a woman is thrice as old as her daughter .Twelve years hence, she will be twice as old as her daughter. Find their present ages.
help me​

Answer:

The decision made by the researcher based on this information is to reject the null hypothesis.

Step-by-step explanation:

Two-tailed hypothesis test:

Critical value: [tex]z_c[/tex]

Test statistic: z

If [tex]|z| < |z_c|[/tex], we do not reject the null hypothesis.

If [tex]|z| > |z_c|[/tex], we reject the null hypothesis.

In this question:

[tex]z_c = 1.96, z = -2.05, |z| = 2.05[/tex]

Since [tex]|z| > |z_c|[/tex], we reject the null hypothesis.

The decision made by the researcher based on this information is to reject the null hypothesis.

Answer:

A) H0 : μ = 100  

   H1 :  μ < 100

B)  39.2

C)  We fail to reject null hypothesis

D) If the professor increases the sample size the value of the test statistic will increase .

Step-by-step explanation:

sample variance ( s ) = 80

sample size = 50

At ∝ = 0.01  population variance ( σ )   < 100

a) Hypothesis

H0 : μ = 100  ( Null hypothesis )

H1 :  μ < 100  ( Alternate hypothesis )

b) Determine The correct test statistic

x^2 = ( n-1 ) * s^2/σ^2

      = ( 49 ) * 80^2 / 100^2

      = 39.2

C) Determine the conclusion of the test

The P-value = 0.1596  ( calculated )

The conclusion of the test is that we fail to reject null hypothesis given that

P-value ( 0.1596 ) > ∝ ( 0.01 )  

D) If the professor increases the sample size the value of the test statistic will increase .

Answer:

option no.C 6

Step-by-step explanation:

3x+6=24

3x=24–6

3x=18

x=18/3

x=6

Answer:

I believe it is 20

Step-by-step explanation:

NO is 10 and NO is equal the bottom of the triangles. There are 2 bottoms of triangles in JK 10x2 would be 20.

Answer:

By the Central Limit Theorem, the sampling distribution of repeated samples of 100 widgets would be approximately normal with mean 7 grams and standard deviation 0.2 grams.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean weight of 7 grams and a standard deviation of 2 grams.

This means that [tex]\mu = 7, \sigma = 2[/tex]

Sample of 100:

This means that [tex]n = 100, s = \frac{2}{\sqrt{100}} = 0.2[/tex]

What would you expect as a sampling distribution if you were to take repeated samples of 100 widgets?

By the Central Limit Theorem, the sampling distribution of repeated samples of 100 widgets would be approximately normal with mean 7 grams and standard deviation 0.2 grams.

Answer:

20(x+15)(x+10)

Step-by-step explanation:

Hi there!

As your question states, we need to fully factor the polynomial: 20x²+500x+3000

These are pretty big numbers; let's pull out the GCF, as that will make it easier to factor

the GCF is 20

so factoring 20 out of the polynomial will get:

20(x²+25x+150)

As you can see, the polynomial inside the parenthesis is a lot easier to factor than the original with really big numbers.

Now use FOIL to factor x²+25x+150 into 2 binomials

25 is the sum of the last terms

150 is the product of the last terms

think: which two numbers add up to 25 but multiply to get 150?

those two numbers are 15 and 10

x²+25x+150 factored is (x+15)(x+10)

but remember we have the 20 in front of x²+25x+150  (or now, (x+15)(x+10))

therefore the fully factored binomial is 20(x+15)(x+10)

Hope this helps! :)

Answer:

28

Step-by-step explanation:

Answer:

area of triangle =1/2 x b x h

Step-by-step explanation:

=1/2 x 7 x 12

= 1/2 x 84

= 42 units

Answer:

43

Step-by-step explanation:

interior angles add up to 180

Answer:

0.14

Step-by-step explanation:

0.14 is the probability that a person will retake their sexfie exactly 3 times.

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

Given

Total frequency = 27+29+18+14+12 = 100

frequency of 3 retakes = 14

p(r) = frequency of 3 retakes/ Total frequency

p(r) = 14/100 = 0.14

To learn more about probability refer to:

https://brainly.com/question/13604758

#SPJ2

Answer:

x = 12.5

Step-by-step explanation:

Step-by-step explanation:

Think of every surface as a 2D shape.

you know that

Area of a triangle is: A = 0.5 b h

Area of a square is: A = L x W

You add each area thats exposed

for example: the front and back of the triangle would be (0.5 x 3cm x 8cm) x 2 [since there are two faces]

Answer:

Hello! answer: x = 4

Step-by-step explanation:

Because this is a 180 degree angle it will add up to 180 so 8 × 4 = 32 and 32 + 120 = 152 and 7 × 4 = 28 and 28 + 152 = 180 so 4 is x HOPE THAT HELPS!!

180 degree line-

180 = (8x + 120)

-120

60 = 8x

/8

7.5

x = 7.5

7(7.5) = 52.5

Answer:

Step-by-step explanation:

scam . smď

multiplication

hope this helped <3

Answer:

130mm

Step-by-step explanation:

I'm pretty sure you mean each of the sides is this length... so I'll go off of that. 20+10+20+60+20 is the addition for this problem.

20+10+20+60+20=130 is the answer.

9514 1404 393

Answer:

  B. (3/2x, 3/2y)

Step-by-step explanation:

It is perhaps easiest to see that B' is 3 grid squares from the origin while B is 2 grid squares from the origin. The scale factor is the ratio of these distances:

  3/2

Dilation about the origin multiplies each coordinate value by the scale factor:

  (x, y) ⇒ (3/2x, 3/2y)

Answer:

1) 81.67 cm² (Option A)

2) 28.26 m² (Option B)

3) 153.86 mi.² (Option D)

4) 329.90 m² (Option A)

5) 63.585 ft.² (Option C)

Step-by-step explanation:

GENERAL FORMULAES TO BE USED IN THIS QUESTION :-

Diameter of a circle with radius 'r' = 2r

Area of a circle with radius 'r' = πr²

SOLUTION :-

1) Diameter of the dinner plate = 10.2 cm

Radius of the dinner plate = 10.2/2 = 5.1 cm

⇒ Area of the circle = π(5.1)² = 26.01π cm² ≈ 81.67 cm²

2) Length of his leash = 3m

⇒ Area the dog has to run around = π(3)² = 9π m² = 28.26 m²

3) Radius of the circular range of storm = 7 mi.

⇒ Area of the circular range of storm = π(7)² = 49π mi.² = 153.86 mi.²

4) Diameter of carousel = 20.5 m

Radius of carousel = 20.5/2 = 10.25 m

⇒ Area of the carousel = π(10.25)² = 105.0625π m² ≈ 329.90 m²

5) Radius of the range of sprinkler = 4.5 ft.

⇒ Area of the range of sprinkler = π(4.5)² = 20.25π ft.² = 63.585 ft.²

Answer:

62 sq cm

Step-by-step explanation:

if you find the area of the entire shape (12x6) you can then subtract out the cut-out portion (5x2)

72 - 10 = 62

Answer:

y=5x

Step-by-step explanation:

If the input is x, then the out put is 5x. So y=5x

Answer:

9t + 171 = 7t + 17

9t - 7t =17 - 171

2t/2 = -154/2

t = -77

Answer:

x = 3, y = 7

or (3,7)

Step-by-step explanation:

We are given the system of equations below:

[tex] \large{ \begin{cases} 2x - y = - 1 \\ 3x - y = 2 \end{cases}}[/tex]

We are required to solve the system by substitution method. What we have to do is to isolate either x-term or y-term so we can use the method. I will be isolating y-term because it is faster due to having 1 as a coefficient.

By isolating y-term, just pick one of the given equations to isolate. No need to isolate the whole system. (I will be isolating y-term of the first equation.)

[tex] \large{ \begin{cases} y= 2x + 1\\ 3x - y = 2 \end{cases}}[/tex]

Then we substitute y = 2x+1 in the second equation.

[tex] \large{3x - (2x + 1) = 2}[/tex]

Use the distribution property.

[tex] \large{3x - 2x - 1 = 2}[/tex]

Isolate x-term to solve the equation.

[tex] \large{x = 2 + 1} \\ \large{x = 3}[/tex]

Since we are solving a system of equations. We have to solve for both x-value and y-value to complete. We have already found x-value, but nor y-value yet. Therefore, our next step is to substitute the value of x that we solved in any given equations. It's recommended to substitute in an equation that doesn't have high coefficient value. So I will be substituting x = 3 in the first equation.

[tex] \large{2x - y = - 1} \\ \large{2(3) - y = - 1} \\ \large{6 - y = - 1}[/tex]

Isolate and solve for y-term.

[tex] \large{6 + 1 = y} \\ \large{7 = y} \\ \large{y = 7}[/tex]

Since we substitute x = 3 and get y = 7. We can write in ordered pairs as (3,7)

Hence, the solution is (3,7)

Answer:

1,043 km

Step-by-step explanation:

hi hope you have a good dayy

Answer:

Distance between points (10, 19) and (-13, 9) is 25.0799

Step-by-step explanation:

Input Data :

Point 1 (xA, yA)  = (10, 19)

Point 2 (xB, yB) = (-13, 9)

Formula : Distance between two points = √(xB − xA)^2 + (yB−yA)^2

Solution :

Distance between two points = √(−13−10)^2+(9−19)^2=

√(−23)^2+(−10)^2

= √529+100

= √629

= 25.0799

hope this helps and is right. p.s i really need brainliest :)

Answer:

8y^3+6y^2-29y+15

Step-by-step explanation:

the correct expression is

(4y − 3)(2y^2 + 3y − 5)

Given data

We have the expression

(4y − 3)(2y^2 + 3y − 5)

let us open bracket

8y^3+12y^2-20y-6y^2-9y+15

Collect like terms

8y^3+12y^2-6y^2-20y-9y+15

8y^3+6y^2-29y+15

Answer:

26 meters

Step-by-step explanation:

a = bh

416 = 16h

Divide both sides by 16

h = 26

26 meters