Solve:
b. m∠1=
m∠2=
m∠3=

Answer:

Ximena can use 1 gigabytes of data

Step-by-step explanation:

The first thing you want to do is subtract

51.10 - 44.50 =  5.6

5.6 is the amount of money she will have to spend on data

With each gigabyte costing 4 dollars and only 5 dollars to spend

she can only use one gigabyte

Answer:

See below!

Step-by-step explanation:

254, 202, 284, 269, 151, 258, 202

Mean of the data:

\(\displaystyle Mean= \frac{Sum \ of \ data}{number \ of \ data} \\\\Mean = \frac{254+202+284+269+151+258+202}{7} \\\\Mean=\frac{1620}{7} \\\\\boxed{Mean = 231.4}\)

Median of data:

Arrange the data in increasing order.

151, 202, 202, 254, 258, 269, 284

The middle value = 254

So,

Mode in data:

The mode, here, is 202. (occurring 2 times.)

So,

\(\rule[225]{225}{2}\)

The value of angle x is 133 degree

And the equation of line be of the form,

⇒  y - y₁ = 133(x - x₁)

In the given line,

one angle is of 47 degree

And other is x degree

To find the value of x,

Since we know that,

The angle  of line is 180 degree.

Therefore,

⇒ x + 47 = 180

⇒         x = 133 degree

Therefore slope of this line be 133 degree

Now let this line is  passing through (x₁, y₁)

Hence,

The equation of  line be,

⇒ y - y₁ = (slope)(x - x₁)

⇒  y - y₁ = 133(x - x₁)

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Answer:

about 37 times

Large sample significance tests for a single proportion are based on the  statistic binomial. the correct option is A

Significance test can be defined as tests for statistical significance indicate whether observed differences between assessment results occur because of sampling error. Significance tests give a formal process for using sample data to evaluate the likelihood of some claim about a population value.

Therefore a Large sample significance tests for a single proportion are based on the  statistic binomial.

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Answer:

yes

Step-by-step explanation:

12+3=5x-3+3

15=5x

15=5(3)

15=15

Answer: about 20 miles per hour

Step-by-step explanation:

Answer:

he would go about 20 miles per hour

Step-by-step explanation:

Answer

6 is the correct answer.

Step-by-step explanation:

You need to know sin(60) = root(3)/2 = a/(4root(3)), then you can solve for 'a', get a = 6.

Answer:

True. It would need two interior angles of 90 degrees to have parallel lines. However the interior angles must add up to 180 in order for it to be a triangle therefore it is true.

Step-by-step explanation:

A triangle cannot have side that are parallel is True.

The fundamental characteristics listed below make it simple to recognise parallel lines.

No matter how long you make them, parallel lines will never cross one another.

and, A polygon with three sides and three angles is called a triangle.

So, A triangle does not include any parallel lines because of its shape.

Also, We cannot say a triangle is parallel because a side doesn't have an opposite side.

Hence, A triangle cannot have side that are parallel is True.

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Answer:

Step-by-step explanation:

Hence, it costs $87.5 to ship 500 pounds.

Hoped this helped.

\(BrainiacUser1357\)

Answer:

12

Step-by-step explanation:

60(1/2)^30/13 = 12.118996

Answer:

35

Step-by-step explanation:

You can easily graph this in desmos for a visual understanding.

The slope of a line is received by (y2-y1)/(x2-x1). Assuming that Days is X and the cost is Y, we get (160-90)/(4-2), and it makes 70/2, which equates out to 35. Because the prices become more and more expensive, the slope is positive 35.

The ratios that are equivalent to the choices provided are matched as;

1. 40: 60 =  10:15 (Option D)

2. 21:24 =  7:8(Option C)

3. 3:9 = 1: 3 (Option A)

4. 8:20 = 2: 5( option B)

Ratio can be defined as a mathematical comparison of expressions, numbers or variables based on the size difference or relation.

Ratio tells us how many times a particular number or variables contains another.

Also, note that equivalent ratios are those ratios whose solution gives the same value but is represented in a different way.

From the information given, we have the ratios;

40: 60

This is represented as;

10:15 when divided by 4 each

21: 24 when divided by 3 each gives;

7: 8

3: 9 when divided by 3 each gives

1: 3

8: 20 when divided by 4 each gives;

2: 5

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The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes, hence it is the same as a relative frequency.

The total number of periods is given as follows:

5 + 6 + 4 = 15.

The frequency of each class is given as follows:

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Answer:

18

Step-by-step explanation:

Answer:

Step-by-step explanation:

The text is a statistics problem that asks to find the probability of a certain range of values in a normal distribution. A normal distribution is a bell-shaped curve that shows how data values are spread around the mean. The mean is the average of all the data values, and the standard deviation is a measure of how much the data values vary from the mean. To solve this problem, we can use the following steps:

Convert the given range of values to standard scores or z-scores. A z-score tells us how many standard deviations a value is away from the mean. To find the z-score, we use the formula: z=σx−μ​

where x is the value, μ is the mean, and σ is the standard deviation. For example, to find the z-score for 33.5 psi, we plug in the values: z=233.5−35​=−0.75

This means that 33.5 psi is 0.75 standard deviations below the mean. Similarly, to find the z-score for 36 psi, we plug in the values: z=236−35​=0.5

This means that 36 psi is 0.5 standard deviations above the mean.

Use a z-table to find the area under the curve for each z-score. A z-table is a table that shows the probability of getting a z-score less than or equal to a given value. For example, to find the area under the curve for -0.75, we look up the row for -0.7 and the column for 0.05 in the z-table and get 0.2266. This means that there is a 22.66% chance of getting a z-score less than or equal to -0.75. Similarly, to find the area under the curve for 0.5, we look up the row for 0.5 and the column for 0 in the z-table and get 0.6915. This means that there is a 69.15% chance of getting a z-score less than or equal to 0.5.

Subtract the smaller area from the larger area to find the area between the two z-scores. This area represents the probability of getting a value between 33.5 and 36 psi in the normal distribution. For example, to find the area between -0.75 and 0.5, we subtract: 0.6915−0.2266=0.4649

This means that there is a 46.49% chance of getting a value between 33.5 and 36 psi in the normal distribution.

Multiply the area by 100 to convert it to a percentage and write it with the appropriate units: The percentage of tires that are inflated to a pressure between 33.5 and 36 psi is 0.4649×100=46.49%

Answer:

x = 4

x = 3

x = 10

x = 3

x = 16

x = 35

Step-by-step explanation:

\(\frac{x}{5} :\frac{8}{10}\)

x · 10 = 5 · 8

10x = 40

10x ÷ 10 = 40 ÷ 10

x = 4

\(\frac{8}{12} :\frac{2}{x}\)

x · 8 = 12 · 2

8x = 24

8x ÷ 8 = 24 ÷ 8

x = 3

\(\frac{15}{3} :\frac{x}{2}\)

x · 3 = 15 · 2

3x = 30

3x ÷ 3 = 30 ÷ 3

x = 10

\(\frac{x}{6}:\frac{6}{12}\)

x · 12 = 6 · 6

12x = 36

12x ÷ 12 = 36 ÷ 12

x = 3

\(\frac{x}{8} :\frac{4}{2}\)

x · 2 = 8 · 4

2x = 32

2x ÷ 2 = 32 ÷ 2

x = 16

\(\frac{10}{2} :\frac{x}{7}\)

x · 2 = 10 · 7

2x = 70

2x ÷ 2 = 70 ÷ 2

x = 35

The length of the base and height of the triangle as described in the task content are; 6cm and 3cm respectively.

It follows from the task content that the Area of the triangle is; 9 cm².

Since, Area = (1/2)b × h. where h = (b-3).

Therefore we have;

9 = (1/2)b × (b-3)

18 = b² -3b

b² -3b -18 = 0.

On this note, by solving quadratically; we have; b = 6 or b = -3.

The base of the triangle is therefore 6 as it cannot be a negative measure.

Consequently, the height, h = (b-3) = 6-3 = 3.

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Answer:

The answer is 1054ft³

Step-by-step explanation:

Volume of rectangular prism =1/3LWH

V=1/3×31/2×51/3×12

V=1054ft³

Answer:195 miles per hour is approximately 286.67 feet per second.

Step-by-step explanation: To convert miles per hour to feet per second, we need to use the unit fractions you've provided.

Given:

1 mi = 5280 ft

1 hr = 60 min

1 min = 60 sec

We need to convert 195 miles per hour to feet per second.

Start with 195 mi/hr.

Multiply by fractions equivalent to 1, in a way that cancels out the units you don't want and leaves the units you do want.

195 mi/hr * (5280 ft/1 mi) * (1 hr/60 min) * (1 min/60 sec)

The mi units cancel, the hr units cancel, and the min units cancel, leaving ft/sec.

This equals: 195 * 5280/3600 ft/sec

= 286.67 ft/sec

Answer:

  286 ft/s

Step-by-step explanation:

You want to express 195 mi/h in feet per second.

To convert the units, multiply by the fraction that cancels the units you don't want and leaves the units you do want.

  \(195\,\dfrac{\text{mi}}{\text{h}}=\dfrac{195\text{ mi}}{1\text{ h}}\times\dfrac{1\text{ h}}{60\text{ min}}\times\dfrac{1\text{ min}}{60\text{ s}}\times\dfrac{5280\text{ ft}}{1\text{ mi}}=\dfrac{195\times5280\text{ ft}}{60\times60\text{ s}}\\\\=\dfrac{1029600\text{ ft}}{3600\text{ s}}=\boxed{286\text{ ft/s}}\)

__

Additional comment

The exact conversion is as shown above. The conversion factor 5280/3600 reduces to 22/15 ft/s for 1 mi/h.

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The value of y is 4, so the answer is option A: y = 4.

What is trigonometric ratios ?

Trigonometric ratios are mathematical relationships between the angles and sides of a right triangle. There are three primary trigonometric ratios: sine, cosine, and tangent, which are abbreviated as sin, cos, and tan, respectively.

Using the given diagram, we can use the trigonometric ratios to find the value of y.

First, we can find the length of the side opposite the 30-degree angle by using the sine ratio:

sin(30°) = opposite/hypotenuse

sin(30°) = y/8

y/8 = 1/2

y = 8/2

y = 4

Therefore, the value of y is 4, so the answer is option A: y = 4.

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13 - 1/ ( 9 - 8 ) x 5 + 7

First, we have to solve the parenthesis

13-1 /1 x 5 +7

Then we solve the division and multiplication

The value of the expression 18 + 4(28) will be 130.

When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

The expression is given below.

⇒ 18 + 4(28)

Simplify the expression, then the value of the expression will be

⇒ 18 + 4 x (28)

⇒ 18 + 4 x 28

⇒ 18 + 112

⇒ 130

Thus, the value of the expression 18 + 4(28) will be 130.

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Answer:

Let's calculate the total number of blocks Ed has after throwing out the broken ones and adding the two packs of blocks:

Initial number of blocks: 147

Broken blocks: -28

Blocks from cousin: +2 x 48 = 96

Total blocks: 147 - 28 + 96 = 215

So Ed actually has 215 blocks, which is quite a bit less than his estimate of 300. Therefore, his estimate is not very good.

The given question is incomplete as the graph is missing.

But, considering a line graph, the following parameters can be represented on the x-axis and y-axis:

X-Axis                                                     Y-Axis

Year                                                         Population

Time                                                         Number of employees hired

Identical items purchased                      Total cost in dollars    

What does the blank observed line represent in each graph?  

The blank observed line represents the time. A line graph is basically used to connect the quantitative values over the different time intervals. The change in values over time is easier to estimate, by the help of the line graph. For example: in a graph showing the year on the x-axis and the population on the y-axis, the blank line represents the change in population over the years, the increase or decrease or the rate of change.  

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Answer:

15 a^3 b - 35ab^3

taking common

5ab(3a²-7b²)

Answer:

\( \huge \boxed{ \boxed{ \red{3ab(5 {a}^{2} - 7 {b}^{2} )}}}\)

Step-by-step explanation:

and

we are done

Answer:

32 one-dollar bills.

Step-by-step explanation:

Let x represent one-dollar bills and y represent two-dollar bills.

He has a total of 49 bills. Therefore:

\(x+y=49\)

The total amount of money James has is 66. x is worth one dollar, while y is worth two dollars. Therefore:

\(1x+2y=66\\x+2y=66\)

We have a system of equations. Solve by substitution:

\(x+2y=66\\x+y=49\\x=49-y\\(49-y)+2y=66\\y=17\\x=49-17=32\)

Therefore, James has 32 one-dollar bills and 17 two-dollar bills.

Checking:

\(32(1)+17(2)\stackrel{?}{=}66\\32(1)+17(2)\stackrel{\checkmark}{=}66\\\\32+17\stackrel{?}{=}49\\49\stackrel{\checkmark}{=}49\)

9514 1404 393

Answer:

  100

Step-by-step explanation:

The % symbol can be thought of as a shorthand way to write /100. That is, the symbol can be replaced by /100 wherever you see it, and vice versa:

  23% = 23/100

23 is the numerator of the fraction with denominator 100.