Im st*pid and tired pls help will give brilliant

Answer:

Andrew is driving at a faster speed and they both started at the same place.

To find the probability that a student chosen randomly from the class passed the test:

The total number of students in class = 29 students.

The no. of students passed the test ⇒ 16+4 = 20 students.

Event A ⇒ a student chosen randomly from the class passed the test

P(A) = Number of students passed / Total students in the class

P(A) = 20/29

P(A) = 0.689 = 68.9%

Answer:

Above is the answer for this question. Thank you!

Answer:

-5ab, 5ab, and ab.

Step-by-step explanation:

9514 1404 393

Answer:

  6.302×10^7 kg

Step-by-step explanation:

Since we want to find the difference in mass, we need to have the same exponent on both numbers. For that purpose, it is convenient to change the representation of the train's mass to 0.998×10^7 kg.

The carrier has more mass by the amount of ...

  7.3×10^7 -0.998×10^7 = (7.300 -0.998)×10^7 = 6.302×10^7 . . . kg

_____

Your (scientific or graphing) calculator or a spreadsheet can figure this for you and give you the scientific notation display.

In order to solve the system of equations, let's equate both values of y and solve for x using the quadratic formula:

Now, let's calculate the values of y for each value of x:

Therefore the solutions are (1, 7) and (5/2, 10).

Correct option: second one.

Answer:

\(\mathrm{No\:Solution}\)

Step-by-step explanation:

\(-5r +6 \leq -5(r+2)\\\\Expand \\\\-5r+6\le \:-5r-10\\\\\mathrm{Subtract\:}6\mathrm{\:from\:both\:sides}\\-5r+6-6\le \:-5r-10-6\\\\Simplify\\-5r\le \:-5r-16\\\\\mathrm{Add\:}5r\mathrm{\:to\:both\:sides}\\-5r+5r\le \:-5r-16+5r\\\\Simplify\\0\le \:-16\\\\\mathrm{Therefore,\:the\:solution\:is}\\\mathrm{No\:Solution}\)

Answer:

log8 (2.718) = 0.48

Step-by-step explanation:

In 2.718 ÷ In 8 = 0.999896 ÷ 2.07944

= 0.4808

Expression ㏒₈2.718 = 0.43, since option d. is the correct solution to the given question.

The logarithm is a mathematical function with a number and a base whose solution is the power to which the base needs to be raised to obtain that number.

We need to evaluate ㏒₈2.718.

We will use the base changing formula for the evaluation, which is given by:

㏒ₐX = ㏒ₓX/㏒ₓa

∴㏒₈2.718

= ㏒2.718/㏒8

= 0.4342494523/0.9030899869

= 0.4808484853

Rounding of the answer to two decimal places, ㏒₈2.718 = 0.48.

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Answer:

\(222cm^{2}\)

Step-by-step explanation:

First we will find the length of BD.

By Pythagoras' Theorem,

\(c^{2} =a^{2} +b^{2} \\BD^{2} = AD^{2} +AB^{2} \\BD^{2} =12^{2} +16^{2} \\BD^{2} = 144+256\\BD^{2} =400\\BD = \sqrt{400} \\=20cm\)

Now we will find Angle ADB.

\(\frac{AB}{sin(Angle ADB)} =\frac{BD}{Sin(AngleBAD)} \\\frac{16}{sin(AngleADB)} =\frac{20}{sin(90)} \\20sin(AngleADB)=16sin(90)\\20sin(AngleADB)=16\\sin(AngleADB)=\frac{16}{20} \\sin(AngleADB)=0.8\\AngleADB=sin^-1(0.8)\\=53.130deg\\\)

Now we will find Area of triangle BCD

\(Angle BDC = 90 - Angle ADB = 90 - 53.130 = 36.87deg\\\\\\Area of Triangle BCD \\= \frac{1}{2} (BD)(CD)sin(AngleBDC)\\=\frac{1}{2} (20)(21)sin(36.87)\\= 126cm^{2}\)

Then we will find the area of triangle BAD

\(=\frac{1}{2} (16)(12)\\= 96cm^{2} \\\)

Area of quadrilateral = Area of Triangle BCD + Area of Triangle BAD

= 126+96

= \(222cm^{2}\)

Answer:

Step-by-step explanation:

it is a trapezoid

so

A = ½ (a + b) h

A = ½ (16 + 21) × 12

A = ½ 37 × 12

A = ½ 444

A = 222 cm²

9514 1404 393

Answer:

  mutually exclusive

Step-by-step explanation:

The formula of interest is ...

  P(A or B) = P(A) + P(B) - P(A and B)

Filling in the given values, we have ...

  9/10 = 2/5 + 1/2 - P(A and B)

Solving for P(A and B), we get ...

  P(A and B) = 2/5 +1/2 -9/10 = 4/10 +5/10 -9/10

  P(A and B) = 0

__

Events are mutually exclusive when they can never happen at the same time. That is, P(A and B) = 0.

The events A and B are mutually exclusive.

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

x + y = 3 ( subtract x from both sides )

y = - x + 3 ← in slope- intercept form

with slope m = - 1

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular}m

perpendicular

= - \frac{1}{m}

m

1

= - \frac{1}{-1}

−1

1

= 1

The closest option is (d) 12.054 to 15.946.

To find the confidence interval for the mean of a normal population, we use the formula:

CI = x ± z* (σ/√n)

where x is the sample mean, z* is the critical value from the standard normal distribution corresponding to the desired confidence level (80% in this case), σ is the population standard deviation (unknown), and n is the sample size.

Since the population standard deviation is unknown, we can estimate it using the sample standard deviation:

s = √[ Σ(xi - x)² / (n - 1) ]

where xi is the ith observation, x is the sample mean, and n is the sample size.

Plugging in the values from the sample, we get:

x = (10 + 12 + 18 + 16) / 4 = 14

s = √[ (10-14)² + (12-14)² + (18-14)² + (16-14)² / 3 ] = 2.94

To find the critical value, we look it up from a standard normal distribution table or use a calculator. For an 80% confidence interval, the critical value is approximately 1.282.

Plugging in all the values, we get:

CI = 14 ± 1.282 * (2.94 / √4) = 14 ± 1.4952

Therefore, the 80% confidence interval for the mean is:

CI = (14 - 1.4952, 14 + 1.4952) = (12.5048, 15.4952)

The closest option is (d) 12.054 to 15.946.

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The total capacity of the big school bus is 140 children.

To find out how many children can fit into the big school bus, let's work through the given information step by step.

When the bus left Area A, it was 2/7 full. This means that 2/7 of the bus's capacity was occupied by children. Let's represent the total capacity of the bus as 'x'. Therefore, 2/7 of 'x' corresponds to the number of children on the bus when it left Area A.

After the bus arrived at Area B, 9 children alighted, which means the number of children decreased by 9. We are then told that there were 31 children remaining on the bus. So, the number of children on the bus before any alighted was 31 + 9 = 40.

Since 2/7 of the bus's capacity was occupied by children when it left Area A, we can set up the following equation:

(2/7) * x = 40

To solve for 'x', we can multiply both sides of the equation by (7/2):

x = 40 * (7/2)

x = 140

Therefore, the total capacity of the big school bus is 140 children.

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Answer:

Str (Texture aspect ratio) Str is a measure of uniformity of the surface texture

Step-by-step explanation:

The range of the function y = 2sin(x) is the set of all possible values that the function can take. The range of the function y = 2sin(x) is [-2, 2].

In trigonometry, the sine function can be defined as the ratio of the length of the opposite side to that of the hypotenuse in a right-angled triangle. The sine function, sin(x), has a range between -1 and 1, inclusive. When we multiply the sine function by 2, as in the case of y = 2sin(x), the range is expanded.

Multiplying the range of sin(x) [-1, 1] by 2 gives us the range of 2sin(x), which is [-2, 2].

Therefore, the range of the function y = 2sin(x) is [-2, 2].

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Answer:

Step-by-step explanation:

Area of parallelogram is:  A = B•H     {H⊥B}

B = 36 in.

H = 33 in.

A = 36 in. • 33 in. = 1188 in.²

Answer:

B.

Step-by-step explanation:

1 / 19 is 0.0526.

The probability of winning $1.00 in the lottery is 0.0526, or 5.26%.

Here, correct answer will be b. 0.0526.

This is calculated by dividing the number of favorable outcomes (1) by the total number of possible outcomes (19). To put it another way, if you were to buy 19 tickets, on average, you would win $1.00 once. The odds of winning the lottery are always lower than the probability because the lottery is designed to be a game of chance, so the odds are always stacked against the player.

It is important to remember that the probability of winning is still very low, no matter how many tickets you buy. As a result, it is important to remember that the lottery is a game of luck and should not be relied upon as a source of income.

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Curved surface area of cone: 255π or approx. 801.41 sq units with radius 15 and height 8.

The curved surface area of a right circular cone can be calculated using the formula:

A = πrℓ

where A is the area of the curved surface,

r is the radius of the base of the cone, and

ℓ is the slant height of the cone.

To find the slant height, we can use the Pythagorean theorem:

ℓ² = r² + h²

where h is the height of the cone.

Substituting the given values, we get:

ℓ² = 15² + 8²

ℓ² = 225 + 64

ℓ² = 289

ℓ = √289

ℓ = 17

Now, substituting the values of r and ℓ in the formula for curved surface area, we get:

A = πrℓ

A = π(15)(17)

A = 255π

Therefore, the area of the curved surface of the cone is 255π square units, or approximately 801.41 square units.

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Null hypothesis (H0): The global mean temperature in the current year is not lower than the global mean temperature in 1998 (μ ≥ 14.3°C).

Alternative hypothesis (H1): The global mean temperature in the current year is lower than the global mean temperature in 1998 (μ < 14.3°C).

As a climatologist, you can formulate the null and alternative hypotheses for testing whether the global mean temperature in the current year is lower than the global mean temperature in 1998. Here are the hypotheses:

Null hypothesis (H0): The global mean temperature in the current year is not lower than the global mean temperature in 1998.

H0: μ ≥ 14.3

Alternative hypothesis (H1): The global mean temperature in the current year is lower than the global mean temperature in 1998.

H1: μ < 14.3

In statistical terms, the null hypothesis assumes that the population mean temperature in the current year is greater than or equal to 14.3 degrees Celsius (or not lower than the temperature in 1998). The alternative hypothesis, on the other hand, suggests that the population mean temperature in the current year is lower than 14.3 degrees Celsius (lower than the temperature in 1998).

To test these hypotheses, you will need to gather more data and conduct appropriate statistical tests. The preliminary sample mean of 15.1 degrees Celsius will serve as a starting point, but further analysis will be necessary to make a conclusive determination.

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Answer:

200 cubic centimeters is the answer :)

Step-by-step explanation:

Answer:

\(x^{2} +11x-10\)

Step-by-step explanation:

\((13x^{2} +9x-4)-(12x^{2} -2x+6)\)

Remove the brackets and multiply the minus sign through all the numbers in the second polynomial

\(13x^{2} +9x-4-12x^{2} +2x-6\)

Rearrange in the highest order

\(13x^{2} -12x^{2} +9x+2x-4-6\)

Simplify

\(x^{2} +11x-10\)

Answer:

77

Step-by-step explanation:

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x + 9y

we plug in x and y

5+9(8)

=5+72

= 77

Answer:

77

Step-by-step explanation:

substitute the values in the equation

that'll give you 5+9(8)

then evaluate, 9(8)=72

72+5=77

Step-by-step explanation:

13.

Supplementary angles = 180º (theorem)

Set <ABD + <DBC = 180º

2x + (x+24) = 180º

add like terms = 3x+24=180

3x=156

x = 52

now plug in x for both angles

<ABD = 2(52) = 104

<DBC = 52+24 = 76

14.

complementary angles = 90º (theorem)

set <EFG + <GFH = 90º

y-32 + y = 90

2y - 32 = 90 : combine like terms

2y = 122

y = 61

now plug in y for both angles

<EFG = 61-32 = 29

<GFH = 61

15.

Vertical angles are equal to each other (theorem)

<PQR = <TRS

38 = 5w-7

45 = 5w

w = 9

plug into <TRS

<TRS = 5(9) - 7 = 38

(Also since you know that <PRQ is 38 and that the measure has to be the same for both angles, it can be assumed without algebra that <TRS would be 38º)

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Answer:

( x+2) ^2 +(y-3)^2=4^2

The center is ( -2,3) and the radius is 4

Step-by-step explanation:

x^2+4x+y^2-6y-3=0

Add 3 to each side

x^2+4x+y^2-6y=3

Complete the square for x

4/2 = 2      2^2 = 4  so add 4 to each side

x^2+ 4x +4+y^2-6y=3+4

( x+2) ^2 +y^2-6y=7

Complete the square for y

-6/2 = -3   (-3) ^2 = 9  so add 9 to each side

( x+2) ^2 +y^2-6y +9=7+9

( x+2) ^2 +(y-3)^2=16

( x+2) ^2 +(y-3)^2=4^2

The standard equation of a circle is

(x – h)^2 + (y – k)^2 = r^2  where ( h,k) is the center and r is the radius

Answer:

Its a inequality

Step-by-step explanation:

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The development of a 95% confidence interval for average wage rates in a random sample of 40 workers illustrates the characteristic of sampling error.

Sampling error refers to the fact that there will always be differences between a sample and the population from which it is drawn. These differences can occur due to chance, and they can affect the estimated characteristics of the sample, such as average wage rates.

A confidence interval is a range of values that is likely to contain the true population parameter with a certain degree of certainty or probability. In this case, a 95% confidence interval means that if we were to take many samples of size 40 from the same population and calculate a confidence interval for each one, approximately 95% of those intervals would contain the true population parameter.

The fact that the confidence interval is developed based on a random sample of 40 workers is an example of how sampling error can affect the estimate of the population parameter. Since the sample is just one possible subset of the population, there is some degree of uncertainty involved in estimating the true population parameter based on the sample data. The confidence interval helps to quantify that uncertainty and provide a range of possible values for the population parameter.

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The most realistic value for the standard deviation is d) 4.

Since adult weights follow a bell-shaped distribution, we can assume a normal distribution. We know the range is from 55 to 80 pounds with a mean of 66 pounds. The standard deviation determines how spread out the data is from the mean. If the distribution is more spread out, then the standard deviation will be higher. Given the range of weights, a standard deviation of 4 seems like a reasonable value as it would allow for some variability in the weights while keeping them within the observed range. Values such as 100 billion or even 45 would not be realistic as they are too large and would imply a highly variable and skewed distribution.

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