Two search-and-rescue teams leave base camp at the same time, looking for a lost child. The first team, on horseback, heads north at 9 mph, and the other team, on foot, heads south at 2.5 mph.
How long will it take them to search a distance of 46 miles between them?

Answer:   (0.25,0.33)

Step-by-step explanation:

A 99% confidence interval for population proportion is given by:-

[tex]\hat{p}\pm 2.576\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}[/tex], where [tex]\hat{p}[/tex] = sample proportion, [tex]n[/tex] = sample size.

Given: [tex]n=1025, \hat{p}=0.29[/tex]

A 99% confidence interval estimate of the proportion of adults who use the Internet for shopping:

[tex]0.29\pm 2.576\sqrt{\dfrac{0.29(1-0.29)}{1025}}\\\\=0.29\pm 2.576\sqrt{0.00020087804878}\\\\=0.29\pm2.576(0.01417)\\\\=0.29\pm0.03650192\\\\=(0.29-0.03650192,\ 0.29+0.03650192)\\\\=(0.25349808,\ 0.32650192)[/tex]

[tex]\approx(0.25,\ 0.33)[/tex]

Thus, a 99% confidence interval estimate of the proportion of adults who use the Internet for shopping = (0.25,0.33)

Answer:

Part 1

SE= 31.94

Part2;

The population mean tells us that what would be the mean of all the monthly rents (in dollars) of studio and one-bedroom apartments in Harrisburg, Pennsylvania, in 2007.

Part 3:

576.31, 701.51

Part4:

This means that the 95%of the interval 576.31, 701.51 will have contain the value of the population parameter mean u.

Part 5:

Yes.  out of 100 , 95 of the intervals will contain the true value of population mean u .

Step-by-step explanation:

Part 1

The standard error is calculated using the formula

SE  = S/√n

where s is the standard deviation of the sample = $ 105.93

and n is the sample size= 11

Putting the values we get

SE= $ 105.93/ √11= 31.939

Part2;

The population mean tells us that what would be the mean of all the monthly rents (in dollars) of studio and one-bedroom apartments in Harrisburg, Pennsylvania, in 2007.

Part 3:

The z∝/2 value for 0.05 is  ± 1.96

The 95 % confidence interval will be given by

x` ±z ∝/2 * s/√n

Putting the values

638.91 ± 1.96 * 31.94

638.91 ± 62.6006

576.31, 701.51

Part4:

This means that the 95%of the interval 576.31, 701.51 will have contain the value of the population parameter mean u.

Part 5:

Yes when the hypothesis testing is done and the sample mean is found to be equal to the population mean then it means that the population mean is to be found in this interval; 95% .

Or out of 100 , 95 of the intervals will contain the true value of population mean u.

Answer:

42g

Step-by-step explanation:

70% of 60 = 42

Y = 20

X = 70

We know Y is 20 because both triangles are the same size. 20 is in the opposite corner to Y. The right corner is 90 degrees. There are 180 degrees in a triangle. To get your answer you are going to add 20 and 90 to get 110 then you will subtract 110 from 180.

Answer:

b = (4+2c)/a

Step-by-step explanation:

ab - 2c = 4

Add 2c to each side

ab - 2c+2c = 4+2c

ab = 4+2c

Divide each side by a

ab/a = (4+2c)/a

b = (4+2c)/a

Answer:

b = 4 + 2c / a

Step-by-step explanation:

ab - 2c = 4

ab - 2c + 2c = 4 + 2c ..( add 2 both side)

ab = 4 + 2c

ab / a = 4 + 2 c / a ...( Divide each side by a)

b = 4 + 2c / a

Let q be the number of quarts of pure antifreeze that needs to be added to get the desired solution.

8 quarts of 40% solution contains 0.40 × 8 = 3.2 quarts of antifreeze.

The new solution would have a total volume of 8 + q quarts, and it would contain a total amount of 3.2 + q quarts of antifreeze. You want to end up with a concentration of 60% antifreeze, which means

(3.2 + q) / (8 + q) = 0.60

Solve for q :

3.2 + q = 0.60 (8 + q)

3.2 + q = 4.8 + 0.6q

0.4q = 1.6

q = 4

Hope this help!!!

Have a nice day!!!

Answer:

0.5 I believe

Step-by-step explanation:

Answer:

(-3,2)

Step-by-step explanation: The bottom most point of the graph is 3 back from 0 and 2 up from 0

Answer:

4.75 hour

Step-by-step explanation:

right triangle

Hope this helps! :)

The angle at the vertex of a rectangle is 90°

So, it means that,

= ? + 40 = 90

= ? = 90 - 40

= ? = 50

Answer:

50°

Step-by-step explanation:

x = ?°

x + 40° = 90°

x = 90° - 40°

x = 50°

Answer:

A

Step-by-step explanation:

Answer: 8

Step-by-step explanation:

are you in elementary school

Answer:

8 staff

Step-by-step explanation:

6 +2 = 8 There are 8 staff working there.

If this is done a different way explain or lmk? Hope you are having a wonderful day!! Of not it'll get better I promisee! <33 :))

9514 1404 393

Answer:

  C.  100°

Step-by-step explanation:

The exterior angle is equal to the sum of the remote interior angles.

  ∠5 = ∠3 +∠4

  145° = ∠3 +45° . . . . fill in the given values

  100° = ∠3 . . . . . . subtract 45° from both sides

Answer:

Step-by-step explanation:

A circle has rotation symmetry around the center for every angle. A circle has an unlimited number of angles of symmetry and the order of its rotation is infinite.

Answer:

[tex]GQ =25[/tex] --- GoTV

Step-by-step explanation:

Given

[tex]GQ = 2x + 3[/tex]

[tex]GH= 5x - 5[/tex]

Required

Find GQ

Since Q is the midpoint, then:

[tex]GH = 2 * GQ[/tex]

This gives:

[tex]5x - 5 = 2[2x+3][/tex]

Open bracket

[tex]5x - 5 = 4x+6[/tex]

Collect like terms

[tex]5x - 4x = 5+6[/tex]

[tex]x =11[/tex]

We have:

[tex]GQ =2x+3[/tex]

This gives:

[tex]GQ =2*11+3[/tex]

[tex]GQ =25[/tex]

Answer:

334.4 m²

Step-by-step explanation:

The formula for the area of a sector is given as:

1/2 × r² × θ

Where θ = Central angle

Area of a Circle = 700 m²

The formula for the area of a circle = πr²

r = Radius of a circle

r² = Area / π

r = √Area / π

r = √700/π

r = 14.927053304 m

Approximately, r = 14.93 m

Therefore, the area of the sector

= 1/2 × r² × θ

= 1/2 × 14.93² × 3 rad

= 334.35735 m²

Approximately, Area of the sector = 334.4 m²

Answer:

[tex]V_c=452.16\ mm^3[/tex]

Step-by-step explanation:

Given that,

The volume of a sphere is 904.32 mm³.

The volume of a cone that has the same height and circular base with the same diameter is:

[tex]V_c=\dfrac{1}{3}\pi r^2 \times 2r=\dfrac{2}{3}\pi r^3[/tex]

The volume of a sphere with the same radius is:

[tex]V_s=\dfrac{4}{3}\pi r^3=2\times \dfrac{2}{3}\pi r^3[/tex]

So, the volume of sphere is :

[tex]V_c=\dfrac{V_s}{2}\\\\V_c=\dfrac{904.32 }{2}\\\\V_c=452.16\ mm^3[/tex]

So, the volume of the cone is [tex]452.16\ mm^3[/tex].

[tex]\longrightarrow{\green{7 \frac{20}{21}}}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex]1 \frac{6}{9} + 5 \frac{9}{7} \\ \\ = \frac{15}{9} + \frac{44}{7} \\ \\ = \frac{15 \times 7}{9 \times 7} + \frac{44 \times 9}{7 \times 9} \\ \\ = \frac{105 + 396}{63} \\ \\ = \frac{501}{63} \\ \\ = \frac{167}{21} \\ \\ = 7 \frac{20}{21} [/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}[/tex]

Answer:

28

Step-by-step explanation:

As one can see, the given diagram has two perpendicular lines. This means that two lines intersect each other at a right angle, therefore all of the resulting angles are (90) degree angles. This is indicated by one of the boxes around the angle. Moreover, this means that the angle that measures (62) degrees, plus angle (1) forms a (90) degree angle. Using this information, make an equation and solve for the measure of angle (1);

62 + (m<1) = 90

Inverse operations

62 + (m<1) = 90

m<1 = 28

Answer:

v = 1

Step-by-step explanation:

-6(9-9v)

-6*9 = -54

-6*(-9v) = 54v

-54+54v = 0

+54 +54

54v = 54

divide both sides by 54

v = 1

Answer:

the constant proportionality means the ratio between two directly proportional quantities.

so the constant proportionality will be 7.5÷6=1.25 or 10÷8=1.25 or 12.5÷10=1.25

constant proportionality should be same all through because it's a constant

Answer:

Step-by-step explanation:

[tex]81^{1/2}[/tex]

[tex]3^4*{1/2}[/tex]

[tex]3^{4/2}[/tex]

[tex]3^{2}[/tex]

9

[tex]-16^{3/4}[/tex]

[tex](-2)^{4 *3/4}[/tex]

[tex](-2)^{12/4}[/tex]

[tex](-2)^{3}[/tex]

-8

Answer:

B

Step-by-step explanation:

Slope Formula

6 - (-2) / 3 - 1

8 / 2 = 4

The slope of the graph is 4.

Option B is the correct answer.

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

The coordinates from the graph are:

(1, -2), and (3, 6)

Now,

Slope.

= (6 -(-2)) / (3 - 1)

= (6 + 2) / 2

= 8/2

= 4

Thus,

The slope of the graph is 4.

Learn more about equation of a line here:

https://brainly.com/question/23087740

#SPJ5

[tex]\longrightarrow{\green{A.\:-8}}[/tex] ✔

Step-by-step explanation:

[tex]f(x )= - {x}^{2} + 1[/tex]

Plugging in the value "[tex]x\:=\:-3[/tex]" in the above expression, we have

[tex]f( - 3) = - ({ - 3})^{2} + 1 \\ \\ = - ( - 3 \times - 3) + 1 \\ \\ = - (9) + 1 \\ \\ = - 9 + 1 \\ \\ = - 8[/tex]

[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]

[tex] \quad \quad \quad \quad \tt{f(x) = { - x}^{2} + 1} \: \: when \: \: x = - 3[/tex]

[tex] \quad \quad \quad \quad \tt{ ⟶f(x) = { - x}^{2} + 1}[/tex]

[tex] \quad \quad \quad \quad \tt{⟶f(-3) = {- (-3)}^{2} + 1}[/tex]

[tex] \quad \quad \quad \quad \tt{⟶ f( - 3) = { - (9) + 1}}[/tex]

[tex]\quad \quad \quad \quad \tt{⟶ f( - 3) = { - 9 + 1}}[/tex]

[tex]\quad \quad \quad \quad \tt{ ⟶f( - 3) = { -8}}[/tex]

[tex]\quad \quad \quad \quad \boxed{\tt{ \color{green}f( - 3) = { - 8}}}[/tex]

_________

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