Answer:
average is equal to sum of x1 and x2
x1=||/2 and x2=2||
so,
average=||/2 + 2|| the whole thing divide by2
||= 22/7
then,
22/7÷2=22/14
2×22/7=44/7
(22/7+44/7)/2
66/7÷2
66/14=33/7
therefore average is 33/7
Find the equation of the line that passes through (3,1) and is parallel to
y
=
2
x
+
1
.
Leave your answer in the form
y
=
m
x
+
c
Answer:
b
Step-by-step explanation:
a bag contains 2 white marbles and 7 purple marbles. 2 marbles are drawn at random.
Answer:
7/36
Step-by-step explanation:
Complete
A bag contains 2 white marbles and 7 purple marbles. Two marbles are drawn at random. One marble is drawn and not replaced. Then a second marble is drawn. What is the probability of selecting a purple marble and then a white marble?
Total outcome = 2 + 7 = 9marbles
Pr(picking purple) = number of purple/total outcome
Pr(picking red) = 7/9
Since the first marble is not replaced, the total outcome becomes 8 marbles
Pr(picking white) = 2/8 = 1/4
Probability of selecting a purple marble and then a white marble = 7/9 * 1/4 = 7/36
What statement best supports the box plots
Answer: kko
Step-by-step explanation iook
What type of graph would have the title, "Monthly Company Profit for the Year?"
a. bar graph
b. line plot
c. line graph
d. pictograph
Answer:
b
Step-by-step explanation:
Answer:
a i think a
Step-by-step explanation:
What type of function is present? y=-2x+1
O Linear Inequality
O Exponential
O Linear Equation
Cubic
Step-by-step explanation:
i think it's linear equation
The matching section of an exam has 3 questions and 7 possible answers. In how many different ways can a student answer the 3 questions, if none of the answer choices can be repeated?
O combination
O permutation
Answer:permutations
Step-by-step explanation:
Write the ratio as a fraction in lowest terms.
15 minutes to 3 hours
Answer:
Part A is 5/6 of the whole
Part B is 1/6 of the whole
Solution:
Assuming there are no other parts,
the Whole = A + B is the denominator:
Whole = 15 + 3 = 18
Part A = 15 and Part B = 3 are numerators for each fraction.
The fractions are then:
15/18 and 3/18
Meaning:
Part A is 15/18 of the whole
Part B is 3/18 of the whole
Reducing the fractions, it is also true that:
Part A = 5/6 of the whole
Part B = 1/6 of the whole
Mrs. Fox met with 120 students. If three- quarters were girls, how many boys were at the meeting
Answer:30 boys
Step-by-step explanation: There are 120 students, three-fourths are girls. Nine out of twelve is equal to three fourths, if you add a zero to the end of twelve and nine you get 90 out of 120, which is how many girls there are. If you subtract 90 from 120 you get 30 or one-fourth. The number of boys is equal to one-fourth because there is only one-foutlrth left. So, there are 30 boys.
In ∆PQR, ∠P = 90degrees , PQ= 12 cm, PR=16cm. Find ∠Q
Answer:
∠Q = 53.13 degrees
Step-by-step explanation:
Given that ∆PQR, ∠P = 90degrees , this means that the triangle is a right angled triangle
Hence using the notation
SOH CAH TOA
where S is sine, C is cosine, T is tangent and O, A and H represents the size of the opposite, adjacent and hypotenuse sides
Considering ∠Q and the given sides
PR=16cm is the opposite side,
PQ= 12 cm is the adjacent side hence we use TOA
Tan Q = 16/12 =
Q = Arc tan 16/12
= 53.13 degrees
Which side of the mountain would protect you from the wind best?
Answer:
well on the ocean you will feel the wind so no
Step-by-step explanation:
GIVING BRAINIEST!!!!!!!!
Answer:
look at the horizontal line in the picture. the degree measure of any line is 180° given there's a perpendicular ray through that horizontal line it's therfore split into two sides both with angle measure of 90°.
given f is 71° then g can be found knowing that both g and f must add to 90°. 71+g=90. g=19°
now look at f again. f and d are what's known as vertical angles and that means that they're angle measures are congruent. therfore the measure of d is 71° d=71°
Finally to find e we notice that angle d and e form a straight line which means both angles measures must add to 180°. therefore e can be found by computing d+e=180
aunaitituitmg our information we know 71+e=180 then e must equal 109° e=109°
Find the circumference and the area for this shape
Answer:
Hello!
Im using 3.14 for pi
circumference: 43.96
area: 153.86
Hope that helps!
Answer:
43.96km
Step-by-step explanation:
hope this helps, braniliest plzz
algebra two I need to show all work so please if you do help please help me with the work portion
Answer:
8.
[tex]\sqrt[3]{\frac{7x^3}{64y^4} } = \frac{(7x^3)^{\frac{1}{3}} }{(64y^4)^{\frac{1}{3} }} =\frac{7^{\frac{1}{3} }*x}{4^3^{\frac{1}{3} }y^4^{\frac{1}{3} }} =\frac{x}{4} \sqrt[3]{\frac{7}{y^4} }[/tex]
9.
[tex]\frac{4+\sqrt{6} }{3\sqrt{6} } =\frac{(4+\sqrt{6} )(\sqrt{6}) }{3\sqrt{6} \sqrt{6} } =\frac{4\sqrt{6}+6 }{3*6} =\frac{4\sqrt{6} +6}{18} =\frac{2\sqrt{6} +3}{9}[/tex]
10.
[tex]\frac{2 + 5\sqrt{2} }{2-\sqrt{2} }= \frac{(2 + 5\sqrt{2})(2+\sqrt{2}) }{(2-\sqrt{2})(2+\sqrt{2} ) } = \frac{4+ 2\sqrt{2} + 10\sqrt{2} +10 }{2^2 -\sqrt{2}^{2} } =\frac{14 + 12\sqrt{2} }{4-2} =\frac{14 + 12\sqrt{2} }{2} = 7 + 6\sqrt{2}[/tex]
How many ways can a person choose 3 desserts from a desserts tray 8 desserts
In combinatorics, this question is a combination question, because combination deals with selection while permutations deal with arrangement.
[tex]nCr = \frac{n!}{(n - r)!r!} \\ [/tex]
Plugging in our values,
[tex]8C3 = \frac{8!}{(8 - 3)!3!} = \frac{8!}{5!3!} = \frac{8 \times 7 \times 6 \times 5!}{5!3!} = \frac{8 \times 7 \times 6}{3 \times 2} = 56 \\ [/tex]
That means 3 desserts from a tray of 8 desserts 56 times.
The state of Georgia's HOPE scholarship program guarantees fully paid tuition to Georgia public universities for Georgia high school seniors who have a B average in academic requirements as long as they maintain a B average in college. It was reported that 28.3% of a random sample of 137 students entering Ivan Allen College at Georgia Tech (Social Science and Humanities) with a HOPE scholarship lost the scholarship at the end of the first year because they had a GPA of less than 3.0. It was also reported that 22 of a random sample of 111 students entering the College of Computing with a B average had lost their HOPE scholarship by the end of the first year.
Required:
Is there evidence that the proportion who lose HOPE scholarships is different for the College of Computing than for the Ivan Allen College?
Answer:
We accept H₀ p₁ = p₂ : We don´t have evidence to support any difference between the proportions
Step-by-step explanation:
Information from Ivan Allen College;
Sample size n₁ = 137
The proportion of students failing
p₁ = 0,283 q₁ = 1 - p₁ q₁ = 1 - 0,283 q₁ = 0,717
Information from College of Computing:
Sample size n₂ = 111
x₂ ( number of students failing ) = 22
The proportion of students failing
p₂ = 0,1981 q₂ = 1 - 0,1981 q₂ = 0,8019
Hypothesis Test:
Null Hypothesis: H₀ p₁ = p₂
Alternative Hypothesis Hₐ p₁ ≠ p₂
Alternative Hypothesis indicates the test is a two-tail test
Choosing a significance level α = 0,05 ( Confidence Interval 95%)
we get from z table z(c) = 1,64
To obtain z(s)
z(s) = ( p₁ - p₂ ) / EED
EED = √(p₁*q₁)/n₁ + p₂*q₂)/n₂
EED = √ (0,283*0,717)/137 + ( 0,1981*0,8019)/111
EED = √ 0,00148 + 0,00143
EED = 0,054
And
z(s) = ( 0,283 - 0,1981 )/ 0,054
z(s) = 1,57
Comparing z(c) and z(s)
z(c) > z(s)
Then z(s) is in the acceptance region for H₀ : We accept H₀
If i had $3,000,000 And i wanted to buy a large screen tv that costs 123,000,000 how much money will i need to sve up to buy the tv?
Answer:
$120,000,000
Step-by-step explanation:
Just do $123 million - $3 million
In x= 2.1
A. x = 5.71
O B. X= 8.17
C. X= 7,51
O D. X = 0.74
Answer:
5.71
Step-by-step explanation:
Find the value of (6^0 − 7^0) × (6^0 + 7^0)
Answer:
-13
Step-by-step explanation:
6-7 x 6+7
-1 x 13
-13
Pls help I’ll brainlest ASAP
Answer:
A) -1
Step-by-step explanation:
anything raised to the zero power is 1 but if there is a negative without parentheses around it then it becomes -1
ex, (-4)° = 1
Answer:
It would be -1.
Step-by-step explanation:
This is because any postive number to the power of 0 equals 1 but since there is a negative sign, it would become -1.
What was the concentration of the drug 4 hour(s) after injection?
Answer:
it's 47÷4=11 3/4 will be your final answer
SOME PLEASE HELP ME I HAVE TO TURN THIS IN AND IT DUE SOON
Answer: i am sorry but the picture wont load-
Step-by-step explanation:
Which procedure justifies whether Negative 3 x (5 minus 4) + 3 (x minus 6) is equivalent to Negative 12 x minus 6?
Answer: The expressions are not equivalent because -3(2)(5-4)+3(2-6)=-18 and -12x-6=-30
Step-by-step explanation: Honestly I just did the math but wasn’t sure what it was. Educated guess, I got it right on the test
4) En el banco Visión, 1.500.000 G es el saldo mínimo permitido en una caja de ahorro a la
vista. Si una cuenta tiene saldo menor, le cobran una multa de 75.000 6 mensuales.
Al padre de Leticia le descontaron 225.000 6.
a) Indicar con un número entero negativo el descuento sufrido.
b) ¿Qué operación tienen que resolver para saber durante cuántos meses el saldo fue
menor al permitido?
c) Calcular durante cuántos meses el saldo fue menor.
Answer:
a) [tex]-225.000\,G[/tex], b) La cantidad de meses en los que el saldo fue inferior al permitido se calcula al dividir el descuento total por la multa mensual, c) El saldo fue menor durante 3 meses.
Step-by-step explanation:
a) Asumamos que la caja de ahorro es un recipiente, donde las entradas de dinero son positivas y las salidas negativas. Un descuento debe entenderse como negativa en tanto que se paga en función de no superar el saldo mínimo permitido en un período determinado. En consecuencia, el descuento sufrido por el padre de Leticia se describe como -225.000 G.
b) y c) La cantidad de meses en los que el saldo fue inferior al permitido se calcula al dividir el descuento total por la multa mensual, es decir:
[tex]x = \frac{225.000\,G}{75.000\,\frac{G}{mes} }[/tex]
[tex]x = 3\,meses[/tex]
A. Use this diagram of a right triangle to derive and prove the Pythagorean Identity based on sin 0 and cos 0. Start with
what you know about the relationship among a (adjacent side), o (opposite side), and h (hypotenuse). Using the diagram
and the labeled components, define sine and cosine. Incorporate these definitions in your equation. In your response,
include all steps and calculations.
h
어
B. With respect to 0, the adjacent side of the triangle has a length of 12 cm and the opposite side has a length of 10 cm.
Find the values of the hypotenuse, h, 0, and e. Then, use these values to confirm the Pythagorean Identity for this
triangle.
Answer:
Hopefully this link helps because i can't type all your information out
https://socratic.org/answers/461013
Step-by-step explanation:
MARK ME BRAINLIEST PLZZZZZZZZZZZZZZZZZZzzzzzzzzzzzzzzzzzzzzA loan of $7,000 for 4 acres of woodland is compounded somiannually at an annual rate of 8% for 3 years.
How much INTEREST is paid at the end of 3 years?
Answer:
$560
Step-by-step explanation:
quickly help 1//////////////////////////////////
Answer:
1 [tex]\frac{2}{8}[/tex]
Step-by-step explanation:
The largest is 1 [tex]\frac{4}{8}[/tex], and the smallest is [tex]\frac{2}{8}[/tex]. 1 [tex]\frac{4}{8}[/tex] - [tex]\frac{2}{8}[/tex] = 1 [tex]\frac{2}{8}[/tex].
What expression is (x -6)2 equivalent to?
Answer:
2x−12
Step-by-step explanation:
Answer:
2x−12
Step-by-step explanation:
Problem to solve:
(x−6)2
Solve the product 2(x−6)
2x+2⋅−6
Multiply 22 times -6−6
2x-12
Final Answer
2x-12
2x−12
PLzzzzzz help...........
Answer:
37.7
Step-by-step explanation:
pi X Diameter is circumfrance!
hope this helps!! :D
Answer:
B
Step-by-step explanation:
3.14x12= 37.68
round to nearest tenth and get 37.7
(thats what i think)
Between which two consecutive whole numbers does 94 sqrt lie? Fill out the sentence below to justify your answer and use your mouse to drag 94 sqrt to an approximately correct location on the number line.
Answer:
9 and 10
Step-by-step explanation:
94 is in between the squares of 9(81) and 10(100) meaning it is in between the two consecutive numbers:
√81 < √94 < √100
9 < √94 < 10
A firm is hired by a small town to estimate the proportion of large trucks that are carrying hazardous materials on the main highway through the town. Of 350 randomly selected trucks, 87 were carrying hazardous materials. Is there evidence at the 5% level that the proportion of large trucks carrying hazardous materials is less than 30%?
A. No, since the p-value of the one-sided test is less than 5%.
B. Yes, since the sample proportion is less than 30%
C. The sample size is too small to make a determination.
D. Yes, since the p-value of the one-sided test is less than 5%.
E. No, since the sample proportion is larger than 5%
Answer:
D. Yes, since the p-value of the one-sided test is less than 5%.
Step-by-step explanation:
Test if there is evidence that the proportion of large trucks carrying hazardous materials is less than 30%.
At the null hypothesis, we test that this proportion is of 30%, that is:
[tex]H_0: p = 0.3[/tex]
At the alternate hypothesis, we test if this proportion is less than 30%, that is:
[tex]H_1: p < 0.3[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
0.3 is tested at the null hypothesis:
This means that [tex]\mu = 0.3, \sigma = \sqrt{0.3*0.7}[/tex]
Of 350 randomly selected trucks, 87 were carrying hazardous materials.
This means that [tex]n = 350, X = \frac{87}{350} = 0.2486[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.2486 - 0.3}{\frac{\sqrt{0.3*0.7}}{\sqrt{350}}}[/tex]
[tex]z = -2.1[/tex]
P-value of the test and decision:
The p-value of the test is the probability of finding a sample proportion below 0.2486, which is the p-value of z = -2.1.
Looking at the z-table, z = -2.1 has a p-value of 0.0179.
The p-value of the test is 0.0179 < 0.05, which means that there is evidence at the 5% level that the proportion of large trucks carrying hazardous materials is less than 30%. Thus, the correct answer is given by option D.