n a survey, 29 people were asked how much they spent on their child's last birthday gift. The results were roughly bell-shaped with a mean of $32 and standard deviation of $15. Construct a confidence interval at a 90% confidence level. Enter your answer as an interval (i.e., parentheses) accurate to one decimal place. Confidence interval =

Answer:

6 cm²

Step-by-step explanation:

The shorter sides are base and height.

3 x 4 / 2

= 6

We have: a² + b² = 3² + 4² = 9 + 16 = 25 = 5² = c²

=> triangle ABC is a square triangle

=> the area of the triangle ABC is: a × b ÷ 2 = 3 × 4 ÷ 2 = 6 (cm²)

Answer: 6 cm²

Ok done. Thank to me :>

Answer:

Step-by-step explanation:

to find the mean is another way of saying to find the average. To do this we add all the listed values(45,52,17,63,57,42,54,58) then divide them by how many values we are given which in this case is 7. so the mean would be 49. now to find the median we must first put the values in numeric order(17,42,45,52,54,57,58,63) then see the number in the middle or in cases or even number of values we find the two values in the middle of the set then we add them together and divide by two. which would be 53. now to find the mode we simply find the most reoccurring number in the set and seeing as there are no repeated values in this set there is no mode.

Answer:

Center: (2/3, 0) Radius: 6

Step-by-step explanation:

I used desmos(.com) to graph the equation.

Answer:

1094

Step-by-step explanation:

Answer:

Step-by-step explanation:

m=26 when u as u go as down as {{6-2} -13

Answer:

2

Step-by-step explanation:

By definition, the slope or gradient of a line describes its steepness, incline, or grade.

m = y2 - y1 / x2 - x1

Where

m — slope

If the 2 Points are Known:

Slope (m) = ΔY/ΔX

= 7-(-1) / 3-(-1)

= 8/4

= 2/1

= 2

θ = arctan (ΔY/ΔX)

= tan¯¹(8/4)

= 63.434948822922°

ΔX = 3 – (-1) = 4

ΔY = 7 – (-1) = 8

Distance (d) = √ΔX2 + ΔY2 = √80

= 8.9442719099992

Equation of the line:

y = 2x + 1

When x=0, y = 1

When y=0, x = -0.5

Answer:

[tex]term \: n = 3n + 2 \\ {1}^{st \: } term= \: \: (3 \times 1) + 2 \: just \: apply \: the \: term \: number \: to \: n \\ = 3 + 2 \: \\ \: = 5 \: [/tex]

Using an ideal gas equation to solve the problem. Then the original volume is 17.67 liters.

An ideal gas is a theoretical composed of a set of randomly moving gas particles that interact only through elastic collision.

Given

A balloon containing 0.500 mol at 0. 00°C and 65.0 kPa pressure are expanded by adding more argon.

Pressure (P) = 65 kPa

Mole (n) = 0.5 mol

Temperature (T) = 0 °C = 273.15 K

Universal gas constant (R) = 8.317 L.kPa/mol.K

We know the ideal gas equation

[tex]\rm PV =nRT\\\\V \ \ = \dfrac{nRT}{P}[/tex]

Put the values, we have

[tex]\rm V = \dfrac{0.5*8.317*273.15}{65}\\\\V = 17.67[/tex]

Thus, the original volume is 17.67 liters.

More about the ideal gas equation link is given below.

https://brainly.com/question/4147359

Answer:

answer in picture

Step-by-step explanation:

Solution:

To classify the system of equations as no solutions, the lines must be parallel (Not intersect).

First, let's identify the equation forming the line.

We also know that the slope of the equation must be -1.5.

A) 2x + 3y = 0

B) 2x + 3y = 6

C) 2x - 3y = 9

D) y = 3x + 2

Option B is correct.

Answer:

  cos(45°) = (√2)/2

Step-by-step explanation:

The cosine of 45° is the x-coordinate of the point on the unit circle where the line y=x intersects it. That is, it is the positive solution to the equation ...

  x^2 +x^2 = 1

  x^2 = 1/2 = 2/4 . . . . . collect terms, divide by 2, express the fraction with a square denominator

  x = √(2/4) . . . . . . take the square root

  x = (√2)/2 . . . . . simplify

The cosine of 45° is (√2)/2.

Answer: the answer is x=38

Step-by-step explanation:

X-18=20 we see that 18 is being SUBTRACTED from the x which means we have to do the opposite of subtraction is addition so 20+18=38

To check: you can plug 38 for x and subtract it from 18

Demonstration: 38-18=20

X = 38

Step-by-step explanation:

X-18 = 20

we move the constants (numbers) to one side and keep the variable, unknown on the other side

X= 20+18 (we change the sign whenever we move something to the opposite side)

x= 38

Answer:

5% of 20 is 1

Answer:

  4. 11/6, 121/36

  5. 5/8, 25/64

  6. 4/7, 16/49

  7. 14/9, 196/81

Step-by-step explanation:

The ratio of perimeters is the same as the ratio of corresponding legs:

  perimeter ratio = red leg/blue leg

The area ratio is the square of that:

  area ratio = (perimeter ratio)²

__

perimeter ratio = 11/6

area ratio = (11/6)² = 121/36

__

perimeter ratio = 5/8

area ratio = (5/8)² = 25/64

__

perimeter ratio = 4/7

area ratio = (4/7)² = 16/49

__

perimeter ratio = 14/9

area ratio = (14/9)² = 196/81

Answer:

Step-by-step explanation:

The direct distance there (without the island in the way) is found using the Pythagorean Theorem

c^2 = a^2 + b^2

a = 8.4

b = 11.5

c = ?

c^2 = 8.4^2 + 11.5^2              Square the length of the legs.

c^2 = 70.56 + 132.25            Combine  

c^2 = 202.81                          Take the square root.

c = 14.24

But the island is there. The distance travelled = 8.4 + 11.5 = 19.9 miles

So the additional distance = 19.9 - 14.24 = 5.66 miles.

Answer:

the answer for 1 1/3 is O 4/3

5 2/5 is T  28/5

2 4/5 is D  14/5

Step-by-step explanation:

All you have to do is multiply the whole number by the denominator and then add the numerator and the denominator stays the same.

Like on the second one you would multiply the 5 by the denominator which is also five then add the numerator,1, and that gives you the top number and the bottom one stays the same.

Sorry if I confused you but hope this helps!

You got this

Answer:

I fell like guiding you would be better.
First, help yourself by labelling all vertex's (there should be 5 so a,b,c,d,e).

You know that they are 2 sets of similar triangles cuz there is a 70 degree on in both and a common on

Then all you need to do is set up the proportion.

I can't give you the answer cuz I don't have much time, but I feel like you can figure it out. If this helped you, pls rate it decent, but if not just 1-star it I don’t care

Answer:

392

Step-by-step explanation:

You can multiply

28 • 14

=392

[tex] \frac{2(3 - x)^{ \frac{5}{2} } }{5} - \frac{2(3 - x)^{ \frac{3}{2} } }{3} + C[/tex]is the answer

Step-by-step explanation:-

Given:

[tex]{\int {(x-2)\sqrt{3-x}} \ dx }[/tex]

Differentiate on both sides,

[tex]{\int {(x-2)\sqrt{3-x}} \ dx },u = 3 - x[/tex]

Isolate and substitute back,

[tex]{\int {(x-2)\sqrt{3-x}} \ \times ( - 1) du },u = 3 - x[/tex]

Substitute back,

[tex]{\int ( - ( - u + 3 - 2) \sqrt{u})du }[/tex]

Applying property of integral ∫ kf(x)dx = k ∫ f(x)dxdx,

[tex] - ∫ ( - u + 3 - 2) \sqrt{u} \: du,u = 3 - x[/tex]

Combining like terms,

[tex]- ∫ ( - u +1) \sqrt{u} \: du,u = 3 - x[/tex]

Now applying distributive property,

[tex]- ∫ (( - u +1) \sqrt{u}) \: du,u = 3 - x[/tex]

[tex] = > - ∫ ( - \sqrt{u} \times u + \sqrt{u} )\: du,u = 3 - x[/tex]

Converting to exponential form,

[tex]- ∫ ( - u^{ \frac{1}{2} } \times u + u^{ \frac{1}{2} } )\: du,u = 3 - x[/tex]

Multiplying the first two monomuals after integral, we get,

[tex]- ∫ ( - u^{ \frac{3}{2} } + u^{ \frac{1}{2} } )\: du,u = 3 - x[/tex]

Now applying the prperty of ∫ f(x) + g(x)dx = ∫ f(x)dx + ∫ g(x)dx,

[tex] - ( - ∫u^{ \frac{3}{2} } \: du + ∫u^{ \frac{1}{2} } \: du),u = 3 - x[/tex]

Now integrate the power rule,

[tex] - ( - \frac{u^{ \frac{5}{2} }}{ \frac{5}{2} } + \frac{u^{ \frac{3}{2} }}{ \frac{3}{2} } ),u = 3 - x[/tex]

Divide the fractions by multiplying its reciprocals,

[tex] - ( - u^{ \frac{5}{2} } \times \frac{2}{5} + u^{ \frac{3}{2} } \times \frac{2}{3}),u = 3 - x[/tex]

Now write as single fractions,

[tex] - ( - \frac{2u^{ \frac{5}{2} } }{5} + \frac{2u^{ \frac{3}{2} } }{3})[/tex]

Removing the parentheses,

[tex] \frac{2u^{ \frac{5}{2} } }{5} - \frac{2u^{ \frac{3}{2} } }{3},u = 3 - x[/tex]

Substitute back,

[tex] \frac{2(3 - x)^{ \frac{5}{2} } }{5} - \frac{2(3 - x)^{ \frac{3}{2} } }{3} [/tex]

Now adding the constant of integration C∈R,

[tex] \frac{2(3 - x)^{ \frac{5}{2} } }{5} - \frac{2(3 - x)^{ \frac{3}{2} } }{3} + C[/tex]

Hence, the answer.

Answer:

the answer for your question is 80pi

Answer: I think that the answer is A.

Step-by-step explanation:

Answer:

See below.

Step-by-step explanation:

x^4+5x-3

The expression is odd. x^4 is also equal to 1x^4. 5 is odd, and 3 is odd.

-hope it helps

Answer:

The following function is f(x) = -9x 4 + 5x+3 is neither even nor odd.

Step-by-step explanation:

Because a function is said to be even if f (-x) = f (x). Then a function is said to be odd if f (-x) = -f (x). And there is your answer to those who need help with their math.

I think 100 grams per box

Answer:

I think its young men

Answer:

115.5

Step-by-step explanation:

comparing side lengths of 49 and 28:

49 ÷ 28 = 1.75, so to get from 28 to 49 multiply by 1.75

this is the same thing for side lengths 38.5 and 22 as

22 × 1.75 = 38.5

the scale factor of the first triangle (GHI) to the second triangle (JKL) is 1.75 which means multiply each side of the first triangle by 1.75

so to work out x:

16 × 1.75 = 28

perimeter of JKL (second triangle) - add up lengths of the sides:

28 + 38.5 + 49 = 115.5

Answer:

The GCF of 35 and 50 is 5

Answer: 25

Step-by-step explanation:

Finding the product of complex numbers is not different to finding the product of real numbers

(-3i+4) * (3i+4) = -9i^2 + 12i - 12i + 16 = 25

Answer:

25

Step-by-step explanation:

An easy way to multiply binomials is the FOIL(first, outer, inner, last) method. Multiply the first terms of each binomial, -3i×3i=-9i^2. Then do the outer terms, -3i×4=-12i. Then do the inner terms 4×3i=12i. Then do the last terms, 4×4=16. Lastly combine like terms, the -12i and 12 cancel out, and you're left with -9i^2+16. i^2=1, so then you get -9(-1)+16. -9×-1=9. 9+16=25

Answer:

x = ± √11 i

Step-by-step explanation:

x^2 + 5 + 6 = 0

subtract 6 and 5 from both sides

x^2 = -11

find the square root of both sides

x = ± √-11

x = ± √11 √-1

x = ± √11 i