Which table of values satisfies the linear equation y=−34x −6?

The indicated IQ score is given as 117.

The area under the curve is given as 0.1431

the area to the left of x = 1 - 0.1431

= 0.8569

for 0.8569 the z stat is 1.07

u = 100

sd = 15

x = u + z * sd

= 100 + 0.8569 * 15

= 116.05

approximately 117

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Find the indicated IQ score. The graph to the right depicts IQ scores of​ adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15.

xx

0.1431

A symmetric bell-shaped curve is plotted over a horizontal scale. A vertical line runs from the scale to the curve at labeled coordinate x, which is to the right of the curve’s center and peak. The area under the curve to the right of the vertical line is shaded and labeled 0.1431.

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[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Let's start with eliminating choices first ~

The value decreases as years pass by, so the value multiplied by initial value should be an exponent on the value that is less than 1.

So, only the choices with exponent on 0.9 should be qualified, eliminating the choices A and C

Next, the initial value of motorcycle is 12000 according to table. so at x = 0, v(x) should be equal to 12000.

Now, let's check option B

[tex]\qquad \sf  \dashrightarrow \: v(x) = 12000(0.9) {}^{x} [/tex]

[tex]\qquad \sf  \dashrightarrow \: v(0) = 12000(0.9) {}^{0} [/tex]

[tex]\qquad \sf  \dashrightarrow \: v(0) = 12000(1)[/tex]

[tex]\qquad \sf  \dashrightarrow \: v(0) = 12000[/tex]

And since choice B satisfy each and every condition, that's the correct answer ~

Answer:

(X-3)5=575

5x-15=575

5x=575+15

5x=590

X= 590:5

X= 118

Step-by-step explanation:

solution

let first part be 5x and second part be 9x

so ,

5x = 35

x = 35\5

x = 7

Now 9x = 9*7 = 63

this might help you thank you

There will be 36.6 trees per acre after 4½ years from the end of the 5-year observation period. The solution has been obtained by using unitary method.

What is the unitary method?

The value of each individual unit is first determined using the unitary method, and only then is the value of the required number of units determined.

We are given that at the beginning of their observations, there was an average of 48 trees per acre. At the end of the 5-year period, there was an average of 42 trees per acre.

So, decline in trees per acre in 5 years is 48 - 42 = 6 trees per acre

So, decline in 1 year = 6/5 = 1.2 trees per acre

Similarly, decline in 4.5 years = 1.2 * 4.5 = 5.4 trees per acre

Thus, trees left per acre = 42 - 5.4 = 36.6 trees

Hence, there will be 36.6 trees per acre after 4½ years.

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Shawn made 4 round trips to visit his grandma.

The travel time is the amount of time it takes to travel from one location to another. The specific method for calculating travel time depends on the mode of transportation being used. Here are some general guidelines for calculating travel time:

Let's start by converting the total travel time to minutes:

5 hours and 12 minutes = 5 × 60 + 12 = 312 minutes

Let's call the number of round trips that Shawn made "x".

For each round trip, Shawn has to travel to his grandma's apartment and then back home. The total time for each round trip is:

time per round trip = time to get there + time to get back + time to walk to/from parking

time per round trip = 35 + 35 + 4 + 4 = 78 minutes

So the total travel time for all of the round trips is:

total travel time = time per round trip x number of round trips

312 = 78x

Solving for "x", we get:

x = 312/78 = 4

Therefore, Shawn made 4 round trips to visit his grandma.

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Answer: nope

Step-by-step explanation:

No, the 200$ marked down 20% would be 200 - 0.2 * 200 = 160$. Then, if it is increased by 20%, it would be 160 + 0.2 * 160 = 192$. So, 200$ is not equal to 192$.

The constant of proportionality for this relationship is the circumference of the wheel.

A proportional relationship between two variables means that the ratio of the two variables is constant. In other words, if the independent variable (time in this case) increases, the dependent variable (the amount of money Steven charges) will increase proportionally.

The distance a wheel can travel is proportional to its radius.

wheel radius(in.)      distance in 4 revolutions (in.)

4                                    32π

3.5                                 28π

0.25                               2π

The distance a wheel can travel in one revolution is equal to the circumference of the wheel. So, if we know the radius of the wheel, we can calculate its circumference using the formula:

circumference = 2π × radius

Then, we can use the circumference to find the distance the wheel can travel in a given number of revolutions by multiplying the circumference by the number of revolutions. In the table provided, we can see that for each wheel radius, the distance traveled in 4 revolutions is a multiple of the circumference of the wheel, which confirms that the constant of proportionality is the circumference.

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Sampling type which will yield a representative sample is stratified random sampling.

A representative sample is a subset of a population that seeks to accurately reflect the characteristics of the larger group. For example, a classroom of 30 students with 15 males and 15 females could generate a representative sample that might include six students: three males and three females.

This method uses stratified random sampling to help identify its components. Other methods can include random sampling and systematic sampling. A representative sample seeks to choose components that match with key characteristics in the entire population being examined.

Stratified random sampling is a method of sampling that involves the division of a population into smaller subgroups known as strata. In stratified random sampling, or stratification, the strata are formed based on members' shared attributes or characteristics, such as income or educational attainment.

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The total amount accrued, principal plus interest, with compound interest on a principal of $ 1,500.00 at a rate of 4.9 % per year compounded 1 times per year over 10 years is $2,420.17.

Using the compound interest formula is

Compound interest is calculated by multiplying the initial principal amount (P) by one plus the annual interest rate (R) raised to the number of compound periods (nt) minus one.

A= Total amount =?

P= Principal amount = 1500

r=Rate of interest =4.9 %=0.049

t= time =10years

n= compounding = annually =1

Using the above data and formula, we get:

First, convert R as a percent to r as a decimal

[tex]& \mathrm{r}=\frac{\mathrm{R}}{100} \\[/tex]

[tex]& \mathrm{r}=\frac{4.9}{100} \\[/tex]

[tex]& \mathrm{r}=0.049 \text { rate per year, }[/tex]

Then solve the equation for A

[tex]& \mathrm{A}=1,500.00\left(1+\frac{0.049}{1}\right)^{(1)(10)} \\[/tex]

[tex]& \mathrm{A}=1,500.00(1+0.049)^{10} \\[/tex]

[tex]& \mathrm{~A}=\$ 2,420.17[/tex]

The total amount accrued after 10 years is $2,420.17.

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The values of the means for the two types of glasses suggest about the shape of glasses used is 22ml on average.

When it comes to pouring drinks, bartenders are expected to pour a specific amount of liquid into each glass. However, there may be some variation in the amount poured depending on the shape of the glass. In this scenario, we have data on the actual amount poured by bartenders into a short, wide glass when asked to pour 44.3 ml. We will use this data to calculate the mean and standard deviation and interpret their values.

The mean is the average amount poured into the short, wide glass. To find the mean, we add up all the amounts poured and divide by the number of samples. Using the data provided, we get a mean of 57.889 ml, rounded to three decimal places.

However, the mean doesn't tell us the whole story. We also need to consider the standard deviation, which tells us how much the amounts poured vary from the mean.

To calculate the standard deviation, we first need to find the variance. We calculate this by subtracting the mean from each amount poured, squaring the differences, adding them up, and dividing by the number of samples minus one. Using the data provided, we get a variance of 479.716 ml², rounded to three decimal places.

To get the standard deviation, we take the square root of the variance. Using the data provided, we get a standard deviation of 21.904 ml, rounded to three decimal places.

Interpreting the values of the mean and standard deviation, we can say that a typical amount poured into a short, wide glass is 57.889 ml, while a typical deviation from the mean amount poured is 21.904 ml. This means that the amounts poured vary by about 22 ml on average, which could be due to differences in pouring technique or the shape of the glass.

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The area of the figure is given as follows:

100.56 mm².

The figure in this problem is composed as follows:

The areas for each region are given as follows:

Hence the total area is of:

48 + 14 + 20 + 6 + 12.56 = 100.56 mm².

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Answer:

Step-by-step explanation:

The gardener used 5/8 of the soil, which is equal to 10 * 5/8 = 10 * 0.625 = 6.25 pounds.

So, he used 6.25 pounds of soil in the garden.

The gardener had 10 - 6.25 = 3.75 pounds of soil left.

The solutions are given below.

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.

here, we have,

Part A

the dotted line formes the thrid side of the triangle.

part B

The length is the unknon side increases while kepping the known side lenths fixed, measuremnt of anggle Z will increas. So, the tringle will not fir the given conditions anymore.

part c

If the length of he unknown side decrases while keeping h known side lengths fixed,the measure of angle will decrease so he tringle will not fit the given conditions anymore.

part D

You know the given conditions for the triangle are fixed you also know the unknown side length is fixed. What dose the this tell you angles adjacent to the unknown side.

part e

The given condiction are fixed and the unknown side lenghtis fixed, the angles adjacent to the unknown side must much also be fixed.

part f

Given two side lengths and the measurement of the angle between them, only one triangle can be constructed. Part G The length of the unknown side (c) is 9.76 centimeters

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a) The probability that a hand will contain exactly 2 wild cards is 0.0246.

b) The probability of choosing a hand with seven yellow cards is 0.00056.

a) To find the probability that a hand will contain exactly 2 wild cards, we need to consider the number of ways we can choose 2 wild cards from 8 and the number of ways we can choose 5 non-wild cards from the remaining 100 cards. The total number of ways to choose 7 cards from 108 is:

C(108, 7) = 85,900,584

The number of ways to choose 2 wild cards from 8 is:

C(8, 2) = 28

The number of ways to choose 5 non-wild cards from the remaining 100 cards is:

C(100, 5) = 75,287,520

Therefore, the total number of ways to choose a hand with exactly 2 wild cards is:

28 * 75,287,520 = 2,108,196,160

The probability of choosing a hand with exactly 2 wild cards is:

2,108,196,160 / 85,900,584 ≈ 0.0246, or about 2.46%

b) To find the probability that a hand contains seven yellow cards, we need to calculate the number of ways we can choose 7 yellow cards from the 25 available, and divide this by the total number of ways to choose 7 cards from the 108 available. The number of ways to choose 7 yellow cards from 25 is:

C(25, 7) = 48,048

The total number of ways to choose 7 cards from 108 is:

C(108, 7) = 85,900,584

Therefore, the probability of choosing a hand with seven yellow cards is:

48,048 / 85,900,584 ≈ 0.00056, or about 0.056%

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The lines 4x+y=5 and 3x+12y=-6are neither parallel nor perpendicular

From the question, we have the following parameters that can be used in our computation:

4x+y=5 3x+12y=-6

Make y the subject in the equations

So, we have

y = -4x + 5

y = -1/4x - 1/2

The slopes of the lines are -4 and -1/4

These numbers are not equal and they are not opposite reciprocals

This means that the lines are neither parallel nor perpendicular

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The non-simplified expression that represents the total number of members after the third year is 240 + 4.5x.

The simplified expression that represents the total number of members after the third year is 4.5(53 + x).

Let's call the number of members from the other club "x".

After the first year, the total number of members is 20 + x, and it doubles to 2(20 + x) = 40 + 2x.

After the second year, half of the members from the other club leave, so there are 0.5x members left from the other club. And another 40 members join, so the total number of members is (40 + 2x - 0.5x) + 40 = 80 + 1.5x.

After the third year, the total number of members triples, so we have 3(80 + 1.5x) = 240 + 4.5x.

Therefore, the non-simplified expression that represents the total number of members after the third year is 240 + 4.5x.

To simplify, we can factor out 4.5 from the expression to get 4.5(53 + x). So the simplified expression that represents the total number of members after the third year is 4.5(53 + x).

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The requried correct expression 3x - 1 + 5x + 10x = 5 1/2, and solution of the equation is x = 7.5/18

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

The equation as written doesn't have a unique solution, as the left-hand side and right-hand side are not equal.

To correct the equation, you would need to provide more information about what you intended to do with the two equations and format the right-hand side of the equation properly. For example, if you meant to add the two equations, you could write,

3x - 1 + 5x + 10x = 5 + 2.5

18x = 7.5

x = 7.5/18

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 The slopes and y-intercepts can be used to determine the type of relationship between the lines, and therefore the number of solutions.

What is linear equation ?

Linear equation can be defined as the equation in which the highest degree is one.

The number of solutions for a system of linear equations depends on the relationship between the slopes and y-intercepts of the lines represented by the equations. If the lines are intersecting, then there is exactly one solution where the lines cross. If the lines are parallel, then there are no solutions, as the lines will never intersect.

If the lines are coincident, then there are infinitely many solutions, as the lines represent the same line.

Therefore,  The slopes and y-intercepts can be used to determine the type of relationship between the lines, and therefore the number of solutions.

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Answer:

yes

Step-by-step explanation:

Jayden measured a desk to be 4 feet. The actual measurement is 3. 2 feet. Jayden's percent error is 25%.

To calculate the percent error, we first need to find the difference between the measured value and the actual value, then divide that difference by the actual value, and multiply the result by 100 to express it as a percentage.

Jayden measured a desk to be 4 feet. The actual measurement is 3. 2 feet.

The difference between Jayden's measurement and the actual measurement is:

4 ft - 3.2 ft = 0.8 ft

The actual value is 3.2 ft, so the percent error is:

(0.8 ft / 3.2 ft) x 100% = 25%

Therefore, Jayden measured a desk to be 4 feet. The actual measurement is 3. 2 feet. Jayden's percent error is 25%.

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Answer:

Step-by-step explanation:

Answer: The length is 9 units and the width is 1 unit

Step-by-step explanation:

We can use the formula for the area of a rectangle to solve this problem. The formula is A = l * w, where A is the area, l is the length, and w is the width.

We have A = 9, and we know that w = l - 8. Substituting this into the formula, we get:

9 = l * (l - 8)

We can rearrange this to solve for l:

9 = l^2 - 8l

Adding 8l to both sides of the equation, we get:

9 + 8l = l^2

Subtracting 9 from both sides, we get:

8l = l^2 - 9

We can factor this to get:

l(l - 9) = 0

Since the product of two numbers is zero only when one of them is zero, we can set each factor equal to zero and solve:

l = 0 or l - 9 = 0

Adding 9 to both sides of the second equation, we get:

l = 9

Therefore, the length of the rectangle is 9 units.

Answer:

We can solve the above mathematical problem with the following approach.

We know that (a²-b²) = (a + b) (a - b).

So the given equation can be written as:

Answer:

Os = {W, X, Y, Z}

Step-by-step explanation:

The sample space for the experiment is the set of all possible outcomes, in this case, W, X, Y, and Z. It represents all the outcomes that can occur in a single trial of an experiment. The sample space is usually denoted as a set, and the elements in the set are the individual outcomes. In this case, the sample space is the set {W, X, Y, Z}.

Answer:

the answer is the last one

Step-by-step explanation:

os= {w, x, y, z}

Answer:

Step-by-step explanation:

because if you multipled 7 times 8 you will get 56 and if you add it with 45 you will get 101

i hope this help

After 8 weeks of saving, Alexa will have a total of $101. The expression to show the money Alexa saves in 'w' weeks is 45 + 7w.

The subject of this question is

Mathematics

and it is geared towards

Middle School

grades. To solve this problem, we need to use

algebraic expressions

. Based on the problem given, Alexa has $45 initially and saves $7 per week additionally from her after school job. So if she saves for 8 weeks, Alexa would have accumulated an additional $7 times 8 = $56. Therefore, the total amount of money Alexa would have after 8 weeks is her initial amount of $45 plus the additional $56, which equals $101. To represent this in terms of an expression, where 'w' stands for weeks, you can write 45 + 7w. This expression lets us calculate the total savings for any number of weeks 'w'.

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The measure of the smallest angle is 52 degrees

The complete question is added as an attachment

From the question, we have the following parameters that can be used in our computation:

The triangle

The sum of angles in a triangle is 180

So, we have

2x + 3x - 11 + 2x + 9 =  180

Evaluate the like terms

7x = 182

So, we have

x = 26

This means that

2x = 2 * 26 = 52

3x - 11 = 3 * 26 - 11 = 67

Hence, the smallest is 52 degrees

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Since Hank is allergic to chocolate, he cannot eat Reese's, Snickers, Hershey's bars, or any other type of chocolate candy.

Therefore, the only candy that Hank can eat is the Sour Patch Kids and Skittles.

The total number of Sour Patch Kids that Hank has is 5.

The total number of Skittles that Hank has is 6 packs, or 6 * the number of Skittles in one pack (let's assume it's 10 Skittles per pack). So, the total number of Skittles that Hank has is 6 * 10 = 60.

Adding the number of Sour Patch Kids and Skittles, the total number of candy that Hank can eat is 5 + 60 = 65.

The total amount of candy that Hank has is 8 Reece's + 12 Snickers + 5 Sour Patch Kids + 4 Hershey's bars + 6 packs of Skittles = 8 + 12 + 5 + 4 + 6 * 10 = 8 + 12 + 5 + 4 + 60 = 89.

The ratio of candy that Hank can eat to the total amount of candy he has is 65 / 89 = approximately 0.73, which can be expressed as a simplified fraction as 73 / 100.

Answer:

11:35

Step-by-step explanation:

no step by step explanation.