Martina read that the average graduate student is 33 years old. She wanted to estimate the mean age of graduate students at her large university, so she took a random sample of 30 graduate students. What is Martina's margin of error?
Answer: Martina's margin of error is 1.5.
Step-by-step explanation:
Given: Average graduate student (upper limit) = 33
Random sample graduate student (lower limit) = 30
Formula to calculate margin of error is as follows.
Margin of error = [tex]\frac{upper limit - lower limit}{2}[/tex]
Substitute the values into above formula as follows.
[tex]Margin of error = \frac{upper limit - lower limit}{2}\\= \frac{33 - 30}{2}\\= \frac{3}{2}\\= 1.5[/tex]
Thus, we can conclude that Martina's margin of error is 1.5.
Sylvie finds the solution to the system of equations by graphing.
y = x + 1 and y = x – 1
Which graph shows the solution to Sylvie’s system of equations?
Answer:
the 2nd one
Step-y-step explanation:
Jessica filled the birdbath in her yard with 4 liters of water. How many milliliters of water did she put in the birdbath?
Answer:
4,000 milliliters
Step-by-step explanation:
There are 1,000 millililters in one liter. 4*1,000=4,000.
Answer:
4,000 mL
Step-by-step explanation:
there are 1,000 mL in one liter so there are 4,000 mL in four liters
What is the vertex of the graph of the function below? y= x2 - 4x + 3
A. (2.-1)
B. (1,-1)
C. (1,0)
D. (2,0)
The city of Plainview is building a new sports complex. The complex includes eight baseball fields, four soccer fields, and three buildings that have
concessions and restrooms. Arrange the structures in the sports complex using translations, reflections, and rotations so that the final
arrangement satisfies each of these criteria:
. All the fields and buildings fit on the provided lot.
• Each field is adjacent to at least one building for ease of access.
. Two or more fields can be adjacent, but no two fields should share the same boundary (e.g., a sideline or a fence.)
• For safety reasons, no baseball field should have an outfield (the curved edge) pointed at the side (the straight edges) of another baseball
field.
Answer:
See Explanation
Step-by-step explanation:
(Please Find Diagram in the attachment)⇒Answer Drawing is Given There.
According to the question,
Given that, The city of Plainview is building a new sports complex. The complex includes eight baseball fields, four soccer fields, and three buildings that have concessions and restrooms. Now, Arrange the structures in the sports complex using translations, reflections, and rotations so that the final arrangement satisfies each of these criteria: All the fields and buildings fit on the provided lot. Each field is adjacent to at least one building for ease of access. Two or more fields can be adjacent, but no two fields should share the same boundary (e.g., a sideline or a fence.) For safety reasons, no baseball field should have an outfield (the curved edge) pointed at the side (the straight edges) of another baseball fieldSusie leaves to go shopping driving 45 miles per hour toward the Happy Shopper Grocery Store. Susie is originally 20 miles due west of the store. Sammie leaves for the Happy Shopper Grocery Store at the same time driving 50 miles per hour on the same road but she is 25 miles due East
If they keep driving and do not stop at the store, how long (in hours) will it take for them to pass on the road? Where relative to the store is this (please state a distance and whether they are East or West of the store). Round the time (in hours) to the nearest thousandth and the distance to the nearest tenth if needed.
Answer:
Step-by-step explanation:
when they meet, time taken are same.
total distance they travel=20+25=45mile
total speed=45+50=95mile/hour
time=45/95=0.474hour
0.47*45=21.4mile>20mile so they meet at east of store.
please answer this!!!!
Jacob wanted to know what the most popular sneaker brand was of his classmates. His class had 30 students. To save time, he asked 10 boys the brand of sneakers that they were wearing. Of the students surveyed; Nike was the most popular sneaker brand.
Explain 2 ways Jacob's survey could have been more representative of his class's favorite sneaker brand.
Answer:
He could have asked the girls as well, and could have asked the entire class instead of just 10 students.
Step-by-step explanation:
By only asking 10 boys, he is not getting a complete representation of the whole class, as their are 30 students in the class.
Larry works at the Gap Clothing Store. He works 15 hours week. If his manager cuts all employee hours by 20%, how many hours a week will Larry work now.
Answer:
12 hours
Step-by-step explanation:
Find 20% of 15 hours
15 * 20%
15 * .2
3
Subtract this because his hours are cut
15-3
12
Four spheres of radius 6 cm just fit inside a cylinder.
Calculate the volume inside the cylinder that is empty.
Leave your answer in terms of pi.
Answer:
1152\pi\
Step-by-step explanation:
Help
Will
Give
Brainlist
Answer:
3.14 million
Step-by-step explanation:
10.676 - 7.536 = 3.14
To check
7.536 + 3.14 = 10.676
Answer:
3.14 million is the correct answer
Find the y-component of this
vector:
12.0 m
73.3°
Remember, angles are measured from
the +X axis.
y-component (m)
Answer:
The y-component is 11.49 m.
Step-by-step explanation:
Given that,
Vector = 12 m
Angle, θ = 73.3°
We need to find the y-component of this vector.
It can be calculated as follows :
[tex]v_y=v\sin\theta\\\\v_y=12\times \sin(73.3)\\\\=11.49\ m[/tex]
So, the y-component is 11.49 m.
Does anyone know this? Options: 5,6,or 10
Answer:
x = 6
Step-by-step explanation:
a • b = c • d where a and b are the segments lengths on one chord and c and d are the segments lengths on the other chord
2*x = 3*4
2x = 12
Divide by 2
2x/2 = 12/2
x = 6
Solve the following system of equations.
\begin{aligned} -5x+4y &= 3\\\\ x&=2y-15 \end{aligned}
−5x+4y
x
=3
=2y−15
x=?
y=?
Step-by-step explanation:
The first president of the United States was
[tex]\begin{aligned} -5x+4y &= 3\\\\ x&=2y-15 \end{aligned}[/tex]
Answer:
x=9
y=12
Step-by-step explanation:
Given 1x) = 10-2x, find f(7).
Step-by-step explanation:
Given that,
f(x) = 10 - 2xWe are asked to calculate the value of f(7).
Substitute the value of x as 7 in the polynomial to find the value of f(7).
→ f(7) = 10 - 2(7)
→ f(7) = 10 - 14
→ f(7) = -4
Therefore, –4 is the required answer.
which one is the smallest 4/5 1/6 2/3 1/5
Answer:1/6
Step-by-step explanation:
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\mathsf{\dfrac{4}{5}=\boxed{\bf 0.80\ or\ 80\%}}\\\\\\\mathsf{\dfrac{1}{6}=\boxed{\bf 0.166667\ or\ 16.6667\% }}\\\\\\\mathsf{\dfrac{2}{3}=\boxed{\bf 0.666667\ or \ 66.6667\%}}\\\\\\\mathsf{\dfrac{1}{5}=\boxed{\bf 0.20\ or \ 20\%}}[/tex]
[tex]\large\textsf{After converting the fractions to decimals and percentages, we can}\\\large\textsf{now out them from descending (least) to ascending (greatest) order}\\\large\textsf{to determine your result to this question}[/tex]
[tex]\boxed{\mathsf{\dfrac{1}{6}, \ \dfrac{1}{5}, \ \dfrac{2}{3}, \& \ \dfrac{4}{5}}}[/tex]
[tex]\large\textsf{The SMALLEST one out of your set is: }\boxed{\mathsf{\bf \dfrac{1}{6}}}\large\checkmark[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: }\mathsf{\bf \dfrac{1}{6}}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Anyone know this answer?
Answer:
56 degrees
Step-by-step explanation:
The tangent of any angle in a right triangle is equal to its opposite side divided by its adjacent side.
Therefore, we have the equation:
[tex]\tan x^{\circ}=\frac{15}{10}[/tex]
To isolate [tex]x[/tex], take the inverse tangent of both sides:
[tex]\tan^{-1}(\tan (x^{\circ}))=\tan^{-1}(\frac{15}{10}),\\x^{\circ}=\arctan(\frac{15}{10})=56.30993247\approx \boxed{56^{\circ}}[/tex]
*Recall [tex]\tan^{-1}(\tan x)=x, x\in (-\frac{\pi}{2}, \frac{\pi}{2})[/tex]
b to the power of -3
write that as a positive exponent
explain
Answer:
1/b^3
Step-by-step explanation:
b^-3 is like writing:
1
---
b^3 since negative exponents are made into fractions
Please help me as soon as possible!
36 - 2s² + t²
S = 2
T = 8
Answer:
i think its 20
Step-by-step explanation:
Subtract the second equation from the first. 4x+3y = 17 (4x + y 9)
A. -8x = 26
B. 4y= 8
C. 8x = 26
D. 2y = 8
Answer:
D
Step-by-step explanation:
4x+3y -4x -y = 17 -9
<=> 2y =8
P={x:x is a natural number,x<9
Answer:
x:x = 1 so it is a natural number
Step-by-step explanation:
it can be any negative number because: -x<9
and any number from 1 to 8
(x cannot be 0, because you cannot do 0/0 = 1)
What is the absolute value of 6.57?
Answer: it should just be 6.57
Step-by-step explanation:
Fill in the blanks using < or >. (a) -3 ...... -4 (b) 6 ....... -20 (c) -8 ...... -2 (d) 5 ...... -7
[tex]\sf \bf {\boxed {\mathbb {ANSWER:}}}[/tex]
(a) -3 [tex]\boxed{ > }[/tex] -4
(b) 6 [tex]\boxed{ >}[/tex] -20
(c) -8 [tex]\boxed{ < }[/tex] -2
(d) 5 [tex]\boxed{ > }[/tex] -7
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{☂}}}}}[/tex]
we want to factor the following expression (x-3)^2-10(x-3)+25 which pattern can we use to factor the expression
Answer:
This question is asking for the pattern , not the factoring of it...
this is the [tex](a+b)^{2} pattern = a^{2} + 2ab + b^{2}[/tex]
Step-by-step explanation:
Answer:
(x - 8)²
Step-by-step explanation:
This is in the form of a perfect square, that is
(x + b)² = x² + 2bx + b²
with x = x - 3 and by comparison of like terms
2b = - 10 ⇒ b = - 5
Then
(x + b)²
= (x - 3 - 5)²
= (x - 8)² ← in factored form
3x + 14 < 38
Please show work
3x + 14 < 38
Subtract 14 from both sides:
3x < 24
Divide both sides by 3:
X < 8
What will be the remainder when 6x + 4x4 - 27x³
- 7x² + 27x + 3/2 is divided by (2x² – 3)?
Answer: The remainder is 0.
Step-by-step explanation:
We are given:
Dividend polynomial = [tex]6x^5+4x^4-27x^3-7x^2+27x+\frac{3}{2}[/tex]
Divisor polynomial = [tex]2x^2-3[/tex]
We divide the dividend by the divisor using the long division method.
In this method, the final answer written in the bottom is considered as remainder and the uppermost polynomial is considered as the quotient.
The long division of the two polynomials is attached in the image below.
From the image, we can say that the remainder of the two is 0
is x = 3 a function or not a function ?!
Answer:
x = 3 is not a function because, for one thing, its graph does not pass the vertical line test.
A triangle has vertices (-1, 2), (3, 1), and (7.2). What is the approximate perimeter of the triangle? Round your answer to the nearest hundredth
Answer
16.25
Step-by-step explanation: To The Nearest Hundredth
(-1, 2), (3, 1)
√17
(3, 1), (7, 2)
√17
(3, 1), (7, 2)
√8
So our answer is =
8 + √17 + √17 = 16.25
hope it works for you!
Which transformation reflects a figure across the y-axis
ethan invests £500 in the bank for 2 years he earned £40 simple interest
Answer:
Rate = 4%
Step-by-step explanation:
principal = £500
time = 2 years
simple interest = £40
rate = ?
simple interest = PTR / 100
£40 = £500*2*R /100
£40*100 = £1000*R
£4000/£1000 = R
4 % = R
Need help on this!!! 10 points!!!