Answer:
0.376
Explanation:
Probability of male student [ P (MS) ] = 47% = 0.47
Probability male students majoring in Engineering [ P (E / MS) ] = 80% = 0.80
Probability that a student chosen is male & majoring in engineering
= P ( E ∩ MS )
As per conditional probability rule :
P (E / MS) = P ( E ∩ MS )
P ( MS )
So, P ( E ∩ MS ) = P (E / MS) x P ( MS )
= 0.80 x 0.47
= 0.376
Answer:
0.376
Explanation:
Percentage of male students in the class ; 47% = 47/100 = 0.47
percentage of male students majoring in engineering= 80% = 80/100 = 0.8
probability of randomly choosing a male majoring in engineering in the class;
P= 0.47 x 0.8 = 0.376
During World War I, freedom of speech was limited through laws that stopped criticism of the government. In your opinion, why do you think the Texas government would create these laws?
Answer:
The Supreme Court decided a series of cases in 1919 that helped to define the limitations of free speech. Congress passed the Espionage Act of 1917, shortly after the United States entered into World War I. The law prohibited interference in military operations or recruitment.
Explanation:
simply because during war time there are exceptions were they can bend your right to freedom of speech its all to keep us as american citizens safe.
Answer:
Answers may vary. Students will need to critically think through the reasons for the legislature’s decisions. Possible student responses include explaining how unity was needed to help win the war, or how criticism would weaken America’s desire to do what it took to triumph.
Explanation:
It is the possible answer.
In triangle ABC, the measure of ∠B is 90°, BC=16, and AC=20. Triangle DEF is similar to triangle ABC, where vertices D, E, and F correspond to vertices A, B, and C, respectively, and each side of triangle DEF is 1/3 the length of the corresponding side of triangle ABC. What is the value of sinF?
Answer:
sinF = 3 /5 or 0.6.
Explanation:
Triangle ABC is a right triangle with its right angle at B. Therefore, AC is the hypotenuse of right triangle ABC, and AB and BC are the legs of right triangle ABC. According to the Pythagorean theorem,
AB=√202−162=√400−256=√144=12
Since triangle DEF is similar to triangle ABC, with vertex F corresponding to vertex C, the measure of angle∠F equals the measure of angle∠C. Therefore, sinF=sinC. From the side lengths of triangle ABC,
sinF = oppositeside /hypotenuse = AB /AC = 12/ 20 = 3 /5
A transcript must bear an) ___ to be considered official,
A medical immunization record
B. signature or school stamp
C. ACT score
D. SAT score
A construction crew was made up of 88 men and the rest women. If 40% of the crew were men, how many people were in the crew?
Answer:
There were total 220 people in crew
Explanation:
This problem is related to simple pie chart distribution, which is also called linear distribution.
We are given that 40% of crew are of men, it means that the percentage of women in the crew would be = 100 - 40 = 60
Using simple pie chart distribution formula;
Number of men in crew = Men percentage/Total percentage x Total people in crew
Putting the values we get;
88 = 40/100 x Total men
Total men = 220
The Earth has four main seasons: winter, spring, summer, and fall. Which of the following is a cause of seasonal changes on Earth?
Answer:
The cause of it is the tilt of the earth on its axis but i don't know if you have certain options or anything like that.
Explanation:
Select the letter of the correct answer. What cause and effect relationship is described in this Article? Press enter to interact with the item, and press tab button or down arrow until reaching the Submit button once the item is selected ABecause cumbia allows for plenty of regional and stylistic variations, it now uses nontraditional instruments such as the clarinet, bongo drums, horns, and piano. BSince native South Americans wanted to add visual appeal to cumbia, they introduced the swirling skirts often worn by cumbia dancers. CBecause cumbia is a mix of traditions from three continents—Africa, South America, and Europe—, it's regarded by many as the music that unifies Latin America. DSince cumbia's distinctive rhythm is a musical element that started in Africa, all of the instruments used in traditional cumbia music are African.
Answer:
Explanation:
Because cumbia allows for plenty of regional and stylistic differences, it now uses nontraditional instruments such as the clarinet, horns, and piano.
Musical genres like cumbia and salsa represent a fusion of African, European, and Latin American influences, resulting in regional and stylistic variations and a unifying musical experience across Latin America.
Explanation:The cause and effect relationship described in the article indicates that musical genres such as cumbia, salsa, and other forms of music are deeply influenced by a hybridization of African, European, and sometimes Native American traditions. This transcultural fusion is evident in the fact that cumbia, which originated in Latin America with influences from Africa, South America, and Europe, is considered unifying music for Latin America. The introduction of nontraditional instruments to cumbia, such as the clarinet, bongo drums, horns, and piano, is a result of its allowance for regional and stylistic variations. Furthermore, salsa music, with roots in the Caribbean and Cuba, has been shaped by African and Spanish cultural influences and has popularized through Latin America thanks to its strong percussion component and, sometimes, the inclusion of brass and stringed instruments.
The salesman agrees to a purchase price of $16,000. Henry has $3,000.00 saved and will get $2,000.00 as a trade-in for his current vehicle. Henry has great credit and will finance at a 3.25% interest rate over 60 months. Using this calculator, what will Henry's monthly payment on this loan be?
Answer:
$198.88
Explanation:
The total value of vehicle that the salesman has offered and agreed = $16,000
The down payment that Henry can make at the time of purchase = $3,000
Now the trade in amount, which Henry will get by trading his old vehicle = $ 2,000
The amount that needs to be paid or converted to loan would be
= 16000 – 3000 – 2000
= 11000
Henry has to take a loan of $11000 from the Bank who is offering a loan at interest rate of 3.25%.
Interest on loan for first year be = 3.25% x 11000 = 327
Interest on loan for 2nd year be = 3.25% x 8940 = 259
Interest on loan for 3rd year be = 3.25% x 6812 = 189
Interest on loan for 4th year be = 3.25% x 4615 = 116
Interest on loan for Last year be = 3.25% x 2345 = 41
Summing them up gives total value of 932.
Now monthly payement = (11932 / 60) = 198.8
What are three ways orchids attract insects to spread their flowers’ pollen?
8−i / 3−2i
If the expression above is rewritten in the form a+bi, where a and b are real numbers, what is the value of a? (Note: i=√−1)
Answer:
A = 2
Explanation:
To rewrite
8−i / 3−2i
in the standard form a+bi, you need to multiply the numerator and denominator of
8−i / 3−2i
by the conjugate, 3+2i. This equals
( 8−i 3−2i )( 3+2i 3+2i )= 24+16i−3+(−i)(2i) (32)−(2i)2
Since i2=−1, this last fraction can be reduced simplified to
24+16i−3i+2 9−(−4) = 26+13i 13
which simplifies further to 2+i. Therefore, when
8−i / 3−2i
is rewritten in the standard form a + bi, the value of a is 2.
Answer:
2
Explanation:
We have the expression [tex]\frac{8-i}{3-2i}[/tex]. In order to simplify this, we need to multiply the bottom and top by the denominator's conjugate. The conjugate of a complex number a + bi is just a - bi. Here, the conjugate of 3 - 2i is 3 + 2i. So:
[tex]\frac{8-i}{3-2i}*\frac{3+2i}{3+2i} =\frac{24-3i+16i+2}{9+4} =\frac{26+13i}{13} =2+i[/tex]
a is the real part of a complex number, so here, a = 2.
Hope this helps!
For a polynomial p(x), the value of p(3) is −2. Which of the following must be true about p(x)?
A) x−5 is a factor of p(x).
B) x−2 is a factor of p(x).
C) x+2 is a factor of p(x).
D) The remainder when p(x) is divided by x−3 is −2.
Answer:
D.) The remainder when p(x) is divided by x−3 is −2.
Explanation:
If the polynomial p(x) is divided by a polynomial of the form x+k (which accounts for all of the possible answer choices in this question), the result can be written as
p(x) /x+k = q(x) + r /x+k
where q(x) is a polynomial and r is the remainder. Since x+k is a degree-1 polynomial (meaning it only includes x1 and no higher exponents), the remainder is a real number.
Therefore, p(x) can be rewritten as p(x)=(x+k)q(x)+r, where r is a real number.
The question states that p(3)=−2, so it must be true that
−2=p(3)=(3+k)q(3)+r
Now we can plug in all the possible answers. If the answer is A, B, or C, r will be 0, while if the answer is D, r will be −2.
A. −2=p(3)=(3+(−5))q(3)+0
−2=(3−5)q(3)
−2=(−2)q(3)
This could be true, but only if q(3) = 1
B. −2=p(3)=(3+(−2))q(3)+0
−2=(3−2)q(3)
−2=(−1)q(3)
This could be true, but only if q(3) = 2
C. −2=p(3)=(3+2)q(3)+0
−2=(5)q(3)
This could be true, but only if q(3) = −2 /5
D. −2=p(3)=(3+(−3))q(3)+(−2)
−2=(3−3)q(3)+(−2)
−2=(0)q(3)+(−2)
This will always be true no matter what q(3) is.
Of the answer choices, the only one that must be true about p(x) is D, that the remainder when p(x) is divided by x−3 is -2.
If the polynomial p(x) is divided by a polynomial of the form x+k (which accounts for all of the possible answer choices in this question), the result can be written as
p(x)
x+k
=q(x)+
r
x+k
where q(x) is a polynomial and r is the remainder. Since x+k is a degree-1 polynomial (meaning it only includes x1 and no higher exponents), the remainder is a real number.
Therefore, p(x) can be rewritten as p(x)=(x+k)q(x)+r, where r is a real number.
The question states that p(3)=−2, so it must be true that
−2=p(3)=(3+k)q(3)+r
Now we can plug in all the possible answers. If the answer is A, B, or C, r will be 0, while if the answer is D, r will be −2.
A. −2=p(3)=(3+(−5))q(3)+0
−2=(3−5)q(3)
−2=(−2)q(3)
This could be true, but only if q(3)=1
B. −2=p(3)=(3+(−2))q(3)+0
−2=(3−2)q(3)
−2=(−1)q(3)
This could be true, but only if q(3)=2
C. −2=p(3)=(3+2)q(3)+0
−2=(5)q(3)
This could be true, but only if q(3)=
−2
5
D. −2=p(3)=(3+(−3))q(3)+(−2)
−2=(3−3)q(3)+(−2)
−2=(0)q(3)+(−2)
This will always be true no matter what q(3) is.
Of the answer choices, the only one that must be true about p(x) is D, that the remainder when p(x) is divided by x−3 is -2.
The final answer is D.
Which sentence describes a liquid ? Particles are closely packed together and vibrate back and forth. Particles are in contact with each other and do not move at all. Particles are in contact with each other and are able to slip past one another Particles are not in contact with each other and are moving every quic
Answer:
Particles are closely packed together and vibrate back and forth
Explanation:
I pretty sure that is a liquid. from what i learned.