There are 7 roses in a vase of 15 flowers. The rest are daisies. (a) What is the ratio of daisies to roses? (b) What is the ratio of all flowers in the vase to daisies?
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Answer:

Solution in attached photo.

Step-by-step explanation:

The solution is attached as a photo. This Question tests on the concept of Angle Properties.

Properties required:

1) Angles in a straight line sums up to 180°.

The correct answer is C) 9.9 lbs as it is above the upper boundary 6.4865, it is the outlier in this dataset.

An outlier is an observation that is much higher or lower than the other observations in a dataset.

In this case, the weights of the catfish range from 2.7 to 4.8 lbs, with one observation that is much higher at 9.9 lbs.

Therefore, 9.9 lbs is the outlier in this dataset.

To find the outlier in this dataset, we can calculate the interquartile range (IQR).

This is done by first calculating the first quartile (Q1) and third quartile (Q3).

The Q1 for this dataset =3.75

and the Q3= 4.675.

IQR= Q3 - Q1

= 0.925.

We then calculate the lower boundary as Q1 - (1.5 x IQR) = 2.3625.

The upper boundary is Q3 + (1.5 x IQR)= 6.4865.

Since 9.9 lbs is above this upper boundary, it is the outlier in this dataset.

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The linear regression equation that represents this set of data is given as follows:

y = 0.7x + 15.8.

The projected test grade for a student with a homework grade of 83 is given as follows:

73.9.

To find the regression equation, also called line of best fit or least squares regression equation, we need to insert the points (x,y) in the calculator.

The points for this problem are given as follows:

(59, 59), (69, 67), (64, 67), (89, 77), (75, 64), (51, 45), (68, 69), (78,70).

Inserting these points into a calculator, the equation is given as follows:

y = 0.7x + 15.8.

Then the projected test grade for a student with a homework grade of 83 is obtained as follows:

y = 0.7(83) + 15.8

y = 73.9.

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Answer:

D

Step-by-step explanation:

Answer:

The expression for the area of the shaded region is:

\(5x^2+7x-26\)

Step-by-step explanation:

The area of the shaded region of the given figure can be calculated by subtracting the area of the unshaded inner rectangle from the area of the outer rectangle.

The area of a rectangle is the product of its width and length:

\(\boxed{A=w \cdot l}\)

Therefore, the area of the inner (unshaded) rectangle is:

\(\begin{aligned}\sf Area_{inner}&=(x-3)(x-6)\\&=x^2-6x-3x+18\\&=x^2-9x+18\end{aligned}\)

The area of the outer rectangle is:

\(\begin{aligned}\sf Area_{outer}&=(2x+2)(3x-4)\\&=6x^2-8x+6x-8\\&=6x^2-2x-8\end{aligned}\)

Therefore, the area of the shaded region is:

\(\begin{aligned}\sf Area_{shaded\;region}&=\sf Area_{outer}-Area_{inner}\\&=(6x^2-2x-8)-(x^2-9x+18)\\&=6x^2-2x-8-x^2+9x-18\\&=6x^2-x^2+9x-2x-8-18\\&=5x^2+7x-26\end{aligned}\)

Answer:

true

Step-by-step explanation:

it says that it is a triangle.

hope this helped!

The given expression is,

Here, a = -2, b = 3 and c = 6.

Thus, the answer is 57.

Therefore, the discriminant can be calculated as,

Answer:

12.03%

Step-by-step explanation:

The z score i used to measure by how many standard deviations the raw score is above or below the mean. It is given by the equation:

\(z=\frac{x-\mu}{\sigma}\\ \\where\ \mu=mean,\sigma=standard \ deviation,x=raw\ score\)

a) For variety A, the mean = μ = 90, standard deviation = σ = 8

For x = 100 grams:

\(z=\frac{x-\mu}{\sigma} =\frac{100-90}{9} =1.11\)

For x = 110 grams:

\(z=\frac{x-\mu}{\sigma} =\frac{110-90}{9} =2.22\)

From the normal distribution table, P(100 < X < 110) = P(1.11 < z < 2.22) = P(z < 2.22) - P(z < 1.11) = 0.9868 - 0.8665 = 0.1203 = 12.03%

Answer:

18 metres

Step-by-step explanation:

since the question tells us the Grid is in metres that means one square has to have its side equal 1 metre, so just count all the sides of the square on the black line to find the perimeter

Answer:

d

d

d

s

d

sd

fdfaf

Step-by-step explanation:

The correct way to calculate the percent change between the original value of $750 and the new value of $1,000 is option C.

C. (1,000 - 750)/750 = 250/750 = 1/3 ≈ 0.3333 = 33.33%

Therefore, the correct answer is option C, which represents a percent change of approximately 33.33%.

Answer:

When combining like terms, such as 2x and 3x, we add their coefficients. For example, 2x + 3x = (2+3)x = 5x.

Step-by-step explanation:

Answer:

example: 1x+2x+5y+3y

if you combine like terms you would be combining anything with a x to other x's and anything with a y to other y's.. etc..

the example combined would be: 3x+8y

hope I was able to help

Step-by-step explanation:

Answer:

Karen: 15; Dale: 9; Tom: 60

Step-by-step explanation:

"Karen and Dale and Tom sent a total of 84 messages during the weekend."

k + d + t = 84

"Dale sent six fewer messages than Karen"

d = k - 6

"Tom sent four times as many as Karen."

t = 4k

Substitute k - 6 for d and 4k for t in the first equation.

k + d + t = 84

k + k - 6 + 4k = 84

6k - 6 = 84

6k = 90

k = 15

d = k - 6 = 16 - 6 = 9

t = 4k = 4(15) = 60

Answer: Karen: 15; Dale: 9; Tom: 60

The range is {y | −7 ≤ y ≤ 2}.

Range is defined as the difference between the largest and smallest item in a distributiοn.

The range οf the functiοn is {y | −7 ≤ y ≤ 2}.

The graph starts at an οpen circle at negative 3 cοmma negative 7 and increases tο a maximum pοint at 0 cοmma 2 befοre decreasing again tο a clοsed circle at 2 cοmma negative 2. Therefοre, the lοwest pοint οf the graph is at y = -7 and the highest pοint is at y = 2.

Since the graph is cοntinuοus and the parabοla is symmetric arοund its vertex, every y value between -7 and 2 is included in the range.

Hence, the range is {y | −7 ≤ y ≤ 2}.

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The area of the rectangle is 27/70 square feet.

The area of a rectangle is given by the formula:

Area = base x height

Plugging in the given values, we get:

Area = (3/7) x (9/10)

Simplifying, we get:

Area = (27/70) square feet

Therefore, the area of the rectangle is 27/70 square feet.

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1. The volume of the black bag is 1728 cubic inches. 2. The volume of the blue bag is 2700 cubic inches. 3. The black bag will fit in the Check Box. 4. The bigger suitcase is 27 times larger than the smaller suitcase.

Volume, which is commonly expressed in cubic units, is the amount of space occupied by a three-dimensional object. By multiplying an object's length, breadth, and height, as well as other formulas depending on the shape of the object, one can get the volume of the thing. Volume is a key concept in many practical applications, including calculating container capacity, constructing structures, and estimating the amount of material required for a construction project. Volume is utilised in many branches of mathematics, science, and engineering.

For the given dimensions of the bags we have:

1. The volume of the black bag is:

18 x 12 x 8 = 1728 cubic inches

2. The volume of the blue bag is:

18 x 15 x 10 = 2700 cubic inches

3. The black bag will definitely fit in the Check Box because its volume of 1728 cubic inches is less than the volume of the Check Box, which is 2772 cubic inches.

4. The ratio of bigger suitcase to smaller suitcase is:

75 x 20 x 18 = 27000 cubic inches

25 x 8 x 9 = 1800 cubic inches

27000 / 1800 = 27

The bigger suitcase is 27 times larger than the smaller suitcase.

5. Now, if the watermelons is about 10 inches long and 9 inches wide, then its height would be:

720 = 10 x 9 x H

720 = 90H

H = 8 inches

The maximum amount of watermelons that can fit are:

27000 / 720 = 37.5 watermelons = 37 watermelons.

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$231784 is the  to raise a child from birth to 17 years in a household with an annual income of $78,300.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

Let y represents  the total cost in dollars f raising a child in the United States from birth to 17 years

x represents the households annual income

We have  y = 1.55x + 110,419

We need to find the value of y for x=78300

y=1.55(78300) + 110,419

y=231784

Hence, $231784 is the  to raise a child from birth to 17 years in a household with an annual income of $78,300.

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The standard deviation of the difference in the weights of the two oranges is equal to sqrt(1.2^2 + 1.2^2) = 1.7 ounces.

What do you mean by standard deviation?

The term "standard deviation" (or "") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.

The standard deviation of the difference in the weights of the two oranges is equal to the square root of the sum of the squares of the standard deviations of the two oranges. This is because the weights of the two oranges are independent random variables.

Therefore, the standard deviation of the difference in the weights of the two oranges is equal to sqrt(1.2^2 + 1.2^2) = 1.7 ounces.

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Answer:

19.99%

Step-by-step explanation:

hope this helps

here you go

When writing a proof, you should construct the first statement by copying the “prove” statement(s) from the original problem. The Option B is correct.

When constructing the first statement in a proof, it is important to begin with copying the “prove” statement(s) from the original problem. This involves writing the next statement based on the given or previously proven statements.

It is not helpful to write a justification for the first statement in the right column without considering its logical connection to the problem. By beginning with a logically connected statement, the proof can proceed in a clear and organized manner which leads to a valid conclusion.

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Answer:

6.8, 8.8, 26.4

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer/how I got this answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

Notes are commonly issued on discounted value when the issuer needs to raise funds quickly and is willing to accept a lower price for the note in exchange for immediate cash.

Notes can be issued either at their face value or at a discounted value.

A note is issued at its face value, the price of the note is the same as the face value of the note.

This is known as issuing the note at par value or face value.

A note is issued at a discounted value, the price of the note is lower than the face value of the note.

This is known as issuing the note at a discount.

The difference between the face value of the note and the discounted value is called the discount.

The investor who purchases the note at a discounted value will receive the face value of the note when it matures.

Notes may be issued at face value or at a discount from that amount.

The price of a note is equal to its face value when it is issued, or at face value.

The note will then be issued at face value or par value.

A note is sold for less than its face value when it is issued at a reduced price.

This is referred to as discounting the note's issuance.

The discount is the amount that separates the note's face value from its reduced value.

The face value of the note will be paid to the investor who paid the reduced price when the note matures.

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The equation of line containing vertices (8,4) is y = 4.

Y = mx+b, where m is the slope and b is the y-intercept, is the formula for the slope-intercept form (the point where the line crosses the y-axis). Using y=mx+b to graph a line is typically simple. The standard form and the point-slope form are other formats for linear equations.

Equation of line in slope - intercept form is

y = mx + c

where m= slope

c = y - intercept

As it is given that equation of line is horizontal,

this implies

x = 0

y = m (0) + c

y = c

Now, the given coordinates are (8,4)

Slope of the equation equals 0 As the line is horizontal.

⇒ y = 0 (8) + 4

⇒ y = 4

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The cost to treat one person who has TB is R1,579.82, rounded to 2 decimal places.

Total cost refers to the sum of all expenses incurred in producing a product or providing a service. It includes both the fixed costs (costs that remain constant regardless of the level of output) and variable costs (costs that vary with the level of output)

To calculate the cost to treat one person who has TB, we need to divide the total cost of treating all infected people by the number of infected people:

Cost to treat one person = Total cost of treatment / Number of infected people

Plugging in the given values, we get:

Cost to treat one person = R84,724,707 / 53,642

Cost to treat one person = R1,579.82

Therefore, the cost to treat one person who has TB is R1,579.82, rounded to 2 decimal places.

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Answer:

Josh spent $29.87

Step-by-step explanation:

$12.99 + 3.75×4.5 = $29.865 ≈ $29.87

Answer:

Okay, so what you first want to do is is find out what 3.75 times 4 1/2 is. First you can start by transitioning 4 1/2 into decimal form like so:

And then multiply 3.75 times 4.5

Then add you quotient to the amount of money that he paid for the flat rate:

Answer = $26.86

Step-by-step explanation:

Answer:

142

Step-by-step explanation:

hope this help love y all!

If 30% children travelling by bus is represented by 360 children, then total number of students who attended the school are 1200.

The "Percent" is a way of expressing a fraction or proportion as a number out of 100. It is a unit of measurement used to represent the relative size or amount of something compared to the whole.

If 30% of the children at a particular school travel by bus and this represents 360 children, we use this data to find total number of children who attend the school.

Let "X" be = total number of children at the school.

We know that 30% of X represents 360 children, so we can write an equation:

⇒ 30% of X = 360,

⇒ 30% × X = 360,

⇒ 0.3 × X = 360,            ...because 30% = 0.3,

⇒ X = 360/0.3 = 1200,

Therefore, there are 1200 students who attend the school.

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Answer:

28 yd²

Step-by-step explanation:

finding the area of a triangle is (base * height) / 2.

(14*4)=56

56/2=28

Answer: c

Step-by-step explanation:

Just took the test

Answer:

Step-by-step explanation: