Answer:
36 cupcakes per hour
Step-by-step explanation:
288 cupcakes divided by 8 hours
288/8=36
How can a sequence of transfomations map a figure onto itset?
Carter plans to read 4 books during summer break: Charlottes web, Grasshopper summer, Diary of a Wimpy Kid, and Diary of a Wimpy kid 2. He wants to read diary of a wimpy kid 2 after diary of a wimpy kid. How many different orders can he read his books in?
Answer: 32
Step-by-step explanation:
4 x 4 x 4
Answer:12
Step-by-step explanation:
Just got it from the practice Test.
A quality control inspector has drawn a sample of 10 light bulbs from a recent production lot. Suppose 20% of the bulbs in the lot are defective. What is the probability that exactly 6 bulbs from the sample are defective? Round your answer to four decimal places.
Answer:
33.33 repeating percent.
Step-by-step explanation:
So using the 20 percent, we can guess there will be 2 bulbs that are defective in the sample. So 2/10. But we are guessing there will be 6;6/10. We alreadly know the proablity of that is low. To be exact 2/6 (as they are both over ten we can get rid of that) or 1/3, or 33.333 repeating percent.
Hope this helps!
Standard normal curve. Very confused
Each shaded area represents a probability. The first plot, for instance, represents the probability P (-z ≤ Z ≤ z) = 0.8064 for some number z that you have to find. To find these z, you'll need to be familiar with properties of the normal distribution as well as with lookup tables for z-scores or using inverse CDFs. (I'll provide a link in the comments to a calculator you can use.)
(a) The area under the curve between -z and z is 0.8064. This means the area outside this interval is 1 - 0.8064 = 0.1936. Because the distribution is symmetric about its mean (0 for the standard normal distribution), you know that the area under the curve to either side of the shaded region is half of this, or 0.0968. This area corresponds to the probability P (Z ≤ -z).
So you have
P (-z ≤ Z ≤ z) = P (Z ≤ z) - P (Z ≤ -z) … … … (a property of continuous distributions)
0.8064 = P (Z ≤ z) - 0.0968 ==> P (Z ≤ z) = 0.9032
and looking up the z-score, you would find z = 1.3.
(b) Because this distribution is symmetric about the mean, the mean is the same as the median, which is the number z such that P (Z ≤ z) = 0.5. In other words, half of the entire distribution falls to either side of the mean.
We use this fact to write
P (0 ≤ Z ≤ z) = P (Z ≤ z) - P (Z ≤ 0) = P (Z ≤ z) - 0.5 = 0.4452
==> P (Z ≤ z) = 0.9452
==> z ≈ 1.6000
(c) Keep in mind that the CDF is defined as P (Z ≤ z), so in order to find a probability like P (Z ≥ z), you have to take the complement:
P (Z ≥ z) = 1 - P (Z ≤ z) = 0.1711 ==> P (Z ≤ z) = 0.8289
==> z ≈ 0.9498
(d) Same reasoning as in (c):
P (Z ≥ z) = 1 - P (Z ≤ z) = 0.9918 ==> P (Z ≤ z) = 0.0082
==> z ≈ -2.3999
(e) Much more straightforward:
P (Z ≤ z) = 0.9115 ==> z ≈ 1.3501
Graph the inequality 7≤ y -3x < 11
Answer:
1
Step-by-step explanation:
If the ratio of a circle's sector to its total area is 1/3, what is the measure of
its sector's arc?
A. 120 degrees
B. 250 degrees
C. 180 degrees
O D. None of the above
Answer:
option A: 120°
Step-by-step explanation:
[tex]Area \ of \ circle = \pi r^2\\\\Area \ of \ sector = \pi r^2 \frac{ \theta}{360}\\\\Ratio \ of \ sector \ to \ circle = \frac{1}{3}\\\\That is, \\\frac{1}{3} = \frac{\pi r^2 \frac{\theta}{360}} {\pi r^2}\\\\\\\frac{1}{3} = \frac{\theta}{360} \\\\\frac{360}{3} = \theta\\\\120 = \theta[/tex]
12. Translate “the sum of 6 and the product of 8 and x” into a mathematical expression
Answer:
6+8x
Step-by-step explanation:
Consider the original triangle and the reduction.
A triangle has a base A and height 8 centimeters. Another triangle has a base of 3 centimeters and height of 4 centimeters.
What is the length of side A in centimeters?
6 cm.
Explanation:
Since they've given use the area of the triangle, we can use the area formula to find the base of the triangle.
The formula to find the area of a triangle is:
a
=
1
2
h
b
→
(
h = height
,
b= base
)
We know:
a
=
24
h
=
8
So we can substitute them in and find
b
:
24
=
1
2
(
8
)
b
Multiply by sides by 2 and then divide:
24
×
2
=
1
2
(
8
)
b
×
2
48
=
8
b
6
=
b
The base of the triangle is
6 cm.
ur welcome ♥️♥️
Mariana tried to drink a slushy as fast as she could. She drank the slushy at a rate of 4.5 milliliters per second. After 17 seconds, 148.5 milliliters of slushy remained.
How much slushy was originally in the cup?
9514 1404 393
Answer:
225 mL
Step-by-step explanation:
The amount Mariana drank was ...
(4.5 mL/s)×(17 s) = 76.5 mL
The original quantity is that amount added to the amount remaining:
original amount = amount drunk + amount remaining
= 76.5 mL +148.5 mL
original amount = 225 mL
Josef got 80% on a true/false science quiz. He got 20 questions right. How many questions were on the test? (Show all of your calculations)
Molly wants to buy a raincoat for her pet. If the raincoat cost $39.99 and has a sales tax rate of 7%. What will be the final price (with tax) of the raincoat?
Answer:
$42.7893 or $42.79 rounded
Find the function value, if possible. (If an answer is undefined, enter UNDEFINED.)
f(x) = 3x - 4
f(x + 2)
Answer:
f(x + 2) = 3x + 2
Step-by-step explanation:
Simply replace wherever you find x in the function f(x) with (x + 2), like so:
f(x + 2) = 3(x + 2) - 4
f(x + 2) = 3x + 6 - 4
f(x + 2) = 3x + 2
nine of 20 people surveyed preferred chocolate ice cream to vanilla ice cream . what percentage prefered chocolate ice cream? what fraction prefered vanilla ive cream
Answer:
percent: 45%
fraction: 11/20
Step-by-step explanation:
BRAINLIST BRAINLIST WHO WANTS BRAINLIST ANSWER AN HERE IS YOU FRESH BRAINLIST
Answer b
Step-by-step explanation: :)
Answer:
A. the maximum value would increase
C. the median would stay the same
graph the following inequality
[tex]7x - y \geqslant 14[/tex]
PLEASE HELP ME !
Answer:
I can't exactly draw this out on this website, but I can tell you how to do it:
First, solve the inequality so it resembles a function:
7x - y ≥ 14
-y ≥ -7x + 14
y ≤ 7x - 14 (Both side multiply by -1)
Then, graph y = 7x - 14
Draw a straight line (Don't do the dotted lines because it's not > or <)Here's a couple of points to get started: (0, -14), (1, -7)Finally, because y is less than/equal to 7x - 14, shade in the area under/below the line(where the y-values are smaller).
Hope it's helpful enough
Find n(A) for the following set.
A = the set of integers between – 30 and 30
Answer:
n(A) =61
Step-by-step explanation:
From - 30 to 30 there are 61 numbers
Therefore number of elements in A is 61
Which of the following elements is present in the above spectrum
Answer:
umm sorry but you haven't given the examples yet!!
From the top of a lighthouse 280 feet tall, to keep her spot a ship in distress at an angle of depression of 18°. How far is the boat from shore(The base of the lighthouse) round to the nearest foot
Given:
Height of the lighthouse = 280 feet
The angle of depression from the top of the lighthouse to a ship = 18°.
To find:
The distance between boat and shore.
Solution:
Draw a diagram by using the given information.
In a right angle triangle,
[tex]\tan \theta=\dfrac{Perpendicular}{Base}[/tex]
In triangle ABC,
[tex]\tan C=\dfrac{AB}{BC}[/tex]
[tex]\tan 18^\circ=\dfrac{280}{BC}[/tex]
[tex]BC=\dfrac{280}{\tan 18^\circ}[/tex]
Using a calculator, we get
[tex]BC=\dfrac{280}{0.3249}[/tex]
[tex]BC=861.80363...[/tex]
[tex]BC\approx 862[/tex]
Therefore, the boat is 862 feet away from shore.
510.4 in
Scientific Notation I need an answer please
Answer:
5.104 X 10^2
Step-by-step explanation:
Answer:
510.4 trillion in scientific notation = 5.104 × 1014.
Step-by-step explanation:
This can also be expressed as 5.104 × 10^14, using the caret symbol, or as 5.104e+14, which is called 510.4 trillion in e-notation,
Please Brainly help me I beg you - no links please
Answer:
156
The angle measurement is reasonable. It must be less than 180 which is a straight line
Step-by-step explanation:
Vertical angles are equal
3x = x+104
Subtract x from each side
3x-x = x+104-x
2x = 104
Divide by 2
2x/2 = 104/2
x = 52
3x = 3*52 = 156
The angle measurement is reasonable. It must be less than 180 which is a straight line
Please help me please help me if you don't know gently move your hand
i will make you brainliest with 15 points
Answer:
7cm
14cm
dπ or 2r π
14π or 2(7π)
Step-by-step explanation:
Radius = 7cm
Diameter = 7 x 2 = 14cm
Circumference = 2 x π x r = dπ
Circumference Value = 2 x π x 7 = 14π
Answer:
Radius: 7 cm
Diameter: 14 cm
Circumference Formula: c = dπ or c = 2rπ
Circumference Value: c = 14π or c = 2(7π)
Step-by-step explanation:
We are given that the radius of the circle is 7 cm. The diameter will always be twice as large as the radius so that will lead us to 14 cm as the diameter of the circle. The formula is quite simple. There are two different types of formulas for finding the circumference of a circle. If only the diameter is given, then we use the formula c = dπ, where d is for diameter and π is for pi or 3.14159. If only the radius is given, then we use the formula c = 2rπ, where r is for radius and π is for pi or 3.14159. In this case, we are going to use the formula for radius since only the radius is given. Simply plug in the value for radius then multiply the radius to π or 3.14159 and multiply the product by 2 to get the circumference of the circle. If I am wrong, please let me know. I hope this helps! :D
The mean annual premium for automobile insurance in the United States is $1,499. Being from Pennsylvania, you believe automobile insurance is cheaper there and wish to develop statistical support for your opinion. A sample of 25 automobile insurance policies from the state of Pennsylvania showed a mean annual premium of $1,440 with a standard deviation of s = $150.
a. Develop a hypothesis test that can be used to determine whether the mean annual premium in Pennsylvania is lower than the national mean annual premium.
b. What is a point estimate of the difference between the mean annual premium in Pennsylvania and the national mean (to the nearest dollar)?
Answer:
a) Then, t(s) is in the rejection region. We can not support that the mean annual premium in Pennsylvania is lower than the national mean annual premium
b) The point estimate of the difference is 59 $
Step-by-step explanation:
From sample we get:
sample size n = 25
annual mean x = 1440
standard deviation of the sample s = 150
mean for the mean annual premium μ = 1499
Hypothesis Test:
Null Hypothesis H₀ x = μ
Alternative Hypothesis Hₐ x < μ
Alternative Hypotesis indicates that the test is a one-tail test to the left
Let´s assume confidence Interval 95 % then α = 5 % α = 0.05
As n < 30 and we assume normality we will make a t-student test
degree of freedom df = n - 1 df = 24
With df = 24 and α = 0.05 and from t-student table we get t(c) = - 1.711
To calculate t(s) we apply:
t(s) = ( x - μ ) / s/√n
t(s) = ( 1440 - 1499 ) * 5 / 150
t(s) = - 59/ 30
t(s) = - 1.96
Comparing t(s) and t(c)
|t(s)| > |t(c)|
Then, t(s) is in the rejection region. We can not support that the mean annual premium in Pennsylvania is lower than the national mean annual premium.
b) The point estimate for the difference is : x - μ = 59 $
There are 3 boys to every 5 girls in a class. The class has 64 students. How many boys are there
and how many girls?
Anyone care to give me a hand with this?
Please help need this rn
Answer:
41
Step-by-step explanation:
0,5r = 20,5|:0,5
r = 41
Suppose you can make your own ice cream cone by choosing the type of cone, the flavor of ice cream, and the toppings. The number of choices is 4 cones, 6 flavors, and 14 toppings. What principle would you use to determine how many different dinner menus can be chosen?
Answer:
ELHLADOE
Step-by-step explanation:
The number of ways using permutation and combination of ice cream is = 4*6*14 ways.
What are permutation and combination?The distinctive methods of arranging a set of items right into a sequential order are termed Permutations. one of the several methods of choosing items from a massive set of gadgets, without thinking about an order is termed a mixture.
mixture and permutation are extraordinary methods of grouping elements of a set into subsets. In aggregate, the factors of the subset may be listed in any order. In a permutation, the elements of the subset are indexed in a particular order.
explanation:
using multiplication rule of probability.
=The number of choices is 4 cones
= The number of choices of flavour = 6
= The number of choices topping = 14
Hence total combination is = 4*6*14
336.
A permutation is a mathematical calculation of the variety of approaches a selected set can be organized, wherein the order of the arrangement topics.
Learn more about combination and permutation here:-https://brainly.com/question/11732255
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NO FILES HELP WHAT IS THE ANSWER Given Circle Z with tangents XW and XY what is the measure of arc WVY
Answer:
c. 250
Step-by-step explanation:
Can someone help me? Step by step, no links. Will give brainliest to the right answer
Answer:
I'm pretty sure it's 3/5
What type of angle is shown below?
O acute
O obtuse
Oright
O straight
Answer:
Straight
Step-by-step explanation:
Its 180° or a straight line
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
Straight po di kopo sure
Step-by-step explanation:
Hope it helps
7*7*7*7*7 written in exponential form
Answer:
7^5
Step-by-step explanation:
7x7x7x7x7 is equal to 7^5. Depending on how much sevens there are, that is the power number. In this case there are 5 sevens so that means it is 7^5.
If this helps please mark as brainliest
Answer:
7^5
Step-by-step explanation:
see image below:)
Please help!! Solve for x. Assume that lines which appear to be diameters are actual diameters.
Answer:
A)-4
Step-by-step explanation:
180=120+x+64
x=180-120-64
x=-4