80 times 30 plus 60 equals

Answer:

np>10 and n(1-p)>10

Step-by-step explanation:

The Large Counts Condition for Normality: np ≥ 10 and nq ≥ 10.

The Large Counts Condition, also known as the Large Sample Size Condition, is a requirement that must be met to ensure that the sampling distribution of a sample proportion is approximately normal when sampling from a population. This condition is necessary to apply the normal distribution to the sample proportion for various statistical inferences.

Let's denote the following:

- n: The sample size, i.e., the number of observations in the sample.

- p: The population proportion of the characteristic of interest.

- q: The complementary probability to p, such that q = 1 - p.

The Large Counts Condition for Normality states:

np ≥ 10 and nq ≥ 10

In other words, the product of the sample size (n) and the population proportion (p) must be greater than or equal to 10, and the product of the sample size (n) and the complementary probability (q) must also be greater than or equal to 10.

When both of these conditions are satisfied, the sampling distribution of the sample proportion can be approximated by a normal distribution. This approximation is useful for constructing confidence intervals and performing hypothesis tests related to proportions.

To know more about Large Counts, refer here:

https://brainly.com/question/30984845

#SPJ6

Answer:

Fuerzas Convergentes

Fuerza Resultante

Answer:

Here is another case where we have two unknowns (the number of hours each mechanic worked) so we'll need two equations to solve.

Let A = number of hours first mechanic worked (the one who charged $45/hour)

Let B = number of hours second mechanic worked (the one who charged $105/hour)

From the problem statement, we know that the two mechanics worked a combined 35 hours so the first equation is:

Equation 1: A hours + B hours = 35 hours

We also know that in total, the charge was $2475.  So the second equation is:

Equation 2: (A hours x 45 dollars/hour) + (B hours x 105 dollars/hour) = 2475 dollars

So our two equations are:

1: A + B = 35

2: 45A + 105B = 2475

Multiply both sides of the first equation by -45 to get the following:

-45A - 45B = -1575

Now the two equations are:

1: -45A - 45B = -1575

2: 45A + 105B = 2475

Add them together and the "A" term drops out:

-45B + 105B = -1575 + 2475

or

60B = 900

Now divide both sides by 60:

B = 15

Now plug B = 15 into the first equation:

A + 15 = 35 thus A = 20

So Mechanic A (at $45/hour) worked 20 hours and Mechanic B (at $105/hour) worked 15 hours

Check: 20x45 + 15x105 = 900 + 1575 = 2475

Step-by-step explanation:

hope it helps you (:

Answer:

The correct equation is actually: y=10x+10.

Jaiden calculated the slope of the line incorrectly, as the y-axis increases by 10, not 2. The correct slope of the line is 20/2, which is equal to 10.

Hope this helps!

Answer:

[tex]\frac{19}{14}x + \frac{97}{56}[/tex]

Step-by-step explanation:

I've written my working in the picture. I hope it's clear. :,)

I've expanded the brackets, simplied the fractions before simplifying them again, having found the common denominators of the constants and x terms.

Answer:

7.

Step-by-step explanation:

What you can do to figure it out is divide 35 by all the answers. If it comes out even that's the answer. 35/7 = 35

hope this helps, good luck :)

Answer:

21/7=3

3 times bigger.

Step-by-step explanation:

Answer:

9v + 9 = 0

Step-by-step explanation:

9 (-1) + 9 = 0

Answer:

160 min or 2.66666667 hours per a week

Step-by-step explanation:

its very simple

40*4=160

hope I helped :)

Answer:

110 feet

Step-by-step explanation:

The formula to find the area of a rectangular prism is A = 2 (wl + hl + hw)

Substitute the values:

A = 2 (5x5 + 3x5 + 3x5)

A = 2 (25 + 15 + 15)

A = 2 (25 + 15 + 15)

A = 2 (55)

A = 110

Answer:

width= 223.9 ft

Step-by-step explanation:

perimeter=2(l+w)

948.2=2(250.2+w)

948.2=500.4+2w

948.2-500.4=2w

447.8=2w

w=447.8/2

  =223.9 ft

Answer:

15 girls

Step-by-step explanation:

Well, the ratio of 2/3, boys to girls. So, you would then try to find an (almost) common denominator, so 2/3 is equivalent to 10/15. In this case, there would be 15 girls

Lol hope this helps

Answer:

C, the third choice

Step-by-step explanation:

Answer:

How to use Algebra to find parallel and perpendicular lines. ... y = mx + b. Slope- Intercept Form ... Find the equation of the line that is: ... For y = 3x + 2: the slope is 3, and y- intercept is 2.

Answer:

Ivan got £90 more than Tanya.

Step-by-step explanation:

Ivan and Tanya share the amount £150 in the ratio of 4 : 1

Amount received by Ivan = [tex]150\times \frac{4}{(4+1)}[/tex]

                                          = [tex]150\times \frac{4}{5}[/tex]

                                          = £120

Similarly, amount received by Tanya = [tex]150\times \frac{1}{(4+1)}[/tex]

                                                             = £30

Difference in their amounts = 120 - 30

                                              = £90

Therefore, Ivan got £90 more than Tanya.                                                                                                        

Answer:

30 weeks

Step-by-step explanation:

$450÷$5=30

He already had $50 in there

Answer:

30 Weeks

Step-by-step explanation:

Since we need to reach a total of 500, we have 50, so we need 450 to get 500, 15 a week, 30 times 15 equals 450. So (30 Weeks) times (15 Each Week) equals 450 plus that 50 he added in the savings account.

Answer:   0-o uhhhh 0-o

uhhhh0-o

Step-by-step explanation:

Answer:

9 m

Step-by-step explanation:

Given that:

Carousel diameter = 8m

Radius of carousel = 8m / 2 = 4m

From the attached picture :

xo = d ; from the diagram attached ;

Using Pythagoras :

Cosθ = Adjacent / hypotenus

Cos 60 = d / 4

0.5*4 = d

d = 2

d = 2m

d + length of Radius + initial distance from fence

2m + 4m + 3m = 9m

Answer:

7.) x = 21

8.) y = 6

9.) angle F = 62 degrees

10.) TS = 10

Step-by-step explanation:

5y-2 = 28

5y = 30

y = 6

4x+6 = 90

4x = 84

x = 21

angle F = 90-28

angle F = 62 degrees

3z-8 = z+4

2z = 12

z = 6

TS = z+4 = 10

Answer:

d = 53.33333

Step-by-step explanation:

Solve for d on calculator

Answer:

pleas help me asap please!!!!!!

pleas help me asap please!!!!!!

Step-by-step explanation:

pleas help me asap please!!!!!!

Answer:

f(x) = Ca^x

x = years since 2000.

f(0) = 220000 = Ca^0 = C

f(x) = 220000a^x

f(1) = 220000(1-0.11) = 220000a^1

a = 0.89

f(x) = 220000(0.89)^x

So each year reduces by 89%

Answer:

51.3 degrees

Step-by-step explanation:

Answer:

37.68

Step-by-step explanation:

[tex]c = 2 \times 6 \times 3.14 = 37.68[/tex]

Answer:

your awnser should be. 24.75 + 20% = $29.70

so the amount added to her bill is $4.95

Answer:

the bill will be 4.95 more than the original cost without the 20% tip.

Step-by-step explanation:

cost before tip: 4.75

cost after 20% tip: 29.70 or 30.00 (rounded)

Answer:

[tex]when \: \\ \tan(2x) = \frac{2 \tan(x) }{1 - {( \tan(x)) }^{2} } \: \: and \\ \sin(2x) = \frac{2 \tan(x) }{1 + {( \tan(x)) }^{2} } \\ then \\ \sin(2x) + \tan(2x) = \frac{2 \tan(x) }{1 - {( \tan(x)) }^{2} } + \frac{2 \tan(x) }{1 + {( \tan(x)) }^{2} } \\ = \frac{2 \tan(x)(1 + {( \tan(x)) }^{2} + 2 \tan(x) (1 - {( \tan(x)) }^{2} }{(1 + {( \ \tan(x)) }^{2}(1 - {( \tan(x)) }^{2} } \\ = \frac{2 \tan(x) \times 2 }{1 - {( \tan(x) }^{4} } \\ = \frac{4 \tan(x) }{1 - {( \tan( \times ) )}^{4} } [/tex]

Step-by-step explanation:

If you need any explanation. I can do it, my friend. you can communicate with me to that or any thing do you need in math

Answer:

x = -7

Step-by-step explanation:

-7(?)=49

negative times a negative is a positive

7×7=49

-7×-7=49