What are the values of the new mean and standard
deviation of the students' reading times?
A group of 19 students registered for a speed-reading
class at a local community college. On the first day of
class, students were timed as they read a passage
from a novel. The mean time of all the students was
189 minutes with a standard deviation of 21 minutes.
Six months later, the students were timed again as they
read a passage of similar length and readability level.
Each student in the course lost exactly 10 minutes on
their reading times.
O mean = 179 minutes and standard deviation = 11
minutes
O mean = 179 minutes and standard deviation = 21
minutes
O mean = 179 minutes and standard deviation = 31
minutes
O mean = 189 minutes and standard deviation = 11
minutes
O mean = 189 minutes and standard deviation = 21
minutes

The set of ordered pairs above: is a function.

The mapping diagram above: is a function.

y = x²: is a function.

The table above: is not a function.

In Mathematics and Geometry, a function is a mathematical equation which is typically used for defining and representing the relationship that exists between two or more variables such as an ordered pair.

Based on the set of ordered pairs, mapping diagram, and the equation above, we can reasonably infer and logically deduce that it represent a function because the input values (domain, x-value, or independent values) are uniquely mapped to the output values (range, y-value or dependent values).

In this context, we can reasonably infer and logically deduce that the table does not represent a function because the input value (-1) has more than output values (2 and 4 respectively).

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Answer:

\(a=\sqrt[4]{2} \\c=\sqrt[4]{3}\)

Step-by-step explanation:

a=

cos= adjecent leg/ hypothenuse

cos 45= a/8 (cross multiply)

a=8*cos 45

c=

tan= opposite leg/adjacent leg

tan 60= c/4 (cross multiply)

c= 4*tan 60

The smallest angle of the equilateral triangle is 60 degrees

If the sides of a triangle are in the ratio 4:4:3, it implies that the lengths of the sides are proportional.

To determine the type of triangle, we examine the side lengths. Since all three sides are equal in length, we have an equilateral triangle.

For an equilateral triangle, all angles are equal. To calculate the smallest angle, we divide the total sum of angles in a triangle (180 degrees) by the number of angles, which is 3:

Smallest angle \(= \frac{180}{3} = 60\)\) degrees.

Therefore, the smallest angle of the equilateral triangle is 60 degrees (to the nearest degree).

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Answer: D 20

Step-by-step explanation: Hope that helps

Answer:

\(\huge\boxed{\sf \frac{7}{40} }\)

Step-by-step explanation:

\(\displaystyle \frac{1}{5} \times \frac{7}{8} \\\\= \frac{1 \times 7}{5 \times 8} \\\\= \frac{7}{40} \\\\Hence, this \ is \ the \ simplest \ form.\\\\\rule[225]{225}{2}\)

Hope this helped!

Answer:

7/40

Step-by-step explanation:

7 cant go into 40 so it just stays as 7/40

Answer:

6,656 square meters

Step-by-step explanation:

Surface area of triangular pyramid = bh + L(S1 + S2 + S3)

Where,

b = 48 m

h = 32 m

L = 40 m

S1 = 40 m

S2 = 40 m

S3 = 48 m

Plug in the values

Surface area = 48*32 + 40(40 + 40 + 48)

= 1,536 + 5,120

= 6,656 m²

Answer:

3/15

Step-by-step explanation:

-2/5=-6/15

(-6-(-9))/15=(-6+9)/15=3/15

Answer:

a. -2

b. 48, -96, 192

Step-by-step explanation:

The answer is on the picture.

Answer:

7.78

Step-by-step explanation:

Answer:

O 7.78

Step-by-step explanation:

Have a wonderful day:)

Answer:

20 feet

Step-by-step explanation:

9+26=35

55-35=20

The third side is 20 feet

Answer:

x+10

Step-by-step explanation:

subsitute x+9 as x

x+9+1=x+10

With the help of proportions in the given similar triangles we know that the value of x is 3.5 units.

Euclidean geometry states that two objects are comparable if they have the same shape or the same shape as each other's mirror image.

One can be created from the other more precisely by evenly scaling, possibly with the inclusion of further translation, rotation, and reflection.

These three theorems—Angle-Angle (AA), Side-Angle-Side (SAS), and Side-Side-Side (SSS)—are reliable techniques for figuring out how similar triangles are to one another.

So, in the given situation:

TR and WY are as follows:
TR/WU

24/2

2/1

Similarly,

TS/WV

2/1

7/x

7/3.5

Therefore, with the help of proportions in the given similar triangles we know that the value of x is 3.5 units.

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Answer:

approximately 26.7 million

Step-by-step explanation:

Let x be the number of cruise passengers in 2017.

6.7% increase of x gives us 28.5 m cruise passengers in 2018.

Thus, 106.7 % of x = 28.5

\( \frac{106.7}{100} * x = 28.5 \)

\( \frac{106.7x}{100} = 28.5 \)

Multiply both sides by 100

\( \frac{106.7x}{100} * 100 = 28.5*100 \)

\( 106.7x = 2850 \)

Divide both sides by 106.7

\( \frac{106.7x}{106.7} = \frac{2850}{106.7} \)

\( x = 26.7 \) (approximated)

Number of passengers in 2017 must have been approximately 26.7 million

Answer:

7/3

Step-by-step explanation:

If I solved it correctly, you use  y2-y1 / x2-x1. From here you get -3-4/1-4=-7/-3 which when you divide equals 7/3. LMK IF its wrong and ill figure it out champ!

Answer:

none of the above

Step-by-step explanation:

because 5p + 3p = 8p and positive integers × negative integers = negative integers.

Answer:

17:53=5:53pm

Step-by-step explanation:

Answer: cos4

Step-by-step explanation: 50 meters

B. 50-√3 meters

C. 100 meters

D. 100-√3 meters

40. What expression is used to answer: "A 4-m tall man stands on horizontal ground 43 m from a tree.

The angle of depression from the top of the tree to his eyes is 22°. Estimate the height of the tree."

A. sin 22

B. cos 22

C. tan 22

D. cot 22

Answer:

To find the angle of this triangle you have to \(cos^{-1}(\frac{4.87}{5.35})\). When you do this you will get 24 as the angle

Step-by-step explanation:

Hope this Helped

Answer:

15 DOGGGSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS

Step-by-step explanation:

Answer:

7x

Step-by-step explanation:

(5.2 + 6.8)x - (25 ÷ 5)x

12x-(25divied by 5)x

12x-5x

7x

With a mean of $32,500 and a standard deviation of $2,500. The z-score for a sales associate who earns $37,500 is 2.

The z-score, also known as a standard score, is a measure of how many standard deviations a given value is from the mean. It is used to standardize the data and make it easier to compare and interpret. The formula for the z-score is:

z = (x - μ) / σ

where x is the value of interest, μ is the mean, and σ is the standard deviation.

In this case, the mean annual salary for sales associates from a particular store is $32,500 and the standard deviation is $2,500. We want to find the z-score for a sales associate who earns $37,500. Plugging in the values, we get:

z = ($37,500 - $32,500) / $2,500 = 2

This means that the sales associate's salary is 2 standard deviations above the mean.

Interpreting the z-score can help us understand how unusual or typical a given value is in comparison to the mean. In this case, a z-score of 2 indicates that the sales associate's salary is relatively high compared to the mean, but it is not an extremely high salary.

We can use a standard normal table to find the proportion of the data that falls below a given z-score, or to find the corresponding value for a given proportion of the data.

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Answer:

84

34

27

Step-by-step explanation:

Answer:

1/6 book per month

Step-by-step explanation:

2 divided by 12

1/6

The number 1234567 cannot be written as a sum of two squares.

Let q = x^2+y^2,

Let a and b be two even numbers, such that

a= 2x and b = 2y

then

n = (2x)^2 + (2y)^2 = 4 (x^2+y^2)

implies n = 4q

Let a and b be two odd numbers, such that

a = 2x+1 and b = 2y+1

then

n = (2x+1)^2 + (2y+1)^2 = 4x^2+4y^2+1 = 4q+2

Let a be an even number and b be an odd number, such that

a= 2x and b = 2y+1

then

n = (2x)^2 + (2y+1)^2 = 4q+1

But, the given number 1234567 = (4×308641)+3 which is of the form 4q+3, hence it cannot be written as the sum of two squares.

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Answer:

k = 77

Step-by-step explanation:

\(\frac{k}{11} =7\\\\\rightarrow 11 * 7 = 77\\\rightarrow 77 \div 11 = 7\)

Answer:

k = 77

Step-by-step explanation:

The question in equation form is :

\(\frac{k}{11} =7\)

Now we multiply both sides by 11 to solve for k :

k = 7×11

k = 77

Hope this helped and brainliest please

A function is a relationship between a few different inputs and an output, where each input can only lead to one possible outcome.

(i) The exponential function that models the decay of the substance is given by:

\(N(t) = Noe^(-0.088t)\)

(ii) If \(400g\) of the substance is present at to, then  \(No = 400g\) . Therefore, the amount of the substance remaining after 3 days is:

\(N(3) = 400e^(-0.0883) = 309.21g\)  (rounded to two decimal places)

(iii) The rate of change of the amount of the substance after 3 days is given by:

 \(dN/dt = -0.088N(3) = -0.088309.21 = -27.21 g/day\) (rounded to two decimal places)

(iv) To find the number of days it takes for half of the original \(400g\) of the substance to remain, we need to solve the equation:

\(N(t) = 0.5No\)

\(0.5No = Noe^(-0.088t)\)

\(0.5 = e^(-0.088t)\)

\(ln(0.5) = -0.088t\)

\(t = ln(0.5)/(-0.088) = 7.89 days\) (rounded to two decimal places)

Therefore, after  \(7.89\) days, half of the original  \(400g\) of the substance will remain.

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Answer: The answer is (19, 17), (20, 18), (21, 19), (22, 20), and (23, 21).

Step-by-step explanation: