By about how many years did life expectancy increase in the us between 1960 and 2010? 7 years 17 years 27 years

Answer:

A.) X greater than 3/5


Open circles are used for numbers that are less than or greater than (< or >). Closed circles are used for numbers that are less than or equal to and greater than or equal to (≤ or ≥).

Step-by-step explanation:

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The correct inequality that  has an open circle when it is graphed on a number line is,

1) x greater-than three-fifths

We have to given that,

All the expressions are,

1) x greater-than three-fifths

2) Start Fraction 4 over 7 End Fraction greater-than-or-equal-to x

3) x less-than-or-equal-to 12

4) x greater-than-or-equal-to negative 6.

We can write all the inequality as,

1)  x greater-than three-fifths

⇒ x > 3/5

Since, it has symbol '>' which represent open circle.

Hence, It is true.

2) Start Fraction 4 over 7 End Fraction greater-than-or-equal-to x.

4/7 ≥ x

Since, it has symbol '≥' which represent closed circle.

Hence, It is not true.

3) x less-than-or-equal-to 12

x ≤ 12

Since, it has symbol '≥' which represent closed circle.

Hence, It is not true.

4) x greater-than-or-equal-to negative 6.

x ≥ - 6

Since, it has symbol '≥' which represent closed circle.

Hence, It is not true.

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Answer: Commutative Property of Addition

Explanation:

This is the rule which says that we can add two numbers in any order.

For example, 3+2 = 2+3 since both sides result in 5. The rule can be extended to involve variables, because variables are placeholders for actual numbers. Also, the rule can be extended to any number of terms and not just two.

A more generalized form of the rule could be something like x+y = y+x

Answer:

1.05 (0.2x + 1/2y + 0.75z)

Step-by-step explanation:

Finding the cost of each item :

1 Sweatshirt

2 T-shirts

1 Pair of Pants

Now, the final cost (after applying sales tax) is :

Answer:

shippng charge = 60 dollars

Step-by-step explanation:

5%   is .05 in decimal form

.05 x 1200 = 60 dollars

The amount of money Sarah have left written as an expression is 55 - 3m

The amount of money Sarah have left = Amount Sarah received for her birthday - (Number of shirts bought × Cost of each shirt)

= 55 - (3 × m)

= 55 - 3m

The complete question:

Sarah received $55 dollar sign,for her birthday. She used some of that money to buy 3 shirts priced at m dollars each. How much money does Sarah have left? Write your answer as an expression.

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Answer:

Step-by-step explanation:

Based on the triangle proportionality theorem, the true proportion regarding the figure is: B. i/j = h/k

The triangle proportionality theorem states that when two sides of a triangle is intersected by a line that is parallel to the third side of a triangle, the two sides intersected are therefore divided in the same ratio.

TU is parallel to QR. Therefore, based on the triangle proportionality theorem, TU will divide QS and RS in the following ratio: B. i/j = h/k

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Answer:

1) Arithmetic since it decreases by 3 so, -3n + 38.

2) Arithmetic since it decreases by 20 each time, so -20n+17

Step-by-step explanation:

1 and 3 are increasing, 2 and 4 are constant, and 5 is decreasing. And the graph is non-linear.

A function is a statement, rule, or law that establishes the connection between two variables. In mathematics, functions are everywhere and are necessary for constructing physical connections.

The graph represents the journey of a bus from the bus stop to different locations:

Complete sentences to describe the motion of the bus in parts 1, 2, 3, 4, and 5 of the journey.

1 and 3 show that the bus is going to the last station, 2 and 4 show the holding time of the bus at a station, and 5 shows that the bus is returning.

1 and 3 are increasing, 2 and 4 are constant, and 5 is decreasing.

The graph is non-linear.

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Answer:

1/2

total No-4

required number-2

=No of required outcome

No of Normal outcome

=2/4

=2

The sin(-184) can be expressed as cos 86° as a function of a positive acute angle.

To express a trigonometry identity as a function of a positive acute angle, we need to find the quadrant in which that given identity is located.

Here, we have a negative trigonometry identity: Sin (-184)

Recall that:

So, to turn that to a positive sign, we add 360

=sin(-184 + 360)

= sin(176)

To find the positive acute angle, we have:

x = cos(176 - 90)

x = cos 86°

Therefore, we can conclude that the sin(-184) can be expressed as cos 86° as a function of a positive acute angle.

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Answer:

30

Step-by-step explanation:

gave 15 to his friend 30-15=15 his mom bought mom 60 candies so 30

[tex]\text{Given that,}\\\\~~~~~~~\text{Area} = 25\pi\\\\\implies \pi r^2 = 25 \pi\\\\\implies r^2 = 25\\\\\implies r= 5\\\\\text{Now,}\\\\\text{Circumference}= 2\pi r\\\\~~~~~~~~~~~~~~~~~~~~=2\pi \cdot 5\\ \\~~~~~~~~~~~~~~~~~~~~=10\pi[/tex]

If x is between two consecutive integers such that n ≤ x < n + 1, then the greatest integer function [x] maps x to the largest integer smaller than x so that [x] = n.

(i) If x is approaching -2 from above, that means x > -2. As x gets closer to -2, we essentially have -2 < x < -1, so that [x] will approach

[tex]\displaystyle \lim_{x\to-2^+} [x] = \boxed{-2}[/tex]

(ii) However, if x is approaching -2 from below, then x < -2, so that [x] = -3. In other words

[tex]\displaystyle \lim_{x\to-2^-} [x] = -3 \neq -2[/tex]

Because the one-sided limits do not match, the two-sided limit

[tex]\displaystyle \lim_{x\to-2} [x] ~~\boxed{\text{does not exist}}[/tex]

(iii) -2.4 lies between -3 and -2, so

[tex]\displaystyle \lim_{x\to-2.4} [x] = \boxed{-3}[/tex]

Answer:

-2x < 23-7

-2x < 16

-2x÷-2 < 16 ÷ -2

x > -8

Step-by-step explanation:

reduce -28<4w-8

-7<w-2

add +2

-7+2<w-2+2

-5<w

w>-5

Answer:

See below ~

Step-by-step explanation:

Solving the inequality :

Evaluating the given numbers :

-5

5

-9

-1

We know:

[tex]{{ \diamond\diamond \quad{ \boxed{ \pink{ \sf{Volume \: of \: Sphere ={ \large{ \frac{4}{3} \pi {r}^{3} }}}}}}} \quad \diamond \diamond}[/tex]

where,

[tex] \: [/tex]

[tex]{\longrightarrow {\sf{Volume \: of \: Sphere \: = \: { \large {\frac{4}{3} \times \frac{22}{7} \times {6}^{3} }}}}}[/tex]

[tex] {\longrightarrow {\sf{Volume \: of \: Sphere \: = \: { \large{ \frac{88}{21} \times 6 \times 6 \times 6 }}}}}[/tex]

[tex] {\longrightarrow {\sf{Volume \: of \: Sphere \: = \: { \large{ \frac{88}{21} \times 216 }}}}} [/tex]

[tex] {\longrightarrow {\sf{Volume \: of \: Sphere \: = \: { \large{ \frac{19008}{21} }}}}} [/tex]

[tex] {\longrightarrow {\sf{Volume \: of \: Sphere \: = \: { \large{ { \boxed{ \red{ \sf{905.14 {yards}^{3} }}}}}}}}} [/tex]

Thus, The volume of Sphere is 905.14yards³. (Approx.)

Answer:

False

Ab is not perpendicular bisector to bc

Answer:

{27.5, 29, 34}.

Step-by-step explanation:

In order they are

24 27 28 28 29 31 32 36 38

The Median = middle value = 29.

Lower quartile =  mean of 27 and 28 =  27.5.

Upper quartile =  mean of 32 and 36 = 34.

Answer:

{27.5, 29, 34}

Step-by-step explanation:

Arrange in increasing order :

Lower Quartile :

Median :

Upper Quartile :

The histogram shows that the majority of Omar's Final Fitness Team had weight loss between 30 to 49 kg, with only a few members achieving higher weight loss of 60 to 69 kg.

To create a histogram from the given data, follow these steps:

Step 1: Determine the range of the data (largest value - smallest value): Range = 90 - 31 = 59

Step 2: Choose a number of classes for the histogram. A convenient number of classes is usually between 5 and 15. For this data set, we can choose 6 classes.

Step 3: Determine the width of each class by dividing the range by the number of classes:

Class width = Range / Number of classes

Class width = 59 / 6 = 9.83

Round the class width up to 10 to make it a convenient number.

Therefore, the class width is 10.

Step 4: Determine the lower limit of the first class. Choose a value that is equal to or less than the smallest data point.

Lower limit of first class = 30

Step 5: Create the frequency distribution table by counting how many data points are in each class:

| Class Interval | Frequency |

|:----:|:----:|

| 30 - 39 | 2 |

| 40 - 49 | 2 |

| 50 - 59 | 0 |

| 60 - 69 | 2 |

| 70 - 79 | 1 |

| 80 - 89 | 1 |

Step 6: Draw the histogram. On a horizontal axis, mark the class intervals. On the vertical axis, mark the frequency for each class. Draw vertical bars to represent the frequency in each class. Make the bars touch each other so that it shows a continuous distribution.

Here's the histogram of the given data:

```

           Frequency

           |

           |    x

           |    x

   --------|----|----|----|----|---|---

          30   40  50   60   70  80  90

          |        Class intervals       |

```

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The probability of exactly 3 of the containers being defective is given as 0.1468

We have to set p as the  probability of container being non- defective

We have p as the  probability of container being defective 50 - 10 = 40

p = 40/50

= 0.8

q = 10/50

= 0.2

P(3) = 8c3 * 0.2² * 0.8⁵

= 0.1468

Hence the probability that the container has exactly 3 defective containers is 0.1468

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Answer:

$ 10 021 . 65

Step-by-step explanation:

The equation for continuous compounding is   e^(i * t)

   where i = decimal yearly  interest      t = years

   FV  = 5500 e^(.12 * 5) = 10 021 .65

Answer:

Since there isn't any of the following attached, I made my wn attached below

Step-by-step explanation:

Population size: 12

Median: 28.5

Minimum: 23

Maximum: 37

First quartile: 25.5

Third quartile: 30.75

Interquartile Range: 5.25

Outliers: none

Hope this helps you a little more for your last day of finishing hmw :)

Let me know if you need anymore help !

OR have questions

Answer:

In Option A, we can see that the reverse may not be true as the increase in the risk for lung cancer may not necessarily mean an increase in cigarette smoked in a day. For example, high risk of lung cancer may be due to high exposure to asbestos dust too.

In Option B, again we can see that the reverse may not be true as an increase in the height of an infant does not necessarily mean that the age of the infant is increasing too. For example the infant may have a rapid gain in height even if the age is not increasing as rapidly.

In Option C, too, that an increase in the amount of pollution in a city does necessarily mean that the number of vehicles in the city has increased. For example, this increase in pollution may be due to the establishment of a high pollution causing industry in the city or in it's vicinity.

Likewise, in Option D, an increase in the density of water does not necessarily mean that the concentration of salt in the water has increased.

Only in Option E do we see a possible reverse dependence happening because an increase in the phone bill amount does usually mean an increase in the number of calls made by the cell phone.

So, in the given list of Options only in Option E can we reverse the dependent and independent variables while keeping the interpretation of the slope meaningful.

Step-by-step explanation:

This is your answer. I keep hope it will help you

which grade are you studying

Answer:

Can you please tell me what you need done?

Step-by-step explanation:

I would love to help you but it seems you haven't put any information.

Answer:

[tex]A=41\pi\: \text{units}^2\approxA\approx128.8053\:\text{units}^2[/tex]

Step-by-step explanation:

I assume you mean [tex]r=3+8\sin\theta[/tex]:

Use the formula [tex]\displaystyle A=\int\limits^a_b \frac{1}{2} {r(\theta)^2} \, d\theta[/tex] where [tex]a[/tex] and [tex]b[/tex] are the lower and upper bounds and [tex]r(\theta)[/tex] is the equation of the polar curve.

Since the graph is symmetrical about the line [tex]\displaystyle \theta=\frac{\pi}{2}[/tex], let the bounds of integration be [tex]\displaystyle \biggr(-\frac{\pi}{2},\frac{\pi}{2}\biggr)[/tex] to find half the area of the curve, and then find twice of that area:

[tex]\displaystyle A=\int\limits^a_b \frac{1}{2} {r(\theta)^2} \, d\theta\\\\A=2\int\limits^{\frac{\pi}{2}}_{-\frac{\pi}{2}} \frac{1}{2} {(3+8\sin\theta)^2} \, d\theta\\\\A=\int\limits^{\frac{\pi}{2}}_{-\frac{\pi}{2}} 9+48\sin\theta+64\sin^2\theta \, d\theta\\\\A=\int\limits^{\frac{\pi}{2}}_{-\frac{\pi}{2}} 9+48\sin\theta+64\biggr(\frac{1-\cos2\theta}{2} \biggr) \, d\theta\\\\\\A=\int\limits^{\frac{\pi}{2}}_{-\frac{\pi}{2}} (9+48\sin\theta+32-32\cos2\theta) \, d\theta[/tex]

[tex]\displaystyle A=\int\limits^{\frac{\pi}{2}}_{-\frac{\pi}{2}} (41+48\sin\theta-32\cos2\theta) \, d\theta\\\\A=41\theta-48\cos\theta-16\sin2\theta\biggr|^{\frac{\pi}{2}}_{-\frac{\pi}{2}}\\\\[/tex]

[tex]A=\biggr[41\biggr(\frac{\pi}{2}\biggr)-48\cos\biggr(\frac{\pi}{2}\biggr)-16\sin2\biggr(\frac{\pi}{2}\biggr)\biggr]-\biggr[41\biggr(-\frac{\pi}{2}\biggr)-48\cos\biggr(-\frac{\pi}{2}\biggr)-16\sin2\biggr(-\frac{\pi}{2}\biggr)\biggr]\\\\A=\biggr[\frac{41\pi}{2}-24\sqrt{2}\biggr]-\biggr[-\frac{41\pi}{2}+24\sqrt{2}\biggr]\\ \\A=41\pi\\\\A\approx128.8053[/tex]

Thus, the area of the curve is 41π square units. See below for a graph of the curve and its shaded area.

Answer:

(c) x = 15.26

Step-by-step explanation:

a² + b² = c²

8² + 13² = c²

64 + 169 = c²

c² = 233

c = 233 ½

c = 15.26