Solve for X. Round to the nearest tenth of a degree, if necessary.

Answer:

Car As unit rate is --- ***57km/h***

Car Bs unit rate is --- ***70km/h***

Which car goes faster? --- ***Car B*

I hope this helps. u said 45 minutes, so i tried to some up with an answer. best of luck on ur work

Step-by-step explanation:

car a is 57 km in an hour, as 57t is equal to d. This, when d is 57 km will be 1 hr. So we are assuming that "t" is 1. Then d is 57. NOw lets check out car b. 140/2 is for 2 hrs, 210/3 for 3 hrs, and 280/4 for 4 hrs. This gives rate of 70 km in 1 hr.

Answer:

\( 2 \times x \times \frac{1}{x} = 2 \\ {x}^{2} + {y }^{2} + 2xy = {(x + y)}^{2} \\ {x}^{2} + \frac{1}{ {x}^{2} } + 2 = {(x + \frac{1}{x} })^{2} = {3}^{2} = 9\)

Answer:

5

Step-by-step explanation:

To find the slope, you need to solve for y

So subtract 15x from both sides

-3y=-15x+18

Divide by -3

y=5x-6

The slope is 5

Answer:

5

Step-by-step explanation:

Because I is smart

Lol, give other person brainliest, they deserve it

There may have been some bias or non-randomness in the selection process of the children for the community project.

To test whether the children were randomly selected, we can conduct a hypothesis test using the following steps:

Step 1: State the null and alternative hypotheses

Null hypothesis: The proportion of low-income children in the sample is equal to the proportion of low-income children in the population (i.e., p = 0.80).

Alternative hypothesis: The proportion of low-income children in the sample is not equal to the proportion of low-income children in the population (i.e., p ≠ 0.80).

Step 2: Determine the level of significance

Assuming a level of significance of 0.05, we want to find out whether the sample provides strong evidence to reject the null hypothesis in favor of the alternative hypothesis.

Step 3: Calculate the test statistic

We can use the z-test for proportions to calculate the test statistic, which measures the number of standard errors between the sample proportion and the population proportion under the null hypothesis.

z = (p - p) / √[p(1-p) / n]

where:

p = sample proportion

p = hypothesized population proportion

n = sample size

Using the given information, we have:

p = 0.74

p = 0.80

n = 200

Plugging in the values, we get:

z = (0.74 - 0.80) / √[(0.80)(1-0.80) / 200] = -2.33

Step 4: Determine the p-value

We need to find the probability of obtaining a z-score as extreme as -2.33 or more extreme (in either direction) if the null hypothesis is true. This is the p-value.

Using a standard normal distribution table or calculator, we find that the p-value is approximately 0.0202.

Step 5: Make a decision

Since the p-value (0.0202) is less than the level of significance (0.05), we reject the null hypothesis. This means that there is strong evidence to suggest that the sample proportion of low-income children is significantly different from the population proportion. In other words, it is unlikely that the sample was randomly selected from the population.

Therefore, further investigation may be needed to identify the potential sources of bias and take corrective actions.

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Answer:9

Step-by-step explanation:

Answer:

Hi! The answer to your question is -646

Step-by-step explanation:

☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆

☁Brainliest is greatly appreciated!☁

Hope this helps!!

- Brooklynn Deka

The expected mass of the sample in the year 2005, to the nearest whole number is 45 mg.

In mathematics, an exponential function is a relationship of the type y = ax, where x is an independent variable that spans the entire real number line and is expressed as the exponent of a positive number.

The general form of exponential decays is given as,

y = y₀\(e^{-kt}\) here y₀ is the initial mass k is constant while t is the number of years.

As per the given,

Initial mass y₀ = 490 mg

Apply the formula for the year 1998,

t = 1998 - 1995 = 3, y = 240 mg

240 = 490\(e^{-k\times3}\)

\(e^{-k\times3}\) = 24/49

Take natural logs on both sides

ln\(e^{-k\times3}\) = ln(24/49)

-3k = -0.713766467

k = 0.23792215

Therefore, the formula becomes,

y = y₀\(e^{-0.23792215t}\)

The mass in the year 2005

t = 2005 - 1995 = 10

y = 490e^(-2.3792215)

y = 45.35 mg to the nearest whole number.

y = 43 mg.

Hence "The expected mass of the sample in the year 2005, to the nearest whole number is 45 mg".

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To draw the influence lines for the bar forces in members ab, bk, bc, and lk, we need to first understand what influence lines are. Influence lines are graphical representations of the effect of a unit load applied at any point on the structure.

In this case, we want to draw the influence lines for the bar forces in members ab, bk, bc, and lk if the live load is applied to the truss through the lower chord. This means that we need to determine the effect of a unit load applied at different points along the lower chord on the bar forces in these members.

To draw the influence line for member ab, we need to consider a unit load applied at different points along the lower chord and determine the corresponding force in member ab. We can do this by analyzing the truss using the method of joints and solving for the force in member ab. We repeat this process for different points along the lower chord and plot the results on a graph to obtain the influence line for member ab.

Similarly, we can draw the influence lines for members bk, bc, and lk by considering unit loads applied at different points along the lower chord and determining the corresponding forces in these members.

In summary, to draw the influence lines for the bar forces in members ab, bk, bc, and lk if the live load is applied to the truss through the lower chord, we need to analyze the truss using the method of joints and consider unit loads applied at different points along the lower chord to determine the corresponding forces in these members. We can then plot the results on a graph to obtain the influence lines for each member.

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Answer:

Height after 9 weeks: 1.5(9)+5= 18.5

Height after w weeks: 1.5w+5

Step-by-step explanation:

Answer:

Step-by-step explanation:

P - Parenthesis

E - Exponents

M - Multiplication

D - Division

A - Addition

S - Subtraction

2). 4 × (3 + - 3)  [Parenthesis]

   = 4 × (3 - 3) [subtraction]

   = 4 × 0 [Multiplication]

   = 0

3). 24 ÷ (-4 + 12) + 2² [Parenthesis]

   = 24 ÷ (8) + 2² [Exponents]

   = 24 ÷ 8 + 4 [Division]

   = 3 + 4 [Addition]

  = 7

Answer:

sometimes used to distinguish between the measure of the angle

Step-by-step explanation:

A multiple-choice quiz has 15 questions,

(a) Probability of getting at least 12 correct answers by sheer guesswork is approximately 0.00000641.

(b) Expected number of correct answers is 3.

(a) To find the probability of getting at least 12 correct answers through sheer guesswork, we can use the binomial probability formula.
The probability of getting exactly k successes (correct answers) in n independent trials, each with a probability p of success(choosing the correct answer), is given by:
P(X = k) = C(n, k) * p^k * (1-p)^(n-k)
In this case, n = 15 (number of questions) and p = 1/5 (probability of choosing the correct answer).
To find the probability of getting at least 12 correct answers, we need to calculate the probability of getting exactly 12, 13, 14, and 15 correct answers, and then sum them up.
P(X ≥ 12) = P(X = 12) + P(X = 13) + P(X = 14) + P(X = 15)

P(X = 12) = 455 * (1/5)^12 * (4/5)^3 ≈ 0.00000606,

P(X = 13) = 105 * (1/5)^13 * (4/5)^2 ≈ 0.00000032,

P(X = 14) = 15 * (1/5)^14 * (4/5)^1 ≈ 0.00000003,

P(X = 15) = 1 * (1/5)^15 * (4/5)^0 ≈ 0.000000001.

P(X ≥ 12) = P(X = 12) + P(X = 13) + P(X = 14) + P(X = 15)

≈ 0.00000606 + 0.00000032 + 0.00000003 + 0.000000001

≈ 0.00000641.

Therefore, the probability that sheer guesswork will yield at least 12 correct answers is approximately 0.00000641.

(b) Expected number of correct answers:

E(X) = n * p

E(X) = 15 * (1/5)

= 3.

Therefore, the expected number of correct answers by sheer guesswork is 3.

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Answer:

rational numbers and real numbers

Step-by-step explanation:

The midpoint of the line segment is (1, 2). Then the correct option is B.

Let AB be the line segment and C be the mid-point of line segment AB. Let the coordinate of point A (x₁, y₁), the coordinate of point B (x₂, y₂), and the coordinate of the mid-point (x, y).

Then the coordinate of the mid-point of the line segment is given as,

(x, y) = [(x₁ + x₂) / 2, (y₁ + y₂) / 2]

The endpoints of the line segment are (-1, 7) and (3, -3). Then the mid-point of the line segment will be given as,

(x, y) = [(-1 + 3) / 2, (7 - 3) / 2]

(x, y) = (2/2, 4/2)

(x, y) = (1, 2)

The midpoint of the line portion is (1, 2). Then the right choice is B.

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Answer:

\(\huge\boxed{Slope = 3}\)

Step-by-step explanation:

The coordinates are (5,6) and (6,9)

Slope = Rise / run

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

Slope = \(\frac{9-6}{6-5}\)

Slope = \(\frac{3}{1}\)

Slope = 3

Answer:

\(slope = 3\)

Hope this helps you

brainliest plz

Answer:

-15

Step-by-step explanation:

the number is N

N - 9 = -24

N = -15

Answer:

the answer is 33

Step-by-step explanation:

-24 + 9 = -33

200 is the mean absolute deviation. Therefore, choice three (200) is the right one.

The absolute difference between the predicted and actual values must be determined, added together, and divided by the total number of periods.

Forecasted values are as follows: 1,500 and 1,400

Values in actuality: 1,200 and 1,500

Absolute differences:

|1,500 - 1,200| = 300

|1,400 - 1,500| = 100

Now, we calculate the MAD:

MAD = (300 + 100) / 2 = 400 / 2 = 200

Therefore, 200 is the mean absolute deviation. Therefore, choice three (200) is the right one.

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Answer:

13:5

Step-by-step explanation:

Messy played 65 minutes while the substitute played 25 minutes. This ratio is 65:25 and can be simplified to 13:5.

Answer:

43.5

divide 174 ÷ 4 and you get 43.5

The range of x are;

1. x < -30

2. x > 8

3. x > 15

4. x < -2

A relationship between two expressions or values that are not equal to each other is called 'inequality.

1. -130 > 50x +20

-130-20> 50x

-150 > 50x

-150/50 > x

-30 > x

x < -30

2. -8(x-3) < -40

-8x +24< -40

collect like terms

-8x < -64

x > -64/-8

x > 8

3. 2x - 22 > 8

collect like terms

2x > 30

divide both sides by 2

x > 30/2

x > 15

4. -35 < -5(x+9)

-35 < -5x -45

collect like terms

10 < -5x

-2 > x

x < -2

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Answer:

B

Step-by-step explanation:

You have to match up the corresponding sides in the 2 triangles

The sides you have to find are AB/BC

The side that corresponds to AB in triangle DEF is DE

The side that corresponds to BC is EF

Answer:

Option B: 7x + y - 4 feet

Step-by-step explanation:  I got it right on the test. Trust me

The total perimeter of the triangular fence using the perimeter of a triangle formula is:

7x + y - 4 feet.

The perimeter of a form is the whole length enclosing it. It is the measurement of the perimeter or outline of any two-dimensional geometric shape. Many figures may have the same perimeter depending on their sizes.

The length that the shape's perimeter covers is known as the perimeter. Hence, the perimeter's units will be the same as its length units.

Now perimeter of a triangle =

Sum of all the sides of the triangular region:

= 4x + 5 + y -7 + 3x - 2

= 7x + y -4

Therefore, perimeter of the fence = 7x + y -4 feet.

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Answer:

i typed in • and actually got the answer have a good Friday

\(T(\stackrel{x_1}{4}~,~\stackrel{y_1}{1})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{3}{5} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1}=\stackrel{m}{ \cfrac{3}{5}}(x-\stackrel{x_1}{4}) \\\\\\ y-1=\cfrac{3}{5}x-\cfrac{12}{5}\implies y=\cfrac{3}{5}x-\cfrac{12}{5}+1\implies {\Large \begin{array}{llll} y=\cfrac{3}{5}x-\cfrac{7}{5} \end{array}} \\\\[-0.35em] ~\dotfill\)

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the line AB

\((\stackrel{x_1}{1}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{-2}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-2}-\stackrel{y1}{1}}}{\underset{run} {\underset{x_2}{5}-\underset{x_1}{1}}} \implies \cfrac{ -3 }{ 4 } \implies - \cfrac{3 }{ 4 } \\\\[-0.35em] ~\dotfill\)
\(\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{-3}{4}} ~\hfill \stackrel{reciprocal}{\cfrac{4}{-3}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{4}{-3}\implies \cfrac{4}{3}}}\)

so we're really looking for the equation of a line that has a slope of 4/3 and that it passes through (3 , 2)

\((\stackrel{x_1}{3}~,~\stackrel{y_1}{2})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{4}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{2}=\stackrel{m}{ \cfrac{4}{3}}(x-\stackrel{x_1}{3}) \\\\\\ y-2=\cfrac{4}{3}x-4\implies {\Large \begin{array}{llll} y=\cfrac{4}{3}x-2 \end{array}}\)

To determine if the linear system corresponding to an augmented matrix [a1 a2 a3 b] has a solution, we can check whether the vector b is in the span of the vectors {a1, a2, a3}.

In linear algebra, the augmented matrix represents a system of linear equations. The columns a1, a2, and a3 correspond to the coefficients of the variables in the system, while the column b represents the constants on the right-hand side of the equations. To check if the system has a solution, we need to determine if the vector b is a linear combination of the vectors a1, a2, and a3.

If the vector b lies in the span of the vectors {a1, a2, a3}, it means that b can be expressed as a linear combination of a1, a2, and a3. In other words, there exist scalars (coefficients) that can be multiplied with a1, a2, and a3 to obtain the vector b. This indicates that there is a solution to the linear system.

On the other hand, if b is not in the span of {a1, a2, a3}, it implies that there is no linear combination of a1, a2, and a3 that can yield the vector b. In this case, the linear system does not have a solution.

Therefore, determining whether the vector b is in the span of {a1, a2, a3} allows us to determine if the linear system corresponding to the augmented matrix [a1 a2 a3 b] has a solution or not.

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the solution of the system of equation where x = -40.

What is a System of Equations?

A system of equations in algebra is made up of two or more equations that are solved together. "A group of equations satisfied by the same set of variables are called a system of linear equations. Finding the values of the variables employed in the system of equations is the first step towards solving it. While maintaining the balance of the equations on both sides, we compute the values of the unknown variables. Finding a variable whose value makes the condition of all the given equations true is the primary goal of solving an equation system.

8+x/2 =1/4(x-4) - 1

⇒8+x/2 = x/4 -1 -1

⇒x/2-x/4 = -10

⇒x/4 = -10

⇒x = -40

Hence the solution of the system of equation where x = -40.

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The temperature -6°C is colder than 3°C, -6°C is closer to the freezing temperature, and -6°C has a smaller absolute value.

The absolute value of a number is the magnitude or distance of that number from zero on the number line, regardless of its sign. It is denoted by two vertical bars surrounding the number, and is always a non-negative value.

According to the given information:

a. 1°C: This describes a temperature that is 1 degree above freezing point.

b. -4°C: This describes a temperature that is 4 degrees below freezing point.

c. [12]°C: The notation "[12]°C" is not clear and may not represent a specific temperature. It needs further clarification or context.

d. 1-71°C: The notation "1-71°C" is not clear and may not represent a specific temperature. It needs further clarification or context.

To answer the remaining questions:

1.Temperature -6°C is colder than 3°C as it is 6 degrees below freezing point, while 3°C is 3 degrees above freezing point.

2.Temperature -6°C is closer to the freezing temperature as it is only 6 degrees below freezing point, while 3°C is 3 degrees above freezing point.

3. Temperature -6°C has a smaller absolute value as it represents a temperature that is 6 degrees below freezing point, while 3°C represents a temperature that is 3 degrees above freezing point. Absolute value is the magnitude of a number without considering its sign, so a smaller absolute value indicates a temperature closer to zero or freezing point.

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Answer:

B) 4(6)+5(6)

Step-by-step explanation:

Normally when you see an expression like this, (4+5)6; I have to evaluate what's in the parentheses first, then solve it.

It can be either way:

6(4)+6(5) or (4)6+(5)6 or 6(4+5) = 6(9) = 54

(24)+(30) (24)+(30) or 6(9) = 54

This is the following of the distributive property, you must multiply the 6 first:

6(4) + 6(5)

You must distribute the 6 to the 4 then the 6 to the 5 in the distributive property law; you need to remember to remove the parentheses by multiplying first before doing the addition or subtraction!

Now you will the same answer in both case; with both approaches.

Answer:

B.

Step-by-step explanation:

6(4)+6(5) or (4)6+(5)6 or 6(4+5) = 6(9) = 54

(24)+(30) (24)+(30) or 6(9) = 54