How many significant figures does 119.3 have

Answer:

  (a)  twenty-eight ninths, square root of nineteen, cube root of eighty-eight

Step-by-step explanation:

When ordering a list of numbers by hand, it is convenient to convert them to the same form. Decimal equivalents are easily found using a calculator.

The attachment shows the ordering, least to greatest, to be ...

  \(\dfrac{28}{9}.\ \sqrt{19},\ \sqrt[3]{88}\)

__

Additional comment

We know that √19 > √16 = 4, and ∛88 > ∛64 = 4, so the fraction 28/9 will be the smallest. That leaves us to compare √19 and ∛88, both of which are near the same value between 4 and 5.

One way to do the comparison is to convert these to values that need to have the same root:

  √19 = 19^(1/2) = 19^(3/6) = sixthroot(19³)

  ∛88 = 88^(1/3) = 88^(2/6) = sixthroot(88²)

The roots will have the same ordering as 19³ and 88².

Of course, these values can be found easily using a calculator, as can the original roots. By hand, we might compute them as ...

  19³ = (20 -1)³ = 20³ -3(20²) +3(20) -1 = 8000 -1200 +60 -1 = 6859

  88² = (90 -2)² = 90² -2(2)(90) +2² = 8100 -360 +4 = 7744

Then the ordering is ...

  28/9 < 19³ < 88²   ⇒   28/9 < √19 < ∛88

Answer:

the ordering is

28/9 < 19³ < 88²   ⇒   28/9 < √19 < ∛88

Step-by-step explanation:

Navern's manufacturing cycle efficiency (MCE) for its elevators is: 41.4%

The formula for obtaining the manufacturing cycle efficiency is value-added time divided by the production cycle time * 100. In the data given, the process and inspection times qualify as a value-added time

Process time = 23 days

Inspection time = 13 days

Value added time = 23 + 13 = 36days

The production cycle time = Move time + process time + queue time + inspection time + wait time

= 22 + 12 + 23 + 13 + 17 days

= 87 days

So, the manufacturing efficiency time = 36/87 * 100

= 41.4%

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Answer:

Step-by-step explanation:

-12 = 4(-6 + f)

-12 = (-6 * 4 + f * 4)

-12 = (-24 + 4f)

-12 = -24 + 4f

Solving for variable 'f'.

Move all terms containing f to the left, all other terms to the right.

Add '-4f' to each side of the equation.

-12 + -4f = -24 + 4f + -4f

Combine like terms: 4f + -4f = 0

-12 + -4f = -24 + 0

-12 + -4f = -24

Add '12' to each side of the equation.

-12 + 12 + -4f = -24 + 12

Combine like terms: -12 + 12 = 0

0 + -4f = -24 + 12

-4f = -24 + 12

Combine like terms: -24 + 12 = -12

-4f = -12

Divide each side by '-4'.

f = 3

Simplifying

f = 3

Hope helps you

Answer
6 rides.

Step-by-step explanation:

If Chester has $25 dollars and the entrance fee is $5 dollars we now have $20 dollars, if each ride is $3 dollars he can spend 18 of that $20 which is 6 rides.

Hope this helps!

Domain: {10, 12, -8, 6}

Range: {-3, 3, -7, -1}

There is one value of y for every value of x.

This relation is a function.

Answer:

x = 65.26 degrees or x = 245.26 degrees.

Step-by-step explanation:

To solve the equation 4tan(x)-7=0 for 0<=x<360, we can first isolate the tangent term by adding 7 to both sides:

4tan(x) = 7

Then, we can divide both sides by 4 to get:

tan(x) = 7/4

Now, we need to find the values of x that satisfy this equation. We can use the inverse tangent function (also known as arctan or tan^-1) to do this. Taking the inverse tangent of both sides, we get:

x = tan^-1(7/4)

Using a calculator or a table of trigonometric values, we can find the value of arctan(7/4) to be approximately 65.26 degrees (remember to use the appropriate units, either degrees or radians).

However, we need to be careful here, because the tangent function has a period of 180 degrees (or pi radians), which means that it repeats every 180 degrees. Therefore, there are actually two solutions to this equation in the given domain of 0<=x<360: one in the first quadrant (0 to 90 degrees) and one in the third quadrant (180 to 270 degrees).

To find the solution in the first quadrant, we can simply use the value we just calculated:

x = 65.26 degrees (rounded to two decimal places)

To find the solution in the third quadrant, we can add 180 degrees to the first quadrant solution:

x = 65.26 + 180 = 245.26 degrees (rounded to two decimal places)

So the solutions to the equation 4tan(x)-7=0 for 0<=x<360 are:

x = 65.26 degrees or x = 245.26 degrees.

Using Trigonometry, the value of x in the right triangle is 17.1

Since we have a right angle triangle ; The angle L can be obtained thus ;

L = 180 - (90+67)

L = 23

Using Trigonometry:

Sin23° = opposite/ hypotenuse

Opposite= 6.7

hypotenuse= x

Sin23° = 6.7/x

x = 6.7/sin(23°)

x = 17.14

Therefore, the value of x to the nearest tenth is 17.1

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Answer:

Line n bisects segment XY

The length of segment XY = 6

Step-by-step explanation:

Line n is the segment bisector of segment XY

A bisector is to divide into two equal parts, so;

5x + 8 = 9x + 12

4x = -4

x = -1

Total segment = 5x + 8 + 9x + 12

plug in -1 for x;

-5 + 8 + -9 + 12

XY = 3 + 3

XY = 6

Answer:

the answer i came up with for the first question the answer is C

for the second question, i go 11.4

Step-by-step explanation:

how i got 11.4 add all like valuables

12+8=20

9x+5x=14x

then divide to get x alone to get 11.4

The value of 4 Superscript negative 4 is negative StartFraction 1 Over 4 Superscript negative 4 EndFraction.

In the given table, Tasha observed a pattern in the powers of 4. When the exponent decreases by 1, the previous value is divided by 4. Using this pattern, she determined the values for 4 squared, 4 Superscript 1, 4 Superscript 0, 4 Superscript negative 1, and 4 Superscript negative 2.

To find the value of 4 Superscript negative 3, she divided the previous value (StartFraction 1 Over 16 EndFraction) by 4, resulting in StartFraction 1 Over 64 EndFraction.

Similarly, for 4 Superscript negative 4, she divided the previous value (StartFraction 1 Over 64 EndFraction) by 4, yielding StartFraction 1 Over 256 EndFraction.

Finally, to rewrite the value for 4 Superscript negative 4, she expressed it as negative StartFraction 1 Over 4 Superscript negative 4 EndFraction.

Therefore, the value of 4 Superscript negative 4 is negative StartFraction 1 Over 4 Superscript negative 4 EndFraction, which simplifies to StartFraction 1 Over 256 EndFraction

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Answer:

3 18/19

Step-by-step explanation:

7 1/2 ÷ 1 9/10 =

= 15/2 × 10/19

= 150/38

= 75/19

= 3 18/19

Answer:

Step-by-step explanation: Yes, they can match in 2, 5, and/or 10 equal rows. This is because the number of items in the set can be divided evenly by 2, 5, and 10. For example, if there are 20 items in the set, it can be divided into 2 rows of 10, 5 rows of 4, or 10 rows of 2.

About 80 necklaces have more than 28 beads. Then the correct option is C.

The Gaussian Distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.

The numbers of beads on 500 handcrafted bead necklaces follow a normal distribution whose mean is 24 beads and the standard deviation is 4 beads.

P(x > 28) = P(x - 24 / 4 > 28 - 24 / 4)

P(x > 28) = P(x - 24 / 4 > 1)

P(x > 28) = 1 - ∅1

P(x > 28) = 1 - 0.8413

P(x > 28) = 0.1587

Multiply both sides by 500, then we have

500 P(x > 28) = 0.1587 × 500

500 P(x > 28) = 79.35

500 P(x > 28) ≈ 80

About 80 necklaces have more than 28 beads. Then the correct option is C.

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The missing options are given below.

A. About 24 devices have more than 28 beads.

B. About 48 necklaces have more than 28 beads.

C. About 80 necklaces have more than 28 beads.

D. About 96 necklaces have more than 28 beads.

The total number of students is 55.

That means the total at the bottom of the "Total" column is 55. This means if you have a total of 25 boys, the "Boys" column should have, 15 and 10 (which totals 25).

The row for girls has 25 in row 2, this means Row 2 for boys and girls should have 25 and 10, and that means the second row under "Total" is 35.

Also, row 1 for "Girls" should be 5, since the total in row 1 is 20 and boys in row 1 is 15. Therefore, total for "Girls" should be 5 and 25, which is 30.

Therefore, the missing numbers are;

GIRLS

5

25

30

BOYS

15

10

25

TOTAL

20

35

55

Answer:

min: 56

lower quartile: 70

median: 74

upper quartile: 80

max: 86

The 99% confidence interval for the population proportion p is (0.776, 0.824).

To find the 99% confidence interval for a proportion, we can use the formula:

CI = p^ ± z*(SE)

where p^ is the sample proportion, SE is the standard error, and z is the critical value from the standard normal distribution corresponding to the level of confidence.

For a 99% confidence interval, the critical value z is 2.576.

Substituting the given values into the formula, we have:

CI = 0.80 ± 2.576*(0.03/√200)

Simplifying this expression, we have:

CI = 0.80 ± 0.024

This means that we are 99% confident that the true population proportion falls between 0.776 and 0.824. We can interpret this interval as a range of plausible values for the population proportion, based on the sample data.

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Answer:C

Step-by-step explanation:

A.Is correct since 40 plus 8.032 is 48.031 (Check Your selves)

B.Is correct since 48 ones = 48 and 31 thousandths =0.31

C.Is Wrong since 48(Well is correct )plus 0.31 not 0.031,not 31 thousandths.

D.Correct since 40 plus 8=48 and 0.03+0.0001 is 0.031.

Hope this helped!

If you are reading this hope you have a wonderful day and may your dreams come true!

Tell me if its wrong

lfu29

It's C. 48+0.31. because it's not the same

Answer:

3800 tickets

Step-by-step explanation:

we are given that,

total people seated:266

yet to come:93%

so the percentage of people who have arrived is 100%-93%=7%

and one ticket for each people

therefore,

\( \displaystyle \begin{array}{ccc} \displaystyle \rm7\% \quad \text{People} \implies266 \: \text{tickets} \\ \displaystyle100 \%\: \quad \imath \imath \implies \frac{266}{7\%} \: \: \: \: \imath \imath \\ \\ \qquad \displaystyle \qquad\rm as \: \% = \frac{1}{100} \longleftarrow \frac{266}{ \dfrac{7}{100} } \\ \\ \displaystyle \rm \: by \: simplifying \: complex \: fraction\longleftarrow 266 \times \frac{100}{7} \\ \rm reduce \: fraction \longleftarrow 38 \times 100 \\ \rm simplify \:multiplication \longleftarrow3800\end{array}\)

hence,

3800 tickets were sold for the movie

Answer:

Solutions given:

[100%-97%]=266people

7% =266people

Each people is 1 ticket.

266 people =266tickets

so

7% of people=266ticket

100% of people =266/7×100=3800tickets

3800tickets were sold for the movie

Given:

Salary per week = $300

Commision = 5% of sales = 0.05 of sales

Let's find the following.

• a) Let's find how much Kayla would make in a week if she made $1075 in sales.

We have the expression:

300 + 0.05(1075)

= 300 + 53.75

= 353.75

Therefore, if Kayla made $1075 in sales, she would make $353.75 weekly

• b) Let's find how much Kayla would make in a week if she made x dollars in sale.

We have the expression:

300 + 0.05x

ANSWER:

a) $353.75

b) $(300 + 0.05x)

The width of the field is 230 feet and the length is 310 feet.

Let's denote the width of the field as "x" feet.

The length of the field is 80 feet longer than the width, so it can be represented as "x + 80" feet.

To find the total amount of fencing material needed, we sum up the lengths of all four sides of the rectangular field:

2(length) + 2(width) = perimeter

Substituting the given values:

2(x + 80) + 2(x) = 1080

2x + 160 + 2x = 1080

4x + 160 = 1080

4x = 920

x = 920/4

x = 230

Therefore, the width of the field is 230 feet.

Now we can find the length by adding 80 feet to the width:

Length = Width + 80 = 230 + 80 = 310 feet.

So, the width of the field is 230 feet and the length is 310 feet.

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Answer:

Part A: From the table, it is clear that as the number of workers increases, the number of units produced also increases. This indicates a positive correlation between the number of workers and the number of units produced. As the number of workers increases by 10, the number of units produced also increases by 50. This pattern is consistent throughout the data, which supports the conclusion that there is a positive correlation between the number of workers and the number of units produced.

Part B: A function that best fits the data is y = 5x + 2, where y is the number of units produced and x is the number of workers. This function can be determined by using the slope-intercept form of a linear equation (y = mx + b) and substituting the values for the slope and y-intercept from the data. The slope (m) of the function is 5 and the y-intercept (b) is 2.

Part C: The slope of the plot (5) represents the rate of change in the number of units produced for every 1 unit change in the number of workers. In this case, for every 1 additional worker, the number of units produced increases by 5. The y-intercept (2) represents the point at which the line intercepts the y-axis when x = 0. In this case, when there are no workers, 2 units are produced.

Answer:

15

Step-by-step explanation:

The ratio of trucks to cars is 6x/10. And in the problem it says that there are 25 cars. So, 10x = 25, x = 5/2. Then, 6x = 15

Answer:

21°

Step-by-step explanation:

In an sosceles trapezoid, the lower base and upper base angles are congurent

⇒ ∠HGF = ∠EFG

⇒ 9y + 3 = 8y + 5

⇒ 9y - 8y = 5 - 3

⇒ y = 2

⇒ ∠HGF = 9(2) + 3

= 18 + 3

= 21

The measure of angle HGF in the given isosceles trapezoid EFGH is calculated to be 21 degrees.

This problem deals with the properties of an isosceles trapezoid, which is a type of quadrilateral. In an isosceles trapezoid, opposite angles are equal. In this case, angle EFG and angle HGF would be equal to each other given the shape is an isosceles trapezoid. So, their measures should be equal.

Here, the measure of angle HGF is given as (9y + 3)°, and the measure of angle EFG is (8y + 5)°. Setting these equal to each other to find the value of y, we get 9y + 3 = 8y + 5. By simplifying, we get the value of y is 2. Substituting the found value of y in angle HGF we get, 9*2+3 = 21 degrees.

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Answer:

Step-by-step explanation:

\(2x - 10^o + 2x + 30^o + x + 10^o + 50^o = 180^o \\\ 5x + 80^o = 180^o \\\ 5x = 180^o - 80^o \\\ 5x = 100^o \\\ x = \frac{100^o}{5} \\\\ x = 20°\)

I hope I've helped you.

Explanation:-

From the given figure :

∠AOB = 50°

∠BOC = x+10°

∠COD = 2x+30°

∠DOE = 2x-10°

We know that

The sum of the angles lie on the same line = 180°

⇛ ∠AOB + ∠BOC + ∠COD + ∠DOE = 180°

⇛ 50°+x+10°+2x+30°+2x-10° = 180°

⇛ 5x+80° = 180°

⇛ 5x = 180°-80°

⇛ 5x = 100°

⇛ x = 100°/5

⇛ x = 20°

∴ x = 20°

Now,

The measure of ∠BOC = x+10°

= 20°+10°

= 30°

The measure of ∠COD = 2x+30°

= 2(20°)+30°

= 40°+30°

= 70°

The measure of ∠DOE = 2x-10°

=2(20°)-10°

= 40°-10°

= 30°

Answer:-

The measure of ∠BOC = 30°

The measure of ∠COD = 70°

The measure of ∠DOE = 30°

Remember:-The sum of the angles lie on the same line is 180°

9514 1404 393

Answer:

Step-by-step explanation:

For higher-degree polynomials I find it extremely useful to use a graphing calculator to find the zeros.

The usual approaches are ...

__

1. Rational roots will be factors of 10, so ±1, ±2, ±5, or ±10. The signs are all positive, so there are no positive real roots. The sum of odd-degree coefficients is the same as the sum of even-degree coefficients, so -1 is one of the roots. Removing that using synthetic division gives you ...

   f(x) = (x +1)(x^2 +11 +10)

The quadratic (more or less obviously) factors as (x+1)(x+10), so the complete factorization is ...

  f(x) = (x +1)^2(x +10)

and the zeros are {-10, -1, -1}.

__

2. Rational roots will be factors of 18, so will be ±1, ±2, ±3, ±6, ±9, ±18. The sum of coefficients is 0, so x=1 is a root. The rule of signs tells you that there are 2 positive real roots, so there is one more positive real root. Synthetic division tells you the factoring so far is ...

  f(x) = (x -1)(x^3 +2x^2 -9x -18)

We note that the first two coefficients have the same ratio as the last two, so we can factor by grouping.

  x^3 +2x^2 -9x -18 = x^2(x +2) -9(x +2) = (x^2 -9)(x +2)

Factoring the difference of squares gives you the complete factorization, hence all of the roots. (The zeros are the values of x that make the factors zero.)

  f(x) = (x -1)(x +2)(x -3)(x +3)

The zeros are {-3, -2, 1, 3}.

Answer:

\(\frac{5a^2b^2}{4}\)

Step-by-step explanation:

Answer:

hope this helps

Step-by-step explanation:

To determine its end behavior, look at the leading term of the polynomial function. Because the power of the leading term is the highest, that term will grow significantly faster than the other terms as x gets very large or very small, so its behavior will dominate the graph

Answer:

The company charged $500 for its services,and Mia gives the movers a 16% tip. Now, we can add the tip amount to the cost of the service to find the total amount Mia paid: Total amount = Cost of service + Tip amount = $500 + $80 = $580

Step-by-step explanation: