Two forces of 90 newtons and 58 newtons act simultaneously on an object. The angle between the two forces is 57°. Find the magnitude of the resultant, to the nearest 10th of a newton.

Answer:

9.32millimetres

10. 7inches

Step-by-step explanation:

9. r=½diameter

r=½×64

r=32

10. volume=length×width×height

336=6×8×h

336=48h

h=336/48

h=7

Answer:

2) false, no

3) true, yes

4) false, no

5) true, yes

Answer:its library to police station

Step-by-step explanation:

<1=97°

steps:

<1+83=180 co interior angle

<1=180-83=97°

Answer:

15

Step-by-step explanation:

Answer:

It says 15 18 is correct

Step-by-step explanation:

Answer:

no se ingles así que no se pero te doy gracias por los puntos

Answer:

Interest = [tex] \boxed{\$ 789.75} [/tex]

Explanation:

Interest [I] = principle × rate × time [prt]

______________________________

x% = x/100

a b/c = a + (b/c) = (ac + b) / c

______________________

I = prt

I = ($1,950)(4 ½%)(9)

I = ($1,950)(0.045)(9)

I = ($87.75)(9)

I = ($789.75)

I = $789.75

Answer:

Divide both with 3.

12/3 = 4x

-3 divided by 3 = -1.

You end up with 4x-1 which is the final simplification.

Step-by-step explanation:

Answer:

This is your answer ☺️☺️☺️. If I'm right so,

Please mark me as brainliest. thanks!!!

Answer:

1

Step-by-step explanation:

every single thing to the power of 0 is 1

Answer:

0

Step-by-step explanation:

Answer:

D. 28.26 in²

Step-by-step explanation:

Area of a circle= πr²

r= 3

π= 3.14

A= (3.14)(3)²

A= 28.26 in²

Answer:

Me puedes informar mas?

Answer:

NO POSSIBLE TRIANGLES

Step-by-step explanation:

Answer:

no possible triangles

Step-by-step explanation:

Answer:

a) 0.0618 = 6.18% probability that the sample will contain at least three defectives.

b) 0.076 = 7.6% probability that the sample will contain at least three defectives

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Normal probability distribution

Problems of normally distributed distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].

Sample of 20 items is selected from the machine.

This means that [tex]n = 20[/tex]

5% defectives

This means that [tex]p = 0.05[/tex]

(a) the normal approximation to the binomial

The mean is:

[tex]\mu = E(X) = np = 20*0.05 = 1[/tex]

The standard deviation is:

[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{20*0.05*0.95} = 0.9747[/tex]

The probability is, using continuity correction, [tex]P(X \geq 3 - 2.5) = P(X \geq 2.5)[/tex] , which is 1 subtracted by the pvalue of Z when X = 2.5. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{2.5 - 1}{0.9747}[/tex]

[tex]Z = 1.54[/tex]

[tex]Z = 1.54[/tex] has a pvalue of 0.9382

1 - 0.9382 = 0.0618

0.0618 = 6.18% probability that the sample will contain at least three defectives.

(b) the exact binomial tables

This is:

[tex]P(X \geq 3) = 1 - P(X < 3)[/tex]

In which

[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{20,0}.(0.05)^{0}.(0.95)^{20} = 0.358[/tex]

[tex]P(X = 1) = C_{20,1}.(0.05)^{1}.(0.95)^{19} = 0.377[/tex]

[tex]P(X = 2) = C_{20,2}.(0.05)^{2}.(0.95)^{18} = 0.189[/tex]

[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.358 + 0.377 + 0.189 = 0.924[/tex]

[tex]P(X \geq 3) = 1 - P(X < 3) = 1 - 0.924 = 0.076[/tex]

0.076 = 7.6% probability that the sample will contain at least three defectives

Answer:  1.42 x 10^5

Step-by-step explanation:

Scientific Notation usually express in the form of [tex]c* 10x^{n}[/tex], where c is between 1 and 9.

142000

= 1.42 x 10^5

Answer: 21

Step-by-step explanation:

First, divide 14 by 2 which is 7. Then multiply 7 by 3 because it's 2/3 so that is 21. The answer is 21

Answer:

-33

Step-by-step explanation:

27-(-3)=30

-3-30=-33

It was so easy xD

its x=1

y=12×1+7

y=-6×1+25

=19

Answer:

4 weeks

Step-by-step explanation:

To find the answer, we have to look at the weeks that follow to see if they have the same amount of money.

Week 1

Math: $30

Science: $55

Week 2

Math: $40

Science: $60

Week 3

Math: $50

Science: $65

Week 4

Math: $60

Science: $70

Hope this helped!

Stay safe <3

Answer:

1.56 is greater than 1.29. (Check after the decimal point, 5 is greater than 2, so 1.56 is greater than 1.29)

Answer:

I believe that 1.56 is grater than 1.29.

hope this helps.

Answer:

2. 8x=56

divide both sides of the equation by 8

8x divided by 8=56 divided by 8

any expression divided by itself equals 1

x=56 divided by 8

calculate the quotient

x=7

3. 918 divided by 3= 306

4. answer is 5/21

5&6 not sure

7. inches

8. not sure

Answer:

Q1. 4.5

Q2. 7

Q3. 306

Q4. 5/21

Q5. B. Cube

Q6. AEC and BED

Step-by-step explanation:

1. I found what 8*18 was, then I just divided that by 32 to find the missing value.

2. You want to reverse it and then solve so 56/8=7.

3. You can use a calculator for this 918/3=306

4. This you'd want to get the common denominators for each so just convert.

4/7*3/3=12/21

1/3*7/7=7*21

now just solve 12/21-7/21=5/21

5. Cube, there are 6 faces that are squares on it.

6. Acute angles are angles that are smaller than 90 degrees.

7. Feet, beds are long so feet are the best. Inches would be too little, miles are way too much, and gallons aren't even the right measuring unit.

8. So prime numbers are numbers that can only be divided by 1 and themselves so 1 is a prime number because if you divide 1 by 2 you get a fraction. So now we just want to find the prime numbers in this set.

1 is prime

2 is prime

3 is prime

4 is not prime; 4/2=2 whole number

5 is prime

this means that 4/5 numbers are prime, and 4/5=0.8 or 80%.

Hopefully, this helped you understand, feel free to lmk if you have any questions, and have a good day.

Answer:

E[T] = 10

Step-by-step explanation:

A distribution is called uniform if each outcome has the same probability of happening.

The uniform distribution has two bounds, a and b, and the expected value of the uniform distribution is given by:

[tex]E = \frac{a+b}{2}[/tex]

Uniformly distributed between 0 and 20 minutes.

This means that [tex]a = 0, b = 20[/tex]

Let T be the number of minutes you wait until you board a bus. Find E[T].

This is

[tex]E[T] = \frac{a + b}{2} = \frac{0 + 20}{2} = 10[/tex]

E[T] = 10

Answer:

158%

Step-by-step

$15.50 - $6 = $9.50 < Profit

Now To find The Percentage of the markup on the lip gloss?

You Divide $9.50  by $6 And You Will Get This 1.58333333333

For A Percent You Move The Decimal Point Back Two Spots And You Get

158%

I Hope You Understand and i hope i helped you

[tex]7(6 + y)[/tex]

[tex](y \times 6) + (y \times 7)[/tex]

[tex]6(y + 7)[/tex]

[tex](y \times 6) {y}^{2} [/tex]

Answer:

I think its gona be aroundddddddddddddddddddd 30,000

oh rats.. i was in that area tho ........36,230

Answer:

I think it's C

Step-by-step explanation:

Hope this helps you

Answer:

uhhhhhhhhh help with what ?

Answer:

To see if a table of values represents a linear function, check to see if there's a constant rate of change. If there is, you're looking at a linear function!