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
Footware manufacturing is projected to decrease output by 8. 4% from 2006 to 2016. If footware manufacturing had 1. 8 billion dollars of output in 2006, approximately how much output is expected in 2016? a. $1. 95 billion b. $2. 64 billion c. $1. 55 billion d. $1. 65 billion.
Percentage is a way to describe a part of a whole. The production of the footwear that will be in 2016 will be 1.65 billion.
What is Percentage?A percentage is a way to describe a part of a whole. such as the fraction 1/4 can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
It is given that the production of footwear in 2006 was 1.8 billion which will be reduced by 8.4%, therefore, the number of footwear that will be produced in 2016 is 91.6%(100%-8.4%) of the production in 2006. Therefore, the production of footwear in 2016 will be
[tex]91.6\%\ of\ 2006\\\\= 0.916 \times 1.8\ billion \\\\= 1.6488\approx 1.65\ billion[/tex]
Hence, the production of the footwear that will be in 2016 will be 1.65 billion.
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Which of the fractions below has a numerator of 3? Select all that apply.
A)38
B)23
C)25
D)38
E)312
Answer:
A and C
Step-by-step explanation:
When you are dividing exponents you subtract. So for this problem -8 - -4 = -8 + 4 = -4. This means that the new exponent would be -4.
When you have a negative exponent, the equation is a fraction. As an example x^-5 would be equal to 1/x^5. For this equation, since you know that the new exponent is -4, an equivalent equation would be 1/3^4.
Hope this helps
Write the ratio frogs to turtles THERE are 5 turtles and 2 frogs
Answer:
5:2 please give me brainliest
Step-by-step explanation:
I"LL GIVE BRAINLEST !!! 25 POINTS !!! PLEASE HELP ITS MY LAST QUESTON!!!
A grocery store received two shipments of watermelon. Each watermelon in a shipment was weighed, then a line plot was made of all of the weights in a shipment What statement about the two plots' distributions is true?
Answer:
Statement or Option A is correct.
pam was able to bake 18 loaves of bread per hour. at this rate how many loaves of bread will she make after 25 Hours
Answer:
450
Step-by-step explanation:
No. of bread per hour multiplied by No of hours
Answer:
432
Step-by-step explanation:
multiply 18 and 24 and you get your answer:)
A 15 ft long cable is connected from a hook to the top of a pole that has an unknown height. The distance from the hook to the base of the pole is 3 ft shorter than the height of the pole.
a. What can you use to find the height of the pole?
b. Write and solve a quadratic equation to find the height of the pole.
c. How far is the hook from the base of the pole?
a. What can you use to find the height of the pole?
solution: We can use Pythagoras theorem to find the height of the pole.
b. Write and solve a quadratic equation to find the height of the pole.
solution:
a² + b² = c²
[tex]\sf (x)^2 + (x-3)^2 = 15^2[/tex]
[tex]\sf x^2 + x^2 - 6x + 9 = 15^2[/tex]
[tex]\sf 2x^2 -6x + 9 = 225[/tex]
[tex]\sf 2x^2 -6x -216=0[/tex]
[tex]\sf 2x^2 -24x +18x -216 = 0[/tex]
[tex]\sf 2x(x-12)+18(x-12) = 0[/tex]
[tex]\sf (2x + 18)(x-12) = 0[/tex]
[tex]\sf x = 12, -9[/tex]
[tex]\sf x = 12[/tex]
height of the pole: 12 ft
c. How far is the hook from the base of the pole?
solution: (x-3) → (12-3) → 9
carla makes 20$ for each lawn she mows. the money she makes depends on the number of lawns she mows. how much will she make if she mows 5 lawns?
Answer:
100$
Step-by-step explanation:
Each lawn=20$
number of lawn mowed=5
20×5=100$
geometry due tonight! any answer will be appreciated
Answer:
1. D
2. B
3. A
4. C
Step-by-step explanation:
1. The third side can't be calculated with given information
2. This is right triangle so you can use Pythagorean theorem to find hypotenuse.
6^2 + 8^2 = c^2
36 + 64 = c^2
100 = c^2
10 = c = PR
Since PM = RM, you would take half of c to find PM. So PM = 5
3. When writing congruency statement, you have to be careful with orders.
Angle A is congruent to angle E.
Angle B is congruent to angle D
So if A comes first, then E should be written first for the other side (does that make sense?)
4. For SAS, you need 2 congruent sides and 1 congruent angle. But that angle has to be in between two congruent sides.
Find the 91st term of the arithmetic sequence 4, 6, 8,
Answer:
184
Step-by-step explanation:
Find the common difference first d = 6 - 4 = 2
first term a_1 = 4
a_n = (n -1)*d + a_1
a_91 = (91 - 1) * 2 + 4
a_91 is the 91st term:
a_91 = 90*2 + 4
a_91 = 180 + 4 = 184
Please help me please please
find the area for all 6 please, will mark brainliest.
Answer:
1. 45 in²
2. 108 cm²
3. 104 m²
4. 75 in²
5. 1140 ft²
6. 166.5 mm²
Step-by-step explanation:
b=base, h=height
1. Area of triangle = [tex]\frac{1}{2}[/tex] x bh
[tex]\frac{1}{2}[/tex] x 10(9) = 45
2. [tex]\frac{1}{2}[/tex] x 12(18) = 108
3. [tex]\frac{1}{2}[/tex] x 16(13) = 104
4. Area of a trapezoid: [tex]\frac{1}{2}[/tex] x h( length of base 1 +length of base 2)
[tex]\frac{1}{2}[/tex] x 6(10+15) = 75
5. Area of kite = [tex]\frac{1}{2}[/tex] x length of diagonal 1 x length of diagonal 2
diagonal 1 = 5*9 = 45
diagonal 2 = 8*8 = 64
[tex]\frac{1}{2}[/tex] x 45(64) = 1140
6. [tex]\frac{1}{2}[/tex] x 9 (13+24) = 166.5
Help if you understand please and thanks
Answer:
1
Step-by-step explanation:
y2-y1 divided by x2-x1
12-3 divided by 20-11
which equals to 9/9 which equals to 1
Need help on this one.
Answer:
The student solved the equation correctly.
which of the following conditions is not sufficient to prove that a quadrilateral is a parallelogram?
A. Two pairs of side are parallel.
B. Two pairs of opposite sides are congruent.
C. Two consecutive angles are supplementary.
D. Two diagonals bisect each other.
Answer: D
Step-by-step explanation:
A counterexample is an isosceles trapezoid.
4^5 x 4^-7 divided by 4^-2
Step-by-step explanation:
Our expression;
[tex]\frac{4^5\times4^7}{4^-2}[/tex]
Notes;
When exponents multiply, they add.
When exponents divide, they subtract.
Multiply;
[tex]\frac{4^5\times4^7}{4^{-2}}=\frac{4^{-2}}{4^{-2}}[/tex]
Divide;
[tex]\boxed{\frac{4^{-2}}{4^{-2}}=4^0=1}[/tex]
Facts to review:
[tex]\bullet \ \tex\text{Tip 1: If there is a "multiplication" sign, then the exponents will add.} \\\\ \bullet \ \tex\text{Tip 2: If there is a "division" sign, then the exponents will subtract.}\\\\ \bullet \ \ \tex\text{Tip 3: If a number, exponent, fraction, etc. is divided by itself, the result is 1.}[/tex]
Step- by step calculations:
[tex]\bullet\rightarrow (4^{5} \times 4^{-7} ) \div 4^{-2} \\\\ \bullet\rightarrow (4^{5 +(- 7)} ) \div 4^{-2} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\tex\text{Tip 1}]\\\\ \bullet\rightarrow (4^{-2} ) \div 4^{-2}\\\\ \bullet\rightarrow \boxed{\bold{1}} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\tex\text{Tip 3}][/tex]
The solution for the given expression is 1.
The company makes a single serving cereal box that contains a volume of 1.2 ounces of cereal. They plan to make an extra large box for school cafeterias. The extra large box will be a dilation of the single serving box using a scale factor of 9/2
. How many ounces of cereal will the extra large box contain?
Answer:
109.35 ounces
Step-by-step explanation:
The scale factor is a linear scale factor.
The box is a three-dimensional solid, so the length, width, and height will be dilated by a factor of 9/2.
The volume factor is (9/2)³ = (4.5)³ = 91.125
The number of ounces is proportional to the volume.
1.2 ounces × 91.125 = 109.35 ounces
I never get help in this app but can someone at least solve this problem
Answer:
21
Step-by-step explanation:
If the angles are supplementary, that means they add up to 180 degrees.
That means if we subtract 75 from 180, we get 105.
If we divide 105 by 5, we get 21.
That means 21 * 5 + 75 = 180
or
5(21) + 75 = 180
Hope this helps!
Evaluate the expression when a = -6 and c=7.
C-8a
Answer:
55
Step-by-step explanation:
Given the following question:
[tex]c-8a[/tex]
[tex]c=7[/tex]
[tex]a=-6[/tex]
Substitute and solve by using PEMDAS:
[tex]c-8a[/tex]
[tex]7-8(-6)[/tex]
[tex]8\times-6=-48[/tex]
[tex]7--48[/tex]
[tex]7--48=55[/tex]
[tex]=55[/tex]
Your answer is "55."
Hope this helps.
Alan swam 8 kilometers against the current in the same amount of time it took him to swim 16 kilometers with the current. The rate of the current was kilometer per hour. How fast would Alan swim if there were no current?
Answer:
the answer is 96
Step-by-step explanation:
all you have to do is 8 times 12
brainliest is on the line here
1st : , Her parents didnt think much of it until she started to skip dinner with her family and even refused to go to school.'
2nd : , And with every post they make on their favorite social media site, they may be opening themselfs to all kinds of medical problems. '
brainliest<3?
Chromosomes move toward opposite ends of the cell during:
A. Interphase
B. Anaphase
C. Telophase
D. Metaphase
Answer:
B. Anaphase
Step-by-step explanation:
There is no possible way to explain this it is also not mathematics it's considered biology
What is the yearly salary for the RN working 40 hours
a week? How much more is an RN paid in a year than
an LPN?
Helpppppppppp
Answer:
RN = registered nurse
LPN = licensed practice nurse
RN earns $21.50 per hr
LPN earns $14 per hr
To calculate earnings for a 40 hour working week, multiply the rate per hour by 40:
RN earns: 21.50 × 40 = $860 per week
LPN earns: 14 × 40 = $560 per week
Difference: 860 - 560 = $300
Therefore, an RN is paid $300 more than an LPN for a 40 hour working week.
Number of weeks in a (non leap) year = number of days in a year ÷ 7
= 365 ÷ 7
= 52.14285714...
Rounding to the nearest whole number ⇒ 52 weeks in a year
To calculate the yearly salary, multiply the rate per week by 52:
RN earns: 860 × 52 = $44720 per year
LPN earns: 560 × 52 = $29120 per year
Difference: 44720 - 29120 = $15600
OR we can simply multiply the difference between the amount paid for a 40 hour week by 52:
⇒ 300 × 52 = $15600
Therefore, an RN is paid $15600 per year than an LPN.
Rebecca Wright earned $115 in simple interest for 8 months at an annual interest rate of 5%. How much money did she invest?
Answer:
The answer is 3450
Step-by-step explanation:
I=Prt
P=??
I=115
r=5%
t=8 months which is two thirds of a year
115=P×5%×2/3
115=1/30P
P=3450
Does anyone know the answer to 10 and 11??
Answer:
I do!
Step-by-step explanation:
10: It appears to be (6, 4.75)
11: It looks like (-4, -4)
You can desmos graphing calculator to check yourself, if you'd like!
I hope this helps!
the leg of an obtuse are 10 cm and 9^1/2 . How long is the hypotenuse?
Answer:
8
Step-by-step explanation:
If 8 is added to 3(√9) it is more than 10. If 10 and 3(√9) is added it is more than 8. If 8 is added to 10 it more than 3(√9).
Given a polynomial function f(x) = 2x2 – 3x + 5 and an exponential function g(x) = 2x - 5, what key features do f(x) and g(x) have in common?
A. Both f(x) and g(x) have the same domain of (9,-infinity).
B. Both f(x) and g(x) have the same range of [0,-infinity).
C. Both f(x) and g(x) have the same x-intercept of (2,0).
D. Both f(x) and g(x) increase over the interval of (-4, infinity).
Both f(x) and g(x) have the same range of [0,-infinity).
What is a function?A function is an expression that shows the relationship between two or more numbers and variables.
Plotting the functions f(x) = 2x² – 3x + 5 and g(x) = 2ˣ - 5:
Both f(x) and g(x) have the same range of [0,-infinity).
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Answer: A. Both f(x) and g(x) have the same domain of (9,-infinity).
Step-by-step explanation:
Patrick can learn 42 blessings in 6 hours. At that rate, how many blessings can he learn in 9 hours?
divide 42 by 6 and get 7 so mulyiply 7 by 9
Find the circumference.
Answer:
671.96 or 214[tex]\pi[/tex]
Step-by-step explanation:
C=2[tex]\pi[/tex]*r
C=2[tex]\pi[/tex]*107
C=2*3.14*107
C=671.96
107*2=214
barbara needed 3 1/4 cups of flower for her recipe.if she measured 1/4 cups at a times did she have to fill the measured cup
What is 750 ÷ 12000 pls
Answer:
0.0625.
Step-by-step explanation:
750/12000 as a fraction is 1/16, which is 0.0625.
Answer:
16
Step-by-step explanation:
You could divide 12000 by 16 and 750.