Out of 500 people sampled, 395 had kids. Based on this, construct a 95% confidence interval for the true population proportion of people with kids.

Give your answers as decimals, to four places

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Answer:

11)  [tex]y=-(x-6)^2+4[/tex]

12)  [tex]y=(x+5)^2[/tex]

Step-by-step explanation:

Vertex form of a parabola:  

[tex]y=a(x-h)^2+k[/tex]  where (h, k) is the vertex

From inspection of the graph, the vertex is (6, 4)

[tex]\implies y=a(x-6)^2+4[/tex]

To find [tex]a[/tex], substitute the coordinates of a point on the curve into the equation.

Using point (4, 0):

[tex]\implies a(4-6)^2+4=0[/tex]

[tex]\implies a(-2)^2+4=0[/tex]

[tex]\implies 4a=-4[/tex]

[tex]\implies a=-1[/tex]

Therefore, the equation of the parabola in vertex form is:

[tex]y=-(x-6)^2+4[/tex]

From inspection of the graph, the vertex is (-5, 0)

[tex]\implies y=a(x+5)^2[/tex]

To find [tex]a[/tex], substitute the coordinates of a point on the curve into the equation.

Using point (-3, 4):

[tex]\implies a(-3+5)^2=4[/tex]

[tex]\implies a(2)^2=4[/tex]

[tex]\implies 4a=4[/tex]

[tex]\implies a=1[/tex]

Therefore, the equation of the parabola in vertex form is:

[tex]y=(x+5)^2[/tex]

We need equation of the parabolas

#1

One x intercept is present (4,0)

Now put that in vertex form of parabola

So

equation

#2

So equation

See the general quadratic equation having vertex (0,0) is shifted to (-5,0) means 5 units left .

So there is no a means a=

Equation remains same

Answer:

6x+4

Step-by-step explanation:

I hope this helps! If it does, please mark me Brainliest! Thanks in advance!

Answer:

6x+4

Step-by-step explanation:

2(3x+2)

2*3x + 2*2

6x + 4

Answer:

x = 24°

Step-by-step explanation:

angle BOC + angle BOA = 180°

angle BOC = 156°, angle BOA = x°

so x + 156° = 180°

=> x = 180° - 156° = 24°

so the measure of angle x is 24°

HOPE THIS HELPS AND HAVE A NICE DAY <3

Answer: x + 24

Step-by-step explanation:

Answer:

The terms in pattern Y are 2 times the terms in pattern X

Step-by-step explanation:

Answer:

The answer would be .39

Step-by-step explanation:

So first we have to know the eqation to finding the area of a semicircle, this would be:

2r x π  ÷ 2 (r stands for radius)

Ok so since our diameter is 2 we need to divide that in half to find our radius which we would then get .5

And then you we would fill in the blanks and make our eqaution :

2 x 0.5 x 3.14  ÷ 2 which would give us the answer of .39

i have no idea if this is right so pls lmk!

Answer:

i dont know

Step-by-step explanation:

it confusing is it even a question

keeping in mind that there are 52 weeks in a year.

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$750\\ r=rate\to 4.2\%\to \frac{4.2}{100}\dotfill &0.042\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{weekly, thus fifty-two} \end{array}\dotfill &52\\ t=years\dotfill &10 \end{cases}[/tex]

[tex]A=750\left(1+\frac{0.042}{52}\right)^{52\cdot 10}\implies A=750\left( \frac{26021}{26000} \right)^{520} \\\\\\ \stackrel{\textit{\Large Amounts}}{\stackrel{accumulated}{750\left( \frac{26021}{26000} \right)^{520}}~~ - ~~\stackrel{original}{750}} ~~ \approx ~~ \stackrel{earned~interest}{391.28}[/tex]

Answer:

Step-by-step explanation:

[tex]3^2=3\cdot3=9\\\\2^3=2\cdot2\cdot2=8\\\\3^2+2^3=9+8=17[/tex]

Answer:

17

Step-by-step explanation:

Solving

Answer:

Probability = 9/25

This is 36%

Step-by-step explanation:

To find the probability take the total number of possibilities (25 marbles--all of them) put that number on the bottom of a fraction. Then put the number of ways that outcome can happen (9 blue and black) and put that on top of the fraction.

Probability(event)

= specific/total

Probability(blu&blk)

= 9/25

If the fraction can be simplified, do that. 9/25 cannot be simplified.

If you need a percent for your answer, divide then multiply by 100.

A fraction bar is a division symbol.

9/25 means 9÷25.

9/25 = .36

Percent means "per hundred" To convert a decimal to a percent, multiply by 100

.36×100 is 36%

Answer: D: Passing laws for credit card companies to follow.

Step-by-step explanation:

Answer:

$5

Step-by-step explanation:

Conditions

In the currency bills are printed as : $1, $5, $10, $20, $50, $100

Hence, the largest amount he could give the woman is $5

Answer:Cant help with that awnser due to its a test. Figure it out your self or ask your teacher for heLp! L

Step-by-step explanation:

Answer--[4]

Step-by-step explanation:

Because if the bottom one is 4 yards then the top one needs to be 4 yards.

Answer:

2144.66

Step-by-step explanation:

Answer:

2144.93yd^3

Step-by-step explanation:

[tex]volume \: of \: a \: spher = \frac{4}{3} \pi \: r {3}^{} \\ radius \: r = \frac{16}{2} = 8yd \\ volume = \frac{4}{3} \times 3.142 \times 8 {}^{3} \\ volume = \frac{6434.816}{3} = 2144.93yd {}^{3} [/tex]

The amount of calories that Jessica burns each hour of her hike is 196.33 calories.

Division is when a number is grouped into equal groups using another number. The sign used to denote division is ÷.

Calories burn per hour = 589 / 3 = 196.33 calories.

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Answer:

2,048 cm

Step-by-step explanation:

There are 4 weeks in a month, and the fish doubles in length every week

Let's put this into a table: (attached picture)

First we start off at 0.5 cm in week 0 (this is week 0 because you just bought the fish).

Then, the length doubles in week 1, so the fish becomes 1 cm.

In week 2, the fish's length doubles again to become 2 cm.

In week 3, the length doubles to become 4 cm.

So on, and so on until we reach a length of 2048 cm.

Therefore, after 3 months the fish's length will be 2,048 cm.

I hope this helps! Good luck, and if you have any questions please let me know in the comments!

Answer:

(-1, 3)

Step-by-step explanation:

x - 5y = -16  [Equation 1]

-x + 3y = 10 [Equation 2]

Adding both equations

Solution : (-1, 3)

Solving for x and y,

→ (x - 5y = -16) + (-x + 3y = 10)

→ x - 5y - x +3y = -16 + 10

→ -2y = -6

→ y = -6/-2

→ [ y = 3 ]

Finding the value of x,

→ x - 5y = -16

→ x - 5(3) = -16

→ x - 15 = -16

→ x = -16 + 15

→ [ x = -1]

___________________

→ -x + 3y = 10

→ -x + 3(3) = 10

→ -x + 9 = 10

→ -x = 10 - 9

→ [ x = -1 ]

Arranging them in ordered pair,

→ (x,y)

→ (-1,3)

Thus, the solution is (-1,3).

Answer:

1,-1  1,-3 6,1

Step-by-step explanation:

keep the eruos

Answer:

36%

Step-by-step explanation:

the complement of it raining on at least one of these days = it not raining on any day

this means that if it does not rain on at least one day, it does not rain on any day

thus,

1 - probability of it not raining at all = probability it rains at least one day

probability it doesn't rain on monday = 1- 20% = 80%

probability it doesn't rain on tuesday = 1 - 20% = 80%

probability it doesn't rain on monday AND it doesn't rain on tuesday = probability it doesn't rain at all

P(A and B) = P(A) * P(B) = 0.8 * 0.8 = 0.64

1 - 0.64 = 0.36 as our answer

Answer:

answer deleted again

Step-by-step explanation:

Answer:

900 is the answer.

Answer:

24

Step-by-step explanation:

Applying the distance formula, the perimeter of the plot of land, rounded to the nearest tenth, is: 482.8 ft.

Distance formula is given as: [tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex].

Name the coordinates of the plot of and as follows:

A (0, 120)

B (140, 100)

C (140, 20)

D (0, 0)

Perimeter of the plot of land = AB + BC + CD + AD

AD = |120 - 0| = 120 ft

BC = |100 - 20| = 80 ft

Use the distance formula to find AB and CD:

AB = √[(140−0)² + (100−120)²]

AB = √20000

AB = 141.4 ft

CD = √[(140−0)² + (20−0)²]

CD= √20000

CD = 141.4 ft

Perimeter of the plot of land = 141.4 + 141.4 + 120 + 80 = 482.8 ft.

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Answer:

72 degrees

Step-by-step explanation:

180-108=72

Hope this helps!

Answer:

Step-by-step explanation:

m<2 + 108 = 180

m<2 = 72

Answer:

-2,2

Step-by-step explanation:

-2, 2, the X-intercepts

Answer:

Step-by-step explanation:

(-1) × (-1) × (-1) × (-1) × (-1) =

1 * (-1) * (-1) * (-1) =

-1 * (-1) * (-1) =

1 * (-1) =

-1

Answer:

y = x + 16

Step-by-step explanation:

1. Find slope: 1

2. Find y intercept by plugging in 2 points using slope intercept formula: 16

3. Plug in the information that you have into your formula: y = x + 16

The values of the expression for x = 2, -3, 6, -5 are -10, -12, 6 and -16, respectively

The expression is given as:

f(x) = 2x - 6

When x = -2, we have:

f(-2) = 2(-2) - 6 = -10

For other values of x, we have:

f(-3) = 2(-3) - 6 = -12

f(6) = 2(6) - 6 = 6

f(-5) = 2(-5) - 6 = -16

Hence, the values of the expression for x = 2, -3, 6, -5 are -10, -12, 6 and -16, respectively

Read more about expressions at:

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Step-by-step explanation:

come in ! think a little bit by yourself !

when x = 1, what is f(x) ?

it is f(1) = 1² = 1

what is then g(x) ?

g(1) = 1/4 × f(1) = 1/4 × 1 = 1/4

when x = 2, what is f(x) ?

f(2) = 2² = 4

what is then g(x) ?

g(2) = 1/4 × f(2) = 1/4 × 4 = 1

and equally for x = -1 and -2.

a square function always delivers positive numbers. and so does the square function multiplied by a positive constant (like for g(x)).

the only graph, where the curve is always above the x-axis (only positive results), and where the functional value for x = 1 is much smaller than 1, and the functional value for x = 2 is actually 1, is graph D.

so, D is the right answer.

[tex]25 {x}^{2} - 49 {y}^{2} [/tex]

[tex] {a}^{2} - {b}^{2} = (a + b)(a - b)[/tex]

[tex]a = 5x[/tex]

[tex]b = 7y[/tex]

[tex]25 {x}^{2} - 49 {y}^{2} [/tex]

[tex] = (5x - 7y) {}^{2} [/tex]

[tex] = (5x - 7y)(5x + 7y)[/tex]

hence, the correct answer is option B

linear pair angles are supplementary