Answer:
The calculated value t = 0.452< 2.2621 at 0.05 level of significance
null hypothesis is accepted
Based on the sample, can it be concluded that μ is not different from 45 centimeters
Step-by-step explanation:
Step( i ):-
Heights were measured for a random sample of 10 plants
Size of the sample 'n' = 10
Mean of the sample (x⁻ ) = 46 centimeters
Standard deviation of the sample (s) = 7 centimeters
Mean of the Population ( μ ) = 45
Step(ii):-
Null Hypothesis :H₀:( μ ) = 45
Alternative Hypothesis : H₁: μ ) ≠ 45
Test statistic
[tex]t = \frac{x^{-}-mean }{\frac{S}{\sqrt{n} } }[/tex]
[tex]t = \frac{46-45}{\frac{7}{\sqrt{10} } }[/tex]
t = 0.452
Degrees of freedom
γ = n-1 = 10 -1 = 9
t₀.₀₅ = 2.2621
The calculated value t = 0.452< 2.2621 at 0.05 level of significance
null hypothesis is accepted
Based on the sample, can it be concluded that μ is not different from 45 centimeters
Please help ASAP. What is the value of x
Answer: X = 2
Step-by-step explanation:
first to help gets brainliest
In a circle with radius 2, an angle measuring pi/3 radians intercepts an arc. Find the
length of the arc in simplest form.
Answer:
2pi/3
Step-by-step explanation:
Using the formula s = r(theta), where s is arc length, r is radius, and theta is the central angle,
s = 2(pi/3)
s = 2pi/3
Kiley had a piece of bamboo skewer that measured 14Three-fifths inches long. She wanted to cut it into toothpicks that were each 3One-fifth inches long. How many toothpicks can she make?
Answer:
69
Step-by-step explanation:
The table shows the outputs y, for different inputs ,x
Input x: 3,7,11,15
Output y: 4,6,8,10
Part A: Do the data in this table represent a function? Justify your answer.
Part B: Compare the data in the table with the relation f(x) = 5x-21. Which relation has a greater value when x=11
Part C: Using the relation in part b, what is the value of x if f(x) =99
Part A: Yes, the data represent a function. The definition of a function is a relation in which no value of x will have two different values of y.
(Every time you plug in 3 as x, you will always get 4 as y; it's ok if you plug in 3 and 5 as x and get the same y, you just can't get two different y's for one x; sorry, it is pretty confusing). None of the numbers in the table repeat, so we can safely say that the relation is a function.
Part B: All we have to do is plug in 11 for x in the function given to find the answer:
In the table, y = 8 when x = 11, but in the function given, y = 34 when x = 11, so the function given is greater.
Part C: To find the answer to C, just plug in 99 for f(x), as it tells you to do:
The expression -7y is a _____. pls answer quickly i'm giving 40 for an answer.
variable
term
constant
Answer: Term
In math, a "term" is another word for "monomial".
If you add a bunch of monomials (or terms) together, you get a polynomial.
Nicole is trying to make extra money on her summer vacation from school. She works two different jobs, earning $19 per hour lifeguarding and $8 per hour landscaping, How much money would Nicole earn in a week in which she worked 2 hours lifeguarding and 4 hours landscaping? How much money would Nicole earn in a week in which she worked 2 hours lifeguarding and y hours landscaping?
Answer:
This would mean Makayla worked a total of 15 hours and made $264. Which meets her requirements.
Step-by-step explanation:
{(1,2), (2,4), (1,-3), (4,6)}
<
Is the relation a function? [Select ]
State the domain. [Select]
State the
range.
[ Select]
Answer:
That is not a function ( because of the repeating number which is the 1.)
Domain: 1,2,4
Range:2,4,-3,6
Answer:
domain first no.before comma
1 2 1 4
range send no. after comma
2 4 -3 6
Six times a number plus twice a second number is four. Twice the first number plus four times the second number is 18. Find the numbers.
Answer:
Step-by-step explanation:
equation 1. 6a + 2b = 14 ( times this equation by -2)
equation 2. 2a + 4b = 18
equation 1 becomes -12a - 4b = -28
equation 2. remains. 2a + 4b = 18
Cancel out the b’s
-10 a = -10 (Divide both sides by -10)
a = 1
substitute 1 for a to find b
i think your numbers in the problem you gave is not accurate though
please check it again
b = 4
Can Someone Evaluate This Please
Answer:
6
Step-by-step explanation:
[tex] {4}^{2} - (x + 8)[/tex]
[tex] {4}^{2} - (2 + 8)[/tex]
[tex] {4}^{2} - 10[/tex]
[tex]4 \times 4 - 10[/tex]
[tex]16 - 10[/tex]
[tex] = 6[/tex]
5 note books cost $20. At this rate, how much how much would 2 note books cost?
Answer:20
Step-by-step explanation:
each on costs 10$
Answer: 8 dollar
Step-by-step explanation:
5 notebook = 20$
So if we divide 20/5 = 4
Which is the cost per notebook
So if 1 notebook = 4$
2 notebook = 8$
Simplify ratio 10 :200
Answer:
Step-by-step explanation:
10 : 200
Both have table of 10 in common
1 : 20
if you can answer this question right ill mark you brainiest thanks
А
Learning Task 4 : Do the following in your notebook.
A. Find the equation of the line given the graph.
Answer:
Question 3: y =x+2
Step-by-step explanation:
to find the equation use y=mx+c where m is the gradient/slope and c is the y intercept. In example 3, the y intercept is 2 so thats why the equation ends in +2, and the slope which is calculated by rise over run, is 2 over 2, or 1 so x doesnt need a coefficient.
by rounding each number to 1sf estimate the answers to 8.2*6.7/ 0.46
Answer:
Please check the explanation.
Step-by-step explanation:
Given the function
[tex]8.2\times \frac{6.7}{0.46}[/tex]
[tex]\mathrm{Multiply\:fractions}:\quad \:a\times \frac{b}{c}=\frac{a\:\times \:b}{c}[/tex]
[tex]=\frac{6.7\times \:8.2}{0.46}[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:6.7\times \:8.2=54.94[/tex]
[tex]=\frac{54.94}{0.46}[/tex]
[tex]=100[/tex] (Round to 1 significant number)
Step-by-step explanation
80+80=1660 so we add the number together then agter times then after take away the number and use the nu
six Notebooks cost 720 find the cost of 44 note books
Explanation:
720/6 = 120
44 x 120 = 5280
Answer:
$5280
Hope this helps!!!!!
Step-by-step explanation:
Cost of 6 notebooks = 720
Then, cost of 1 notebook = 720/6
Therefore, cost of 44 notebooks = 720/6 x 44
= 120 x 44
= 5,280
Therefore, the cost of 44 notebooks will be 5,280
You have26 library books. Then you take out 15 more books. Now you have 27 books. How many books did you return.
Find the distance between the two points in simplest radical form.
(-9,8) and (-3,-1)
Answer:
[tex]d = 3\sqrt{13}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra II
Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point (-9, 8)
Point (-3, -1)
Step 2: Find distance d
Substitute: [tex]d = \sqrt{(-3+9)^2+(-1-8)^2}[/tex]Add/Subtract: [tex]d = \sqrt{(6)^2+(-9)^2}[/tex]Evaluate: [tex]d = \sqrt{36+81}[/tex]Add: [tex]d = \sqrt{117}[/tex]Simplify: [tex]d = 3\sqrt{13}[/tex]And we have our final answer!
Why is it essential to know how to solve Exponential equations in order to solve Logarithmic equations? (Make sure to fully explain).
Answer:
Because you need it for your later life and for your GCSES and if you dont want to fail then you will need it.
Step-by-step explanation:
Given an exponential equation in which a common base cannot be found, solve for the unknown. Apply the logarithm of both sides of the equation. If one of the terms in the equation has base 10, use the common logarithm. If none of the terms in the equation has base 10, use the natural logarithm.
The mean number of cars owned is 2 and the standard deviation is 0.80. Fiona owns 3 cars. What is her z score?a. 1.50b. 2.00c. 1.25d. 2.25
Answer:
Her Z score is 1.25
Step-by-step explanation:
What is the slope and y intercept for 14X - 7Y = 28
Answer:
y = 2x - 4 (the slope is 2 or 2/1 and the y-intercept is -4)
Step-by-step explanation:
Subtract 14x from both sides of the equation.
This should get you -7y = 28 - 14x.
Then you need to divide by -7 on both sides.
y = -4 + 2x is the result
which you can switch around if you like and get y = 2x - 4
Which angle pairs are congruent angle pairs? Select all that apply.
alternate exterior
same-side (consecutive exterior)
same-side (consecutive interior)
alternate interior
corresponding
linear pair
vertical
All are angle pair relationship, except consecutive exterior.
$300 at 2.5% for 16 months
Answer:
Total: $420 (growth of $120)
Step-by-step explanation:
Multiply $300 by 0.025 (2.5%) which is equal to 7.5. Then multiply that by 16 months which gives you $120 added to your $300.
what is the value of |4.75|
Which of these division problems have the same quotient as 12.3 divided by 0.4? Check all that apply.
1. 123 ÷ 4
2. 1.23 ÷ 0.4
3. 1,230 ÷ 40
4. 123 ÷ 0.04
Answer:
1 and 3
Because if you move the decimal point for one number you also have to move it for the other.
The yard care staff can mow 45 lawns in a 10-hour work day. Each of the 9 workers can mow the same number of lawns per hour. How many lawn can one worker mow per hour
If it takes 10 hours for 9 workers to mow 45 lawns, dividing the 45 lawns by 9 we see that in 10 hours one worker can mow 5 lawns. This means that in one hour, a single worker can mow 5/10=1/2 of a lawn
Which of the ratios below has a unit rate of 50? Select all that apply.
A) 250:5
B) 100:2
C) 75:25
D) 300:6
E) 600:12
A square plastic tarp has sides that are 7 meters long. What is the tarps area?
Answer:
49 square meters
Step-by-step explanation:
The formula for finding the area of a surface is [tex]area=length*breadth[/tex] Since the tarp is square, all of its sides have the same lengthSo the length equals the breadthThat means the area is [tex]area=(7meters)*(7meters)=49meters^{2}[/tex]So if he reads 147 pages of a book and he has completed 70% of the book how much would be left
Answer:
63 pages
Step-by-step explanation:
147/x=70/100
147=x(70/100)
x = 147/(70/100)
x = 210
210-147=63
Answer:
63 pages
Step-by-step explanation:
147 100
---- * ---- = 210 and then 210-147=63
1 70
simplify each od the following ratios a) 15/24 :9/7
b) 2/3 : 3/2 : 5/8
Answer:
Fourth Option
Step-by-step explanation:
In order to find the answer to this question you must find the common number and then divide the numerator and the denominator by that number.
[tex]\frac{15}{24}[/tex]
[tex]CN=3[/tex]
[tex]15\div3=5[/tex]
[tex]24\div3=8[/tex]
[tex]=\frac{5}{8}[/tex]
Hope this helps.