There are 16 boys in an English class of 28 students. The ratio of boys to the total number of students in this class is typical of the whole school. There are 476 students in the school. About how many are boys?

Proportions In Word Problems

—In the picture, when I wrote at the top: “B” is for the boys in the equation and the “S” is for the students in the English class, if anyone was wondering what that meant—

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).

More can be learned about the z-distribution at https://brainly.com/question/25890103

Answer:

28.18, rounding it, it would be 28.2 cubic inches

Step-by-step explanation:

V=Pir^2(h/3)

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: B

Step-by-step explanation:

Answer:

104 robberies

Step-by-step explanation:

No of robberies last year = 171

Robberies for this year reduced by 39%

Percentage robberies of this year reduced to 39%

39% * 171

= 39/100 * 171

= 66.09

That is to say that this year robberies reduced by 66.09

Therefore this year robberies = 171 - 66.09

= 104.31

= 104 to the nearest

whole number

NOTE: don't forget to put the approximation sign in the final answer

1. 54

2. 4

3. 2

4. 60

5.46

Answer:

1. 54

2. 4

3. 2

4. 60

5.46

Answer:

230.45

Step-by-step explanation:

81.19% × 283.84

= 0.8119 × 283.84

= 230.45

Answer:

Step-by-step explanation:

Solving steps81.19 % of 283.84

Step 1: Find the percentage value

=> [tex] \frac{283.84}{1} \times \frac{81.19}{100}\\ [/tex]

=> [tex] \frac{23,044.9696}{100}\\ [/tex]

Step 2: Round to 2 dp(decimal points)

=> 230.45

Answer:

0.7×8.3×2.5÷100×10.7

Step-by-step explanation:

0.7×8.3 =

10.7×2.5

all divided by 100

Answer:

it's B. 8.3

Step-by-step explanation:

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

Answer: 15

Step-by-step explanation:

Answer:

7.7

Step-by-step explanation:

Answer:

7:7

Step-by-step explanation:

Answer:

you must changed 4 8 and 3 2

Answer:

(9, -8)

step-by-step explanation:

if reflected over y-axis, use the formula: (x, y) → (-x, y)

Answer:

i) 2.3× 10⁻¹²

ii)2.3× 10¹⁰

iii)2.3× 10¹³

iv)2.3× 10⁻¹¹

Step-by-step explanation:

The degree and power depends on the position of the decimal. The degree of 10 is negative when the decimal is before 23 and is positive when it's after 23.

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.

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.

To get more about polynomials visit:

https://brainly.com/question/2833285

Answer: OPTION C aka 16

Step-by-step explanation:

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

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

Answer:

n= -2

Step-by-step explanation:

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:

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:

Profit on cost will be = 33.33%

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]

The error Luke made when trying to use Cavalieri's principle to show that the two figrues have the same volume is stating that: "corresponding cross-sections have the same area" which is NOT TRUE.

The Cavalieri's principle was named after Bonaventura Cavalieri. The Cavalieri's principle states the volume of two figures are the same if they have the same height and teh same cross-sectional area at every point along the height.

Thus, the two figures have entirely different cross-sectons. Their areas would be diffrent.

Therefore, the error Luke made when trying to use Cavalieri's principle to show that the two figrues have the same volume is stating that: "corresponding cross-sections have the same area" which is NOT TRUE.

Learn more about Cavalieri's principle on:

https://brainly.com/question/2279671

Answer:

the height

Step-by-step explanation:

Answer from cadencewest69. thanks cadencewest69!!!  :)

It will represent the change in temperature between midnight and 6, the correct option is C.

H(t) is the rate at which the temperature changes. So, if we integrate H(t), we will get the change of temperature.

In this case, we have:

[tex]\int\limits^6_0 {H(t)} \, dt[/tex]

This will give the change in temperature between 6:00 AM (represented by the 6) and midnight (represented with the 0).

So the correct option is C.

If you want to learn more about integration, you can read:

https://brainly.com/question/18760518

last year deficit x 0,70 = 257,943

so

last year deficit = 368,490

- 30% = x (1 - 30%) = x 0,70

Answer:

ok if I did this right the answer should be 675. sorry if it's wrong. I hope it's right.

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.