Find the TOTAL surface area.
*
41 cm
18 cm
18 cm

Answer:

P'(4, 5)   Q'(5, 3)   R'(1, 1)

Step-by-step explanation:

When rotating a point 90 degrees counterclockwise about the origin our point T(x,y) becomes T'(-y,x).

The diameter of the circle is approximately 60 inches.

To explain further, we can use the formula relating the central angle of a sector to the length of its intercepted arc. The formula states that the length of the intercepted arc (A) is equal to the radius (r) multiplied by the central angle (θ) in radians.

In this case, we are given the central angle (225 degrees) and the length of the intercepted arc (30π inches).

To find the diameter (d) of the circle, we need to find the radius (r) first. Since the length of the intercepted arc is equal to the radius multiplied by the central angle, we can set up the equation 30π = r * (225π/180). Simplifying this equation gives us r = 20 inches.

The diameter of the circle is twice the radius, so the diameter is equal to 2 * 20 inches, which is 40 inches. Therefore, the diameter of the circle is approximately 60 inches.

In summary, by using the formula for the relationship between central angle and intercepted arc length, we can determine the radius of the circle. Doubling the radius gives us the diameter, which is approximately 60 inches.

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JK=LM (line from any point of circumference to another pointer of circumference)

Answer:

Step-by-step explanation:

use the y=mx+b^2 formula

The test statistic is given by Z = (p1 - p2) / SE = [(690 / 700) - (472 / 700)] / 0.027 ≈ 7.62For α = 0.07, the critical value of Z for a two-tailed test is Zα/2 = 1.81 Rejection region: |Z| > Zα/2 = 1.81. Since the calculated value of Z (7.62) is greater than the critical value of Z (1.81), we reject the null hypothesis.

In this question, we have to perform hypothesis testing for two independent binomial populations using the two-sample z-test. We need to test the hypothesis H0: (p1 - p2) = 0 against Ha: (p1 - p2) ≠ 0 using α = 0.07. We can perform the two-sample z-test for the difference between two proportions when the sample sizes are large. The test statistic for the two-sample z-test is given by Z = (p1 - p2) / SE, where SE is the standard error of the difference between two sample proportions. The critical value of Z for a two-tailed test at α = 0.07 is Zα/2 = 1.81.

If the calculated value of Z is greater than the critical value of Z, we reject the null hypothesis. If the calculated value of Z is less than the critical value of Z, we fail to reject the null hypothesis. In this question, the calculated value of Z is 7.62, which is greater than the critical value of Z (1.81). Hence we reject the null hypothesis and conclude that there is a significant difference between the population proportions of two independent binomial populations at α = 0.07.

Since the calculated value of Z (7.62) is greater than the critical value of Z (1.81), we reject the null hypothesis. We have enough evidence to support the claim that there is a significant difference between the population proportions of two independent binomial populations at α = 0.07.

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Answer:

Let's call the number of boxes Maria started with:

There are 37 boxes

Step-by-step explanation:

Let's call the number of boxes Kayla started with:

Then we can write:

22

=

b

+

7

2

Where:

22

is the number of boxes Kayla has left.

(

b

+

7

)

is the number of boxes Kayla started with plus the

7

she bought

The division by

2

represents

1

2

of the total boxes Kayla had being destroyed by fire.

We can solve this by first multiplying each side of the equation by

2

to eliminate the fraction while keeping the equation balanced:

2

×

22

=

2

×

b

+

7

2

44

=

2

×

b

+

7

2

44

=

b

+

7

Now, subtract

7

from each side of the equation to solve for

b

while keeping the equation balanced:

44

−

7

=

b

+

7

−

7

37

=

b

+

0

37

=

b

b

=

37

Kayla started out with 37 boxes.

The center of the circle is located at the point (2, -1), and the radius is equal to 6 units.

The equation of the given circle is in the standard form of the circle equation, (x - h)² + (y - k)² = r², where (h, k) represents the center of the circle and r represents the radius. By comparing the given equation with the standard form, we can identify that the center of the circle is at the point (2, -1) since (h, k) = (2, -1). Additionally, the radius can be determined by taking the square root of the value on the right side of the equation, which in this case is 36. Hence, the radius is 6 units.

In this case, the equation (x - 2)² + (y + 1)² = 36 represents a circle with its center at the point (2, -1) and a radius of 6 units. The center of the circle is determined by the values of h and k in the standard form of the circle equation, while the radius is found by taking the square root of the value on the right side of the equation. Knowing the center and radius allows us to visualize and understand the properties of the circle, such as its position in the coordinate plane and the distance from the center to any point on the circle's circumference.

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Answer:

B. None of the above

Step-by-step explanation:

For this problem the strategy is to count the squares to find the value of each dimension:

Volume = L x W x H

Volume = 4 x 3 x 5

Volume = 60 units cubed

I hope this helps!

Answer:

Yes please!

Step-by-step explanation:

Answer:

not me

Step-by-step explanation:

but maybe u do..? :)

The least integer is 15 in the given arithmetic question

Any number that is not zero, a positive natural number, or a negative number denoted by a minus sign is an integer. The opposites of their corresponding positive numbers, the negative numbers are additive. The blackboard bold \(\mathbb {Z}\) or boldface Z are frequently used in mathematical notation to represent a set of integers.

Find the smallest positive integer such that 2940 is a perfect cube i such that 2940 is a perfect cube

2940=2×2×3×5×7×7

⇒2940=2²×7²×3×5

when we multiply by(3×5=15)then 2940 is a perfect square

The least integer is 15

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Answer:

-7

Step-by-step explanation:

y-intercept

x=0

y-3= -2x-10

y=2(0)-10+3

y=0-7

y= -7

(0;-7)

Answer:  

-7

Step-by-step explanation:

(a)The range of the given set of measurements is 4.

(b)The sample mean of the given set of measurements is approximately 5.625.

(c)The sample variance of the given set of measurements is approximately 2.337768, and the sample standard deviation is approximately 1.529.

(a) The range is the difference between the largest and smallest values in the set of measurements. In this case, the largest value is 8 and the smallest value is 4, so the range is 8 - 4 = 4.

To calculate the range, we subtract the smallest value from the largest value. In this case, the largest value is 8 and the smallest value is 4.

Range = Largest value - Smallest value

Range = 8 - 4

Range = 4

The range provides a simple measure of the spread or dispersion of the data. In this case, the range tells us that the values range from the smallest value of 4 to the largest value of 8, with a difference of 4 between them.

(b) The sample mean, denoted as x, is the sum of all the measurements divided by the total number of measurements.

To calculate the sample mean, we add up all the measurements and then divide by the total number of measurements. In this case, we have 8 measurements.

Sum of measurements = 4 + 4 + 7 + 6 + 4 + 6 + 6 + 8 = 45

Sample mean = Sum of measurements / Total number of measurements

Sample mean = 45 / 8

Sample mean ≈ 5.625

The sample mean represents the average value of the measurements and provides a measure of central tendency.

(c) The sample variance, denoted as s^2, measures the variability or dispersion of the data points around the sample mean. It is calculated as the average of the squared differences between each measurement and the sample mean.

To calculate the sample variance, we first calculate the squared difference between each measurement and the sample mean. Then, we average those squared differences.

Squared difference for each measurement:

(4 - 5.625)^2 = 2.890625

(4 - 5.625)^2 = 2.890625

(7 - 5.625)^2 = 1.890625

(6 - 5.625)^2 = 0.140625

(4 - 5.625)^2 = 2.890625

(6 - 5.625)^2 = 0.140625

(6 - 5.625)^2 = 0.140625

(8 - 5.625)^2 = 5.390625

Sum of squared differences = 2.890625 + 2.890625 + 1.890625 + 0.140625 + 2.890625 + 0.140625 + 0.140625 + 5.390625 = 16.364375

Sample variance = Sum of squared differences / (Total number of measurements - 1)

Sample variance = 16.364375 / (8 - 1)

Sample variance ≈ 2.337768

The standard deviation, denoted as s, is the square root of the sample variance.

Sample standard deviation = √(Sample variance)

Sample standard deviation = √(2.337768)

Sample standard deviation ≈ 1.529

These measures provide information about the dispersion or spread of the data points around the sample mean. A higher variance or standard deviation indicates greater variability in the measurements.

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Step-by-step explanation:

Slope is \(\frac{rise}{run}\), so the slope is \(\frac{y}{x}\), which also equals \(-\frac{37}{4}\).

a. In cylindrical coordinates, the point (0, -4, 7) is (4, -π/2, 7). b. in cylindrical coordinates, the point (-2, 2sqrt(3), 1) is (4, -π/3, 1).

(a) (0, -4, 7)

To convert from rectangular to cylindrical coordinates, we use the following equations:

r = sqrt(x^2 + y^2)

θ = arctan(y/x)

z = z

Plugging in the values from (0, -4, 7), we get:

r = sqrt(0^2 + (-4)^2) = 4

θ = arctan((-4)/0) = -π/2 (Note that the point is on the negative y-axis and x = 0)

z = 7

Therefore, in cylindrical coordinates, the point (0, -4, 7) is (4, -π/2, 7).

(b) (-2, 2sqrt(3), 1)

To convert from rectangular to cylindrical coordinates, we use the following equations:

r = sqrt(x^2 + y^2)

θ = arctan(y/x)

z = z

Plugging in the values from (-2, 2sqrt(3), 1), we get:

r = sqrt((-2)^2 + (2sqrt(3))^2) = 4

θ = arctan((2sqrt(3))/(-2)) = -π/3 (Note that the point is in the third quadrant and x < 0)

z = 1

Therefore, in cylindrical coordinates, the point (-2, 2sqrt(3), 1) is (4, -π/3, 1).

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Answer:

-1

Step-by-step explanation:

The 3 in the domain points to the -1 in the range

Answer:  D.  7/15 or

Step-by-step explanation:

You have 15 possible outcomes

Probability= possibilities/outcomes

Possible numbers that are multiples of 3 are: 3, 6, 9, 12, 15.  There are 5 possibilities.

P(multiple of 3) = 5/15

Possible numbers that are multiples of 7 are: 7, 14, .  There are  2 possibilities.

P(7) = 2/15

Because of the or you add th e probabilities

P(multiple of 3 or multiple of 7) = 5/15 +2/15 =7/15

D

The algebaraic equation required is :

2.55x + 0.7 = 16

The number of pens Hannah bought is 6

If :

x = number of pens

4 more pencils Than pens ; Number of pencils = x + 4

2 fewer erasers than pens ; number of erasers = x - 2

Total amount spent = $16

The total number of items bought is :

(x) + (x + 4) + (x - 2)

Multiplying by the cost of each :

1.25x + 0.55(x+4) + 0.75(x-2)

Hence, Total amount spent can be represented as :

1.25x + 0.55(x+4) + 0.75(x-2) = 16

1.25x + 0.55x + 2.2 + 0.75x - 1.50 = 16

2.55x + 0.7 = 16

The algebraic equation is : 2.55x + 0.7 = 16

The number of pens Hannah bought can be calculated thus :

2.55x + 0.7 = 16

2.55x = 16 - 0.7

2.55x = 15.30

x = 15.30 / 2.55

x = 6

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Answer:

Step-by-step explanation: x = the number of pens Hannah bought

(x + 4) = the number of pencils Hannah bought

(x - 2) = the number of erasers Hannah bought

The equation to solve would be 1.25x + 0.55(x + 4) + 0.75(x - 2) = 16

1.25x + 0.55(x + 4) + 0.75(x - 2) = 16.00

1.25x + 0.55x + 4 * 0.55 + 0.75x - 2 * 0.75 = 16.00

1.25x + 0.55x + 2.20 + 0.75x - 1.50 = 16.00

1.25x + 0.55x + 0.75x = 15.30

2.55x = 15.30

x = 6

Note: if you didn't get a Whole Number, you know that you must've made a mistake. You can't buy part of a pen or pencil or eraser.

x = the number of pens Hannah bought = 6

(x + 4) = the number of pencils Hannah bought = 6 + 4 = 10

(x - 2) = the number of erasers Hannah bought = 6 - 2 = 4

You can check your work: 1.25(6) + 0.55(6 + 4) + 0.75(6 - 2) = 1.25(6) + 0.55(10) + 0.75(4) = 16 (check!)

I think the answer is for

1 book (x = 1)

1150+25(1)= 1175

For 2 books (x - 2)

1150+25(2) = 1200

Next, to find the change in total cost, subtract these 2 answers:

1200 - 1175 = 25

Answer:

I used desmos and graphed it-

Hope this helps-

Probability that the mean childhood asthma prevalence for the sample is greater than 2.6% is 0.0357 or 3.57 %.

What is Probability ?

Probability is the measure of likelihood of an event.

For a Normal Distribution ,

the z-score formula is given by

\(\rm Z = \dfrac{X - \mu }{\sigma}\)

Here \(\rm \mu\\\) is the mean and \(\rm \sigma\\\) is the standard deviation .

It is the measure of the deviation of the data from its central tendency.

Each z-score has a probability value.

It is given in the question that

Mean of 2.16% =  \(\rm \mu\\\) = 2.16

Standard deviation of 1.36% means that  \(\rm \sigma\\\) = 1.36

For Sample of 31 the value of standard deviation is \(\rm s = \dfrac{\sigma}{\sqrt{n}}\)

s = 1.36/√31

s = 0.2442

Substituting the values

Z = (2.6 -2.16)/0.2442

Z =1.8

the p value from the graph of z and p , 0.9643

To determine value of probability  more than X is 1 - 0.9643= 0.0357

the

Probability that the mean childhood asthma prevalence for the sample is greater than 2.6% is 0.0357.

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Answer:

\(\left[\begin{array}{ccc}63&44&\\36&25&\end{array}\right]\)

Step-by-step explanation:

\(\left[\begin{array}{ccc}63+0&42+2\\36+0&24+1\end{array}\right]\)

13 inches of wire will cost 52 cents at the same rate as 18 inches of wire costs 72 cents.

To solve this word problem on proportions using a unit rate, we need to first find the unit rate for the cost of the wire. The unit rate is the cost per one inch of wire.

We can find this by dividing the cost by the number of inches:

Unit rate = 72 cents / 18 inches = 4 cents per inch

Now that we have the unit rate, we can use it to find the cost of 13 inches of wire.

We simply multiply the unit rate by the number of inches:

Cost = 4 cents per inch × 13 inches = 52 cents

Therefore, 13 inches of wire will cost 52 cents at the same rate as 18 inches of wire costs 72 cents.

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Answer:

oyxogxogxpydlyelhxobdogdboeohdphdobsphdpbdphdphddphxhphdphcp7

Step-by-step explanation:

pudpydpydoywotw59w5930yr07t69rotsphxphcphcohxohxohcmydktdiyxiyc9ys8tsotdpudoysitsitspypydpydpufp

Answer:

3

Step-by-step explanation:

Answer:

I don't really understand the question but the absolute values of everything is

7.5

10

9

6

4

2

0

2

5

6

8

10

7.5

Step-by-step explanation:

The angular velocity of the circle is approximately 19 m/s.

In order to find the missing quantity, we can use the relationship between linear velocity and angular velocity in a circle. The linear velocity of a point on the edge of a circle is the product of the radius and the angular velocity. This can be expressed as:

v = r * w

where v is the linear velocity, r is the radius, and w is the angular velocity.

To find the value of w, we can rearrange this equation to solve for w:

w = v / r

Substituting the given values of v and r, we get:

w = 1235 m/min / 65 m

w = 19 m/s

It's important to note that units must be consistent when using formulas to solve problems. In this case, we converted the given linear velocity from m/min to m/s before plugging it into the formula. Also, we rounded the answer to the nearest tenth, as instructed, since the given values were rounded to the nearest unit.

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Answer:

The answer is certain .....