Round 1.0835 to the nearest hundredth

Answer:

Step-by-step explanation:

Probability of P.B.J. : milk : cookie being picked is; 1:12

Twelve possible combos one is P.B.J. : milk : cookie

Answer:

Step-by-step explanation:

50 - 5 - 18 = 27

27 ÷ 3 = 9

x = 9

Answer:

i think its 12.25

Step-by-step explanation:

when i did it i got 49/4 an as a whole number it is 12 so uhhh

Answer:

12.25

Step-by-step explanation:

\( {3.5}^{7 - 6} }^{2} \)

3.5^2

12.25

To get more than a dollar, Bob needs to earn at least 110 cents. Bob already has 20 cents. He needs to get 9 right to earn over a dollar.

If Bob gets 9 right, Bob would earn 90 cents more. 90 + 20 = 110 cents = $1.1

Algebraic Expression: An algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operations (addition, subtraction, etc.). Expressions are made up of terms

Bob correctly answered 12 questions, so

Bob mis-answered 20 questions.

Let x be the number of questions that he correctly answered.

Let y be the number of questions that he answered incorrectly.

Bob's mother promised to give him 10 cents for each accurate response. This implies that he would receive $10x for correctly answering x questions.

Bob's mother informed him that she would deduct $5 for each incorrect response. This implies that if he answers y questions incorrectly, Bob will forfeit.

- $5y.

Bob completed 32 problems, which indicates that

x + y = 32

After solving 32 tasks, Bob received 20 cents, which indicates that

10x - 5y = 20 - - - - - - - - -1

When x = 32 - y is substituted into equation 1, it produces

10(32 - y) - 5y = 20

320 - 10y - 5y = 20

- 10y - 5y = 20 - 320

- 15y = - 300

y = - 300/ -15 = 20

Substituting y = 20 into x = 32 - y, it becomes.

x = 32 - 20 = 12

To get more than a dollar, Bob needs to earn at least 110 cents. Bob already has 20 cents. He needs to get 9 right to earn over a dollar.

If Bob gets 9 right, Bob would earn 90 cents more. 90 + 20 = 110 cents = $1.1

to learn more about Algebraic Expressions visit:

brainly.com/question/28884894

#SPJ1

Answer:x=y-bm

Step-by-step explanation:

Answer:

x = y-b/m

Step-by-step explanation:

Step 1:  y = mx + b

Step 2: Bring b to the left side of the equation

Step 3: y - b = mx

Step 4: To isolate for x, we must get rid of m. Therefore, divide m on both sides of the equation

Step 5: y-b/m = mx/m

Step 6: On the right side of the equation, m and m crosses out.

Step 7: All we have left is: y-b/m = x

(Or you can write it as x = y-b/m)

Hope this helps.

Answer:

111.6 cm

Step-by-step explanation:

The area of a triangle can be calculated using the following formula:

Area = (base x height) / 2

Using this formula we can solve this problem in the following way:

Hope this helps!!

Answer:

answer 111.6 cm^2.......

Answer:

$1.60

Step-by-step explanation:

jdhhrhehehhehehthhrhhrhrhhhhjjjjhjjjjjjjjjjjjjjjjjjjjjjjjjjjh

The 90 % confidence interval is ( 19.92 , 20.18 )

A confidence interval is defined as the range of values that we observe in our sample and for which we expect to find the value that accurately reflects the population.

The relationship between a value and the mean of a set of values is expressed numerically by a Z-score. The Z-score is computed using the standard deviations from the mean. A Z-score of zero indicates that the data point's score and the mean score are identical.

The Z-score is calculated using the formula:

z = (x - μ)/σ

where z: standard score

x: observed value

μ: mean of the sample

σ: standard deviation of the sample

Given data ,

Let the number of samples n = 15

Let the mean of the sample be μ = 20.05

Let the standard deviation σ = 0.3

Now , the z score of 90 % confidence interval is z = 1.645

The 90% confidence interval is calculated by the equation

A = μ ± z ( σ / √n )

Substituting the values in the equation , we get

P = μ + z ( σ / √n )

Q = μ - z ( σ / √n )

Now , the value of P is

P = 20.05 + 1.645 ( 0.3/√15 )

P = 20.05 + ( 0.4935 / 3.873 )

P = 20.05 + 0.12742

P = 20.18

Now , the value of Q is

Q = μ - z ( σ / √n )

Q = 20.05 - 1.645 ( 0.3/√15 )

Q = 20.05 - ( 0.4935 / 3.873 )

Q = 20.05 - 0.12742

Q = 19.92

Learn more about confidence interval here :-

https://brainly.com/question/29680703

#SPJ4

The option that correctly ranks the three boys in order from lowest to highest average speed is:

The average speed calculated is obtained by dividing the total distance covered by the total time taken. That said, we will obtain the average speeds for each of the boys as follows:

Terri = 3.95 km/48 min

= 0.082 km/min

Aaron = 2.65 km/31 min

= 0.085 km/min

Jamal = 6.50 km/81 min

= 0.080 km/min

When the results are obtained from lovwest to highest we will have:

0.080, 0.082, 0.085 which represent the figures for Jamal, Terri, Aaron.

Complete Question:

Terri, Aaron, and Jamal all walked along straight paths. Terri walked 3.95 km north in 48 min. Aaron walked 2.65 km west in 31 min. Jamal walked 6.50 km south in 81 min. Which of the following correctly ranks the three boys in order from lowest to highest average speed?

Learn more about average speed here:

https://brainly.com/question/4931057

#SPJ4

Applying the angle of intersecting secants theorem, the measure of arc JML is: 262°.

The angle of intersecting secants theorem states that when two lines form an external angle outside a circle, the measure of the angle is half the difference between the measure of the major and minor intercepted arcs.

Thus:

m∠JKL = (measure of arc JML - measure of arc JL)/2 => angle of intersecting secants theorem

m∠JKL  = 8x - 6

measure of arc JML = 25x - 13

measure of arc JL = 360 - (25x - 13)

Plug in the values

8x - 6 = [(25x - 13) - (360 - (25x - 13))/2]

Solve for x

2(8x - 6) = [(25x - 13) - (360 - 25x + 13)]

16x - 12 = [(25x - 13) - (373 - 25x)]

16x - 12 = 25x - 13 - 373 + 25x

16x - 12 = 50x - 386

16x - 50x = 12 - 386

-34x = -374

x = 11

Measure of arc JML = 25x - 13

Plug in the value of x

Measure of arc JML = 25(11) - 13 = 262°

Learn more about angle of intersecting secants theorem on:

https://brainly.com/question/1626547

Answer:

A. 160

B. 960

Step-by-step explanation:

The interest earned after 5 years is the balance - the initial balance: 160

The balance is 800 * (1 + .04*5): 960

Answer:

3) A     4) D

Step-by-step explanation:

Answer:

3) Undefined 4) positive 5

Step-by-step explanation:

3) The line is a straight horizontal line, a straight line has no slope because the line is unchanging throughout.

4) I see you answered this, however you were incorrect and I see why, easy mistake to make. So the question is asking slope of the line not the equation. The line has an upwards slope, so the slope is positive. Also, your rise over run is going to the right so its positive. If it was asking for equation, your y -intercept would be negative so that have been what you were thinking, however for your slope, where the line is placed on the graph doesnt matter.Hope this helped!

Step-by-step explanation:

Answer:

The number that doesn't belong in the series is going to be 8.

8 doesn't fit in the numerical pattern; therefore, fails to justify it's unnecessary existence in the series.

Step-by-step explanation:

Answer:

\( \frac{ - 9}{21} \)

then simplify

Step-by-step explanation:

Slope =

\( \frac{y2 - y1}{x2 - x1} \)

Rise

(-2)-(7)=-9

Run

\(8 - ( - 13) = 21\)

Answer: 3/-7

Step-by-step explanation:

y2-y1 over x2-x1 is slope. your parenthesis go in the order of (x,y)

8=x1 -2=y1 -13=x2 7=y2

7 - -2 = 9

-13 - 8 = -21

9/-21

simplify to get 3/-7

Answer:

Center: (0, 0)

Vertices: (0, 6), (0, -6)

Foci:  (0, 3√5), (0, -3√5)

Asymptotes: y = 2x, y = -2x

Step-by-step explanation:

Answer:

Show that if \(f(a) = f(b) = 0\) for some \(a,\, b \in [-2,\, 2]\) where \(a \ne b\), then by Rolle's Theorem \(f^{\prime}(x) = 0\) for some \(x \in (-2,\, 2)\). However, no such \(x\) exists since \(f^{\prime}(x) < 0\) for all \(x \in (-2,\, 2)\!\).

Note that Rolle's Theorem alone does not give the exact value of the root. Neither does this theorem guarantee that a root exists in this interval.

Step-by-step explanation:

The function \(f(x) = x^{3} - 12\, x + 11\) is continuous and differentiable over \([-2,\, 2]\). By Rolle's Theorem. if \(f(a) = f(b)\) for some \(a,\, b \in [2,\, -2]\) where \(a \ne b\), then there would exist \(x \in (a,\, b)\) such that \(f^{\prime}(x) = 0\).

Assume by contradiction \(f(x)\) does have more than one roots over \([-2,\, 2]\). Let \(a\) and \(b\) be (two of the) roots, such that \(a \ne b\). Notice that \(f(a) = 0 = f(b)\) just as Rolle's Theorem requires. Thus- by Rolle's Theorem- there would exist \(x \in (a,\, b)\) such that \(f^{\prime}(x) = 0\).

However, no such \(x \in (a,\, b)\) could exist. Notice that \(f^{\prime}(x) = 3\, x^{2} - 12\), which is a parabola opening upwards. The only zeros of \(f^{\prime}(x)\) are \(x = (-2)\) and \(x = 2\).

However, neither \(x = (-2)\) nor \(x = 2\) are included in the open interval \((-2,\, 2)\). Additionally, \(a,\, b \in [-2,\, 2]\), meaning that \((a,\, b)\) is a subset of the open interval \((-2,\, 2)\). Thus, neither zero would be in the subset \((a,\, b)\). In other words, there is no \(x \in (a,\, b)\) such that \(f^{\prime}(x) = 0\). Contradiction.

Hence, \(f(x) = x^{3} - 12\, x + 11\) has at most one root over the interval \([-2,\, 2]\).

The addition of the polynomial \(x^{3}+3xy-2xy^{2} +y^{3}\) with \(2x^{3}-5x^{2} y-3xy^{2}-2y^{3}\) is  \(3x^{3}+3xy-5x^{2} y-5xy^{2}-y^{3}\).

What is a polynomial?

⇒ A polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.

⇒ In the addition of polynomials, the like terms are added while in subtraction, the like terms are subtracted.

Calculation;

We have been given two polynomial which we have to add   \(x^{3}+3xy-2xy^{2} +y^{3}\) and \(2x^{3}-5x^{2} y-3xy^{2}-2y^{3}\)

The sign after addition or subtraction will always be of the variable having more value.

\((x^{3}+3xy-2xy^{2} +y^{3} )+(2x^{3}-5x^{2} y-3xy^{2}-2y^{3})\)

On adding like terms with each other

⇒ \((x^{3} +2x^{3})+ 3xy-5x^{2} y-(2xy^{2}+3xy^{2})+(y^{3}-2x^{3})\)

⇒ \(3x^{3}+3xy-5x^{2} y-5xy^{2}-y^{3}\)

Hence the addition of the polynomial\(x^{3}+3xy-2xy^{2} +y^{3}\) and \(2x^{3}-5x^{2} y-3xy^{2}-2y^{3}\) is \(3x^{3}+3xy-5x^{2} y-5xy^{2}-y^{3}\).

Learn more about polynomial here :

brainly.com/question/1487158

#SPJ9

0.10 > 0.05 is value of p - value of the data .

What does P stand for?

If we use 10% p - value cutoff = 0.10

then as 0.10 > 0.05

reject the null / data is consistent with the alternative hypothesis .

Learn more about P value

brainly.com/question/14790912

#SPJ4

Answer:

50

Step-by-step explanation:

Answer:

The approximate between the swing and slide is 56.21 feet.

Step-by-step explanation:

Answer:

Let "b" be the total bill before the tip.

The tip was 18% of the bill, or 0.18 * b.

The tip was also $4.50, so we can set up the equation 0.18b = $4.50.

Solving for b, we get:

0.18b = $4.50

b = $4.50 / 0.18

b = $25

Therefore, Sierra's total bill before the tip was $25.

Por lo tanto, el ciclomotor tardaría 6 horas en recorrer la misma distancia que el automóvil que tarda 3 horas a una velocidad de 90 km/h. ¡Espero que esto te ayude!

Para calcular el tiempo que tarda un ciclomotor a una velocidad de 45 km/h en realizar el mismo trayecto que un automóvil que circula a 90 km/h y tarda 3 horas en llegar a su destino, necesitamos utilizar la fórmula de la velocidad media.
La velocidad media se calcula dividiendo la distancia recorrida por el tiempo que tarda en recorrerla.

Sabemos que el automóvil tarda 3 horas en llegar a su destino y circula a una velocidad de 90 km/h.

Por lo tanto, podemos calcular la distancia que recorre utilizando la fórmula de la distancia:
Distancia = Velocidad x Tiempo
Distancia = 90 km/h x 3 h
Distancia = 270 km
Ahora que sabemos que el automóvil recorre una distancia de 270 km, podemos calcular el tiempo que tardaría el ciclomotor en recorrer la misma distancia a una velocidad de 45 km/h utilizando la fórmula de la velocidad media:
Velocidad media = Distancia / Tiempo
Tiempo = Distancia / Velocidad media
Tiempo = 270 km / 45 km/h
Tiempo = 6 horas

For similar questions on Velocided

https://brainly.com/question/31240188

#SPJ11

Part (a)

This sequence is arithmetic because we are adding 4 to each term to get the next term. Nice work on getting the correct answer here.

To get the nth term of an arithmetic sequence, we'll use the formula below

an = a + d(n-1)

In this case, a = 14 is the first term and d = 4 is the common difference

So we have these steps

an = a + d(n-1)

an = 14 + 4(n-1)

an = 14 + 4n - 4

an = 4n + 10

Answer: 4n + 10

============================================

Part (b)

This sequence is geometric since we multiply each term by 4

The common ratio is r = 4 and the start term is a = 2.

So the nth term is....

an = a*(r)^(n-1)

an = 2*(4)^(n-1)

Answer: 2*(4)^(n-1)

Steps

First, convert your number into an improper fraction

10 * 3 = 30

Then add.

31/3 is your answer.

Answer:

31/3

Step-by-step explanation:

A mixed number is an addition of its whole and fractional parts. To write 10 as a fraction with a common denominator, multiply by 3/3. combine 10 and 3/3,Combine the numerators over the common denominator. Simplify the numerator. Multiply 10 by 3, 30+1/3 add 30 and 1 31/3

From the problem, we have :

The nature of the roots depends on the value of b^2 - 4ac.

If the result is greater than or equal to 0, the roots are rational.

If the result is less than 0, the roots are irrational.

From the equation, we have :

a = 6, b = -8 and c = -8

Since the result is greater than 0, the roots are rational.

The rule that show the relationship between the input (x) and the output (y) is y = 4x - 2

An equation is an expression that shows the relationship between two or more numbers and variables.

Independent variables represent function inputs that do not depend on other values, while dependent variables represent function outputs that depends on other values.

Let x represent the input and y represent the output, hence using the point (8, 30) and (10, 38):

y - 30 = [(38 - 30)/(10 - 8)](x - 8)

y = 4x - 2

The rule that show the relationship between the input (x) and the output (y) is y = 4x - 2

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

Expressions is equivalent to -m²-7m+21.

Expressions that perform similarly but differ in appearance are said to be equivalent expressions. When the same value for the variable is entered, two algebraic expressions that are equivalent will have the same result.

When reduced to their most basic form, two or more ratios are said to be similar if their values are the same. Equivalent ratios include 1:2, 2:4, and 4:8. In their simplest form, all three ratios have the same value of 1:2.

Since both expressions' values are constant for all values of x, the equivalent expressions 3(x + 2) and 3x + 6 are also identical expressions. 3x + 6 = 3 × 4 + 6 = 18.          

To learn more about Expressions refer to:

https://brainly.com/question/723406

#SPJ1

The series to 10 term is

1 + 2 + 4 + 8 + 16 + 32 + 64 + 128 + 256 + 512

An equation that represents a sequence based on a rule is called a recurrence relation.

Finding the following term, which is dependent upon the prior phrase, is made easier (previous term). We can readily predict the following term in a series if we know the preceding term.

The term is predicted by multiplying the preceding term by 2

Learn more about recurrence relation

https://brainly.com/question/4082048

#SPJ1