An emergency fund is defined as a savings account that has a balance equal to at least two months' living
expenses. An article in a financial magazine claims that 80% of American adults do not have an emergency fund.
To investigate this claim, a financial advisor selects a random sample of 150 American adults and finds that 112 do
not have an emergency fund. The financial advisor would like to know if the data provide convincing evidence that
the true proportion of Americans who do not have an emergency fund is less than 80%. What are the appropriate
hypotheses for this test?

Answer:

Step-by-step explanation:

Coco

My fav movie?

Space Jam 2

Prob since I’ma basketball fan :)))

Given:

In triangle [tex]EFG, m\angle E = 5x, m\angle F=6x[/tex] and extirior angle G  is 110 degrees.

To find:

The measure of angle FEG.

Solution:

Exterior angle theorem, the sum of two interior angles of a triangle is equal to the opposite extirior angle.

Using extrior angle theorem in triangle EFG, we get

[tex]m\angle E+m\angle F=\text{Measure of extirior angle }G[/tex]

[tex]5x+6x=110^\circ[/tex]

[tex]11x=110^\circ[/tex]

[tex]x=\dfrac{110^\circ}{11}[/tex]

[tex]x=10^\circ[/tex]

Now,

[tex]m\angle FEG=5x[/tex]

[tex]m\angle EFG=5(10^\circ)[/tex]

[tex]m\angle EFG=50^\circ[/tex]

Therefore, the measure of angle FEG is 50 degrees. So, option C is correct.

Answer:

-39.65

Step-by-step explanation:

3 1/4 ⋅ (-12.2)

First, we must change the first fraction to a decimal.

3 1/4 = 3.25.

Now, we just multiply using standard algorithm.

3.25 ⋅ (-12.2) = -39.65.

Anytime you multiply a positive number by a negative number, the answer will ALWAYS be negative.

Respuesta:

113 N

Explicación paso a paso:

Las fuerzas ejercidas se dan como:

F1 = 30 N

F2 = 45 N

F3 = 38 N

A partir de los valores de las fuerzas ejercidas, podemos observar que todas las fuerzas están en la misma dirección; Dado que la fuerza total ejercida es un sol de las 3 fuerzas:

F1 + F2 + F3

(30N + 45N + 38N) = 113 N

Answer:

exterior angle: 22.5°, interior angle: 157.5°

Step-by-step explanation:

the formula for the measure of each Interior Angle in a regular polygon: [tex]\frac{180(n-2)}{n}[/tex], n = # of sides

=> [tex]\frac{180(16 - 2)}{16}[/tex] = 157.5°

the formula for the measure of each Exterior Angle in a regular polygon: [tex]\frac{360}{n}[/tex]

=> [tex]\frac{360}{16}[/tex] = 22.5°

Answer:

-49

Step-by-step explanation:

fog=f(g(x))=3(-2x-6)-7=-6x-18-7=-6x-25=-6(4)-25=-49

Answer:

EI SONA

Step-by-step explanation:

Answer:

Step-by-step explanation:

I really don’t know but I think you have to find the hypothenuse first then you can do the rest

Answer:

Step-by-step explanation:

"SAS" is when we know two sides and the angle between them. use The Law of Cosines to calculate the unknown side, then use The Law of Sines to find the smaller of the other two angles, and then use the three angles add to 180° to find the last angle.

Answer:

The rate of change of the distance between the airplanes is approximately 316.760 kilometers.

Step-by-step explanation:

The distance between both airplanes (r), in kilometers, can be determined by the Pythagorean Theorem, that is:

[tex]r^{2} = x^{2}+y^{2}[/tex] (1)

Where:

[tex]x[/tex] - Distance of the westbound airplane from airport, in kilometers.

[tex]y[/tex] - Distance of the southbound airplane from airport, in kilometers.

By Differential Calculus, we derive an expression for the rate of change of the distance between the airplanes ([tex]\dot r[/tex]), in kilometers per hour:

[tex]2\cdot r\cdot \dot r = 2\cdot x \cdot \dot x + 2\cdot y \cdot \dot y[/tex]

[tex]\dot r = \frac{x\cdot \dot x + y\cdot \dot y}{\sqrt{x^{2}+y^{2}}}[/tex] (2)

Where:

[tex]\dot x[/tex] - Rate of change of the distance of the westbound airplane, in kilometers per hour.

[tex]\dot y[/tex] - Rate of change of the distance of the southbound airplane, in kilometers per hour.

If we know that [tex]x = 17\,km[/tex], [tex]y = 28\,km[/tex], [tex]\dot x = -164\,\frac{km}{h}[/tex] and [tex]\dot y = -271\,\frac{km}{h}[/tex], then the rate of change of the distance between the airplanes is:

[tex]\dot r = \frac{x\cdot \dot x + y\cdot \dot y}{\sqrt{x^{2}+y^{2}}}[/tex]

[tex]\dot r \approx -316.760\,km[/tex]

The rate of change of the distance between the airplanes is approximately 316.760 kilometers.

Answer:

I think it's B

Step-by-step explanation:

Answer:

C if you read it carefully it would show on each answer. plus it will sound eventually make sense

Answer:

485297

Step-by-step explanation:

Answer:

option D

Step-by-step explanation:

Took the test

Answer: the summation of 4 times negative 3 to the n minus 1 power, from n equals 1 to 15 (option D)

Step-by-step explanation: I took the test and got it right :)

Answer:

Yes

Step-by-step explanation:

What is the question we need to answer? We got the information

Answer:$1.08 cents.

Step-by-step explanation:

$6 - $4.52 = $1.08.

all triangles have 180 total degrees, we know this

80 degrees are accounted for, so there's 100 left

3x - 25 = 100

3x = 125

x = 41.67

Answer:

10 smoothies

Step-by-step explanation:

because each 3/8th yields 2 smoothies and the leftovers from each cup made 2 more.

Answer: You forgot to include a photo

Step-by-step explanation:

Answer:

It should be 10%

Answer:

332°

Step-by-step explanation:

Given is an isosceles triangle,

Measures of base angles of an isosceles triangle are equal.

Therefore,

Measure of central angle

= 180° - ( 76° + 76°)

= 180° - 152°

= 28°

Measure of shaded angle

= 360° - 28°

= 332°

Answer:

The median value is better because it is not affected by the skewness of the data

Step-by-step explanation:

The median is  better in representing the data of a stem and leaf plot because the median value is not affected so much by outliers and skewness of the data. for example:  for a downward skewed stem and leaf plot the value of the median is greater than the mean value

Hence the median value is a better representation of the central tendency

Answer:

20.04

Step-by-step explanation:

Answer:

20.04

Step-by-step explanation:

The three is in the hundredths place:

find your place (3)

look next door (8)

5 or greater add one more so 4

Answer:

9.91%

Step-by-step explanation:

cost price= 400

selling price=444

profit made= 444-400

= 44

profit percentage= 44/444 ×100

=9.91%

Answer:

x + x + 7 + x -4 = 300

3x = 297

x = 99 First Piece

x2 = 106 Second Piece

x3 = 95 Third piece

Step-by-step explanation:

Well, by the segment addition postulate, 3x + 5 + 5x - 7 = BD, so BD = 8x - 2.

Because you didn't include the instructions in the picture, I can't be sure if this is a rhombus or a rectangle, but if it is either, then 3x + 5 = 5x - 7, and x = 6

If this is true, then BD = 48 - 2 = 46, but only if the shape is either a rhombus or rectangle (or both would make it a square).

Answer: 210

Step-by-step explanation: