Answer:
The standard error of the sampling distribution is [tex]\sigma_x = .79[/tex].
Step-by-step explanation:
We can find the standard error of the sampling distribution using this formula:
The standard deviation of the sampling distribution, also known as the standard error, can be found by taking the population standard deviation and dividing it by the square root of the sample size, both of which we are given in the problem.
[tex]\displaystyle \sigma_x = \frac{5.5}{\sqrt{49 }} = .7857[/tex]Rounded to two decimal places: [tex]\sigma_x = .79[/tex]
The standard error of the sampling distribution if the sample size n = 49 and the population standard deviation σ = 5.5 is .79.
Rico and Halima are shopping for craft sticks, glue, and electrical tape for a science project. Together, they have $30 to spend on supplies. How should they spend their $30 if they need at least 1,000 craft sticks? 275 craft sticks is $4.75 electrical tape is $3.50, large glue is $5.00 small glue is $3.50
Rico and Halima should spend $17.30 on craft sticks and evenly distribute the remaining $12.70 between large glue, small glue, and electrical tape.
Explanation:To determine how Rico and Halima should spend their $30 on craft sticks, glue, and electrical tape, we need to calculate the cost of each item and ensure they have enough money to buy at least 1,000 craft sticks. Let's break it down:
Craft sticks cost $4.75 for 275 sticks. Hence, the cost per craft stick is $4.75/275 = $0.0173 (rounded to 4 decimal places).If they need at least 1,000 craft sticks, the minimum cost for craft sticks will be 1,000 × $0.0173 = $17.30 (rounded to 2 decimal places).Next, let's consider the cost of the other supplies. Large glue costs $5.00 and small glue costs $3.50. The electrical tape costs $3.50.To determine the remaining amount, they can spend on glue and electrical tape, we subtract the minimum cost of craft sticks from their total budget: $30 - $17.30 = $12.70.
Now we need to decide how much to spend on large glue, small glue, and electrical tape. Since we don't have specific quantities required for each item, let's assume they spend an equal amount on large glue, small glue, and electrical tape.
Therefore, each item can cost $12.70/3 = $4.23 (rounded to 2 decimal places).
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Rico and Halima should buy 1,100 craft sticks, two small glues, and one electrical tape for a total of $29.50, staying within their $30 budget.
Here’s a breakdown of how they can spend their money:
Purchase Plan
Craft Sticks: 1,100 craft sticks (4 packs) = 4 x $4.75 = $19.00Large Glue (recommended for better bonding): 2 x $5.00 = $10.00Electrical Tape: 1 x $3.50 = $3.50Total: $19.00 + $10.00 + $3.50 = $32.50
Since $32.50 exceeds their $30 budget, they’ll need to make adjustments:
Craft Sticks: 1,100 craft sticks (4 packs) = 4 x $4.75 = $19.00Small Glue: 2 x $3.50 = $7.00Electrical Tape: 1 x $3.50 = $3.50Total: $19.00 + $7.00 + $3.50 = $29.50 (within budget).
Therefore, Rico and Halima should buy 1,100 craft sticks, two small glues, and one electrical tape for a total of $29.50.
Lance is building a rectangular fence for his chickens. He wants the length to be three times the width and he has 80 feet of fencing. What is the largest possible length? Write an equation and solve.
A) 8w=80; 10
B) 4w=80; 20
C) 8w=80; 30
D) 4w=80; 15
Answer:
C) 8w = 80;30
This is because it is a rectangle and 30ft +30ft =60ft length.
The question asks to make the fence as large as possible fencing overall is same ratio as D but more for length.
The new equation could be for total width both sides;
9^2 -1w = 5
81-1w = 5
w = 80/5
w = 16ft
Final answer:
To calculate the largest possible length for Lance's chicken fence, set up the perimeter equation with length as three times the width. The equation simplifies to 8w=80, and solving for w gives a width of 10 feet, making the largest possible length 30 feet. The correct answer is option C.
Explanation:
Lance is building a rectangular fence for his chickens, and he wants the longer side, the length, to be three times the shorter side, the width. The total amount of fencing he has is 80 feet. To find the largest possible length, we need to set up an equation.
Let the width be w. Then, the length will be 3w. The perimeter of a rectangle is calculated by the formula P = 2l + 2w, where P is the perimeter, and l and w are the length and width, respectively. Since he has 80 feet of fencing, the equation is:
2(3w) + 2w = 80
Simplify the equation:
6w + 2w = 80
8w = 80
To find the value of w, divide both sides of the equation by 8:
w = 80 / 8
w = 10
Now that we have the width, let's find the largest possible length:
Length = 3w = 3(10) = 30
Therefore, the largest possible length is 30 feet. The correct choice is C) 8w=80; 30.
there are 10 students in a class 7 boys and 3 girls , what is the probability that everyone in the group is a boy
Choose the relation that is a function
Option 2. the circle graphs are not functions when there are two arrows pointing on the same right number
How are the volume formulas of prisms and cylinders similar? How are they
different?
Answer:
They are both similar in the way that the formula is base multiplied by height. They are different because of the type of shape on the base.
Step-by-step explanation:
hope this helps
1. TRUE OR FALSE and explain. The coordinate pair (-3, 7) is the solution of the system of equations made up
of y = – 3x – 2 and y - 10 = 2/3(x-6).
Answer:
FALSE, when we plug in the coordinates (-3,7) in the equation, it isn’t true. Therefore, it isn’t the solution.
Step-by-step explanation:
You plug the coordinates (-3,7) in the equation and see if it’s true
Y= -3x-2
7=-3(-3)-2
7=9-2
7=7
Y-10=2/3(x-6)
7-10=2/3((-3)-6)
-3=-7 (FALSE!!!)
What property does the hour and minute hand of a clock at 3 o’clock show?
A. opposites
B. perpendicularity
C. symmetry
D. parallelism
Answer:
Hey I think it is C. Symmetry but im no all the way sure
Step-by-step explanation:
Answer:
B. Perpendicularity
Step-by-step explanation:
If you analyze what shows 3 o‘clock, you can see that....
Make a right angle (90 grade angle), that’s is name perpendicular
So that’s why the answer is B
Hope I helped
What is the cube root of 8x^27? 2x^3 2x^9 4x^3 4x^9
Answer:
2 x^9
Step-by-step explanation:
8x ^27
We want to take the cube root
(8x ^27) ^1/3
We know that (ab)^1/3 = a^1/3 * b^1/3
(8) ^ 1/3 (x ^27) ^1/3
Re writing 8 as 2^3
(2 ^3) ^ 1/3 (x ^27) ^1/3
We know that a^b^c = a^ (b*c)
(2 ^(3* 1/3) *x ^(27 *1/3)
2 ^ 1 * x ^ 9
2 x^9
I don’t even know how to answer this lol it’s too early for me. So confused plz help
Answer:
132
Step-by-step explanation:
Answer:
pie 1 = |=| 3-75+1=u so g4y
that a have a gobayd day i rey dont no
Step-by-step explanation:
Social distancing guidelines state that we must stay a minimum of 6ft away from each other. How many circles with a 3ft radius could fill a 100 square foot (10ft x 10ft) space without overlap?
*Tip*
Area of a Circle = π r where r=radius
Given:
The radius of each small circle = 3 ft
The area of the given space = 100 ft
To find the number of circles could fill the space of 100 ft.
Formula
The area of a circle is
[tex]A = \pi r^{2}[/tex], where r be the radius of the circle.
Now,
Putting, r = 3 and π = 3.14 we get,
[tex]A = (3.14)(3^{2} )[/tex] sq ft
or, [tex]A = 28.26[/tex] sq ft
So, the area of each circle is 28.26 sq ft
Now,
Number of circles that could fill into the given space = 100÷28.26
= 3.53≈3
Hence,
3 circles with radius 3 ft could fill a 100 sq ft space without overlap.
Ty you for the answer
Answer:
The answer would be -5/12
Answer:
The answer is 1/24
Step-by-step explanation:
Hope this Helps!!:)
Would appreciate Brainliest!!:)
Evaluate x2 + 14 for x = –5.
Question 10 options:
A)
11
B)
39
C)
–39
D)
–11
Answer:
If that's x^2 + 14,the answer is B. 39
but if it's x2 + 14 | 2x + 14 = 24
Step-by-step explanation:
x^2 + 14
= (-5)^2 + 14
= 25 + 14
=39
x2 + 14 | 2x + 14
=2(-5) + 14
=10 + 14
=24
After substituting x=-5 into the equation x² + 14 and performing the operations, we get the answer as 39.
Explanation:The question asks us to evaluate the expression x² + 14 when x = -5.
Firstly, replace x in the equation with -5. So the equation becomes (-5)² + 14.
Perform the square operation to get 25, and then add the 14. This results in 25 + 14 = 39.
So, when you substitute x = -5 into the expression x² + 14, you get the result 39. Therefore, x² + 14 for x = -5 equals 39.
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da derri purchases 8 foam fingers for $9
Viw
a
1. Jerri purchases 8 foam fingers for $9
each. She then withdrew $8 out of her
checking account and she has $26 left. How much money did she
have to begin with?
Answer:
26 + 8 = 34
Step-by-step explanation:
because it said he withdrew and that means take money out. so she had 34 at first
For the following data set, select the best method for summarizing the data.
3, 3, 4, 5, 2, 9, 5, 2, 3, 4
A) Median
B) Range
C) Outlier
D) Mean
E) Mode
D
Step-by-step explanation:
the mean is the average of the set of numbers, which makes it perfect for summarizing data.
write the quadratic equation y=x to the power of 2 -6x+7
Answer:
y = x^2 -6x +7
Step-by-step explanation:
You have already written it. All you need to do is use the appropriate symbol for "to the power of". That symbol is the caret (^).
y = x^2 -6x +7
if u have a new deck of shuffled cards what is the probability you will choose a black card?
Answer:
50%
Step-by-step explanation:
There are 4 suits in a deck of cards, hears diamonds clubs and spades
2 are red and 2 are black
This means 1/2 of the cards are black and 1/2 are red
P (black) = black cards / total cards
= 1/2
= 50%
work out the two possible answers 5 + 3d 2 = 8
Answer:
d = ±1
Step-by-step explanation:
5 + 3d² = 8
3d² = 3
d² = 1
d = ±1
Can I get brainliest
To find the value of x, do you divide or multiply?? cause this is confusing
Answer:
divide
Step-by-step explanation:
you know the angle across the green one is 32 too so they together equal 64 and 360 - 64 is 296 so with 296 split between two angles you do 296 / 2 which equals 148
On the Moon, Jim had a weight of 27.5 lbf (27.5 pounds-force).
The force of gravity on the Moon is one sixth of that on Earth. How much did Jim weigh on Earth?
A
4.583 lbf
B 27.5 lbf
C
137.5 lbf
D
165 lbf
Answer:
Jim had a weigh 165 lbf on Earth.
Step-by-step explanation:
Weight:
The product of mass and acceleration due to gravity.
weight= mass× g
Mass: The amount of material in an object is known as mass of the object.
Mass does not depends on g. Mass of an object remains same.
Given that,
Jim had a weight of 27.5 lbf on the moon.
So,
[tex]mg_m=27 \ lbf[/tex] .......(1)
m = mass of Jim
[tex]g_m[/tex]= acceleration due to gravity on the moon.
Again,
The value of force of gravity on the Moon is one sixth of that on Earth.
[tex]g_m=\frac16 g[/tex]
g = force of gravity on Earth.
Now plug [tex]g_m=\frac16 g[/tex] in equation (1)
[tex]m\times\frac16 g =27 \ lbf[/tex]
[tex]\Rightarrow mg=(27\times 6) \ lbf[/tex]
⇒mg = 165 lbf
Jim had a weigh 165 lbf on Earth.
A triangle with side lengths 12, 14, 18 is...
Answer: is what
Step-by-step explanation:
The left and right page numbers of an open book are two consecutive integers whose sum is 295. Find these page numbers.
The two page numbers are IN
(Use a comma to separate answers as needed.)
Answer:
147, 148
Step-by-step explanation:
295/2=147 remainder 1 so, consecutive means back to back so 147 and 148. Add them up and you get 295.
Final answer:
The consecutive page numbers with a sum of 295 are 147 and 148, with 147 being the left page and 148 being the right page.
Explanation:
To find the consecutive page numbers of an open book with their sum equal to 295, we can set up a simple equation. Let the smaller integer be n, which means the next consecutive integer (the other page number) would be n+1. Since their sum is known to be 295, we set up the equation as n + (n + 1) = 295.
Solving for n gives us:
n + n + 1 = 295
2n + 1 = 295
2n = 294
n = 147
Therefore, the two consecutive integers are 147 and 148. The left page number is 147 and the right page number is 148.
Find the slope
Y= -4/3x+2
Find the slope
Y= -4/3x+2
The slope is -4/3 because that's the number before x.
Complete the sentence with the correct word.
In the United States, the 401(k) plan or Individual Retirement Account is a defined
plan.
Answer:
In the United States, the 401(k) plan or Individual Retirement Account is a defined contribution plan.
Step-by-step explanation:
#platofam
the original plan for mr Harris's house is a rectangle that measures 40ft by 50ft. because of the increase and cost of materials, the square footage is reduced to 1739ft squared. how much will the dimensions be decreased?
Answer: The dimesions will be decreased by 13.05%.
Step-by-step explanation:
Hi, we have to calculate the original area.
Area of a rectangle = Length x width
Replacing with the values given:
A = 40x50 = 2000 ft2
Since is reduced to 1739. if we multiply the original area by a the percentage decrease, and subtract that value to the original area, we obtain 1739 ft2.
2000 - (2000x) = 1739
Solving for x
-2000x = 1739 -2000
-2000x = -261
x =-261/-2000
x = 0.1305
Multiply by 1000 to obtain the percentage:
0.1305 x 100 = 13.05%
Determine the points for the graph of the relation y = -5x -3 using the x-values given in the table
Answer:
(-2,7) , (-1,2) , (0,-3) , (1,-8) , (2,-13)
Step-by-step explanation:
For the first one,
y = -5x - 3
We can substitute the x value:
y = -5(-2) - 3
Then just simplify
y = 10 - 3
y = 7
Then you would get the coordinates: (-2,7)
You probably had the same approach but put the numbers in the wrong order. The third option would be correct.
What is the answer to this question ?
Answer:
- 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - x - [tex]\frac{40}{17}[/tex] ← is in slope- intercept form
with slope m = - 1
Parallel lines have equal slopes
Thus the slope of line d is - 1
Sally buys a bracelet for $60 and pays 7% sales tax. What is the total amount Sally pays, including tax, for the bracelet?
Answer:
$64.2
Step-by-step explanation:
After 7% tax, she pays 100+7 = 107% of the cost
107/100 × 60
64.2
7. If the perimeter of a square is 14g +28 inches, what is the length, in inches, of each side of
the square?
Answer:
3.5x+7
Step-by-step explanation:
divide your coeeficients by 4
need help asap it IS NOT 25
Answer:
50
Step-by-step explanation:
5*10
Consider that ΔDEF is similar to ΔGHI and the measure of ∠E is 58°. What is the measure of ∠H?
Answer:
58 degrees
Step-by-step explanation:
If figures are similar to each other, it means that they have the same measures. Therefore, D has the same measure as G, E has the same measure as H, and F has the same measure as I.