A student wants to survey the sophomore class of 200 students about whether the school should require uniforms. A
random sample of 50 sophomores is surveyed and asked whether they support the school adopting uniforms. Of
the 50 sophomores, 12 say they would favor school uniforms. Assuming the conditions for inference have been met,
what is the 90% confidence interval for the true proportion of sophomores who favor the adoption of uniforms?
0.24 +1.96
0.24(1-0.24)
200
O 0.7601.964
0.76(1 -0.76)
200
O 0.24 +1.657
0.24(1-0.24)
50
O 0.76 +1.95
0.76(1-0.76)
50

Answer:

more girls than boys.

Step-by-step explanation:

because there is 95 girls compared to 65 boys, so whatever random numbers of both are pulled, girls will have the higher ratio.

Divide total made by total hours:

20.40 / 3 = $6.80 per hour

Answer:

See below.

Step-by-step explanation:

Divide the amount of money by the time.

20.4/3=6.8

So, alex earned $6.80 per hour.

-hope it helps

The area of the considered 3 triangles is given by: Option B: 13 sq. units.

Suppose the vertices of the considered triangle ABC are on [tex]A(A_x,A_y), B(B_x,B_y), C(C_x,C_y)[/tex], then, the area of the triangle is given by:

[tex]Area = \dfrac{|A_x(B_y-C_y) + B_x(C_y-A_y) + C_x(A_y-B_y)|}{2}[/tex]

For this case, the missing image is attached below.

The second and third triangle are easy as their base and height are parallel to x or y axis.

We will find area of third triangle by coordinates of its vertices.

Getting area of first triangle:

Thus, we get:

[tex]Area_{ABC} = \dfrac{|4(7-8) + 5(8-10) + 7(10-7)|}{2} = \dfrac{7}{2} = 3.5 \: \rm unit^2[/tex]

Area of second triangle = [tex]\dfrac{|RS| \times h}{2}[/tex]base, and h is the perpendicular line connecting from line RS and the vertex T

From figure we see:

|RS| = 3 units, h = 3 units

Thus, area of second triangle = [tex]3 \times 3 /2 = 4.5 \: \rm unit^2[/tex]

Area of third triangle = [tex]\dfrac{|XY| \times h}{2}[/tex] where XY is base, and h is the perpendicular line connecting from line XY and the vertex Z

From figure we see:

|XY| = 5 units, h = 2 units

Thus, Area of third triangle = [tex]5 \times 2 /2 = 5 \: \rm unit^2[/tex]

Total area = 3.5 + 4.5 + 5  = 13 sq. units

Thus, the area of the considered 3 triangles is given by: Option B: 13 sq. units.

Learn more about area of a triangle from its vertices' coordinates here:

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Answer:

13

Step-by-step explanation:

Answer:

11/30

Step-by-step explanation:

Do you need an explanation?

Answer:

( 6(x)² + 12(x) - 90 ) ft³

Explanation:

addition problem: 2(x)² + 12(x) + 10 + 4(x)² - 100

total volume of water:

Answer:

a)  [tex]\sf total \ volume \ of \ pool= (2x^2+12x+10)+(4x^2-100) \ ft^3[/tex]

b)  [tex]\sf total \ volume \ of \ pool =(6x^2+12x-90) \ ft^3[/tex]

Step-by-step explanation:

Given:

a)  Total volume of water = deep end volume + shallow end volume

[tex]\implies \sf total= (2x^2+12x+10)+(4x^2-100)[/tex]

b) Simplify:

[tex]\sf \implies 2x^2+12x+10+4x^2-100[/tex]

Collect like terms:

[tex]\sf \implies 2x^2+4x^2+12x+10-100[/tex]

Combine like terms:

[tex]\sf \implies 6x^2+12x-90[/tex]

Answer:

The equation of the line is y = 2x + 2

Step-by-step explanation:

Equation of a linear line can be placed in the format:

Formula for finding the slope(m):

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

[tex] \sf{}m = \frac{8 - 4}{5 - 3} = \cancel \frac{4}{2} = 2[/tex]

Form the intermediate equation:

y = mx + c

[tex] \mathtt{y = 2x + c}[/tex]

Find the y-intercept:

Substitute (3,4) into the equation

[tex] : \longrightarrow \: \mathtt{y = 2x + c} \\ \\ : \longrightarrow \:\mathtt{4 = 2(3) + c} \\ \\ : \longrightarrow \: \mathtt{4 = 6 + c} \\ \\ : \longrightarrow \: \mathtt{c = 6 - 4} \\ \\ : \longrightarrow \: \mathtt{c = 2}[/tex]

Form the equation:

[tex]: \longrightarrow \: \mathtt{y = 2x + c} \: \\ \\ \mathtt{putting \: values \: of \: c} \\ \\ : \longrightarrow \: \mathtt{y = 2x + 2}[/tex]

The equation of the line is [tex]\underline\mathfrak\red{{{y = 2x + 2}}}[/tex]

Answer:

Hope the picture will help you......

Using an exponential function, it is found that the approximate number of crimes in the year of 2016 was of 2502.

An increasing exponential function is modeled by:

[tex]A(t) = A(0)(1 + r)^t[/tex]

In which:

In this problem, there were 550 crimes in the initial year observed, and the growth rate is of 6%, hence the parameters are A(0) = 550, r = 0.06, and the equation is given by:

[tex]A(t) = A(0)(1 + r)^t[/tex]

[tex]A(t) = 550(1 + 0.06)^t[/tex]

[tex]A(t) = 550(1.06)^t[/tex]

2016 is 26 years after 1990, hence:

[tex]A(26) = 550(1.06)^{26} \approx 2502[/tex]

The approximate number of crimes in the year of 2016 was of 2502.

More can be learned about exponential functions at https://brainly.com/question/25537936

Answer:

slope: 2

slope:

[tex]\sf \dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\rightarrow \sf \dfrac{12-4}{6-2}[/tex]

[tex]\rightarrow \sf \dfrac{8}{4}[/tex]

[tex]\rightarrow 2[/tex]

Answer: x = 4ooo sin 340 x = 223627 ft.

Step-by-step explanation: The angle between the waterline and the submarine is 34°. How deep is the submarine?

Answer:

92.9

Step-by-step explanation:

8.90 times 6 equals 53.40

7.90 times 5 equals 39.50

39.50 plus 53.40 equals 92.9

Answer:

The scale factor is 2.

Step-by-step explanation:

From the coordiante plane, we can see that:

Point H(4) has been expanded to 4 {4 · 2 = 8}

Point G(1) has been expanded to 2 {1 · 2 = 2}

Point I(-2) has been expanded to -4 {-2 · 2 = -4}

hope this helps!

Answer:

12×3=36

Step-by-step explanation:

hope ththis helped :))

Answer:

so i just went on spreadsheets and created this and screenshotted it i hope this helps

Step-by-step explanation:

Answer:

38.5

Step-by-step explanation:

to find the area of the triangle, you can do 11 x 3 ÷ 2 = 16.5

then you find the area of the triangles: 3 x 3 = 9

and 3 × 11 = 33

then you add them all to find a total area of 38.5

Answer:

[tex]f(x)=500*(.057)^x[/tex]

Step-by-step explanation:

[tex]\huge\fbox\purple{ANSWER} [/tex]

[tex] \mathsf\pink{v = l \times w \times h}[/tex]

[tex] \mathsf \purple{{72in}^{3} = c \times 4in \times 3in}[/tex]

[tex] \mathsf \pink{ {72in}^{3} = c \times 12 {in}^{2} }[/tex]

[tex] \mathsf \purple{ \frac{72 {in}^{3} }{ {12in}^{2} } = c \times \frac{12 {in}^{2} }{ {12in}^{2} } }[/tex]

[tex] \mathsf \pink{6in = c}[/tex]

[tex] \huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }[/tex]

[tex] \boxed{ \pink✠\underline{ \boxed{ \sf{Volume \: of \: Rectangular \: prism=length × width × height.}}} \pink✠}[/tex]

[tex]\rule{80mm}{2.5pt}[/tex]

[tex] \qquad \sf \: ➛ 72 = c \times 4 \times 3 \\ \qquad \sf \: ➛72 = c \times 12 \\ \qquad \sf \: ➛transporting \: 12 \: in \: divide \\ \qquad \sf \: ➛ \frac{72}{12} = c \\ \qquad \sf \: ➛ \cancel\frac{72}{12} = c \\ \qquad \sf \: ➛6 = c[/tex]

[tex]\rule{80mm}{2.5pt}[/tex]

★ Hence "c" (length) of Rectangular prism (shipping carton) is

[tex]\boxed{ \blue✜\underline{ \boxed{ \sf{length(c)= 6inch \green✓}}} \blue✜}[/tex]

Hope it helps !

2

x-9 = -5

2=x 2+x + 4-2=2 2-6+

-4

2

X

Answer:

The answer is [tex]13\pi[/tex] or 40.84

Step-by-step explanation:

We are given the diamater so

[tex]r=\frac{d}{2}[/tex]

[tex]r=\frac{13}{2}[/tex]

[tex]r=6.5[/tex]

Formula for circumference.

Take note.

C = circumference

r = radius

[tex]C=2\pi r[/tex]

You want your answer in terms of Pi.

So we can write another equation.

[tex]2\pi r=\pi x[/tex]

x stands for the number in terms of Pi.

Now we can solve for x.

[tex]x=\frac{2\pi r}{\pi }[/tex]

Now lets plug in what we know.

[tex]x=\frac{2*\pi*6.5 }{\pi }[/tex]

[tex]x=13[/tex]

Given the height and the side length of the square pyramid, the length of s is 12.81 cm.

A square pyramid is a three-dimensional object that is made up of a square base and four triangular bases that are joined together at a vertex.

S in the diagram represents the slant height of the square pyramid.

The formula that can be used to determine the slant height is:

s² = r² + h².

Where:

r = side length / 2 = 16/2

s = √8² + 10²

s = 12.81 cm

To learn more about a pyramid, please check: https://brainly.com/question/9222686

Assuming you pick 3 students at random, The probability that at least two plan on attending college is 84%.

Using Binomial Distribution

Given:

n = 3

p = 0.75

q = 1-0.95 = 0.25

Hence:

P[≥2] = P[2] + P[3]=(3c2 ×0.75²×0.25) + 0.75³

P[≥2] = P[2] + P[3]=0.421875+0.421875

P[≥2] = P[2] + P[3]=0.84375×100

P[≥2] = P[2] + P[3]=84% (Approximately)

Inconclusion the probability that at least two plan on attending college is 84%.

Learn more about probability here:https://brainly.com/question/24756209

Answer: 200

Step-by-step explanation:

The initial value is 200, since this is the population before conservation efforts began.

Using the t-distribution, as we have the standard deviation for the sample, it is found that the p-value is of 0.0009.

At the null hypothesis, it is tested if the students study 20 hours, that is:

[tex]H_0: \mu = 20[/tex].

At the alternative hypothesis, it is tested if they study less than 20 hours, that is:

[tex]H_1: \mu < 20[/tex].

The test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

The parameters are:

In this problem, the values of the parameters are given as:

[tex]\overline{x} = 17.7, \mu = 20, s = 3.9, n = 33[/tex].

Hence, the value of the test statistic is:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{17.7 - 20}{\frac{3.9}{\sqrt{33}}}[/tex]

[tex]t = -3.39[/tex]

Using a t-distribution calculator, considering a left-tailed test, as we are testing if the mean is less than value, the p-value is of 0.0009.

More can be learned about the t-distribution at https://brainly.com/question/13873630

Answer:

just practice alot . .. ...........

Answer:

you could do all your work and try to ask the teacher for help

Step-by-step explanation:

Answer: B

Step-by-step explanation:

Original price = $7200

But he bought it for 65%

So it is just 65% of $7200

0.65 * $7200 = $4680

Answer:

y=3x

Step-by-step explanation:

hello :

an equation is : y=ax  (  the line that passes through (0, 0) )

and (2, 6): x= 2   y=6     qo : 6 = a ×2        a =3

an equation of the line that passes through (0, 0) and (2, 6) is : y=3x

The equation of the line passing through the points (0, 0) and (2, 6) is:

y = 3x.

The equation of a line is a relation between the dependent variable y and an independent variable x, used to determine the value of y for a given x. The general form of such an equation is,

y = mx + b, where m is the slope and b the y-intercept.

The two-point formula is the formula used to determine the equation of a straight line when the slope m and the y-intercept b are not given, but we know two points on the line.

The formula is such: y-y₁ = ((y₂-y₁)/(x₂-x₁))*(x-x₁).

We have been given two points on the required line, (0, 0) and (2, 6)

We take the points as (x₁, y₁), and (x₂, y₂) respectively.

∴ x₁ = 0, x₂ = 2, y₁ = 0, y₂ = 6.

Since it's an equation of a line, we use the two-point method to determine the equation.

The two-point formula is:

y-y₁ = ((y₂-y₁)/(x₂-x₁))*(x-x₁)

Substituting the values we have, we get:

y - 0 = ((6-0)/(2-0))*(x-0)

or, y = 3x.

∴ The equation of the line passing through the points (0, 0) and (2, 6) is:

y = 3x.

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Answer: 1 tire would cost 68$

Step-by-step explanation:

can I have brainliest pls <3

Answer:

here we've been given the cost of 4 tires. and we've to find the cost of one tire.

in such a situation , we usually divide the cost of " n " number of tires by " n " ( where , n = number of tires )

so , here we go -

_____________________________

[tex]\bold{cost \: of \: 4 \: tires = 272 \: dollars }\\ \\ cost \: of \: 1 \: tire = \frac{272}{4} \: dollars \\ \\ \dashrightarrow \: 68 \: dollars[/tex]

_____________________________

hope helpful :D

Answer:

1052.39 cm2

Step-by-step explanation:

too lazy to type all that

1) find the radius of the half circle using pythagorus. (34-16=18, √30^2-18^2 = 24 = diameter. radius = 12)

2) find the area of the cirlcle then divide by 2 youll get the area of the half circle

3) find the area of the other thing (i forgot its name) using

1/2×24×(16+34) = 600

then add them up