The equation that shows the way that Mimi can spend a $25 is 2.99p + 4.99t = 25.
What is an equation?A mathematical equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.
Let the premium skins be p.
Let the number of tools be t.
This will be illustrated as:
(2.99 × p) + (4.99 × t) = 25
2.99p + 4.99t = 25
This illustrates the equation.
The complete question is given below.
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Mimi wants to spend a $25 gift card on two kinds of in -app purchases for her favorite game: premium skins that cost $2.99, and tools that cost $4.99. What is the equation to depict this?
A parabola can be drawn given a focus of (7,-3) and a directrix of y=-7. Write
the equation of the parabola in any form.
Find the perimeter of a rectangular garden that has a width of 4x−6 and a length of 2x+4. A6x−2B12x−4C8x^2+4x−24D12x^2+20
The perimeter of a rectangular garden with width w = 4x - 6 and length l = 2x + 4 is given by: 2w + 2l = 2(4x - 6) + 2(2x + 4) = 8x - 12 + 4x + 8 = 12x - 4
Answer: option B
an opinion poll of 4,000 (randomly selected) voters is con- ducted. the fraction of all voters in the population with an annual income above $50,000 is 35%. what is the chance that 1,450 or more of the voters with annual incomes above $50,000 will be polled?
4.8% of voters with annual incomes over $50,000 will be polled, or at least 1,450 of them when an opinion poll of 4,000 (randomly selected) voters is con.ducted
What is probabilty ?
Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is basically what probability means. You will understand the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution. Knowing the total number of outcomes is necessary before we can calculate the likelihood that a specific event will occur.
We have,
n = 4000
p = 0.35 , q=1-p=0.65
= E(X) = np= 4000 (0.35) 600 1400
6 = SE(X) = √npq √ 4000 (0-35)(0.65) = 30.1662
Consider
P(X[tex]\geq[/tex]1450) = p 7
X-U
1450 1400
30.1662
=P(z>1,66)
=0.048457
from standard normal table,
Hence, 4.845% chance that 1,450 or more of the voters with annual incomes above $50,000 will be polled
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How to solve 9/10 x 5/2 -5/4
The solution for the given algebraic expression is 1.
Is there any order to solve Math Operations?Yes, there is. When you solve any Math Operations, it is necessary to be attentive to the order of the solution.
First, you should solve the operation insides of Parentheses. After that priority is given to Exponents. Thereon, you can solve multiplication or division operations from left to right. Finally, addition or subtraction from left to right
See the order below
Parentheses Exponents Multiplication or Division from left to right Addition or Subctration from left to rightThe question gives:
9/10 x 5/2 -5/4
Following the order of operations:
Multiply from left to right9/10 * 5/2 = 45/20
Simplifying[tex]\frac{45:5}{20:5} =\frac{9}{4}[/tex]
Subtract from left to right
9/4 - 5/4 = 4/4 =1
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using a survey, we have obtained a large dataset of how many close friends people have. its mean is 7 and its median is 4. the variance is 100. we calculate the standard scores. what is the value of the median of the standardized dataset? group of answer choices
For the standardized dataset , the value of median = mean , which is equal to 7
The mean of the close friends people have = 7
The variance = 100
Standard deviation can be found using the formula
v = σ²
where v is the variance and
σ is the standard deviation
Then , σ² = 100
σ = √100
σ = 10
Therefore , the standard deviation for the close friends have is 10
The standard score for these vales can be found using the formula
Z = (X - μ) / σ
where Z is the standard score
X is the raw score
μ is the mean
σ is the standard deviation
Using this formula, the standard score of any raw score can be calculated.
For, the standardized dataset , the value of median will be equal to value of median.
Median = mean
Median = 7
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Is 4 a factor of 64? How do you know?
Answer: yes
Step-by-step explanation: 64 is a factor of 4 because you can multiply it by 16 to get 64. Remember if you divide and get a whole number it is a factor .
PLEEEEASE ANSWER ASSAP
Subtract and simplify:
812 − 523 = _____
Answer:
Step-by-step explanation: 812 - 523 = 289
Jungkook has 84 coins. Of the coins, 7/12 are nickels, 3/12 are dimes, and the rest are quarters. What is the raito of Jungkook's nickels to dimes to quarters?
If 7 out of every 12 coins are nickles (7/12) and 3 out of every 12 coins are dimes (3/12), there has to be 2 quarters out of every 12 coins (2/12)
Now, the ratio would be:
[tex]7\colon3\colon2[/tex]stephan is reviewing the data on product returns for an online retailer. thus far, 3.5% of all sold units were returned. if stephan takes 200 sold unit records, what is the probability that at most 6 units were returned?
3.5% of all sold units have been returned so far. The probability that at most 6 units were returned out of 200 sold unit records is 0.7323.
Given that,
For an online store, Stephan is evaluating the data on product returns. 3.5% of all sold units have been returned so far.
We have to find what is the probability that at most 6 units were returned out of 200 sold unit records.
From binomial,
Binomial to normal approximations without continuity factor Sample size ,
n = 200
Probability of an event of interest,
p = 0.035
P(0<=n<=2)
=0.7323
Therefore, the probability that at most 6 units were returned out of 200 sold unit records is 0.7323.
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Which graph does not represent a function?
Answer: c
Step-by-step explanation:
Elliptical graphs fail the vertical line test as they have same x and y values at some places. Thus elliptical graph is not a function
assume that for any given day, the probability of a sunny day is 80%, the probability of getting free pizza is 30%, and the probability of getting free pizza on a sunny day is 35%. a. what is the probability of a less than ideal day (no free pizza and no sun)?
The probability of a less-than-ideal day (no free pizza and no sun) is 0.25
Let us define the events from the example.
Let event A: Sunny day for any given day
event B: Getting free pizza for any given day.
Now, we will translate the word problem into our symbols.
The probability of a sunny day is 80% i.e P(A)=0.8
The probability of free getting pizza is 30% i.e. P(B) = 0.3
The probability of free pizza and a sunny day is 35% .i.e P(A∩B) = 0.35
a)Complement means not happening an event i.e. event A’ : No sunny day for any given day event B’: Not getting day free pizza for any given.
Here dash ( ‘ ) complement.
The probability of a less-than-ideal day
(no free pizza and no sun) is
P(A'∩B') = P(A∪B)'... (De Morgan's Jaw)
De Morgan's law: (A∩B)'= A'∪B'
(A∪B)’ = A'∩B'
P(A'∩B') = 1-P(A∪B) (P(A) = 1-P(A)).
= 1-[P(A) + P(B)-P(A∩B)]
= 1-[0.8+0.3-0.35]
P(A'∩B') = 0·25
The probability of a less-than-ideal day (no free pizza and no sun) is 0.25.
b)To check whether free pizza and sun are independent events or not, let us see when two events are said to be independent.
Two events (A & b) are said to be independent if P(A∩B) = P(A)· P(B)
Let us check whether this property satisfies our case or not.
LHS = P(A∩B)=0.35
RHS= P(A) P(B)
= 0.8 x 0.3
RHS = 0.24.
LHS ≠ RHS
P(ANB) ≠ P(A). P(B) in our case.
Two events A and B are not independent in our case
Sun and free pizza are not independent events.
c)Probability of no free pizza on a sunny day is P(A∩B').
P(A∩B') = P(A) - P(A∩B) = 0.8 0.35
P(A∩B') = 0·45
The probability of no free pizza on a sunny day is 0.45
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Write the sum of (4 × 10³) + (3.2 × 10¹) in scientific notation.
A) 43.2 x 104
B 4.32 x 105
C) 43.2 x 105
D) 7.2 x 10¹
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{(4\times10^3) + (3.2\times 10^1)}[/tex]
[tex]\mathsf{= 4\times10^3 + 3.2\times 10^1}[/tex]
[tex]\mathsf{= 4\times10\times10\times10 + 3.2\times10}[/tex]
[tex]\mathsf{= 4\times100\times10 + 3.2\times10}[/tex]
[tex]\mathsf{= 4\times1,000 + 3.2\times10}[/tex]
[tex]\mathsf{= 4,000 + 32}[/tex]
[tex]\mathsf{= 4,032}[/tex]
[tex]\mathsf{\approx 4.032\times10^3}[/tex]
[tex]\huge\text{Thus, your answer SHOULD be: \boxed{\mathsf{4.032\times10^3}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]