Given: mTP= 70°,m∠EPT = 54° Find: Angles of △SPT

Answer:

6 × 8

Step-by-step explanation:

Since the dilation factor is 4, and the image was ENLARGED, that means the original photo was smaller.  Smaller by a factor of 4.

So, we take the new dimensions (24x32) and we divide each side by the dilation factor of 4:

(24/4) x (32/4) = 6 x 8

It couldn't be the first answer choice (3x8) because  that doesn't maintain the ratio of the enlarge picture.  The other possible answers do match the right ratio... but only 6x8 is scaled by a factor of 4.

Answer:

6 x 8

Step-by-step explanation:

When you look at DQ,4 and you break it apart a little bit, you will realize that the dilation is 4 and in this case it will increase by 4.

(Don't mind the Q it is just there to tell you where the center point is)

So if you look at the options:

3 x 8  ---- that will not work because 3x4= 12 which is not 32 and not 24 so we should kick that one out.

6 x 8  ---- This is good because 6x4=24 and 8x4=32!

We don't have to go any further (you can if you want though)!

Again, 6 x 8 is your answer.

Answer and Explanation: The results of the survey would not be accurate to the whole of springfield, as the sample was not a random sample. A random sample is where each person in a given area (Springfield in this case) has an equal chance of being surveyed. In this case, only walmart shoppers were surveyed. Therefor, the results can only apply to shoppers at walmart, not the whole of Springfield.

Answer:

Step-by-step explanation:

Given that a researcher interested in Springfield citizens' shopping habits surveys a randomly selected group of 200 Walmart shoppers. 76% of those surveyed indicated that price was more important to them than where an item was produced.

[tex]H_0: p=0.75\\H_a: p <0.75[/tex]

(One tailed test)

Sample proportion p = 0.76

p difference = 0.01

Std error = [tex]\sqrt{\frac{pq}{n} } =\sqrt{\frac{0.75(0.25)}{200} } \\=0.0433[/tex]

Test statistic z = p difference / std error = [tex]\frac{0.01}{0.0433} =0.23[/tex]

p value = 0.409

Since p >0.05 we accept null hypothesis.

There is no statistical evidence to prove that proportion >3/4 or 0.75

Answer:

Step-by-step explanation:

Use the distance formula for coordinate geoemetry and the fact that x1 = 3, y1 = 5, x2 = 6 and y2 = 8 to fill in the formula:

[tex]d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2    }[/tex]

fills in accordingly:

[tex]d=\sqrt{(6-3)^2+(8-5)^2}[/tex]

which simplifies a bit to

[tex]d=\sqrt{(3)^2+(3)^2}[/tex]

which is

[tex]d=\sqrt{18}[/tex]

The square root of 18 simplifies down to [tex]3\sqrt{2}[/tex], which is 4.2426 in decimal form

Answer:

4.24 units

Step-by-step explanation:

We can use the distance formula to solve this.

Distance formula: d = √((x₁ - x₂)² + (y₁ - y₂)²), where (x₁, y₁) and (x₂, y₂) are the two coordinates.

Plug in: d = √((3 - 6)² + (5 - 8)²)

Subtract: d = √((-3)² + (-3)²))

Square: d = √(9 + 9)

Add: d = √18

Square root: d = 4.24264... ≈ 4.24 units

Answer: 55.4

Step-by-step explanation:

The right triangle shown here is a 30-60-90 triangle. This means that its angles measure 30, 60, and 90 degrees. (I got the 30 degrees by subtracting the other two angles from 180 degrees, as the sum of the angle measures in a triangle is 180 degrees.)

The sides in such a triangle have the ratio of x:x[tex]\sqrt{3}[/tex]:2x

The x is across from the 30 degree angle, the x[tex]\sqrt{3}[/tex] is across from the 60 degree angle, and the 2x is across from the 90 degree angle.

The x in this triangle equals to 8 as the eight is across from the 30 degree angle.

This means that the x[tex]\sqrt{3}[/tex] side will equal 8[tex]\sqrt{3}[/tex].

That side is also the height of the triangle. The area of the triangle is then 1/2(8)(8[tex]\sqrt{3}[/tex]), or about 55.4.

Answer:

n=11 or n=-3

Step-by-step explanation:

Consider the quadratic equation [tex]n^2-8n-27=6.[/tex]

First, remind the formula

[tex](a-b)^2=a^2-2ab+b^2[/tex]

To complete the square, note that

[tex]8n=2\cdot n\cdot 4[/tex]

Hence, we need [tex]+4^2[/tex]

Add 16 to both sides of equation:

[tex]n^2-8n+16-27=6+16\\ \\(n-4)^2-27=22\\ \\(n-4)^2=49\\ \\n-4=7\text{ or }n-4=-7\\ \\n=11\text{ or }n=-3[/tex]

Answer:

S = 13 - x

T = (18 + x) / 2

Step-by-step explanation:

S = 18

T= 18

Sue gives away x, so subtract it from 18. But Tony gets x, so add it to 18 in his expression.

S = 18 - x

T= 18 + x

Sue eats 5 so subtract 5 from her expression. Tony eats half, so divide his expression by 2.

S = 18 - x - 5

T = 18 + x / 2

Simplify 18-5.

S = 13 - x

T = (18 + x) / 2

Answer:

Step-by-step explanation:

There are three reasons here why randomization is not being applied.

First, the coach is only observing football players attending the meeting.  This is not representative of the entire team.

Second, there is no selection process.  The coach isn't using a random generator or using a similar method.

Third, the players are volunteering for the test.  The results will be biased because of this.

The sentence which is not used in the randomization situation

1. The coach is observing only football players attending the meeting.

3. The football players are volunteering for the test.

The sample is not biased. The members were selected at random from the gym's female population.

The question is biased. It described the weight lifting machines as "easy" and the free weights as "harder".

The meeting is not mandatory and only volunteers are participating in the task he wanted, this shows bias and doesn't correctly represent the whole team.

Therefore, the correct answer is options is 1 and 3.

To learn more about randomization

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Answer: Choice A

Step-by-step explanation:

I'm bad at explaining things, sorry!

Answer:

Tomorrow is Thursday if today is Wednesday

Hypothesis: Today is Wednesday .

Conclusion: Tomorrow is Thursday.

Step-by-step explanation:

Given

1. If today is Wednesday , then tomorrow is Thursday.

Hypothesis p : Today is Wednesday .

Conclusion q : Tomorrow is Thursday .

Conditional statement:  [tex]p\implies q[/tex]

But given

Hypothesis : Tomorrow is Thursday .

Conclusion: Today is Wednesday .

Converse statement;  [tex]q\implies P[/tex]

Therefore, the given statement is converse not conditional.

2. If today is Wednesday , then tomorrow is Thursday.

Given

Hypothesis p: Tomorrow is Thursday.

Conclusion q: Today is not Wednesday.

Statement :[tex]q\implies \neg p[/tex]

Hence, it is not a true conditional statement.

3.Tomorrow is Friday if today is Wednesday.

Given

Hypothesis: Today is Wednesday.

Conclusion: Tomorrow is Friday.

It is not a true conditional statement.

4. Tomorrow is Thursday if today is Wednesday.

Given

Hypothesis p: Today is Wednesday.

Conclusion q: Tomorrow is Thursday.

Then the statement : [tex]p\implies q[/tex]

It is a true conditional statement.Because when hypothesis true and conclusion is true then the conditional is true.

Answer:

-2

Step-by-step explanation:

hopefully this will help

-The equation is actually

5x^2 -2x+1=0;

-The discriminant is b^2 -4ac=4-4•5•1=4-20=-16

-this means that the equation has no real number solutions

Answer:

The discriminant is equal to −16, which means the equation has no real number solutions.

Step-by-step explanation:

[tex]\text{Given the quadratic equation }-1=5x^2-2x[/tex]

we have to find the number of real number solutions the equation has.

The equation is

[tex]5x^2-2x+1=0[/tex]

[tex]\text{Comparing above equation }ax^2+bx+c=0[/tex]

a=5, b=-2, c=1

To find number of real solutions we have to find the discriminant

[tex]D=b^2-4ac[/tex]

[tex]D=(-2)^2-4(5)(1)[/tex]

[tex]D=4-20=-16[/tex]

The value of discriminant is -16<0

Hence, the equation has no real roots.

Hence, option 1 is correct

The order of the sides of the triangle is bc>ab>ac as per the rule that side opposite to the larger angle is larger

According to the rule that the side opposite to the larger angle is larger. The order of the sides of the triangle is bc>ab>ac .

Triangle inequality theorem of a triangle says that the sum of any of the two sides of a triangle is always greater than the third side.

Suppose a, b and c are the three sides of a triangle. Thus according to this theorem,

Then, if these three values satisfy the relation:

[tex]a < b +c\\b < a + c\\c < a + b[/tex]

Then they are for sure the side length of a triangle.

In scalene triangle ABC, m∠b=45° and m∠c=55°.

The order of the sides of the triangle is bc>ab>ac according to the rule that the side opposite to the larger angle is larger.

Learn more about the triangle inequality theorem here:

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Answer: D.

Step-by-step explanation:

The answer is 20 hamburgers and 25 hot dogs.

20(.5)+25(.25)<16.5

         10+6.25<16.5

             16.25<16.5

The budget is $16.50 and $16.25 is $.50 less therefore making it a possible option for Enrique.

With his budget of $16.50, Enrique can afford to buy the fourth option, 20 hamburgers and 25 hot dogs, which totals $16.25.

Let's calculate the cost of each option and see which ones Enrique can afford with his $16.50:

Looking at these calculations, we can see that Enrique could only afford to buy the fourth option, 20 hamburgers and 25 hot dogs, with his $16.50 as that totals $16.25, which is within his budget.

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To increase equilibrium price while lowering equilibrium quantity, the supply curve needs to be shifted to the left.

To increase equilibrium price while lowering equilibrium quantity in a supply and demand graph for a new gaming system, we need to shift the supply curve to the left. This can be done by adding a new supply curve, Supply 2, to the left of the original supply curve, Supply 1. Therefore, the correct answer is option C: Add Supply 2 to the left of Supply 1.

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Answer:

  Not justified

Step-by-step explanation:

ADA requirements are for a slope of 1 in 12 or less, an 8.3% grade, or an angle of 4.8° (actually, 4.764° when rounded to 3 decimal places). The ramp angle found by the assessor is compliant.

  The tenant complaint does not seem justified.

Answer:

[tex]661.4\ rpm[/tex]

Step-by-step explanation:

we know that

1 mile=63,360 inches

step 1

Find the circumference of the wheels

[tex]C=2\pi r[/tex]

we have

[tex]r=30/2=15\ in[/tex] -----> the radius is half the diameter

substitute

[tex]C=2\pi(15)[/tex]

[tex]C=30\pi\ in[/tex]

assume

[tex]\pi =3.14[/tex]

[tex]C=30(3.14)=94.2\ in[/tex]

Remember that    

The circumference of the wheels represent one revolution

Convert 59 miles per hour to inches per minute

[tex]59\ mi/h=59*63,360/60=62,304\ in/min[/tex]

using proportion find the number of revolutions  

[tex]\frac{1}{94.2}\frac{rev}{in}=\frac{x}{62,304}\frac{rev}{in}\\ \\x=62,304/94.2\\ \\x=661.4\ rev[/tex]

therefore

substitute

[tex]62,304\ in/min=661.4\ rev/min=661.4\ rpm[/tex]

the angular velocity of the truck's wheels is approximately 661.03 rpm

We need to first convert 59 mph into in/h. For this we can use the conversion factor:

[tex]1\ mile = 63360\ in[/tex]

Thus, 59 mph in ft/h will be:

[tex]59 \times 63360 = 3738240\ in/h[/tex]

Now we need to convert this into in/min for which we can use the conversion factor:

[tex]1\ hour = 60\ minute[/tex]

So, on converting we get:

[tex]\frac{3738240}{60} = 62304\ in/min[/tex]

Radius of tire will be half of its diameter. Thus radius = 15 in

Circumference of tire can be calculated by using the formula:

[tex]circumference = 2 \pi r[/tex]

Putting in values we get:

[tex]Circumference = 2 \times \pi \times 15 \approx 94.25\ in[/tex]

To determine the number of rotations per minute we need to divide speed of tire by the circumference of tire as follows:

[tex]rpm = \frac{speed}{circumference}\\\\\\rpm = \frac{62304}{94.25} \approx 661.03\ rpm[/tex]

Therefore, the angular velocity of the truck's wheels is approximately 661.03 rpm

Answer:

Step-by-step explanation:

Answer:

The radius of the semicircle is 4 cm

Step-by-step explanation:

The diameter of the semicircle is 8 cm

The radius is 1/2 of the diameter

1/2 *8 = 4 cm

The radius of the semicircle is 4 cm

[tex]\text{Hey there!}[/tex]

[tex]\text{In order for you to find the radius of the circle (in this equation you would)}[/tex] [tex]\text{have to multiply one half from the number 8}[/tex]

[tex]\frac{1}{2}\times8=?\\ \frac{1}{2}\times\frac{8}{1} \\ \\1\times8=8\\2\times1=2\\\\8\div2=4[/tex]

[tex]\boxed{\boxed{\text{Answer: 04 cm}}}\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

Answer:

B. 330

Step-by-step explanation:

The question indicates the order doesn't matter, so it's a combination and not a permutation.

The combinations are calculated using this formula:

[tex]C(n,r) = \frac{n!}{r! (n-r)!}[/tex]

In this case we have a population of 11 (n = 11) and a selection of 4 (r=4), so...

[tex]C(11,4) = \frac{11!}{4! (11-4)!} = 330[/tex]

So, there are 330 different combinations that can be made of 4 paintings out of a selection of 11.

Answer:

The correct answer is option B.  330

Step-by-step explanation:

It is given that,There are 11 paintings at an art show. Four of them are chosen randomly to display in the gallery window.

To find the possible ways

There are total 11 paintings.

We have to choose 4 of them

Possible number of ways = 11C₄

 = (11 * 10 * 9 )/(1 * 2* 3 * 4)

 = 330 ways

Therefore the  correct answer is option B.  330

Answer:

Step-by-step explanation:

Put the appropriate values of n in the formula and do the arithmetic.

  a(1) = 3·1 -7 = -4

  a(5) = 3·5 -7 = 8

The 1st and 5th terms are -4 and 8.

_____

The first few terms of the sequence are ...

  -4, -1, 2, 5, 8, 11, 14, ...

To find the sum of the 1st and 5th terms of the sequence defined by the function a(n) = 3n - 7, calculate each term using their respective n value and add the results together, resulting in a sum of 4.

When you are given the function a(n) = 3n - 7, which represents the value of the nth term in a sequence, the sum of the 1st and 5th terms of the sequence can be calculated by plugging in the values for n into the function for each term and adding the results.

For the 1st term (n = 1):

For the 5th term (n = 5):

The sum of the 1st and 5th terms is then:

-4 + 8 = 4

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Answer:

  4.95 in

Step-by-step explanation:

The area is the same, no matter how you find it.

  (11 in)h = (9.9 in)(5.5 in) . . . . . area = base·height

  h = (9.9·5.5/11) in = 4.95 in . . . . divide by 11 in

Answer:

x = 5/(10 - a - b)

Step-by-step explanation:

Solve for x:

4 + 3 x - a x = 9 - 7 x + b x

Collect in terms of x:

x (3 - a) + 4 = 9 - 7 x + b x

Collect in terms of x:

x (3 - a) + 4 = x (b - 7) + 9

Subtract (b - 7) x + 4 from both sides:

x (10 - a - b) = 5

Divide both sides by 10 - a - b:

Answer:  x = 5/(10 - a - b)

13:5 is the ratio of speed to skid mark

Answer:

2

Step-by-step explanation:

The only factors for this even numbers is itself and one. Other even numbers are composite because they can be divided by 2, but this number is 2 so it can only be divided by two numbers.

43% = 'Piano'

28% = 'Guitar'

15% = 'Harmonica'

12% = 'Drums'

2% = ...Other Instruments

- '2' Does seems as to be the smallest but it could be a trick.

- '43' Is the largest percentage out of the whole group.

- '100' Is what you get when you add all of the percentages together.

- And if you try to evaluate the percentages together in either way it'll end up to be '0.00004334' so that executes '250' and '150' from out of the question.

I'm not sure exactly what the actual answer could be but I'm assuming since it said "What is the smallest number of people required for the sample to meet the conditions for performing inference" Then my assumption is '2'.

250

Remember there are 2 conditions to perform a goodness of fit chi-test:

Simple random sample: The data must come from a random sample or a randomized experiment.

Expected counts: All expected counts are at least five. You must state the expected counts.

To explain expected counts a bit better, imagine I surveyed 100 people about their ice cream preferences. Before beginning it is believed that 50% like chocolate, 47% like vanilla, and 3% like strawberry.

That means our expected counts are:

100(.50) = 50

100(.47) = 47

100(.03) = 3

This is a problem, because 3 < 5 and so we can not perform a goodness of fit chi-test.

So how do you find the minimum sample size? Use this formula:

sample size (n) * smallest proportion (p) = 5

In the context of ice cream:

n*.03 = 5

n = 5 / .03

n = 167 (because you can't interview 2/3s of a person)

In the context of the problem:

n* .02 = 5

n = 5 / 0.02

n = 250

This means we need to sample at least 250 people to meet our expected count condition.

The answer is:

It will take 18 hours for the return trip.

To calculate how long does it take for the return trip, we need to calculate the distance between it destination and the starting point.

We know that the ship sails at 15 miles per hour (mph) for 6 hours, so, calculating the distance we have:

[tex]x=x_o+v*t\\\\x=0+15mph*6hours=90miles[/tex]

We know that the distance between the destination and the starting point is 90 miles, now, to calculate how long does it take the return trip, we need to use the motor speed rate which is equal to 5 miles per hour (mph), so, calculating we have:

[tex]Distance=v*t\\\\t=\frac{Distance}{v}=\frac{90miles}{5mph}=18hours[/tex]

Therefore, we have that it will take 18 hours for the return trip.

Have a nice day!

The ship covers a distance of 90 miles to its destination at 15 mph, sailing for 6 hours. For the return trip motoring at 5 mph, it takes 18 hours.

The question asks how long it takes for a ship to return to its starting point at a slower speed than it originally traveled to its destination. To answer this question, first, we calculate the distance to the destination. Since the ship sails at 15 miles per hour for 6 hours, it covers a distance of 15 miles/hour × 6 hours = 90 miles. We use the same distance for the return trip. However, the ship will now motor back at 5 miles per hour, so the time taken to motor back will be the distance divided by the return speed: 90 miles ÷ 5 miles/hour = 18 hours. Therefore, it takes 18 hours for the return trip home.

Answer:c

Step-by-step explanation:

3m. The wall of the building is 3m far from the base of the ladder.

The key to solve this problem is use trigonometric ratios.

The cosine of the angle is the adjacent leg divided by the hypotenuse.

From the image attached we can modeling the problem as a right triangle, where we can see that the adjacent leg is the unknown, hypotenuse is 6m (long of the ladder), and the ladder make an angle of 60°  leans againts the building's wall, and x is the long of the adjacent leg. To calculate how far is the base of the ladder from the wall:

Cos 60° = adjacent leg/hypotenuse

adjacent leg = cos 60° x hypotenuse

x = cos 60° (6m) = (0.5)(6m) = 3m

The answer is V≈4.01×105

939748.88 dollars is the answer

Answer:

$170,258.27

Step-by-step explanation:

Principal = $170,650

Interest = 5.5%

Term = 20 years

Monthly payment = $1,173.88

The interest on the first month is simply simple interest of 1 month on the principal.

I = prt = $170,650 * 0.055 * 1/12 = $782.15

Subtract the interest from the first months payment to find the amount of principal paid.

$1,173.88 - $782.15 = $391.73

Since the amount of principal paid on the first month is $391.73, the balance after paying the first month's payment is the original principal reduced by the amount of principal paid in the first month.

balance = $170,650 - $391.73 = $170,258.27

Answer:

1/2x+y=-4

Step-by-step explanation:

Answer:

x + 3y = - 8

Step-by-step explanation:

Given

y = - [tex]\frac{1}{2}[/tex] x - 4

Multiply all terms by 2

2y = - x - 8 ( add y to both sides )

x + 2y = - 8 ← in standard form

Answer:

Answer: You could have an infinite amount of triangles with these measurements.

Unless, you are missing something in the problem, there is not enough information that would narrow it down to a single triangle. Angle A is fixed and the height is fixed. However, Angle B and C could be anything as long as they formed a triangle and had side a of 15 in between them.

Answer:

j

Step-by-step explanation:

i know this isnt anything that has to do with this question but i was wondering if you had the answers to the precal "lets dance! portfolio" i couldnt contact you through messaging so this is the only way lol i hope you see this