guys I really need help plsss

Answer:

A score of 62 is not within one standard deviation of the mean.

Step-by-step explanation:

When the distribution is normal, we use 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.

Mean score of 54 and a standard deviation of 6.

This means that [tex]\mu = 54, \sigma = 6[/tex]

Calculate to see if a score of 62 is within one standard deviation of the mean.

Is Z between -1 and 1 when X = 62?

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

[tex]Z = \frac{62 - 54}{6}[/tex]

[tex]Z = 1.33[/tex]

So a score of 62 is not within one standard deviation of the mean.

Answer:

10, 18, 26

Step-by-step explanation:

Answer:

3.5 inches

Step-by-step explanation:

Height of tallest baby giraffe = 42.75 inches

Height of shortest baby giraffe = 39.25 inches

Difference in height between the tallest and the shortest baby giraffes = 42.75 - 39.25 = 3.5 inches

Answer:

PK=15

RJ=9

Step-by-step explanation:

PK and RJ are angle bisector because they also bisect their side lengths.

QK=2(PQ)=10

PK=5+10=15

QJ=2(QR)=6

RJ=6+3=9

RJ=9

Answer:

4 over 5

Step-by-step explanation:

The simplist form of 8/10 is 4/5.

Answer: 8/10 is a 4/5

Step-by-step explanation:

Answer:

-40

Step-by-step explanation:

This is because she LOST 40 dimes making it a negative number, so the integer to represent this would be -40.

Answer:

a number ending in 0 or 5 has a factor of 5

Step-by-step explanation:

5 is a factor of

5, 10, 15, 20, 25...

any number that ends in 0 or 5 would qualify

Answer:

John takes 20 steps in 10 yards.

Step-by-step explanation:

1 yard = 36 inches

10 yards = 36 x 10 = 360 inches

Since John's step covers 18 inches, divide 360 by 18.

360/18 = 20 steps

Answer:

Step-by-step explanation:

Answer:12 1/2

Step-by-step explanation:

Explanation: Well in my opinion.... Your networth doesn't matter its just showing how much money you spent...

Soo if you had $4 Million you'd pay it automatically.

Answer:

See answer below

Step-by-step explanation:

For the first expression

3 x (x - 2) + 2 = 3 x^2 - 6 x + 2

evaluated at x= 4 we get: 26

and for x = 5 we get 47.

For the second expression

2 x^2 + 3 x - 18

we get the exact same values when doing the evaluation at these two points.

Based on those results, one may think the expressions may be equivalent, but they are not equivalent. Because at any other x-value, their results are different. See for example that for x = 0 the first one gives "2" while the second one gives -18.

Answer:

you can travel 150 miles

Step-by-step explanation:

Answer:

570 miles

Step-by-step explanation:

325.5 - 240 = 85.5

85.5 / 0.15 = 570

Answer:

Step-by-step explanation:

cos²x = 1-sin²x = 1-(5/13)² = 144/169

cosx = √(144/169) = 12/13

tanx = sinx/cosx = (5/13)/(12/13) = (5/13)×(13/12) = 5/12

Answer:

not a function

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

21 minutes

Step-by-step explanation:

35 ÷ 10 = 3.5

3.5 × 4 = 14

35 - 14 = 21

=21

Answer:

a) [tex]\vec{F_{c}}=mR\omega^{2}[/tex]

[tex]\vec{F_{c}}=9.53 \: N \vec{r}[/tex]

b) [tex]|\vec{F_{c}}|=9.53 \: N [/tex]

Step-by-step explanation:

a) The centripetal force equation is:

[tex]\vec{F_{c}}=m\vec{a_{c}}[/tex]

[tex]\vec{F_{c}}=mR\omega^{2}[/tex]

Now, we know that the body makes one revolution every 5 seconds, so we can find the angular velocity:

[tex]\omega=\frac{1 rev}{5 s}=0.2\: \frac{rev}{s}=1.26\: \frac{rad}{s}[/tex]

[tex]\vec{F_{c}}=2*3*1.26^{2}=9.53 \: N \vec{r}[/tex]

The centripetal force is a vector in the radius direction.

b) The magnitude of that force will be:

[tex]|\vec{F_{c}}|=9.53 \: N [/tex]

Answer:

a) 0.0005 = 0.05% probability that an automotive light has two or more defective bulbs.

b) 4000 automotive lights.

Step-by-step explanation:

For each LED, there are only two possible outcomes. Either it is defective, or it is not. Defective bulbs occur independently, which means that we use the binomial probability distribution to solve this question.

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.

An array of 30 LED bulbs is used in an automotive light. The probability that a bulb is defective is 0.001.

This means that, respectively, [tex]n = 30, p = 0.001[/tex].

a. Probability that an automotive light has two or more defective bulbs.

This is:

[tex]P(X \geq 2) = 1 - P(X < 2)[/tex]

In which

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

So

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

[tex]P(X = 0) = C_{30,0}.(0.001)^{0}.(0.999)^{30} = 0.9704[/tex]

[tex]P(X = 1) = C_{30,1}.(0.001)^{1}.(0.999)^{29} = 0.0291[/tex]

[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.9704 + 0.0291 = 0.9995[/tex]

[tex]P(X \geq 2) = 1 - P(X < 2) = 1 - 0.9995 = 0.0005[/tex]

0.0005 = 0.05% probability that an automotive light has two or more defective bulbs.

b. Expected number of automotive lights to check to obtain one with two or more defective bulbs.

0.0005 = 0.05% probability that an automotive light has two or more defective bulbs.

The number of expected trials to obtain n successes with p probability is given by:

[tex]E = \frac{n}{p}[/tex]

In this case, we have that [tex]n = 2, p = 0.0005[/tex]. So

[tex]E = \frac{n}{p} = \frac{2}{0.0005} = 4000[/tex]

4000 automotive lights.

Answer:

Your Picture is just of -3????

Step-by-step explanation:

Answer:

The value of f(3) is -2.

Step-by-step explanation:

This is a recursive function. So

[tex]f(1) = 2[/tex]

Now, we find f(2) in function of f(1). So

[tex]f(1+1) = f(1)^2 - 3[/tex]

[tex]f(2) = f(1)^2 - 3 = 2^2 - 3 = 1[/tex]

Now, with f(2), we can find the value of f(3).

[tex]f(2+1) = f(2)^2 - 3[/tex]

[tex]f(3) = f(2)^2 - 3 = 1^2 - 3 = -2[/tex]

The value of f(3) is -2.

Answer:

(14120/100)*96 = £13,555.20

Step-by-step explanation:

Answer:

£13,555.20

Step-by-step explanation:

14120*4=56480

56480+14120=70,600

then 70,600+20

on a cauculaiter it will give you 70,620 but it is 70,600.20

then 14,1000.50-1,555.30=13,55.20

hope it is helpfull

Answer:

Q11 part 4 is the correct option

Q12 part 4 is also the correct option

Answer:

5

Step-by-step explanation:

its 45

Answer:

-22.667

Step-by-step explanation:

-3.64(5.3) - (1.5)³

-19.292 - 3.375 = -22.667

9514 1404 393

Answer:

  51

Step-by-step explanation:

The rule gives the sequence ...

  75, 69, 63, 57, 51, 45, ...

The 5th number in the sequence is 51.

__

Alternate solution

The equation for the general term of an arithmetic sequence is ...

  an = a1 +d(n -1) . . . . . for first term a1 and common difference d

Your sequence has first term 75 and common difference -6, so the equation is ...

  an = 75 -6(n -1)

Then for n=5, the term is ...

  a5 = 75 -6(5 -4) = 75 -24 = 51

The 5th term is 51.

Answer:

the "b" term is the term "-5 x" in the final quadratic expression

Step-by-step explanation:

Normally the "b" is the "linear term" in a quadratic equation.

So, perform the product of binomials and combine like terms to identify the final "b" term of the quadratic expression you get:

[tex](x-4)*(2x+3)=2x^2 +3x-8x-12=2x^2-5x-12[/tex]

Therefore the "b" term is the term "-5 x" in the final quadratic expression.

Answer:

ehfrbff rf rh g5e

Step-by-step explanation:

fnebghrbgy5gty5hfegwrnfybgrvthr4yftbgryibr4th45f94ny7rfjhyrjfrhvgruf

Answer:

3 3/8 or 3.375

Step-by-step explanation:

simplify

54:8x2

54/16

3 3/8

-4/3 - 2/5

HOPE THAT HELPS DUDE