STEP - BY - STEP EXPLANATION
What to find?
The discounted price in dollars and cents of the clothes Zoey bought.
Given:
\([2(7.25)+2(24)]-10\)We were told from the question that the discounted price of the clothes Zoey bought can be determine using the expression above.
This implies that, to find the discounted price of the clothes Zoey bought, we simply have to simplify the expression given.
Using PEDMAS , we will go ahead and simplify.
Step 1
Open the inner parenthesis.
\([14.5+48]-10\)Step 2
Simplify the values in the parenthesis.
\(62.5-10\)Step 3
Further simplify the above.
\(=\text{ \$}52.5\)ANSWER
The discounted price in dollars and cents of the clothes Zoey bought is $52.5 which is 52 dollars 50 cents.
Jacques plays a game that involves drawing cards to move around the board. He uses a uniform probability model to determine the probability that he will win on his next turn. There are 8 blue cards, 8 green cards, 8 red cards, 8 yellow cards, and 8 orange cards. Jacques needs either a blue or an orange card to win on his next turn. What is P(blue or orange)? 120 14 310 25
Answer:
2/5
Step-by-step explanation:
Answer:
2/5
Step-by-step explanation:
Kason went to Bella's bakery and ordered 3 mango smoothies, 3 chocolate covered cherries, and 1 peanut butter cookie how much money did he spend ?
chocolate-covered cherry costs $ 0.75 mango smoothies costs $ 4.25 peanut butter cookie costs $ 1.25
Answer:
16.25
Step-by-step explanation:
3 x 0.75(chocolate covered cherries) = 2.25
3 x 4.25(mango smoothie) = 12.75
1 x 1.25( peanut butter cookie)= 1.25
12.75 + 2.25 + 1.25= 16.25
I hope this helps...
Answer:
Kaso spent $16.25 at Bella's bakery
Step-by-step explanation:
Each item costs a certain amount of money. What you have to do is multiply that amount by the number of each item. Then, add the sum.
Kason ordered 3 mango smoothies. Each smoothie costs $4.25. Therefore multiply 3(4.25)=12.75
Next, he ordered 3 chocolate covered cherries. Each cherry costs 0.75. Multiply 3(0.75)=2.25
Finally, Kason ordered 1 peanut butter cookie. Since each cookie costs 1.25, that is the amount he paid for the peanut butter cookie.
Add the 3 numbers together.
12.75+2.25+1.25=16.25
This is the amount of money he spent in total.
Helpppppppppppppppppppppp
Answer:
5250
Step-by-step explanation:
I’m not quite sure but I believe you are adding the 5% to the original 5000. 5000*(1.05) is 5250
how do you write 2 4/9 as a decimal
please help
4
2 --
9
Answer:
2.4 put a bar over the 4 because it is repeating
Step-by-step explanation:
22/9 =
22 divided by 9
equals
You have been given the task of organizing a poll regarding an upcoming election. The object is to estimate the proportion of the country that will vote to keep the current government in power. You have been told to collect a sample and find a 95% confidence interval for the proportion. This interval is allowed to have a margin of error of 3%. A preliminary investigation suggests that the proportion of people that will vote to keep the current government is 0.74. a) Calculate the minimum sample size that is required in this survey. Give your answer as a whole number. Someone working on your team reports that the information suggesting that the proportion of people that will vote to keep the current government is equal to 0.74 is out of date. In fact, some recent events in politics mean that there is no safe guess at what the proportion might be. b) Based on this new information, calculate the minimum sample size that is required in this survey. Give your answer as a whole number.
The confidence interval for the task of organizing the poll for the upcoming elections be,
(222.117 , 257.883)
Given, You have been given the task of organizing a poll regarding an upcoming election.
The object is to estimate the proportion of the country that will vote to keep the current government in power.
You have been told to collect a sample and find a 95% confidence interval for the proportion.
This interval is allowed to have a margin of error of 3%. A preliminary investigation suggests that the proportion of people that will vote to keep the current government is 0.74.
We have to find the confidence interval,
Subtract 1 from your sample size. 10 – 1 = 9.
Subtract the confidence level from 1, then divide by two.
(1 – .95) / 2 = .025
For 9 degrees of freedom df and α = 0.025, margin of error is 2.262.
Divide your sample standard deviation by the square root of your sample size.
25 / √(10) = 7.90569415
Now, Multiply 2.262 × 7.90569415 = 17.8826802
For the lower end of the range
240 – 17.8826802 = 222.117
For the upper end of the range
240 + 17.8826802 = 257.883
Hence, the confidence interval be (222.117 , 257.883)
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One carton of milk costs $0.99. What is the total cost of 102 cartons of milk?
Answer:
$100.98
Step-by-step explanation:
102*0.99 = 100.98
Answer:
$100.98 (if there is no tax)
Step-by-step explanation:
Since the cost of one is $0.99, you find 102 by multiplying 0.99 * 102
1 0 2
x0 .9 9
100.98
He wants to make five of these cakes.
How much of each ingredient does he
need?
Recipe: Makes 1 cake
3 ounces butter
4 ounces sugar
5 ounces of flour
2 eggs
1 teaspoon (tsp) baking powder
Awnser: 15 ounces of butter, 20 ounces of sugar, 25 ounces of flour, 10 eggs, 5 teaspoons of baking powder.
Explanation: Multiply everything times 5 to find how many of each ingredients you will need to have for 5 cakes!
For several hours you watch a group playing dice on the street and you notice that the owner of the dice often wins. Do
you conclude that he is just very lucky? In two ôr more complete sentences, explain why or why not you conclude that
the owner of the dice is lucky.
He isn't lucky nor unlucky
Step-by-step explanation:
If The owner Wins every round/time he has to be skilled if he's winning for several hours
Wyatt was out at a restaurant for dinner when the bill came. He wanted to leave a tip of 19%. What number should he multiply the cost of the meal by to find the total plus tip in one step?
Answer:
The cost of the meal should be multiplied by 1.19.---------------------------------------
Let the cost of the meal be x.
Adding a tip of 19%:
x + 19% = x + 0.19x = x (1 + 0.19) = 1.19xAnswer:
Wyatt should multiply with 1.19.
Step-by-step explanation:
Forming the expression,
→ 1 + (19% of 1)
Now the required number is,
→ 1 + (19% of 1)
→ 1 + ((19/100) × 1)
→ 1 + (19/100)
→ 1 + 0.19 = 1.19
Hence, required number is 1.19.
which ratio represents the probability of taking a red apple from a bag containing 8 red apples, 4 yellow apples, and 3 green apples?
Answer:
8:15
or 8/15
Step-by-step explanation:
8 out of 15
Answer:
8:15
Step-by-step explanation:
There are 8 red apples and total of 15 apples
___:21=5:7 helppp me pleasee
Answer:
15:21 = 5:7
Step-by-step explanation:
21/7 = 3
5 x 3 = 15
in a study of birth orders and intelligence, IQ test were given to 18 and 19 years old men to estimate the size of difference, if any, between the main IQs of firstborn sons and second born sons. The following data for 10 firstborn sons and 10 second born sons are consistent with the means and standard deviation's reported in the article. It is reasonable to assume that the samples come from populations that are approximately normal. First born numbers are 107, 113, 84, 126, 99, 95, 98, 109, 91, 90. Second born numbers are 112, 92, 102, 86, 97, 106, 105, 116, 109, 95. construct a 95% confidence interval for the difference in mean IQ between first born and second born sons. Let them one denote the main IQ of firstborn sons.
In a study of birth orders and intelligence, IQ tests were given to 18 and 19 years old men to estimate the size of the difference, we have that \(|t|=0.618\leq t_c =2.101\) and for this reason, we cannot reject the null hypothesis.
What are the Test Statistics?Null and Alternative Hypotheses
\(H_o: \mu_{1} = \mu_{2}\\\\Ha: \mu_1 \neq \mu_2 .\)
Since the population standard deviations are unknown, we will apply a t-test on the means of the two populations, using two independent samples.
The degrees of freedom are df = 18, and the significance threshold is set at alpha = 0.05, based on the data presented. If we assume that the population variances are the same, we can calculate the degrees of freedom in this way:
The rejection region for this two-tailed test is R = \{t : |f| > 2.101}
Therefore the Test Statistics is
\(t= \frac{X 1 -X 2 }{\frac{\sqrt{ (n_1 -1)s_1 ^ 2 +(n_2 -1)s_2 ^2}} {n_1 +n_2 -2} (( 1/n_1 + 1 n_2 )}}\)
\(t= \frac{X 1 -X 2 }{\frac{\sqrt{ (n_1 -1)s_1 ^ 2 +(n_2 -1)s_2 ^2}} {n_1 +n_2 -2} (( 1/n_1 + 1 n_2 )}}\)
t=0.618
In conclusion. we have that \(|t|=0.618\leq t_c =2.101\)
For this reason, we cannot reject the null hypothesis.
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Ryan is riding a bicycle whose wheels are 28 inches in diameter. If the wheels rotate at 130 rpm, find the angular speed in radians per second in which he is traveling.
The angular speed in radians per second in which he is traveling is 60.2pi inch/sec.
What is the relation of speed and distance?
Speed describes how accelerated something or somebody is moving. If you know the distance traveled and the time it took, we can calculate the average speed of an object.
The speed formula is speed = distance / time.
Given that;
The diameter of bicycle wheel= 28inches
Rpm of wheel = 130rpm
Now,
Angular speed ω = 2pi*N/60 radian per second.
=2*pi*130/60
=260pi/60
=4.3pi radian per second
Speed of bicycle V = r*ω
V=14*4.3pi
V=60.2pi inch/sec
Therefore, the angular speed of ryan by the data is 60.2pi inch/sec.
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Hurry - Please Help = 2 questions.
Answer:
3. f(3) = 16
4. h(3) = 4
Step-by-step explanation:
3.
f(x) = x² + 7
f(3) = 3² + 7
f(3) = 16
4.
h(x) = 12/x
h(3) = 12/3
h(3) = 4
Write a recursive sequence that represents the sequence defined by the following explicit formula:
The recursive sequence that represents the sequence defined by the following explicit formula is given as follows:
\(a_1 = -32\)\(a_{n + 1} = -\frac{1}{4}a_n\)What is a geometric sequence?A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number called the common ratio q.
The explicit formula of the sequence is given as follows:
\(a_n = a_1q^{n-1}\)
In which \(a_1\) is the first term.
The first term and the common ratio for this problem is given as follows:
\(a_1 = -32, q = -\frac{1}{4}\)
The common ratio means that each term is the previous term multiplied by -1/4, hence the recursive formula is given as follows:
\(a_{n + 1} = -\frac{1}{4}a_n\)
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Write the
degree of (x²+1) (x3 + 1)²
Answer:
The polynomial degree is 8
Step-by-step explanation:
How do division properties help you evaluate expressions?
Drag a word or number to the box to correctly complete the statement.
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
When the Response area of a fraction is equal to −1 and the numerator is nonzero, the value of the fraction is equal to the
The division property of equality simply tells us that if we divide both sides of an equation by the same number, then the equation remains the same.
How to explain the information?It should be noted that when the denominator of a fraction is equal to 1, and the numerator is nonzero, the value of the fraction is equal to the numerator of the fraction.
Fractions simply means, numbers that are not whole.
If the numerator is nonzero, and the denominator is 1; then the fraction has a value of the numerator.
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Answer:
When the denominator of a fraction is equal to 1 and the numerator is nonzero, the value of the fraction is equal to the numerator of the fraction.
Step-by-step explanation:
I took a 2.12 math quiz in K12 and got it 100% Correct! Yes!
The owner of a small deli is trying to decide whether to discontinue selling magazines. He suspects that only 10% of his customers buy a magazine and he thinks that he might be able to use the display space to sell something more profitable. Before making a final decision, he decides that for one day he will keep track of the number of customers that buy a magazine. Assuming his suspicion that 10% of his customers buy a magazine is correct, what is the probability that exactly 5 out of the first 13 customers buy a magazine?
Answer:
0.55% probability that exactly 5 out of the first 13 customers buy a magazine
Step-by-step explanation:
For each customer, there are only two possible outcomes. Either they buy a magazine, or they do not. The probability of a customer buying a magazine is independent of other customers. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
And p is the probability of X happening.
10% of his customers buy a magazine
This means that \(P = 0.1\)
What is the probability that exactly 5 out of the first 13 customers buy a magazine?
This is P(X = 5) when n = 13. So
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(P(X = 5) = C_{13,5}.(0.1)^{5}.(0.9)^{8} = 0.0055\)
0.55% probability that exactly 5 out of the first 13 customers buy a magazine
Answer:
\( P(X=5) = (13C5) (0.1)^5 (1-0.1)^{13-5}= 0.00554\)
So then he probability that exactly 5 out of the first 13 customers buy a magazine is 0.0554
Step-by-step explanation:
Let X the random variable of interest "number of customers that buy a magazine", on this case we can model the variable of interest with this distribution:
\(X \sim Binom(n=13, p=0.1)\)
The probability mass function for the Binomial distribution is given as:
\(P(X)=(nCx)(p)^x (1-p)^{n-x}\)
Where (nCx) means combinatory and it's given by this formula:
\(nCx=\frac{n!}{(n-x)! x!}\)
We want to find this probability:
\( P(X=5)\)
And using the probability mass function we got:
\( P(X=5) = (13C5) (0.1)^5 (1-0.1)^{13-5}= 0.00554\)
So then he probability that exactly 5 out of the first 13 customers buy a magazine is 0.0554
g given an input list, let's use list comprehension to generate a list of odd numbers from the input list
Input: list1 = [2, 7, 5, 64, 14]
Output: [7, 5]
Input: list2 = [12, 14, 95, 3, 73]
Output: [95, 3, 73]
Using for loop: Iterate each element in the list using for loop and check if num % 2 != 0. If the condition satisfies, then only print the number.
# Python program to print odd Numbers in a List
# list of numbers
list1 = [10, 21, 4, 45, 66, 93]
# iterating each number in the list
for num in list1:
# checking condition
if num % 2 != 0:
print(num, end=" ")
Output: 21 45 93
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Find the perimeter and area of the rectangle.
20 ft
7 ft
The perimeter is
ft and the area is
Answer:
Area is 140 ft2
perimeter is 54 ft
Answer:
54 and 140
Step-by-step explanation:
If the lengths are 20ft and 7ft, then you can just add 20+20+7+7, which equals 54.
The area is 140, because if you multiply 20 by 7, thn you get 140.
Hope that this helps!
9 4/7 as an improper fraction
NEED THIS ASAP WILL GIVE BRAINLIEST HELP!
Answer:
D. Alternate Interior Angles Converse
Edplanation:
13 ~= 12
13 altenated angle to nr.10
13 is parpendicular to nr.15 and 15 is alternate to 12
3
Liz makes footprints in the snow with her boots that are
foot long. Liz's feet are only
2
3
foot long.
What expression can be used to find out how much longer Liz's boot prints are than her feet?
Answer:
See Explanation
Step-by-step explanation:
The question has missing details; However, the following explanation will guide.
Represent the boots print with y and the Liz's feet with x
To calculate how much the boot is longer than her feet, we simply get the difference between the length of the boot's print and her feet;
i.e.
\(Difference = y - x\)
Note that her boot print (y) will always be greater than her feet (x)
Take for instance;
\(y = 3\ ft\)
\(x = 2\ ft\)
The difference will be
\(Difference = 3ft - 2ft\)
\(Difference = 1ft\)
Please help worth 10 points is this true that line n is perpendicular to line p? I think the answer is C, is this correct or not?
Answer: A
because slope are
Increase 40 by 1/2
I need help, im bad at mathematics.
Answer:
The answer is :60
Step-by-step explanation:
Hmmmm...... because
The sum of two numbers is 998
The difference between them is 10
What are the two numbers?
Answer:
The two numbers are 494 and 504
Step-by-step explanation:
Let x = one of the numbers
Let y = the other number
x + y = 998
x - y = 10 or x = y + 10
Substitute y + 10 for x in the first equation and solve for y
x + y = 998
y + 10 + y = 998 Subtract 10 from both sides
y + y = 988 Combine like terms
2y = 988 Divide both sides by 2
y = 494
One of the numbers is 494.
x = y + 10 Substitute 494 for y
x = 494 + 10
x = 504
The other number is 504.
Check:
x + y = 998
504 + 494 = 998
998 = 998 checks
x - y = 10
504 - 494 = 10
10 = 10 checks
Helping in the name of Jesus.
Apply all relevant properties of exponents to simplify the following expression. Assume all variables are nonzero. All exponents entered
Answer:
\(z^{10}\)Explanation:
Given the expression below:
\(\mleft(\frac{z^9}{z^4}\mright)^2\)Step 1: Apply the division law of indices.
If we have the same base, and the expression is being divided, subtract the indices.
\(\begin{gathered} =(z^{9-4})^2 \\ =(z^5)^2 \end{gathered}\)Step 2: Multiply the indices by the index law of powers.
\(\begin{gathered} (a^m)^n=a^{m\times n} \\ \implies(z^5)^2=z^{5\times2}=z^{10} \end{gathered}\)The simplified expression is z^(10).
Can someone please answer and provide an explanation for these problems?
Step-by-step explanation:
The way you can think about volume is that we have some cross sectional area times the height of the solid.
27.
The volume of a square based pyramid is
\(v = {s}^{2} ( \frac{h}{3} )\)
where h is the height of the pyramid
s is the side length of the square base.
S=7
h=12
\(v = {7}^{2} ( \frac{12}{3} ) = 49 \times 4 = 196\)
28. The volume of a rectangular prism
\(v = l \times w \times h\)
where l is length
w is width
h is height
\(v = 11 \times 11 \times 8 = 968\)
29.
Use the same formula in 27
\(v = 100(3) = 300\)
30.
Volume of a Cylinder is
\(v = \pi {r}^{2} h\)
where r is the radius of the circle
where h is the height
r is half of the diameter
The diameter is 22, thus the radius is 11.
\(v = {11}^{2} (8)(\pi)\)
\(v = 968\pi\)
pi is approximately 3.14
\(v = 3041.06\)
31. Volume of A Sphere
\( \frac{4}{3} \pi {r}^{3} = v\)
The radius is half of diamter, thus r=7
\( \frac{4}{3} \pi( {7}^{3} ) = 1436.76\)
Helppppppp mmemeeeeme plzzzz
Hope this helps you solve your math problem.
The meal tax is 7.15%. How much will a customer pay if the food and beverages total is 56
Answer: 60.004
Step-by-step explanation:
56 x 0.0715= 4.004
56+4.004= 60.004