Answer to the question

Given:

The stem and leaf plot of a data set is given.

Legend:1|0 represents 10.

To find:

The original data set for the given stem and leaf plot.

Solution:

It is given that 1|0 represents 10 in the given stem and leaf plot. Using this, the original data set from the given stem and leaf plot is:

10, 11, 14, 21, 24, 24, 27, 29, 33, 35, 35, 35, 37, 38, 40, 41.

These values are in ascending order.

Therefore, the original set of data is 10, 11, 14, 21, 24, 24, 27, 29, 33, 35, 35, 35, 37, 38, 40, 41.

Answer:

97 years

Step-by-step explanation:

20,000 - 15,862 = 4,138

[tex]\frac{y}{15,862}: \frac{1.3}{100}[/tex]

y × 100 = 15,862 × 1.3

100y = 20620.6

100y ÷ 100 = 20620.6 ÷ 100

y = 206.206

20,000 ÷ 206.206 = 96.9903882525

96.9903882525 rounds to 97

Answer:

x = 8

Step-by-step explanation:

The side-splitter theorem states that when a line that is parallel to the third side of a triangle intersects the other two sides of the triangle, it divides the two sides proportionally.

Applying this theorem, we have the following equation:

x/52 = 2/13

Cross multiply

x*13 = 2*52

13x = 104

13x/13 = 104/13

x = 8

Answer:

f(-1) = 5

Step-by-step explanation:

To "evaluate the function f(x) = -x^2 + 6 at x = -1, we substitute -1 for x in each instance:

f(-1) = -(-1)^2 + 6

According to order of operations rules, exponentiation must be performed before multiplication or division.  '-(-1)^2' thus becomes -1, and so

f(-1) = -(-1)^2 + 6 = -1 + 6 = 5.

Thus, f(-1) = 5

Answer:

7x - 8

Step-by-step explanation:

Hope this helps!

Answer:

Step-by-step explanation:

1 to find AB

in triangle ADB

here 4 and 2[tex]\sqrt{6}[/tex]  are the legs of the right triangle so let them be a and b respectively.

AB is the hypotenuse (longest side ) and let it be x

using pythagoras theorem

a^2 + b^2 = c^2

4^2 + [tex](2\sqrt{6} )^2[/tex] = AB^2

16 + 4*6 = AB^2

16 + 24 = AB^2

40 = AB^2

[tex]\sqrt{40}[/tex] = AB

[tex]2\sqrt{10}[/tex] = AB

therefore AB =v[tex]2\sqrt{10}[/tex] .Hence proved .

In triangle ADC

here 6 and [tex]2\sqrt{6}[/tex] are the legs of the right angle so let them be a and b respectively. AC is the hypotenuse (longest side) so let it be c

usinfg pythagoras theorem

a^2 + b^2 = c^2

6^2 + [tex](2\sqrt{6} )^2[/tex] = AC^2

36 + 4*6 = AC^2

36 + 24 = AC^2

60 = AC^2

[tex]\sqrt{60}[/tex] = AC

[tex]2\sqrt{15}[/tex] = AC

To prove triangle ABC is a right angled triangle

AD and BD are the legs and AB is hypotenuse

according to pythagoras theorem to be the right angle triangle the sum of square of two smaller sides of a triangle must equal to the square of hypotenuse(longest side)

let two smaller sides be a and b respectively and c be hypotenuse

using pythagoras theorem

a^2 + b^2 = c^2

4^2 + [tex](2\sqrt{6} )^2[/tex] = [tex](2\sqrt{10} )^2[/tex]

16 +2^2*6 = 2^2*10

16 + 4*6 = 4*10

16 + 24 = 40

40 = 40

since both sides are equal it is proved that the triangle ABC is a right angled triangle.

Hope this helps u !!

Answer:

2 square root 10

Step-by-step explanation:

firstly you must find the hipotenus using the hipotenus formula AB is the hipotenus

(4)*2 + (2 square root 10)*2 = 40 juat press a calculator if you dont know

and then you press square root of 40 then you will get 2 square root 10 so you already prove that AB is 2 square root 10

Step-by-step explanation:

a.

Let's give the starting amount of water as s. Every minute, 2 inches of water are lost, meaning that given the starting amount, s, we subtract 2 inches from s every minute, so s - 2 every minute = height of water left, so s - 2t (t representing minutes) = h

To figure out s, we simply plug our known value -- 9 minutes in and 11 inches left. s - 2(9) = 11, s-18=11, s= 29

29 - 2t = h

b. We know that we cannot have negative minutes, so the minimum amount of time that makes sense is 0. To figure out the maximum, we stop counting how much time has occurred when there is no water left, so we have to figure out when h = 0

29-2t = h = 0

t=14.5

Therefore, anything between 0 and 14.5 minutes makes sense

c. Anything between 0 and 29 makes sense because the height of water cannot be negative and we cannot get higher than the starting amount

Answer:

question please so I can help you

2 divided by 32 is 16 so im gonna say 16

16 is ur answer

Answer:

a) The difference is of 3.222 lbs.

b) 1.64 standard deviations.

c) Z = 1.64

d) Not significant, as the z-score of 1.64 is between -2 and 2.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The mean of all of the weights is x=2.088 ​lb, and the standard deviation of the weights is s=1.968 lb.

This means that [tex]\mu = 2.088, \sigma = 1.968[/tex]

a. What is the difference between the weight of 5.31 lb and the mean of the​ weights?

This is [tex]X - \mu = 5.31 - 2.088 = 3.222[/tex]

The difference is of 3.222 lbs.

b. How many standard deviations is that​ [the difference found in part​ (a)]?

This is the z-score. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{5.31 - 2.088}{1.968}[/tex]

[tex]Z = 1.64[/tex]

1.64 standard deviations.

c. Convert the weight of 5.31 lb to a z score.

Z = 1.64, as found above.

d. If we consider weights that convert to z scores between −2 and 2 to be neither significantly low nor significantly​ high, is the weight of 5.31 lb​ significant?

Not significant, as the z-score of 1.64 is between -2 and 2.

Answer:

The length is 8 cm. Since its a square, so the length of both its sides are equal.

l^2=64

where l=length of side

square root both sides

then, l=8

Answer:

8cm is the length of its side.

Step-by-step explanation:

Answer:

Width = 17 feet, Length = 22 feet

Step-by-step explanation:

Let the width, w, be x

Therefore, length, L = x + 5

Perimeter = 78

p = 2(L+b)

78 = 2(x + x+5)

Adding the variables,

78 = 2( 2x + 5)

Dividing both sides by two,

39 = 2x + 5

Subtracting two from both sides,

34 = 2x

Dividing by two on both sides,

17 = x

Therefore, the width = x = 17 feet, and the length = x + 5 = 17 + 5 = 22 feet.

Hope you understood

Please mark as the brainliest

Thank You

Answer:

No

Step-by-step explanation:

To check if (2,3) is a solution to the system of equations, we simply have to plug the coordinate points into the two equations and see if it is valid.

[tex]2*2+5*3=\\4+15=\\19\\\\19=19[/tex]

(2,3) belongs in the first equation.

[tex]2+16*3=\\2+48=\\50\\\\50\neq 5[/tex]

(2,3) does not belong in the second equation.

Therefore, (2,3) is not a solution to this system of equations.

I hope this helps! Let me know if you have any questions :)

Answer:

B)  y < -x + 1

Step-by-step explanation:

you can see from the x-and-y intercepts that the equation of this line is:

y = -x + 1

now you must determine whether the equal sign should be replaced with '<' or '>'

you can use the point (0,0) to see if that makes y > -x + 1 true or false:

0 > 0+1   This is False

so the answer should be:  y < -x + 1

Answer:

y - 2 = 1/3(x - 3)

Step-by-step explanation:

Point slope form is y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.

Plug in the slope:

y - y1 = m(x - x1)

y - y1 = 1/3(x - x1)

Plug in the given point:

y - y1 = 1/3(x - x1)

y - 2 = 1/3(x - 3)

So, the correct answer is y - 2 = 1/3(x - 3)

Answer:

11 2/3%

Step-by-step explanation:

Change in Amount  =335,000 – 300,000

Percent Increase

Original Amount

300,000

35,000

2

=0.11666=11.666%=11-%

300,000

3

(https://imgur.com/a/U6c1pes) - For more clear explanation.

Step-by-step explanation:

we can simplify the stuff inside the parentheses to

[tex] \frac{ {x}^{3} }{2y} [/tex]

now we need to multiply it with itself, giving us

[tex] \frac{ {x}^{6} }{4 {y}^{2} } [/tex]

so yeah, D is the correct answer

Answer:

The base reduces at 3.75cm/min

Step-by-step explanation:

Given

Let

[tex]h \to altitude[/tex]

[tex]b \to base[/tex]

[tex]A \to Area[/tex]

So:

[tex]\frac{dh}{dt} = 1.5cm/min[/tex]

[tex]\frac{dA}{dt} = 1.5^2cm/min[/tex]

The area of a triangle is:

[tex]A = \frac{1}{2}bh[/tex]

Calculate b when [tex]A =88cm^2; h =8cm[/tex]

[tex]A = \frac{1}{2}bh[/tex]

[tex]88=\frac{1}{2} * b * 8[/tex]

[tex]88 =b * 4[/tex]

Solve for b

[tex]b = 88/4[/tex]

[tex]b = 22[/tex]

We have:

[tex]A = \frac{1}{2}bh[/tex]

Differentiate with respect to time

[tex]\frac{dA}{dt} =\frac{1}{2}(h\frac{db}{dt} + b\frac{dh}{dt})[/tex]

Substitute the following values in the above equation

[tex]\frac{dh}{dt} = 1.5cm/min[/tex]        [tex]\frac{dA}{dt} = 1.5^2cm/min[/tex]      [tex]b = 22[/tex]     [tex]h = 8[/tex]

[tex]1.5 = \frac{1}{2}(8 * \frac{db}{dt} + 22 * 1.5)[/tex]

Multiply both sides by 2

[tex]3 = 8 * \frac{db}{dt} + 22 * 1.5[/tex]

[tex]3 = 8 * \frac{db}{dt} + 33[/tex]

Collect like terms

[tex]8 * \frac{db}{dt} = 3 -33[/tex]

[tex]8 * \frac{db}{dt} = -30[/tex]

Divide both sides by 8

[tex]\frac{db}{dt} = -\frac{30}{8}[/tex]

[tex]\frac{db}{dt} = -3.75[/tex]

Answer:

a. Quantitative

b. Qualitative

c. Qualitative

d. Quantitative

e. Qualitative

f. Quantitative

Step-by-step explanation:

Qualitative measures:

Answers are labels, that is, yes/no, good/bad, or numbers in which comparisons or operations cannot be made.

Quantitative measures:

Answers are numbers in which comparisons are made, or possible operations.

a. The yearly salaries of the employees at a school district.(2pts)

Salaries are numbers, in which comparisons can be made(more or less), so quantitative.

b. The employee numbers of the employees at an accounting firm.(2pts)

Number, but comparisons aren't made with these numbers, so qualitative.

c. The area codes of a sample of 350 residents of nursing homes.(2pts)

Number, but comparisons aren't made with these numbers, so also qualitative.

d. The ages of a sample of 350 residents of nursing home. (2pts)

Number, comparisons made, you can rank by age for example, so quantitative.

e. The answers to a survey of 5000 people about how likely is it that the US will enter a 1930s-like depression. The answers are: Very likely, somewhat likely, not very likely, not at all likely. (2pts)

Labels, so qualitative.

f. The IQ index of the students in a statistics class.(2pts)

Students can be ranked by IQ, so quantitative.

Answer:

63.44degrees

Step-by-step explanation:

Given that;

tan(A-45) = 1/3

A-45 = arctan(1/3)

A - 45 = 18.44

A = 18.44+45

A = 63.44degrees

Hence the value of A is 63.44degrees

Answer:

We accept H₀ we don´t have enough evidence to support that the mean thickness is greater than 41 mm

Step-by-step explanation:

Sample Information:

Results:

41.8

40.9

42.1

41.2

40.5

41.1

42.6

40.6

From the table we get:

sample mean :  x  =  41.35

sample standard deviation    s = 0.698

Hypothesis Test:

Null Hypothesis                    H₀                x = 41

Alternative Hypothesis        Hₐ                x > 41

The test is a one-tail test

If significance level is  0.01 and n = 8  we need to use t-student distribution

From t-table  α = 0.01  and degree of freedom  df = n - 1  df = 8 - 1

df = 7    t(c) = 2.998

To calculate t(s)  =  (  x  -  41 ) / s/√n

t(s)  =  (  41.35  -  41 ) / 0.698/√8

t(s)  = 0.35 * 2.83/ 0.698

t(s) = 1.419

Comparing   t(s)  and t(c)

t(s) < t(c)

t(s) is in the acceptance region we accept H₀

Answer: B

Step-by-step explanation:

Answer:

-5ºC < 5ºC is an inequality that compares temperatures.

B is the correct answer for the multiple choice question.

9514 1404 393

Answer:

  7.056 × 10^31

Step-by-step explanation:

The applicable rule of exponents is ...

  (10^a)(10^b) = 10^(a+b)

__

  [tex](1.2\times10^{19})\times(5.88\times10^{12})=(1.2\cdot5.88)\times10^{19+12}\\\\=\boxed{7.056\times10^{31}}[/tex]

As you know, the commutative and associative properties of multiplication let you rearrange the order of the product to any convenient form. Here it is convenient to group the mantissas together and the powers of 10 together.

__

Additional comments

This is a product your scientific or graphing calculator can produce for you. Likely it will display the result in scientific notation because it won't have enough display digits to show you the product any other way. For smaller numbers, you can set the display mode to give you scientific notation.

If you choose to use a spreadsheet to perform this calculation, the numbers would be entered as 1.2e19 and 5.88e12. The result will be something like 7.056e31. You may have to format the display to show 3 decimal places.

Answer:

Its H

There should be one dot on 4, 2 dots on 2, 3 dots on 1, 3 dots on 0,  1 dot on 7, 1 dot on 3

Step-by-step explanation:

brainly plz!

Answer:

-2x³+10x²+6x

Step-by-step explanation:

-2x³+11x²+0x+7

0x³ -  x²+ 6x-7

_____________

-2x³+10x²+6x+0

_____________

Answer:

i have adhd too lol, i think its they're both equal ?

Step-by-step explanation:

no idea lol but have a good day

Answer:

Your answer would be B

Step-by-step explanation:

So right away you can get rid of a and d since they are positive numbers, there is no positive numbers in the graph were the line is.

So we know that the y-intercept is -2 (as you can see the line pass through (0,-2))

And we know the y intercept is -8 (since the line pass through (-8,0))

so you are left with b and c, c is incorrect because the -2 goes through the y-intercept not the x.

The right choice is b, it states that the x-intercept -8 pass through the line, the y-intercept is -2

Your welcome and hoped this helped!

Answer:

Choose (D)

y-y1=m(x-x1)

y-2=1/2(x+6)

9514 1404 393

Answer:

  38

Step-by-step explanation:

The product of the given numbers is 38.4888. Rounding this to two significant digits gets you 38.