5 of 12
Malachy was thinking of a number. Malachy doubles it and adds 1.4 to get an answer
of 66.9. Form an equation with x from the information.

Testing the hypothesis, we have that since the p-value of the test is 0 < 1, our response is that the presumption underestimates the proportion of defective parts.

At the null hypothesis, we test if the proportion of defectives is of at most 1%, that is:

[tex]H_0: p \leq 0.01[/tex]

At the alternative hypothesis, we test if the proportion of defectives is of more than 1%, that is:

[tex]H_1: p > 0.01[/tex]

The test statistic is given by:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

From the sample, we have that:

[tex]n = 500, \overline{p} = \frac{15}{500} = 0.03[/tex]

Thus, the value of the test statistic is:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

[tex]z = \frac{0.03 - 0.01}{\sqrt{\frac{0.01(0.99)}{500}}}[/tex]

[tex]z = 4.49[/tex]

The p-value of the test is the probability of finding a sample proportion above 3%, which is 1 subtracted by the p-value of z = 4.49.

z = 4.49 has a p-value of 1.

1 - 1 = 0.

The p-value of the test is 0 < 1, which means that our response is that the presumption underestimates the proportion of defective parts.

A similar problem is given at https://brainly.com/question/24912812

Answer:

D

Step-by-step explanation:

The vertex of the triangle is adjacent to 90° on a straight line, so

vertex = 180° - 90° = 90°

The triangle has 2 congruent sides and is therefore isosceles with 2 congruent base angles, then

x = [tex]\frac{180-90}{2}[/tex] = [tex]\frac{90}{2}[/tex] = 45° → D

Answer:

[tex]x = 2[/tex]

Step-by-step explanation:

First simplify the equation.

Now multiply both sides by 3.

[tex]x = 2[/tex]

I hope it helps you. Please choose my answer as the BRAINLIEST.

Answer:

[tex]x=2[/tex]

Step-by-step explanation:

[tex]\cfrac{7}{9}\:x-\cfrac{4}{9}\:x=\cfrac{1}{4}+\cfrac{5}{12}[/tex]

First, combine  [tex]\frac{7}{9} x[/tex] and [tex]-\frac{4}{9} x[/tex] =  [tex]\frac{1}{3} x[/tex]

[tex]\cfrac{1}{3}\: x=\cfrac{1}{4} +\cfrac{5}{12}[/tex]

LCM of 4 and 12 is 12, Convert 1/4 and 5/12 to fraction with denominator 12:

[tex]\cfrac{1}{3}\: x=\cfrac{3}{12} +\cfrac{5}{12}[/tex]

Since 3/12 and 5/12 have the same denominator, let's add numerators:

[tex]\cfrac{1}{3}\:x=\cfrac{3+5}{12}[/tex]

[tex]\cfrac{1}{3}\:x=\cfrac{8}{12}[/tex]

Reduce the fraction 8/12 to lowest term by extracting and  canceling out 4,

[tex]\cfrac{1}{3} \:x=\cfrac{2}{3}[/tex]

Multiply both sides by 3, reciprocal of 1/3:

[tex]x=\cfrac{2}{3} \times 3[/tex]

Cancel out 3 and 3:

[tex]x=2[/tex]

_________________________________

Answer:

What can I do for you

Step-by-step explanation:

Answer:

I would say 15

Step-by-step explanation:

Answer:

√80 = 4√5

80²=1600

Step-by-step explanation:

80 | 2

40 | 2

20 | 2

10 | 2

5 | 5

√80= 2⁴ × 5

80= 2² × 5

80 = 4√5.

This is one way of doing it.

We want to get the function into vertex form.  

y = x2 - 4x + 2                  Subtract 2 from both sides.

y - 2 = x2 - 4x                   Add (-4/2)2 , or 4, to both sides.

y - 2 + 4 = x2 - 4x + 4       Now that the right hand side is a perfect square trinomial, factor it.

y + 2 = (x - 2)(x - 2)          

y + 2 = (x - 2)2                  Subtract 2 from both sides.

y = (x - 2)2 - 2

When the equation is in this form, we can see that this is the graph of y = x2 shifted to the right 2 units and shifted down 2 units. The vertex is at (2, -2). So plot the first point at (2, -2) and go up just like a basic parabola from there. :)

Construyendo y resolviendo una ecuación, tenemos que el número puede ser 8 o -10.

Para encontrar el número, tenemos que resolver una ecuación cuadrática, luego:

[tex]x^2 + 2x - 5 = 75[/tex]

[tex]x^2 + 2x - 80 = 0[/tex]

Ecuación cuadrática con [tex]a = 1, b = 2, c = -80[/tex]

[tex]\Delta = 2^2 - 4(1)(-80)[/tex]

[tex]x_{1} = \frac{-2 + \sqrt{324}}{2} = 8[/tex]

[tex]x_{2} = \frac{-2 - \sqrt{324}}{2} = -10[/tex]

El número puede ser 8 o -10.  

Un problema similar es dado en https://brainly.com/question/24673650

Answer:

wheres the rest of question?

Step-by-step explanation:

Answer:

pooStep-by-step explanation:Stinky

Answer:

Loading,please wait...

Step-by-step explanation:

Answer:

0.8

Step-by-step explanation:

Answer:

[tex] \longmapsto (4 \times {10}^{ - 1} ) + (4 \times {10}^{ - 1} ) \\ = \frac{4}{10} + \frac{4}{10} \\ = \frac{(4 + 4)}{10} \\ = \frac{8}{10} \\ = \boxed{8 \times {10}^{ - 1} }[/tex]

Answer:

y=2x-1

Step-by-step explanation:

Answer:

3/4 = A

Step-by-step explanation:

-8+Ax(-8) - (-6)= -8 - 8A + 6

-3 + (-8)/2x4 = -3 -1= -4

---------------------------------------

-8 -8A + 6= -2(-4)

-8 + 8 +6=8A

6/8=A

3/4 = A

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Given : VU = 8 cm, let SV = n and SU = m

so, SU = 8 cm

SV = [tex]8\sqrt{2}[/tex]

now,

The ratio of sides of Triangle SUV is :

hence, correct choice is C

In ∆SUV

So

Rest for SV

use Pythagorean theorem

So ratio is

Answer:

8, 9, 10

Step-by-step explanation:

4x < 44

x < 11

1, 2, 3, ..., 10

Answer:

y = 15q - 5f

Step-by-step explanation:

[tex]\frac{y}{5}[/tex] + f = 3q ( subtract f from both sides )

[tex]\frac{y}{5}[/tex] = 3q - f ( multiply through by 5 to clear the fraction )

y = 15q - 5f

Answer:

q(8) = 39.

Step-by-step explanation:

relate the values

for,

q(x) = 1/2x² + 7

q(8) = 1/2(8²) + 7

q(8) = 39.

Answer:

q(8) = 39

Step-by-step explanation:

To solve this question, you need to plug in (substitute) 8 instead of x:

q(8) = [1/2(8)²] + 7

= (1/2 × 64) + 7

= 32 + 7

= 39

∴ q(8) = 39

Answer:

2/3

Step-by-step explanation:

3-7

-----

-6-0

= -4/-6

=2/3

Answer:

Step-by-step explanation:

Use the slope formula:

The value of the expression Csc(6x)-cot(6x)/csc(6x)+cot(6x) is tan²3x.

Trigonometric Ratios are ratios of the side of a right angled triangle. These are used to find the missing sides and angles of a right angled triangle.

[tex]\rm =\dfrac {cosine(6x)-cot(6x)}{cosine(6x)+cot(6x)}\\\\\\\ = \dfrac{ \dfrac{1}{sin6x} - \dfrac{cos6x}{sin6x}}{ \dfrac{1}{sin6x} + \dfrac{cos6x}{sin6x}}\\\\\\ = \dfrac{ 1-cos 6x}{1+cos6x}[/tex]

( 1- cosx = 2sin²x/2) ( 1+cosx = 2cos²x/2)

[tex]\rm = \dfrac{ 2 sin^2 3x}{2 cos^2 3x}\\\\\\\\=tan^2 3x[/tex]

To know more about Trigonometric Ratios

https://brainly.com/question/1201366

#SPJ2

Answer:

Step-by-step explanation:

11

Answer:

a) 115°

Step-by-step explanation:

first find the value of angles B and C by doing 180 - 50 =130 and then 130÷2 because B and C are equal

Since the lines BO and CO are bisectors, it means that the angles are halved fo take half of angle B plus half of angle C and add them together = 65 and then do 180-65=115 so the angle BOC is 115°

Answer:

Answer: 12(2 + 3)

Step-by-step explanation:

The GCF of 24 and 36 is 12.  12 * 2 is 24, and 12 * 3 is 36.  As such, the parenthesis simply become (2 + 3)

Hope it helps :)

Answer:

$16.5 or $30.5

Step-by-step explanation:

for 3 of you (kids) its 5.50x3=16.5 or for you and your aunt , uncle its 5.50+12.50+12.50=30.5

Answer:

810!

Hope this helped! Have a nice day!!

Answer:

30% of 2,700 is 810

Step-by-step explanation:

proportions

0.30×2,700

810

Answer: 48

Step-by-step explanation:

32 divided by 8 is 4 so we know that he uses 1 box to pack 4 items.

192 divided by 4 is 48

Answer:

32divide 8=4. 4multiply by 192

Answer:

1.c

2.c

3.a

Step-by-step explanation:

1. because angle 4 and angle 8 are in the  same spot

2. these are alternative interior angles on a parell line so the are congruent

3. angle 2 and angle 5 are on the same side and inside the 2 lines

Answer:

2n + 23

Step-by-step explanation:

11 + 4n - 2n + 12

Rearrange terms:

4n - 2n + 12 + 11

Combine like terms:

2n + 23

Answer:

Bet!! :D can i get brainliest !! please

Step-by-step explanation: