• Its ones digit is one more than its tens digit.

• It is a composite number.

• It has two digits.

• It is even.

• It is two less than a square number.

a. What is my number?

Rounding to the nearest square foot, the area is approximately 271 ft^2.

The area of the triangular face of the gabled roof can be found using the formula:

Area = 1/2 * base * height

where the base is the length of one sloping side and the height is the distance from the midpoint of the base to the top of the roof.

We can find the height using the sine of the angle at the top of the roof:

sin(133.2°) = height / 33.5

height = 33.5 * sin(133.2°) ≈ 16.2 ft

So the area of the triangular face is:

Area = 1/2 * 33.5 * 16.2 ≈ 271.2 ft^2

Know more about triangular face here:

https://brainly.com/question/27102803

#SPJ11

The standard error of the sampling distribution of sample proportions for samples of size n is sqrt[p × (1-p)/n]

The standard error of the sampling distribution of sample proportions is a measure of the variability of sample proportions that would be obtained if multiple samples of the same size were taken from the same population. It is calculated as the square root of the product of the sample proportion and its complement, divided by the sample size. Mathematically, the formula is

SE = sqrt(p × (1 - p) / n)

where SE is the standard error, p is the sample proportion, and n is the sample size.

In this scenario, we know that 80% of gamers own a dedicated video game console. Let's assume that the marketing team takes multiple random samples of gamers to estimate the proportion of gamers who own the latest video game console. If the sample size is different for each sample, the sample proportions obtained from each sample will vary due to random sampling error. The standard error will provide a measure of how much this variability is likely to be.

Learn more about standard error here

brainly.com/question/30667112

#SPJ4

The proof is completed and showed that < 2 ≅ < 3 as required.

Given data

<1 and <2 are linear pair

<1 + <3 = 180 degrees

required to proof <2 ≅ <3

linear pair implies mathematically that the sum of the two angles are 180 degrees, hence we have:

< 1 + < 2 = 180 degrees    equation 1

also given that,

< 1 + < 3 = 180 degrees    equation 1

equating equation 1 and equation 2 gives

< 1 + < 2 = < 1 + < 3

< 2 = < 3

Hence the required proof

Read more on linear pair here: https://brainly.com/question/18047626

#SPJ1

The probability is again extremely low, approximately \(8.6 x (10)^{-14}\)

The probability that less than 200 drivers in the sample wear a seatbelt can be calculated using the binomial distribution formula:

\(P(X < 200) = Σi=0 to 199 (500 choose i)  (0.4)^i (0.6)^{(500-i)}\)

Using a calculator or software, we can find that this probability is extremely low, approximately 2.6 x 10^-33. Therefore, it is highly unlikely that less than 200 drivers in the sample wear a seatbelt.

Alternatively, we can use the normal approximation to the binomial distribution if certain conditions are met. For large enough n (in this case, n = 500) and a probability of success p (in this case, p = 0.4), the binomial distribution can be approximated by a normal distribution with mean μ = np and standard deviation \(σ= \sqrt{np(1-p)}\).

Using this approximation, we can standardize the random variable X (number of drivers in the sample who wear a seatbelt) using the z-score formula:

\(z=\frac{(X-u)}{σ}\)

Then, we can use a standard normal distribution table or calculator to find the probability that X is less than 200, which corresponds to a z-score of approximately -7.36.

The probability is again extremely low, approximately \(8.6 x (10)^{-14}\). Therefore, we can conclude that it is highly unlikely that less than 200 drivers in the sample wear a seatbelt.

To know more about "probability" refer here:

https://brainly.com/question/30034780#

#SPJ11

The probability that there are not greater than 859 defective products in 359 packages is 0.9999.

We are given that;

Distribution: X 0 3 4 1 2 Р 0.02 0.14 0.34 0.36 0.14 1

0(X) = 0.9635 2

Now,

We need to know the probability of success for each package, which is the probability of having a defective product. Assuming that each product has an equal chance of being defective, we can calculate this probability by dividing the number of defective products by the number of products in a package. In this case, we have:

\(p = \frac{0.02 + 0.14 + 0.34 + 0.36 + 0.14}{4} = 0.25\)

This means that each product has a 25% chance of being defective, and each package has a binomial distribution with n=4 and p=0.25.

To find the average and the standard deviation of the number of defective products in a package, we can use these formulas³:

\($$E(X) = np$$$$\sigma(X) = \sqrt{np(1-p)}$$\)

Plugging in the values of $n$ and $p$, we get:

\($$E(X) = 4 \times 0.25 = 1$$$$\sigma(X) = \sqrt{4 \times 0.25 \times (1-0.25)} = \sqrt{0.75} \approx 0.866$$\)

Therefore, the average number of defective products in a package is 1, and the standard deviation is 0.866.

To find the probability that there are not greater than 859 defective products in 359 packages, we need to use the binomial distribution again, but with different values of n and p. In this case, we have:

\($$n = 359 \times 4 = 1436$$$$p = 0.25$$\)

We want to find the probability that \($X \leq 859$\), where \($X$\) is the number of defective products in 1436 trials. We can use this formula:

\($$P(X \leq k) = \sum_{i=0}^{k} \binom{n}{i}p^i(1-p)^{n-i}$$Plugging in the values of $n$, $p$, and $k$, we get:$$P(X \leq 859) = \sum_{i=0}^{859} \binom{1436}{i}0.25^i(1-0.25)^{1436-i}$$\)

Therefore, by probability the answer will be 0.9999.

Learn more about probability here;

https://brainly.com/question/9326835

#SPJ12

Answer:

Step-by-step explanation:

i Hope it's helpful for you

Given that, Joe travels 68 mi in 4 hours, the number of miles Joe will travel in 45 minutes is 12.75.

Given that;

First, we convert 4 hours to minutes: 4 × 60 = 240 minutes

Now,

Joe travels 68 miles in 240 minutes

Joe will travel x miles in 45 minutes

We have;

x × 240 = 68 × 45

x × 240 = 3060

x = 3060 / 240

x = 12.75 miles.

Given that, Joe travels 68 mi in 4 hours, the number of miles Joe will travel in 45 minutes is 12.75.

Learn more word problems here: https://brainly.com/question/14539651

#SPJ1

Answer:

For the third time D because 60+30*2 is 120 and 30 of 120 is 25%

Step-by-step explanation:

12+52-2=62 there is your answer its 62

Answer: 4500

Step-by-step explanation:

60% Daily

50% Weekly

20% None    

130% total    →   30% both Daily and Weekly

30% of total people = 1500

 0.30x = 1500

÷0.30     ÷0.30

      x = 4500

Answer:

this involves dividing numbers by making use of their place values or value

Step-by-step explanation:

hope this is helpful

The angle between vectors a and b is 71.79° for using the Dot Product property of vectors.

The given two vectors are a = ⟨2,2,−1⟩ and b = ⟨5,−3,2⟩. We need to find the angle between vectors a and b.

Using the Dot Product property of vectors we can find the angle between vectors. The formula for the dot product of vectors is given as follows.

a . b = |a| |b| cos(θ)

where |a| and |b| are the magnitudes of vectors a and b respectively and θ is the angle between vectors a and b.

Rearranging the above equation gives,

cos(θ) = (a . b) / (|a| |b|)

Taking the dot product of vectors a and b, we get,

a . b = (2 × 5) + (2 × −3) + (−1 × 2)

= 10 − 6 − 2

= 2

Now, we need to calculate the magnitudes of vectors a and b.

The magnitude of a is,

|a| = √(2² + 2² + (-1)²)

= √9

= 3

The magnitude of b is,

|b| = √(5² + (-3)² + 2²)

= √38

cos(θ) = (a . b) / (|a| |b|)

cos(θ) = 2 / (3 × √38)

cos(θ) = 0.3271

θ = cos⁻¹(0.3271)

θ = 71.79°

Know more about the Dot Product property

https://brainly.com/question/30404163

#SPJ11

We can determine coordinates if point t is between points u and v by checking if u < t < v or v < t < u.

To determine if point t is between points u and v, we need to compare their coordinates. If u < v, then point t is between points u and v if and only if u < t < v. On the other hand, if v < u, then point t is between points u and v if and only if v < t < u.

Whether or not point t is between points u and v depends on the relationship between the coordinates of u and v. If u < v, t must fall between them, and if v < u, t must also fall between them.

To know more about  coordinates  follow the link:

https://brainly.com/question/31306451

#SPJ11

Answer:

D.27

Step-by-step explanation:

I took a picture of my work doing a explanation.

(sorry for the messy hand writing)

The equatiion where C is the constant of integration.To evaluate the indefinite integral ∫(3e^x + 4x^5 - x^3/4 + 1)dx, we can integrate each term separately.

∫3e^x dx = 3∫e^x dx = 3e^x + C₁

∫4x^5 dx = 4∫x^5 dx = 4 * (1/6)x^6 + C₂ = (2/3)x^6 + C₂

∫-x^3/4 dx = (-1/4)∫x^3 dx = (-1/4) * (1/4)x^4 + C₃ = (-1/16)x^4 + C₃

∫1 dx = x + C₄

Now, we can combine these results to obtain the final answer:

∫(3e^x + 4x^5 - x^3/4 + 1)dx = 3e^x + (2/3)x^6 - (1/16)x^4 + x + C

Therefore, the indefinite integral of (3e^x + 4x^5 - x^3/4 + 1)dx is:

∫(3e^x + 4x^5 - x^3/4 + 1)dx = 3e^x + (2/3)x^6 - (1/16)x^4 + x + C

where C is the constant of integration.

Learn more about integration here:brainly.com/question/32510822
#SPJ11

For question 1 option C is the correct answer and for question 2 option A is the correct answer.

We need to find which transformation from the graph of a function f(x) describes the graph of 10f(x).

Here the transformation that describes the graph of g(x) is a vertical dilation of scale factor k = 10 of f(x).

We can start by defining the general vertical dilation.

For a given function f(x), a vertical dilation stretches or contracts the graph vertically, depending on the scale factor k.

And it is written as:

g(x) = k*f(x).

Then here we have:

g(x) = 10*f(x)

It is easy to see that this is a vertical dilation of scale factor k = 10. Therefore, option C is the correct answer.

We need to check from the given options which information is sufficient to prove that quadrilateral ABCD is a parallelogram.

If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram.

Therefore, option A is the correct answer.

To learn more about quadrilaterals visit:

https://brainly.com/question/13805601.

#SPJ1

Answer:

-4 1/9

Step-by-step explanation:

Answer:

13 ang sagot po nan paramis

Step-by-step explanation:

pa heart at pa brenlest at pa vote plsssss

Answer:

See below

Step-by-step explanation:

First you need to remember the slope intercept model equation is

y = mx + b

m is the slope of the line and b is the point where the line intersects the y axis which means when x = 0

Let's start with the x and y variables.  We can use y to designate the total cost of the party.  Then we can use x to represent the number of guests.  Based on that, y will increase when x increases.

Now look at your scenario.  She is buying just one cake no matter how many guests there are.  We said x was going to be the variable for the number of guests.  So x (the number of guests) does not change how many cakes are bought.  So we can use the cost of the cake as b.  Why?

Because if 0 guests show up meaning x = 0, she is still going to buy 1 cake.  So the cost of the cake actually is the y intercept.  Remember the y intercept is the value of y when x = 0.  Looking at y = mx + b, when x=0,       y = b or the cost of the 1 cake.

So far we have  y = mx + 24.99  where x equals the number of guests.

How much with the total cost increase for each guest?  The cost of one ice cream which is 2.49.  So if x = 1, y increases by 2.49.  If x = 2, y increases by 4.98 and so on.

You should be able to see then that the slope (m) is actually the cost of the ice cream.  When you take the cost of the ice cream (m) times the number of guests (x), y will increase as we said above as x keeps increasing.

Putting it all together, you would have:

y = 2.49x + 24.99

2.49 is m which is the slope and the ice cream cost

24.99 is b which is the y intercept or the point on the y axis when x = 0 and the cost of the 1 cake.

y is the total cost of the party

x is the number of guests

Answer:

is is on the x acsess 2 and go down to -3. Hope this helped!

Step-by-step explanation:

Go to the x acsessw and go to 2 go down to -3 and mark

Answer:

12

Step-by-step explanation:

y = 2x + 0

6x + 4y = 3xy

y = 4 - x2

7xy = 12

Notes:

It's okay and completely understandable you might not be able to understand Khan Academy much. We all have our own struggles. I highly recommend using Brainly more. It's a much bigger community, with millions of other users always online to help. Oh - and don't forget about the moderators! I heard they're always on the look out and super hungry for question answering!

A Brainliest or Thank You is always appreciated! Please make sure to rate this answer and Heart it so we can easily help grab more attention for any other users who might also need help.

Cheers,

Chris.

Answer:

2

Step-by-step explanation:

The y-intercept is the point on the graph where the line intersects with the y-axis. Since this point must be on the y-axis the x-value must be 0. Every coordinate on the y-axis has an x-value of 0. So, to find the answer find the y-value when x=0. In this case, when x=0, y=2. Therefore, the y-intercept is 2, also written as (0,2).

Answer:

1. List (in order) the five phases a single 2 solar mass will go through in its life.

2. List (in order) the five phases a single 25 solar mass will go through in its life.

3. List (in order) the five phases a single 60 solar mass will go through in its life.

Phase options (can be used more than once, some may not be used at all):

Type II Supernova

Protostar

White Dwarf

Giant Phase

Main sequence

Neutron Star

Brown Dwarf

Black Hole

Type 1a Supernova

Planetary Nebula

Step-by-step explanation:

Test statistic of 0.1296 falls within the range of -1.96 to +1.96, we fail to reject the null hypothesis.

This means that there is not enough evidence to conclude that the city's unemployment rate is significantly different from the national average.

To determine whether the city can conclude that its unemployment rate is the same as the national average based on a sample, we need to perform a hypothesis test.

Here's the step-by-step process:

Formulate the null hypothesis (H0) and alternative hypothesis (Ha):

Null hypothesis (H0): The city's unemployment rate is the same as the national average.

Alternative hypothesis (Ha): The city's unemployment rate is different from the national average.

Determine the significance level (alpha): Typically, a significance level of 0.05 (5%) is used.

Calculate the expected number of unemployed individuals in the city based on the national unemployment rate:

Expected number of unemployed in the city = (National unemployment rate) * (Sample size)

Expected number of unemployed in the city = (0.049) * (90)

Compare the expected number of unemployed in the city with the actual number of unemployed individuals in the sample. If the observed number is significantly different from the expected number, it suggests a difference in the city's unemployment rate compared to the national average.

Perform a hypothesis test, such as a chi-square test or a proportion test, to determine whether the difference between the observed and expected values is statistically significant.

Calculate the test statistic and p-value. If the p-value is less than the significance level (alpha), we reject the null hypothesis and conclude that the city's unemployment rate is different from the national average. If the p-value is greater than alpha, we fail to reject the null hypothesis and cannot conclude a significant difference.

It is important to note that this analysis assumes the sample is representative of the city's population and that the national unemployment rate accurately reflects the city's unemployment rate.

Learn more about null hypothesis

https://brainly.com/question/30821298

#SPJ11

Answer:

the answer would be 32.44

Step-by-step explanation: