Answer:
[tex] z = -1.23[/tex]
And we can calculate the p value with the following probability taking in count the alternative hypothesis:
[tex] p_v = P(z<-1.23) = 0.1093[/tex]
And for this case using a significance level of [tex]\alpha=0.05 ,0.1[/tex] we see that the p value is larger than the significance level so then we can conclude that we FAIL to reject the null hypothesis and we don't have enough evidence to conclude that the true proportion is less than 0.02
Step-by-step explanation:
For this case we want to test the following system of hypothesis:
Null hypothesis: [tex]p =0.02[/tex]
Alternative hypothesis: [tex] p < 0.02[/tex]
The statistic for this case is given by:
[tex]z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}[/tex] (1)
And for this case we know that the statistic is given by:
[tex] z = -1.23[/tex]
And we can calculate the p value with the following probability taking in count the alternative hypothesis:
[tex] p_v = P(z<-1.23) = 0.1093[/tex]
And for this case using a significance level of [tex]\alpha=0.05 ,0.1[/tex] we see that the p value is larger than the significance level so then we can conclude that we FAIL to reject the null hypothesis and we don't have enough evidence to conclude that the true proportion is less than 0.02
Elaine and Sandy both like lemonade Elaine has a 16 tablesspoon box of lemonade Sandy has an 18 tablespoon box of lemonade mix he likes his lemoade stronger and uses 3 tablespoons of mix for each glass of lemonade who will run out of mix first Elaine or Sandy
Answer: Sandy.
Step-by-step explanation:
Elaine has 16 tablespoons of lemonade, and uses 2 per glass.
then she can make 16/2 = 8 glasses of lemonade.
Sandy has 18 tablespoons of lemonade, and she uses 3 per glass,
then she can make 18/3 = 6 glasses of lemonade.
Then Sandy can make less glasses of lemonade than Elaine, this means that Sandy runs out of mixt first.
what is the solution of this equqtion w -3=15
Answer:
w = 18
Step-by-step explanation:
Step 1 :
Solving a Single Variable Equation
Solve : w-18 = 0
Add 18 to both sides of the equation :
w = 18
Hope this helps.
Answer:
w - 3 = 15
w - 3 + 3 = 15 + 3
w = 18
Step-by-step explanation:
1. add three to both sides
Select the correct answer. Maxine owns a food truck that sells cups of frozen yogurt. The revenue, y in dollars, Maxine makes from selling x number of frozen yogurts is recorded in the table below. x 38 44 55 62 76 y 68.42 76.38 83.61 80.27 74.75 If y = -0.03x2 + 3.52x - 21.86 is the equation for the curve of best fit for the given data, about how much revenue will Maxine make when she sells 90 cups of frozen yogurt? A. $41.79 B. $83.61 C. $67.74 D. $51.94
Answer:
$51.94
Step-by-step explanation:
Ashley collects colored golf balls from a miniature golf course. She will randomly select one ball from her collection of 9 blue, 7 magenta, and 2 purple golf balls. Develop a probability model based on theoretical probability.
1. What is the total number of colored golf balls in Ashley’s collection?
2. What is the sample space?
S =
3. What is the theoretical probability that each event in the
sample space occurs?
Answer:
18 golf balls in all, 1/18 is the answer
Step-by-step explanation:
Answer:
1. 18
2. {blue, magenta, purple}
3. P(blue) = 1/2
P(magenta) = 7/18
P(purple) = 1/9
Step-by-step explanation:
Total balls:
9 + 7 + 2 = 18
Sample space: all possible outcomes
{blue, magenta, purple}
P(blue) = 9/18 = 1/2
P(magenta) = 7/18
P(purple) = 2/18 = 1/9
Correct answers only please!
To the nearest cent, how much interest will she earn in 2 years?
Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answer:
10.50 is the interest
Step-by-step explanation:
B = p(1 + r)^t
P = 50
r = .10
t = 2
B = 50(1 + .1)^2
= 50(1.1)^2
= 50(1.21)
= 60.5
But we want to know the interest and this is the balance
60.5- 50 = 10.5
What is the square root of 47?
Answer:
6.8556546004
Step-by-step explanation:
sqrt(47)=
6.8556546004
what is the radius and diameter of a 14cm circle
Answer:
Radius= 7cm
Diameter= 14cm
Step-by-step explanation:
Hope it Helped!!
What is a straight line from the center to the circumference of a circle
Answer:
From the CENTER, it would be radius of the circle
Step-by-step explanation:
Stretching across the entire circle is diameter, while from the center is radius.
2x-y+5=8 in slope-intercept form please!
Answer:
y= 2x - 3
Step-by-step explanation:
slope intercept form: y= mx + b
Answer:
y= 2x-3
Step-by-step explanation:
2x-y+5=8
-y= 8-2x-5
-y=-2x+3
-1(-y=-2x+3)
= y= 2x-3
Help please someone thanks
Answer:
16
Step-by-step explanation:
The run is the amount in the x direction
-8 to 8 = 16 units
(8- - 8) = 8+8 = 16
The run is 16
What is the area of this irregular figure?
A figure can be broken into 2 rectangles. One rectangle has a base of 16 centimeters and height of 8 centimeters. The other rectangle has a base of 8 centimeters and height of 8 centimeters.
128 Centimeters squared
192 Centimeters squared
256 Centimeters squared
512 Centimeters squared
Answer:
192cm²
Step-by-step explanation:
If you cut the shape into 2 and you do 8×8 which is 64cm²
Then you work out the area of the other part of the shape which is 8×16=128cm² then add them two together which is 192cm²
Answer:
here's the answer and proof in the image below
Step-by-step explanation:
plzzzzzzzzzzzzzaaaaaaaaaaaa
Answer:
A
Step-by-step explanation:
use the quadratic formula and you should end up with this
d=1/32 (33+[tex]\sqrt{1217}[/tex])=2.121
The domain is [0,2.121...].
x = -b / 2a = -3.3/(-3.2) = 1.031
max=1.902
so its A
pls mark me brainliest
What is the circumstance and area of a circle with the diameter of 14 inches
Answer:
Area≈153.94in²
The measure of a circumscribed angle is equal to 180° minus the measure of the __________
angle that intercepts the same arc.
Answer:
The measure of a circumscribed angle is equal to 180° minus the measure of the central angle that intercepts the same arc. If two chords intersect in the interior of a circle, then the product of the lengths of the segments of one chord is equal to the product of the lengths of the segments of the other chord.
Step-by-step explanation:
The diagram shows a hexagon.
The hexagon has one line
of symmetry
А
B.
FA = BC
EF = CD
Angle ABC = 123
Angle BCD = 2 x angle CDE
Work out the size of angle AFE.
You must show some of your working.
Your final line must say, AFE = ...
Answer:
158 degrees
Step-by-step explanation:
Step 1:
Let Angle CDE =y
Since Angle BCD = 2 X angle CDE
Angle BCD = 2y
Step 2
Consider Figure 2 attached, each of the figure forms an isosceles trapezoid ABCF and DEFC.
By these properties of Isosceles Trapezoids
Lower Base Angles are CongruentUpper base angles are congruentAny lower base angle is supplementary to any upper base angleTherefore:
[tex]\angle ABC+\angle BCF=180^\circ\\\angle FCD+\angle CDE=180^\circ\\Therefore:\\\angle ABC+\angle BCF+\angle FCD+\angle CDE=360^\circ\\$But \angle BCF+\angle FCD=\angle BCD\\So:\\\angle ABC+\angle BCD+\angle CDE=360^\circ[/tex]
123+2y+y=360
3y=360-123
3y=237
y=79 degrees
Therefore:
[tex]\angle BCD=2 X 79^\circ=158^\circ\\\angle BCD=\angle AFE=158^\circ\\\angle AFE=158^\circ[/tex]
what is 512.3÷ 0.25
Answer:
2049.2
Step-by-step explanation:
512.3÷ 0.25= 2049.2
You can use a calculator... (or long division.)
Answer:
2,049.2
Step-by-step explanation:
Hope this helped!
o(*^▽^*)┛
(WILL GIVE BRAINLIEST) Mrs jackson gave a sum of money to her son and daughter in the ratio 8:9 if her daughter recieved $3060. How much did mrs jackson give to her two children in all
Answer:
5780
Let’s say her daughter is the 9 of the ratio. To find one part, you must divide 3060 by nine which gives you 340. That is one part. You can then multiply that by 8 to find the amount of money her son gets, which is 2720. Then you just add 3060+2720 which gives you 5780.
Identify the slope and yintercept of the function y= -2x+ 3.
Answer:
The slope is -2 and the y-intercept is 3
Step-by-step explanation:
2ײy³+ 15z⁴= z²+ 69x²
solve by factoring
Answer:
x= iz ( 15z²-1) ^1/2 ÷ 2y³ -69 ^1/2
hope this helped
Answer:
combine like terms
Step-by-step explanation:
u wont geta proper answer but u will get a equation that i smaller
Triangle A″B″C″ is formed using the translation (x + 2, y + 0) and the dilation by a scale factor of one half from the origin. Which equation explains the relationship between segment AB and segment A double prime B double prime?
Complete question:
Triangle A″B″C″ is formed using the translation (x + 2, y + 0) and the dilation by a scale factor of one half from the origin. Which equation explains the relationship between segment AB and segment A double prime B double prime?
A) segment a double prime b double prime = segment ab over 2
B) segment ab = segment a double prime b double prime over 2
C) segment ab over segment a double prime b double prime = one half
D) segment a double prime b double prime over segment ab = 2
Answer:
A) segment a double prime b double prime = segment ab over 2.
It can be rewritten as:
[tex] A"B" = \frac{AB}{2} [/tex]
Step-by-step explanation:
Here, we are given triangle A″B″C which was formed using the translation (x + 2, y + 0) and the dilation by a scale factor of one half from the origin.
We know segment A"B" equals segment AB multiplied by the scale factor.
A"B" = AB * s.f.
Since we are given a scale factor of ½
Therefore,
[tex] A"B" = AB * \frac{1}{2} [/tex]
[tex] A"B" = \frac{AB}{2} [/tex]
The equation that explains the relationship between segment AB and segment A"B" is
[tex] A"B" = \frac{AB}{2} [/tex]
Option A is correct
The drama club is selling tickets to their play to raise money for the show's expenses. Each student ticket sells for $4 and each adult ticket sells for $8.50. The auditorium can hold at most 79 people. The drama club must make no less than $460 from ticket sales to cover the show's costs. If 53 student tickets were sold, determine the minimum number of adult tickets that the drama club must sell in order to meet the show's expenses.
Answer:
79 people can only be in this so we have 53 kids so 53 * 4 = 212
Step-by-step explanation:
However, there is 53 kids to find how many adults you will have to do 79 - 53 which that = 26 so 26 adults were there. so 26 * 8.50 = 221.
To fine how much money they earn you will just have to add them up so
$212 + $ 221 = $433 so they didn't really earn the amount of money they really want which is $ 460.
Thus the minimum number of adult tickets that the drama club must sell in order to meet the show's expenses is 29 tickets.
Given,
The drama club is selling tickets to their play to raise money for the show's
expenses.
Each student ticket sells for $4 and each adult ticket sells for $8.50.
The auditorium can hold at most 79 people.
The drama club must make no less than $460 from ticket sales to cover
the show's costs.
If 53 student tickets were sold, determine the minimum number of adult
tickets that the drama club must sell in order to meet the show's expenses.
How to find the number of items from a total cost where each item cost is the same?We will divide the total cost by the cost of each item.
Example:
Cost of each item = $3
Total cost = $9
Number of items = $9 / $3 = 2
We have,
Student ticket:
Cost of each ticket = $4
Number of tickets sold = 53
Total sell from student tickets sold = 53 x $4 = $212
Adult ticket:
Cost of each ticket = $8.50
Number of adult tickets sold = M
Total sell of adult tickets sold = M x $8.50
Total number of people the auditorium can hold = 79
Minimum amount to make from ticket sales = $460
The remaining amount that needs to sale from adult tickets:
= $460 - $212
= $248
The number of adult tickets sold:
M = $248 / $8.50 = 29
Thus the minimum number of adult tickets that the drama club must sell in order to meet the show's expenses is 29 tickets.
Learn more about finding the minimum number of adult tickets that the drama club must sell in order to meet the show's expenses here:
https://brainly.com/question/13955056
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y = 5x + 2
4x – y = 0
Is (2, 12) a solution of the system?
A.yes
B.no
Answer: No
Step-by-step explanation:
Substitute (2,12) into the second equation.
4(2) - (12) = 0
8 - 12 = 0
-4 = 0
This statement is false.
what is the range of the function shown in the graph?
a. -♾ < y < 5
b. -♾ < y < ♾
c. -♾ < y < -5
d. -5 < y < ♾
Answer:
-♾ < y < 5
Step-by-step explanation:
Range is set of all possible values for Y.
To know the range of value from graph one needs to see points on axis beyond which the curve does not move.
Alternatively, we can say range is the value of y which is limiting the movement of curve beyond those limits.
Here we can see that upper point on curve is constrained at midpoint of 4 and 6 which is point 5.
Thus, upper limit is 5
which can be written as
y<5
___________________________________
For lower limit , it
Since , the at lower end curve is extended till the end of graph and the end of graph represents infinity. Also, this infinity is on the negative side of y .
Then lower end is -♾ .
which can be written as
y> -♾
Also we can see that graph is continuous one as there is no break in the curve between 5 and -♾.
Thus range of curve is from minus infinity to 5
which can be expressed as
-♾ < y < 5
Plis help I need help
Answer:
meee tooo
Step-by-step explanation:
helpplppppppp
Answer: 8) All points with an x-coordinate of 0 means that the slope of the graph is 0 and all the points will always lie on the y-axis.
9) All points with a y-coordinate of 0 will always lie on the x axis.
Step-by-step explanation:
What does 81% 90% 80% and 34% average into 20 points
Answer:
71.25%.
Step-by-step explanation:
To find the average, we can simply add up the percentages and divide by how many there are.
We can do this by:
[tex]\frac{81 + 90 + 80 + 34}{4}[/tex] = 71.25%
what is 10 + x = 24?
Answer:
x=14
Step-by-step explanation:
subtract 10 on both sides
24-10=14
x=14
Answer:
x = 14
Step-by-step explanation:
10 + x = 24
-10
x=14
( You subtract 10 from both sides. 24-10 =14. Therefore x =14
Which algebraic expression has like terms? 9 n cubed minus 2 n + 3 minus 4 n squared 7 n cubed + 3 n minus 3 minus 6 n squared 7 n cubed + 4 n minus 3 n cubed minus 5 n squared 6 n cubed minus 4 n Superscript 4 Baseline + 6 n minus 5 n squared
Question
Which algebraic expression has like terms?
[tex]9n^3 - 2n + 3 - 4n^2[/tex]
[tex]7n^3 + 3n - 3 - 6n^2[/tex]
[tex]7n^3 + 4n - 3n^3 - 5n^2[/tex]
[tex]6n^3 - 4n^4 + 6n - 5n^2[/tex]
Answer:
A. [tex]9n^3 - 2n + 3 - 4n^2[/tex]
B. [tex]7n^3 + 3n - 3 - 6n^2[/tex]
Step-by-step explanation:
Given:
The above expressions
Required:
Expressions with like terms
Algebraic expressions are said to have like terms if and only if the have the equivalent exponents;
Like terms are dependent on the exponents and are independent on the sign of each terms.
Listing out the exponents of each options;
A. [tex]9n^3 - 2n + 3 - 4n^2[/tex]
The exponents of n are 3 1 0 2
Rearrange: 0 1 2 3
B. [tex]7n^3 + 3n - 3 - 6n^2[/tex]
The exponents of n are 3 1 0 2
Rearrange: 0 1 2 3
C. [tex]7n^3 + 4n - 3n^3 - 5n^2[/tex]
The exponents of n are 3 1 3 2
Rearrange: 1 2 3 3
D. [tex]6n^3 - 4n^4 + 6n - 5n^2[/tex]
The exponents of n are 3 4 1 2
Rearrange: 1 2 3 4
From the list of exponents above, only A and B are equal;
Hence, the following expressions have the like terms
A. [tex]9n^3 - 2n + 3 - 4n^2[/tex] and B. [tex]7n^3 + 3n - 3 - 6n^2[/tex]
Can i get some help pwease
Answer:
Hey!
Your answer is Y=-5x-6
Step-by-step explanation:
Using the formula y=mx+c...
m=slope c=y-intercept
The coordinate s(the c) it's given you are the coordinates for the y-intercept so we only write the y-value down (the -6)
The m is the slope do we write the slope value (-5)
Which forms y=-5x-6
HOPE THIS HELPS!!
If a = 32 ft, b = 15 ft, c = 16 ft, and d = 19 ft, what is the area of the living room and hallway together?
A.
368 ft2
B.
784 ft2
C.
164 ft2
D.
82 ft2
Answer :
A. 368 ft²
Step by step
[tex]d - b = 19 - 15 = 4 \\ (b \times c) + (a \times 4) \\ = (15 \times 16) + (32 \times 4) \\ = 240 + 128 \\ = 368[/tex]
Answer:
386 ft :)
Step-by-step explanation:
Rachel is making nachos for a party. The recipe calls for 23 cup of cheese for each plate of nachos. Part A How many full plates of nachos can Rachel make with 5 cups of cheese?
Answer: 0.22 plates
Step-by-step explanation:
Given that The recipe calls for 23 cup of cheese for each plate of nachos
1 plate = 23 cups
X plate = 5 cups
Cross multiply
5 = 23x
Make the x the subject of formula
X = 5/23
X = 0.22
Or 5/23 plate