Answer:
Step-by-step explanation:
Using the formula for calculating confidence interval
CI = xbar±z×S/√n
xbar is the mean of the sample
z is the z score at 90% = 1.645
S is the standard deviation of the score
n is the sample size = 26
Since we are not given the scores, we can assume the values of our mean and standard Deviation
Let xbar = 38
S = 3.0
Substitute the given values into the formula
CI = 38±(1.645×3.0/√26)
CI = 38±(1.645×3.0/5.099)
CI = 38±(1.645×0.5884)
CI = 38±0.9678
CI = (38-0.9678, 38+0.9678)
CI = (38.0322, 38.9678)
CI = (38.0, 38.9)
Hence the 90% confidence interval for the true mean of statistics exam scores is 38.0≤p≤38.9
Note that the we will need to generate the mean and standard deviation from the data but since we are not given the required data, we had to assume the value we used in calculation.
please can you help. i would really appreciate it
Answer:
The integers that satisfy both inequalities are any number between -4.5 and -12
Step-by-step explanation:
Hope this helps and pls do mark me brainliest if you can:)
The freshman spirit club took a trip to the state fair .There were 59 students and 6 chaperones, and the total admission cost for the group was 508$.Student tickets cost 2$ more than the chaperone tickets.Write an equation to represent the cost of a student ticket
Answer:
Step-by-step explanation:
First you determine the variables x and y as:
x: the value for student tickets
y: the value for chaperone tickets.
Knowing that student tickets cost $ 2 more than companion tickets, it is represented by the equation:
x= y +2
On the other hand, there were 59 students and 6 companions. And the total cost of admission for the group was $ 508, that is to say that what all the students and the companions have paid adds up to $ 508. Expressed by an equation:
59x + 6y = 508
Then the system of equations to solve and thus obtain the price of a student ticket and the price of a companion ticket is:
[tex]\left \{ {{x=y+2} \atop {59x+6y=508}} \right.[/tex]
Solving for x, the price of a student ticket:
Rearranging the first equation,
y = x - 2
Replacing in the second equation and solving for x:
59*x + 6*(x -2)=508
59*x + 6*x -12=508
65*x -12=508
65*x= 508 +12
65*x= 520
[tex]x=\frac{520}{65}[/tex]
x=8
The cost of a student ticket is 8$
Three girls cut out decimal models of hundredths. Amber doesn't shade any of her models. Grace qualifies three fifths of a model. Marsha shades one model and seven-tenths of another model. What decimal represents the number of shadows of each girl? Click on the icon to view the decimal models of hundredths. The decimal represents the number of shades of amber. The decimal represents the quantity that represents the quantity that Marsha qualifies. Tones of grace. The decimal (write whole numbers or decimals).
Answer:
[tex]Amber = 0[/tex]
[tex]Grace = 0.60[/tex]
[tex]Marsha =1.70[/tex]
Step-by-step explanation:
Given
Decimal Grid = Hundredths
[tex]Amber = None[/tex]
[tex]Grace = \frac{3}{5}th[/tex]
[tex]Marsha = 1 + \frac{7}{10}th[/tex]
To solve for each:
We have:
For Amber:
[tex]Amber = 0 * 100[/tex]
[tex]Amber = 0[/tex]
For Grace:
[tex]Grace = \frac{3}{5}th[/tex]
[tex]Grace = \frac{3}{5} * 100[/tex]
[tex]Grace = \frac{300}{5}[/tex]
[tex]Grace = 60[/tex]
This means that Grace shaded 60 of the hundredth models.
Decimal shaded is:
[tex]Grace = 60 * \frac{1}{100}[/tex]
[tex]Grace =\frac{60}{100}[/tex]
[tex]Grace = 0.60[/tex]
For Marsha:
[tex]Marsha = 1 + \frac{7}{10}th[/tex]
[tex]Marsha = \frac{10 + 7}{10}th[/tex]
[tex]Marsha = \frac{17}{10}th[/tex]
[tex]Marsha = 1.7th[/tex]
Multiply this by 100, to get the number of shaded
[tex]Marsha = 1.7 * 100[/tex]
[tex]Marsha = 170[/tex]
This means that Marsha shaded 170 of the hundredth models.
Decimal shaded is:
[tex]Marsha = \frac{170}{100}[/tex]
[tex]Marsha =1.70[/tex]
Bennett has been practicing the cello for an hour each day. 3/4of the hour, he spends practicing musical pieces in preparation for his upcoming orchestra concert. He spends the other 1/4of the hour practicing scales. If he spends 2/5of his practice time on musical pieces playing one of the orchestra pieces, Excerpts from Pirates of the Caribbean, how much of the hour does he spend playing that music?
Answer:
[tex]Orchestral\ Time = \frac{3}{10}\ hour[/tex]
Step-by-step explanation:
Given
[tex]Time = 1\ hour[/tex]
[tex]Musical\ Pieces = \frac{3}{4}\ hour[/tex]
[tex]Practicing\ Sales = \frac{1}{4}\ hour[/tex]
Orchestral = [tex]\frac{2}{5}[/tex] of music practice time
Required
Determine time spent on orchestral pieces
From the given parameters, we have:
Orchestral = [tex]\frac{2}{5}[/tex] of music practice time
Substitute [tex]\frac{3}{4}\ hour[/tex] for music practice time.
So, we have:
[tex]Orchestral\ Time = \frac{2}{5} * \frac{3}{4}\ hour[/tex]
[tex]Orchestral\ Time = \frac{1}{5} * \frac{3}{2}\ hour[/tex]
[tex]Orchestral\ Time = \frac{3}{10}\ hour[/tex]
Find the measure of the "?" or "X". Explain or show your
Answer:
66⁰ + x = 111⁰
x = 111⁰ - 66⁰
x = 45⁰
Answer:
First, I am taking the interior angle E as 'y' to be able to use the angle sum property to find 'x'.
So we can find 'y' by using 'linear pair'.
So Exterior angle 'E'+y=180 Degree.
= 111+y=180
By transposing: y=180-11
And y= 69 degrees.
And now have angles y & 'Angle G' we can use Angle sum property to find 'x'
ACCORDING TO ANFLE SUM PROPERTY OF TRIANGLE: "THE SUM OF ALL THE ANGLES OF A TRIANGLE IS 180 DEGREE"THEREFOR, y+x+angle G=180 degrees.
= 69 degrees+66 degrees+x=180 degrees
= 135 degrees+x=180 degrees
by transposing,
x= 180 degrees-135 degrees
And, x= 45 degrees
ANOTHER METHOD:BY USING EXTERIOR ANGLE PROPERTY.
ACCORDING TO EXTERIOR ANGLE PROPERTY OF TRIANGLE: "An exterior angle of a triangle is equal to the sum of its interior opposite angles"
So, Exterior Angle E= x+ Angle G
= 111 degrees= x+ 66 degrees
By transposing, x= 111 degrees-66 degrees
= x=45 degrees.
So no matter whichever method is used, the value of x= 45 degrees.
if the sides of a rectangle are 12 and 15, then the diagonal is
Answer:3x41 squared
Step-by-step explanation:
Round 23,487 to the nearest ten. PLEASE HELP I WILL BRAINEST ASAP
Answer:
23,490
Step-by-step explanation:
Given y = -7x + 7, the y-intercept is
Answer:
The y-intercept is 7
Step-by-step explanation:
y = slope(x) + y-intercept
plz i need help -8 = p -5
4
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*30 POINTS!*
Determine if each equation represents the graph below. Choose ALL correct equations. You will select more than one answer.
The options are:
1. y= 2x-1
2. x-2y =2
3. y= 1/2x - 1
4. y+3 = 1/2 (x+4)
5. y-2= 1/2 (x-2)
Answer:
2, 3 and 4 represent the graph in the pic
Step-by-step explanation:
When you look at the graph, you can immediately tell the gradient and the y-intercept. The gradient is 1/2 and the y-intercept is -1
Hence the graph in the picture follows the formula: y = 1/2x - 1
When you expand/rearrange the options (1-5) into the slope form you would be able to see which of these options matches with the formula of the line.
1. y= 2x-1: Isn't the same as the equation of the line in the pic
2. Rearrange:
-2y = -x + 2 (divide both sides by 2)
y = x/2 - 1 (x/2 = 1/2x, its the same thing)
3. y= 1/2x - 1 (this is the formula of the line)
4. Expand right-hand-side:
y + 3 = 1/2x + 2 (rearrange)
y = 1/2x - 1 (this is the formula of the line)
5. Expand right-hand-side
y - 2 = 1/2x - 1 (rearrange)
y = 1/2x + 1 (is not the formula of the equation)
Answer:
The officeStep-by-step explanation:
“Would I rather be feared or loved? Easy. Both. I want people to be afraid of how much they love me.” – Michael G. Scott
hich statements are true? Check all that apply. Negative 2.5 = negative 2 and one-half –1.5 > –0.5 –0.5 < 0 –2.5 < –2 1 and one-half greater-than 1.5
Answer:
Negative 2.5= negative 2 and one-half, -0.5<0, -2.5 < -2.
Step-by-step explanation:
Put the words in numbers and symbols first and separate the sentence
Answer:
A C D
Step-by-step explanation:
Trust me on this I got it correct.
Find the distance between the two points in simplest radical form.
(-1,0) and (5, -8)
Answer:
10
Step-by-step explanation:
Given coordinates:
(-1,0) and (5, -8)
Unknown:
Distance between the two endpoints = ?
Solution:
(-1,0) and (5, -8)
The equation for solving this problem is shown below;
Distance = [tex]\sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1} )^{2} }[/tex]
x₁ = -1 y₁ = 0
x₂ = 5 y₂ = -8
Distance = [tex]\sqrt{[(5-(-1)]^{2} + (-8 - 0)^{2} } }[/tex] = [tex]\sqrt{36 + 64}[/tex] = 10
The distance between the two points is 10.
The lengths of salamanders have a normal distribution with mean 15cm, and standard deviation 2cm. What is the probability a salamander has length between 12.2cm and 16.5cm
Answer:
The probability a salamander has a length between 12.2cm and 16.5cm is 0.6930
Step-by-step explanation:
We start by finding the z-score of each
Mathematically;
z-score = (x - mean)/SD
for 12.2 cm
z-score = (12.2 - 15)/2 = -2.8/2 = -1.4
For 16.5 cm
z-score = (16.5 -15)/2 = 1.5/2 = 0.75
So the probability we want to calculate is;
P( -1.4 < z < 0.75)
we can calculate this using the normal distribution table
Mathematically;
P( -1.4 < z < 0.75) = P( z < 0.75) - P( z < -1.4)
= 0.2263 + 0.30738
= 0.69262
i need some help with this question
Answer:
(7w + 9x)(7w - 9x)
Step-by-step explanation:
Given expression;
49w² - 81x²
Now to solve the problem;
49w² - 81x² = 7²w² - 9²x²
Using differences of two squares;
x² - y² = (x + y)(x - y)
So;
7²w² - 9²x² = (7w + 9x)(7w - 9x)
20 POINTS AND BRAINLIEST What is the value of x in this equation?
6x - 4(x - 9) = 2(3 - x)
Enter your response here:
Only 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, ., -, and / are allowed in your answer.
Answers that are mixed numbers must be entered as an improper fraction or a decimal.
Answer:
x = -15/2 or -7.5
Step-by-step explanation:
6x - 4(x - 9) = 2(3 - x)
6x - 4x + 36 = 6 - 2x
2x + 36 = 6 - 2x
4x + 36 = 6
4x = -30
x = -30/4
x = -15/2
Check:
6(-7.5) + -4(-7.5 - 9) = 2(3 + 7.5)
-45 + 66 = 2(10.5)
21 = 21
Answer:
[tex]-\frac{15}{2}[/tex]
Step-by-step explanation:
6x-4(x-9)=2(3-x)
6x-4x+36=6-2x (expansion)
2x+36=6-2x (collecting like terms)
2x+2x=6-36
4x=-30 (-30/4)
x=-[tex]-\frac{15}{2}[/tex]
Grace and Hannah are both driving along the same highway in two different cars to a stadium in a distant city. At noon, Grace is 250 miles away from the stadium and Hannah is 306 miles away from the stadium. Grace is driving along the highway at a speed of 40 miles per hour and Hannah is driving at speed of 54 miles per hour. Let GG represent Grace's distance, in miles, away from the stadium tt hours after noon. Let HH represent Hannah's distance, in miles, away from the stadium tt hours after noon. Write an equation for each situation, in terms of t,t, and determine the number hours after noon, t,t, when Grace and Hannah are the same distance from the stadium.
Answer:
Step-by-step explanation:
Grace: -40t+250
Hannah: -54t+306
-40t+250 = -54t+306
SOLVE THE EQUATION ABOVE
t=4
The total number of hours afternoon when Grace and Hannah are the same distance from the stadium is 4 and this can be determined by forming the linear equations.
Given :
Grace is 250 miles away from the stadium and Hannah is 306 miles away from the stadium. Grace is driving along the highway at a speed of 40 miles per hour and Hannah is driving at speed of 54 miles per hour.The following steps can be used in order to determine the number of hours afternoon when Grace and Hannah are the same distance from the stadium:
Step 1 - According to the given data, 'G' represents Grace's distance, in miles, away from the stadium and 'H' represents Hannah's distance, in miles, away from the stadium.
Step 2 - The linear equation that represents Grace's distance from the stadium is:
[tex]G = 250-40t[/tex]
Step 3 - The linear equation that represents Hannah's distance from the stadium is:
[tex]H = 306 - 54t[/tex]
Step 4 - The value of 't' when Grace and Hannah are the same distance from the stadium is:
[tex]306-54t = 250-40t[/tex]
Step 5 - Simplify the above expression.
[tex]56=14t[/tex]
[tex]\rm t = 4\;hr[/tex]
So, the total number of hours afternoon when Grace and Hannah are the same distance from the stadium is 4.
For more information, refer to the link given below:
https://brainly.com/question/11897796
Which equation represents the graphed function?
A. -3x+2=y
B. -2/3x+2=y
C. 3/2x-3=y
D. 2x-3=y
Plz help me I am taking the unit test on edge
Answer:
try c, i took the test as well its either that or b
Step-by-step explanation:
Answer:
I'm pretty sure the answer is D
a group of hikers begin in an elevation of -29 feet below sea level. they travel up a mountain side until they were on an elevation of 245 feet abos sea level. what was the total change in elevation for the hikers?
Answer:
-28
Step-by-step explanation:
Dorothy is buying chips at the grocery store. She needs to decide between Erik´s chips that are $3.84 for a 12 oz. bag and Al´s chips for $3.57 for a 8.5 oz. bag. Which chips are the better buy and by how much?
Answer:
Erik's chips are a better buy by 10 cents per ounce
Step-by-step explanation:
Erik's chips cost by ounce: $0.32
Al's chips cost by ounce: $0.42
Sorry if this didn't help. This is my first answer
please someone help quick
Answer:
J
Step-by-step explanation:
dude trust me
For addition, drag tiles onto the board.
To form a group, place one tile on top of another.
-5(-2) =
Answer:
I think the answer you are looking for is 10.
Step-by-step explanation:
-5 x -2 = 10
(5x+2x^2-3)-(6+x^2-8x)
Answer:
13x + x^2 - 9
Step-by-step explanation:
You have to distribute then eliminate redundant parentheses then subtract the numbers then combine like terms then multiply by one then combine like terms and then the answer is 1 13x + x^2 - 9.
Which graph represents an exponential growth function? On a coordinate plane, a line rapidly decreases and then levels off. On a coordinate plane, a line increases gradually. On a coordinate plane, a line decreases gradually. On a coordinate plane, a line is level and then curves upwards rapidly.
The answer is On a coordinate plane, a line is lever and then curves upwards rapidly (D).
The graph that represents an exponential growth function is (d) on a coordinate plane, a line is level and then curves upwards rapidly.
What are exponential functions?Exponential functions are functions that are defined as [tex]y = ab^x[/tex]
Where:
b represents the ratea represents the initial valueAssume that a has positive value, and the b is greater than 1.
Then it means that, the function is an exponential growth function.
An exponential growth function that has a positive initial value will start with a level line, then curve up
Hence, the graph that represents an exponential growth function is (d)
Read more about exponential growth function at:
https://brainly.com/question/13223520
simply the following (z⁵)²
Answer:
Z^10
Step-by-step explanation:
Answer:
multiply 5*2=10
your answer will be =z^10
Step-by-step explanation:
How many miles could Katya go if she filled her 22-gallon tank? Show your math
work
Answer:
that all depends on the car mileage, say she gets 20 mpg itd be 20x22
Consider the equation 3x+10=2x+10. Does this equation have one solution, infinitely many solutions, or no solutions? Explain your answer.
Answer:
One solution: x = 0
Step-by-step explanation:
Starting with 3x+10=2x+10,
subtract 2x from both sides. We get x + 10 = 10, or x = 0. This equation has ONE solution, x = 0.
Sam travel 20 miles in three hours. Sam walked part of the distance at a speed of 4 mph. Sam rode his bicycle for the remaining distance at a speed of 12 mph. How many hours did Sam spend walking? How many hours did Sam spend biking?
Answer:
Sam sokey 0.5 hours biking and 3.5 hours walking
Step-by-step explanation:
Here, we want to know the number of hours spent walking and biking
Mathematically; distance = speed * time
Let the number of hours spent walking be x and the number of hours spent biking be y
Mathematically;
x + y = 3 •••(i)
distance spent walking = 4 * x = 4x miles
distance spent biking = 12 * y = 12y miles
4x + 12y = 20
divide through by 2
2x + 6y = 10 ••••••(ii)
From i , x = 4-y
Substitute this into ii
2(4-y) + 6y = 10
8 - 2y + 6y = 10
8 + 4y = 10
4y = 10-8
4y = 2
y = 2/4 = 0.5 hours
The number of hours spent walking = 4-0.5 = 3.5 hours
PLSSSS HELP can someone show me how would this look on a graph f(x)=−3[x+2] I need all the points
Answer:
hope this helps :)
Step-by-step explanation:
What is the equation of the line ? and how do i know ?
Answer:
The equation of the line is y=-16x+7
Step-by-step explanation:
I am not totally sure if that is what you meant by the equation of the line but that is my answer. I can change it if you are more specific.
Anyways, you need to find the slope because you already know the y-intercept, 7.
Slope=rise/run between two pretty points( A point that lines up on the grid)
So you must go from the bottom point and count how ever many are separating the two points. It turned out to be 16 and since the line is going down it is a negative. You then plug the numbers into the slope intercept form and that is your answer.
What is the midpoint of the line segment with endpoints at (-6, 3) and (-10, 7)?
A(-8,5)
B(-16, 10)
C (2,-2)
D (4,-4)
Choose
Answer:
A(-8,5)
Step-by-step explanation:
Given two points (-6, 3), and (-10, 7). The midpoint is calculated by averaging the x, and y values of two coordinates. As (-10, 7) is the the first point (x1, y1), and (-6, 3) is the second point (x2, y2).
[tex]midpoint \: of \: (x_{1},y_{1}), \: and \: (x_{2},y_{2}) \\ = (\frac{x_{1} + x_{2}}{2}, \frac{y_{1} + y_{2}}{2})[/tex]
[tex] midpoint \: of \: (-6,3), \: and \: (-10,7) = (\frac{-10 + -6}{2}, \frac{7 + 3}{2}) \: = (\frac{-16}{2}, \frac{10}{2}) \: = (-8,5)[/tex]