Hal's backpack weighs 3.54 pounds. Sarah's pack weighs 2.129 pounds. Frank's pack weighs 2.8 pounds. Select True or False for each statement. True False False True a. Hal's backpack weighs 1.429 pounds more than Sarah's. b. The combined weight of the backpacks is more than 8.5 pounds. C. Frank's backpack is 0.671 pound heavier than Sarah's. d. Hal's backpack is less than 1 pound heavier than Frank's. True False True False​

The boldface numbers in the quote represent measures of relative risk.

One way to measure the likelihood of an event happening in a particular group is to calculate the relative risk, which compares the probability of the event occurring in that group to the likelihood of the same event occurring in a different group.

The phrase highlighted in bold font, "20 times greater," denotes the proportionate hazard that female smokers face in comparison to their non-smoking counterparts. The second significant figure, which indicates a "10-fold increase," indicates the comparative risk for male smokers compared to non-smokers.

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The value of the missing side lengths x and y are 5√2 and 5 respectively.

The figure in the image is a right triangle.

Angle θ = 45 degree

Hypotenuse = x

Opposite to angle θ = y

Adjacent to angle θ = 5

To solve for side x and side y, we use the trigonometric ratio.

Note that:

Cosine = adjacent / hypotenuse

tangent = opposite / adjacent

Solving for x:

Cosine = adjacent / hypotenuse

Plug in the values

cos( 45 ) = 5/x

x = 5 / cos( 45 )

x = 5√2

Solving for side y:

tangent = opposite / adjacent

Plug in the values

tan( 45 ) = y/5

y = tan( 45 ) × 5

y = 5

Therefore, the value of side length x is 5 units.

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Given the graph of f(x) and the function:

You need to remember that, by definition, the Axis of Symmetry of a parabola passes through its vertex, and divides the parabola into two equal parts.

• You can identify in the graph that the vertex of the parabola is its maximum point:

Therefore, you can draw the vertical lines that pass through the vertex:

Notice that the x-coordinate of each point on the line is always the x-coordinate of the vertex of the parabola. Therefore, the equation for that line is:

• In order to find the Axis of Symmetry of g(x), you need to rewrite it in this form:

By definition:

Therefore, you can expand the function:

Now you can find the Axis of Symmetry using this formula:

In this case:

Then, you get:

Hence, the answer is: Option B.

Answer:

Do not reject the null hypothesis at = 0.05 level.

Step-by-step explanation:

There's a saying like " If P is low, H.o must go" or "if P is low, reject the H.o".

H.o is another way of saying null hypothesis.

In our situation, our p values is actually bigger than the significance level thus we cannot reject the H0. We can never accept accept null. Thus the only thing we can say is "Do not reject the null hypothesis at = 0.05 level". We also say "Fail to reject the null".

I don't know about what you were taught but for me, we were taught to usually not bring alternative hypothesis in discussion b/c the point of the whole study is to disprove or find contrary information to null hypothesis thus we either reject null or fail to reject it (nothing to do with alternate)

Answer:

area of sector dfe=(360-110)/360×πr²=250/360×22/7×4²=34.9=35ft²

In the given origami of the two dimensional figure , the value of angle 2 is 70° and the value of angle 1 is 110 °

Parallel lines are straight lines that do not intersect at any point in geometry.

Parallel planes are three-dimensional pathways that never intersect. Parallel curves do not touch or intersect and have a fixed minimum distance.

From the figure we can see that m∠1 = 4x-30 as they are vertically opposite angles.

Again m∠1 = 3x+5 as they are corresponding angles from the pair of parallel lines.

now let us solve the linear equation to calculate the value of x.

3x+5 = 4x-30

or, -x = -35

or, x = 35

Now

m∠1 = 3x+5 = 110

Therefore m∠2 = 180 -110 = 70 ( straight angle formed whose sum is 180)

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Answer: The percentage of people surveyed who liked blue cars is 50%.

Step-by-step explanation:

Total number of people partaking in survey= 36

number of people who like blue cars= 18

therefore, fraction of people who liked blue cars= \(\frac{18}{36}\)

hence, percentage of people who liked blue cars= (18/36)*100 %

                                                                                  = 50%  

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Answer:

Percentage of people who like blue-coloured cars is 50%

Number of people who were surveyed=36

Number of people who like blue-colored cars=18

Therefore, Percentage of people who like blue cars= (Number of people who like blue cars/ Number of people who were surveyed)*100

=(18/36)*100

=50%

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Rollaway Skates is cheaper when the number of people is less than or equal to 4. For example, the cost for 2 people at Rollaway Skates is $10, while the cost for 2 people at Wheelie's Skates and Stuff is $106.

Wheelie's Skates and Stuff is cheaper when the number of people is greater than or equal to 5. For example, the cost for 6 people at Rollaway Skates is $30, while the cost for 6 people at Wheelie's Skates and Stuff is $118.

I hope this helps! Do you have any other questions?

Answer:

70°

Step-by-step explanation:

Because line segment OB and OC are both straight lines, then the measure of angle fromed by this two segments is the same in different locations.

Answer:

A.  4

Step-by-step explanation:

Given inequality:

\(x+9 < 4x\)

Rearrange the inequality to isolate x.

Subtract x from both sides of the inequality:

\(\begin{aligned}x+9-x & < 4x-x\\9& < 3x\end{aligned}\)

Divide both sides of the inequality by 3:

\(\begin{aligned}\dfrac{9}{3}& < \dfrac{3x}{3}\\\\3& < x\\\\x& > 3\end{aligned}\)

So the values of x that make the inequality true are:

Therefore, from the given answer options, the value of x that makes the inequality true is x = 4.

To check this, substitute x = 4 into the inequality:

\(\begin{aligned}x+9& < 4x\\x=4\implies 4+9& < 4(4)\\13& < 16\end{aligned}\)

As 13 is less than 16, the inequality is true when x = 4.

The values of tht missing part of the triangle are;

A= 20.9°

a = 13.06

c = 33.6

The sine rule states that if a, b and c are the lengths of the sides of a triangle, and A, B and C are the angles in the triangle; with A opposite a, etc., then a/sinA=b/sinB=c/sinC.

To find side c

sinB/b = sinC/c

sin45.9/26.30 = sin113.2/c

csin 45.9 = 26.30 × sin113.2

0.718c = 23.90

c = 23.90/0.718

c = 33.6

Angle A = 180-(113.2+ 45.9)

angle A = 20.9°

sinA/a = sinB/b

sin20.9/a = 0.718/26.30

0.357 × 26.30 = 0.718a

a = 9.389/0.718

a = 13.06

Therefore A = 20.9°

a = 13.06

c = 33.6

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Answer: - 2/3 but in decimal form it is -0.6 repeating

Step-by-step explanation:

Answer:

It is correct please I do not want yo sound rude can you give me brainliest answer.

Answer:

correct steps

Step-by-step explanation:

if asked to find angles in terms of the ratios, then don't forget to shift sin / cos / tan across the equal sign and change it to arc sin / cos / tan.

Using Pythagorean theorem, the length of the ladder is 10ft

In mathematical terms, if y and z are the lengths of the two shorter sides (also known as the legs) of a right triangle, and x is the length of the hypotenuse, the Pythagorean theorem can be expressed as:

x² = y² + z²

In the questions given, the only one we can use Pythagorean theorem to solve is the one with ladder since it's forms a right-angle triangle.

To calculate the length of the ladder, we can write the formula as;

x² = 8² + 6²

x² = 64 + 36

x² = 100

x = √100

x = 10

The length of the ladder is 10 feet

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Answer:

34

Step-by-step explanation:

Answer:

82

Step-by-step explanation:

1000% sure this is correct

Answer:

1 hour

Step-by-step explanation:

Each graph shown lasts for 1/2 hour / 30 minutes

The probability that a student chosen randomly from the class plays both basketball and baseball is 39%.

What is probability?

The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a proposition to be true. A number between 0 and 1 is the probability of an event, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.

Given:

In a certain Algebra 2 class of 23 students, 11 of them play basketball and 13 of them play baseball.

There are 8 students who play neither sport.

Either (or both) sports = (23 - 8) = 15 students play

Both = [11 basketball and 13 baseball) - 15] = 9 must play both

Probability=9/23

Probability=0.39 or 39%

Hence, the probability that a student chosen randomly from the class plays both basketball and baseball is 39%.

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Answer:

number 2 - x=50, y =69

Step-by-step explanation:

Angles in a polygon of a pentagon add up to 540

so 180 +125+98+98 = 429

540 - 429 = 111

now you do x = 50 so

2 times 50 which is 100

then plus 11 which is 111

Answer:

Step-by-step explanation:

The line which is on the same plane can be parallel, two lines are never parallel when they are in different planes, so option C is correct.

An object having an endless length and no width, depth, or curvature is called a line. Since lines can exist in two, three, or higher-dimensional environments, they are one-dimensional things.

Given:

The given planes are A and B,

A new line, p, is drawn parallel to line l,

Line l in the diagram is located on plane A. Line p must be drawn on plane A in order to be parallel to line l. As a result, line p, which is located on plane B, will be perpendicular to line n and parallel to lines l and n.

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The image of the remaining question is attached below.

The item most likely to weigh 2 kilograms is a roast chicken.

The size, breed, and any other ingredients or stuffing used can all affect the weight of a roast chicken. Weights of roast chickens can range from petite ones weighing less than 1 kilogram to larger ones weighing more than 2 kilograms.

The other things that we have there would either weigh less than 2 Kg such as a tea bag or much more than 2 Kg such as a horse. The egg and the tea a very light and would be less than 2 Kg in weight while the bag and the horse would be above 2 Kg in weight.

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♡ Answer ♡

$78

♡ Step-by-step explanation ♡

  In the problem, it states that the family's meal is $65. At the same time, it is also mentioned that the tip is 20% of the price of their meal. This means that the tip is 20% of $65. In order to figure out the total price with the meal and the tip, we must multiply 20% by $65 in order to get the tip, and add $65 for the price of the meal. The sum will be your answer.

  As stated earlier, the first step to this question is to multiply $65 by 20%. 20% in decimal form is 0.2 0.2*$65 equals $13. So, the family left a $13 tip.

  The other step in finding the overall amount of money the family used is to add $65 to our previous answer. In this case, our previous answer is $13. We must add $65 to $13 in order to find the total price. $65+$13 is $78.

  So, the total (with the meal and the tip) is $78.

  A/N (Author's Note): This answer was plenty of fun to write, though it was slightly rushed! I hope this helps any and all people that use it! Have a stellar day!

Answer:

Step-by-step explanation:

First write down the decimal number divided by 1 like this:

0.607

1

As we have 3 digits after the decimal point in the numerator, we need to multiply both the numerator and denominator by 103 = 1000, so that there is no decimal point in the numerator

0.607 × 1000

1 × 1000

=

607

1000

Therefore, 0.607 as a fraction is 607/1000

Answer:

A foot is 12 inches and 4 is closer to 0 than 12 meaning 13 ft 4 in simplified is 13 ft

Step-by-step explanation:

Answer:

There aren't any graphs that you attached so i can't see which one is a proportional graph, but the one that is going up by a constant proportional rate of change would be the proportional graph.

Proportional relationship graphs always start at the point 0 for x and y. The line always crosses through to origin. 0

Step-by-step explanation:

Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality".

Answer:

THERE are no graphs

Step-by-step explanation:

The unit rate of computers per day using the graph is that 12 computers are made per day.

The unit rate is how many units of quantity correspond to the single unit of another quantity. We say that when the denominator in rate is 1, it is called unit rate. Unit rates is said to be the amount of something in each unit or per unit.

To obtain the unit rate of computers sold per day using the graph, we need to obtain the slope of the graph, which is the change in y per change in x

So, it is given by:

\(\text{Slope} = \dfrac{\text{change in y}}{\text{change in x}}\)

\(\text{Slope} = \dfrac{\text{y}_2-\text{y}_1}{\text{x}_2-\text{x}_1}\)

\(\text{y}_2 = 60 , \ \text{y}_1 = 36 , \ \text{x}_2 = 5, \ \text{x}_1 = 3.\)

\(\text{Slope} = \dfrac{(60 - 36)}{(5 - 3)} = \dfrac{24}{2} = 12\)

\(\bold{Slope = 12}\)

Unit rate = 12 computers per day.

The attachment of the graph is given below.

Therefore, the unit rate of computers per day is 12.

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Answer:

8.12

Step-by-step explanation:

Answer:

A would be correct

Step-by-step explanation:

the answer is A.