Answer:
The responses to these question can be defined as follows:
Step-by-step explanation:
[tex]n = 16\\\\ \bar{x}= 73.7\\\\\sigma = 12\\\\a = 0.05\ or\ a = 0.10\\\\H_{o} \ : \mu = 68\\\\H_{a} \ : \mu \neq 68\\\\a = 0.05\\\\[/tex]
critical values [tex]=\pm t0.025,15 = \pm 2.131\\\\[/tex]
[tex](n-1) = 15^{\circ}\\\\a = 0.10\\\\[/tex]
critical values[tex]= \pm t0.05,15 = \pm 1.753\\\\[/tex]
[tex](n-1) = 15^{\circ}\\\\[/tex]
Testing the statistic values:
[tex]t = \frac{x-\mu_{0}}{ \frac{s}{\sqrt{n}}}\\\\[/tex]
[tex]= \frac{73.7-68}{(\frac{12}{\sqrt{16}})}\\\\\ = \frac{5.7}{(\frac{12}{4})}\\\\ = \frac{5.7}{(3)}\\\\ = 1.9\\[/tex]
Test statistic ta [tex]= -1.90\ lies[/tex]
The critical values[tex]\pm t_{0.05,15} =\pm 1.753[/tex]
It is in the region of dismissal. We dismiss the 10% significant null hypothesis.
[tex]t_a = 1.90 \\\\df = 15\\\\a = 0.05\\\\p-value = 076831\\\\[/tex]
P - value is greater than the level of significance a= 0.05
Null hypothesis we don't reject. At a 95% level, the claim is justified.
[tex]t_a = 1.90\\\\ df = 15\\\\ a = 0.10\\\\p-value = 076831\\\\[/tex]
P - value below the meaning level a = 0.10, we reject the hypothesis null. At a level of 90% the claim is not justified.
a) Expand and simplify (x + 4)(x - 7)
Answer:
X x X=x²
X x -7=-7x
4 x X=4x
4 x -7=-28
-7x + 4x=-3x
x² + -3x -28
hope that helped :)
Step-by-step explanation:
Four students, Jackson, Chloe, Lydia, and Noah, line up one behind the other. How
many different ways can they stand in line?
7) Write an inequality that represents 7 more than three times a number, n, is less than 16.
Answer:
3n + 7 < 16
Step-by-step explanation:
7 more than 3 times a number, n, is less than 16 is represented by
3n + 7 < 16 where:
3n = three times a number, n,
+ 7 = 7 more than
and
< 16 = is less than 16.
Answer:
Step-by-step explanation:
Solve for x
Please help!
Answer:
Hello! answer: x = 20
Step-by-step explanation:
Because 3 multiplied by x which equals 20 gets us 60 then we just add the 2 and get 62 these are vertical angles so they will have the same measure hope that helps!
help, short on time rn
Two angles are said to be complementary if the some of those two angles is equal to 90°
Given : ∠WXY and ∠YXZ are complementary angles
⇒ ∠WXY + ∠YXZ = 90°
Given : ∠WXY = (2x + 5)° and ∠YXZ = (8x - 5)°
⇒ (2x + 5)° + (8x - 5)° = 90°
⇒ 10x = 90°
⇒ x = 9°
Substituting the value x = 9° in angles ∠WXY and ∠YXZ, we get :
⇒ ∠WXY = 2(9) + 5 = 18 + 5 = 23°
⇒ ∠YXZ = 90° - 23° = 67°
Estimate the slope of the regression line manufacturer of cases for sound equipment requires drilling holes for metal screws. The drill bits wear out and must be replaced; there is expense not only in the cost of the bits but also for lost production. Engineers varied the rotation speed of the drill and measured the lifetime in thousands of holes drilled of bits at different speeds in surface feet per minute (sfm). Suppose you want to create a model that estimates the drill bit lifetime ( y) based on rotation speed ( x). Summary statistics for 20 observations collected are given below.
20 20 20 20
Σ xi = 2,000 ; Σ yi = 86.6 Σ xi^2= 216,000 Σ xiyi= 8,338
i= 1 i=1 i=1 i=1
Estimate the slope of the regression line.
a. -0.017
b.-0.037
c. -0.057
d.-0.077
Answer:
[tex]b_i = -0.020125[/tex]
Step-by-step explanation:
Given
[tex]\sum x_i= 2000[/tex]
[tex]\sum y_i= 86.6[/tex]
[tex]\sum x_i^2= 216000[/tex]
[tex]\sum x_iy_i = 8338[/tex]
[tex]n = 20[/tex]
Required
Determine the slope (b) of the regression line
This is calculated as:
[tex]b_i = \frac{\sum xy - \frac{\sum x\sum y}{n}}{\sum x^2 - \frac{(\sum x)^2}{n}}[/tex]
Substitute values for each term, we have:
[tex]b_i = \frac{8338 - \frac{2000 * 86.6}{20}}{216000 - \frac{(2000)^2}{20}}[/tex]
Simplify the numerator
[tex]b_i = \frac{8338 - 8660}{216000 - \frac{(2000)^2}{20}}[/tex]
Simplify the denominator
[tex]b_i = \frac{8338 - 8660}{216000 - 200000}[/tex]
[tex]b_i = \frac{-322}{16000}[/tex]
[tex]b_i = -0.020125[/tex]
4.
What is the equation of the circle with a radius of 5 and center at (2, 3)?
AO (x + 2)2 + (y + 3)2 = 25
BO (x - 2)2 + (y - 3)2 = 25
CO (x - 2)2 + (y - 3)2 = 5
D. (x + 2)2 + (y + 3)2 = 5
Answer:
the answer is A
Step-by-step explanation: since the radius is 5 and we have (2,3) then we are going into 2 and 3 the x and y represent 5 so the answer wouldn't be 5 then you would have done no work. so it is A. i suck at explaining things hope this helps!
Step-by-step explanation:
[tex]general \: equation \\ {x}^{2} + {y}^{2} + 2gx + 2fy + c = 0 \\ centre : ( - g, - f) = (2,3) \\ g = - 2 \: and \: f = - 3 \\ c = {g}^{2} + {f}^{2} - {r}^{2} \\ c = {( - 2)}^{2} + {( - 3)}^{2} - {(5)}^{2} \\ = - 12 \\ therefore \\ {x}^{2} + {y}^{2} - 2x - 3y - 12 = 0[/tex]
ASCD is a parallelogram. Determine whether each statement must be true. Select Yes
or No for each statement
B
Answer:
angel DAC=angle BAC because opposite angle of parallelogram is equal
8
The median of 3 numbers is 7. If one of the numbers is 10, which of the following is a possible value for one of
the other numbers?
0/
6
8
ОООО
13
17
Review Questions
Mathematics
9514 1404 393
Answer:
(a) 6
Step-by-step explanation:
The median is the middle number when they are sorted into order. If one of the numbers is 10, the remaining number must be any number less than 7. Of the offered choices, the only one less than 7 is 6.
__
The three numbers are 6, 7, 10.
In a lab experiment, 2000 bacteria are placed in a petri dish. The conditions are such that the number of bacteria is able to double every 23 hours. How many bacteria would there be after 26 hours, to the nearest whole number?
Answer:
4,261
Step-by-step explanation:
after 23 hours, the number of bacteria =
4,000.
so, after 26 hours = 4,000+ (3/23 ×4000)
= 4,000 + 261 = 4,261
3/2 of a number is less than this number?
true or false, justify your answers
Answer:
False because 1/2 would be half the number 2/2 or 1 would be the whole number so 3/2 would be a whole and half or 1 1/2
Answer:
false
if the number is X
3/2 of X= X 1/2
[tex]x \frac{1}{2} > x[/tex]
Find the Find the marginal cost function, given the average cost function AC=100100Q+2arginal cost function, given the average cost function AC=100100Q+2
Answer:
Step-by-step explanation:
a) total fixed cost is 100(derived from total cost function). It is not depended on output.
b)AFC=TFC/Q.AFC=TFC/Q.
AFC(100)=100/100=1.AFC(100)=100/100=1.
AFC(300)= 100/300=1/3.AFC(300)=100/300=1/3
no link nor file pease help im crying about these questions
Answer:
7
Step-by-step explanation:
10.5*2/3= 3.5*2=7
Answer:
Step-by-step explanation:
HELP ME PLEASEEEEEEEEEE
Answer:
2, - 6 your welcome caubububyvyvybubufwrduvibuvc
WILL MARK BRAINLEST Select the correct answer.
The stem and leaf plot shows the number of coples of a newly released book ordered from several bookstores.
Answer:
the median is 139
Step-by-step explanation:
there are 19 numbers in the data set. Therefore, the 10th number would be the median.
Please help!
1. What is the perimeter of the triangle below? Show your work.
Answer:
16.73 I THINK
Step-by-step explanation:
my guess is n1 is relating to the 4.9, and if it then you would do the Pythagorean theorem. because the degrees are there to let you know it's a right angle and you are able to use the theorem..... so -
4.9^2 + 4.9^2 =C^2
48.02 =C
√48 = 6.93 (rounded to nearest hundredth)
then you add them all together
4.9+4.9+6.93=16.73
Find the area and perimeter
Answer:
Step-by-step explanation:
Add all 4 sides to get perimeter so the first one is 9+9+2+2=22cm
the area is length x width so the first one is 9 x 2 =18cm ^2
Round to the nearest hundredth (2 decimal places) when necessary
Answer:
volume = 91 cm²
perimeter = 41.1 in
Step-by-step explanation:
volume = 1/2(b1+b2)(h) = 1/2(11 + 15)(7) = 91 cm²
The Hutton's records for the past six months show that their expenditures totaled $2.768, $3,001, $2,663, $2,471, $2,893, and $2,803. What is their average monthly expenditure for the six months?
Answer
2766.5
Step-by-step explanation:
Well to solve for average all you have to do is add the values together then divide by the number of values you started with. So we add them together(2768+3001+2663+2471+2893+2803) and get 16599. Then, since there were 6 values we divide that by 6 and you get your answer.
solve y=x-2 and x+y=12 using substitution
Step-by-step explanation:
y=x-2....eqn1
x+y=12.....eqn2
now,
from eqn 1
y= x-2
again, putting value of y in eqn 2
x+y=12x+x-2=122x=12+2x=14/2x=7in eqn 1
y=x-2y=7-2y=5hope it helps..
PLEASE HELP!!!!!!! Will mark brainlest!!!
Answer:
Step-by-step explanation:
78-90 = 12
If you know that R' (20)=50 and R''(20)=-4, approximate R'(24)
Approximate R' by using a linear approximation: for x close enough to 24, you have
R'(x) ≈ L(x) = R' (20) + R'' (20) (x - 20)
Then
R' (24) ≈ R' (20) + R'' (20) (24 - 20) = -4 + 50 (24 - 20) = 196
Help plis I don’t understand ✋✋
Trapezoid Area =
[ ( Sum of the rules ) × ( height ) ] ÷ 2
_________________________________
Area = [ ( 2 + 3 ) × 3 ] ÷ 2
Area = [ 5 × 3 ] ÷ 2
Area = 15 ÷ 2
Area = 7.5 m^2
Answer this question pls!!
Answer:
(6, 7)
Step-by-step explanation:
A rectangle means that opposite sides are parallel to each other and that opposite sides are equal in measurements.
If we look at the opposite side starting at (2, 1), we can count how long the other side should be. Counting the next point of the rectangle is (6, 1) which is a difference of 4. This means if we count from (2, 7) 4 spaces to the right, we will find our missing vertex.
(2 + 4, 7) = (6, 7)
Find the sum of the measures of the interior angles of the indicated covex
Very confused
Answer:
Step-by-step explanation:
Hope it helps u!!
For each expression in the table, select which number line model, If any, can be used to represent the expression. Select all appropriate cells in the
table.
Answer:
I don’t know
Step-by-step explanation:
You didn’t attach a photo lol
Can someone help me with this please ?
Answer:
I think it’s A.
Step-by-step explanation:
Two trains, Train A and Train B, weigh a total of 243 tons. Train A is heavier than Train B. The difference of their weights is 87 tons. What is the weight of each train?
Answer:
Train A weighs 156 tons, and Train B weighs 78 tons.
Step-by-step explanation:
Given that two trains, Train A and Train B, weigh a total of 243 tons, and Train A is heavier than Train B, with a difference of their weights of 87 tons, to determine what is the weight of each train, the following calculation has to be done:
(243 - 87) / 2 = B
156/2 = B
78 = B
243 - 87 = A
156 = A
Therefore, Train A weighs 156 tons, and Train B weighs 78 tons.
3. The cost of renting a car is $26.50 plus $10 per day. Sales tax is 6%. Select all expressions that represent the cost of renting a car for d days. 1.06(26.50 + 100) 28.09d 26.50 + 6d 28.09 + 10.6d 26.50 + 1.06d
In what direction does the function f(x)=−(14x−1)(4x+1) open? Explain.
Answer: Direction opens downward
Step-by-step explanation:
X-Intercept: (1/14,0),(-1/4,0)
Y-Intercept: (0,1)
Find the vertex using x= -b/2a
Plug it into the vertex form = y=a(x-h)^2 +k
H,K will identify the direction.