A recent survey of 8,000 high school students found that the mean price of a prom dress was $195.00 with a standard deviation of $12.00. alyssa thinks that her school is more fashion conscious and spent more than $195.00. she collected data from 20 people in her high school and found that the average price spent on a prom dress was $208.00. which of the following is the correct z-statistic for this situation? 0.24 4.84 7.51 96.90
Z-score of given data comes to be 4.84.
It is given that:
Mean price of a prom dress μ= $195
Standard deviation σ= 12
Mean of price spent on prom dress out of 20 people X= $208
Sample size n= 20
What is a z-score?A Z-score is a numerical measurement that describes a value's relationship to the mean of a group of values.
Z-score = (X-μ)/(σ/√n)
Where, X = observed value
μ= mean
σ = standard deviation
n =sample size
Z-score of above data = (208-195)/(12/√20)
Z-score = 4.84
Therefore, the Z-score of the given data comes to be 4.84.
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Answer:
B
Step-by-step explanation:
on edge
What is the length of side b round to the nearest hundredth
Answer:
= 8.06
Step-by-step explanation:
4^2 + 7^2
16 + 49
= ∫65
= 8.06
I need to do this it due tommorow
Answer:
14
Step-by-step explanation:
when you add all the numbers together you get 14, also where you put the line you can see that the line is a 3 and 5 minus 2 is 3. The next corner next to the 3 is 1 cm because if you look at the horizontal 2 it matches up with the horizontal 1 and 2 minus 1 is 1.
pls help fast. i need it fast. pls
Answer: Part A C x G = X
Part B it represents the cost
Step-by-step explanation:
In a certain card game, for every 4 blue cards, there are 3 yellow cards. There are a total of 84 blue and yellow cards in the game.
How many blue cards are in the game?
Answer:
63 yellow cards
Step-by-step explanation:
84 divided by 4 is 21, and 21 times 3 is 63.
Are the ratios equivalent? 2/5 and 20/55
Step-by-step explanation:
Simplify 20/55;
[tex] \frac{20 \div 5}{55 \div 5} = \frac{4}{11} [/tex]
[tex] \frac{2}{5} \: is \: not \: equivalent \: to \: \frac{4}{11} [/tex]
In order for 2/5 to be equivalent with 20/55, it has to be an unsimplified form of the ratio 2/5. We can identify that 20/55 isn't.
Assuming 2:5 and 22:55 are equivalent. Then;
[tex]\implies 2:5 = 20:55[/tex]
This can be checked by using two methods. Listed below!
Method 1 (As stated above):This method has been used in the above answer. The above answer has simplified the right-hand-side and verified that the ratios are not equivalent.
Obtained ratio:
[tex]2:5 = 20:55[/tex]
We can see that 20 and 55 are divisible by 5. Therefore, we can divide 5 to the numerator and the denominator to simplify the fraction.
[tex]2:5 = (20 \div 5):(55 \div 5)[/tex]
[tex]2:5 = (4):(11)[/tex]
Therefore, the given ratios are NOT equivalent.
Method 2:To determine if the ratios are equivalent (or not);
Multiply the extremes (Refer to notes) of the ratio and isolate them on one side of the equation.Multiply the middles (Refer to notes) of the ratio and isolate them on the other side of the equation.Therefore,
[tex]\implies 2:5 = 20:55[/tex]
[tex]\implies 2 \times 55 = 5 \times 20[/tex]
Now, let's simplify both sides of the equation.
[tex]\implies 2 \times 55 = 5 \times 20[/tex]
[tex]\implies 110 = 100 \ \ \ (\text{False})[/tex]
Therefore, the given ratios are NOT equivalent, as stated in method 1.
Notes:Extremes: (a : b = c : d) ⇒ "a" and "d"Middles: (a : b = c : d) ⇒ "b" and "c"Learn more about equivalent ratios: https://brainly.com/question/18835388
A class of 24 students visited a science museum. Each student paid the
museum’s admission fee and $6 for lunch at the museum. The class spent
a total of $336. What was the admission fee that each student paid?
Answer:$14
$336/24
$14
Step-by-step explanation:
SOMEONE PLSS HELP WITH MY ZEARN ITS 5TH GRADE MATH BTW! can be decimal or mixed number!!
Answer:
[tex]64 \frac{1 3}{21} ft {}^{2} [/tex]
Step-by-step explanation:
Area of the garden:
[tex](8 \frac{3}{7} \times 7 \frac{2}{3} )ft {}^{2} \\ \\ ( \frac{59}{7} \times \frac{23}{ 3} )ft {}^{2} \\ \\ = \frac{1357}{21} ft {}^{2} \\ \\ = 64 \frac{13}{21} ft {}^{2} \: (ans)[/tex]
The height of a rocket t seconds after launch is modeled by the function: f(t)=-16t^2+72t.
What is the maximum height of the rocket in feet?
Step-by-step explanation:
the extreme values of a function happen at the zeros of the first derivation of that function.
f(t) = -16t² + 72t
f'(t) = -2×16t + 72 = -32t + 72
0 = -32t + 72
32t = 72
t = 72/32 = 2.25 seconds
f(2.25) = -16(2.25)² + 72×2.25 = -16×5.0625 + 72×2.25 =
= -81 + 162 = 81 ft
so, the rocket reaches its maximum height of 81 ft after 2.25 seconds of flight.
HELPPPPPOOOPP PLEASEEE
Answer:
122
Step-by-step explanation:
Rectangle: 6*15=90
Inner Trapezoid: 6*4=24
Triangles: 4*2=8/2=4*2=8
What would be the answer to this question
Step-by-step explanation:
[tex] \sqrt{28 - 6x} = x - 6 \\ ({ \sqrt{28 - 6x}) }^{2} = {(x - 6)}^{2} \\ + - (28 - 6x) = {x}^{2} - 12x + 36 \\ 0 = {x}^{2} - 6x + 8 \\ 0 = (x - 2)(x - 4) \\ x - 2 = 0 \\ x - 4 = 0 \\ x = 2 \\ x = 4 \\ we \: must \: check \: the \: answer \: \\ \sqrt{28 - 6(2)} = 2 - 6 \\ \sqrt{16} = - 4 \\ 4 = - 4 \\ it \: is \: wrong. \: \\ \sqrt{28 - 6(4)} = 4 - 6 \\ \sqrt{4} = - 2 \\ 2 = - 2 \\ it \: is \: wrong \: too.[/tex]
-( 28 - 6x ) = x² - 12x + 36
x² - 18x + 64 = 0
√∆ = √( 324 -256)= √68 = 2√17
x = (18 ± 2√17)/2 = 9 ± √17 → 9+√17 ✓
9-√17 is not acceptable because the radical answer can not be negative.
Determine the first expression to evaluate 8+7-9+42÷6 ?
Answer:
The answer is 13!
Step-by-step explanation:
Have a great day!
eric sells donuts for $7 per dozen. which equation can be used to determine the total cost, t, for x dozen of donuts?
Answer:
7 times x = t
Step-by-step explanation:
if your buying 3 dozen of donuts, the total cost would be by doing 7x3
Solution:
It should be noted:
Given sentence: Eric sells donuts for $7 per dozen.Let's reread the sentence carefully.
Eric sells donuts for $7 per dozen.
↥ ↥
$7 1 dozen
The equation created: $7 = 1 dozen
If x dozen doughnuts were sold, equation: $7x = t = x dozen
Thus, the equation that can determine the total cost, t, for x dozen of donuts is $7x = t.
What is the hydronium ion concentration in a solution of hcl that has a ph of 4.65? round to the nearest hundredth. × 10n m n = what is the hydroxide ion concentration in a solution of nh3 with a poh of 4.65? round to the nearest hundredth. × 10n m n =
The hydroxide ion concentration in a solution of nh3 with a poh of 4.65 is 2.2387×10⁻⁵ M.
What is pH value?The pH scale, which originally stood for "potential of hydrogen," is used to describe the acidity or basicity of aqueous solutions. The pH of acidic solutions is lower than that of basic or alkaline solutions.
Hydronium ions concentration of the solution with a pH value of 4.65.
[tex]pH = -\rm log[H_3O^+]\\\\4.65 = -log[H_3O^+]\\\\\text{Taking Antilog}\\\\10^{-4.65}=[H_3O^+]\\[/tex]
[tex][H_3O^+] = 2.2387 \times 10^{-5} M[/tex]
Now, we know that the Hydroxide ions concentration of the solution with pOH value of 4.65. Therefore,
[tex]pOH = -\rm log[OH^-]\\\\4.65 = -log[OH^-]\\\\\text{Taking Antilog}\\\\10^{-4.65}=[OH^-][/tex]
[tex][OH^-]=2.2387 \times 10^{-5}\ M[/tex]
Hence, the hydroxide ion concentration in a solution of nh3 with a poh of 4.65 is 2.2387×10⁻⁵ M.
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Answer:
first one is 2.24 then -5
2nd one is 2.24 then -5
i just did it
please help with this question find the outlier!!
Answer:
the outlier would be 36 oz
Step-by-step explanation:
the rest of the points on the box plot are clustered together while 36 is far away from the nearest point (39)
hope this helps :)
help me please! i need to turn in this assignment
Answer:
90
40
45%
Step-by-step explanation:
the way I go 40 was by looking around the blank space, and i see that the 2 totals are 110 and 88. 110-70=40 and 88-48=40 so that is the answer for that one
and for the frequency i took 90 and divided it by 200 gettin 0.45 and then i moved the decimal 2 places to the right giving me my percentage
Determine the value of x that makes each equation true.
Equation
Value
- 3x = 6.3
1/8 = -12
-1.2x = -30
12
= -0.3
Answer:
1. -2/1
2. -1.5
3. 25
4. -0.025
Step-by-step explanation:
divide by the coefficient on both sides of then equation.
What is the circumference of 7 in?
Answer:
If Its 7 in diameter than the answer is 21.98 if it is radius than it is 153.86
Step-by-step explanation:
Answer:
Solution:
Radius of a circle = 7 in
We know that
Circumference of a circle = 2πrSubstituting the values
= 2 × π × 7
= 14π
= 43.9823 ≈ 43.98 in
Therefore, the circumference of a circle is 43.98 in.
An angle measures 64° less than the measure of its supplementary angle what is the measure of each angle
Given :
An angle which measures less 64° the measure of its supplementary angle.⠀
To Find :
The measure of its supplementary angle.⠀
Solution :
Let's assume the one of the supplementary angle as x and the other angle as (x - 64)° .Now,
⠀
According to the Question :
[tex]\longrightarrow\qquad \sf{{x
+ (x - 64) {}^{ \circ} = {180}^{ \circ} }}[/tex]
[tex]\longrightarrow\qquad \sf{{x + x - 64 {}^{ \circ} = {180}^{ \circ} }}[/tex]
[tex]\longrightarrow\qquad \sf{{2x - 64 {}^{ \circ} = {180}^{ \circ} }}[/tex]
[tex]\longrightarrow\qquad \sf{{2x = {180}^{ \circ} + 64 {}^{ \circ}}}[/tex]
[tex]\longrightarrow\qquad \sf{{2x = {244}^{ \circ} }}[/tex]
[tex]\longrightarrow\qquad \sf{{x = \dfrac{{244}^{ \circ}}{2} }}[/tex]
[tex]\longrightarrow\qquad \mathfrak{\pmb{{x = {122}^{ \circ} }}}[/tex]
⠀
Therefore,
One angle = 122°Other angle = 122° – 64° = 58°⠀
⠀
Henceforth ,
The measure of the two angles are 122° and 58° .A cube has an edge length of 3 inches.
a) Find the surface area and volume of the cube.
b) The cube is dilated by a scale factor of 0.5.
Find the surface area and volume of the image.
PLEASE HELP THIS IS DUE TOMORROW!!!
Answer:
Question (a)
Surface area of a cube = [tex]6x^2[/tex] (where [tex]x[/tex] is an edge length)
⇒ surface area = 6 × 3²
= 6 × 3 × 3
= 6 × 9
= 54 in²
Volume of a cube = [tex]x^3[/tex] (where [tex]x[/tex] is an edge length)
⇒ volume = 3³
= 3 × 3 × 3
= 27 in³
Question (b)
To find the area of a dilated figure, simply multiply the original area by the scale factor squared:
Surface area = [tex]6x^2[/tex] × sf²
= 54 × 0.5²
= 13.5 in²
To find the volume of a dilated figure, simply multiply the original volume by the scale factor cubed:
Surface area = [tex]x^3[/tex] × sf³
= 27 × 0.5³
= 3.375 in³
The quadratic parent function f was transformed to create g(x)=4f(x)which description best represents g?
Answer: the second one because its a virdacal reflection
Step-by-step explanation: it’s sideways all you have to do is find the equation
5y(4-2y+y)-4y
Need help ASAP
Answer:
The answer above is correct, I got it wrong originally! Sorry for wasting this spot! ^w^
Step-by-step explanation:
What is the area of this composite figure?
Answer: B: 7.14 in²
Step-by-step explanation:
Area of the square: 2x2 = 4in²
Area of the circle: πr² = 3.14 x 1² = 3.14
add them both to get the composite area:
4 + 3.14 = 7.14 in²
Fran is training for a cycle race. In the first week, she cycles 195 miles. In the second week, she manages 243 miles. To the nearest tenths, What is the percent increase in distance?
Answer:
24.6%
Step-by-step explanation:
243-195=48
48/195=x/100
48 × 100
4800/195= 24.6%
expand and simplify x(x-4)(x-1)
Answer:
Step-by-step explanation:
x(x-4)= x^2-4x
x^2-4x(x-1)
x^3-5x^2+4x
Analyze: What is the the number of periods of the following atoms
Answer:
2; 3; 4.
Step-by-step explanation:
Li - 2 (two circles); Na - 3 (three circles); K - 4 (four circles).
Ashley makes house calls. For each she is payed a base amount and makes additional money for each hour she works. The graph below shows her pay(in dollars) versus the number of hours worked.
How much does her pay increase for each hour?
Answer:
her pay increases by 30$ each hour she work
Step-by-step explanation:
hope it helps
How many more unit tiles need to be added to the expression x2 4x 3 in order to form a perfect square trinomial? 1 2 3 4.
The number that needs to be added to the equation [tex]x^{2} +4x+3[/tex] will be 1
What number of tiles is needed to make the equation perfect square?Given equation is [tex]x^{2} +4x+3[/tex]
Now by adding 1 to the equation [tex]x^{2} +4x+3[/tex] we get
[tex]x^{2} +4x+3+1=x^{2} +4x+4[/tex]
[tex]x^{2} +2x+2x+4[/tex]
Now by splitting the equation
[tex]x(x+2)+2(x+2)[/tex]
[tex](x+2)(x+2)[/tex]
[tex](x+2)^{2}[/tex]
Thus the number that needs to be added to the equation [tex]x^{2} +4x+3[/tex] will be 1
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A - 1
Correct answer. Since, well you just need one more tile to add, especially noticeable in the picture shown! Enjoy folks
Select the correct solutions for the system of equations:
10x + y = -20
y = 2x^2 - 4x - 1
[] (-2, 0)
[] (-1, 0)
[] (0, -2)
[] (0, -1)
[] (-2, 10)
[] (-1, -10)
[] (10, -1)
[] (10, -2)
Answer:
The answer are
(-2,0)
(-1,-10)
(0,-1)
Step-by-step explanation:
I believe these are all the right answers
Hope this helps and mark brainliest please :)
Find the nth term of the sequence
below:
2,6,10,...
What is the 10th term in the
sequence? If 89 in the sequence?