In the figure, c ∥ d. What are the measures of ∠1 and ∠2? Enter your answers in the boxes.

AlternativeText
m∠1 = °, m∠2 =

Using the z-distribution, as we are working with a proportion, the 90% confidence level estimate for the true proportion of employees in the district who have gotten a flu shot is (0.2355, 0.4784).

As long as there are 10 successes and 10 failures in the sample, that is, [tex]n\pi \geq 10[/tex] and [tex]n(1 - \pi) \geq 10[/tex], a confidence interval of proportions is given by:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which:

In this problem, the parameters are:

[tex]n = 42, \pi = \frac{15}{42} = 0.3571, z = 1.645[/tex]

We have the [tex]n\pi = 15, n(1 - \pi) = 27[/tex], hence you can find the interval.

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3571 - 1.645\sqrt{\frac{0.3571(0.6429)}{42}} = 0.2355[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3571 + 1.645\sqrt{\frac{0.3571(0.6429)}{42}} = 0.4787[/tex]

The 90% confidence level estimate for the true proportion of employees in the district who have gotten a flu shot is (0.2355, 0.4784).

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Using the Fundamental Counting Theorem, it is found that the flags can be displayed in 518,400 ways.

It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

In this problem, we have that odd positions get South American countries, hence:

[tex]n_1 = 6, n_3 = 5, n_4 = 3, \cdots, n_11 = 1[/tex]

Even positions get European countries, hence:

[tex]n_2 = 6, n_4 = 5, \cdots, n_12 = 1[/tex]

Hence, since the number of ways for both the South American and European countries is the factorial of 6, we have that:

N = 6! x 6! = 518,400

The flags can be displayed in 518,400 ways.

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Answer:

cant really solve for it i think

Step-by-step explanation:

to find the slope use the equation

y 2 y- 1 / x2 - x1

300 - 180 / 3 - 5

120 / -2

-60

y = -60x + b

now to find the y-intercept you need another point so umm... you may need to ask your teacher

Answer:

a units

i do rsm and its right

answer: its a because ITS A

Answer:

-14k-14

Step-by-step explanation:

I hope this helps :)

Answer:

-14k - 14

Thats what i got! And i got it right so i really hope that this helps

Answer:

you must changed 4 8 and 3 2

Answer:

It has no size i.e. no width, no length and no depth. A point is shown by a dot. A line is defined as a line of points that extends infinitely in two directions. It has one dimension, length.

Step-by-step explanation:

Hope it helps :)

Have a good day/night

Brainliest pls?

Answer:

- [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

The reciprocal of a number n is [tex]\frac{1}{n}[/tex]

The negative reciprocal is the negative of this, thus

reciprocal of 2 is - [tex]\frac{1}{2}[/tex]

Answer:

28980

Step-by-step explanation:

since 1035: nb of apps uploaded \ 28:days

then ; the rule of whole number multiplication is

1035×28=28980( nb of apps×days)

Answer:

n= -2

Step-by-step explanation:

Answer:

What are the two equations?

Step-by-step explanation:

Once u answer that I'll edit this and answer ur question :)

Answer:

[tex]n = 304[/tex]

Step-by-step explanation:

Given

[tex]y = -15x - 6[/tex]

[tex]Points: (n,-12) \& (4,8)[/tex]

Required

Determine the value of n

First, we need to determine the slope of the given equation.

An equation is of the form;

[tex]y = m_1x + b[/tex]

Where m = slope.

By comparison.

[tex]m_1 = -15[/tex]

Since the given point and the given equation are perpendicular, then:

[tex]m = -\frac{1}{m_1}[/tex]

[tex]m = -\frac{1}{-15}[/tex]

[tex]m = \frac{1}{15}[/tex]

The slope of the point is calculated as thus:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Where

[tex](x_1,y_1) = (n,-12)[/tex]

[tex](x_2,y_2) = (4,8)[/tex]

[tex]m = \frac{1}{15}[/tex]

So, we have:

[tex]\frac{1}{15} = \frac{8 - (-12)}{4 - n}[/tex]

[tex]\frac{1}{15} = \frac{8 +12}{4 - n}[/tex]

[tex]\frac{1}{15} = \frac{20}{4 - n}[/tex]

Cross Multiply

[tex]4 - n = 20 * 15[/tex]

[tex]4 - n = 300[/tex]

Solve for n

[tex]n = 4 + 300[/tex]

[tex]n = 304[/tex]

We need 16 in the given expression to create a perfect square trinomial.

Let us say the given expression is:

[tex]x^{2} +8x +k^2[/tex]...............(1)

We can rewrite the above expression as:

[tex]x^{2} +2*x*4 +k^2[/tex].........(2)

The square of a+b is a²+2ab+b².

If we compare (2) with [tex]a^{2} +2ab+ b^{2}[/tex]

We get, a =x, b = 4 and k²=b²

Since b=4

So, k² =4²

k² =16

Put the value of  k² in (1)

We get the expression [tex]x^{2} +8x +16[/tex]

Therefore, We need 16 in the expression [tex]x^{2} +8x+....[/tex]to create a perfect square trinomial.

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Answer: OPTION C aka 16

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

since KJ is a tangent to angle HJK is right 90°

then triangle KHJ is right triangle with hypothenus HK = 37

applying pytha

hk ² = kj ² + hj ²

37² = 12² + radius²

radius = sqrt (37² - 12²)

radius = sqrt (1225)

radius = 35

Answer:

18

Step-by-step explanation:

Answer:

Step-by-step explanation:what is your question

Heya! Mates....

Where is your questions....?

please post the question....

Lemme follow dear:)

Answer: -4

Step-by-step explanation:

This means we want to find where y=0.

This is at point A, since it has coordinates (-4, 0).

Since A has an x coordinate of -4, f(-4)=0.

Division is one of the most basic arithmetical operators. The amount that Alejandro need to save for each month is $375.

The division is one of the most basic arithmetical operators. When we divide a number (P) by another number(q), then it tells us how many times the other number(q) must be added to itself to form the first number(P).

It is given that the cost of tuition for the two years is $12,000, while the financial aid that Alejandro is eligible for is $7500, therefore, the amount that he will not be able to pay with his scholarship(financial aid) will be the difference in the fees of the student and the financial aid he is getting.

Difference = Two-year tuition fees - Financial Aid

                 = $12,000 - $7,500

                  = $4,500

Now, since Alejandro needs to save for a year so the sum he saves is $4500 therefore, the amount he needs to save each month can be written as,

[tex]\text{Amount Alehjandro needs to save each moth}=\dfrac{\text{Amount that Alejandro need to save}}{\text{Number of months he needs to save}}[/tex]

[tex]\text{Amount Alehjandro needs to save each moth}=\dfrac{4500}{12} = \$375[/tex]

Hence, the amount that Alejandro need to save for each of the month so that he can pay his tuition fee is $375.

Learn more about Division:

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Answer:

0.5 or 1/2

Step-by-step explanation:

so we make 6/8 have the same denominator as 1/4 (but if you want to make it harder sure make 1/4 have the same denominator loll)

6/8 = 3/4

3/4 - 1/4 = 2/4 = 1/2

Answer:

0.5 or 1/2

Step-by-step explanation:

hope this he's you

Answer:

see below

Step-by-step explanation:

f(x)=3log(x−7)+1

There is no y intercept

log (x) does not intercept the y axis.  This shifts the function 7 units to the right so the graph will not intercept the y axis

Answers:

His first statement is incorrect

His second statement is correct.

======================================

Explanation:

The first statement is incorrect because plugging x = 0 into f(x) leads to

f(x) = 3*log(x-7)+1

f(0) = 3*log(0-7)+1

f(0) = 3*log(-7)+1

We stop here because we cannot take the log of a negative number (unless you want a complex number but that's for another time). This means that x = 0 is not in the domain. The domain is x > 7 to ensure that x-7 > 0. That way we avoid taking the log of a negative number, and taking the log of zero as well.

The vertical asymptote is at x = 7 and the log curve is entirely to the right of it, so there's no way it's reaching the y axis.

Simply put: there is no y intercept for this function.

---------------------

The second statement is correct.

The function y = log(x) has y go off to infinity when x does.

The same applies to y = 3log(x) and y = 3log(x-7) and y = 3log(x-7)+1

We can say it "rises to the right" as another way of describing part of the end behavior.

A graph can confirm this as shown below.

Answer:

1. 43/2

2. 371/50

3. 31/8

Answer:

35000

Step-by-step explanation:

Convert 25m to cm

25m = 2500cm

2500 x 7 = 17500cm

Convert 17500cm to m

17500cm = 175m^2

Now take 175m^2 x 200

35000

2x,3x and -4z

-24x^2z is the answer

Given :

To find :

Solution :

We know,

[tex]{\qquad \dashrightarrow{ \bf{Area_{(Trapezoid)}= \dfrac{1}{2 } \times (b_{1} + b_{2}) \times h} }}[/tex]

Now, Substituting the values :

[tex]{\qquad \dashrightarrow{ \bf{Area_{(Trapezoid)}= \dfrac{1}{2 } \times (20 + 14) \times 5} }}[/tex]

[tex]{\qquad \dashrightarrow{ \bf{Area_{(Trapezoid)}= \dfrac{5}{2 } \times 34} }}[/tex]

[tex]{\qquad \dashrightarrow{ \bf{Area_{(Trapezoid)}= \dfrac{5}{ \cancel2 } \times \cancel{34}} }}[/tex]

[tex]{\qquad \dashrightarrow{ \bf{Area_{(Trapezoid)}=5 \times 17} }}[/tex]

[tex]{\qquad \dashrightarrow{ \bf{Area_{(Trapezoid)}=85} }}[/tex]

Therefore,

Answer:

85cm²

Step-by-step explanation:

Here we are given a trapezium with base = 20cm and 14cm and height = 5cm . And we are interested in finding the area of the trapezium .

Figure :-

[tex]\setlength{\unitlength}{1.5cm}\begin{picture}\thicklines\qbezier(0,0)(0,0)(1,2.2)\qbezier(0,0)(0,0)(4,0)\qbezier(3,2.2)(4,0)(4,0)\qbezier(1.5,2.2)(0,2.2)(3,2.2)\put(0.8,2.4){$\bf A $}\put(3,2.4){$\bf D $}\put(-0.3,-0.3){$\bf B$}\put(4,-0.3){$\bf C$}\put(4.4,0){\vector(0,0){2.2}}\put( 4.4, 0){\vector(0,-1){0.1}}\put(4.6,1){$\bf 5\ cm$}\put(0, -0.5){\vector(1,0){4}}\put(0, -0.5){\vector( - 1, 0){0.1}}\put(1.7, - 0.9){$\bf 20\ cm $}\put(0.8, 2.8){\vector(1,0){2.5}}\put(0.8, 2.8){\vector( - 1, 0){0.1}}\put(1.7, 3){$\bf 14\ cm $}\end{picture} [/tex]

As we know that the area of trapezium is given by ,

[tex]\longrightarrow\rm Area =\dfrac{1}{2}(sum \ of \ || \ sides)\times height [/tex]

Substitute the respective values in stated formula,

[tex]\longrightarrow\rm Area =\dfrac{1}{2}(20cm +14cm)5cm \\[/tex]

Solve the parenthesis ,

[tex]\longrightarrow\rm Area =\dfrac{1}{2}\times (34cm)(5cm)[/tex]

Simplify by multiplying ,

[tex]\longrightarrow\rm \underline{\underline{\red{{Area = 85\ cm^2}}}}[/tex]

And we are done !

[tex]\rule{200}4[/tex]

Answer:

34/9 or 3 7/9

Step-by-step explanation:

to do this u must turn 5 2/3 into an improper fraction first

5 2/3 is also 17/3

to divide you can multiply the first number by the second numbers reciprocal or flipped numbers

17/3 * 2/3

you flipped 3/2 to make it 2/3

for 17/3 * 2/3 just multiply across

34/9

then you can make that a mixed number

3 7/9

that is your answer

Answer:

the answer is 3 7/9

Step-by-step explanation:

in order to find the answer to this you need to change the mixed fraction into a improper fraction then do the reciprocal on 3/2 would would change to 2/3. Then, since you cant divide fractions you need to multiply 17/3×2/3 which would give you 34/9. But since 34/9 is improper, you need to change it to a mixed fraction and simplify if you can. So that means your final answer should be 3 7/9

♡--------------------------------------------------♡

the value of x is 120 ....

1. 54

2. 4

3. 2

4. 60

5.46

Answer:

1. 54

2. 4

3. 2

4. 60

5.46

Answer:yes

Step-by-step explanation:

It does show a proportion relationship because it has an upward growth of approximately 5.99999483838and 6x so if you do that together in your calc then you can get that answer please vote 5 stars.

Answer:

The first study was an observational study whereas the second was a controlled experiment.

I just took the test and it was right.

The first study was an observational study whereas the second was a controlled experiment.

Study is the devotion of time and attention to gaining knowledge of an academic subject, especially by means of books.

Here, given that,

In one study on the effect of coconut oil on hair growth, 140 subjects who acknowledged being long-time coconut oil users had their hair growth compared with those of 140 people who had never used coconut oil.

In a second study, 80 subjects were randomly chosen to use coconut oil and 80 were chosen to use a placebo.

Hence, The first study was an observational study whereas the second was a controlled experiment.

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#SPJ2

Answer:

A=96

Step-by-step explanation: