A mother tracks the duration of her baby's three daily naps for a few weeks. The mean time, in minutes, and the standard deviation, SD, for each nap are recorded in the table below. 1st Nap 2nd Nap 3rd Nap Mean = 83 SD = 9 Mean = 52 SD = 6 Mean = 39 SD = 11 Use the information in the table to select the true statement. A. The 3rd nap is the least consistent in duration because its mean is the lowest. B. The 2nd nap is the least consistent in duration because its standard deviation is the lowest. C. The 1st nap is the least consistent in duration because its mean is the highest. D. The 3rd nap is the least consistent in duration because its standard deviation is the highest.

Answer:

42.30

Step-by-step explanation:

Answer:

84 cm

Step-by-step explanation:

Area=a, length=l, width=w

[tex]A=lw[/tex]

If area is 5376 cm², and width is 64 cm,

[tex]5376=64l[/tex]

Divide each side by 64,

[tex]l=84[/tex]

So, the length of the rectangle is 84 cm.

Answer:

x^2 + y^2 = 25

Step-by-step explanation:

The standard form of a circle equation is:

(x - h)^2 + (y - k)^2 = r^2

where (h, k) is the center and r is the radius.

We can see that the center is (0, 0) by looking at the graph, and the radius is 5 because it is marked. Plugging these in we get:

x^2 + y^2 = 25

Answer:0.275

Step-by-step explanation:

if a²+b²>c², the triangle is acute, if a²+b2²=c², the triangle is a right triangle,  and if a²+b²<c², the triangle is obtuse.

where a and b are the lengths of the two shorter sides of the triangle and c is the length of the longest side.

A right-angled triangle is a triangle with one of the angles at 90 degrees. A 90-degree angle is called a right angle, and hence the triangle with a right angle is called a right triangle.

An acute triangle has three angles that each measure less than 90°. In an acute-angled triangle, all three internal angles of the triangle are acute, that is, they measure less than 90°.

An obtuse triangle is a triangle with one angle that is greater than 90° degrees, it is not possible for a triangle to have more than one obtuse angle.

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Answer:

Slope = -1 or (-1/1)

Step-by-step explanation:

slope = m

Point 1: (0, 2); Point 2: (2, 0)

           (x₁, y₁)                (x₂, y₂)

        y₂ - y₁       0 - 2        -2

m = ----------- = ---------- = ------- = -1 or (-1/1)

        x₂ - x₁       2 - 0        2

I hope this helps!

Answer:

x = 9

Step-by-step explanation:

AB = 4x + 6 and BC = 7x + 15  AC is the sum of AB and BC

so 4x + 6 + 7x + 15 = 120 add like terms

11x + 21 = 120 subtract 21 from both sides

11x = 99 divide both sides by 11

x = 9

There are 4 cassette tapes.

Given that,

Let x be the number of compact discs

Then 5 times the number of CD's= 5x and 10 less than 5 times the number of CDs is 5x-10

Therefore the number of cassettes is 5x-10

Now we are told that the ratio of cassettes to CDs which is

((5x-10)/x) equals 5/2 so our equation to solve is:

(5x-10)/x=5/2 multiply both sides by 2x to get rid of the fractions and we get:

2(5x-10)=5x

Further solving this equation, we get:

10x-20=5x

5x=20

x= 4 (number of compact discs)

Thus, there are in total 4 cassette tapes.

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Answer:  A.  X=4

Step-by-step explanation:

Since the line is on the X axis you can see its touching x,4 y,0

Answer:

About 516 students are right handed.

Step-by-step explanation:

Divide 600 by 7 to get 85.7143. Round up to 86. Multiply times 6.

Answer:

I'll setup the problem and leave you to solve it

Step-by-step explanation:

L = number of left-handed students

R = number of right-handed students

you have 2 equations

L + R = 600 (1)

R = 7 x L (2)

solve for L in equation 1

L = 600 - R

substitute L in equation 2

R = 7(600 -R)

multiplying and gathering like terms

8R= 4200

solve for R and you have your answer

The value of x is 7 and value of y is 8

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

Given data set is {4, 6, x, y, 10}

The mean and the median are the same value.

The median is the middle value, which is x, and the mean is:

M = (4 + 6 + x + y + 10)/5

Then we have that:

(4 + 6 + x + y + 10)/5 = x

Now let's solve this:

(4 + 6 + x + y + 10) = 5x

20 + x + y = 5x

20 + y = 4x

And x and y are whole numbers. Then we can take x = 7 to get:

20 + y = 4*7

y = 28 - 20 = 8

Then we have x = 7 and y = 8.

Hence, the value of x is 7 and value of y is 8 in the data set 4 6 x y 10

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An equation in slope-intercept form of the amount of money saved after x weeks is y=21x+213.

The slope intercept form of a straight line is one of the most common forms used to represent the equation of a line. The slope intercept formula can be used to find the equation of a line when given the slope of the straight line and the y-intercept.

The standard form of the slope intercept form is y=mx+c.

Given that, after 17 weeks, you have $570, and after 29 weeks, you have $822.

Here, (17, 570) and (29, 822)

Substitute (x₁, y₁)=(17, 570) and (x₂, y₂)=(29, 822) in m=(y₂-y₁)/(x₂-x₁)

= (822-570)/(29-17)

= 252/12

= 21

Substitute, m=21 and (x, y)=(17, 570) in y=mx+c, we get

570=21×17+c

570=357+c

c=213

Substitute, m=21 and c=213 in y=mx+c, we get

y=21x+213

Therefore, an equation in slope-intercept form of the amount of money saved after x weeks is y=21x+213.

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Answer:

14

Step-by-step explanation:

200 / 10 = 20

20 miles a gallon

280 / 20 = 14

:)

Answer:

14 gallons

Step-by-step explanation:

200 miles takes ten gallons, and 280 is equal to 100 percent plus 40 percent of 200, and 140 percent of 10 is 14. if that makes sense

The sales tax rate on the item = 8%

We know that the sales tax is nothing but the purchase price times the percentage of tax.

An item costs $430 before tax.

This means, the purchase price is 430 dollars.

The sales tax is $34. 40

To find: the sales tax rate as a percentage

First we find a ratio of the sales tax to the cost of the items before tax.

Sales tax / Pre-tax value of item = (34.40) / 430

Now we write a proportion where the pre-tax value is proportional to 100% and solve for the percentage of sales tax.

i.e., (34.40) / 430 = sales tax percent / 100

So, the sales tax percent  = 8%

Therefore, the sales tax is of 8%

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Answer:

C.11

Step-by-step explanation:

a perimeter is the total length of all sides of a rectangle. so

rectangle has 4 sides and it says that the shorter side is 5 so 5+5 for the shorter side and it's 10

32-10=22

22÷2= 11

(basta yan lang alam ko, sorry kung mali.)

The length of ST is 16 units.

A line segment is a part of line having two endpoints and it is bounded by two distinct end points and contain every point on the line that is between its endpoint.

We have to given that;

Point P is the midpoint of ST.

SP = x + 4, and ST = 4x

Since, P is the midpoint of ST.

Hence, We get;

⇒ SP = PT

And, ST = 2 SP

Substitute all values we get;

⇒ 4x = 2 (x + 4)

⇒ 4x = 2x + 8

⇒ 4x - 2x = 8

⇒ 2x = 8

⇒ x = 4

Thus, The value of ST = 4x

                                  = 4×4

                                  = 16

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Answer:

ppppppppppppppppppppppppppppppppppp dogwater freee

Step-by-step explanation:

The system y = 3x + 4 and 6x - 2y = 8 has no solutions.

A system of equations is a set of equations with multiple variables. To determine the number of solutions for a system of equations, one can use the following methods: graphing, substitution, or elimination. In this case, we can use the elimination method by adding or subtracting the equations to eliminate one of the variables.

If we add the two equations, we get y = 3x + 4 + 6x - 2y = 8, which results in 3x + 4 = 8. This is an inconsistent equation and does not have any solutions. Therefore, the system y = 3x + 4 and 6x - 2y = 8 has no solutions.

This shows that the system is inconsistent, which means that there's no solution that satisfies both equations.

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Answer: [tex]21.6\ s[/tex]

Step-by-step explanation:

Given

The initial velocity of the ball is [tex]u=150\ ft\s[/tex]

Angle of projection [tex]\theta=45^{\circ}[/tex]

The time of flight of the ball is given by

[tex]T=\dfrac{2u\sin \theta}{g}\\\\[/tex]

Insert the values

[tex]T=\dfrac{2\times 150\times \sin 45^{\circ}}{9.8}\\\\T=\dfrac{212.132}{9.8}\\\\T=21.6\ s[/tex]

Answer:

∠8 and ∠5

Step-by-step explanation:

Vertical angles are angles that are across from each other.

∠8 and ∠5 are across from each other.

Answer:

GCF = 4

add to:  -14

multiply to:  45

4(x-5)(x-9)

Step-by-step explanation:

Answer:

x = 88.2

Step-by-step explanation:

Reference angle = 10°

Opposite = x

Adjacent = 500

Apply TOA:

Tan 10° = x/500

Multiply both sides by 500

500*Tan 10° = x

88.1634905 = x

x = 88.2 (nearest tenth)

Answer:

25 snowcones

Step-by-step explanation:

0.75s = 18.75, where (s) is the number of students/snowcones ordered

Divide both sides by 0.75:

0.75s/0.75 = 18.75/0.75

s = 25

Answer:

4w4 + 10w5 - 5w3

Step-by-step explanation:

Answer:

(f/g)x = (x - 3)/(2x - 3)

Step-by-step explanation:

Try and see if f(x) can be factored.

g(x) = (2x - 3) (2x + 3)

That means that perhaps f(x) has one of these two factors.

(2x   3)(x   3)

You want the 2x and 3 to multiply. The middle term has to be -, so when 2x and 3 multiply likely it is 3 that gives you the minus answer.

(2x + 3)(x - 3) should be the way f(x) factors, and it is.

f(x) / g(x) = (2x + 3) (x - 3)

                 (2x + 3)(2x - 3)

2x + 3 cancels. The answer is

(f/g)x = (x - 3)/(2x - 3)

Answer:

2[tex]\sqrt{2}[/tex]

Step-by-step explanation:

[tex]\sqrt{2x9}[/tex] - [tex]\sqrt{2}[/tex] = 3[tex]\sqrt{2}[/tex] - [tex]\sqrt{2}[/tex] = 2[tex]\sqrt{2}[/tex]

Answer: 6

Step-by-step explanation:

Answer:

Step-by-step explanation:

Take the percentages for both 1992 and 2000 and make the average. that is your answer

Answer:

6.333... but you would have 6.3 with a line over the 3

Step-by-step explanation:

19 divided by 3