The points (6, 9) and (8, 11) fall on a particular line. What is its equation in slope-intercept form?

Answer:

1.75 gallons

Step-by-step explanation:

First, we need to calculate how far the hike is going up the trail. They first hike 2 miles and then another 1.75 miles after resting so...

2 + 1.75 = 3.75 miles

The trail is 3.75 miles long, the question states that the return path is 0.5 miles shorter, therefore...

3.75 - 0.5 = 3.25 miles

Leaving us with a total hiking distance of

3.75 + 3.25 = 7 miles.

Since each hiker will carry 0.25 gallons for each mile we simply need to multiply this amount by the total number of miles in the hike.

7 * 0.25 = 1.75 gallons

Finally, we can see that each hiker will carry a total of 1.75 gallons of water for the entire hike.

Three combination of gift card you have purchased is 1 gift card for $10 and 14 gift card for $15 ; 4 gift card for $10 and 12 gift card for $15; 16 gift card for $10 and 4 gift card for $15

Mathematical expressions can be used to depict situations or issues, and algebra is the field of mathematics that does this. For a mathematical expression to have meaning, it needs to include variables like x, y, and z as well as mathematical operations like addition, subtraction, multiplication, and division. Algebra is used in every area of mathematics, including coordinate geometry, calculus, and trigonometry. A straightforward algebraic expression is 2x + 4 = 8.

10 + 210 = 220

40 + 180 = 220

160 + 60 = 220

Three combination of gift card you have purchased is 1 gift card for $10 and 14 gift card for $15 ; 4 gift card for $10 and 12 gift card for $15; 16 gift card for $10 and 4 gift card for $15

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Answer:

270 cm

Step-by-step explanation:

LA = (6+6+6)15

LA = 18(15)

LA = 270

Answer:

Step-by-step explanation:

1. area of square=10²=100 cm²

area of circle=πr²=π×2.5²=6.25π cm²

reqd. area=100-6.25π ≈80.375 cm²

2.

area of circle=π×2.5²=6.25π≈6.25×3.14≈19.625 cm²

area of rectangle=4×3=12 cm²

reqd. area=19.625-12≈7.625 cm²

3.

area of two circles=2×π×3²=18π≈18×3.14≈56.52 cm²

area of square=12²=144 cm²

reqd. area=144-56.52≈87.48 cm²

4.

area of smaller circle=π×4²=16π cm²

area of bigger circle=π×8²=64π cm²

area of two circles=16π+64π=80π cm²

diameter of bigger circle=4+4+8+8=24 cm

diameter of biggest circle=π×12²=144π

area of shaded region=144π-80π=64π≈200.96 cm²

Answer:

yes

Step-by-step explanation:

16oz is 1 pound so if we divide 16 by 2 we get 8 add back on the oz and that's your answer

for further help contact me or a verified teacher

Answer:

(c) Paul's model predicts a score of 51 for 3 hours

(d) 30 represents the y intercept

Step-by-step explanation:

Given

\(y = 7x + 30\)

Solving (c): What is y when x is 3

Substitute 3 for x in \(y = 7x + 30\)

\(y = 7*3 + 30\)

\(y = 21 + 30\)

\(y = 51\)

Solving (d): What does 30 represent

An equation is represented as:

\(y = mx + b\)

Where

\(b = y\ intercept\)

Compare: \(y = mx + b\) to \(y = 7x + 30\)

\(b = 30\)

This implies that 30 represents the y intercept

Answer:

The answer is 91

since, The Probability is P(5'3" < X < 5'10")  = 91%

Step-by-step explanation:

We assume that the heights follow a normal distribution such that we can use the z-table

Mean = M = 5'6" = 66"

Standard Deviation = S = 2"

We have to find the probability for 5'3" = 60 + 3 = 63" and 5'10" = 60 + 10 = 70" and then subtract them to get the probability of being in between.

To find the probability, we have to find the z-score and then look up the value corresponding to it to get the probability

for 5'3"

P(X < 5'3"),

Calculating the z-score,

z = (x - M)/S

z = (63 - 66)/2

z = -3/2

z = -1.5

Finding the value,

= 0.0668

So,

P(X < 5'3") = 0.0668

for 5'10"

P(X < 5'10"),

Calculating  the z score,

z = (x - M)/S

z = (70 - 66)/2

z = 4/2

z = 2

And looking up the corresponding value we get,

= 0.9772

P(X < 5'10") = 0.9772

The probability in between is then,

P(5'3" < X < 5'10") = P(X < 5'10") - P(X < 5'3")

= 0.9772 -  0.0668 = 0.9104

so,

P(5'3" < X < 5'10")  = 0.9104 = 91.04%

For whole number,

P(5'3" < X < 5'10")  = 91%

The fraction of this week's allowance spent on gummy bears is 56/x. The money spent on candy will be 3/4x. Now, out of the total amount spent on candy, 56 were spent on gummy bears.

Given that,

56 was spent on gummy bears.
I spent 3/4 of this week's allowance on candy.
Let the week's allowance be x
Therefore, money spent on candy = 3/4 of x = (3/4)x
To find:

A fraction of this week's allowance is spent on gummy bears.
Now, we know that 56 was spent on gummy bears.

Therefore, the fraction of this week's allowance spent on gummy bears is 56/x.

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Answer:

3

Step-by-step explanation:

There are 4.5 diamonds, which represent 9 hours in total.

This corresponds to 9/3 = 3 circles.

Answer:

3 circles

Step-by-step explanation:

For the pig, it's 4.5 squares. Each square is two hours, and 4.5*2 is 9. Each circle is 3 hours, and 9 divided by 3 is 3. Therefore, the answer is 3 circles.

Answer:

900

Step-by-step explanation:

A=S^2

50265=SxS

S=√50265

S=225

P=Sx4

P=225x4

P=900

Answer: 816.4 \(ft^2\)

Step-by-step explanation: The formula is A=2\(\pi\)rh

The mathematical equation that represents the area of a circle as the product of pi/4 and the square of the diameter is:

A = π/4 × d^2

where A is the area of the circle, π is the mathematical constant pi, d is the diameter of the circle.

The area of a circle is the amount of space that is enclosed by the circle's boundary. It is given by the formula A = πr^2, where r is the radius of the circle. However, the diameter is simply twice the radius, so we can substitute d = 2r into the formula to obtain A = π(2r)^2/4 = π/4 × d^2, which is the desired equation.

This formula can be used to calculate the area of a circle given its diameter.

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Answer:

1.

a. 70

b.40

c.130

d.130

e.95

f.115

2.

a.102

b.40

c.80

Hope it helps .

plz mark me brainest and follow me to get the answer faster.

Step-by-step explanation:

1.

a. Isosceles right triangle

a° = 180 - (90 + 20)

a° = 180 - 110 = 70

b. Isosceles acute triangle

a° = 180 - (70+70)

a° = 180 - 140 = 40

c. The three angles inside a triangle always add up to 180°

∠A = 180 - (70 + 60)

∠A = 180 - 130

∠A = 50

so a° = 180 - 50 = 130

d. Isosceles acute triangle

∠A = 180 - (65 + 65)

∠A = 180 - 130

∠A = 50

so a° = 180 - 50 = 130

e. The angles of a rectangle add up to 360°

a° = 360 - (100 + 95 + 70)

a° = 360 - 265

a° = 95

f. The angles of a rectangle add up to 360°

2a° = 360 - (70 + 60)

2a° = 360 - 130

2a° = 230

a° = 115

2.

a. Straight angle is 180°

180 - 141 = 39

so x° = 180 - (39 + 39)

x° = 180 - 78

x° = 102

b. The three angles inside a triangle always add up to 180°

180 - (40 + 60)

180 - 100 = 80

opposite angle

x° = 180 - (80 + 35)

x° = 180 - 115 = 65

c. The angles of a rectangle add up to 360°

(x + 20)° + x° = 360 - (90 + 90)

(x + 20)° + x° = 360 - 180

(x + 20)° + x° = 180

x° = 80

please give me a brainliest answer

Answer:

x = 50°

Step-by-step explanation:

the sum of the exterior angles of any polygon is 360°

2x-12 + 32 + 2x + x + 90 = 360

5x + 110 = 360

5x = 250

x = 50

Hi!

Use the Slope Formula:

\(\begin{gathered}\\\bullet\implies\boldsymbol{\displaystyle\frac{y_2-y_1}{x_2-x_1}} \\\\\boldsymbol{Setting\:the\:Values}\\\bullet \boldsymbol{y_2=3}\\\bullet\boldsymbol{x_2=8}\\\bullet\boldsymbol{y_1=3}\\\bullet\boldsymbol{x_1=-2}\\\\\boldsymbol{Solving\:for\:the\:slope}\\\boldsymbol{\displaystyle\frac{3-3}{8-(-2)}}\\\boldsymbol{\dfrac{0}{8+2}}\\\boldsymbol{Slope\longrightarrow0}\end{gathered}\)

I hope I helped! ^^

Answer:

2.4 m

Step-by-step explanation:

1 meter is equal to 1000 millimeters

So 2.4 meters is bigger since just 1 meter is bigger that 240mm

Hopes this helps please mark brainliest

Answer:

2.4 m

-------------------------------------------------------------------------------------------------------------

Step-by-step explanation:

Let's test it out by converting each one to inches

To convert meters to inches, multiply the length value by 39.37

2.4 x 39.37 = 94.4882 inches

To convert millimeters into inches, divide the length value by 25.4

240/25.4 = 9.44882 inches

94.4882 > 9.44882

So, 2.4m > 240mm

-------------------------------------------------------------------------------------------------------------

Answer: 2.4 m

The expected value of a dataset is the mean or average of the dataset.

The cube is expected to land on a 2 or 3 a total of 40 times

The cube is said to be numbered from 1 to 6.

This means that, the probability of getting each number is 1/6.

So, the probability that the outcome is 2 or 3 is:

\(P(2\ or\ 3) = P(2) + P(3)\)

This gives

\(P(2\ or\ 3) = \frac 16 + \frac 16\)

Add fractions

\(P(2\ or\ 3) = \frac {1+1}6\)

\(P(2\ or\ 3) = \frac 26\)

Simplify

\(P(2\ or\ 3) = \frac 13\)

The number of rolls (n) is 120.

So, the expected value is:

\(E(x) = np\)

This gives

\(E(x) = 120 \times \frac 13\)

\(E(x) = 40\)

Hence, the cube is expected to land on a 2 or 3 a total of 40 times

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The sampling distribution of the sample mean can be approximated by a normal distribution by the Central Limit Theorem (CLT) since the sample size is 30.

The Reeses candy company claims that 52% of the Reese's pieces are orange. Assume the company's claim is true. Let X = the number of orange candies in a sample of 30.a) Mean of the sampling distribution of X \[\mu = np = 30 × 0.52 = 15.6\]Standard deviation of the sampling distribution of X \[\sigma = \sqrt {npq} = \sqrt {30 × 0.52 × 0.48} \] \[\sigma \approx 2.12\]b) Standard deviation shows how much the sample proportion varies from the true population proportion, on average. Here, the standard deviation is 2.12, which means that when you take repeated random samples of 30, the sample proportion of orange candies will typically vary by about 2.12 percentage points from the true population proportion of 52%.c) The shape of the sampling distribution of X can be approximated by a normal distribution since the sample size is 30 and np and nq are both greater than 10. Thus, the Central Limit Theorem (CLT) is applicable.d) \[P (X ≤ 12)\] = \[P\left( \frac {X-\mu}{\sigma}\le \frac {12-15.6}{2.12} \right)\] = \[P(z\le -1.679)\] Using standard normal distribution table, we get \[P(z\le -1.679) = 0.0455\]Therefore, the probability that a sample of 30 Reese's pieces would have 12 or less orange candies is 0.0455.2. Let \[\hat{p}\] = the proportion of orange candies in a sample of 30.a) Mean of the sampling distribution of \[\hat{p}\] \[\mu_{\hat{p}}= p=0.52\] Standard deviation of the sampling distribution of \[\hat{p}\] \[\sigma_{\hat{p}} = \sqrt {\frac {pq}{n}} = \sqrt {\frac {0.52 × 0.48}{30}} \] \[\sigma_{\hat{p}} \approx 0.098\]b) Standard deviation shows how much the sample proportion varies from the true population proportion, on average. Here, the standard deviation is 0.098, which means that when you take repeated random samples of 30, the sample proportion of orange candies will typically vary by about 9.8 percentage points from the true population proportion of 52%.c) Since np and nq are both greater than 10, the shape of the sampling distribution of \[\hat{p}\] can be approximated by a normal distribution by CLT.d) \[P(\hat{p} \le 0.40) \] = \[P\left( z \le \frac {0.40-0.52}{0.098} \right) \] = \[P(z\le -1.2245) \] Using standard normal distribution table, we get \[P(z\le -1.2245) = 0.1103\]Therefore, the probability that a sample of 30 Reese's pieces would have a sample proportion, p^, of 0.40 or less orange candies is 0.1103.3. Given that the company claims that the average weight of each piece is μ = 0.8 grams with a standard deviation of σ = 0.05 grams. Let x be the weight of one piece of candy. Therefore, \[\mu_{\bar{x}}=\mu=0.8\] and \[\sigma_{\bar{x}} = \frac {\sigma}{\sqrt{n}} = \frac {0.05}{\sqrt{30}} \] \[\sigma_{\bar{x}} \approx 0.0091\]b) The standard deviation of the sampling distribution of the sample mean is 0.0091. It tells us how much the sample means vary from the true population mean, on average.c) The sampling distribution of the sample mean can be approximated by a normal distribution by the Central Limit Theorem (CLT) since the sample size is 30.

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Answer:

0.9168

Step-by-step explanation:

From the data given:

Mean = 110

standard deviation = 5

Let consider a random sample n =49 which have a mean between 109 and 112.

The test statistics can be computed as:

\(Z_1 = \dfrac{x- \bar x}{\dfrac{\sigma}{\sqrt{n}}}\)

\(Z_1 = \dfrac{109- 110}{\dfrac{5}{\sqrt{49}}}\)

\(Z_1= \dfrac{-1}{\dfrac{5}{7}}\)

\(Z_1\)  = -1.4

\(Z_2= \dfrac{x- \bar x}{\dfrac{\sigma}{\sqrt{n}}}\)

\(Z_2 = \dfrac{112- 110}{\dfrac{5}{\sqrt{49}}}\)

\(Z_2 = \dfrac{2}{\dfrac{5}{7}}\)

\(Z_2 =2.8\)

Thus; P(109  <  \(\overline x\)  <  112) = P( - 1.4 < Z < 2.8)

= P(Z < 2.8) - P( Z < -1.4)

= 0.9974 - 0.0806

= 0.9168

Answer:

x = 7 and - 1

Step-by-step explanation:

f(x) = (x - 7) (x + 1)

x - 7 = 0

x - 7 + 7 = 0 + 7

x = 7

x + 1 = 0

x + 1 - 1 = 0 - 1

x = - 1

Despite being aware of his impending death, John Steinbeck was engaged in a project to build a house.

During the final stages of his life, John Steinbeck, the renowned American author, was involved in a project to build a house. Despite the knowledge of his terminal condition, he focused his efforts on this endeavor. The act of building a house can be seen as a significant undertaking that requires planning, coordination, and dedication.

While specific details about the house project are not provided, it can be inferred that Steinbeck's involvement in this venture reflected his enduring spirit and determination, even in the face of his impending mortality. Building a house is a symbol of creation, stability, and leaving a lasting legacy. It is a testament to Steinbeck's unwavering passion for life and his commitment to pursue meaningful endeavors until the very end.

Although Steinbeck's literary contributions are widely celebrated, his engagement in the house-building project during his final days showcases his multidimensional nature and his desire to leave a tangible mark on the world. It serves as a reminder of the resilience of the human spirit and the power of pursuing personal projects and dreams, even in challenging circumstances.

In conclusion, despite being aware of his impending death, John Steinbeck dedicated his time and energy to a project of building a house, showcasing his determination and commitment to leaving a lasting legacy.

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Answer:

≈103.12

Step-by-step explanation:

Answer:

The points on the graph of the parabola y = x^2 that are closest to the point (22,12) are approximately (-2.768, 7.665), (-0.193, 0.037), and (10.961, 120.162).

Step-by-step explanation:

To find the coordinates of the points on the graph of the parabola y = x^2 that are closest to the point (22,12), we need to minimize the distance between the point (22,12) and any point on the parabola.

The distance between two points (x1, y1) and (x2, y2) is given by the formula:

distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)

For our problem, we want to minimize the distance between (22,12) and any point (x, x^2) on the parabola y = x^2.

So, we need to minimize the following function:

f(x) = sqrt((x - 22)^2 + (x^2 - 12)^2)

To find the minimum, we can take the derivative of f(x) with respect to x, set it equal to 0, and solve for x.

Let's go through the steps:

1. Calculate the derivative of f(x) with respect to x:

f'(x) = 2(x - 22) + 2(x^2 - 12)x

2. Set f'(x) equal to 0 and solve for x:

2(x - 22) + 2(x^2 - 12)x = 0

Expanding and rearranging the equation:

2x - 44 + 2x^3 - 24x = 0

2x^3 - 22x - 44 = 0

3. Solve the cubic equation for x. This can be done numerically using methods like Newton's method or using a computer algebra system.

Solving this equation, we find three real solutions:

x ≈ -2.768, x ≈ -0.193, x ≈ 10.961

These values of x correspond to the x-coordinates of the points on the parabola that are closest to the point (22,12).

4. Plug these x-values back into the equation y = x^2 to find the y-coordinates:

For x ≈ -2.768, y ≈ (-2.768)^2 ≈ 7.665

For x ≈ -0.193, y ≈ (-0.193)^2 ≈ 0.037

For x ≈ 10.961, y ≈ (10.961)^2 ≈ 120.162

Therefore, the points on the graph of the parabola y = x^2 that are closest to the point (22,12) are approximately (-2.768, 7.665), (-0.193, 0.037), and (10.961, 120.162).

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Answer:

ab-ac

Step-by-step explanation:

If you distribute the a to both of the numbers, the above is the answer

\(a*b+a*-c\\ab-ac\)

On solving the provided question we can say that by null hypothesis There is insufficient proof to conclude that student attendance has changed.

A null hypothesis is a kind of statistical hypothesis that asserts that a specific set of observations has no statistical significance. Using sample data, hypotheses are tested to determine their viability. Sometimes known as "zero" and symbolized by H0. Researchers start off with the presumption that there is a link between the variables. In contrast, the null hypothesis claims that there is no such association. Although the null hypothesis may not appear noteworthy, it is a crucial component of research.

This is a z-test for a proportion.

\(H0:p=.34 H1:p not=.34\\\alpha=0.01 ... this is a\\2-tailed test\\critical values are +2.58, -2.58\\p=.34 (given) q=1-p=.66\\p^=.33\\z=(p^-p)/sqrt(pq/n)\\z=(.33-.34)/sqrt(.34*.66/8302)\\z=-.01/.0051961\\z=-1.92\)

1.96 does not fall in the reject region

There is insufficient proof to conclude that student attendance has changed.

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The exact value of sin(cos^-1(2/5)) is √21 / 5.

We know that cos(cos^-1(x)) = x for all x in [-1, 1]. Hence,

cos(cos^-1(2/5)) = 2/5

Now we need to find sin(cos^-1(2/5)).

We can use the identity sin^2(x) + cos^2(x) = 1 and substitute cos(x) = 2/5 to get:

sin^2(cos^-1(2/5)) + cos^2(cos^-1(2/5)) = 1

sin^2(cos^-1(2/5)) + (2/5)^2 = 1

sin^2(cos^-1(2/5)) = 21/25

Taking the positive square root (since sine is positive in the first and second quadrants), we get:

sin(cos^-1(2/5)) = √(21/25)

= √21 / 5

Therefore, the exact value of sin(cos^-1(2/5)) is √21 / 5.

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Answer:

A-1008

B-1708

Step-by-step explanation:

8% of 700= 56

56x18=1008

700+1008=1708

Simple interest formula:

Interest = principal x rate x time

Principal = $700

Rate = 8% = 0.08

Time = 18/12 = 3/2

Interest = 700 x 0.08 x 3/2

Interest = $84

Total to pay back = 700 + 84 = $784

The correct answer is:

greater than zero for all values of x.

Probability is a way of evaluating how likely something is to happen. Several things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is. Probability can range from 0 to 1, with 0 denoting an impossibility and 1 denoting a certainty.  One is the probability of every event in a sample space.

Now in the given question ,

A probability density function (PDF) of a continuous random variable x is a function that describes the relative likelihood of x taking on different values in a continuous range. The PDF is defined such that the area under the curve between any two values a and b represents the probability of x being in that range, i.e., P(a ≤ x ≤ b).

Since probabilities are non-negative, the PDF of a continuous random variable must also be non-negative. That is, f(x) > 0 for all values of x. This condition ensures that the area under the curve is non-negative, which is necessary for it to represent a valid probability distribution.

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Answer: -19, -17, -15

Step-by-step explanation:

Suppose the smallest integer is x. The next odd integer would be x+2. The next odd integer after that would be x+4.

Ex. 1, 1+2, 1+4

Now the sum of these three integers equal -51, so x+x+2+x+4=-51

3x+6=-51

3x=-57, x = -19

Now add 2 and 4 to get the next two numbers. -17 and -15