=3 and the plane z=y.
The graph is shown below.
we are given that first octant is bound by r=3 and z=y
We will use the conversion formula, i.e.
x²+y²=r² where x=rcos∅ and y=rsin∅
Firstly, we will find bound octant
0≤∅≤π/2
0≤r≤3
0≤z≤r sin∅
Now, we can set up integral
[tex]V=\int_{0}^{\frac{\pi}{2}}\int_{0}^{3}\int_{0}^{rsin(\theta)}rdzdrd\theta[/tex]
Further, we can solve it.
Firstly, we solve integral for z then we solve for r and after that we will solve for ∅, we get
[tex]\begin{aligned}V&=\int_{0}^{\frac{\pi}{2}}\int_{0}^{3}r^2 \sin (\theta)dr d\theta\\&=\int_{0}^{\frac{\pi}{2}}\frac{1}{3}r^3\sin \theta d\theta\left|_{0}^{3}\\ &=\int_{0}^{\frac{\pi}{2}}\left(\frac{1}{3}\sin\theta d\theta(27-0)\right)\\ &=\int_{0}^{\frac{\pi}{2}}9\sin \theta d\theta\\ &=0-(-9)\\ &=9\end[/tex]
Hence, the volume of the region in the first octant is bounded by the cylinder r=3 and the plane z=y is 9.
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Ann invested $9000 in an account that earns 4.7% interest compounded annually . how much did ann have in the account after 5 years
The correct answer is FV = $11,323.38
What is compound interest explain?
Compound interest is when you earn interest on both the money you've saved and the interest you earn. So let's say you invest $1,000 (your principal) and it earns 5 percent (interest rate or earnings) once a year (the compounding frequency).FV = PV x [1 + R]^N, where FV=Future Value, PV=Present Value, R=Interest rate per period, N=Number of periods.
FV = 9,000 x [1 + 0.047]^5
FV = 9,000 x 1.047^5
FV = 9,000 x 1.258152857750007
FV = $11,323.38
Therefore , the answer is $11,323.38.
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If A and B are independent events and P(A)=0.25 and P(B)=0.333, what is the probability P(ANB)?
a) 1.33200
b) 0.75075
c) 0.08325
d) -0.0830
The probability P(ANB), that is, P(A ∩ B), given that A and B are independent events and P(A) = 0.25 and P(B) = 0.333 is 0.08325. Hence, option C is the right choice.
For any two events A and B, the probability of event A and B, that is, P(A ∩ B) is given as:-
When the events are dependent, P(A ∩ B) = P(A).P(B|A).When the events are independent, P(A ∩ B) = P(A).P(B).In the question, we asked the probability P(ANB), that is, P(A ∩ B), given that A and B are independent events and P(A) = 0.25 and P(B) = 0.333.
We know that when the events are independent, P(A ∩ B) = P(A).P(B).
Thus, P(A ∩ B) = (0.25)*(0.333),
or, P(A ∩ B) = 0.08325.
Thus, the probability P(ANB), that is, P(A ∩ B), given that A and B are independent events and P(A) = 0.25 and P(B) = 0.333 is 0.08325. Hence, option C is the right choice.
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Figure TUVS is a parallelogram.
Parallelogram T U V S is shown. Angle U is (4 x + 9) degrees and angle V is (6 x minus 29) degrees.
Which angles equal 91°?
angles T and V
angles S and U
angles U and V
angles S and T
Angles T and V of the parallelogram are equal to 91°.
Calculating the Value of x
In the parallelogram TUVS, adjacent angles U and V are given as,
U = 4x+9
V = 6x-29
Since U and V are adjacent angles, and as per the properties of a parallelogram, sum of adjacent angles is equal to 180°.
4x+9 + 6x-29 = 180
10x - 20 =180
10x = 200
x = 20
Calculating the Angles of the Parallelogram
∠U = 4x + 9
∠U = 4(20) + 9
∠U = 80 + 9
∠U = 89°
∠V = 6x - 29
∠V = 6(20) - 29
∠V = 120 - 29
∠V = 91°
According to the properties of a parallelogram, opposite angles are of equal measure.
∴ ∠T = ∠V and ∠S = ∠U
⇒ ∠T = 91° and ∠S = 89°
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Answer:
angles t and v
Step-by-step explanation:
edge
Area=
Help me please thanks so much :)
Answer:
48π
Step-by-step explanation:
To find the area of the shaded region, find the area of the large circle and the small circle then subtract.
Large circle:
8²π=64π
Small circle:
4²π=16π
Now subtract 16 from 64.
64-16=48
The area of the shaded region is 48π.
Hope this helps!
A train leaves the station at 11 a.m. traveling at the rate of 40 miles per hour. A faster train leaves the same station at 1 p.m. that afternoon and travels in the same direction on a parallel track at a rate of 60 miles per hour. At what time will the faster train overtake the slower one
The faster train overtake the slower on 5 p.m.
How to solve such time related questions?
The key concept for solving such questions is the relationship between speed, distance and time.
The relationship between them is Distance = Speed x Time.
Let the number of hours after 1pm at which faster train will overtake slower train be x.
At overtaking point,
Distance travelled by slower train = Distance travelled by faster train
Given :
Speed of slower train = 40 miles per hourSpeed of faster train = 60 miles per hourTime taken by faster train = xTime taken by slower train = x + 2.On equating distances we get
40 x ( x + 20) = 60 x (x)
40x + 80 = 60x
20x = 80
x = 4.
∴The faster train overtake the slower on 1 + 4 = 5 p.m.
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Evaluate the following expression by applying the appropriate properties (24) 3 (31.7)/ 172
−3/7×14/15×7/12×(−30/35)
=(−3/7×14/15)×(7/12×−30/35)
On further calculation, we get
=−2/5×−1/2
We get,
=1/5.
Property 1:
If a/b is a rational number and m is a non-zero integer then a/b =(a*m)/(b*m). In other words, we can say that the rational number remains unaltered if we multiply both the numerator and denominator with the same integer. Ex: 2/3 = 2*2/3*2 = 4/6, 2*3/3*3 = 6/9, 2*4/3*4 = 8/12.
Math Properties
Commutative Property.
Associative Property.
Distributive Property.
Identity Property.
Inverse Property.
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id love some help!!!
Answer:
Circle:circle is a special kind of ellipse in which the eccentricity is zero and the two foci are coincident.
[tex] \sf{formula \: to \: find \: the \: area \: is}[/tex][tex] \large{ \boxed{ \tt{A = {\pi \times r}^{2} }}}[/tex]
[tex] \sf{formula \: to \: find \: perimeter \: of \: circle \: is}[/tex][tex] \large {\boxed{ \tt{p = 2 \times \pi \times r}}}[/tex]
Continue to Question.If the radius is 2 inches and
Use 3,14 for π So:
[tex] \tt{ {A = \pi \times {r}^{2} }}[/tex]
[tex] \tt{A = (3.14 \times 2 \times 2)} [/tex]
[tex] \red{ \boxed{ \bold{A = 12.56 {inches}^{2} }}}[/tex]
So, The Area of circle is 12.56inches²WILL MAKE BRAINLIEST
5. If m2ABC= 180°, is the angle right, straight, obtuse, or acute?
obtuse
acute
straight
right
Dalvin took a taxi from his house to the airport. The taxi company charged a pick-up fee of $4.80 plus $2 per mile. The total fare was $30.80, not including the tip. Which tape diagram could be used to represent the context if mm represents the number of miles in the taxi ride?
Answer:
The equation should be 2.5x+1.8=59.3
Step-by-step explanation:
The number of miles in the taxi ride is 10
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Given;
Dalvin took a taxi from his house to the house. The taxi company charged a pick-up fee of $4.80;
The fare per mile is $2
The total fare was $30.80, not including the tip;
Let the number of mile is x
Total fare = pick up fee + fee per mile
30.80 = 4.80 + 2x
2x = 26
x = 13
Therefore, the number of miles by algebra Dalvin took a taxi will be 13
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What is the simplified form of tan (pi÷4-x)
Answer:
π/4 − x
Step-by-step explanation:
I hope its correct
Which
expression is equivalent to
(x^6y^8)^3/x^2y^2
Answer: [tex]x^{16}y^{22}[/tex]
Step-by-step explanation:
[tex]\frac{(x^6 y^8)^3}{x^2 y^2}=\frac{x^{18}y^{24}}{x^2 y^2}=x^{16}y^{22}[/tex]
1/5n+3/5n=7/9
Can you help?
The value of n from the given expression is 35/36
Solving linear equationGiven the equation below expressed as:
1/5n+3/5n=7/9
Find the LCM
(n+3n)/5 = 7/9
4n/5 = 7/9
Cross multiply
4n * 9 = 5* 7
36n = 35
n = 35/36
Hence the value of n from the given expression is 35/36
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1/5n+3/5n=7/9
Can you help?
The value of n in 1/5n+3/5n=7/9 is 35/36
How to solve the equation?The equation is given as:
1/5n+3/5n=7/9
Multiply through by 5
n + 3n = 35/9
Evaluate the sum
4n = 35/9
Divide both sides by 4
n = 35/36
Hence, the value of n in 1/5n+3/5n=7/9 is 35/36
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Someone help me out on these 2 geometry questions, ASAP!!!
“Complete the proofs”
Question 11
1) [tex]\overline{BA} \cong \overline{FA}[/tex], [tex]\angle 1 \cong \angle 2[/tex] (given)
2) [tex]\angle A \cong \angle A[/tex] (reflexive property)
3) [tex]\triangle AEB \cong \triangle ACF[/tex] (ASA)
4) [tex]\overline{AC} \cong \overline{AE}[/tex] (CPCTC)
Question 12
1) Isosceles [tex]\triangle ACD[/tex] with [tex]\overline{AC} \cong \overline{AD}[/tex], [tex]\overline{BC} \cong \overline{ED}[/tex] (given)
2) [tex]\angle ACD \cong \angle ADC[/tex] (angles opposite congruent sides in a triangle are congruent)
3) [tex]\angle ACB[/tex] and [tex]\angle ACD[/tex] are supplementary. [tex]\angle ADC[/tex] and [tex]\angle ADE[/tex] are supplementary (angles that form a linear pair are supplementary)
4) [tex]\angle ACB \cong \angle ADE[/tex] (supplements of congruent angles are congruent)
5) [tex]\triangle ABC \cong \triangle AED[/tex] (SAS)
6) [tex]\overline{AB} \cong \overline{AE}[/tex] (CPCTC)
7) [tex]\triangle ABE[/tex] is an isosceles triangle (a triangle with two congruent sides is isosceles)
Note: I changed the names of the segments in Question 11 because of the word filter.
Based on the estimated cost of college from step 1, determine how you are going to pay for college. You will need to do some research to learn about the various methods used to pay for college costs.
Complete the table below to document your financial needs.
Source Estimated Need
grants
loans
scholarships
work-study
other
This is a budgeting exercise. Based on the estimated cost of college which was set at $58,000, the following steps indicate how I intend to pay for college:
Scholarship - 70% = $40,600Work Study - 17.2% = $10,000Loan - 12.76% = $7, 400$58,000
What is budgeting?Budgeting is simply the process of outlining the total expense requirements of an individual person or a corporate entity and how those expenses will be satisfied and efficiently allocated.
From the above, the total sum of $58,000 will be satisfied from three sources:
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On a piece of paper, graph y ≤ -2x. Then determine which answer matches
the graph you drew.
Answer: Graph provided below.
Step-by-step explanation:
Draw the graph of y = -2x and then shade the region below it because y is less than and equal to -2x. To draw the graph of y = -2x, plug in x values into the equation and plot the corresponding coordinates. See this video on how to graph linear equations:
https://www.khanacademy.org/math/in-in-grade-9-ncert/xfd53e0255cd302f8:linear-equations-in-two-variables/xfd53e0255cd302f8:graph-of-a-linear-equation-in-two-variables/v/graphs-of-linear-equations
Gavin has nickles, dimes, and quarters in the ratio of 1:3:6 if 57 of Gavin's coins are dimes how many nickels and quarters does Gavin have?
Answer:
Gavin has 19 nickels & 114 quarters
Step-by-step explanation:
N : D : Q
1 : 3 : 6 = 57
x : 57 : y
57 / 3 = 19
1 x 19 : 3 x 19 : 6 x 19
19 : 57 : 114
please help!
A) A top-class tennis player can serve the ball, of mass 57 g, at an initial horizontal speed of 50 m/s. The ball remains in contact with the racket for 0.05 s. Calculate the average force exerted on the ball during the serve.
B) A motor car of mass 3000 kg moving with 72 km h-1 made to reduce its speed to 18 km h^-1, in 40 s, by applying brakes. Find the resistive force.
The average force exerted on the ball during the serve is 57 N the resistive force is -1125 N.
Forcea. Average force
Using this formula
Force (F) = Mass ×Acceleration
Where:
Mass (m) = 57 g = 57 / 1000= 0.057 Kg
Acceleration (a) = u / t = 50 / 0.05 = 1000 m/s²
Let plug in the formula
Force (F) = 0.057 × 1000
Force (F) = 57 N
b. Resistive force
F = m(v – u) / t
Where:
Force (F) = ?
Mass (m) = 3000 Kg
Initial velocity (u) = 72 Km/h = 72 / 3.6 = 20 m/s
Final velocity (v) = 18 Km/h = 18 / 3.6 = 5 m/s
Time (t) = 40s
Let plug in the formula
Force = 3000(5 – 20) / 40
Force = 3000(-15) / 40
Force=-45,000/40
Force = -1125 N
Therefore the average force exerted on the ball during the serve is 57 N the resistive force is -1125 N.
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Solve:
-5/2 a + 5 = 25
a =
Answer:
A = -8
You're welcome! :)
Answer: a = -8
Step-by-step explanation:
Combine multiplied terms into a single fraction
then find a Find common denominator for the fraction
then Combine fractions with common denominator,
Multiply the numbers, Multiply all terms by the same value to eliminate fraction denominators, Cancel multiplied terms that are in the denominator,
Multiply the numbers making your equation like this -5a+10=50
subtract 10 by both sides and then you will need to simplify making it
-5a + 40 then you divide them both by the same factor which is -5 then you simplify again making the answer to your question -8
__________ notation encodes a real number as a mantissa multiplied by a power (exponent) of 2.
Answer:
Step-by-step explanation:
floating point
What is the solution to this system of equations x-2 y=15 2x+4y=-18
Answer:
(3, - 6 )
Step-by-step explanation:
x - 2y = 15 ( add 2y to both sides )
x = 2y + 15 → (1)
2x + 4y = - 18 → (2)
substitute x = 2y + 15 into (2)
2(2y + 15) + 4y = - 18 ← distribute parenthesis and simplify left side
4y + 30 + 4y = - 18
8y + 30 = - 18 ( subtract 30 from both sides )
8y = - 48 ( divide both sides by 8 )
y = - 6
substitute y = - 6 into (1)
x = 2(- 6) + 15 = - 12 + 15 = 3
solution is (3, - 6 )
Answer:
x is 3 y is -6 I really hope this helps
I'J'is a translation of IJ Write the translation rule.
Answer:
(x+6), (y+9)
Step-by-step explanation:
The x coordinate of J goes from -7 to -1, so it is translated x+6
The y coordinate of j goes from -8 to 1, which is a difference of 9, so it's translated y + 9
How many sequences of 0s and 1s of length 19 are there that begin with a 0, end with a 0, contain no two consecutive 0s, and contain no three consecutive 1s
65 sequences.
Lets solve the problem,
The last term is 0.
To form the first 18 terms, we must combine the following two sequences:
0-1 and 0-1-1
Any combination of these two sequences will yield a valid case in which no two 0's and no three 1's are adjacent
So we will combine identical 2-term sequences with identical 3-term sequences to yield a total of 18 terms, we get:
2x + 3y = 18
Case 1: x=9 and y=0
Number of ways to arrange 9 identical 2-term sequences = 1
Case 2: x=6 and y=2
Number of ways to arrange 6 identical 2-term sequences and 2 identical 3-term sequences =8!6!2!=28=8!6!2!=28
Case 3: x=3 and y=4
Number of ways to arrange 3 identical 2-term sequences and 4 identical 3-term sequences =7!3!4!=35=7!3!4!=35
Case 4: x=0 and y=6
Number of ways to arrange 6 identical 3-term sequences = 1
Total ways = Case 1 + Case 2 + Case 3 + Case 4 = 1 + 28 + 35 + 1 = 65
Hence the number of sequences are 65.
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