Answer:
by simply multiplying these 2 dimensions.
9.1 ft²
Step-by-step explanation:
2 4/5 × 3 1/4 = (14/5) × (13/4) = (14×13) / (5×4) =
= (7×13) / (5×2) = 91/10 = 9.1 ft²
Graph the linear function y= -x + 3.
Encuentra el resultado de la ecuación mediante la formula general
Step-by-step explanation:
de hecho, la respuesta está en la imagen de arriba
Prove the formula that:
((∃x)(F(x)∧S(x))→(∀y)(M(y)→W(y)))∧((∃y)(M(y)∧¬W(y)))
⇒(∀x)(F(x)→¬S(x))
Step-by-step explanation:
Given: [∀x(L(x) → A(x))] →
[∀x(L(x) ∧ ∃y(L(y) ∧ H(x, y)) → ∃y(A(y) ∧ H(x, y)))]
To prove, we shall follow a proof by contradiction. We shall include the negation of the conclusion for
arguments. Since with just premise, deriving the conclusion is not possible, we have chosen this proof
technique.
Consider ∀x(L(x) → A(x)) ∧ ¬[∀x(L(x) ∧ ∃y(L(y) ∧ H(x, y)) → ∃y(A(y) ∧ H(x, y)))]
We need to show that the above expression is unsatisfiable (False).
¬[∀x(L(x) ∧ ∃y(L(y) ∧ H(x, y)) → ∃y(A(y) ∧ H(x, y)))]
∃x¬((L(x) ∧ ∃y(L(y) ∧ H(x, y))) → ∃y(A(y) ∧ H(x, y)))
∃x((L(x) ∧ ∃y(L(y) ∧ H(x, y))) ∧ ¬(∃y(A(y) ∧ H(x, y))))
E.I with respect to x,
(L(a) ∧ ∃y(L(y) ∧ H(a, y))) ∧ ¬(∃y(A(y) ∧ H(a, y))), for some a
(L(a) ∧ ∃y(L(y) ∧ H(a, y))) ∧ (∀y(¬A(y) ∧ ¬H(a, y)))
E.I with respect to y,
(L(a) ∧ (L(b) ∧ H(a, b))) ∧ (∀y(¬A(y) ∧ ¬H(a, y))), for some b
U.I with respect to y,
(L(a) ∧ (L(b) ∧ H(a, b)) ∧ (¬A(b) ∧ ¬H(a, b))), for any b
Since P ∧ Q is P, drop L(a) from the above expression.
(L(b) ∧ H(a, b)) ∧ (¬A(b) ∧ ¬H(a, b))), for any b
Apply distribution
(L(b) ∧ H(a, b) ∧ ¬A(b)) ∨ (L(b) ∧ H(a, b) ∧ ¬H(a, b))
Note: P ∧ ¬P is false. P ∧ f alse is P. Therefore, the above expression is simplified to
(L(b) ∧ H(a, b) ∧ ¬A(b))
U.I of ∀x(L(x) → A(x)) gives L(b) → A(b). The contrapositive of this is ¬A(b) → ¬L(b). Replace
¬A(b) in the above expression with ¬L(b). Thus, we get,
(L(b) ∧ H(a, b) ∧ ¬L(b)), this is again false.
This shows that our assumption that the conclusion is false is wrong. Therefore, the conclusion follows
from the premise.
15
NO LINKS OR ELSE YOU'LL BE REPORTED! Only answer if you're very good at Math.No guessing please.
A company manufactures video games with a current defect rate of 0.95%.To make sure as few defective video games are delivered as possible,they are all tested before delivery.The test is 98% accurate at determining if a video game is defective.If 100,000 products are manufactured and delivered in a month, approximately how many defective products are expected to be delivered?
A: 950
B: 2,000
C: 20
D: 50
====================================================
Work Shown:
0.95% = (0.95)/100 = 0.0095
0.95% of 100,000 = 0.0095*(100,000) = 950
We expect about 950 games will be defective.
Answer:
A: 950
Step-by-step explanation:
please help me !! im really confused abt this whole unitttt
Answer:
Step-by-step explanation:
angle b+45 degree=110 degree (because they are vertically opposite angle and vertically opposite angle are always equal)
angle b=110-45
angle b=65 degree
angle a + angle b + 45 degree = 180 degree (being linear pair)
angle a + 65 + 45 =180
angle a + 110=180
angle a=180-110
angle a=70 degree
angle c + 20 degree=angle a (because they are vertically opposite angle and vertically opposite angle are always equal)
angle c + 20 = 70
angle c = 70 - 20
angle c =50 degree
Note: A linear pair is a pair of adjacent angles formed when two lines intersect.
Hope this helps u !!
Which state ment is true regarding the graphed function
F(4)= g(4)
F(4)= g(-2)
F(2)= g(-2)
F(-2)= g(-2)
Answer:
F(-2)= g(-2)
Step-by-step explanation:
F(-2)= g(-2), both function have the same points of intersect.
Determine whether the triangles are similar. If so, write a similarity
statement.
Answer:
yes that are similar
Step-by-step explanation:
because the angles are both 50 degrees
similarity statement:
triangle DEF= triangle JEH
hope that helps bby<3
Help me out I’m down bad for math
Answer:
x value is 3
please hear is your answer
What is the quotient of ? 2^4/2^-4
Answer:
[tex] \frac{ {2}^{4} }{ {2}^{ - 4} } \\ = {2}^{4} . {2}^{4} \\ = {2}^{8} \\ = 256[/tex]
Answer:
2⁸
Step-by-step explanation:
2⁴ ÷ 2⁻⁴ = 2⁸
if the bases are the same and you're dividing then you subtract the exponents
Put the quadratic into vertex form and state the coordinates of the vertex.
y = x2 – 10x + 9
What is the vertex form?
Answer: y=(x-5)^2-16
Answer:
Step-by-step explanation:
First, we need to use the formula -b/2a.
We get 10/2 which equals 5.
Now we have our x-coordinate. Now we need to find out y-coordinate. We have to plug 5 back in as x to get the y-variable.
5^2 - 10(5) + 9
25 - 50 + 9
34 - 50
-16
Now that we have our x and y coordinates, we can make our vertex.
(5,-16)
Finally, we need to put this into vertex form. We see that the vertex form is y = a(x-h)^2 + k. We plug the x variable into the h value and the y variable into the k value. We don't need the a variable because we are only looking for the vertex and the vertex form.
y = (x-5)^2 - 16
Walah! There is our answer!
Write an equation that matches the situation: Mike has 6 turkey subs and Mary has g turkey subs. There are 13 turkey subs total. *
Answer:
6 + g = 13
Step-by-step explanation:
hope this helps have a great day!
Every day, Luann walks to the bus stop and the amount of time she will have to wait for the bus is between 0 and 12 minutes, with all times being equally likely (i.e., a uniform distribution). This means that the mean wait time is 6 minutes, with a variance of 12 minutes. What is the 25th percentile of her total wait time over the course of 60 days?
a. 341.902.
b. 349.661.
c. 363.372.
d. 378,099.
Answer:
a. 341.902.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
n instances of a normal variable:
For n instances of a normal variable, the mean is [tex]n\mu[/tex] and the standard deviation is [tex]s = \sigma\sqrt{n}[/tex]
60 days, for each day, mean 6, variance of 12.
So
[tex]\mu = 60*6 = 360[/tex]
[tex]s = \sqrt{12}\sqrt{60} = 26.8328[/tex]
What is the 25th percentile of her total wait time over the course of 60 days?
X when Z has a p-value of 0.25, so X when Z = -0.675.
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]-0.675 = \frac{X - 360}{26.8328}[/tex]
[tex]X - 360 = -0.675*26.8328[/tex]
[tex]X = 341.902[/tex]
Thus, the correct answer is given by option A.
How many cards does each friend have? See image below
Evaluate the expression:
3x + 2y when X=10 and y=4
Answer:
38
Step-by-step explanation:
3x + 2y when X=10 and y=4
3(10) + 2(4)
30 + 8
38
Enlarge the triangle by scale factor 3
Answer:
The triangle will triple in size.
What is the distance of 39 from zero? Hellpppppppp
Answer: 39
Step-by-step explanation: the distance is always positive, 39 + 0 = 39
Answer:
39
Step-by-step explanation:
39 is 39 numbers away from zero. it really doesn't get simpler.
The probability distribution for the number of defects in a shipment of alarm clocks, based on past data, is given below. Find the expected number of defects in a shipment of alarm clocks.Number of defects, n: 0, 1, 2, 3, 4Probability of n defects: 0.82, 0.11, 0.04, 0.02, 0.01
Answer:
0.29
Step-by-step explanation:
Given :
n : ___ 0 _____ 1 ____ 2 ____ 3 ____ 4
P(n) : 0.82___ 0.11 ___0.04 _0.02 ___0.01
The expected number of defect in a shipment can be obtained using the expected value formula :
Expected value, E(X) = Σx*p(x)
Σx*p(x) = (0*0.82) + (1*0.11) + (2*0.04) + (3*0.02) + (4*0.01)
E(X) = 0.29
Hence, the expected number of defect in shipment is 0.29
A boat heading out to sea starts out at
Point A, at a horizontal distance of 796 feet
from a lighthouse/the shore. From that
point, the boat's crew measures the angle
of elevation to the lighthouse's beacon-light
from that point to be 10°. At some later
time, the crew measures the angle of
elevation from point B to be 4º. Find the
distance from point A to point B. Round
your answer to the nearest foot if
necessary.
The distance from point A to point B is about 1211 feet.
What is trigonometric ratio?Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.
Let h represent the height of the light house. At point A:
tan(10) = h / 796
h = 140.36 feet
At point B, let d represent the horizontal distance from B to light house:
tan(4) = 140.36/d
d = 2007 feet
The distance from A to B = 2007 - 796 = 1211 feet
The distance from point A to point B is about 1211 feet.
Find out more on trigonometric ratio at: https://brainly.com/question/24349828
What is the measure of angle HBE?
Answer:
25 degrees
Step-by-step explanation:
Angles on a line add up to 180
180-50=130
angles in a triangle add up to 180
An isosceles triangle has two equal angles
180-130=50
50/2=25
25 degrees
Lauren woke up one morning and saw frost on the windows. It was -2°C outside. Later in the day, the frost melted. At 3 p.m. it was 9°C outside. Which expression represents the difference between the two temperatures?
Answer:
9-(-2) or 9+2
Step-by-step explanation:
To find the difference of something, subtract one value from the other. It become addition because two negatives make a positive
In circle N with m
See diagram below
Answer:
[tex]113.10[/tex]
Step-by-step explanation:
The area of a sector with measure [tex]\theta[/tex] and radius [tex]r[/tex] is given by [tex]A_{sec}=r^2\pi\cdot \frac{\theta}{360^{\circ}}[/tex].
What we're given:
[tex]r[/tex] of 12[tex]\theta[/tex] of [tex]90^{\circ}[/tex]Substituting given values, we get:
[tex]A_{sec}=12^2\pi\cdot \frac{90}{360},\\\\A_{sec}=144\pi\cdot \frac{1}{4},\\\\A_{sec}\approx \boxed{113.10}[/tex]
WHATS THE VOLUME OF THE TRIANGULAR PRISM???
Answer:
124.8 mi³
Step-by-step explanation:
volume is base area times height.
the base area is a triangle
baseline × triangle height / 2
At = 13×3.2/2
the prism height is 6
so, total volume is
13×3.2×6/2 = 124.8 mi³
Answer: 124.8 mi^3
Step-by-step explanation:
0.5*13*3.2=20.8
20.8*6=124.8
If the following data were linearized using logarithms, what would be the
equation of the regression line? Round the slope and y-intercept of the
regression line to three decimal places.
х
y
1
1
13
N
55
3
349
4
2407
5 16,813
Answer:
the equation of the regression line will be 1
Help meeeee and plz get it right
Consider the expression 25 – 10 ÷ 2 + 3.
Part A
Which shows a way to rewrite the expression using parentheses so that the expression equals 23?
Select all that apply.
A. (25 – 10) ÷ 2 + 3 = 23
B. 25 – 10 ÷ (2 + 3) = 23
C. (25 – 10) ÷ (2 + 3) = 23
D. 25 – (10 ÷ 2) + 3 = 23
Part B
Which shows a way to rewrite the expression using parentheses so that the expression equals 3?
A. (25 – 10) ÷ 2 + 3 = 3
B. 25 – 10 ÷ (2 + 3) = 3
C. (25 – 10) ÷ (2 + 3) = 3
D. 25 – (10 ÷ 2) + 3 = 3
Given:
The expression is:
[tex]25-10\div 2+3[/tex]
To find:
Part A: The expression using parentheses so that the expression equals 23.
Part B: The expression using parentheses so that the expression equals 3.
Solution:
Part A:
In option A,
[tex](25-10)\div 2+3=15\div 2+3[/tex]
[tex](25-10)\div 2+3=7.5+3[/tex] [Using BODMAS]
[tex](25-10)\div 2+3=10.5[/tex]
In option B,
[tex]25-10\div (2+3)=25-10\div 5[/tex]
[tex]25-10\div (2+3)=25-2[/tex] [Using BODMAS]
[tex]25-10\div (2+3)=23[/tex]
In option C,
[tex](25-10)\div (2+3)=15\div 5[/tex]
[tex](25-10)\div (2+3)=3[/tex]
In option D,
[tex]25-(10\div 2)+3=25-5+3[/tex]
[tex]25-(10\div 2)+3=28-5[/tex] [Using BODMAS]
[tex]25-(10\div 2)+3=23[/tex]
After the calculation, we have [tex]25-10\div (2+3)=23[/tex] and [tex]25-(10\div 2)+3=23[/tex].
Therefore, the correct options are B and D.
Part B: From part A, it is clear that
[tex](25-10)\div (2+3)=3[/tex]
Therefore, the correct option is C.
Which value is an input of the function?
-14
O-2
o
ОО
4.
According to a bridal magazine, the average cost of a wedding reception for an American wedding is $8213. Assume that the average is based on a random sample of 450 weddings and that the standard deviation is $2185.a. What is the point estimate of the corresponding population mean
Answer:
Point estimate of the corresponding population mean = $8,213
Step-by-step explanation:
Given:
Average cost of a wedding reception (x) = $8,213
Total number of sample (n) = 450
Standard deviation = $2185
Find:
Point estimate of the corresponding population mean
Computation:
Average cost of a wedding reception (x) = Point estimate of the corresponding population mean
Point estimate of the corresponding population mean = $8,213
Find the area of the triangle.
35 cm
24 cm
Answer:
A =420 cm^2
Step-by-step explanation:
The area of a triangle is given by
A = 1/2 bh where b is the length of the base and h is the height
A = 1/2 ( 24) * 35
A =420 cm^2
Answer:
The area of triangle is 420 cm ².
Step-by-step explanation:
Given : -Base of triangle = 24 cmHeight of triangle = 35 cmTo Find :-Area of triangleFormula Used :-Area of triangle = 1/2 × base × height
Solution :-Using Formula
Area of triangle = 1/2 × base × height
substitute the values into the formula
Area of triangle = 1/2 × 24 cm × 35 cm
multiply,
Area of triangle = 1/2 × 840 cm ²
Divide, we get
Area of triangle = 420 cm ²
Therefore, The area of triangle is 420cm².
Pleaseeee helpppp hdhdbddh
Answer:
1. 1
2. 1/3
Explanation:
1. 6(4 - 5) ÷ 2(-3)
= 6(4−5) ÷ (2)(-3)
= 6(-1) ÷ (2)(-3)
= -6 ÷ (2)(-3)
= -6 ÷ -6
final answer = 1
2. 1/4 ÷ 3/4
1/4 ÷ 3/4 ---> 1/4 ÷ 4/3 (reciprocal method)
(change the operation to multiplication)
1/4 × 4/3 (multiply)
1/4 × 4/3 = 4/12 (we aren't done yet.. we still need to simplify/reduce 4/12)
4/12 ----> 2/6 ----> 1/3. (final answer)
EI NHS de Evergreen está diseñando un nuevo jardín.
El jardín será un rectángulo. Sea x el ancho del jardín.
La longitud del jardín será el doble del ancho más 4 pies.
Calcula el área y el perímetro del jardín.
¿Cuál es la expresión de la longitud?
Answer:
Area= 2(x^2 + 4)
Perímetro=6x + 8
Step-by-step explanation:
Ancho = x
Longitud = 2x + 4
Area= ancho × longitud
Area= x × 2x + 4
Area= 2x^2 + 4
Area= 2(x^2 + 4)
Perímetro= ancho+ancho+longitud+longitud
Perímetro=2ancho + 2longitud
Perímetro=2(x) + 2(2x+4)
Perímetro=2x + 4x + 8
Perímetro=6x + 8
