Answer:
f (x) = (x - 2)² + 3
Step-by-step explanation:
Adding 2 to the constant k would shift the entire equation upwards by 2.
PLS HELP TIMEDDDDDD I NEED HELP
Answer:
Option 3: 81 pi cu. in
Step-by-step explanation:
I need help I’ll mark brainy
Answer:
14.75
Step-by-step explanation:
12.50*0.18 = 2.25
12.50 + 2.25 = 14.75
What is the period of f(x) = sin(x)?
Pi over 2
Pi
3 pi over 2
2 pi
Answer:
2pi
2pi radians are equal to 360 degrees. After this point, the function f(x) = sin(x) repeats its values again. Each cycle is 2pi radians long.
Step-by-step explanation:
wedding planner does some research and finds that approximately 3.5% of the people in the area where a large wedding is to be held are pollotarian. Treat the 300 guests expected at the wedding as a simple random sample from the local population of about 2,000,000. 18) Suppose the wedding planner assumes that 5% of the guests will be pollotarian so she orders 15 pollotarian meals. What is the approximate probability that more than 5% of the guests are pollotarian and therefore she will not have enough pollotarian meals
Answer:
0.0793 = 7.93% probability that more than 5% of the guests are pollotarian and therefore she will not have enough pollotarian meals
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
3.5% of the people in the area where a large wedding is to be held are pollotarian.
This means that [tex]p = 0.035[/tex]
300 guests
This means that [tex]n = 300[/tex]
Mean and standard deviation:
[tex]\mu = p = 0.035[/tex]
[tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.035*0.965}{300}} = 0.0106[/tex]
What is the approximate probability that more than 5% of the guests are pollotarian and therefore she will not have enough pollotarian meals?
This is 1 subtracted by the pvalue of Z when X = 0.05. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.05 - 0.035}{0.0106}[/tex]
[tex]Z = 1.41[/tex]
[tex]Z = 1.41[/tex] has a pvalue of 0.9207
1 - 0.9207 = 0.0793
0.0793 = 7.93% probability that more than 5% of the guests are pollotarian and therefore she will not have enough pollotarian meals
Answer:7.93%
Step-by-step explanation:
A store owner paid $15 for a book. She marked up the price of the book by 40% to determine its selling
price.
Part A
What is the selling price, in dollars, of the book?
Enter your answer in the box.
$
Part B
A customer buys a different book that has an original selling price of $38. The bodk is discounted 25%.
The customer must pay a 6% sales tax on the discounted price of the book.
What is the total amount, in dollars, the customer pays for the discounted book?
Enter your answer in the box.
$
Answer:
The Part A answer would be 25% selling price. For Part B 10% would be the retail for the book.
Step-by-step explanation: 40% the less price 25% then next 25% less 10%.
Please help meeeeeeeeeeeeeeeee please
9514 1404 393
Answer:
2.1 ft³
Step-by-step explanation:
Put the given radius and height into the volume formula and do the arithmetic.
V = 1/3πr²h
V = 1/3(3.14159)(1 ft)²(2 ft) ≈ 2.094 ft³
Rounded to tenths, this is 2.1 cubic feet.
__
The picture cuts off your rounding requirements. If it is hundredths, you need to use 2.09 ft³. If it is thousandths, your answer will depend on the value of pi you are asked to use.
If 20 out of 25 students in a P.E. class are boys, what percent of the class is made up of boys?
There 25 pieces what is the probability of 1st pulling out a circle putting it back then pulling out a square
Answer:
3.6
Step-by-step explanation:
IXL question!!!! :geometry-tangent lines
pls help question in the pic
Answer:
Step-by-step explanation:
x-2=24 x=26
2. Triangle ABC is similar to triangle PQR. Which statement is not always true?
1) ZA-ZP 2) ZR-ZC 3) 2B-ZR 4) 2C-ZR
please help me .......
9514 1404 393
Answer:
65°
Step-by-step explanation:
Any sort of bisector divides a geometry into two congruent parts. Here, we have an angle bisector that divides the larger (130°) angle into two equal parts. The measure of each of the resulting smaller angles will be 130°/2 = 65°.
∠JAE = 65°
Can someone help me with this?
Answer:
do you still need help?
Step-by-step explanation:
A grain silo has a cylindrical shape. Its radius is 9.5 ft, and its height is 48 ft. What is the volume of the silo?
Use the value 3.14 for pi, and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.
Step-by-step explanation:
Volume of the silo
= 3.14(9.5^2)(48) sq. ft
=13602.48 sq. ft
=13602 sq. ft (cor. to the nearest integer)
Input
Output
What is the do
mapping?
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4
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O {yly=-
O {x|x=-
O {yly=
2.
ONY
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Answer:
and disgusting and annoying things to do it
V.
Simplify the expression using the distributive property.
14.
3(2x - 5)
I’m
Answer: 6x-15
Step-by-step explanation: 3 times 2x equals 6x and 3 times -5 equals 15, which makes 6x-15
Answer:
6x-15
Step-by-step explanation:
Distributive property means that you would be distributing.
So, 3 · 2x = 6x
3 · -5 = -15
You cannot simplify any further, so the final answer is 6x - 15.
Let me know if you need further clarification, and if this helped, feel free to award a Brainliest :P
The regular polygon has radii and an apothem as shown. Find the measure of each numbered angle.
9514 1404 393
Answer:
∠5 = 60°
∠6 = 30°
∠7 = 120°
Step-by-step explanation:
Since the polygon is regular, you know that the central angle (7) is 1/3 of the circle, or 120°. The angle 5 is half that measure, so is 60°, and the angle 6 is the complement of angle 5, so is 30°. (Angle 6 is also half the inscribed angle at each vertex, said inscribed angle being 120°/2 = 60°.)
∠5 = 60°
∠6 = 30°
∠7 = 120°
Hakim is making birdhouses. Each birdhouse uses 7/8 yard of wood. What is the total length of wood Hakim will need to build 5 birdhouses.
Answer: 4 3/8 yards of wood
Step-by-step explanation:
It would be 5 times the ammount needed for one birdhouse so it would be-
7/8 x 5= 35/8 or 4 3/8
Find the amount of tax and the tax rate. Round to nearest hundredth of a percent.
Cost of item: $52
Selling price: $71.97
Answer:
Amount of Tax = $19.97
Tax Rate = 28%
Step-by-step explanation:
Amount of Tax = $71.97 - $52 = $19.97
Tax Rate = 19.97/71.97 × 100
= 0.28 × 100 = 28%
Write 108 in exponential form using only prime numbers as a base
I need help with the answer
9514 1404 393
Answer:
309.33π yd³
Step-by-step explanation:
We can subtract the volume of the sphere from the volume of the cone, but we'd like to point out that said difference is irrelevant to the problem. The sphere does not fit into the cone. We cannot tell exactly how the composite figure is constructed.
__
Cone volume is ...
V = 1/3πr²h
V = 1/3π(10 yd)²(23 yd) = 2300π/3 yd³
Sphere volume is ...
V = 4/3πr³ = 4/3π(7 yd)³ = 1372π/3 yd³
The difference between the cone volume and the sphere volume is ...
(2300 -1372)π/3 yd³ ≈ 309.33π yd³
0.36(18)+0.04x=0.12(24+x)
Answer:
x = 45
Step-by-step explanation:
0.36(18) + 0.04x = 0.12(24 + x)
6.48 + 0.04x = 2.88 + 0.12x
0.04x - 0.12x = 2.88 - 6.48
-0.08x = -3.6
0.08x = 3.6
x = 3.6/0.08
x = 45
How many more students arrive by school bus than by car?
Answer:
125 more students arrive buy school bus than by car
Step-by-step explanation:
20% + 25% + 15% = 60%
Bus
100 - 60 = 40% ( bus = 40%)
40% = 0.4
0.4 × 500 = 200 (200 students get to school by the school bus)
Car
15% = 0.15
0.15 × 500 =
car = 75 (75 students get to school by car)
difference
200 - 75 = 125 students (125 more students get to school on the school bus then by a car)
volume of a cylindrical can of juice is 500cm3 and the diameter of its base is 8 cm find the height of the can of pineapple juice
Answer:
23.864cm
Step-by-step explanation:
volume of a cylinder is found by using the above formula pie × radius² × height = AREA
22/7 × 8 × h = 600cm³
25.143h= 600cm³
600÷25.143 = 23.864cm
Height = 23.864cm
Weight of three books are 23⁄4 kg, 35⁄6 kg and 23⁄8 kg. Find the total weight of all the three books.
Answer:
12.54kg
Step-by-step explanation:
(23/4 + 35/6 + 23/8)kg
[tex] = \frac{(23 \times 6) + (35 \times 4) + (23 \times 3)}{24} [/tex]
[tex] = \frac{92 + 140 + 69}{24} [/tex]
= 301/24
= 12.54kg
If each quadrilateral below is rectangle, find the missing measures #5
does anyone else play woozworld? if so, add me SummerRae0
what is the total surface area?
Answer:
231.5in squared
Step-by-step explanation:
Both faces area formula
Rectangle: l x w
triangle: b x h / 2
Find the value of x.
Answer:
Step-by-step explanation:
2.5
Can you help I’m in middle school and cant get this!
Aunt Rebecca is pricing cakes for a baby shower she is throwing. She wants one large cake shaped like a duckling and also some cupcakes in pastel colors. Winchester Bakery charges $4 for each cupcake, plus $30 for the large cake. Linda's Sweet Shoppe charges $40 for the large cake and $2 for each cupcake. If Aunt Rebecca orders a certain number of cupcakes, the cost will be the same at either bakery. What would the total cost be?
Answer:
Yes
Step-by-step explanation
13/12=1 1/12
