135 in the ratio of 9:6

The hiker's resultant displacement can be calculated using vector addition. By considering the magnitudes and directions of the individual displacements, the resultant displacement can be determined.

The magnitude of the resultant displacement is approximately 3.8 km, rounded to the nearest tenth. The direction of the resultant displacement is approximately 7° south of west, rounded to the nearest whole degree.

To find the resultant displacement, we can break down the hiker's displacements into their respective components. The first displacement of 3.5 km at an angle of 55° south of west can be represented as -3.5 km westward and -3.5 km × sin(55°) = -2.9 km southward. The second displacement of 2.7 km at an angle of 16° east of south can be represented as +2.7 km southward and +2.7 km × sin(16°) = +0.7 km eastward.

To find the resultant displacement, we add the components in each direction separately. The westward components add up to -3.5 km, and the southward components add up to -2.9 km + 2.7 km = -0.2 km. Using the Pythagorean theorem, the magnitude of the resultant displacement is √((-3.5 km)² + (-0.2 km)²) ≈ 3.8 km (rounded to the nearest tenth).

To determine the direction of the resultant displacement, we can use trigonometry. The angle θ can be calculated as arctan((-0.2 km)/(-3.5 km)) ≈ 7°. Since the angle is measured south of west, the direction of the resultant displacement is approximately 7° south of west (rounded to the nearest whole degree).

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Answer: The measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles. (Non-adjacent interior angles may also be referred to as remote interior angles.)

Step-by-step explanation:  ???

three main trigonometry ratios are sin ,cos and tan.

1- Sine or sin θ = perpendicular / Hypotenuse .

2- Cosines or cos θ = base of triangle / Hypotenuse .

3- Tangent or tan θ = perpendicular of triangle / base of triangle.

Trigonometry

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Trigonometric values are based on the angle theta and the values of the sides of triangle in which the theta angle is made.

for example - value of sin theta is equal to the side opposite to the theta angle divided by hypotenuse of the triangle and we will get the values of the sin trigonometric ratio.

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The real number √21 is an example of an irrational number. (Correct choice: C)

According to number theory, real numbers are formed by the following sets:

Then, by direct inspection we get the following conclusions:

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Answer:

20%

Step-by-step explanation:

Answer:

20%

Step-by-step explanation:

19.99 - 3.998(20%) = 15.992 which when rounded is 15.99

Comparing the means of the two samples, we find that the difference between the means is significant. Therefore, we can reject the claim and conclude that male and female high school students have different exam scores.

To perform the two-sample t-test, we first calculate the standard error of the difference between the means using the formula:

SE = sqrt((s1^2 / n1) + (s2^2 / n2))

Where s1 and s2 are the population standard deviations of the male and female students respectively, and n1 and n2 are the sample sizes. Plugging in the values, we have:

SE = sqrt((47^2 / 49) + (4.3^2 / 53))

Next, we calculate the t-statistic using the formula:

t = (x1 - x2) / SE

Where x1 and x2 are the sample means. Plugging in the values, we have:

t = (239 - 21.1) / SE

We can then compare the t-value to the critical t-value at α = 0.01 with degrees of freedom equal to the sum of the sample sizes minus 2. If the t-value exceeds the critical t-value, we reject the null hypothesis.

In this case, the t-value is calculated and compared to the critical t-value using the provided standard normal distribution table. Since the t-value exceeds the critical t-value, we can reject the claim that male and female high school students have equal exam scores.

Therefore, the correct answer is:

B. Male and female high school students have different exam scores.

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The correlation coefficient of 0.90 indicates a strong positive linear correlation between happiness and GPA of high school students.

A correlation coefficient measures the strength and direction of the relationship between two variables. In this case, the correlation coefficient of 0.90 indicates a strong positive linear correlation between happiness and GPA of high school students.

A positive correlation means that as one variable (in this case, happiness) increases, the other variable (GPA) also tends to increase. The magnitude of the correlation coefficient, which ranges from -1 to 1, represents the strength of the relationship. A value of 0.90 indicates a very strong positive linear correlation, suggesting that there is a consistent and significant relationship between happiness and GPA.

This means that as the level of happiness increases among high school students, their GPA tends to be higher as well. The correlation coefficient of 0.90 suggests a high degree of predictability in the relationship between these two variables.

It is important to note that correlation does not imply causation. While a strong positive correlation indicates a relationship between happiness and GPA, it does not necessarily mean that one variable causes the other. Other factors or variables may also influence the relationship between happiness and GPA.

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Answer:

\(\bf\huge{8}\)

Step-by-step explanation:

where,

⟼ 20 ÷ ( 4 + 1 ) × 2

⟼ 20 ÷ (5) × 2

⟼ 20 ÷ 5 × 2

⟼ 4 × 2

⟼ 8

∴ 20 ÷ ( 4 + 1 ) × 2 = 8.

Answer:

70t = 60t + 10

10t = 10

t = 1 hour

----------

1 hour  70 mi/hr = 70 miles

Step-by-step explanation:

Answer:

mCO₂ = 1.188 lb or simply 1.2 lb

Step-by-step explanation:

We need to use the following expression:

E = P * t

Where:

E: Energy in Kwh

P: Power in Watts

t: time in hours.

Applying this, with the given data we have:

E = 150 * 8

E = 1200 watts . h

Converting this value in kW we have:

E = 1200 watts * 1 kW/1000 watts = 1.2 kWh

In general terms, we have 0.99 pounds of CO₂ emissions per kWh, so with the obtained value we have:

mCO₂ = 0.99 * 1.2

Hope this helps

The function family based on the information is a linear function.

A linear function is a type of mathematical function that has the form:

f(x) = ax + b

where a and b are constants, and x is a variable. The variable x is often called the independent variable, and the variable f(x) is called the dependent variable.

The value of a determines the slope of the line, while the value of b determines the intercept of the line with the y-axis. The slope of the line represents the rate of change of the dependent variable with respect to the independent variable, and the intercept represents the value of the dependent variable when the independent variable is zero.

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The correct option is OA. V ==, which represents the volume of the pyramid as V = B * r.

The expression for the volume of a pyramid is given by:

V = (1/3) * B * h

Where

In this instance, it is said that the base areas of the cone and pyramid are identical. The basic area will be designated as B.

Three times the radius of the cone makes up the height of the pyramid. Let's write r for the cone's radius. As a result, the pyramid is three stories tall.

Now, substituting these values into the volume formula, we have:

V = (1/3) * B * (3r)

Simplifying further:

V = B * r

Therefore, V = B * r is the formula for the pyramid's volume in terms of the cone's radius.

So, the correct option is OA. V ==, which represents the volume of the pyramid as V = B * r.

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Answer:

a) Circle

b) 7.816

c) 1000cm³

May I have Brainliest?

Hope that this helps!

The second sum of money is $7.5

The ratio of the sum is given as:

Ratio = 4 : 5

Represent the second sum of money with x.

So, we have:

4 : 5 = 6 : x

Express the ratio as a fraction

4/5 = 6/x

Make x the subject of formula

x = 6 * 5/4

Evaluate the product

x = 7.5

Hence, the second sum of money is $7.5

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Answer:

see below

Step-by-step explanation:

1. 6 and 6sqrt(2)

2. 5 and 5sqrt(3)

3. 3 and 3

4. 12 and 6sqrt(3)

5. 2 and 2

6. 4 and 8

7. 6/sqrt(2) and 6/sqrt(2)

8. 9/sqrt(3) and 18/sqrt(3)

9.4/sqrt(2) and 4/sqrt(2)

10. 3 and 3sqrt(3)

11. 5 and 5sqrt(2)

12. 12/sqrt(3) and 24/sqrt(3)

Answer:

90 degrees

Step-by-step explanation:

We can see in the attachment that AOD extends from 0 degrees to 90 degrees, creating a 90 degree or right angle.

Hope this helps! :)

Answer:

Mom's car can hold 18 gallons.

Dad's car can hold 12 gallons.

Step-by-step explanation:

50% of 12 is 6.

If you need to know how much mom's car can hold, it is dad's amount + 6, which is 18. Mom's car can hold 18 gallons.

If it is dad's, then it is what was stated, 12 gallons.

Its C. 1. Open the compass to the length of the original segment. 2. With the same compass setting, place the compass on the ray with the point of the compass on the endpoint. 3. Draw a ray. 4. Draw an arc that intersects the ray and mark the new endpoint.

Answer:151

Step-by-step explanation:

Addition of 107 and 44

The value of the angle m∠EFG is 151.

We have,

From  the figure,

m∠EFG = m∠EFH + m∠HFG

Now,

Substituting the values in the angle.

m∠EFG

= m∠EFH + m∠HFG

= 44 + 107

= 151

Thus,

The value of the angle m∠EFG is 151.

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Answer:

what was the temperature at first?

For a random day with the standard deviation, the probability that there are less than 300 shoppers on a random day, is 0.00585.

Probability is a measure of the likelihood that an event will occur.

The average total number of shoppers on a grocery store in 1 day is 505; the standard deviation is 115.

Let, X be the random variable denoting the number of shoppers on a random day.

Then, X follows normal with mean 505 and standard deviation of 115.

Then, we can say that,

Z=(X-505)/115 follows standard normal with mean 0 and standard deviation of 1.

We have to find

P (250 <X< 450)

= P {(250-505)/155} < Z < {(450-505)/155}

= P (-1.64 <Z< -0.03)

Where, Z is the standard normal variate.

ρ = -1.64 <ρ< -0.03

Where, ρ is the distribution function of the standard normal variate.

From the standard normal table, this becomes

=0.00585

For a random day, the probability that there are less than 300 shoppers on a random day, is 0.00585.

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Answer:

c

Step-by-step explanation:

Answer:

cccc

Step-by-step explanation:

Step 1: The standard deviation of ^p is approximately 0.0159.

Step 2: If the sample size were 6000 rather than 1500, the standard deviation of ^p would be approximately 0.0079.

In statistics, standard deviation is a measure of the amount of variability or dispersion of a set of data values. In survey sampling, the standard deviation of ^p, the proportion of individuals in a sample who possess a particular characteristic of interest, is given by the formula sqrt((p*(1-p))/n), where p is the population proportion and n is the sample size.

In this scenario, the population proportion is assumed to be 0.9 based on the information provided. Thus, the standard deviation of ^p for a sample size of 1500 is sqrt((0.9*(1-0.9))/1500) = 0.0159. Similarly, for a sample size of 6000, the standard deviation of ^p would be sqrt((0.9*(1-0.9))/6000) = 0.0079.

These results suggest that larger sample sizes tend to produce more precise estimates of the population proportion. This is because as the sample size increases, the standard deviation of ^p decreases, indicating that the estimate is more likely to be closer to the true population value. Therefore, it is generally recommended to use larger sample sizes in survey sampling whenever possible.

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1.  x² - 5x - 16 can be written as (x - 8)(x + 2).

2. 6an² - 3b²n² = n²(6a - 3b²).

3. This expression represents a perfect square trinomial, which can be factored as (2x - y)².

4. Combining like terms, we get -n³ - n² + n + 1 = -(n³ + n² - n - 1).

5. 17x³y⁴z⁶ = (x²y²z³)².

6. 12a²b³ = (2a)(6b³) = 12a6b³ = 12a⁷b³x⁶.

Let's simplify the given expressions:

Simplifying x² - 5x - 16:

To factorize this quadratic expression, we look for two numbers whose product is equal to -16 and whose sum is equal to -5. The numbers are -8 and 2.

Therefore, x² - 5x - 16 can be written as (x - 8)(x + 2).

Simplifying 6an² - 3b²n²:

To simplify this expression, we can factor out the common term n² from both terms:

6an² - 3b²n² = n²(6a - 3b²).

Simplifying 4x² - 4xy + y²:

This expression represents a perfect square trinomial, which can be factored as (2x - y)².

Simplifying n + 1 - n³ - n²:

Rearranging the terms, we have -n³ - n² + n + 1.

Combining like terms, we get -n³ - n² + n + 1 = -(n³ + n² - n - 1).

Simplifying 17x³y⁴z⁶:

To simplify this expression, we can divide each exponent by 2 to simplify it as much as possible:

17x³y⁴z⁶ = (x²y²z³)².

Simplifying 12a²b³:

To simplify this expression, we can multiply the exponents of a and b with the given expression:

12a²b³ = (2a)(6b³) = 12a6b³ = 12a⁷b³x⁶.

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The perimeter is defined as the total length measurement of the curcumference of a polygon.

But generally we are given the measurements of sides of the polygon.

So the perimeter is found by summing up all these sides that act as a circumference or boundary of the polygon,

The length of a shape's outline is its perimeter. You must add the lengths of all four sides of a rectangle or square to determine its perimeter. In this instance, x denotes the rectangle's length and y its width.

Answer:

9 is answer

Step-by-step explanation:

Hehe..hope it helps

Answer:

Hope this may helps you