the quesiton is in the picture

Answer:

b) 4/52

Step-by-step explanation:

Since there are only 4 playing cards in a full deck that are labeled '2', and there are 52 cards in total - then there is a 4 out of 52 chance that a '2' card will be selected!

Answer:

b) 4/52

Step-by-step explanation:

There are only 4 "2" cards in a deck of 52, so you only have a 4/52 chance of pulling one, or about 8%.

hope this helps :)

Answer:

  13 1/2

Step-by-step explanation:

X-4 1/6 = 9 1/3

Add 4 1/6 to each side

X-4 1/6+ 4 1/6 = 9 1/3 + 4 1/6

x = 9 1/3 + 4 1/6

  = 9 2/6 + 4 1/6

   13 3/6

    13 1/2

Answer:

  24 meters

Step-by-step explanation:

The Pythagorean theorem can be used to find the missing leg of the right triangle.

  AB² = BC² +AC²

  25² = 7² +AC²

  AC = √(625 -49) = √576

  AC = 24

The height to the top of the ladder is 24 meters.

Answer:

there is equal probability for each outcome

Step-by-step explanation:

Let's say you are flipping a coin.

The possible outcomes are : Head and Tail

Probability(Head) = 1/2

Probability(Tail) = 1/2

In this case, there is equal theoretical probability of each outcome

We have been given that Marissa's Beauty Salon has six hair dryers that each require 500 watts when switched  on.We are asked to find the cost to run all six dryers for 7 hours, at a cost of $0.15 per kWh.

First of all, we will find watts of energy used to switch on 6 hair dryers.

[tex]\text{Watts used per hour}=\text{Wattage per hour}\times \text{Number of hair dryers}[/tex]

[tex]\text{Watts used per hour}=500\text{ Watts}\times 6[/tex]

[tex]\text{Watts used per hour}=3000\text{ Watts}[/tex]

Now we will convert watts into kilowatts. We know that 1 kW is equal to 1000 W.

[tex]3000\text{ Watts}=\frac{3000}{1000}\text{ kW}=3\text{ kW}[/tex]

So 3 kW are used for 7 dryers for 1 hour. Now we will multiply 3 kW by 7 to find kWs used in 7 hours as:

[tex]\text{kWs used in 7 hours}=3\times 7=21[/tex]

Since the cost of 1 kWh is $0.15, so to find cost for 21 kW/h, we will multiply $0.15 by 21.

[tex]\$0.15\times 21=\$3.15[/tex]

Therefore, it will cost $3.15 to run all six dryers for 7 hours.

Answer:

x = -6

Step-by-step explanation:

−5x = 30

Divide each side by -5

-5x/-5 = 30/-5

x = -6

Answer:

x=-6

Step-by-step explanation:

−5x = 30

divide both sides by -5 to isolate x

x=-6

I hope this helps! Please mark brainliest :)

Answer:

7th Month

Step-by-step explanation:

The number of hectares of Lucia's land grows arithmetically by 5 hectares each month.

Whereas, the number of hectares of Maria's land grows geometrically with a common ratio of 1.4 every month.

Writing this as sequence expressions:

For Lucia,

First term, a=11 hectares

Common difference, d=5

Therefore:

[tex]T(n)=a+(n-1)d[/tex]

[tex]11+5(n-1)=11+5n-5\\=6+5n[/tex]

For Maria,

First term, a=6 hectares

Commons ratio=1.4

[tex]T(n)=ar^{n-1}\\=6*1.4^{n-1}[/tex]

Next, we compute and compare the results for values of n of these two equations:

[tex]Lucia, T(n)=6+5n[/tex]

[tex]Maria,T(n)=6*1.4^{n-1}[/tex]

[tex]Lucia, T(1)=6+5=11[/tex]

[tex]Maria,T(1)=6*1.4^{1-1}=6[/tex]

[tex]Lucia, T(2)=6+5(2)=16[/tex]

[tex]Maria,T(2)=6*1.4^{2-1}=8.4[/tex]

[tex]Lucia, T(3)=6+5(3)=21[/tex]

[tex]Maria,T(3)=6*1.4^{3-1}=11.76[/tex]

[tex]Lucia, T(4)=6+5(4)=26[/tex]

[tex]Maria,T(4)=6*1.4^{4-1}=16.56[/tex]

[tex]Lucia, T(5)=6+5(5)=31[/tex]

[tex]Maria,T(5)=6*1.4^{5-1}=23.05[/tex]

[tex]Lucia, T(6)=6+5(6)=36[/tex]

[tex]Maria,T(6)=6*1.4^{6-1}=32.27[/tex]

[tex]Lucia, T(7)=6+5(7)=41[/tex]

[tex]Maria,T(7)=6*1.4^{7-1}=45.18[/tex]

Therefore, in the seventh month, Maria's land will exceed that of Lucia.

Answer:

See Explanation

Step-by-step explanation:

A prime number is a number that has only two factors, by 1 and itself.

A composite number on the other hand are numbers which have more than two factors.

To determine the number of prime cards needed to build each composite number, we first express the number as a product of its prime factors.

These are:

4=2X2

6=2X3

8=2X2X2

9=3X3

10=2X5

12=2X2X3

14=2X7

15=3X5

16=2X2X2X2

18=2X3X3

20=2X2X5

21=3X7

22=2X11

24=2X2X2X3

26=2X13

27=3X3X3

28=2X2X7

30=2X3X5

32=2X2X2X2X2

33=3X11

34=2X17

35=5X7

36=2X2X3X3

38=2X19

39=3X13

40=2X2X2X5

42=2X3X7

44=2X2X11

45=3X3X5

46=2X2X13

48=2X2X2X2X3

49=7X7

50=2X5X5

Therefore for each of the numbers, those are the prime number cards to be used.

Take for example, the number 50, the prime numbers that will be used to build 50 are the prime factors of 50.

50=2 X 5 X 5

Therefore, its prime factors are 2 and 5.

We will use the following prime number cards:

Answer:

A. 615.44 cm²

Step-by-step explanation:

A = pi(r²)

= 3.14(14²)

= 3.14(196)

= 615.44 cm²

Final answer:

To find the approximate area of the pizza with a radius of 14 cm, use the formula for the area of a circle and substitute the given value, resulting in 615.44 cm².

Explanation:

The approximate area of the pizza can be calculated using the formula for the area of a circle:

A = πr²

Given that the radius is 14 cm, we substitute this into the formula:

A ≈ 3.14 x (14 cm)² = 615.44 cm²

Therefore, the approximate area of the pizza is 615.44 cm², which corresponds to option A.

Linda's monthly mortgage payment will be approximately $664.14.

Linda's combined monthly payment, including the mortgage and maintenance fee, will be $974.14.

We have

A)

Monthly Mortgage Payment:

Loan Amount: $100,000

Interest Rate: 7.1% per annum (APR)

Loan Term: 30 years (360 months)

Monthly Interest Rate = Annual Interest Rate / 12

= 7.1% / 12

= 0.0059

Number of Payments = Loan Term in years * 12

= 30 * 12

= 360

Monthly Mortgage Payment

= (Loan Amount * Monthly Interest Rate) / (1 - (1 + Monthly Interest Rate)^(-Number of Payments))

Plugging in the values:

[tex]= (100,000 * 0.0059) / (1 - (1 + 0.0059)^{-360})[/tex]

= $664.14

B) Combined Monthly Payment:

Combined Monthly Payment

= Monthly Mortgage Payment + Monthly Maintenance Fee

= $664.14 + $310

= $974.14

Therefore,

Linda's monthly mortgage payment will be approximately $664.14.

Linda's combined monthly payment, including the mortgage and maintenance fee, will be $974.14.

Learn more about mortgage payments here:

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A) Linda's monthly mortgage payment is approximately $672.03.

B) Linda's combined monthly payment is approximately $982.03.

To determine Linda's monthly mortgage payment and her combined monthly payment, we can use the following steps:
A) Calculating the Monthly Mortgage Payment:-
We use the formula for the monthly mortgage payment on a fixed-rate mortgage:
[tex]\[ M = P \times \frac{r(1 + r)^n}{(1 + r)^n - 1} \][/tex]
Where:
- ( M ) is the monthly mortgage payment.
- ( P ) is the loan principal (amount borrowed), which is $100,000.
- ( r ) is the monthly interest rate, which is the annual rate divided by 12.
- ( n ) is the total number of payments (loan term in years multiplied by 12 months per year).
Given:
- [tex]\( P = 100,000 \)[/tex]
- Annual interest rate (APR) = 7.1% or 0.071
- Monthly interest rate [tex]\( r = \frac{0.071}{12} \approx 0.0059167 \)[/tex]
- Loan term ( n = 30 ) years, which is [tex]\( 30 \times 12 = 360 \)[/tex] months.
Substitute these values into the formula:
[tex]\[ M = 100,000 \times \frac{0.0059167(1 + 0.0059167)^{360}}{(1 + 0.0059167)^{360} - 1} \][/tex]  = $672.03.
B) Calculating the Combined Monthly Payment
The combined monthly payment is the sum of the monthly mortgage payment and the monthly maintenance fee.
Given:
- Monthly maintenance fee = $310
So, the combined monthly payment ( C ) will be:
[tex]\[ C = M + 310 \][/tex]
Let's compute these values.

A) Monthly Mortgage Payment
Linda's monthly mortgage payment is approximately $672.03.

B) Combined Monthly Payment
To find the combined monthly payment, we add the monthly mortgage payment and the monthly maintenance fee:
[tex]\[ \text{Combined Monthly Payment} = 672.03 + 310 = 982.03 \][/tex]
Therefore, Linda's combined monthly payment is approximately $982.03.

Answer:

[tex]N(t) = 972(1.015)^{t}[/tex]

Growth function.

The number of students enrolled in 2014 is 1162.

Step-by-step explanation:

The number of students in the school in t years after 2002 can be modeled by the following function:

[tex]N(t) = N(0)(1+r)^{t}[/tex]

In which N(0) is the number of students in 2002 and r is the rate of change.

If 1+r>1, the function is a growth function.

If 1-r<1, the function is a decay function.

In 2002, there were 972 students enrolled at Oakview High School.

This means that [tex]N(0) = 972[/tex]

Since then, the number of students has increased by 1.5% each year.

Increase, so r is positive. This means that [tex]r = 0.015[/tex]

Then

[tex]N(t) = N(0)(1+r)^{t}[/tex]

[tex]N(t) = 972(1+0.015)^{t}[/tex]

[tex]N(t) = 972(1.015)^{t}[/tex]

Growth function.

Find the number of students enrolled in 2014.

2014 is 2014-2002 = 12 years after 2002, so this is N(12).

[tex]N(t) = 972(1.015)^{t}[/tex]

[tex]N(12) = 972(1.015)^{12}[/tex]

[tex]N(12) = 1162[/tex]

The number of students enrolled in 2014 is 1162.

The exponential function that models the given situation is [tex]P(t) = 972 \times (1.015)^{t}[/tex]. By 2014, the number of students is approximately 1162, demonstrating growth.

To model the enrollment of students at Oakview High School using an exponential function, we start with the given data:

The initial number of students (P₀) in 2002: 972.

Annual growth rate: 1.5% or 0.015 as a decimal.

The exponential formula is:

[tex]P(t) = P_0 (1 + r)^t[/tex]

where:

In our case, the exponential formula will be:

[tex]P(t) = 972 \times (1 + 0.015)^{t}\\P(t) = 972 \times (1.015)^{t}[/tex]

To find the number of students in 2014, calculate t as follows:

t = 2014 - 2002 = 12

[tex]P(12) = 972 \times (1.015)^{12}[/tex]

Compute the result:

P(12) ≈ 972 × 1.195618

P(12) ≈ 1162 students

This is an example of 'growth', as the number of students increases over time.

Answer:

speed of freight train = 40 MPH

speed of passenger train = 45MPH

Step-by-step explanation:

Let the speed of freight train be X miles per hour

speed of passenger train is 5 mph more than speed of freight train

Therefore speed of passenger train is  X + 5 mph

we will use the formula to calculate distance which is givn below

distance travelled by any object is = speed * time

______________________________________________

Time at which the distance between the train are calculated = 8 AM

for freight train

since it started at 2 AM morning and traveled until 8 AM

duration for which it traveled = 8 - 2 = 6 hours

distance traveled by freight train in those 6 hours  = speed of freight train * duration for which it travelled = X * 6 = 6X   ----equation A

______________________________________________

for passenger train

since it started at 00.00AM  morning and traveled until 8 AM

duration for which it traveled = 8 - 0 = 8 hours

distance traveled by passenger train in those 8 hours  = speed of passenger train * duration for which it travelled = X + 5 * 8

= 8X + 40  -------  equation B

_______________________________________________

Distance between passenger train and freight train at 8 AM = 120 miles

also distance can be calculated using distance calculated above in equation A and B

Distance between passenger train and freight train at 8 AM in terms if X = distance traveled by passenger train in  8 hours - distance travelled by freight train in  6 hours = 8X + 40 - 6X = 2X + 40

2X + 40 distance is equal to 120 miles as given in question

therefore

2X + 40 = 120

2X = 120 -40

X = 80/2 = 40

therefore speed of freight train = X = 40 MPH

speed of passenger train = X + 5 = 40 + 5 = 45MPH

Answer: the value is true

Step-by-step explanation:

Answer:

The mean of the number of restaurants that failed within a year is 28.38 and the standard deviation is 4.02.

Step-by-step explanation:

For each restaurant, there are only two possible outcomes. Either it fails during the first year, or it does not. The probability of a restaurant failling during the first year is independent of other restaurants. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

In the city where she lives, the probability that an independent restaurant will fail in the first year is 43 %.

This means that [tex]p = 0.43[/tex]

66 independent restaurants

This means that [tex]n = 66[/tex]

Mean:

[tex]E(X) = np = 66*0.43 = 28.38[/tex]

Standard deviation:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = 4.02[/tex]

The mean of the number of restaurants that failed within a year is 28.38 and the standard deviation is 4.02.

Answer:

p-value is greater than 0.05, hence we accept the null hypothesis.

Step-by-step explanation:

See attached images

Answer:

Asymptotes, in mathematics, refer to a restriction at the domain set or the range set. It's drawn as a not solid line to indicate, graphically, the values that are not defined to the function.

So, when we express the domain and range sets of a function, we use parenthesis or brackets. In case of having asymptotes we use parenthesis, because that sing indicates an exclusion of the undefined value. On the other hand, the brackets indicates inclusion.

That means, if we use brackets to indicate asymptotes in an interval, that means the value is well defined for the function, which is false.

Since we already know that there is a 25% chance to guess the correct answer to a multiple choice question, all we have to do is multiply .25 and 68 to get the expected amount of answers a student can possibly guess. We multiply .25 since it is the decimal form of 25% and 68 is our total questions.

.25 x 68 = 17

Therefore, a student can expect to guess 17 answers correct on a test with 68 multiple choice questions.

Answer:

the answer is 17

Step-by-step explanation:

Hope this helps!

The expressions 1.62 ÷ 0.8, 16.2 ÷ 8, and 0.0162 ÷ 0.008 all have the same value of 2.025, while 0.08 ÷ 0.08 has a different value of 1.

To solve this problem, calculate each of the expressions:

So, the first three expressions are the same because they all equal 2.025. However, the fourth expression is different because it equals 1. In the given question, they are not all equal. Thus, the values of three expressions could be 2.025, and the value of the fourth expression could be 1.

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Answer:

x^2-x-12

Step-by-step explanation:

I used the box method its easier than foil method if that helps in the future

Answer:

  0.4

Step-by-step explanation:

The conditions are mutually exclusive (X cannot be both 0 and 2), so the probability is the sum of the individual probabilities:

  P(x = 2 or 0) = P(x=2) +P(x=0)

  P(x = 2 or 0) = 0.1 +0.3

  P(x = 2 or 0) = 0.4

Answer:

[tex]-\dfrac{2}{3}[/tex]

Step-by-step explanation:

When variable y is said to be proportional to another variable x, it is written as:

[tex]y \propto x[/tex]

To introduce the equality sign, we introduce what is called the constant of proportionality, say k and write the above as:

y=kx

Comparing the given equation:

[tex]y=-\frac{2}{3}x[/tex]

We can see that our constant of proportionality:

[tex]k=-\dfrac{2}{3}[/tex]

Answer:

The correct answer for this is [tex](-4,6)[/tex].

Step-by-step explanation:

As it can be seen from the attached graph image:

Now, according to question, the translation is performed 6 points up i.e. towards positive y-axis and 4 points towards left i.e. towards negative x-axis.

And, as per rule, the co-ordinates are represented as [tex](x,y)[/tex] where [tex]x[/tex] is the x-co-ordinate and [tex]y[/tex] is y-co-ordinate.

So, the answer here is [tex](-4,6)[/tex].

Answer:

121.875 if calculated so 121.875 if it shows it or less

Answer:

121.875

Step-by-step explanation:

To find the number you multiple 195 by 0.625 (0.625 is equivalent to 62.5%) which gets you 121.875

Answer:

The mean number of gerbils seen per day is 6.

The mean absolute deviation of the data is 2.29.

Step-by-step explanation:

The mean of a data set is the value that represents the entire data set. It is the average value.

The formula to compute the mean of a data set is:

[tex]\bar x=\frac{1}{n}\sum X[/tex]

The mean absolute deviation (MAD) of a data set is the average distance amid each value and the mean. The MAD provides us with an idea about the deviation in the data set.

The formula to calculate the value of MAD is:

[tex]MAD=\frac{1}{n}\sum |x-\bar x|[/tex]

The data set for the number of gerbils seen per day is:

S = {2, 3, 5, 7, 8, 8, 9}

Compute the mean of the data as follows:

[tex]\bar x=\frac{1}{n}\sum X[/tex]

  [tex]=\frac{1}{7}\times [2+3+5+7+8+8+9]\\\\=\frac{1}{7}\times 42\\\\=6[/tex]

The mean number of gerbils seen per day is 6.

Compute the mean absolute deviation of the data as follows:

[tex]MAD=\frac{1}{n}\sum |x-\bar x|[/tex]

          [tex]=\frac{1}{7}\times [|2-6|+|3-6|+|5-6|+|7-6|+|8-6|+|8-6|+|9-6|]\\\\=\frac{1}{7}\times 16\\\\=2.2857\\\\\approx 2.29[/tex]

Thus, the mean absolute deviation of the data is 2.29.

Final answer:

The mean of the data set (2, 3, 5, 7, 8, 8, 9) is 6, and the mean absolute deviation (MAD) is approximately 2.29.

Explanation:

Finding the Mean and MAD of a Data Set

The mean (average) of a data set is found by adding up all the numbers in the set and then dividing by the count of those numbers. In the provided data set (2, 3, 5, 7, 8, 8, 9), the mean is calculated as follows:

The mean absolute deviation (MAD) is found by calculating the absolute differences between each number in the set and the mean, averaging those absolute differences:

Therefore, the mean of the data set is 6, and the MAD is approximately 2.29.

Answer:

There was 3 stacks of 19 books.

Answer:

12 = 2.5h + 4

Step-by-step explanation: