Answer:
Step-by-step explanation:
We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean
For the null hypothesis,
H0: µ ≤ 5.4
For the alternative hypothesis,
H1: µ > 5.4
This is a right tailed test
Since the population standard deviation is not given, the distribution is a student's t.
Since n = 48
Degrees of freedom, df = n - 1 = 48 - 1 = 47
t = (x - µ)/(s/√n)
Where
x = sample mean = 5.23
µ = population mean = 5.4
s = samples standard deviation = 0.56
t = (5.23 - 5.4)/(0.56/√48) = 2.1
We would determine the p value using the t test calculator. It becomes
p = 0.021
Since alpha, 0.01 < the p value, 0.021, then we would fail to reject the null hypothesis. Therefore, At a 1% level of significance, there is no significant evidence that the mean red blood cell count of each person is greater than 5.4 cells per microliter.
Since 5.4 is the upper limit, it means that result of the sample group is acceptable.
Question: Sara started her homework at 5:30 p.M. And finished it at 9:15 p.M. How much time did she take to finish her homework? [ 3 marks] Show your answer in 24 hour clock system. [ 2 marks]
Step-by-step explanation:
530pm = 17:50 in 24hr/military time
915pm = 21:15 in 24hr/military time
therefore..
24hr/military time. 21:15 - 17:50 = 3.65hr
our time. 3hr 45min
It took Sarah 3 hours and 45 minutes to finish her homework
The answer in 24 hour clock system is 3:45
The calculation can be done as follows
Sarah started her home work at 5:30 pm
She finished at 9:15pm
The time range here is 3 hours, 45 minutes
Please see the link below for more information
https://brainly.com/question/24991186?referrer=searchResults
its for 100 points Solve the chart save the picture and solve it please it going to save my life --- its first difference
The first column is found by plugging in the x values to get corresponding y values. For instance, if x = -5, then y is...
y = x^2+3x-18
y = (-5)^2+3(-5)-18
y = 25-15-18
y = 10-18
y = -8
So that explains how they got -8 in the second column, next to x = -5.
--------------
The column of first differences is found by subtracting the adjacent terms in the y column. The distance from y = -8 to y = -14 is 6 units, so we'll write 6 in the first row of the "first differences" column. The rest of the values of this column are filled out in a similar fashion. This means that you'll need to completely fill out the y column before you can move onto the "first differences" column.
--------------
The second differences is found by subtracting the adjacent first differences. You should find the results of this column are all the same value. This is true of any quadratic function.
One ordered pair (a,b) satisfies the two equations ab^4 = 384 and a^2 b^5 = 4608. What is the value of a in this ordered pair?
Answer: a = 3∛2
Step-by-step explanation:
ab⁴ = 384 --> a = 384/b⁴
Substitute a = 384/b⁴ into the second equation to solve for "b".
a²b⁵ = 4608
[tex]\bigg(\dfrac{384}{b^4}\bigg)^2\cdot b^5=4608\\\\\\\dfrac{147,456b^5}{b^8}=4608\\\\\\\dfrac{147,456}{b^3}=4608\\\\\\\dfrac{147,456}{4608}=b^3\\\\\\32=b^3\\\\\\\sqrt[3]{32} =b\\\\\\2\sqrt[3]{4} =b[/tex]
Substitute b = 2∛4 into the first equation to solve for "a".
ab⁴ = 384
a(2∛4)⁴ = 384
a = 384/(2∛4)⁴
a = 24/4∛4
= 6/∛4
= 6(∛2)/2
= 3∛2
What is the value of x in the equation 1/5x – 2/3y = 30, when y = 15?
Answer:
x = 200
Step-by-step explanation:
1/5x – 2/3y = 30
substitute in y
1/5x - 2/3(15) = 30
multiply
1/5x - 10 = 30
isolate the variable
1/5x = 40
multiply each side by 5
x = 200
Answer:
x = 200
Step-by-step explanation:
1/5x - 2/3y = 30
Put y as 15 and evaluate.
1/5x - 2/3(15) = 30
1/5x - 30/3 = 30
1/5x - 10 = 30
Add 10 on both sides.
1/5x = 40
Multiply both sides by 5.
x = 200
I need an asnwer Tutor and the answer to this question
Answer:
[tex] \dfrac{1}{a^6} [/tex]
Step-by-step explanation:
[tex] a^{-6}x^0 = [/tex]
[tex] = \dfrac{1}{a^6} \times 1 [/tex]
[tex] = \dfrac{1}{a^6} [/tex]
What is the difference of (Negative 3.4 x + 4.7) minus (3 + 2.9 x)
Answer:
The answer is
1.7 - 6.3xStep-by-step explanation:
- 3.4x + 4.7 - ( 3 + 2.9x)
Remove the bracket
That's
- 3.4x + 4.7 - 3 - 2.9x
Simplify
Group like terms
- 3.4x - 2.9x + 4.7 + 3
- 6.3x + 1.7
We have the final answer as
1.7 - 6.3xHope this helps you
Answer:
The answer is
1.7 - 6.3x
Step-by-step explanation:
kjihugyfvbjhiuyghnjkiohuygt7o89hub
Determine the equation for the given line in
slope-intercept form.
Oy=-5/3x-1
Oy= 5/3x+1
Oy= 3/5x+1
Oy=-3/5x+1
Answer:
Equation of a line is y = mx + c
where m is the slope
c is the y intercept
From the graph using points ( 5 , - 4) and
( -5 , 2)
Slope = 2+4/ -5 - 5= 6/-10 = - 3/5
Equation of the line using point (5,-4) is
y + 4 = -3/5(x - 5)
y = -3/5x + 3 - 4
y = -3/5x - 1
Hope this helps
What is the answer to (-9c)-4=-25
Answer:
c= 7/3
Step-by-step explanation:
To solve for c:
Simplify the equation by moving all numbers to one side and variables to the other
-9c-4=-25
-9c= -25+4
-9c=-21
Now isolate c by dividing both sides by its coefficient (-9)
c= -21/-9
Since the (-) cancel out, this simplifies to:
c= 21/9
Now reduce the fraction by dividing the right hand side by a common value of 3:
c= 7/3
Can someone please help me I really need help please help me
Answer:
≈ 18.87 cm²
Step-by-step explanation:
The shaded area is the difference between the area of the trapezium and the semicircle.
The area (A) of the trapezium is calculated as
A = [tex]\frac{1}{2}[/tex] h( a + b)
where h is the height and a, b the parallel bases
Here h = 4 ( radius of circle), a = 14 and b = 4 + 4 = 8, thus
A = [tex]\frac{1}{2}[/tex] × 4 × (14 + 8) = 2 × 22 = 44 cm²
area of semicircle = [tex]\frac{1}{2}[/tex]πr² = [tex]\frac{1}{2}[/tex]π × 4² = 8π cm²
Shaded area = 44 - 8π ≈ 18.87 cm² ( to 2 dec. places )
Answer:≈ 18.87 cm²
Step-by-step explanation:
Answer:
≈ 18.87 cm²
Step-by-step explanation:
The shaded area is the difference between the area of the trapezium and the semicircle.
The area (A) of the trapezium is calculated as
A = h( a + b)
where h is the height and a, b the parallel bases
Here h = 4 ( radius of circle), a = 14 and b = 4 + 4 = 8, thus
A = × 4 × (14 + 8) = 2 × 22 = 44 cm²
area of semicircle = πr² = π × 4² = 8π cm²
Shaded area = 44 - 8π ≈ 18.87 cm² ( to 2 dec. places
Find the number of rectangles in 6×6 chessboard.
Answer:
36
Step-by-step explanation:
quick maths
Answer:
36 rectangles
Step-by-step explanation:
Assuming that all you are asking for is the individual number of squares (not the number of squares and rectangles that can be made when combining the individual ones), the answer is 36.
We get this by multiplying the six squares on one side by the six on the other side. This allows us to calculate the total number! You can do this on a calculator or by hand.
However, if you would like the TOTAL number of rectangles that includes combining the individual ones, this chessboard would have 91 squares and 441 rectangles.
Which function increases at the fastest rate between x = 0 and x = 8? A 2-column table with 5 rows titled Linear Function with the equation f of x = 2 x + 2. The first column is labeled x with entries 0, 2, 4, 6, 8. The second column is labeled f of x with entries 2, 6, 10, 14, 18. A 2-column table with 5 rows titled Exponential Function with the equation f of x = 2 Superscript x Baseline + 2. The first column is labeled x with entries 0, 2, 4, 6, 8. The second column is labeled f of x with entries 3, 6, 18, 66, 258. A 2-column table with 5 rows titled Quadratic Function with the equation f of x = 2 x squared + 2. The first column is labeled x with entries 0, 2, 4, 6, 8. The second column is labeled f of x with entries 2, 10, 34, 74, 130. A 2-column table with 5 rows titled Linear Function with the equation f of x = 3 x + 2. The first column is labeled x with entries 0, 2, 4, 6, 8. The second column is labeled f of x with entries 2, 8, 14, 20, 26.
Answer:
The correct option is;
Exponential function 2ˣ + 2
x = 0, 2, 4, 6, 8
f(x) = 3, 6, 18, 66, 258
Step-by-step explanation:
The given functions are;
f(x) = 2x + 2
x = 0, 2, 4, 6, 8
f(x) = 2, 6, 10, 14, 18
f(x) = 2ˣ + 2
x = 0, 2, 4, 6, 8
f(x) = 3, 6, 18, 66, 258
f(x) = 2·x² + 2
x = 0, 2, 4, 6, 8
f(x) = 2, 10, 34, 74, 130
f(x) = 3·x + 2
x = 0, 2, 4, 6, 8
f(x) = 2, 8, 14, 20, 26
By comparison, the function that increases at the fastest rate between x = 0 and x = 8 is Exponential function 2ˣ + 2
Answer: The answer is B on edg
Step-by-step explanation:
A symbol used to represent an unkown value in an expression or an equation is called
Answer:
Variable
Step-by-step explanation:
A variable is a letter or symbol used as a placeholder for an unknown value in an expression or equation.
Hope this helps..
Good Luck!
Answer:
variable
Step-by-step explanation:
A symbol use to represent an unknown value in an expression or an equation is called a variable.
The value of x must be greater than
B
12
0
O 1
А
15
O 3
O 7
Answer:
x > 3
Step-by-step explanation:
Given 2 sides of a triangle then the third side x will be
difference of sides < x < sum of sides , that is
15 - 12 < x < 15 + 12, so
3 < x < 27
Thus x > 3
Answer:
C. 3
Step-by-step explanation:
x > 3
Ed 2020
Find the sum or difference.
81-3
3
Answer:
48
Step-by-step explanation:
81 - 33 = 48
Answer:
48
Step-by-step explanation:
81 - 33 = 48
Do 81 - 30 first = 51
Then do 51 - 3 = 48
suppose there is a right angled triangle it's hypotenuse is x cm its opposite side is 5cm cos(60) is 0.5 find x cm
Answer:
Hypotenuse = 10 cm
Step-by-step explanation:
Given:
Hypotenuse = x cm
Base side = 5 cm
Cos(60) = 0.5
Find:
Hypotenuse = x cm
Computation:
Cos(60) = Base side / Hypotenuse
0.5 = 5 cm / Hypotenuse
Hypotenuse = 5 / 0.5
Hypotenuse = 10 cm
The probability of choosing an apple-flavored juice box out of the refrigerator without looking is 1. Which term best describes this probability?
Answer:
Certain.
Step-by-step explanation:
When the probability of choosing an apple-flavored juice box without looking is 1, that means you have a 100% chance of getting it. There's no way you can miss, so it is certain.
Hope this helps!
Answer:
certain
Step-by-step explanation:
since the outcome is a 100% the answer is certain
Geometry, Inverse Trigonometry Find the measure of the indicated angle to the nearest degree
Answer:
? = 44 degrees
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp side/ adjacent side
tan ? = 46/48
Take the inverse tan of each side
tan ^-1 ( tan ?) = tan ^ -1 ( 46/48)
? = 43.78112476
To the nearest degree
? = 44 degrees
Given: DB= DB and EB & CB
Prove: D=A
We have proven that ∠D ≅ ∠A as shown below
Proof of anglesFrom the question, we are to complete the proof
Statements Reasons
AB ≅ DB 1. Given
1. EB ≅ CB
2. ∠ ABC ≅ ∠DBE 2. Congruent postulate
3. ΔABC ~ ΔDBE 3. Side-angle-side postulate
4. ∠D ≅ ∠A 4. CPCTC (Corresponding parts of
congruent triangles are congruent.)
Hence, we have proven that ∠D ≅ ∠A
Learn more on Proof of angles here: https://brainly.com/question/11673033
#SPJ1
Represent 1/3 and 5/2 on the same number line.
Step-by-step explanation:
1/3 and 5/2 can be shown as:
1/3= 3/6 5/2= 15/6points with 1/6 interval on the number line:
0, 1/6, 2/6, 3/6, 4/6, ..., 15/6
what is the simplified form of this expression 7(^3sqrt2x)-3(^3sqrt16x)-3(^3sqrt8x)
Answer:
[tex]7 \sqrt[3]{2x} - 6 \sqrt[3]{2x} - 6x[/tex]Solution,
[tex]7( \sqrt[3]{2x} ) - 3( \sqrt[3]{16x} ) - 3( \sqrt[3]{8x} ) \\ = 7 \sqrt[3]{2x} - 3 \times ( \sqrt[3]{2 \times 2 \times 2 \times 2x} - 3 \times \sqrt[3]{2 \times 2 \times 2x} \\ = 7 \sqrt[3]{2x} - 3 \times (2 \sqrt[3]{2} x) - 3 \times 2x \\ = 7 \sqrt[3]{2x} - 3 \times 2 \times \sqrt[3]{2x} - 3 \times 2x \\ = 7 \sqrt[3]{2x} - 6 \sqrt[3]{2x} - 6x[/tex]
Hope this helps...
Good luck on your assignment...
Kayla is going on a trip. The mass of everything she is packing is 8.7 kg. She packs everything into a bag that has a mass when empty of 660 g. What is the total mass of the bag and its contents? Give your answer in kg
Answer:
9.36kg
Step-by-step explanation:
Given That:
Mass of her Packages = 8.7 kg
Mass of bag = 660g = 0.66 kg
Total Mass = ?
To find the total mass, add the 2 weight together :"
8.7 + 0.66 = 9.36kg.
Hope this helps.
Good Luck
Answer:
Mass of the things=8.7kg
Mass of the bag=660g=0.66kg
Total mass=mass of the bag+mass of the things
Total mass=8.7kg+0.66kg
Total mass=9.36kg≈9kg
Step-by-step explanation:
i hope this will help you :)
Find the value of x and EF. A and B are midpoints.
Answer:
x = 5.5
EF = 14
Step-by-step explanation:
We can use ratios to solve
AG 7
----------- = -----------------
EG 2x+3
We know that EG is 2 times AG since A is the midpoint
AG 7
----------- = -----------------
2 AG 2x+3
Canceling like terms
1 7
----------- = -----------------
2 2x+3
Using cross products
1 (2x+3) = 2*7
2x+3 = 14
Subtract 3 from each side
2x+3-3 = 14-3
2x =11
Divide by 2
x = 11/2
x = 5.5
EF = 2x+3 = 2*5.5+3 = 14
I need help I’m very confused with this question
Answer:
Option 1
Step-by-step explanation:
=> [tex]x^2-4x+2 = 10[/tex]
Adding 2 to both sides to complete the square
=> [tex]x^2-4x+4 = 12[/tex]
Completing the square
=> [tex](x-2)^2= 12[/tex]
Answer:
Step-by-step explanation:
exact form:
x=+2\sqrt(3+2)
decimal form:
x=5.46410161
A local theater company is presenting a musical for kids at the community center. Each adult ticket costs $8, and each child ticket
costs $4. On the opening night, the theater company needs to earn at least $1,280 from ticket sales to cover its costs. The communi
center has a capacity of 240 people.
If the solution region represents the number of adult and child tickets that needs to be sold for the theater company to cover its cost
determine which graph represents the solution set to the system of inequalities representing this situation.
Answer:
Option (1)
Step-by-step explanation:
Let the number of adult tickets sold = x
And the number of child tickets sold = y
Cost of adult tickets sold = $8x
And the cost of child tickets sold = $4y
If the theater company needs to earn at least $1280,
8x + 4y ≥ 1280
2x + y ≥ 320 ---------(1)
Since community center has a capacity of 240 people,
x + y ≤ 240 ----------(2)
By graphing these inequalities with the help of a graphing tool,
Shaded area above the solid line will be represented by inequality (1) (red line)
And the shaded area below the line will be the represented by inequality (2) (blue line)
Common area of both the shaded regions will represent the solution area .
Option (1) will be the answer.
Factor the polynomials, show your work. -3x^4 - 9x³ + 15x²; 3x² - 18x + 24; 2x² + 17x + 21; 3x² - 17x + 10; x² - 81; 4x² - 25b²; x² + 14x + 49; x² - 16x + 64 Thank you so much, I know its kind of a lot!
Answer:
hello : here is an solution
Step-by-step explanation:
A catering company uses different functions to estimate the itemized costs for a party. The table below represents the included tip for wait staff as a function of the number of guests served. A table showing Catering Cost for Wait Staff Gratuity with two columns and 6 rows. The first column has, Number of Guests, and has the entries, 10, 20, 30, 40, 50. The second column, Wait Staff Tip, has the entries, $18, $36, $54, $72, $90. If the tip varies directly with the number of guests, which equation represents the relationship between the tip, t, and the number of guests, g?
Answer:
Step-by-step explanation:
If the tip varies directly with the number of guests, it means that an increase in the amount of tip would be as a result of an increase in the number of guests and a decrease in the amount of tip would be as a result of an decrease in the number of guests.
If we introduce a constant of proportionality, k , the relationship would be
t = kg
Given that
When t = 18, g = 10, then
18 = k × 10
k = 18/10 = 1.8
Therefore, the equation representing the relationship is
t = 1.8g
Answer:
answer is a
Step-by-step explanation:
Hi please help meeee
An experiment consists of tossing 3 coins at the same time.
1. Identify the sample space.
2. What is the probability of tossing 2 tails and 1 head?
3. Which is more likely to occur: tossing exactly 1 tail or tossing at least 2 heads? Explain.
Answer:
Answers are below
Step-by-step explanation:
1. List all possible outcomes
HHH HHT HTH HTT TTT THH THT TTH
2. The probability of tossing 2 tails and 1 head is 3/8.
3. The probability of getting exactly 1 tail is 3/8. The probability of tossing at least 2 heads is 4/8 or 1/2. There is a greater chance of tossing at least 2 heads than tossing exactly 1 tail.
Answer:[tex]\color{yellow}{}[/tex]
1. List all possible outcome
HHH HHT HTH HTT TTT THH THT TTH
2. The probability of tossing 2 tails and 1 head is 3/8
3. The probability of getting exactly 1 tail is 3/8. The probability of tossing at least 2 heads is 4/8 or 1/2. There is a greater chance of tossing at least 2 heads than tossing exactly 2 tail.
Which of the following decimals is equivalent to 6%? A. 600 B. 6 C. 0.6 D. 0.06
Answer:
D
Step-by-step explanation:
what is the term to term rule for the sequence: 5 10 20 40 80 PLEASE HELP ITS URGENT
In the sequence 5,10,20,40,80.. I can see that it is doubled each time.
Doubling 5 is 10, doubling 10 is 20, doubling 20 is 40, and doubling 40 is 80.
Good luck! Stay safe!
- Eli <3
The histogram shows the number of miles drive by a sample of automobiles in New York City. Which is a reasonable explanation for the large gap in the histogram?
Answer:
The gap in the histogram simply means that: out of all the automobiles sampled, there were none with number of miles driven between 17,500 miles and 32,500 miles.
Step-by-step explanation:
The histogram in question is missing from the question. It was obtained online and is attached to this solution.
A histogram is a chart that represents numerical data using bars. The dataset is split into intervals, each interval is represented by a bar, and the number of variables in each interval makes up the frequency for that interval.
If the bars are of equal width, the height of each bar corresponds to the frequency of the interval represented by that bar. If not, the frequency is given by the area of each bar (this is the major difference between a Bar chart and a histogram).
For this question, the histogram shows the number of miles driven by a sample of automobiles in New York City, the frequency of automobiles in each interval of miles driven is presented on the y or vertical axis and the miles driven is shown on the x-axis.
It is clear that 50 automobiles are in this sample and the class width of each interval of miles driven is 5000 miles.
So, the gap in between this histogram between the interval just after 17500 miles driven and just before 32500 miles driven simply means that none of the automobiles sampled had number of miles driven within this range.
Hope this Helps!!!