P16. Write a two-column proof to show that if PQ = RS, PQ = 5x + 9, and RS = x - 31, then x = -10.

Q: If X~N(μ , 5), Find μ if P(X>12) = 0.02118

A: We have given that.    X~N( μ , ?^2 )    μ = ?    , ? = 2.23607   Z-score =( x - μ )/?

Q: Create a proof for the following argument. | 0 כK)כG .1 2 Cɔ D v B) 3. GĐC 4. BɔC 5. D 6. KvB 7.

A: We prove the given argument by using rules of inference.

Q: Sketch the region corresponding to the statement P( – 1.5 < z < 2.6) Shade: Left of a value Click…

A: The standard normal variable z follows normal distribution with mean 0 and standard deviation 1.

Q: For what values of h, b is in Span {v1,V2, V3} where 5 -4|, v3: %= 4 ,V2= 7

A: First we transfer this problem into a matrix then apply row reduction.

Q: 4R Q13:- If R = RR3 R+R2 Show that we we (R +R

A:

Q: Suppose (1) - ". "Srw)dema/r=5v + C, tor constants A and C. what is the value of A? write the answer…

A:

Q: n P(x) = 4x +11x + 16x - 9, which of the following is true? As r→ P(r) →-0 B As x → +o, P(x) → +

A: Solution of the problem as follows

Q: if v= 5i-6j and w= xi +8j, Find all numbers x for which ||v-w||=4.

A: Given, v=5 i-6 j and  w=x i+8 j

Q: If po = 19.53, P1 = 19.63, ơm = 5, and mcritrical = 19.58, calculate ß for H1: µ1 – Po > 0. %3D %3D…

A:

Q: So r dr do

A: Follow the procedure given below.

Q: Find the exact values of x and r. (X, r) 12, 30V3 x ) ) 3D 30° 12

A: From the given figure, it is observed that the opposite side is 12, adjacent side is x and the…

Q: If AJKL ANMP, find the value of x. Px+5 N 49 M 7. 9x + 1 14 61

A: We are given that the triangle JKL and NMP are  similar. So,                JLNP=JKNM⇒9x+1x+5=4914

Q: |a. 히 + 1ax 히 = |피이미 for allu, v in R®. True False

A: u.v = |u||v|cosθ  (u.v)2 =|u|2|v|2cos2θ u×v = |u|v|sinθ n^ (u×v)2= |u2||v2|sin2θ (u.v)2+…

Q: . Given that v = 1/2 (7²+h) V and the error in V is at the most 0.4%, find the error allowable in r…

A: Given that, V=12r2h+h. The error in V is at most 0.4%. Find the error allowable in r and h when…

Q: R 19. If mZ4 = (3x 7)°, and m25 = (9x – 43)", find m2UPS. S. 5 P 3 O 18 O 61 O 90 O 151

A:

Q: A piece of rectangular sheet metal is 24 inches wide. It is to be made into a drain gutter by…

A: We have to find the value of x that gives greatest capacity.

Q: Which of the following pieces GT = IR GI || TR

A: Choose the correct option:

Q: If P(A) = 0-4 , P(B) = 0.7 and P (at leasr one of A and B) = 0.8, find P(only one of A and B). %3D

A: Given that  P(A)=0.4 , P(B)=0.7 P(at least one of A and B)=0.8=P(A U B)  Find P(only one of A and B)

Q: Q3- Find the numerical value of xdz, ifc = c, + C2 + C3.defined in the given figure. (2,2) C2 (1,1)…

A: Integrate in parametric form.

Q: Find C, (xy) if C(x.у) 2x? + 5ху - 9у? + 8х-Зу-9. Cx(x.y) =D

A:

Q: O Given: m21 = 2x + 10 –+ m22 = 2y + 10 2 m23 = x + 2y Find: m21, mL2, and mz3

A:

Q: If P(A) =0.55 and P(A and B) =0.22. A and B are independent, find P(B)=?

A: It is given that  P(A) =0.55  P(A and B) =0.22 Given, Event A and B are independent then, P(A and B)…

Q: What value of x would prove that p || q? A (5x+14) 19x-28) C

A: we have to find the value of X from the given figure

Q: If X:N(60,42), find Peo, find pa30

A:

Q: What additional information would be needed in order to prove A CAT = A DOG by Side-Side-Side (SSS)?…

A: Given that △CAT≅△DOG by side-side-side(SSS) write down the additional information to be needed to…

Q: find Lenjth f aueetors =く3,-S,l B=くW5> ジ,37 ond く2>

A: Given:- a = &lt;3, -5, 10)&gt; b = &lt;1, 5&gt; v = &lt;2, 5&gt; w = &lt;2, 1&gt;

Q: Let f (x, y, z) = -12x? – y + 5z?. Calculate Vf (0, 5, 6). %3D (Write your solution using the form…

A: Solution

Q: Given that S(æ) = 7x2 - 5x - 2 and T(x) = x+ 5, what is (S o T)(-2)? %3D O 46 O 23 O 41 O 61

A:

Q: |In T 4 In r-5 d.r. lIn² Evaluate

A: topic - definite integration

Q: Which statement is justified by the transitive property of equality? F. (x + y) + z =x+(p +2) G. If…

A:

Q: Given: m +n = p P= 3r Name: Date: Prove: 3r = 2n

A: We have to prove that 3r =2n Using given information in question

Q: If t<0 andt2-4=0what is the value of 3t+5?

A:

Q: Given that ADEF=AJKL, DE=24, KL=18, JL=20, and JK=2x+6. Find the value

A: It is given that, ∆DEF≅∆JKL;  DE=24; KL=18; JL=20, and JK=2x+6

Q: -p^¬q>p→¬pVq^r is equivalent to be written as which of follows

A: Given that ¬p∧¬q↔p→¬p∨q∧r We can write it as ¬p∧¬q↔p→¬p∨(q∧r)…

Q: = x+6, and ED = x, then ED

A:

Q: For u(x) = 4x2 - x + 5 and v(x) = 2x + 4, which of the following is correct? a) (u – v)(2) = 11 b)…

A:

Q: a4)Giveni mel=x,mca=4y ,mL3=ay ,met=2x-yšto. Find: XN,and m25 (minus) 3\4

A:

Q: 10) Find x if m2CQR = x + 29, m/PQC = x + 102, and m_POR = 127°. R C

A:

Q: Let p= 29 and q = 31, and let e = = 101 %3D (a) Find n = pq and o(n). (b) Find d.

A: Since you have posted a question with multiple sub-parts, we will solve first few sub-parts for you.…

Q: if p=$5000, i=0.0005, n=36, find a

A: Given: P=$5000i=0.0005n=36

Q: If the numberr of elements h=50 ৭০d । (6) = ५ and 1(5)3D41(h), then the numbor of elements -

A: Answer can be given using the simple concept of  probability.

Q: Need help with number 5  a b c

A:

Q: If f(s, t) = 2scost + 3t sins, find &.

A:

Q: R 13. If PQ= 15, and SR = 9, find ST and PS. 30° T

A:

Q: If x = aPba+r, y = a®b* + P, z = a'bP +q, show that xa -r.y-P.2P-9 =1.

A: x=apbq+r,  y=aqbr+p, z=arbp+q

Q: A) > 0 and P(B) > 0, then: are mutually exclusive, they cann

A: Mutually exclusive event  we can define it as It is impossible for two occurrences that are mutually…

Q: Four students are working in a group and are asked to find the length of BC. Which two students set…

A:

Q: 4) Find x if m/DEJ = x + 51, m¿DEF = 160°, and mJEF x+ 131.

A: From figure m∠DEF=m∠DEJ+m∠JEF160=x+51+x+1312x=160-182=-22x=-11°

Q: Q3) Assume A = [4 6 3 11 7 2 [32] and B = 1 14 5 show that (AB)' = B' A' 31

A:

Q: Q.1. (a) Show that 1 -a? 14P Dreve thot

A:

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.