Assume that the readings at freezing on a bundle of thermometers are normally distributed with a
mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and
tested. Find the probability of obtaining a reading less than -1.841°C.
P(Z <
-
1.841) =

The conclusion about angles B and C is that the angles are equal angles

How to determine the true statement?

The given parameters are:

Angle A and Angle B are supplements

Angle A and Angle C are supplements

Supplementary angles add up to 180 degrees.

This means that

A + B = 180

A + C = 180

Subtract the two equations

So, we have

A - A + B - C = 180- 180

Evaluate the like terms

So, we have

B - C = 0

Add C to both sides

B = C

Hence, both angles are congruent angles

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Answer:

where is the rest of the question?

Step-by-step explanation:

Answer:

(0.089 ; 0.151)

Step-by-step explanation:

Given :

Sample size, n = 300

Number of defective items, x = 36

The confidence interval required here is that for a one sample proportion :

The confidence interval is defined thus :

Phat ± Zcritical * √[Phat(1 - phat) / n]

Zcritical at 90% = 1.645

Phat = x / n = 36 / 300 = 0.12

Hence,

C.I = 0.12 ± 1.645 * √[0.12(1 - 0.12) / 300]

C.I = 0.12 ± (1.645 * 0.0187616)

C.I = 0.12 ± 0.0308629

C.I = (0.089 ; 0.151)

Answer:

Yes

Step-by-step explanation:

Answer:

Step-by-step explanation:

The magnitude of an earthquake is a measure of the amount of energy released during the earthquake. A stronger magnitude generally means a more powerful earthquake.

Answer:

subtract the new price from the original price

Step-by-step explanation:

To find the percent markdown, first subtract the new price from the original price

154.30-127.92

26.38

Then divide by the original price

26.38/154.30

.170965651

Multiply by 100% to get the percent decrease

17.0965651% decrease

Answer:

The numbers are:

{-1, 0, 1, 2, 3}

Step-by-step explanation:

Note: I am assuming "between" does not include the endpoints.

Given the statement

'Four times a number, increased by one, is between negative seven and seventeen'

Let us break down the word statement into small pieces and then combine them to write it into an algebraic expression.

Let x be the number.

4 times a number = 4x

Increase by 1 = 4x+1

between negative seven and seventeen ⇒   -7 < 4x+1  < 17

Thus, the combined statement can be written in an algebraic expression.

-7 < 4x+1  < 17

solving the inequality expression

\(-7 < 4x+1 < 17\)

Add -1 to all parts

\(-7+-1<4x+1+-1<17+-1\)

\(-8<4x<16\)

Divide all parts by 4

\(\frac{-8}{4}<\frac{4x}{4}<\frac{16}{4}\)

\(-2<x<4\)

Thus, the numbers are:

{-1, 0, 1, 2, 3}

i.e

\(-7<4x+1<17\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-2<x<4\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-2,\:4\right)\end{bmatrix}\)

The graph is also attached below.

Answer:

Step-by-step explanation:

volume of the sphere=4/3 π (4)³=256 /3 π=256/3 ×3.14≈267.95 m³

The input (x) that satisfies the condition of being multiplied by 6 and then Subtracted by 80 to give the same value as the output is 16.

The input as "x." According to the given information, the input (x) is multiplied by 6 and then subtracted by 80, resulting in the output. In mathematical terms, this can be expressed as:

Output = (6 * x) - 80

The problem states that the input and output are the same. Therefore, we can set up the equation:

x = (6 * x) - 80

To solve for x, we'll rearrange the equation and isolate the variable:

x - 6 * x = -80

Combine like terms:

-5 * x = -80

Divide both sides by -5:

x = (-80) / (-5)

Simplifying the division:

x = 16

Hence, the input (x) that satisfies the condition of being multiplied by 6 and then subtracted by 80 to give the same value as the output is 16.

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Answer:

.50r + 2p

Step-by-step explanation:

cost of ruler * number of rules  + cost of pens * number of pens

.50 *r + 2 *p

.50r + 2p

Answer:

B

Step-by-step explanation:

Answer:

Y=KX so its 10=K2

Step-by-step explanation:

Plug in the Number OR K=y/x

Exactly 5/12 of a full rotation is 150, where full rotation is 360.

A "full rotation," "revolution," "whole turn," or "full circle" describes this. It entails spinning around till you are once again pointing in the same direction. a rotational movement. In rotation, there is a fixed central point around which everything else revolves in a circle. 360° is a "Full Rotation." Each point in a figure is transformed into a rotation by rotating it a specific amount of degrees around another point.

Given,

Number = 5/12

Full rotation = 360

5/12 of full rotation

5/12 × 360

5 × 30

150

Exactly 5/12 of a full rotation is 150, where full rotation is 360.

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The required, simplified expression is 2x - 6y(2a - x) + 6y.

To simplify the expression (2x+6yx)-(12ay+-6y), we need to distribute the negative sign to the second term.

2x - 6y(2a - x) + 6y.

Now we can combine like terms, which means adding up any terms that have the same variables raised to the same powers. In this case, we have two terms with "x" and two terms with "y". Combining them, we get:

2x+6yx-12ay+6y = 2x - 12ay + 6yx + 6y
                           = 2x - 6y(2a - x) + 6y

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Answer:

-374

Step-by-step explanation:

Answer:

Step-by-step explanation:

angle on a straight line is 180

angle of 1 = 180 -110

                  =70

Answer:

three heads - 1/8

exactly two tails - 3/8

first two tosses are heads - 1/4

at least two tails - 1/2

Step-by-step explanation:

8 Possible outcomes

hhh, hht, hth, htt, ttt, tth, thh, tht,

three heads - 1/8

exactly two tails - 3/8

first two tosses are heads - 2/8=1/4

at least two tails - 4/8=1/2

Answer:

1. no solution

2. one solution

3. infinitely many solutions

Step-by-step explanation:

1. 4= -3

false

2. -5=6c+7

2=6c

c=3

3. 5a+7=5a+7

true

Answer:

No solution

One solution

Infinite number of solutions

Step-by-step explanation:

Answer:

A≈78.54cm²

Step-by-step explanation:

Solution

A=πr2=π·52≈78.53982cm²

This represents the distance that Mr. Stein drove, given that Mr. Smith drove x miles. The value of x must be between 0 and 140, since Mr. Smith cannot drive more than 140 miles and less than 0 miles.

An algebraic expression is a combination of variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. It can be simplified, evaluated, or manipulated using algebraic rules and properties.

Let x be the number of miles Mr. Smith drove. Then, the number of miles Mr. Stein drove is \(140 - x\)  , since they drove a total of 140 miles and Mr. Smith already drove x miles.

the algebraic expression for how many miles Mr. Stein drove is:

\(140 - x\)

Therefore, This represents the distance that Mr. Stein drove, given that Mr. Smith drove x miles. The value of x must be between 0 and 140, since Mr. Smith cannot drive more than 140 miles and less than 0 miles.

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Answer:

{x,y}={7,-2}

Step-by-step explanation:

     3x - 2y = 25

     -5x + 2y = -39

 [2]    2y = 5x - 39

 [2]    y = 5x/2 - 39/2

// Plug this in for variable  y  in equation [1]

  [1]    3x - 2•(5x/2-39/2) = 25

  [1]    -2x = -14

// Solve equation [1] for the variable  x

  [1]    2x = 14

  [1]    x = 7

Answer:

look at the picture i have attached and tell me what you think???

Step-by-step explanation:

parallel is two lines that go like this \\ or like this =

perpendicular is two lines that go like this +

which is it?

Answer:

they are parallel as gradient is the same because in first equation coefficient of x is -2 and in second equation after rearranging equation in form of y= mx + c, m is -2

Answer:

She would no reach her goal.

Step-by-step explanation:

Answer:

There are 3 mini hotdogs and 6 chicken wings in the combination meal.

Step-by-step explanation:

Variable Definitions:

​x=the number of mini hotdogs in the meal

y=the number of chicken wings in the meal

Each mini hotdog has 100 calories, so x mini hot dogs would have 100x100x calories. Each chicken wing has 50 calories, so  y chicken wings would have 50y calories. Therefore, the total number of calories 100x+50y equals 600:

100x+50y=600

Since the combination meal has twice as many chicken wings as mini hot dogs, there are more chicken wings, so if we multiply 2 by the number of mini hot dogs, we will get the number of chicken wings, meaning y equals 2x.

y=2x

Write System of Equations:

​100x+50y=600

y=2x

Solve for y in each equation:

100x+50y=600

50y=−100x+600

y=−2x+12

The x variable represents the number of mini hotdogs in the meal and the y variable represents the number of chicken wings in the meal. Since the lines intersect at the point (3,6) we can say:

There are 3 mini hotdogs and 6 chicken wings in the combination meal.

​

There are 3 mini hot dogs and 6 chicken wings in the combination meal.

​x=the number of mini hot dogs in the meal

y=the number of chicken wings in the meal

Each mini hot dog has 100 calories,

so x mini hot dogs would have 100×100x calories.

Each chicken wing has 50 calories, so  y chicken wings would have 50y calories.

Therefore, the total number of calories 100x+50y equals 600:

100x+50y=600

Since, the combination meal has twice as many chicken wings as mini hot dogs, there are more chicken wings,

so, if we multiply 2 by the number of mini hot dogs, we will get the number of chicken wings, meaning y equals 2x.

y=2x

​100x+50y=600

y=2x

Solve for y in each equation:

100x+50y=600

50y=−100x+600

y=−2x+12

The x variable represents the number of mini hot dogs in the meal, and the y variable represents the number of chicken wings in the meal.

Since the lines intersect at the point (3,6) we can say:

Therefore, there are3 mini hot dogs and 6 chicken wings in the combination meal.

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The coordinates of each points are:

A = (-0.5, -5)

B = (0.8, -1.8)

C = (-2.6, -2.2)

D = (-1.5, -8.9)

E = (2.5, -6.5)

F = (-1.5, 3.1)

G = (-2.4, 4.1)

H = (1.5, 3)

I = (2.7, 1.5)

J = (-1.5, 0)

K = (-6.5, 0)

We have,

The coordinates of each point are in an ordered form.

i.e

(x, y)

x is the x-axis value.

y is the y-axis value.

Thus,

A = (-0.5, -5)

B = (0.8, -1.8)

C = (-2.6, -2.2)

D = (-1.5, -8.9)

E = (2.5, -6.5)

F = (-1.5, 3.1)

G = (-2.4, 4.1)

H = (1.5, 3)

I = (2.7, 1.5)

J = (-1.5, 0)

K = (-6.5, 0)

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Answer:

Step-by-step explanation:

Justin rode his bicycle in a day = 2.4 miles

Justin ride altogether during the 20-days = ?

? = 2.4 × 20

? = 48

Therefore, Justin ride altogether during the 20-days stretch is 48 miles.

The correct answer is option D: A line passes through the point (0, 0) and continues through the point (12, 3)

For the first question:

The table shows a proportional relationship between x and y. To describe what the graph of this proportional relationship would look like, we can examine the given data points.

The data points are (12, 3), (8, 26), and (24, ?). We can observe that as x increases, y also increases. This indicates a positive correlation between the variables. Additionally, we can see that the ratio of y to x remains constant for each data point.

Now, let's analyze the answer options:

A. A line passes through the point (0, 0) and continues through the point (3, 12).

This answer option does not align with the given data because there is no data point with an x-value of 3 and a corresponding y-value of 12.

B. A line passes through the point (0, 0) and continues through the point (2, 8).

This answer option aligns with the given data because (2, 8) is a valid data point from the table, and the line passes through the origin (0, 0).

C. A line passes through the point (0, 0) and continues through the point (6, 24).

This answer option does not align with the given data because there is no data point with an x-value of 6 and a corresponding y-value of 24.

D. A line passes through the point (0, 0) and continues through the point (12, 3).

This answer option aligns with the given data because (12, 3) is a valid data point from the table, and the line passes through the origin (0, 0).

Based on the analysis, the correct answer is option D: A line passes through the point (0, 0) and continues through the point (12, 3). This accurately represents the graph of the proportional relationship given in the table.

For the second question, I'm sorry, but you didn't provide the multiple-choice options or the complete question. Could you please provide the question and options so that I can assist you further?

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Answer:

42 units

Step-by-step explanation:

Area of a trapezoid is always 1/2(b1+b2)*h

so here base 1 is 4 units, and base 2 is 10 units. When we add these we get 14, divided by 2 which is 7, and multiplied by height of 6, which is 42