Answer:
a
[tex]z = - 2.12[/tex]
b
[tex]p- value = 0.017003[/tex]
c
There is sufficient evidence to show that the population mean is less than 20
d
[tex]z_{0.05} =- 1.645[/tex]
e
The decision rule is
Reject the null hypothesis
f
The conclusion is
There is sufficient evidence to show that the population mean is less than 20.
Step-by-step explanation:
From the question we are told that
The null hypothesis is [tex]H_o: \mu = 20[/tex]
The alternative hypothesis is Ha: µ < 20
The sample size is n = 50
The sample mean is [tex]\= x = 19.4[/tex]
The level of significance is [tex]\alpha = 0.05[/tex]
The population standard deviation is [tex]\sigma = 2[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{\= x - \mu }{ \frac{\sigma }{ \sqrt{n} } }[/tex]
=> [tex]z = \frac{19.4 - 20 }{ \frac{2}{ \sqrt{50 } } }[/tex]
=> [tex]z = - 2.12[/tex]
From the z table the area under the normal curve to the left corresponding to -2.12 is
[tex](P< -2.12) = 0.017003[/tex]
Generally the p-value is
[tex]p- value = 0.017003[/tex]
From values obtained we see that [tex]p-value < \alpha[/tex] hence
The decision rule is
Reject the null hypothesis
The conclusion is
There is sufficient evidence to show that the population mean is less than 20.
Generally form the normal distribution table the critical value at a level of significance of [tex]\alpha = 0.05[/tex] is
[tex]z_{0.05} =- 1.645[/tex]
Generally given that [tex]z < z_{0.05}[/tex]
The decision rule is
Reject the null hypothesis
The conclusion is
There is sufficient evidence to show that the population mean is less than 20.
the range of what function include-4
Ruben bought 2 large popcorn buckets and 4 small drinks for $20. Lucia bought 2 large popcorn buckets and 2 small drinks for $14. What was the cost of the large popcorn and the small drink?
Answer:
$3 for the small drinks and $4 for the large popcorn
Step-by-step explanation:
so we know that 2 popcorns and 4 small drinks give us $20 and 2 popcorns and 2 drinks gives us 14. so $6 was taken away because of two drinks and 6÷2 equals 3 therefore $3 is how much a small drink costs. after taking away another 6 from 14 because we found the costs of drinks we get $8 for two popcorns and 8÷2 is 4 so a large popcorn costs $4
Answer:
The large popcorn bucket cost $4 and the small drink cost $3.
Step-by-step explanation:
"mailing labels are sold in packages of 16 envelopes are sold in packages of 20 what is the least number of labels and envelopes you can buy so that there is one label on each envelope with none left over?"
Answer:
80 labels
Step-by-step explanation:
The number of packages are 16 envelopes and 20 envelopes
We solve using LCM Method
We find the Multiples of 16 and 20
Multiples of 16:
16, 32, 48, 64, 80, 96, 112
Multiples of 20:
20, 40, 60, 80, 100, 120
Therefore,
LCM(16, 20) = 80
The least number of labels and envelopes you can buy so that there is one label on each envelope with none left over = 80 labels
Answer:
80 labels
Step-by-step explanation:
HELP!!!!! I dont understand this!
Answer:
-14
Step-by-step explanation:
I might be wrong, but this is my interpretation of the problem.
To solve this problem, find the endpoints of the line in the interval. Then draw a line between those two points. Finally, find the slope of the line that passes between the two points.
The line is f(x) = -2x^(2) + 2x + 1
The interval (in standard notation) is (3 [tex]\leq[/tex] x [tex]\leq[/tex] 5)
So when x = 3,
-2x^(2) + 2x + 1
-2(3)^(2) + 2*3 + 1
-2 * 9 + 6 + 1
-18 + 7
- 11
One endpoint is: (3, -11).
When x = 5
-2x^(2) + 2x + 1
-2(5)^2 + 2*5 + 1
-2 * 25 + 10 + 1
-50 + 11
-39
The other endpoint is; (5, -39).
Find the slope of a line passing through these two points.
The formula to find the slope of a line is:
[tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]
[tex]x_{1}[/tex] = 3
[tex]y_{1}[/tex] = -11
[tex]x_{2}[/tex] = 5
[tex]y_{2}[/tex] = -39
((-39) - ( -11))/((5) - (3))
Simplify
-28/2
-14
Dada una distribución t de Student con 15 grados de libertad, calcule el valor de t1 tal que a) el área a la derecha de t1 sea 0.01, b) el área a la izquierda de t1 sea 0.95, c) el área a la derecha de t1 sea 0.10, d) el área a la derecha de t1 junto con el área a la izquierda de –t1 sea 0.01, e) el área entre a –t1 y t1 sea 0.95.
Answer:
a) t₁ = 2,947
b) t₁ = 2,131
c) t₁ = 1,753
d) t₁ = 2,947 -t₁ = -2,947
e) t₁ = 2,131 -t₁ = -2, 131
Step-by-step explanation:
a) t₁ para el área a la derecha de 0,01
En la tabla t- student el t correspondiente a 0,01 es:
t₁ = 2,947
b) t₁ para el área a la izquierda sea de 0,95. Es igual al t para el cual el área de la drecha es 0,05
t₁ = 2,131
c) t₁ para que el área de la derecha sea 0,10
t₁ = 1,753
d) Buscar t₁ para el cual las áreas de derecha de (t₁) más la de la izquierda de (- t₁ ) sea 0,01.
Si el área es de 0,01 quere decir que la mitad, es decir 0,005 es el área para una cola, luego
t₁ = 2,947 y -t₁ = -2,947
e) Para que el área entre - t₁ y t₁ sea 0,95
t₁ = 2,131 y -t₁ = -2, 131
please please help help
Answer the following question. 5 A computer program now has 813,000,000 million users How is this number written in scientific notation? A 8.13 x 10 B 8.13* 10' C 8.13* 10" D 8.13* 10 C A Ов Ос OD
I need help which is it (A) (B) (C) or (D)
Answer:
The answer is A
Step-by-step explanation:
Milo pays $3 per pound for dog food at Pat's Pet
Palace. The graph below represents the cost per
pound of food at Mark's Mutt Market. At which
store will Milo pay a lower price per pound for
dog food?
Answer:
Pat Pet's Palace
Step-by-step explanation:
Price of dog food at Pat Pet's Palace = $3 per pound
Price of dog food at Mark's Mutt Market can be estimated using the graph given.
The graph is a proportional graph, thus, the constant of proportionality between cost and pound = y/x
Using the coordinates of a point on the line, (2.5, 10), constant of proportionality or unit rate = y/x = 10/2.5 = 4.
This means the price of dog food at Mark's Mutt Market is $4 per pound.
Therefore, Milo would pay a lower price per pound for dog food at Pat Pet's Palace.
Evaluate the expression 54⁰
Answer:
1
Step-by-step explanation:
All numbers to the power of 0 are 1.
PLS GIVE BRAINLIEST
Simplify the rational expression -9x/x-x^2
See image attatched below SOMEONE HELP ME ASAP
Answer:
-9/x-1
The top one.
Trevor was reading a book for a book report last week he read 55 pages of the book this week he read 3.5 times as much pages as he reads last week
Answer:
192.5
Step-by-step explanation:
multiply 55 and 3.5
If f(x)= -3x+4 and g(x)=2, solve for the value of x for which f(x)=g(x) is true
Answer:
If i did this right the answer would be f(2)=g(2)
both numbers are 2 and the numbers are (x) so x=2
Step-by-step explanation:
Hope this helps Kas <33
I need help with this question.
Answer:
5c-5=45
Step-by-step explanation:
Since he didn't have the dessert you have to take away the five and the total was 45 which means something has to equal it.
PLS ANSWER QUICK DOING TEST PLS PLS PLS :(
Which table of values corresponds to the graph below?
Btw first picture is not an option that's the graph that you have to answer so pls tell me
if R is the midpoint of QS, RS = 2x-4, ST = tx-1, and RT = 8x-43
The question is incomplete. Here is the complete question.
If R is the midpoint of QS, [tex]RS=2x-4[/tex], ST = [tex]4x-1[/tex] and RT = [tex]8x-43[/tex], find QS.
Answer: QS = 68 units
Step-by-step explanation: The figure below shows a line segment QT.
To determine QS, first, determine value of x:
RT = RS + ST
[tex]8x-43=2x-4+4x-1[/tex]
[tex]8x-43=6x-5[/tex]
2x = 38
x = 19
Now, we determine QS:
Midpoint is a point dividing a line segment in two equal parts.
Then, QR = RS.
QS = QR + RS
QS = 2RS
[tex]QS=2(2x-4)[/tex]
[tex]QS=4x-8[/tex]
Substituting x = 19:
[tex]QS=4.19-8[/tex]
QS = 68
The segment QS is 68 units.
Answer: x = 1
Step-by-step explanation:
I have no idea what the actual answer is, as you didn't ask a question. So i'm assuming that you want the value of x.
Step 1: Draw a line containing all the points
R is in between point Q and point S, while T is last, based on alphabetical order.
Illustration:
2x - 4 Tx - 1
Q R S T
8x - 43
Step 2: Find T's value
To find t, create the substitution equation RS + ST = RT
2x - 4 + tx - 1 = 8x - 43
-2x -2x
-4 + tx - 1 = 6x - 43
tx - 5 = 6x - 43
tx = 6x - 38
tx/x = 6x/x - 38
t = 6 - 38
t = -32
This is the value of t
By the way, there is no correlation between point T and the variable t.
Step 3: Find x's value
Now that we know what t is, we can solve for x
2x - 4 -32x - 1 = 8x - 43
-30x - 5 = 8x - 43
+30x +30x
-5 = 38x - 43
+43 +43
38 = 38x
38/38 = 38x/38
1 = x
This is the value of x
help find the missing side
Answer:
12.9
Step-by-step explanation:
tanθ=opp/adj
tan 24° = x/29
x = 29 tan 24°
x = 12.9
What is the equation of a line that goes through the point (0, -5) and has a slope of -3?
Answer:
y = -3x - 5
Step-by-step explanation:
The equation of a line is given as either:
[tex]y = mx + b[/tex] where m is the slope, and b is the y-intercept.
or
[tex]y-y_{1} = m(x-x_{1} )[/tex] where given that you have a point (x, y), y₁ is the y-value of the point, m is the slope, and x₁ is the x-value of the point.
We can just plug in the point (0, -5) into the second equation and -3 for the slope.
However, (0, -5) tells us that this point must be a y-intercept, since the x-value of that point is 0. So, we can also just plug into the first equation -5 for the y-intercept and -3 for the slope.
So, we get:
y = -3x + (-5)
Which simplifies into:
y = -3x - 5
Answer:
i dont know
Step-by-step explanation:
2/7 + 3/7= please help xx
Answer:
5/7
Just add 2 and 3
The correct answer is 5/7.
Hope you have a great day!
Tell whether the lines through the given points are parallel, perpendicular, or neither.
Line 1: (10,5), (-8,9)
Line 2: (2, - 4), (11, -6)
The slope of line 1 is...
The slope of line 2 is...
These 2 lines are...
Answer:
The Slope of Line 1 is -> [tex]-\frac{2}{9}[/tex]
The Slope of Line 2 is -> [tex]-\frac{9}{2}[/tex]
These two lines are - > Perpendicular
Step-by-step explanation:
To find the slope of line one, you follow these steps:
First Coordinate 10 -> x1, 5 -> y1
Second Coordinate -8 -> x2, 9 -> y2
Then insert the assigned values into this equation: [tex]\frac{y2-y1}{x2-x1}[/tex] -> [tex]\frac{9-5}{-8-10}[/tex] which equals [tex]\frac{4}{-18}[/tex] which simplifies to [tex]-\frac{2}{9}[/tex]
Then do the same process to find the slop of line 2:
First Coord: 2 -> x1, -4 -> y1
Second Coord: 11 -> x2, -6 -> y2
Then insert the values into this equation: [tex]\frac{y2-y1}{x2-x1}[/tex] ->[tex]\frac{11-2}{-6-(-4)}[/tex] which equals [tex]\frac{9}{-2}[/tex].
We know the lines are perpendicular by:
a. Typing the equations of the lines into a graphing calculator and observing the graph
b. Looking at the slopes. By looking at the slopes, we see that the slope of line 1 is the reciprocal of line 2, and vice versa. Since reciprocal slopes indicate perpendicular lines, the lines 1 and 2 are perpendicular to each other.
Hope this helps!
I’m pretty sure I know the answer but I just wanna check myself, thanks :)
Someone please help ASAP!!!!
Answer:
3/5 = 6/10, which is 0.6 in decimal form
15 pts and brainliest, true, correct answers only
If N∈AB and AN= 1 3 · AB, then BN = · AB.
Answer:
13
Step-by-step explanation:
Not sure, i'm sorry
should be the same logic as
a=b
b=c
a=c
HELP PLEASE! IM DUMB AND DONT HAVE MUCH TIME :( SPENDING 18 POINTS ON THIS
Answer:
The correct choice is the one on the bottom right.
Fast plz
The options are
-Is
-Is not
Answer:
the rate of change is constant
Step-by-step explanation:
If it is 7:00 pm in New Mexico (NM), what time is it in Maryland (MD)?
United States
Pok
Morgan
Canon
Eastern
O 5:00 pm
O 8:00 pm
o 9:00 pm
O 6:00 pm
A city bus compny sold 35 one-way tickets and 20 round trip tickets from west elmwood to east elmwood. One way tickets cost $14. Round trip tickets cost $27. How much money did the bus company collect?
Answer:
$1,030
Step-by-step explanation:
Step 1- Multiply One way tickets by How much the tickets cost:
35 x 14= 490
Step 2- Multiply Round trip tickets by how much the tickets cost:
20 x 27= 540
Step 3- Add both sums together:
490 + 540= 1,030
Therefore, the answer is $1,030
Try These questions out and I’ll give you brainliest My friends
Answer:
question 10 is B
Step-by-step explanation:
What is the value of the expression 3/19 divided 7/2
Answer:
Exact Form:
6/133
Decimal Form:
0.04511278
Step-by-step explanation:
8.91 divided by 5 dividing with decimal
Answer:
1.782
Step-by-step explanation:
8.91 ÷ 5= 1.782
Answer: 1.782
Step-by-step explanation:
Divide 8.91 by 5
1.782
HELP I HAVE UNTIL TOMORROW!!!
Answer:
X=85°....
Step-by-step explanation:
you do this by first acknowledging that in any triangle 180° will be present... so 40 + 45° equals 85°..this means that the other angle in the triangle will equal 95 degrees... now, in a line there's 180° present... that means 180 minus the 95 from the angle of c equals 85.