Let
p--------> the number of packages Tatiana needs to buy
we know that
[tex] 4p+5 \geq 32\\ 4p \geq (32-5)\\ 4p \geq 27\\\\ p \geq \frac{27}{4} \\ \\ p \geq 6.75 [/tex]
therefore
the minimum number of packages does Tatiana needs to buy is [tex] 7 [/tex]
let's check
[tex] 7*4+5=33 [/tex] bracelets
[tex] 33 \geq 32 [/tex] ------> is ok
the answer is
the minimum number of packages is [tex] 7 [/tex]
PLEASE HELP WITH SOME GEOMETRY
Prove the following statement by contradiction using an indirect proof. In a triangle angle A = 90°, then the triangle is a right triangle. Which of the following choices would be the first step to temporarily assume?
angle A = 90°
the triangle is a right triangle
the triangle is not a right triangle
angle A is not 90°
HELP!! A spherical ball just fits inside a cylindrical can, 16 centimeters tall, with a diameter of 16 centimeters. Which expression gives the volume of the sphere in cubic centimeters?
formula for volume of a sphere is V=4/3 x pi x R63
if diameter = 16 than radius = 16/2 = 8
so the equation would be 4/3 x pi x 8^3
an actor gains 20pounds for a part and then losses 15 pounds during the filming of the movie to go along with the story.who do you write a addition expression to describe this situation
An apple farmer has planted 0.3 of his orchard with cherry trees. The orchard is 8.59 acres in size. How many acres are planted with cherry trees
Name the three different types of proof in math and give a description of each
Find the area of a triangle with legs that are: 15mm,10mm,20mm
The area of a triangle with legs that are 15 mm, 10 mm, and 20 mm is [tex]72.618 mm^{2}[/tex]
Further Explanation;Area Area is a measure of how much space is occupied by a given shape. Area of a substance is determined by the type of shape in question.For example;
Area of a rectangle is given by; Length multiplied by width Area of a circle = πr². where r is the radius of a circle, Area of a square = S², Where s is the side of the square.etc.Area of a triangle The area of a triangle is given based on the type of the triangle in question.Right triangle.The area of a right triangle is given by;= 1/2 x base x height
Scalene triangleIt is a triangle that with sides and angles that are not equal.Area of a scalene triangle depends on the features of the triangle given.For example;
Sine FormulaArea of a triangle = 1/2 ab sin θ, when given two sides of the triangle and the angle between themHeron's formulaArea of a triangle = [tex]\sqrt{s(s-a)(s-b)(s-c)}[/tex] when given all the sides of the triangle. where [tex]s =\frac{(a+b+c)}{2}[/tex]In this case we are given, a = 15 mm, b = 10 mm, c = 20 mm
Therefore, we use the Heron's formula;
Area= [tex]\sqrt{s(s-a)(s-b)(s-c)}[/tex]
[tex]s =\frac{(a+b+c)}{2}[/tex]
[tex]s= \frac{(15+10+20)}{2} \\s= 22.5[/tex]
Therefore;
Area = [tex]s\sqrt{s(s-a)(s-b)(s-c)}[/tex]
= [tex]22.5\sqrt{22.5(22.5-15)(22.5-10)(22.5-20)}[/tex]
=[tex]\sqrt{22.5(7.5)(12.5)(2.5)} \\\sqrt{5273.4375}[/tex]
[tex]= 72.618 mm^{2}[/tex]
Keywords: Area, Area of a triangle, Heron's formula, Sine formula, Scalene triangle.
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Subject; Mathematics
Topic: Area
Sub-topic: Area of a triangle
True or false: the difference between the lower limit of a confidence interval and the point estimate used in constructing the confidence interval is called the sampling error.
which algebraic expression represents the phase
Convert decimal +49 and +29 to binary, using the signed‐2’s‐complement representation and enough digits to accommodate the numbers. then perform the binary equivalent of (+29) + (-49), (-29) + (+49), and (-29) + (-49). convert the answers back to decimal and verify that they are correct.
To solve this problem, let us first find for the binary equivalents of the numbers. They are:
Decimal --> Binary
+ 29 --> 00011101
+ 49 --> 00110001
- 29 --> 11100011
- 49 --> 11001111
Now we apply the normal binary arithmetic to these converted numbers:
(+ 29) + (- 49) ---> 00011101 + 11001111 = 11101100 ---> - 20 (TRUE)
(- 29) + (+ 49) ---> 11100011 + 00110001 = 00010100 ---> + 20 (TRUE)
(- 29) + (- 49) ---> 11100011 + 11001111 = 10110010 ---> - 78 (TRUE)
Which quantity is proportional to 20/5?
A pharmacist has 40% and 80% iodine solutions on hand .How many liters of each iodine solutions will be required to produce 6 liters of a 50% iodine mixture?
let f(x)=4x-1 and g(x)=2x^2+3. perform the function operation and then find the domain. To
f(x) + g(x)
Gabrielle's age is three times Mikhail's age. The sum of their ages is 44. What is Mikhail's age?
Can anyone help me solve a trigonomic identity problem and also help me how to do it step by step?
it's ((cos theta) * (cot theta))/(1-sin theta) - 1 = csc theta
jim sold 200 litters of soda at baseball game.How much is this in milliters?
A study of sleep patterns randomly selected participants in the study to sleep in either a dark room or a room with light.
Which element of experiment design is known to be a part of this study?
A.
blinding
B.
replication
C.
randomization
Answer:
C. randomization
Step-by-step explanation:
We are told that the study randomly selects participants in the study to sleep in either a dark room or a room with light. This means that randomization is part of the study.
How can I use context clues and keywords to translate situations into inequalities? Explain with an example of your own.
To translate situations into inequalities, use context clues and keywords. Start by understanding the relationships and factors involved. Then, represent the situation with variables and create an inequality based on the context clues. For example, if Bob earns $10 more than Alice, the inequality would be 'a < a + 10'.
Explanation:In order to use context clues and keywords to translate situations into inequalities, it's important to understand the relationships and factors involved. Let's take an example:
Scenario: Suppose you have two friends, Bob and Alice. Bob earns $10 per hour more than Alice. In this case, we can use the following context clues:
The relationship between Bob and Alice: Their wealth is unequal.The factor involved: The difference in their earnings.We can now translate this situation into an inequality:
Let's say Alice's earnings are represented by 'a'.Bob's earnings would be 'a + 10' (since he earns $10 more).The inequality can be represented as 'a < a + 10' (Alice's earnings are less than Bob's earnings).By using the context clues and the keywords (earnings, difference), we were able to translate the situation into the inequality 'a < a + 10'.
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How to solve 7.86 x 4.6
What's the next value?
1 I 2 L 3 F 4
Find the area under the standard normal curve between z = −2.57 and z = 1.27. Round your answer to four decimal places, if necessary.
The area under the standard normal curve between z = −2.57 and z = 1.27 is, 0.8929
What is meant by Probability?The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
We have to give that,
To find the area under the standard normal curve between z = −2.57 and z = 1.27.
Now, the area under the standard normal curve is between z = −2.57 and z = 1.27 is,
P(-2.57 ≤ Z ≤ 1.27) = P(Z ≤ 1.27) - P(Z ≤ -2.57)
Since, P(Z ≤ 1.27) = 0.8980
And, P(Z ≤ -2.57) = 1 - P(Z ≤ 2.57)
= 1 - 0.99488
= 0.00512
Hence,
P(-2.57 ≤ Z ≤ 1.27) = 0.8980 - 0.00512
= 0.89288
= 0.8929
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2/3 of a number is 32, what is the number?
A company uses a variable percentage markup of 35% .if the total cost of a product is $15,what is its selling price
The selling price of a product with a 35% markup on a cost of $15 is calculated by adding the markup amount of $5.25 to the cost, resulting in a selling price of $20.25.
Explanation:To calculate the selling price of a product using a variable percentage markup, you first need to determine the amount of markup by converting the percentage to a decimal and multiplying by the cost of the product. In this case, with a 35% markup on a product that costs $15, the calculation is as follows:
$15 × 0.35 = $5.25
This $5.25 represents the amount of markup on the product. To find the selling price, you simply add the markup to the cost:
$15 + $5.25 = $20.25
Therefore, the selling price of the product would be $20.25.
Multiply and Dividing Rational Numbers
8/9 ÷ 2/3
7/8 × 1/4
3/4×1/6
amy has 72 sweets in bag.she keeps 1/4 of them for herself,but shares the remainder between 6 of her friends.how many sweets will she give to each of her friends?
Use appropriate algebra and theorem 7.2.1 to find the given inverse laplace transform. (write your answer as a function of t.) −1 s (s − 5)(s − 6)(s − 30)
On average, Donna's Cafe has 18 customers, which represents 36% of the total approved occupancy by the fire department. a. What is the total approved occupancy of the cafe by the fire department? Total approved occupancy = customers b. According to the fire department's occupancy approval, what percentage of the cafe is still available for customers? Available occupancy percentage = % c. According to the fire department's occupancy approval, how many seats are still available for customers? Seats still available =
Madison deposited a total of $5,000 between two saving accounts bearing simple interest. One of the accounts has an interest rate of 4% while the other rate is 5%. If the total interest earned after one year is $220, find the amount deposited into each of the accounts.
A home pregnancy test is not always accurate. suppose the probability that the test indicates that a woman is pregnant when she actually is not is 0.02, and the probability the test indicates that a woman is not pregnant when she really is, is 0.03. assume that the probability that a woman who takes the test is actually pregnant is 0.7. what is the probability that a woman is pregnant if the test yields a not pregnant result?
The probability of a woman being pregnant if a home pregnancy test yields a negative result can be calculated using conditional probabilities and Bayes' theorem. From the provided probabilities, we can substitute into Bayes' theorem to calculate this probability.
Explanation:The subject of this question is based on conditional probabilities. From the question we know that:
The probability of the test indicating a woman is pregnant when she's not (false positive) is 0.02 i.e., P(Positive|Not Pregnant) = 0.02 The probability of the test indicating a woman is not pregnant when she actually is (false negative) is 0.03 i.e., P(Negative|Pregnant) = 0.03 The probability that a woman who takes the test is actually pregnant is 0.7 i.e., P(Pregnant) = 0.7
From the above, we can find the probability of a woman being pregnant even though the test results are negative. To find this we need to use Bayes' theorem, which states:
P(A|B) = P(B|A) * P(A) / P(B)
So, to calculate the probability of a woman being pregnant given a negative test result P(Pregnant|Negative), we need the probability of getting a negative result when pregnant P(Negative|Pregnant), the probability of a woman actually being pregnant P(Pregnant), and the total probability of getting a negative test result P(Negative).
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If you were to use the substitution method to solve the following system, choose the new equation after the expression equivalent to y from the second equation is substituted into the first equation.
2x – 7y = 4
3x + y = –17
If prices Increase at a monthly rate of 2.3%, by what percentage do they increase in a year?