A classic car is now selling for $2500 less than three times its original price. If the selling price is now $14,000, what was the car's original price?

The missing length of the triangle using Pythagoras theorem is; x = 3

Pythagoras Theorem is defined as the way in which you can find the missing length of a right angled triangle. The right angle triangle has three sides, the hypotenuse (which is always the longest), Opposite (which doesn't touch the hypotenuse) and the adjacent (which is between the opposite and the hypotenuse).

The formula to find the sides is;

hypotenuse² = opposite + adjacent²

We are given;

Hypotenuse = 5

Opposite = x

adjacent = 4

Thus;

5² = x² + 4²

x² = 5² - 4²

x² = 25 - 16

x = √9

x = 3

We conclude that it is the missing length of the triangle

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Answer:

b i think

Step-by-step explanation:

the sign would flip if you divide by a negative number

Answer:

15cm

Step-by-step explanation:

Theorem: All tangents to a circle from the same point are equal.

Sine E, F, G and H are points of Tangency, by the theorem above:

The diameter line EC divides the Isosceles Trapezoid into two equal parts.

Therefore:

We then have by the equality above that:

BC=BF+FC

=5+10

=15cm

Step-by-step explanation:

a= 1/3 + 3/5

= 5+9/15

= 14/15

b=6/7-2/5

=30-14/35

= 16/35

Answer:

8.66

Step-by-step explanation:

15/sqrt(3) = 8.66 (to nearest hundreth)

Answer:

67.5 cm^2

Step-by-step explanation:

we know the length and width of the rectangle and the triangle in the compound shape.

The area of the rectangle is 10 times 5 = 50

the area of the triangle is

17-10 = 7

7 times 5 is 35

35/2 = 17.5

50 plus 17.5 = 67.5 cm^2

Answer: 67.5

Step-by-step explanation:  Since this is a irregular shape, you have to split the two shapes.  The rectangles area is 50, and the triangles is 17.5.

To find the area of a triangle multiply 1/2 × base × height

To find the area of a rectangle multiply base × height

Answer:

PLEASE GIVE BRAINLIEST AND THANKS

50

Step-by-step explanation:

angles on a straight line add up to 180 degrees

Answer:

50

Step-by-step explanation:

Take

65 x 2 = 130

180 - 130 (because of the angle of the base) = 50 degrees

so angle C is 50 degrees

Answer:

circumference of a circle =2 pi r

radius=14/2=7

2×3.14×7=43.96ft

The circumference of the circle is 43.96 ft.

Given,

Diameter of the circle = 14 ft

π = 3.14

We need to find the circumference of a circle.

The circumference is the total length of the surface of the circle.

The circumference is given by:

= 2πr

r = radius of the circle

Diameter = 2radius

Example:

We have,

Diameter = 14 ft

π = 3.14

Radius = diameter / 2 =  14/2 = 7 ft

Circumference:

= 2πr

= 2 x 3.14 x 7

= 43.96 ft

Thus the circumference of the circle is 43.96 ft.

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Answer:

43.94 in total

Step-by-step explanation:

18% of 37.24 is 6.70 which would be the tip and adding those two numbers together would equal 43.94

Hope this helps. Plz give brainliest.

Answer: 37.42

Step-by-step explanation: first you need to add and point to the 18% like this 0.18 and add it to the first number

Answer:

C)multiplicación or división

The correct answer to the given question about mapping quadrilateral ABCD onto quadrilateral HGEF is option D Translation 6 units left and 2 units down

To determine the transformation that maps quadrilateral ABCD onto quadrilateral HGFE, we need to compare the corresponding sides and angles of the two quadrilaterals.

Option 1: Rotation of 180° about the origin

A rotation of 180° about the origin would not map quadrilateral ABCD onto quadrilateral HGFE because the corresponding sides and angles are not congruent. For example, side AB of ABCD would not match side HG of HGFE after the rotation. Therefore, option 1 is incorrect.

Option 2: Reflection across the y-axis

A reflection across the y-axis would not map quadrilateral ABCD onto quadrilateral HGFE because the corresponding sides and angles are not congruent. For example, angle A of ABCD would not match angle H of HGFE after the reflection. Therefore, option 2 is incorrect.

Option 3: Reflection across the x-axis

A reflection across the x-axis would not map quadrilateral ABCD onto quadrilateral HGFE because the corresponding sides and angles are not congruent. For example, side BC of ABCD would not match side GF of HGFE after the reflection. Therefore, option 3 is incorrect.

Option 4: Translation 6 units left and 2 units down

A translation 6 units left and 2 units down would map quadrilateral ABCD onto quadrilateral HGFE because the corresponding sides and angles are congruent. Each point of ABCD would move left by 6 units and down by 2 units to reach its corresponding point in HGFE. Therefore, option 4 is the correct transformation that maps quadrilateral ABCD onto quadrilateral HGFE.

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By using the concept of confidence interval, it can be concluded that-

To reduce confidence interval, it is needed to increase sample size.

Option c is correct

What is confidence interval?

Suppose there is an unknown parameter whose range of estimate is required. Confidence interval gives the range of estimate of this unknown parameter.

Formula for percentage confidence interval

\(\bar{x} \pm z_\frac{\alpha}{2} \times \frac{\sigma}{\sqrt{n}}\)

We have to reduce the size of the confidence interval

Confidence interval has no effect on  mean, directly proportional to  standard deviation and inversely proportional to sample size

So to reduce confidence interval, it is needed to increase sample size.

Option c is correct

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Complete Question

After constructing a confidence interval estimate for a population mean, you believe that the interval is useless because it is too wide. in order to correct this problem, you need to:

Select one:

a. increase the population standard deviation

b. increase the level of confidence

c. increase the sample size

d. increase the sample mean

e. none of these would help

To determine the number of gallons of paint needed to cover office 143, we need to know the square footage of the office.

Once we have that information, we can divide the square footage by the coverage rate per gallon to calculate the required amount of paint.

Let's assume the square footage of office 143 is 800 square feet.

Number of gallons needed = Square footage / Coverage rate per gallon

Number of gallons needed = 800 square feet / 50 square feet per gallon

Number of gallons needed = 16 gallons

Therefore, you would need approximately 16 gallons of paint to cover office 143, assuming each gallon covers 50 square feet.

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The p-value of 0.5 indicates that Jack and Jill's data is not statistically significant. They do not have enough evidence to reject the null hypothesis. Therefore, the correct answer is "Jack and Jill find that these data are not statistically significant."

In hypothesis testing, the p-value represents the probability of obtaining the observed data or more extreme results if the null hypothesis is true. A p-value of 0.5 means that there is a 50% chance of observing the data or data more extreme than what they have obtained, assuming that the null hypothesis is true. Since this probability is relatively high (above commonly chosen significance levels like 0.05 or 0.01), it suggests that the observed results are likely due to random chance rather than a true difference or relationship.

Hence, Jack and Jill should not conclude that there is a significant effect or difference based on this p-value. They may need to consider alternative explanations or further investigate the research question using different methods or analyses. Conducting an ANOVA test or a dependent-samples t-test in SPSS might be appropriate if their study design and research question require those specific analyses.

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Answer:

251$

Step-by-step explanation:

Let's say x represents Joes's account.

And y represents Chandra.

Since Joses account was 1 more than one half of chandra, the amount for Joes would be x = 1/2*y + 1

Now we can just say y = Chandra's amount.

So x + y = 751

And x = 1/2*y + 1

We have a systems of equation, and just plug in 1/2*y + 1 for x.

1/2*y + 1 + y = 751

1/2*y + y = 750 (subtract both sides by 1)

distribute y so...

y(1/2 + 1) = 750

y = 750/1.5

y = 500

Remember, y is Chandra. So plug in 500 for y in Joses equation, so 1/2(500) +

is 250 +1 so 251.

Answer:

The necklace will be 4,000 cm long

Step-by-step explanation:

Here we want to calculate the length of the necklace

Mathematically, that would just be the product of the beads and the diameter of each bead

Hence, we have

10,000 * 0.4 = 4,000 cm

that Randy walks around the rectangle city block for a total of 160 meters.

To arrive at this answer, we first need to find the perimeter of the rectangle. We can do this by adding up the lengths of all four sides.

The length of the side from (-5, -2) to (-5, 9) is 110 units (since each unit represents 10 meters), the length of the side from (-5, 9) to (9, 9) is 140 units, the length of the side from (9, 9) to (9, -2) is also 110 units, and the length of the side from (9, -2) to (-5, -2) is 140 units.

Adding these up, we get:

110 + 140 + 110 + 140 = 500

Therefore, the perimeter of the rectangle is 500 units or 5000 meters (since each unit represents 10 meters).

However, Randy walks all the way around the block, so we need to double this perimeter to get the total distance he walks:

2 * 500 = 1000

Therefore, Randy walks for a total of 1000 units or 10,000 meters.

Randy walks around the rectangle city block for a total of 160 meters.

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Answer:

I’d say the two people that can’t sit next to each other but to choose a different seat, if they find themselves seated next to each other they could ask someone next to them to switch seats with them. The 7 people can sit anywhere but the 2 particular people could sit away from the other.

Step-by-step explanation:

I hope I helped! ^.^’

Farfalla produces 2,400 kites every year.

The number of factories Farfalla owns around the globe = 3;

The number of kites produced by original factory every year = 600;

The number of kites produced by each of other 2 factories every year = 900;

Then the total kites produced by both other factories will be = 2 × 900 = 1800;

Now, the number of kites Farfalla produces every year is = 600 + 1800 = 2400;

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If 10% of all resistance exceeding 10.256 ohms, and 5% have resistance less than 9.671 ohms, then the mean value is 10 ohms and standard deviation of resistance distribution is 0.2 ohms.

To determine mean-value and standard deviation of resistance distribution, we use properties of normal-distribution and given information.

We denote the mean value of resistance distribution as μ and standard deviation as σ.

We know that 10% of all resistors exceed 10.256 ohms, The z-score represents the number of standard deviations away from the mean.

We know that the z-score corresponding to the 10% percentile is approximately 1.28,

Similarly, also given that 5% of resistors have resistance smaller than 9.671 ohms, We also know that the z-score for the 5% percentile is approximately -1.64,

The z-score equation for the 10% percentile : 10.256 = μ + 1.28σ,

The z-score equation for the 5% percentile : 9.671 = μ - 1.64σ,

Now we solve these two equations to find the values of μ and σ.

From equation(1), we rewrite it as : μ = 10.256 - 1.28σ,

Substituting this expression for μ into equation(2), We get :

9.671 = (10.256 - 1.28σ) - 1.64σ

9.671 = 10.256 - 1.28σ - 1.64σ

9.671 = 10.256 - 2.92σ

2.92σ = 10.256 - 9.671

2.92σ = 0.585

σ ≈ 0.2,

Substituting this value of σ into equation(1),

We get,

μ = 10.256 - 1.28σ

μ = 10.256 - 1.28 × 0.2

μ ≈ 10.256 - 0.256

μ ≈ 10,

Therefore, the required mean is 10 ohms and standard-deviation is 0.2 ohms.

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The mean value of the resistance distribution is μ and the standard deviation is σ.

To find the mean and standard deviation of the resistance distribution, we can use the properties of a normal distribution.

Let's denote the mean as μ and the standard deviation as σ.

From the given information, we know that 10% of the resistance values exceed 10.256 ohms, and 5% have resistance smaller than 9.671 ohms.

Using the properties of a normal distribution, we can determine the z-scores corresponding to these percentages.

The z-score represents the number of standard deviations a data point is away from the mean.

For the 10% exceeding 10.256 ohms, the z-score can be calculated as:

z = (x - μ) / σ

where x is the resistance value and z is the z-score.

Using a standard normal distribution table or a calculator, we can find the z-score corresponding to the 10% exceeding value. Let's denote this z-score as z1.

Similarly, for the 5% smaller than 9.671 ohms, we can find the z-score corresponding to this percentage and denote it as z2.

Now, we have two equations:

z1 = (10.256 - μ) / σ

z2 = (9.671 - μ) / σ

We can solve these two equations simultaneously to find the values of μ and σ.

Once we have the values of μ and σ, we can conclude that the mean value of the resistance distribution is μ and the standard deviation is σ.

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Answer: 60.

Step-by-step explanation:

Let in a right triangle one of the legs is 25, and the hypotenuse is 65.

Hence, the other leg is:  \(\sqrt{65^2-25^2}=\sqrt{4225-625}=\sqrt{3600}=60.\)

The values of the variables, a, b, and c obtained from the equation of the circle and the coordinates of the point P are;

a) a = 2

b = -2

c = 4

The general equation of a circle is; (x - h)² + (y - k)² = r²

Where;

(h, k) = The coordinates of the center of the circle

r = The coordinates of the radius of the circle

The specified equation of a circle is; x² + y² = 9

The coordinates of the center of the circle, is therefore, O = (0, 0)

a) The coordinates of the points P  and O indicates that the gradient of OP, obtained using the slope formula is; ((3·√3)/4 - 0)/(3/2 - 0) = ((3·√3)/4)/(3/2)

((3·√3)/4)/(3/2) = (√3)/2

The specified form of the gradient is; (√3)/a, therefore;

(√3)/a = (√3)/2

a = 2

The value of a is 2

b) The gradient of the tangent to a line that has a gradient of m is -1/m

The gradient of OP is; (√3)/2, therefore, the gradient of the tangent at P is -2/(√3)

The form of the gradient of the tangent at P is b/(√3), therefore;

-2/(√3) = b/(√3)

b = -2

The value of b is; -2

c) The coordinate of the point on the tangent, (0, (7·√3)/c) indicates

Slope of the tangent = -2/(√3)

((7·√3)/c - ((3·√3)/4))/(0 - (3/2)) = -2/(√3)

((7·√3)/c - ((3·√3)/4)) = (3/2) × 2/(√3) = √3

(7·√3)/c = √3 + ((3·√3)/4) = 7·√3/4

Therefore; c = 4

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Answer:gamble that,on average,will leave a person with the same amount of money.

Step-by-step explanation:

Answer:

t3 = 8, t5 = 14

Step-by-step explanation:

t3 = 2 + (3-1) × 3

t3 = 2 + (2) × 3

t3 = 2 + 6

t3 = 8

t5 = 2 + (5-1) × 3

t5 = 2 + (4) × 3

t5 = 2 + 12

t5 = 14

The probability that the average length of a randomly selected bundle of steel rods is 155.8 then P = 0.174 cm

Given sample size 'n' = 30 steel rods

Mean of the Population = 155.1 cm

Standard deviation of the Population = 1.4 cm

Given x⁻ be the random variable of Normal distribution

Let x₁⁻ =  155.8cm

The probability that the average length of a randomly selected bundle of steel rods is  155.8-cm.

P(x⁻₁ < x⁻ <x⁻₂) = P(Z₁ < Z <Z₂)

                      = P(Z <Z₂) - P(Z<Z₁)

                     = 0.5 +A(1.629) - (0.5 +A(0.7541)

                     = A(1.629) - A(0.7541)

                     = 0.4474 - 0.2734

                     = 0.1

The probability that the average length of a randomly selected bundle of steel rods is 155.8 cm = 0.174

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First, we have to factorize by common factors

So, until this point we have this Now let's factorize the polynomial inside the parenthesis

That would be the final expression. Option A is correct

Answer:

Say you have to find two consecutive integers whose sum is 89. How do you go about this problem? You first take a variable, say x, the value of which is unknown to you. Next, you are supposed to take another number. Since the problem requires you to use two consecutive integers, the integer next to x will be (x + 1). Now as per the problem, the sum of x and (x+1) is 89. We represent this in the form of an equation: x + (x + 1) = 89. Solving this equation we get x as 44 and the next integer (x + 1) as 45, the sum of which is 89.

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

Since the girls have the same age, let their age be x.
Then, their average is

\(\frac{x+x}{2} = \frac{2x}{2} = x\)

Let \(S_{i}\) denote the age of 'i' girls.
Then, \(S_{8} = S_{6} + x + x - eq(1)\)

Also, we have,

\(\frac{S_{8}}{8} =15 - eq(2)\)

\(\frac{S_{6}}{6} =13 - eq(3)\)

Then eq(2):

(from eq(1) and eq(3))

\(\frac{S_{6} + 2x}{8} =15\\\\\frac{13*6 + 2x}{8} = 15\\\\78+2x = 120\\\\2x = 120-78\\\\x = 21\)

The average of the other two girls with equal age​ is 21