PLEASEEEE HELP ME RIGHT NOW

The correct statement regarding the angle measures is given as follows:

m < 1 + m < 4 > m < 3.

The given angle measure is as follows:

m < 3 = 119º.

Angles 3 and 4 form a linear pair, meaning that they are supplementary, that is, the sum of their measures is of 180º.

Hence the measure of angle 4 is given as follows:

m < 4 + m < 3 = 180º.

m < 4 = 180º - 119º

m < 4 = 61º.

Angles 1 and 4 are opposite by the same vertex, hence they are congruent, thus the measure of angle 1 is given as follows:

m < 1 = m < 4

m < 1 = 61º.

Hence:

m < 1 + m < 4 = 2 x 61

m < 1 + m < 4 = 122º

122º > 119º

m < 1 + m < 4 > m < 3.

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The vertex form of an equation is,

⇒ y = - 7 (x - 1)² + 2

An algebraic equation with the second degree of the variable is called an Quadratic equation.

We have to given that;

The equation is,

⇒ y = - 7x² + 14x - 5

Now, We can solve the equation for the vertex form as;

⇒ y = - 7x² + 14x - 5

⇒ y = - 7 (x² - 2x + 1) + 7 - 5

⇒ y = - 7 (x - 1)² + 2

Thus, The vertex form of an equation is,

⇒ y = - 7 (x - 1)² + 2

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Answer:

90.393

Step-by-step explanation:

Answer:

"90.393"

Step-by-step explanation:

quoted from "https://percentages.calculators.ro/22-number-increased-with-percentage-of-its-value.php?number=87&percentage_increase=3.9&new_value=90.393"

Answer:

The square at angle EOG represents a right angle, meaning the angle there is 90 degrees.

Thus,

\(3y+27=90\)

\(3y=63\)

\(y=21\)

The angles on a straight line add up to 180 degrees.

Therefore,

\(x+90+8x+18=180\)

\(9x+108=180\)

\(9x=72\)

\(x=8\)

Given:

There is a coordinate sof triangle given as below

Required:

If dialation factor is 1.5 thn find the coordinates of B'

Explanation:

As we know that dialation factor is 1.5

so

B' is

Final answer:

B'(6.12)

The value of y is 18

Similar triangles have the same corresponding angle measures and proportional side lengths. The angles of the two triangle must be equal and it not necessary they have equal sides.

Therefore the corresponding angles of similar triangles are congruent and the ratio of corresponding sides of similar triangles are equal.

Therefore;

14/21 = 12/y

14y = 21 × 12

14y = 252

divide both sides by 14

y = 252/14

y = 18

Therefore the value of y is 18.

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The length of the arc of radius 65 feet is 170.2 feet. And the right option is C) 170.2 feet.

An arc of a circle is the smooth curve formed from the two-chord endpoints.

To calculate the length of the arc between two cars on the ferris wheel, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the length of the arc is 170.2 feet.

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Answer:

And at 2:00, the minute hand is on the 12 and the hour hand is on the 2. The correct answer is 2 * 30 = 60 degrees.

Based on the data given in the table, B. Median for both coffee shops because the data distribution is not symmetric

It is better to describe the centers of distribution in terms of the median rather than the mean for both coffee shops because the data distribution is not symmetric.

The median is a better measure of central tendency in this case because it is not influenced by outliers or extreme values, which may exist in the data.

The mean, on the other hand, is sensitive to outliers and may not provide an accurate representation of the data distribution.

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The percentile of 6.2 in the given data set is 40%.

To determine the percentile of 6.2 in the given data set, we can use the following steps:

Arrange the data set in ascending order:

4.2, 4.6, 5.1, 6.2, 6.3, 6.6, 6.7, 6.8, 7.1, 7.2

Count the number of data points that are less than or equal to 6.2. In this case, there are 4 data points that satisfy this condition: 4.2, 4.6, 5.1, and 6.2.

Calculate the percentile using the formula:

Percentile = (Number of data points less than or equal to the given value / Total number of data points) × 100

In this case, the percentile of 6.2 can be calculated as:

Percentile = (4 / 10) × 100 = 40%

The percentile of 6.2 in the sample data set is therefore 40%.

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Since the exchange rate cannot be negative, we can discard the second solution. Therefore, the exchange rate in 1964 was $3.5 to £1.

An equation is a statement that shows the equality of two expressions, typically separated by an equal's sign (=). It can be represented using variables, constants, mathematical operations, and sometimes functions. The purpose of an equation is to find the value(s) of the variable(s) that make the equation true. Equations are an essential tool in mathematics and are used in many fields, including physics, engineering, economics, and finance. Some examples of equations are:

\(2x+3=7\)

by the question

that this can be reduced to\(2x^2+3x-25=0\). Solve this equation for x.

Let's start by defining some variables:

Let x be the exchange rate in 1964, in dollars to £1.

Let y be the exchange rate in 1952, in dollars to £1.

Using the information given, we can write:

\(In 1964, $1 / x =£1.\)

\(In 1952, $1.5 + $1 / y = £1.\)

To find the number of pounds he received for $100, we can use the following expressions:

\(In 1964, $100 / x = £(100/x).\)

\(In 1952, $100 / (y + $1.5) = £(100/(y + $1.5)).\)

We are told that in 1952 he received £12 less for his $100 than in 1964, so:

\(£(100/x) - £(100/(y + $1.5)) = 12.\)

Now we can substitute the expressions we found earlier for £1 and simplify:

\((100/x) - (100/(y + $1.5)) = 12\)

\(100(y + $1.5)/xy - 100x/(xy + x$1.5) = 12\)

\(100y + 150 - 100x = 12xy + 18x\)

\(12xy + 18x - 100y + 100x = 150\)

\(2xy + 3x - 25 = 0\)

This is a quadratic equation in x. We can solve it using the quadratic formula:

\(x = (-b ± sqrt(b^2 - 4ac)) / 2a\)

In this case, a = 2, b = 3, and c = -25. Substituting these values, we get:

\(x = (-3 ± sqrt(3^2 - 42(-25))) / 4\)

\(x = (-3 ± sqrt(289)) / 4\)

The two solutions are:

\(x = (-3 + 17) / 4 = 3.5\)

\(x = (-3 - 17) / 4 = -5\)

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The slope of the line is 7/9

It is important to note that the equation of a line is represented as;

y = mx + c

Where;

The formula for calculating the slope of a line is expressed as;

Slope, m = y₂ - y₁/x₂ - x₁

Now, let's substitute the values into the formula from the points given we have;

Slope, m =1 -(-6)/ -3 - (-6)

expand the bracket

Slope, m = 1 + 6/ 3 + 6

add the values

Slope, m = 7/9

Hence, the value is 7/9

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Hello!

The common denominator is 100.

~Sophia

Answer:

Step-by-step explanation:

(a)

The bid should be greater than $10,000 to get accepted by the seller. Let bid x be a continuous random variable that is uniformly distributed between

$10,000 and $15,000

The interval of the accepted bidding is \([ {\rm{\$ 10,000 , \$ 15,000}]\), where b = $15000 and a = $10000.

The interval of the provided bidding is [$10,000,$12,000]. The probability is calculated as,

\(\begin{array}{c}\\P\left( {X{\rm{ < 12,000}}} \right){\rm{ = }}1 - P\left( {X > 12000} \right)\\\\ = 1 - \int\limits_{12000}^{15000} {\frac{1}{{15000 - 10000}}} dx\\\\ = 1 - \int\limits_{12000}^{15000} {\frac{1}{{5000}}} dx\\\\ = 1 - \frac{1}{{5000}}\left[ x \right]_{12000}^{15000}\\\end{array}\)

\(=1- \frac{[15000-12000]}{5000}\\\\=1-0.6\\\\=0.4\)

(b)  The interval of the accepted bidding is [$10,000,$15,000], where b = $15,000 and a =$10,000. The interval of the given bidding is [$10,000,$14,000].

\(\begin{array}{c}\\P\left( {X{\rm{ < 14,000}}} \right){\rm{ = }}1 - P\left( {X > 14000} \right)\\\\ = 1 - \int\limits_{14000}^{15000} {\frac{1}{{15000 - 10000}}} dx\\\\ = 1 - \int\limits_{14000}^{15000} {\frac{1}{{5000}}} dx\\\\ = 1 - \frac{1}{{5000}}\left[ x \right]_{14000}^{15000}\\\end{array} P(X<14,000)=1-P(X>14000)\)

\(=1- \frac{[15000-14000]}{5000}\\\\=1-0.2\\\\=0.8\)

(c)

The amount that the customer bid to maximize the probability that the customer is getting the property is calculated as,  

The interval of the accepted bidding is [$10,000,$15,000],

where b = $15,000 and a = $10,000. The interval of the given bidding is [$10,000,$15,000].

\(\begin{array}{c}\\f\left( {X = {\rm{15,000}}} \right){\rm{ = }}\frac{{{\rm{15000}} - {\rm{10000}}}}{{{\rm{15000}} - {\rm{10000}}}}\\\\{\rm{ = }}\frac{{{\rm{5000}}}}{{{\rm{5000}}}}\\\\{\rm{ = 1}}\\\end{array}\)

(d)  The amount that the customer bid to maximize the probability that the customer is getting the property is $15,000, set by the seller. Another customer is willing to buy the property at $16,000.The bidding less than $16,000 getting considered as the minimum amount to get the property is $10,000.

The bidding amount less than $16,000 considered by the customers as the minimum amount to get the property is $10,000, and greater than $16,000 will depend on how useful the property is for the customer.

The correct answer is, by choosing a = -2 and b = 1, we satisfy both inequalities .a < b:

To make both inequalities true, we need to select values for a and b that satisfy the given conditions:

a < b: This inequality means that the value of a should be less than the value of b.

|b| < |a|: This inequality means that the absolute value of b should be less than the absolute value of a.

One possible solution that satisfies both conditions is:

a = -2

b = 1

With these values, we have:

-2 < 1 (a < b)

|-1| < |2| (|b| < |a|)

Therefore, by choosing a = -2 and b = 1, we satisfy both inequalities.a < b:

This inequality states that the value of a should be less than the value of b. In other words, a needs to be positioned to the left of b on the number line. To satisfy this condition, we can choose a to be any number that is less than b. In the example I provided, a = -2 and b = 1, we can see that -2 is indeed less than 1, fulfilling the requirement.

|b| < |a|:

This inequality involves the absolute values of a and b. The absolute value of a number is its distance from zero on the number line, always resulting in a non-negative value. The inequality states that the absolute value of b should be less than the absolute value of a. To satisfy this condition, we can choose b to be any number with a smaller absolute value than a. In the example I provided, |1| is less than |(-2)|, as 1 is closer to zero than -2, fulfilling the requirement.

By selecting a = -2 and b = 1, we satisfy both inequalities: a < b and |b| < |a|. The specific values of -2 and 1 were chosen as an example, but there are multiple other values that would also satisfy the given conditions. The important aspect is that a is indeed less than b, and the absolute value of b is smaller than the absolute value of a.

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The present value of the annuity is approximately `7032.08. The correct answer is option (d) None of these.

To find the present value of an annuity, we can use the formula:

PV = PMT * (1 - (1 + r)^(-n)) / r

Where PV is the present value, PMT is the periodic payment, r is the interest rate per period, and n is the number of periods.

In this case, the periodic payment is `200, the interest rate is 5% (or 0.05) converted quarterly, and the number of periods is 10 years, which equals 40 quarters.

Plugging in these values into the formula, we get:

PV = 200 * (1 - (1 + 0.05)^(-40)) / 0.05

Simplifying the equation, we find:

PV ≈ 200 * (1 - 0.12198) / 0.05

PV ≈ 200 * 0.87802 / 0.05

PV ≈ 35160.4 / 0.05

PV ≈ 7032.08

Therefore, the present value of the annuity is approximately `7032.08.

None of the provided answer options (a), (b), or (c) match this result. The correct answer is (d) None of these.

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Answer: 22 minutes

Step-by-step explanation: m + 2m + m + 7 = 4m + 7

4m + 7 = 50

4m = 44

m = 11

2m = 11 x 2 = 22 minutes

The indicated measures in the given circle are:

a. m<A = 38°;   b. m(CE) = 56°;    c. m<C = 38°;   d. m<D = 39°;  

e. m<ABE = 67°

In order to find the indicated measures in the circle, recall that the measure of an inscribed angle is half of the measure of the intercepted arc based on the inscribed angle theorem.

Thus, we have:

a. m<A = 1/2(m(BD))

Substitute:

m<A = 1/2(76)

m<A = 38°

b. m(CE) = 2(m<CBE))

Substitute:

m(CE) = 2(28)

m(CE) = 56°

c. m<C = 1/2(m(BD))

Substitute:

m<C = 1/2(76)

m<C = 38°

d. m<D = 1/2(m(AC))

Substitute:

m<D = 1/2(78)

m<D = 39°

e. m<ABE = 1/2(m(ACE))

m<ABE = 1/2(m(AC) + m(CE))

Substitute:

m<ABE = 1/2(78 + 56)

m<ABE = 67°

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Answer:

a)95%  confidence intervals for the population mean of light bulbs in this batch

(325.5 ,374.5)

b)

The calculated value Z = 4 > 1.96 at 0.05 level of significance

Null hypothesis is rejected

The manufacturer has not right to take the average life of the light bulbs is 400 hours.

Step-by-step explanation:

Given sample size n = 64

Given  mean of the sample x⁻ = 350

Standard deviation of the Population σ = 100 hours

The tabulated value Z₀.₉₅ = 1.96

95%  confidence intervals for the population mean of light bulbs in this batch

\((x^{-} - Z_{\frac{\alpha }{2} } \frac{S.D}{\sqrt{n} } , x^{-} + Z_{\frac{\alpha }{2} }\frac{S.D}{\sqrt{n} } )\)

\((350 - 1.96\frac{100}{\sqrt{64} } , 350 + 1.96\frac{100}{\sqrt{64} } )\)

\((350 -24.5, 350 +24.5)\)

(325.5 ,374.5)

b)

Explanation:-

Given mean of the Population μ = 400

Given sample size n = 64

Given  mean of the sample x⁻ = 350

Standard deviation of the Population σ = 100 hours

Null hypothesis : H₀:The manufacturer has right to take the average life of the light bulbs is 400 hours.

μ = 400

Alternative Hypothesis: H₁: μ ≠400

The test statistic

\(Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }\)

\(Z = \frac{350 -400}{\frac{100}{\sqrt{64} } }\)

|Z| = |-4|

The tabulated value   Z₀.₉₅ = 1.96

The calculated value Z = 4 > 1.96 at 0.05 level of significance

Null hypothesis is rejected.

Conclusion:-

The manufacturer has not right to take the average life of the light bulbs is 400 hours.

Answer:

9.825 rounded to nearest 5-9.82500

10-9.8

100-9.83

1,000-9.825

Step-by-step explanation:

You can also look up a rounding calculator if you need more help :)

multiply the top equation by 5

multiply the bottom equation by 2

Answer:

He needs 8 health packs

Step-by-step explanation:

3x + 5 \(\geq\) 29

3x \(\geq\) 24

x \(\geq\) 8

A quadrilateral is a figure having four sides and four angles. The six types of quadrilaterals are rectangle, square, parallelogram, rhombus, kite and trapezoid.

According to the question,

We have to name six types of quadrilaterals by first defining a quadrilateral.

A quadrilateral is a figure where it has four sides and four angles. These sides and angles may sometimes be equal to each other and sometimes may be not. However, in all quadrilaterals, the sum of all four angles is 360°.

Six types of quadrilateral are rectangle (opposite sides of rectangle are equal), square (all sides are equal and each angle is a right angle), parallelogram (opposite sides are parallel and equal), rhombus, kite and trapezoid.

Hence, a quadrilateral is a figure having four sides and four angles. The six types of quadrilaterals are rectangle, square, parallelogram, rhombus, kite and trapezoid.

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Answer:

LR = 13

Step-by-step explanation:

LAR is a right triangle and if two sides are known you can you use the pythagorean theorem to find the missing side

LA = 5

AR = 12

5² + 12² = LR²

LR² = 25 + 144

LR² = 169

LR = √169 = 13

The length of the rectangle is twice its width. If its perimeter is 7 1/3 cm, its length will be 22/9 cm, and the width is 11/9 cm.

Let's assume the width of the rectangle is "b" cm.

According to the given information, the length of the rectangle is twice its width, so the length would be "2b" cm.

The formula for the perimeter of a rectangle is given by:

Perimeter = 2 * (length + width)

Substituting the given perimeter value, we have:

7 1/3 cm = 2 * (2b + b)

To simplify the calculation, let's convert 7 1/3 to an improper fraction:

7 1/3 = (3*7 + 1)/3 = 22/3

Rewriting the equation:

22/3 = 2 * (3b)

Simplifying further:

22/3 = 6b

To solve for "b," we can divide both sides by 6:

b = (22/3) / 6 = 22/18 = 11/9 cm

Therefore, the width of the rectangle is 11/9 cm.

To find the length, we can substitute the width back into the equation:

Length = 2b = 2 * (11/9) = 22/9 cm

So, the length of the rectangle is 22/9 cm, and the width is 11/9 cm.

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Answer:

I don’t even know

Step-by-step explanation:

Answer:

B. 9

Step-by-step explanation:

5x + 7 = 52

     - 7    - 7

5x = 45

x = 45 ÷ 5

x = 9

Answer:

Answer is x=9 so it will be B

Answer: The answer would be $20, because 20% 5 times is 100% and 4 times 5 is 20