The article " Inconsistent Health Perceptions for US Women and Men with Diabetes" presents results of a survey of adults with diabetes. The average body mass index (BMI) in a sample of 1559 men was 30.4, with a standard deviation of 0.6. The average BMI in a sample of 1924 women was 31.1 with a standard deviation of 0.2. Find a 99% confidence interval for the difference between the mean weights.

Answer:

Sean is late for dinner.

Step-by-step explanation:

A quarter to 7 is 6:45 so he is 15 minutes late to the dinner.

If Sean arrives at quarter to 7 (which means 6:45), he is 15 minutes late for dinner, as dinner started at 6:30.

When we say that Sean arrived at quarter to 7, it means that he arrived at 6:45, because a quarter of an hour is equivalent to 15 minutes. We can then compare this time to the time that dinner started, which is 6:30.

If Sean arrived at or before 6:30, he would be considered early for dinner. However, since he arrived at 6:45, he is 15 minutes late for dinner. This means that dinner has already started and he has missed the beginning of the meal.

In general, it is considered polite and respectful to arrive on time for a dinner invitation or any other social event. If you are going to be late, it's always a good idea to let your host know so they can adjust their plans accordingly.

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9514 1404 393

Answer:

  (5 15/20) -(2 8/20) = 3 7/20

Step-by-step explanation:

Problems in "least common denominator" are made much easier if you are familiar with your times tables.

When you compare the denominator 4 to the denominator 20, you see that ...

  20 = 5 × 4

An equivalent fraction is made by multiplying by 1. Here, the version of 1 you want for the top fractions is 5/5.

  [tex]\dfrac{3}{4}= \dfrac{3}{4}\cdot\dfrac{5}{5}=\dfrac{3\cdot5}{4\cdot5}=\dfrac{15}{20}[/tex]

Similarly, the bottom fraction has its denominator multiplied by 4 to get from 5 to 20. The equivalent fraction is found by multiplying the numerator by the same number.

  [tex]\dfrac{2}{5}=\dfrac{2\cdot4}{5\cdot4}=\dfrac{8}{20}[/tex]

Then the desired difference is ...

  [tex]5\dfrac{15}{20}-2\dfrac{8}{20}=(5-2)+\left(\dfrac{15-8}{20}\right)=3\dfrac{7}{20}[/tex]

Answer:10 to the power of 8

Step-by-step explanation:since 10 is used as a factor 8 times, the exponent is 10 to the power of 8.

Given:

A figure of a triangle, AD = 6 and DB = 2.

To find:

The length of AC.

Solution:

In a right angle triangle,

[tex]\cos \theta =\dfrac{Base}{Hypotenuse}[/tex]

In triangle ACD,

[tex]\cos A =\dfrac{AD}{AC}[/tex]

[tex]\cos 30^\circ =\dfrac{6}{AC}[/tex]

[tex]\dfrac{\sqrt{3}}{2}=\dfrac{6}{AC}[/tex]

[tex]\sqrt{3}\times AC=6\times 2[/tex]

[tex]AC=\dfrac{12}{\sqrt{3}}[/tex]

[tex]AC=\dfrac{12}{\sqrt{3}}\times \dfrac{\sqrt{3}}{\sqrt{3}}[/tex]

[tex]AC=\dfrac{12\sqrt{3}}{3}[/tex]

[tex]AC=4\sqrt{3}[/tex]

Therefore, the length of AC is [tex]4\sqrt{3}[/tex] units.

9514 1404 393

Answer:

Step-by-step explanation:

EG and IF are assumed to be diameters of the circle. The measures of the two arcs created by a diameter are 180°.

1. There is no M

__

2. arc EF = arc EG -arc FG = 180° -35°

  arc EF = 145°

__

3. Angle EDI is a vertical angle to angle FDG, so has the same measure: 35°. Long arc EGI will be 360° minus the measure arc EI

  arc EGI = 360° -arc EI = 360° -35°

  arc EGI = 325°

__

4. Arc Gi is double the measure of arc GH, so is 38°×2 = 76°. Arc EI is the supplement to this:

  arc EI = 180° -arc GI = 180° -76°

  arc EI = 104°

Answer:

1210

Step-by-step explanation:

13(96)-14+24

l248-38

=1210

Answer:

28 i guess

Step-by-step explanation:

surface area of rectangular prism is

2*(w*l+h*l+h*w)

h is height

l is length

w is width

so if you substitute each with the numbers you will get 29.92

Answer:

Your answer would be:

[tex]5 \sqrt{3} [/tex]

Step-by-step explanation:

because

The steps which you would take to determine if these figures are similar include the following:

2. Multiply the vertices of polygon ABCD by 1/2.

5. Reflect the intermediate image.

In Mathematics and Geometry, a dilation is a type of transformation which typically transforms the dimension (size) or side lengths of a geometric object, without affecting its shape.

Therefore, the dimension or side lengths of the dilated geometric object would be stretched or compressed (shrunk) depending on the scale factor that is applied.

By critically observing the graph representing polygon ABCD, we can logically deduce that a sequence of transformations that would polygon ABCD (pre-image) onto polygon A"B"C"D" (image) is a dilation by a scale factor of 1/2 and a reflection of intermediate image.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

The mean average monthly temperature in City 1 is 48.75°F.

The mean absolute deviation for the average monthly temperature in City 1 is  13.375°F

Step-by-step explanation:

For this case we have the following dataset given:

Average Monthly Temperatures for City 1 (° F)

30, 38, 66, 78, 47, 75, 35, 45, 56, 29, 49, 37

Average Monthly Temperatures for City 2 (° F)

15, 23, 51, 63, 32, 60, 20, 30, 41, 14, 34, 22

For this case the sample mean can be calculated with the following formula:

[tex]$\bar{X}=\frac{\sum_{i=1}^{n} x_{i}}{n}$[/tex]

And replacing we got:

[tex]$\bar{X}_{1}=\frac{30+38+66+78+47+75+35+45+56+29+49+37}{12}=48.75$[/tex]

The mean average monthly temperature in City 1 is 48.75°F.

And now we can calculate the following values:

[tex]$|38-48.75|=10.75$[/tex]

[tex]$|66-48.75|=17.25$[/tex]

[tex]$|78-48.75|=29.25$[/tex]

[tex]$|47-48.75|=1.75$[/tex]

[tex]$|75-48.75|=26.25$[/tex]

[tex]$|35-48.75|=13.75$[/tex]

[tex]$|45-48.75|=3.75$[/tex]

[tex]$|56-48.75|=7.25$[/tex]

[tex]$|29-48.75|=19.75$[/tex]

[tex]$|49-48.75|=0.25$[/tex]

[tex]$|37-48.75|=11.75$[/tex]

And the mean absolute deviation is given by:

[tex]$M A D=\frac{\sum_{i=1}^{n}\left|X_{i}-\bar{X}\right|}{n}=\frac{160.5}{12}=13.375$[/tex]

The mean absolute deviation for the average monthly temperature in City 1 is  13.375°F

Answer:

700 beads are in each bag.

Step-by-step explanation:

Answer:

never heard of that word lol

Step-by-step explanation:

Answer: 105

Step-by-step explanation:

This is an interesting question. I would rewrite it as

In triangle FGH, angle FGH=25° and angle FHG=50. What is the measure of ∠HFG?

In the original question, the answer could technically be 25 or 50 is angle HFG.

Assuming that HFG is not equal to 25 or 50, the answer is 180-25-50, or 105. (the sum of the inner angles of a triangle is 180)

Answer:

x = 8.66

y = 5

Answer:

3.5

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

p=2(l+w)

2(10+15)

50

it is C

Step-by-step explanation:

i did the test

Answer:

The answer is actually B.

Step-by-step explanation:

I have an actual explanation to this! But I don't like dealing with pdfs, also typing it out will be a lot. Ik I am late, but to whomever else needs help that's the answer! Glad to help:)

Answer:

it is quadratic because quadratic describes something that pertains to squares and this equations has the term 'x2'

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

did the math

The side adjacent to ∠W is side WU.

9514 1404 393

Answer:

  (b)  side WU

Step-by-step explanation:

With respect to any given acute angle in a right triangle, the sides of the triangle are called "adjacent", "opposite", or "hypotenuse".

The two sides that form angle W are WU and WV. Side WV is the longest, opposite the right angle, so it is the hypotenuse. Side WU is "adjacent" to angle W, and side UV is "opposite" angle W.

(It can help to note that the name of the opposite side UV does not contain the letter of the angle W. The name of the adjacent side WU does contain the letter of the angle.)

Answer:

A = 82 1/6 in^2 (frac. form)

or

A = 82.17 in^2 (dec. form)

Step-by-step explanation:

A = l*w

A = (14 1/2)(5 2/3)

A = (29/2)(17/3)

A = 82 1/6 in^2 (frac. form)

or

A = 82.17 in^2 (dec. form)

Answer:

39-11=28 so that means X=39

Step-by-step explanation:

all you have to do is add 28+11 which would give you 39 and 39-11+28 and thats your answer

Answer:

x = 39

Step-by-step explanation:

step 1.

Add 11 to both sides

x - 11 = 28

x - 11 + 11 = 28 + 11

step 2. Add the numbers

− 1 1 + 1 1 = 2 8 + 1 1 x{\color{#c92786}{-11}}+{\color{#c92786}{11}}=28+11 x−11+11=28+11 = 2 8 + 1 1 And you'll get 39!

Answer:

12.8 so about 13

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

4/5 of his age = 16

1/5 of his age = 16/4=4

which means that 5/5 of his age = 16+4 = 20

This question is incomplete, the complete question is;

One consequence of the popularity of the Internet is that it is thought to reduce television watching. Suppose that a random sample of 45 individuals who consider themselves to be avid Internet users results in a mean time of 1.98 hours watching television on a weekday. Determine the likelihood of obtaining a sample mean of 1.98 hours or less from a population whose mean is presumed to be 2.35 hours.

Assume that the standard deviation for​ "time spent watching television on a​ weekday" is 1.93 hours.

Answer:

the likelihood of obtaining a sample mean of 1.98 hours or less is  0.0985  

Step-by-step explanation:

Given the data in the question;

x" = 1.98  

μ = 2.35  

s = 1.93

n = 45

so, p( x" < 1.98 ) = P( (x" - μ)/(s/√n) )

we substitute in our values,

p( x" < 1.98 ) = P( (1.98 - 2.35) / (1.93/√45) )

= p( -0.37 / 0.2877

= P(  - 1.29 )

from standard normal table,

P(  - 1.29 ) =  0.0985  

Therefore, the likelihood of obtaining a sample mean of 1.98 hours or less is  0.0985  

Answer:

2x^3 - 7x^2 + 6x - 1

Step-by-step explanation:

Thank me later lol.

Hello!

It is given information that this triangle is a right triangle, meaning that the Pythagorean Theorem can apply here.

[tex]a^2+b^2=c^2[/tex]

We can set the length of a leg as an unknown variable [tex]x[/tex].

[tex]x^2+4^2=(3x)^2[/tex]

Remember that it is the whole [tex]3x[/tex] term being squared, meaning that it'll simplify to [tex]9x^2[/tex], not [tex]3x^2[/tex].

[tex]x^2+16=9x^2[/tex]

[tex]8x^2=16[/tex]

[tex]x^2=2[/tex]

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

This means we can plug back in to find the sides.

The hypotenuse would be [tex]3\sqrt{2}[/tex], or 4.2.

And the legs would be 1.4 and 4, respectively.

Hope this helps!

Answer:

The second group represents function f.

Step-by-step explanation:

Hope it helps...

Have a great day

A function assigns the value of each element of one set to the other specific element of another set. The correct graph is B.

A function assigns the value of each element of one set to the other specific element of another set.

A function from a set X to a set Y allocates precisely one element of Y to each element of X. The set X is known as the function's domain, while the set Y is known as the function's codomain.

The graph that represents the function can be chosen by substituting the values and checking the function.

Hence, the correct graph is B.

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Answer:

21cm3

Step-by-step explanation: