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:

PX = 2√11

Step-by-step explanation:

here's your solution

==> ZX = 12 m

==> ZP = 10 m

==> by using Pythagoras theorem

==> PX^2 = ZX^2 - ZP^2

==> PX^2 = 12^2 - 10^2

==> PX^2 = 144 - 100

==> PX^2 = 44

==> PX = √44

==> PX = 2√11

hope it helps

Given:

In triangle [tex]FJH,KG\parallel JH, FK=3, KJ=15,\text{ and }FG=4.[/tex]

To find:

The length of [tex]FH[/tex].

Solution:

Basic proportionality theorem(BPT): If a line intersect the two sides of a triangle and parallel to third side of the triangle, then it divides the sides proportionally.

In triangle [tex]FJH,KG\parallel JH[/tex].

Using BPT, we get

[tex]\dfrac{FK}{KJ}=\dfrac{FG}{GH}[/tex]

[tex]\dfrac{3}{15}=\dfrac{4}{GH}[/tex]

On cross multiplication, we get

[tex]3\times GH=4\times 15[/tex]

[tex]GH=\dfrac{60}{3}[/tex]

[tex]GH=20[/tex]

Now,

[tex]FH=FG+GH[/tex]

[tex]FH=4+20[/tex]

[tex]FH=24[/tex]

Therefore, the length of FH is 24 units.

Step-by-step explanation:

f(x)=17-5x

if x=x+h then you can insert x+h for x in the equation of f(x)

f(x)=17-(x+h)-5x

distrubute and simplify

f(x)=17-6x-h

So that line contains the points where 17-5x and x+h intersect.

Hope that helps :)

Answer:

[tex]g(x) = (x-6)^2 +3[/tex]

Step-by-step explanation:

Given

[tex]y = (x - 1)^2 + 3[/tex]

Required:

Shift 5 units to the right

f(x) = (x + 2)^2 + 2

The parabola is written as:

[tex]y = a(x-h) ^2 +k[/tex]

Where [tex](h,k)[/tex] is the vertex

Compare [tex]y = a(x-h) ^2 +k[/tex] to [tex]y = (x - 1)^2 + 3[/tex]

The vertex is:

[tex]Vertex =(1,3)[/tex]

Shift 5 units to the right

The rule is:

[tex](x,y) \to (x + 5,y)[/tex]

So, we have:

[tex](1,3) \to (1 + 5,3)[/tex]

[tex](1,3) \to (6,3)[/tex]

The new function is:

[tex]g(x) = a(x-h) ^2 +k[/tex]

[tex]g(x) = (x-6)^2 +3[/tex]

Answer:

0.25

Step-by-step explanation:

Answer:

25% as a decimal is 0.25 I think

Step-by-step explanation:

Answer:

X = 5

Step-by-step explanation:

use the graph:

look at y = -3 and find the corresponding X value (X = 5)

Answer:

Answer:

A

Explanation:

Calculate the length of each side, and add.

AD is the long leg, and AE is the short leg

So we know the basic info. Use to solve.

Hope this helped, and please mark as Brainliest <3

Answer:

a=−1/2

Step-by-step explanation:

Answer:

Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a ...

Step-by-step explanation:

Answer:    P = 2(L + W)     distribute the 2

P = 2L + 2W      subtract 2L from both sides

P - 2L = 2W       divide both sidesby 2

(P - 2L)/2 = W

Answer:

A

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 7 ) and (x₂, y₂ ) = (3, 19 )

m = [tex]\frac{19-7}{3-0}[/tex] = [tex]\frac{12}{3}[/tex] = 4

The line crosses the y- axis at (0, 7 ) ⇒ c = 7

y = 4x + 7 → A

Answer:

1) 24 - 40 + 34 = 18

2) 24 - 22 - 34 = -32

3) 12  + 0 -15 = -3

4) 12 + 30 -15 = 27

5) -18 + 76 -34 = 24

Step-by-step explanation:

The given equations are;

1) 24 _ 34 = 18

We have;

18 - (34 + 24) = -40

Therefore;

24 - 40 + 34 = 18

2) 24 _ - 34 = -32

We have;

-32 - (24 - 34) = -22

Therefore;

24 - 22 - 34 = -32

3) 12 _ -15 = -3

We have;

-3 - (12 - 15) = 0

Therefore;

12  + 0 -15 = -3

12 - 15 = -3

4) 12 _ -15 = 27

We have;

27 - (12 - 15) = 30

Therefore;

12 + 30 -15 = 27

5) -18 _ -34 = 24

We have;

24 - (-18 - 34) = 76

Therefore;

-18 + 76 -34 = 24.

1. 24 x 34=18

2. 24 ➗ -34=-32 (i dont have the division thing lol)

3. 12 - 15=-3

4. 12 - (-15)=27

5.  -18 x -34=24

Answer:

40x- 24y

Step-by-step explanation:

Answer:

b?

Step-by-step explanation:

if I'm wrong sorry I'm just answering questions even if I dont 100% know

Answer:

It's A.

Step-by-step explanation:

Answer:

cab=62

cba=48

x=12

Step-by-step explanation:

70+x+50+4x=180

combine like terms

120+5x=180

-120. -120

5x= 60

isolate x

5x=60

x=12

Answer:

A. g + (g + 14) = 82

Bonus: Gary trained 48 dogs. Triana trained 34.

Step-by-step explanation:

Since Gary trained 14 MORE dogs, anything with a minus sign is definitely wrong. As a result, B & C are eliminated. D is also eliminated because that simplifies to 2g + 28 = 82, which signifies Gary trained 28 more dogs, which is not true. That leaves A as our answer.

g + g + 14 = 82

Combine g & g to get 2g.

2g + 14 = 82

Subtract 14 from both sides.

2g = 82 - 14

2g = 68

Divide both sides by 2.

g = 68/2

g = 34

With that, we now know Triana trained 34 dogs. Add 14 to that, and you get 48 dogs, which is how many Gary trained.

Answer:

y = -5x - 4

Step-by-step explanation:

-20x - 4y = 16

-4y = 20x + 16

4y = -20x - 16

y = -5x - 4

Answer:

Step-by-step explanation:

Circumference= πd = 27 cm

d = 27/π = 8.6 cm

Answer:

frequency, relative frequency(noun) the ratio of the number of observations in a statistical category to the total number of observations. Synonyms: frequency, oftenness, absolute frequency, frequence.Step-by-step explanation:

brainliest?

Answer: frequency; ratio.

Step-by-step explanation:

Answer: #4 = precipitation

               #3 = evaporation

           #2 clouds

           #1= sun

         #5= water

Step-by-step explanation:

Answer:

1: sun

2: clouds

3: Evaporation

4: Precipitation

5: Water

Step-by-step explanation:

The percentage of 7 green apples out of 17 total apples in means of getting one selected is 41%.

Therefore, finding the percentage of 10 out of 17 concludes that a then 58% chance of a red apple being chosen is present.

Answer:

The answer is -0.5

Step-by-step explanation:

Answer:

2304pi inches³

Step-by-step explanation:

volume of ball = 4/3pi r³

=4/3 x pi x 12³=2304 pi inches³

Answer: B

Step-by-step explanation:

No, the Large counts conditio is not met

The correct option is that, No, the Large Counts Condition is not met.

Conditions for inference are the three conditions on a mean are randomness, whether it is normal distribution and the independence of the test.

Given that,

The reporter selects a random sample of 50 American adults and finds that 28 are unable to name the current vice president.

So the sample is random.

10% condition is also met since the sample size is 50, which must be less than 10% of the total population.

So the 10% condition is also met.

Large counts condition is the condition which requires the sample size to be large enough for the distribution to be approximately normal.

So, the large counts condition is not met.

Hence the correct option is that condition of inference is not met since the Large Counts Condition is not met.

Learn more about Conditions for Inference here :

https://brainly.com/question/30267509

#SPJ2

Answer:

11.59 cm²

Step-by-step explanation:

area of entire circle:

A = (3.14)(9.28²) = 270.41 cm²

area of 68.9° segment:

(68.9/360)(270.41) = 51.75 cm²

area of triangle:

the triangle is equilateral so both the corners opposite 68.9° are equal  so they are = (180 - 68.9)/2 = 55.55° each.

1/2 the base will be:

cos 55.55 = b/9.28

b = 5.25, full base =10.5 cm

sin 55.55 = height/9.28

height = 7.65 cm

A = 1/2(10.5)(7.65) = 40.16 cm²

area of chorded section = 51.75 - 40.16 = 11.59 cm²