Choose the question that has only one possible answer.
A. How tall are you?
B. What are the lengths of the lizards in your backyard?
C. What are the heights of the people in your class

After answering the presented question, standard deviation t Lower bound = X - \((t * (s/\sqrt(n))) = 1271.89 - (1.860 * (34.753/\sqrt(9))) = 1238.94\)

A statistic that expresses the variability or variation of a bunch of values is the standard deviation. A high standard deviation indicates that the values are more distributed, whereas a low standard deviation indicates that the numbers are closer to the set mean. The standard deviation is a measure of how far the data are from the mean (or ). When the standard deviation is small, the data tends to cluster around the mean; when it is great, the data is more spread. The standard deviation represents the average variability of the data collection. It displays the average deviation from the mean of each score.

Next, we need to find the t-value for a 90% confidence interval with 8 degrees of freedom (n-1):

t = t(0.05, 8) = 1.860

Now we can calculate the lower and upper bounds of the confidence interval:

Lower bound = X - \((t * (s/\sqrt(n))) = 1271.89 - (1.860 * (34.753/\sqrt(9))) = 1238.94\)

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Answer:

Keep the circle closed like it is and draw an incresing line (towards the positive numbers)(basically towards the right) with the arrow at the end of it

Step-by-step explanation:

No, the expression (x^3 - 1) / (x^2 - 1) does not simplify to x.

To simplify the expression, let's first factorize both the numerator and denominator.

The numerator can be factorized using the difference of cubes formula: a^3 - b^3 = (a - b)(a^2 + ab + b^2). So, we have (x^3 - 1) = (x - 1)(x^2 + x + 1).

The denominator is a difference of squares: a^2 - b^2 = (a - b)(a + b). Therefore, (x^2 - 1) = (x - 1)(x + 1).

Now, we can simplify the expression by canceling out the common factors in the numerator and denominator:

[(x - 1)(x^2 + x + 1)] / [(x - 1)(x + 1)]

The (x - 1) terms cancel out, leaving us with:

x^2 + x + 1 / (x + 1)

So, the simplified form of the expression is (x^2 + x + 1) / (x + 1), which is not equal to x.

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A 1.5 standard deviations above the mean IQ score is 122.5.

An expression that depicts the relationship between two or more numbers and variables is called an equation.

A dependent variable is one that depends on another variable, whereas an independent variable does not depend on any other variable for its value.

Giving the z score are:

z is calculated as (raw score - mean) / standard deviation.

with a standard deviation of 15 and a mean of 100. The z-score of 1.5 is equal to the IQ score that is 1.5 standard deviations above the mean, so:

1.5 = (x - 100)/15

x = 122.5

A 1.5 standard deviations above the mean IQ score is 122.5.

The Complete Question is IQ score.

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The value of x in the triangles are 9.

For variable x : ax² + bx + c = 0, where a≠0 is a standard quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.

Given:

The triangles are congruent.

That means, their corresponding angles are also congruent.

In ΔJKL,

the sum of all the angles of the triangle is 180°.

So,

x²-2x + x + 29 + 3x + 52 = 180

x² + 2x - 99 = 0

Solving the quadratic equation,

x² +11x - 9x - 99 = 0.

x (x + 11) -9 (x + 11) = 0

x = 9 and x = -11

Here, we take x = 9.

Therefore, the value of x is 9.

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Answer: ∠16 and ∠11

Step-by-step explanation:

      All of these answer options include ∠16, so we know we're looking for an angle that is corresponding to ∠16. A corresponding angle is an angle that is in the same relative position. We will look at ∠9, ∠11, ∠2, and ∠12 since those are the given answer options, and see which is corresponding.

The correct corresponding angles are ∠16 and ∠11.

x<=4

x is less than or equal to four

children less than or equal to four can ride the train for free

The equation is s² = 8100, where s is the side length of the square park in meters.

The area of a square is given by the formula A = s², where s is the length of one side. If we know the area of a square, we can determine the length of one side by taking the square root of the area.

In this case, the area of the park is given as 8100 square meters, so we can write an equation to determine the side length, s, as follows:

which can be rearranged as:

Taking the square root of 8100 gives a side length of approximately 90.044 meters.

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Step-by-step explanation:

the area of a rectangle is

length × width.

in our case that is

(7/3 × b + 21) × (3/7 × b) =

= 7/3 × 3/7 × b × b + 21 × 3/7 × b =

= 1 × b² + 3×3 × b = b² + 9b = b(b + 9) ft²

so, the area is

b² + 9b = b(b + 9) ft²

remember, an area is always a square "something".

a volume a cubic "something".

so, when the lengths are given in feet, the areas are square feet or ft².

Answer:

the number is 788......

Answer:

Step-by-step explanation:

considering A). hemisphere diameter = 48 yd

volume of hemisphere = (2/3)*pi*(r)^3

the radius of hemisphere = diameter/2 = 48/2 = 24 yd

hence, the volume of hemisphere = (2/3)*pi*(24)^3  yd^3

taking pi = 3.14

volume = 28938.24 yd^3 approximately volume = 28940 yd^3

considering B). Circumference of a great circle = 26 m

circumference of sphere = 2*pi*r

therefore r = 4.14 m

volume of sphere = (4/3)*pi*(r)^3

volume of sphere = 297.077 m^3

Answer:

24. A. 28952.9 yd²

B. 297.2 m³

Step-by-step explanation:

24.

A.

diameter=48 yd

radius (r)=diameter/2=48/2=24yd

We have

Volume of Hemisphere= ⅔*πr³=⅔*π*r³

Substituting value

Volume of Hemisphere=⅔*π*24³=28952.9 yd³

B.

Circumference of great circle=2πr=26m

2πr=26

r=26/(2π)

r=4.14

Now

Volume of sphere = 4/3*πr³

Volume of sphere=4/3*π*4.14³=297.2 m³

For the fractions, the calculation of 3/5 of 2/3 of 3/4 of 560 is equal to 168.

To calculate 3/5 of 2/3 of 3/4 of 560, break it down step by step:

Step 1: Calculate 3/4 of 560:

3/4 × 560 = (3 × 560) / 4 = 1680 / 4 = 420

Step 2: Calculate 2/3 of the result from Step 1:

2/3 × 420 = (2 × 420) / 3 = 840 / 3 = 280

Step 3: Calculate 3/5 of the result from Step 2:

3/5 × 280 = (3 × 280) / 5 = 840 / 5 = 168

Therefore, 3/5 of 2/3 of 3/4 of 560 is equal to 168.

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About 24 ,758 years have passed since the cave drawings were created.

If one's age is x now, one's age will be nx in the future. Age n years from now equals x + n if the age at currently is x. Age n years ago equals x - n if the current age is x. The ages will be ax and bx in the ratio a: b.

The time since birth, which is typically expressed as an exact number of years or a finished number of years, is known as a person's chronological age.

A is the current sum.

A0 is the original sum.

A0 = A0 A0 = A0 0.05 e-0.000121t

A / A0 = e-0.000121t

0.05 = e-0.000121t, 0.05 = ln e-0.000121t, 0.05 = -0.000121t, 0.05 = e, and 0.05 = -0.000121t, respectively.

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The artwork is 24,758 years old, according to the exponential equation's solution.

Exponents are frequently referred to as strengths or indices. In plain English, a power expression is one that depicts the same number being multiplied repeatedly, whereas an exponent is a quantity that depicts the powers to which the value is increased.

A = current amount

A₀ = original amount

0.05 A₀ = A

A = A₀ \(e^{-0.000121t}\)

A / A₀ = \(e^{-0.000121t}\)

0.05 = \(e^{-0.000121t}\)

ln 0.05 = ln \(e^{-0.000121t}\)

ln 0.05 = -0.000121t ln e

ln 0.05 = -0.000121t

-2.9957 ≈ -0.000121t

24758.11 ≈ t

About 24,758 years have passed since the cave drawings were created.

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Answer:

B

Step-by-step explanation:

B

x - 4 squared provides 2 real zeros that are the same. These two are not distinct.

The other two come from x^2 - 7x + 10 which has a discriminate of

sqrt(7^2 - 4*1*10) = sqrt(9) = +/- 3 leading to something real and different.

Answer:

B. The function has three distinct real zeros.

Step-by-step explanation:

For all Plato users

Answer:

−30+(−40)+(−70) = -140

Step-by-step explanation:

−30+(−40)+(−70) = -140

Answer:

not what im looking for

Step-by-step explanation:

The independent Variable in the situation presented in the table is the temperature (T), which is measured in degrees Celsius (°C), and the dependent variable is the volume (V), which is measured in milliliters (mL).

The table above illustrates the relationship between the temperature of a substance and its volume. The independent variable is the temperature of the substance and the dependent variable is the volume of the substance.

The symbol or name used to represent the independent variable is "T" for temperature and its units are given as degrees Celsius or °C.The symbol or name used to represent the dependent variable is "V" for volume, and its units are given as milliliters or mL.

The temperature is the independent variable as it is being manipulated in the experiment while the volume is dependent on the temperature as it is changing based on the temperature.

An independent variable is a variable in an experiment that is being manipulated by the experimenter, while the dependent variable is the variable that is being measured in response to changes in the independent variable.

In summary, the independent variable in the situation presented in the table is the temperature (T), which is measured in degrees Celsius (°C), and the dependent variable is the volume (V), which is measured in milliliters (mL).

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Note that the limit of the expression as x approaches infinity is 1/2.

start by multiplying both the numerator and denominator by the conjugate  expression

√ (x ² - 9x + 1) + x,

this will eliminates the root in the numerator

lim x->∞ [(√(x ² - 9x + 1) - x)  * (√(x² - 9x + 1) + x)] / (√(x² - 9x + 1) + x)

Expanding the numerator

lim x- >∞ [(x² - 9x + 1) - x^2] / (√(x² - 9x + 1) + x)

Simplifying further:

lim x->∞ [(1 - 9/x + 1/ x²)] / (√(1 - 9/x + 1 /x²) + 1)

we can see that the 1/x ² term approaches zero, and the expression simplifies to

lim x->∞ [(1 - 0)]  / (√(1 - 0) + 1)

= 1/2

So it is correct to state that the limit of the expression as x approaches infinity is 1/2.

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Answer:

9 steps for the rope ladder

Step-by-step explanation:

The width of each step of the ladder 2 1/3 feet=2(3)+1 over three=7/3 feet

The length of the rope = 21 feet

Answer

The missing value is -14

Step-by-step explanation:

First you make a ratio or proportion: -4/6=x/21

Then you cross multiply

-4x21 which is -84 then 6 times x which is 6x  then the equation becomes 6x=-84

       from 6x you divide which becomes x=-84/6 which is -14

Pls give brainliest! have a good day I suggest a website that helps kids which is called Khan Academy. It is free and helps your kid study and learn! :)

More info:

A proportion is simply a statement that two ratios are equal. It can be written in two ways: as two equal fractions a/b = c/d; or using a colon, a:b = c:d. The following proportion is read as "twenty is to twenty-five as four is to five."

Answer:

-0.286

Step-by-step explanation:

1 5/7 = 1.7143

1.7143/-6 = -0.286

Answer:

x = 30° and 330°

Step-by-step explanation:

Assuming the intervals is {0 , 2π} or {0° , 360°}

\(tan\ x=\frac{-\sqrt{3} }{3} \\\\x=tan^{-1} (\frac{-\sqrt{3} }{3})\\\\x = -30\)

So it means it lies in the 2nd and 4th quadrant because tangent is negative in the 2nd and 4th quadrant

so the two solutions are

x = 30° and 330° or

\(x=\frac{\pi }{6}\ radians\ \ , \ \ \frac{11\pi }{6}\ radians\)

Answer:

Step-by-step explanation:

\(\frac{3}{5} +\frac{1}{4} +\frac{3}{8} =\) Distance Janie walked

First add \(\frac{1}{4} and\frac{3}{8}\) canvert 1/4 by multiplying by 2/2 to get a commmon denominator.

\(\frac{1}{4} *\frac{2}{2} =\frac{2}{8}\)

\(\frac{2}{8} +\frac{3}{8} =\frac{5}{8}\)

Now find a common denominator for 3/5 and 5/8 by multiplying 3/5 by 8/8  and 5/8 by 5/5.

\(\frac{3}{5}*\frac{8}{8}=\frac{24}{40}\)

\(\frac{5}{8}*\frac{5}{5}=\frac{25}{40}\)

Now add them.

\(\frac{24}{40}+\frac{25}{40}=\frac{49}{40}=1\frac{9}{40}\)miles

You can also convert all to decimals and add.

3/5 = .6

1/4 = .25

3/8 = .375

.6 + .25 + .375 = 1.225

Also 1 \(\frac{9}{40}\) = 1.225

The sales tax rate that Blake pay on the clothes he buys is correctly given by: Option D: 5%

The sales tax rate is the rate at which the sales tax is applied.
Total payable amount = Original amount + sales tax on that amount.

We are given that:

He(Blake) works in Illinois, but he buys all of his clothes at a store in Wisconsin.

So, the sales tax rate will be applied according to the rate of Wisconsin.

From the table, we see that the sales tax rate of Wisconsin is 5%.

Thus, the sales tax rate that Blake pay on the clothes he buys is correctly given by: Option D: 5%

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Answer:

5%

Step-by-step explanation:

Answer:

$54.87

Step-by-step explanation:

The area of the triangular garden is (1/2) x base x height = (1/2) x 6 x 5 = 15 square feet.

The area of the rectangular mulch area is base x height = 12 x 9 = 108 square feet.

The total area to be covered with mulch is 108 - 15 = 93 square feet.

The cost of the mulch is $0.59 per square foot, so the total cost is 93 x $0.59 = $54.87.

Therefore, the total cost of the mulch will be $54.87.

Answer:

(7)(7)(1)=49 mm^3

Step-by-step explanation:

Answer:

49mm³

Step-by-step explanation:

\(v = 7mm \times 7mm \times 1mm = 49m {m}^{3} \)

Answer:

a) 3m + 4 = 6m is false.

Step-by-step explanation:

A) 3m + 4 = 6m

→ 3(6) + 4 = 6(5)

→ 18 + 4 = 30

→ [ 22 ≠ 30 ]

So, the equation is false.

B) -5(t - 7) = 10

→ -5(5 - 7) = 10

→ -5 × -2 = 10

→ [ 10 = 10 ]

So, the equation is true.

C) 17 = 4x - 3

→ 17 = 4(5) - 3

→ 17 = 20 - 3

→ [ 17 = 17 ]

So, the equation is true.

D) t + 9 = 14

→ 5 + 9 = 14

→ [ 14 = 14 ]

So, the equation is true.