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

The equation that shows the way that Mimi can spend a $25 is 2.99p + 4.99t = 25.

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?

Answer:

Step-by-step explanation: 812 - 523 = 289

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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Answer:

solve for what? x or y? or anything another

Step-by-step explanation:

if x

1.

[tex] - \sqrt[4]{2} \sqrt[4]{2} [/tex]

2.

[tex]x = (2 \: or \: \infty )[/tex]

so hope it help

The amount that Dado will pay for 1 xylobar and 2 yakities is 1.779.

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.

Zimak bought 3 xylobars and 5 from the intergalactic Candy. Let this be:

3x + 5y = 1.75

x = xylobars

y = yackities

Jeejuju paid 1.88 and got 4 xylobars and 1 yackity. Let this be:

4x + y = 1.88

Equate the equations and this will be:

4x + y = 1.88 ....... i

3x + 5y = 1.75 .... ii

From equation i y = 1.88 - 4x

Put this into equation ii

3x + 5y = 1.75

3x + 5(1.88 - 4x) = 1.75

3x + 9.4 - 30x = 1.75

Collect like terms

3x - 30x = 1.75 - 9.4

-27x = -7.65

Divide

x = 7.65 / 27

x = 0.283

xylobars = 0.283

Since 4x + y = 1.88

4(0.283) + y = 1.88

1.132 + y = 1.88

y = 1.88 - 1.132

y = 0.748

The cost for 1 xylobar and 2 yakities will be:

x + 2y

0.283 + 2(0.748)

= 0.283 + 1.496

= 1.779

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There are 64000 distinct combinations .

The dial for the standard combination lock is fastened to a spindle. The spindle travels through many wheels and a drive cam inside the lock. Every number has one wheel, hence the number of wheels in a wheel pack depends on how many numbers are in the combination.

The lock uses the numbers 0 to 39 and has 64,000 distinct combinations.

How many possible three-number combinations are there?

You have 10 options for the first digit, 9 options for the second digit, and 8 options for the third digit, giving you 10x9x8 = 720 if you want all three possible numbers with no duplication of the digits.

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The solution for the given algebraic expression is 1.

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

The question gives:

9/10 x 5/2 -5/4

Following the order of operations:

        9/10 * 5/2 = 45/20

             [tex]\frac{45:5}{20:5} =\frac{9}{4}[/tex]

     9/4 - 5/4 = 4/4 =1

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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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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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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:

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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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 .

ok

apples = a

babanas = b

a = 2b

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

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