Answer:
9.
Step-by-step explanation:
x - 2 ) 3x^2 + 4x - 11 ( 3x + 10 <--------Quotient
3x^2 - 6x (Subtract)
10x - 11
10x - 20 (Subtract)
9 <---------- Remainder
Complete the statement with equal to, greater than, or less than. 1/3 x 2 1/6 will be 2 1/6
Answer: c
Step-by-step explanation:
bc
A school administrator claims that 85% of the students at his large school plan to attend college after graduation. The statistics teacher at this school selects a random sample of 50 students from this school and finds that 76% of them plan to attend college after graduation. The administrator would like to know if the data provide convincing evidence that the true proportion of all students from this school who plan to attend college after graduation is less than 85%. What are the values of the test statistic and P-value for this test?
Find the z-table here.
z = –1.78, P-value = 0. 0375
z = –1.78, P-value = 0. 0750
z = 1.78, P-value = 0.0375
z = 1.78, P-value = 0. 0750
Answer:
The first where z = -1.78 and p-value = 0.0375 would be the correct answer
Hope it helps
Using the z-distribution, it is found that the test statistic and the p-value of the test are given as follows:
z = –1.78, P-value = 0.0375.
What are the hypothesis tested?At the null hypothesis, it is tested if the proportion is of 85%, that is:
[tex]H_0: p = 0.85[/tex]
At the alternative hypothesis, it is tested if it is less than that, hence:
[tex]H_1: p < 0.85[/tex].
What are the test statistic and the p-value?The test statistic is given by:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
In which:
[tex]\overline{p}[/tex] is the sample proportion.p is the proportion tested at the null hypothesis.n is the sample size.In this problem, we have that the parameters are given as follows:
[tex]n = 50, \overline{p} = 0.76, p = 0.85[/tex]
Hence, the test statistic is given by:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
[tex]z = \frac{0.76 - 0.85}{\sqrt{\frac{0.85(0.15)}{50}}}[/tex]
z = -1.78.
Using a z-distribution calculator, considering that we have a left-tailed test, as we are testing if the proportion is less than a value, the p-value is of 0.0375.
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The varsity soccer team has 20 players. Three of the players are trained to be goalies while the remaining 17 can play any position. Only 11 of the players can be on the field at once.
(a) We want to find the number of possible groups of 11 players the coach can choose. Is this a
permutation or a combination?
(b) If the coach wanted to choose her 11 starters at random by drawing names from a hat, how many possible groups of 11 starters could she choose?
(c) The coach wants to make sure there is exactly one goalie on the field. How many ways can the
coach choose a lineup of 11 players if exactly 1 player must be a goalie?
Answer:
Combination.
167960
58344
Step-by-step explanation:
A.)
Choosing 11 players from 20 ; here the order in which the players are chosen does not matter, hence it is a combination problem.
2.)
Using nCr
n = 20 ; selection, r = 11
nCr = n! / (n-r)!r!
20C11 = 20! / 9!11!
20C11 = 167960
3.)
1 goalie 10 players
3C1 * 17C10
3 * 19448
= 58,344 ways
Lionel wrote an arithmetic sequence. The first five terms of the sequence are shown below.
3, 10, 17, 24, 31, ...
What is the next term of Lionel's sequence? Show or explain how you got your answer.
Answer:
The common difference between numbers is 7.
3
3+7=10
10+7 = 17
17+7=24
24+7=31
31+7= 38
3, 10, 17, 24, 31, 38
helpmiiiiiiiiiiiiiiiiiiiiiiiiii
Answer:
[tex]2x - 3y = 5 - - - (a) \\ 5x = 4y + 14 \\ 5x - 4y = 14- - - (b) \\ 5 \times (a) - 2 \times (b) : \\ - 7y = - 3 \\ y = \frac{3}{7} \\ x = \frac{22}{7} [/tex]
Answer:
SO not sure if you want me to solve the equation after, but if it's just asking for the matrix method then here ya go
Step-by-step explanation:
SO, first equation is already in matrix form
Second equation = -5x + 4y = -14
So your answer is:
2x - 3y = 5
-5x + 4y = -14
The diagram shows a triangle.
What is the value of c?
Answer:
C=39
Step-by-step explanation:
180=sum of angles in a triangle
67+74+C=180
141+C=180
C=180-141
C=39
What is the distance of this figure, I have the answer it’s 140 ft I just need to show the work
Marking brainliest!
Don’t use the internet pls!
I would say based on Lincoln's success and that Lincoln helped inspire Martin. Lincoln won the Civil War which helped open the minds of other people who were pro-slavery so that's what I mean about the success.
1. Mary noticed 5 ants in her pantry on Monday. On Tuesday she counted 15 ants in the pantry. On Wednesday she counted 45 ants in the pantry,
Day Ants
Monday 0 5
Tuesday 1 15
Wednesday 2 45
Part A Determine an exponential function model (y=ab) to represent the number of ants in the pantry in terms of the number of elapsed days. Explain how you arrived at your model.
Part B Does the problem situation represent exponential growth or decay? Justify your reasoning.
so what is really the answer?
What are these numbers least to greatest ??!!! 8th grade math !!
Answer:
i gotchu its d
Step-by-step explanation:
hope it helps!
Could use sum help please
Answer:
I need help with the same thing-
Step-by-step explanation:
What is the surface area of the right rectangular prism below?
25030
A.
130 in.2
B.
154 in.2
C.
308 in.2
D.
312 in.2
Answer:
Hello! answer: 308 HOPE THAT HELPS!
Janine has 48 hockey cards in one book and 105 hockey cards in another book. The hockey cards come in packages of 5 cards. If Janine bought all of her hockey cards in packages, how many packages did she buy?
Answer: 31
Step-by-step explanation:
Janine has 48 hockey cards in one book and 105 hockey cards in another book. Therefore, the total hockey cards will be:
= 48 + 105
= 153 hockey cards
Since the hockey cards come in packages of 5 cards, the number of packages that she will buy will be:
= 153/5
= 30 3/5
= 31
Therefore, she'll buy 31 packages
Two forces of 960 pounds and 670 pounds act simultaneously on an object. The angle between the two forces is 34 degrees find the magnitude of the resultant to the nearset tenth.
Answer:
1561
Step-by-step explanation:
ONLY NEED ANSWER FOR PART B PLEASE AND THANK U!!
Windows on the International Space Station are shown below. Suppose the long base of the window is 15.2 feet and the short base is 11.2 feet. The perpendicular height from one base to the other base is 8.4 feet. Draw one of the trapezoid-shaped windows on grid paper and label its dimensions. Describe the process you would use to find the area of one trapezoid-shaped window. (2 points)
Calculate the area of the window using the dimensions given in Part A. Show your work and explain your reasoning. (4 points)
Answer:
The formula is Area = base+base/2 x height.
Step-by-step explanation:
This means that we need to add both bases, then divide that by 2. The quotient of that gets multiplied by the height, and you have your answer.
Answer:
½h(a+b)Step-by-step explanation:
½×8.4(11.2+15.2)
4.2 × 26.4
105.68
Graph: Y-3 = 1/2 (x + 2)
Move all terms not containing y to the right side of the
equation.
y= X/2+4
Rewrite in slope-intercept form.
y=1/2x+4
Use the slope-intercept form to find the slope and y
intercept.
Slope: 1/2
y-intercept: (0,4)
Any line can be graphed using two points. Select two x values, and plug them into the equation to find the corresponding y values. Answer: (0,4) (2,5)
Name an angle supplementary to angle COD.
Answer:
ur question is incomplete. what is angle COD
matthew lives 6 miles east of the school drew lives 8 miles north of the school. what is the shortest distance between the two houses? A. Two miles b. 10 miles c. 100 miles d. 4 miles
Answer:
Step-by-step explanation:
2miles
The required shortest between the two houses is given as 10 miles. Option B is correct.
What are Pythagorean triplets?In a right-angled triangle, its side, such as the hypotenuse, is perpendicular, and the base is Pythagorean triplets.
Here,
Matthew lives 6 miles east of the school drew lives 8 miles north of the school.
Let's assume, the position of Mathew and drew house create the right angle with the school,
hypotenuse distance between Mather and Drew's house be x,
Applying the Pythagoras theorem,
x = √[8² + 6²]
x = √[100]
x = 10 miles
Thus, the required shortest between the two houses is given as 10 miles. Option B is correct.
Learn more about Pythagorean triplets here:
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find the measure of the arc or angle indicated. assume that lines which appear tangent are tangent. just enter the number.
Answer:
C. 60°
Step-by-step explanation:
The vertical angle formed inside a circle when two chords intersect each other is equal to half the sum of the measures of the intercepted arcs, based on the intersecting chords angle measure theorem.
Thus:
90° = ½(120° + arc TA)
Multiply both sides by 2
2*90 = 120 + arc TA
180 = 120 + arc TA
Subtract 120 from each side
180 - 120 = arc TA
60° = arc TA
Arc TA = 60°
if i got 576 pets and then i leave 111 pets and then add another 890 how much do i have in total
Answer:
1355 pets
Step-by-step explanation:
576 pets - 111 pets = 465 pets
465 pets + 890 pets = 1355 pets
Answer:
1355 pets
Step-by-step explanation:
What is the value of 5•(13÷3)÷2? Please answer!!!!!
Answer: 10.83
Step-by-step explanation:
Pemdas
Can someone help me out with the last three, will mark as brainliest if correct!
Answer:
x = 65
y = 71
z = 44
Step-by-step explanation:
y = 71 because If two parallel lines are cut by a transversal, then the alternate interior angles formed are congruent
Cual transformación produce acercamientos de las gráficas al eje de Y en el plano de coordenadas
Answer:
El eje horizontal en el plano de coordenadas se llama eje-x. El eje vertical se llama eje-y. El punto en el que los dos ejes se intersectan se llama origen.
Step-by-step explanation:
Order these numbers from least to greatest: -4, 1/4, 0, 4, -3& 1/2, 7/4, -5/4
Answer:
-4 < -3 < -5/4 < 0 < 1/4 < 1/2 < 7/4 < 4
Step-by-step explanation:
Answer:
In order of least to greatest. -4, -3 1/2, -5/4, 0, 1/4, 7/4, 4
Step-by-step explanation:
please help me!!! i’m so bad at math hahaha
Answer:
Step-by-step explanation:
64x³-64x²-9x+14
What is the length of each segment?
Segment AB: from A(-2,1) to B(-2, 5)
Answer:
[tex]length = \sqrt{ {( - 2 - ( - 2))}^{2} + {(5 - 1)}^{2} } \\ = \sqrt{16} \\ = 4 \: units[/tex]
Answer:
4 units
Step-by-step explanation:
Somebody help me with this
Answer:
D s>350000
Step-by-step explanation:
The difference in base salary is 7,000 (45,000-38,000). To earn an additional 7,000, sales must be at least 350,000.
350000 x.02 (2% commission) is 7,000
Determine the equation of the line parallel to the line y=34x+2
y=3/4x+2 that passes through the point (4, -3).
Answer:
y = 34x - 139 (y = 34x + 2)
y = [tex]\frac{3}{4}[/tex]x - 6 (y = 3/4x +2)
Step-by-step explanation:
(I'm not sure if the two equations were the same or not, but I provided the answers just in case.) Parallel lines are two lines that have the same plane and slope but never intersect. To find the equation, use the formula y - [tex]y_{1}[/tex] = m (x - [tex]x_{1}[/tex])
can someone write down the steps how you go from f(x) to g(x)
Answer:
this is an example of your question
I hope it helps
Which of the following is a pair
of equivalent radical expressions?
The radicals [tex]\sqrt{180}[/tex] and [tex]3\sqrt{20}[/tex] are equivalent.
What is radical?
A radical, or root, is the mathematical opposite of an exponent, in the same sense that addition is the opposite of subtraction.
Which option shows equivalent radical?The value of [tex]\sqrt{54}[/tex] is [tex]3\sqrt{6}[/tex] which is not equivalent to [tex]9\sqrt{6}[/tex] .
The value of [tex]\sqrt{180}[/tex] is [tex]6\sqrt{5}[/tex].
The value of [tex]3\sqrt{20}[/tex] is [tex]6\sqrt{5}[/tex].
The radicals [tex]\sqrt{180}[/tex] and [tex]3\sqrt{20}[/tex] are equivalent.
Therefore, the correct option is b.
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