-3(4x-8.2)< -11.98x + 14 3 /4

Of those women who are diagnosed to have early-stage breast cancer, one-third eventually die of the disease. Suppose a screening

Finger [1]

Answer:

A) Alternative hypothesis; Ha: p_o > ⅔

B) Null hypothesis;

H0: p_o = ⅔

C) There is sufficient evidence to support the claim that the community screening programme was effective

D) p-value = 0

Its less than the significance value and so we will reject the null hypothesis and conclude that the community screening programme was effective

Step-by-step explanation:

A) We are told that ⅓ of those diagnosed eventually die of the disease. Thus, ⅔ is the fraction that will survive the disease.

Thus, the null hypothesis is;

H0: p_o = ⅔

We are told that a screening programme was started to increase the survival rate. Thus,the alternative hypothesis is;

Ha: p_o > ⅔

B) null hypothesis is;

H0: p_o = ⅔

C) 164 out of the 200 women selected survived the disease.

Thus sample proportion is;

p^ = 164/200

p^ = 0.82

For the z-score value, we will use the formula;

z = (p^ - p_o)/√((p_o(1 - p_o)/n)

Now, p_o = ⅔ = 0.67

Thus;

z = (0.82 - 0.67)/√((0.67(1 - 0.67)/200)

z = 4.51

From online p-value from z-score calculator, we have p-value ≈ 0

This is less than the significant level of 0.05 and therefore we will reject the null hypothesis and conclude that the community screening program was effective.

D) p-value ≈ 0

Reject the null hypothesis

4 0

2 years ago

Which is an example of continuous data?

Lynna [10]

Answer:

A) amount of snowfall in a blizzard

Step-by-step explanation:

Both continuous and discrete data are quantitative.

The difference is that

Continuous data can take any value. You obtain it by measurement.
Discrete data can take only certain values. You obtain it by counting.

The amount of snowfall in a blizzard is continuous data. It can take any value such as 100.3 cm or 250.5 cm .

B) is wrong. The number of students who pass a math quiz is discrete data. You can't have half a student.

C is wrong. The number of languages an individual speaks is discrete data. You can't speak half a language.

D) is wrong. The number or treadmills in a gym is discrete data. You can't have half a treadmill.

7 0

2 years ago

Read 2 more answers

The time it takes Natalie to replace x cell phone screens is given by the equation t =

Alexxx [7]

Answer: 25 hours

Step-by-step explanation:

$t=1+3x$

8 screens

or

$x = 8$

Replace;

$t=1+3(8)$

$t=1+24$

$t=25h$

6 0

2 years ago

What is the equation of the function shown in the graph provided? y= _ x + _

Mkey [24]

Answer:

y = -3x - 6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Slope Formula: $m=\frac{y_2-y_1}{x_2-x_1}$

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Step-by-step explanation:

Step 1: Define

Find points from graph.

x-intercept (-2, 0)

y-intercept (0, -6)

Step 2: Find slope m

Substitute: $m=\frac{-6-0}{0+2}$
Subtract/Add: $m=\frac{-6}{2}$
Divide: $m=-3$

Step 3: Redefine

Slope m = -3

y-intercept b = -6

Step 4: Write linear equation

Slope-Intercept Form: y = -3x - 6

7 0

2 years ago

Which statements are true about ΔJKL and ΔLMN? Select all that apply.

svp [43]

Answer:

A. ΔJKL and ΔLMN have only one pair of angles that are congruent

C. ΔJKL has angles that measure $50^o,60^o,70^o$

Step-by-step explanation:

step 1

Find the value of x

we know that

$m\angle KLJ=m\angle MLN$ ----> by vertical angles

substitute the given values

$(6x-2)^o=(5x+10)^o$

solve for x

$6x-5x=10+2\\x=12$

step 2

Find the measure of the interior angles of triangle JKL

we have

$m\angle KLJ=(6(12)-2)=70^o$

$m\angle KJL=(5(12))=60^o$

Remember that the sum of the interior angles in any triangle must be equal to 180 degrees

so

$m\angle JKL=180^o-130^o=50^o$

therefore

Triangle JKL has angles that measure $50^o,60^o,70^o$

step 3

Find the measure of the interior angles of triangle LMN

we have

$m\angle MLN=(5(12)+10)=70^o$

$m\angle LMN=(6(12)-7)=65^o$

Remember that the sum of the interior angles in any triangle must be equal to 180 degrees

so

$m\angle LNM=180^o-135^o=45^o$

Triangle LMN has angles that measure $45^o,65^o,70^o$

we know that

If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

The corresponding angles of triangle JKL and LMN are not congruent

therefore

The triangles are not similar

Verify each statement

Part a) ΔJKL and ΔLMN have only one pair of angles that are congruent

The statement is true (see the explanation)

Part b) ΔJKL and ΔLMN have two pairs of angles that are congruent

The statement is false

Because have only one pair of angles that are congruent

Part c) ΔJKL has angles that measure $50^o,60^o,70^o$

The statement is true (see the explanation)

Part d) ΔLMN has angles that measure $50^o,60^o,70^o$

The statement is false

Because, Triangle LMN has angles that measure $45^o,65^o,70^o$

Part e) ΔJKL and ΔLMN are similar

The statement is false

Because, the corresponding angles are not congruent

6 0

3 years ago