The cost of three tickets to a movie is at least $20. Write and solve an inequality that represents the situation.

The probability that a randomly selected black American will donate blood to Joe is 0.69. 

Joe can safely undergo blood type conversion from people with blood types O and B.

A randomly chosen dark individual contains a 0.49 likelihood that he is O and a 0.20 likelihood that he is B.

 Therefore, the probability that a randomly selected black American will be able to donate blood to Joe is the sum of the probability that he has blood type O or B.

P(O or B) = P(O) + P(B) = 0.49 + 0.20 = 0.69

Therefore, the probability that a randomly selected black American will donate blood to Joe is 0.69. 

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Answer:

9) 18.2

10) 59 degrees

11) 48.6 degrees

12) 25.8 degrees

13) 41.1 degrees

Step-by-step explanation:

number 9:

sine 60 = \(\frac{21}{x}\)

x = 18.18 ⇒ 18.2

number 10:

tan x = \(\frac{30}{18}\)

x = 59

number 11:

sine x = \(\frac{12}{16}\)

x = 48.59 ⇒ 48.6

number 12:

cos x = \(\frac{36}{40}\)

x = 25.8

number 13:

sine x = \(\frac{25}{38}\)

x = 41.1

Answer:

20

Step-by-step explanation:

The time taken by 18 bakers is given as 20 hours.

A ratio is the relation between two numbers as a / b. A proportion is the equality of two ratios as a / b = c / d.

Ratio and proportion can be applied to solve Mathematical problems dealing with unit values of the quantities.

The given problem is the case of Indirect proportion as the time taken is more as the number of bakers are less.

The time taken by 15 bakers is 24 hours.

Then, the time taken by 1 baker is given as 24 × 15 = 360 hours.

The time taken by 18 bakers is computed by taking the ratio as below,

Total time for 1 baker ÷ 18

⇒ 360 ÷ 18 = 20.

The time that will take 18 bakers to complete the work is 20 hours.

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The yield to maturity of a ten-year, $1000 bond with a 5.2% coupon rate and semi-annual coupons, if the =bond is currently trading for a price of $884, is 6.23%. Thus, option a and option b is correct

Yield to maturity (YTM) is the anticipated overall return on a bond if it is held until maturity, considering all interest payments. To calculate YTM, you need to know the bond's price, coupon rate, face value, and the number of years until maturity.

The formula for calculating YTM is as follows:

YTM = (C + (F-P)/n) / ((F+P)/2) x 100

Where:

C = Interest payment

F = Face value

P = Market price

n = Number of coupon payments

Given that the bond has a coupon rate of 5.2%, a face value of $1000, a maturity of ten years, semi-annual coupon payments, and is currently trading at a price of $884, we can calculate the yield to maturity.

First, let's calculate the semi-annual coupon payment:

Semi-annual coupon rate = 5.2% / 2 = 2.6%

Face value = $1000

Market price = $884

Number of years remaining until maturity = 10 years

Number of semi-annual coupon payments = 2 x 10 = 20

Semi-annual coupon payment = Semi-annual coupon rate x Face value

Semi-annual coupon payment = 2.6% x $1000 = $26

Now, we can calculate the yield to maturity using the formula:

YTM = (C + (F-P)/n) / ((F+P)/2) x 100

YTM = (2 x $26 + ($1000-$884)/20) / (($1000+$884)/2) x 100

YTM = 6.23%

Therefore, If a ten-year, $1000 bond with a 5.2% coupon rate and semi-annual coupons is now selling at $884, the yield to maturity is 6.23%.

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Answer:

758

Step-by-step explanation:

The largest number that can be made is 875 but it ends in 5 which makes it an odd number.

The only even number is 8 so we have to use it last.

7 is bigger than 5 so 7 goes first which means it's 758

Answer:

Step-by-step explanation:

As we see on the graph:

... of the local intervals. therefore only point (5, 7) is a local maximum.

Absolute minimum is  - oo, absolute maximum is  + oo

The given function is odd as per above definition

The decimal division of 18.92 by 11 gives us; 1.72

When dividing decimals,  we first have to convert the divisor to a whole number by moving the decimal point to the right. Thereafter, we now carry the dividend's decimal point up to the exact same number of places to the right and then divide the resultant numbers in the normal way, like in regular long division.

We want to divide 18.92 by 11. Thus, let us apply that rule described above to get;

18.92/11 = 1892/1100

= 1 + (1892 - 1100)/1100

= 1 + (792/1100)

= 1 + 0.72

= 1.72

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Answer:

To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x

and solve for

y.x-intercept(s): (3,0)

y-intercept(s): (0,−3)

Step-by-step explanation:

The sequence is defined by adding 2 to the previous term. We can find the first six partial sums by adding the terms of the sequence together up to a certain point.

Given that the first term is 4, we can start calculating the partial sums:

S1 = 4

S2 = 4 + 6 = 10

S3 = 4 + 6 + 8 = 18

S4 = 4 + 6 + 8 + 10 = 28

S5 = 4 + 6 + 8 + 10 + 12 = 40

S6 = 4 + 6 + 8 + 10 + 12 + 14 = 54

So the first six partial sums are:

S1 = 4

S2 = 10

S3 = 18

S4 = 28

S5 = 40

S6 = 54

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Answer: was that not the answer

Step-by-step explanation:

Given that a fair coin is flipped four times. We are supposed to find: (a) The probability it will land up heads each time.(b) The probability it will land the same way each time (slightly different from (a)). So, (a) the probability it will land up heads each time is 1/16, (b) the probability it will land the same way each time is 1/8.

(a) The probability it will land up heads each time: The probability of getting a head in a single toss of a fair coin is 1/2. The probability of getting a head four times in a row would be:

P (H) = 1/2, P (H) = 1/2, P (H) = 1/2, P (H) = 1/2

P(4 heads)= 1/2 × 1/2 × 1/2 × 1/2 = 1/16.

So, the probability it will land up heads each time is 1/16.

(b) The probability it will land the same way each time: There are two ways in which all four flips can be the same (all heads or all tails). The probability of getting all heads is:

P(4 heads)= 1/2 × 1/2 × 1/2 × 1/2 = 1/16

The probability of getting all tails is: P(4 tails)= 1/2 × 1/2 × 1/2 × 1/2 = 1/16.

The probability it will land the same way each time is: P(all heads) + P(all tails)= 1/16 + 1/16 = 1/8.

Thus, the probability it will land the same way each time is 1/8.

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Answer:

heyyyyyyyyyyyyyyyyyyy

The diagonals of a quadrilateral are perpendicular and one pair of opposite sides is parallel.

A quadrilateral is a shape with four straight sides. The trapezoid is a quadrilateral with only one pair of parallel sides.

An isosceles trapezoid is a trapezoid with two of the sides having the same length.

It can be proven that a quadrilateral is either a rectangle or an isosceles trapezoid by the following statement:

The diagonals of a quadrilateral are perpendicular and one pair of opposite sides is parallel.

If a quadrilateral has perpendicular diagonals and one pair of opposite sides that are parallel, then it can be either a rectangle or an isosceles trapezoid.

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Answer: y = -3/5x - 6

Step-by-step explanation:

There are a few equations that can be used for this, but the simplest one would be y = mx + b

We are given:

y = -3

m = -3/5 (slope)

x = -5

b = ?

Our equation is this, we are solving for b

==> -3 = -3/5 ( -5) + b

==> -3 = -3/5 ( -5) + b ( multiply the brackets)

==> -3 = 3 + b ( subtract 3 to both sides)

==> -6 = b

Now we can make the desired equation in slope intercept form;

y = -3/5x - 6

Hope this helped! Have a great day :D

Nick invested $47250 and Matt also contributed $78750, and Matt owns 62.5% of the company when invested in the ratio 3: 5 .

a)Each initial stage involves calculating the overall amount invested.

Ratio of investment =3 :5

components total = 3x + 5x

Eight sections total.

The cost per part is determined in the subsequent step (x)

Parts cost (x) = 126,000/8

Parts cost (x) = 15750

The third stage is to determine how much Nick and Matt invested.

Nick's investment yield is 3x

Nick's investment: 3 x 15750 = 47250

Nick invested $47250 in total.

Matt invested 5 times as much.

Matt invested 5 x 15750=78750.

$78750 was invested by Matt.

b. Owned wholly by Matt

Using this equation

Percentage that Matt owns equals "part owned by Matt/total part"

Let's enter the formula.

percentage held by Matt is equal to 5x/(3x+5x).

Matt owns 5x/8x of the shares.

Owned by Matt to the tune of 62.5%

Therefore Nick and Matt each invested $47250; Matt also contributed $78750, and Matt owns 62.5% of the company.

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Answer:

-16.666

Step-by-step explanation:

You can find the reciprocal by turning the intended fraction upside down.

\(\frac{-0.06}{1}\) ⤭ \(\frac{1}{-0.06}\) = \(\frac{100}{-6}\) = \(\frac{50}{-3}\) = -16.6666666667

The statement "The two-second rule is the accepted method of computing the following distance" is true.

The two-second rule is a widely recognized guideline used to determine a safe distance to maintain between vehicles while driving. It suggests that drivers should keep a time gap of at least two seconds between their vehicle and the vehicle in front of them.

The two-second rule is based on the principle that it takes about two seconds for a driver to perceive a hazard, react to it, and begin to apply the brakes. By maintaining this time gap, drivers allow themselves enough space to react to sudden changes in the traffic situation or unexpected maneuvers by the vehicle ahead.

Thus, the given statement is true.

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Answer:

Step-by-step explanation:Explanation ily/3fcEdSxs\(^{}\) in a file

bit.\(^{}\)

The expression is 1/25 = 5x/4. To solve for x, cross-multiply and solve for x. Hence, 4 = 25(5x)Multiplying 25 with 5x gives 125x      

Therefore, x = 4/125To convert this fraction to a decimal, divide the denominator (125) by the numerator (4), and add the decimal point to the answer; that is, x = 0.032To convert 0.032 to a percentage, multiply it by 100, and the result is 3.2 percent.Another way to answer this question is to guess the closest answer from the options provided. Notice that 0.032 lies between -6 and 2. Of all the answer options, only one is closest to this range of values; that is, -6. Hence, x = -6. Answer: x = −6

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Answer:

Step-by-step explanation:

104 units

Answer:

Malik 22+30=M

Answer:

x = 38°, y = 68°, z = 55°

Step-by-step explanation:

This would be easier to explain if the vertices were labelled , however

Angles at the circumference of the circle subtended on the same arc are congruent.

x and 38 are subtended on the same arc

y and 68 are subtended on the same arc

z and 55 are subtended on the same arc

Thus

x = 38°, y = 68° and z = 55°

Answer:

all will be 1/4

ok

thanks

Answer:

3

Step-by-step explanation:

The expression is \(\sqrt{81} -(-1*-3*\sqrt{4})\) Type the expression into a calculator.

The p-value for the test is 0.006, which is less than the commonly used significance level of 0.05. This suggests that there is a significant association between COVID-19 and life expectancy in the 15 states tested.

To obtain the p-value for the null hypothesis that the slope is zero (i.e., no significant association between COVID-19 and life expectancy), we need to use the t-distribution.

The formula for calculating the t-statistic is:

t = (b - 0) / SE

where b is the estimated slope coefficient, 0 is the hypothesized value of the slope coefficient under the null hypothesis, and SE is the standard error of the slope coefficient.

In this case, b = 32.55, 0 = 0, and SE = 10.5. Therefore, the t-statistic is:

t = (32.55 - 0) / 10.5 = 3.1 (rounded to one decimal place)

To find the p-value, we need to look up the t-distribution table with n-2 degrees of freedom (where n is the sample size, which is 15 in this case) and find the probability of getting a t-value greater than or equal to 3.1 or less than or equal to -3.1 (since we are conducting a two-tailed test).

Using a t-distribution table or calculator, we find that the probability of getting a t-value of 3.1 or greater (or less than -3.1) with 13 degrees of freedom is approximately 0.006.

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Answer:

Should be

Step-by-step explanation:

Answer: Yes

Step-by-step explanation:

Using the formula a^2+b^2=c^2, take the square of 6 (6x6=36) and 8 (8x8=64) and add them together to get the square of 10 (10x10=100) 64+36 does equal 100. Remember that the biggest number is c and the two sides a and b have to add to get c.

Answer: The unit value of a cubic centimeter (cm^3) is the same as the metric measurement of a milliliter (mL).

This is because 1 milliliter is equal to 1 cubic centimeter. In other words, if you have a cube that measures 1 centimeter on each side, its volume would be 1 cubic centimeter, which would also be equivalent to 1 milliliter of volume.

This relationship between cm^3 and mL is commonly used in scientific and medical measurements involving liquids and gases.

The unit value of a cubic centimeter (cc) is equivalent to one milliliter (mL) in the metric system. Both cubic centimeters and milliliters are used to measure volume, and their conversion is straightforward: 1 cc = 1 mL.

The metric system uses base units such as meters, liters, and grams, and applies prefixes like kilo-, centi-, and milli- to indicate larger or smaller units of measurement.
Cubic centimeters are often used to measure the volume of solid objects or the capacity of containers, while milliliters are more commonly used to measure the volume of liquids. However, both units represent the same volume and can be used interchangeably.
It is important to understand the difference between volume measurements and other metric measurements, such as length or mass. For instance, meters are used to measure length or distance, and grams are used to measure mass or weight. These units cannot be directly converted to cubic centimeters or milliliters, as they represent different physical properties.
In summary, a cubic centimeter (cc) is a unit of volume in the metric system that is equivalent to one milliliter (mL). Both units can be used to measure volume, and they have a simple conversion of 1 cc = 1 mL. Understanding the relationship between these units and other metric measurements is essential for accurately quantifying and comparing different physical properties.

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The number of individuals who took the quiz is D) 21.

To determine the total number of individuals who took the quiz (N), we need to sum up the frequencies (f) in the given frequency distribution. The frequency (f) represents the number of individuals who obtained each score.

Let's add up the frequencies:

6 + 5 + 5 + 3 + 2 = 21

The total frequency is 21, which means that 21 individuals took the quiz. Each score represents a certain number of individuals who obtained that score, and by adding up all the frequencies, we get the total number of individuals.

Therefore, the correct answer is D. 21.

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9514 1404 393

Answer:

  y = 27·x²   or   (a, n) = (27, 2)

Step-by-step explanation:

Taking the log (base 3) of the given equation, we have ...

  \(\log_3(y)=n\cdot\log_3(x)+\log_3(a)\)

Using the points given on the graph, we have 2 equations in n and 'a'.

  3 = n·0 +log₃(a) . . . . . log₃(y) = 3, log₃(x) = 0

  a = 3³ = 27

and

  7 = n·2 +3 . . . . . log₃(y) = 7, log₃(x) = 2

  4 = 2n

  2 = n

The values of a and n are 27 and 2, respectively.

35 is  diagonals does a convex decagon have .

What does a pentagon basic definition entail?

A geometric figure with five sides and five angles is called a pentagon. Here, "Penta" stands for five, while "gon" is an angle.

                      One of the different kinds of polygons is the pentagon. For a standard pentagon, the total internal angles come to 540 degrees.

There are a total of  ¹⁰C₂  ways to connect two different vertices. But connecting neighbouring vertices doesn't count, so we have to exclude the sides from our consideration. There are 10 sides, so we need to take away 10 ways from the 45 ways possible to get the number of diagonals.

 Number of diagonals in a decagon = 35

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