On Main Street in Springfield, the first house is numbered 13, and each house number is 4 more than the house right before it. Jenny lives in the last house on the street. Her house number is 221. How many houses are on Main Street?

Answer:

GH = 17

Step-by-step explanation:

Given that H is the midpoint of segment GI, and GH = 5x + 2, HI = 9x - 10, GH is congruent to HI. This implies GH = HI.

Therefore:

\( GH = HI \), which will give us the following equation:

\( 5x + 2 = 9x - 10 \)

Solve for x

\( 5x + 2 - 9x = 9x - 10 - 9x \) (subtracting 9x from each side)

\( -4x + 2 = -10 \)

\( -4x + 2 - 2 = -10 - 2 \) (subtracting 2 from each side)

\( -4x = -12 \)

\( \frac{-4x}{-4} = \frac{-12}{-4} \) (dividing both sides by -4)

\( x = 3 \)

GH = 5x + 2

Plug in the value of x

GH = 5(3) + 2 = 15 + 2

GH = 17

Answer:17

Step-by-step explanation: trust me bro

Hey there!

The answer to your question is \(4x^2+2x-2\)

Given:

\(x^2-3x+7\) \(and\) \(3x^2 +5x-9\)

First, we can start by adding like terms. The following are like terms:

\(x^2\) \(and\) \(3x^2\)

\(-3x\) \(and\) \(5x\)

\(7\) \(and\) \(-9\)

Now, we can add these pairs together, giving us:

\(4x^2\)

\(2x\)

\(-2\)

Now, add all this together, and we get our answer as:

\(4x^2 + 2x - 2\)

Have a terrificly amazing day!

Answer:

m angle B=141

Step-by-step explanation:

a 7 sided shape has 900 total degrees

subtract all the known angkes to find your answer

900-90-148-142-130-129-120=141

hope this helps :)

Answer: B and D

yee yee

Two events are independent if the occurrence of one event does not affect the probability of the other event occurring.

A probability of an event is a number in science that indicates how likely the event is to occur.

It is expressed as a number between 0 and 1, or as a percentage between 0% and 100% in percentage notation. The higher the probability, the more likely the event will occur.

Two events are considered independent if the occurrence of one event has no effect on the likelihood of the other event occurring.

We can see that events A and B are independent in this case because the type of meat in the burrito has no effect on the likelihood of the customer requesting a specific type of beans.

Similarly, events C and D are independent because the type of beans requested does not depend on the type of meat in the burrito.

Thus, events A and B are independent and events C and D are independent.

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Answer: h = 5

Step-by-step explanation:

12h-5 = 10h+5

2h=10

h=5

The distribution has a 90th percentile for the value of 86.45 of x.

Let the normal distribution be X.

Hence according to the problem,

X ~ N(80, 25)

where,

the mean = μ = 80

the variance = σ² = 5² = 25

To find the 90th percentile we need to find a variable whose CDF is equal to 90% or 0.9

Let the variable be x.

Then

P(X < x) = 0.9

Now to find this we will first transform this to the standard normal form Z.

Any distribution can be brought to the standard normal form by,

Z = (X - μ)/σ

where

μ is the mean of the distribution

σ is the standard deviation of the distribution

Here,

μ = 80

σ = 5

Hence we get,

Φ[(x - 80)/5] = 0.9

From the standard normal table we get that for Φ(1.29) the p-value is approximately 0.9

hence we get

Φ[(x - 80)/5] = Φ(1.29)

or, (x - 80)/5 = 1.29

or, x - 80 = 6.45

or, x = 86.45

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Answer:

7 times

Step-by-step explanation:

Answer:

7 times

Step-by-step explanation:

The probability of assembling the product in 7 minutes or more is 3/4 or 0.75, which is equivalent to 75%.

1) The expected assembly time (in minutes) for a uniformly distributed variable can be calculated as the average of the minimum and maximum values. In this case, the minimum value is 6 minutes and the maximum value is 10 minutes.

Expected assembly time = (minimum value + maximum value) / 2

Expected assembly time = (6 + 10) / 2

Expected assembly time = 16 / 2

Expected assembly time = 8 minutes

Therefore, the expected assembly time is 8 minutes.

2) The probability of assembling the product between 7-9 minutes can be calculated by finding the proportion of the total range that falls within this interval.

Probability = (interval length) / (total range)

The interval length is 9 - 7 = 2 minutes.

The total range is 10 - 6 = 4 minutes.

Probability = 2 / 4

Probability = 0.5

Therefore, the probability of assembling the product between 7-9 minutes is 0.5 or 50%.

3) The probability of assembling the product in less than 6 minutes is 0, since the uniform distribution starts at 6 minutes. Any value less than 6 minutes is not possible in this scenario.

Therefore, the probability of assembling the product in less than 6 minutes is 0.

4) The probability of assembling the product in 7 minutes or more can be calculated by finding the proportion of the total range that falls within this interval.

Probability = (interval length) / (total range)

The interval length is 10 - 7 = 3 minutes.

The total range is 10 - 6 = 4 minutes.

Probability = 3 / 4

Therefore, the probability of assembling the product in 7 minutes or more is 3/4 or 0.75, which is equivalent to 75%.

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Answer:

6 package

Step-by-step explanation:

Given:

Amount of cheese needs = 3 KG = 3,000 gram

Assume;

1 package of cheese = 500 gram

Find:

Number of package need

Computation:

Number of package need = Amount of cheese needs / 1 package of cheese

Number of package need = 3,000 / 500

Number of package need = 6 package

Answer:

b

Step-by-step explanation:

Since AB = AC = 25, then the triangle is isosceles

Segment AD bisects BC at right angles , then

CD = BD, that is

4x - 5 = 3x + 4 ( subtract 3x from both sides )

x - 5 = 4 ( add 5 to both sides )

x = 9

Then

BC = 3x + 4 + 4x - 5 = 7x - 1 = 7(9) - 1 = 63 - 1 = 62

Answer:

3x+4=4x-5

3x‐(4x)=-5+-4

x=9

plug in 9 for x on both sides and add them together to find BC

each side is 31,

answer is 62.

This means we are considering only a part of the ellipse that is centered at the point (0,0) and moves in the direction of the hands of a clock.

The given question is asking about a portion of an ellipse centered at the origin and oriented clockwise. Let's break down the question and provide a clear and concise answer.

An ellipse is a curved shape that looks like a stretched-out circle. It has two main properties:

a major axis and a minor axis. The major axis is the longer distance across the ellipse, and the minor axis is the shorter distance.

In the given question, we are specifically talking about a portion of the ellipse. This means we are considering only a part of the entire ellipse.

When we say the portion is centered at the origin, it means that the center of the portion lies at the point (0,0) on the coordinate plane.

Now, let's talk about the orientation. Clockwise orientation means that if you were to walk along the portion of the ellipse, you would move in the direction of the hands of a clock.

To summarize, the given question is asking about a portion of an ellipse centered at the origin and oriented clockwise.

This means we are considering only a part of the ellipse that is centered at the point (0,0) and moves in the direction of the hands of a clock.

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Answer:

c) 72-34=38

Step-by-step explanation:

Answer:

She can make 2 bags of 4, and she will have 3 bananas left.

Step-by-step explanation:

4 + 4 + 4 = 12; that is 1 banana too many since she only has 11 bananas.

She has 11 bananas, so she has 4 + 4 + 3 = 11.

She can make 2 bags of 4, and she will have 3 bananas left.

Answer:

62.5 cals that's your answer hope this helps

The set of values that satisfies the inequality is (-∝, 6)

Inequality shows the non-equal comparison between two numbers or other mathematical expressions.

Given the inequality: 3k – 6 < 12

Solving the inequality:

3k – 6 < 12

Add 6 to both sides:

3k - 6 + 6 < 12 + 6

3k < 18

Divide both sides of the equation by 3:

3k/3 < 18/3

k < 6

The set of values that satisfies the inequality is (-∝, 6)

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Statistical hypothesis testing employs the null and alternate hypotheses.

The alternative hypothesis of a test expresses the prediction of an effect or relationship based on your study, while the null hypothesis of the test does not yet predict an effect or an association between the variables.

A statement that there is no relationship between two variables is called a null hypothesis. Another hypothesis is that the two variables are statistically correlated.

Alternative unilateral (directional) or the bilateral (non-directional) hypotheses are also possible. Simple, complex, true, and false are the four main categories of null hypotheses. If the p-value is greater than the statistical significance level, null hypothesis is preferred.

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The website which is cheaper for Caroline to buy the spice mix is French website.

Given data ,

Let's calculate the total cost for Caroline from both websites and determine which one is cheaper.

British website:

Price for 100 g = (£0.90 / 25 g) * 100 g = £3.60

Since the British website offers free delivery, the total cost remains £3.60.

French website:

Price for 100 g = (€1.20 / 50 g) * 100 g = €2.40

Delivery cost = €0.80

On simplifying the equation , we get

To convert the price and delivery cost to pounds, we'll use the conversion rate: €1 = £0.85.

Price in pounds = €2.40 * £0.85 = £2.04

Delivery cost in pounds = €0.80 * £0.85 = £0.68

Total cost = Price in pounds + Delivery cost = £2.04 + £0.68 = £2.72

Comparing the total costs:

British website: £3.60

French website: £2.72

Hence , Caroline would pay £2.72 for the spice mix from the cheaper website, which is the French website.

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Answer:

B. -7/25

Step-by-step explanation:

E2020

The values of cos2x, when sinx = 4/5 is, -7/25. So option  B is correct

Trigonometry is a branch of mathematics, which deals with the study of right angle triangles. Trigonometry is concerne

d with specified functions of angles and their applications to calculations.

There are 6 commonly used functions in trigonometry with their name and abbreviations-

sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), cosecant (cosec)

Given that,

sinx = 4/5

cos2x = ?

cos2x = 1 - 2 sin²x

cos2x  = 1 - 2× (4/5)²

cos2x  = 1- 32/25

cos2x = -7/25

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Answer:

-1.8,3

Step-by-step explanation:

This type of problem often results in two answers for X, and to get it, I often like to rearrange the formula to look like this: 5x^2-6x-27. There are various ways to answer this question, but since this is a quadratic equation, I commend using the quadratic formula! It may look scary, but it is actually really simple. I will attach a picture of this formula for reference when you need it.

looking at our modified formula, a= 5, b=-6, and c= -27. With these values in mind, you can go ahead and plug them in the formula. So it will look like (6±√(-6)²-4(5)(-27) )÷2(5).

Let’s break this down a bit, what this formula is saying is that you’ll have 2 operations to do now, the first one will look like this:

\((6+\sqrt{576})/10\), this will result in 3, which is one of your values for x

the second operation will be exactly the same, but instead of adding 6 to the square root of 576 (pssst, it is 24 btw), you will be subtracting. This second operation once done will result in -1.8, which is rounded to the nearest tenth!

Answer:

B

Step-by-step explanation:

We know that it costs 37 cents to mail a letter that weighs 1 oz or less. This would mean that for x ≤ 1, P(x) should equal 37. Already, we can eliminate A and D.

We also know that it costs an additional 26 cents for at most another ounce added to the original 1 ounce. This means that for 1 < x ≤ 2, P(x) = 26 + 37 = 63. This is shown by B.

Thus, the answer is B.

~ an aesthetics lover

Answer:

25.9%

Step-by-step explanation:

Since, the actual dimensions of the cylinder is not given we can assume the some dimension to explain the problem

Let us assume the dimension of the cylinder be

radius= 3in

height= 5 in

The expression for the total surface area of a cylinder is

T. S. A. =2πrh+2πr^2

Let us plug in the values to to find TSA

T. S. A. =2×3.14×3×5+2×3.14×3^2

Solving we get

T. S. A. =94.26+56.556

T. S. A. =150.816 in^2

Now let us find the error

we know that error % is calculated as

%error= [actual value-expected value/expected value]×100

%error= [190 -150.816/150.816]×100

%error= [39.184/150.816]×100

%error= 0.259×100

%error= 25.9%

There are 15,504 ways to randomly select a team of 5 people from a group of 20 people

If there are 20 people trying out for a team, the number of ways to select a team of n people can be calculated using the formula for combinations, which is:

C(20, n) = 20! / (n! * (20 - n)!)

where C(20, n) represents the number of ways to select n people from a group of 20 people.

For example, if we want to select a team of 5 people, we can plug in n = 5 and calculate:

C(20, 5) = 20! / (5! * (20 - 5)!) = 15,504

Therefore, there are 15,504 ways to randomly select a team of 5 people from a group of 20 people. Similarly, we can calculate the number of ways to select teams of different sizes by plugging different values of n into the formula for combinations.

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Margaret invests $3,500 in a savings account that offers 5% simple interest per annum. So interest she will get after 8 years is

Simple interest is a way to figure out how much interest will be charged on a sum of money at a specific rate and for a specific duration of time. Contrary to compound interest, where we add the interest of one year's principal to the next year's principal to compute interest, the principal amount under simple interest remains constant.

Given that :  Margaret invests $3,500 in a savings account that offers 5% simple interest per annum.

S.I = \(\frac{(P)(R)(T)}{100}\)

P = $3,500

R=5%

T=8 years

S.I = \(\frac{(P)(R)(T)}{100}\)

S.I = \(\frac{(3500)(5)(8)}{100}\)

S.I = 1400

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Answer:

122/3 or 40.666667

Step-by-step explanation:

Answer:

40.6666667

Step-by-step explanation:

3050/75 = 40.666666

Answer:

D

Step-by-step explanation:

15 tickets were solds right as 150 dollars were made.

Answer:

D- 10 is your slope

Step-by-step explanation:

you can see that the point it directly goes through is (15,150)

if you do rise/run to determine the slope, you would get 150(rise)/15(run)

which gives you 10!

Answer:

Step-by-step explanation:

y=652/4

convert decimal to a fraction

46/125=5

multiplying by both sides of the equation by 125/4

y=652/4 = 156 1/4

The result is consistent with the previous calculation, and option C, 3.682, is the correct answer.

To calculate log4 57 to the nearest thousandth, we can use a scientific calculator or a logarithmic table.

Using a calculator, we can find the logarithm of 57 to the base 4 directly:

log4 57 ≈ 3.682

Therefore, the correct answer is option C: 3.682.

If you prefer to verify the result using logarithmic properties, you can do so as follows:

Let's assume log4 57 = x. This means \(4^x\) = 57.

Taking the logarithm of both sides with base 10:

log (\(4^x\)) = log 57

Using the logarithmic property log (\(a^b\)) = b \(\times\) log a:

x \(\times\) log 4 = log 57

Dividing both sides by log 4:

x = log 57 / log 4

Using a calculator to evaluate the logarithms:

x ≈ 3.682

Thus, the result is consistent with the previous calculation, and option C, 3.682, is the correct answer.

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Answer:

w1= -1.4, w2= 3

Step-by-step explanation:

I will assume that "x" is a w since there is no x within the question

Solution

w

1

=−

5

7

,w

2

=3

Alternative Form

w

1

=−1.4,w

2

=3

Evaluate

5×∣4w−1∣=5w+40

Simplify

5∣4w−1∣=5w+40

Rewrite the expression

5∣4w−1∣−5w−40=0

Separate the equation into 2 possible cases

5(4w−1)−5w−40=0,4w−1≥0

5(−(4w−1))−5w−40=0,4w−1<0

Evaluate

w=3,4w−1≥0

5(−(4w−1))−5w−40=0,4w−1<0

Evaluate

w=3,w≥

4

1

5(−(4w−1))−5w−40=0,4w−1<0

Evaluate

w=3,w≥

4

1

w=−

5

7

,4w−1<0

Evaluate

w=3,w≥

4

1

w=−

5

7

,w<

4

1

Find the intersection

w=3

w=−

5

7

,w<

4

1

Find the intersection

w=3 w=− 57

Solution

w

1

=−

5

7

,w

2

=3

Alternative Form

w 1=−1.4,w 2

=3

Answer:

2 cups

Step-by-step explanation:

5/8 + 11/ 8 = 16/8 = 2