A theory predicts that the mean age of stars within a particular type of star cluster is 3.3 billion years, with a standard deviation of .4 billion years. (Their ages are approximately normally distributed.) You think the mean age is actually greater, and that this would lend support to an alternative theory about how the clusters were formed. You use a computer to randomly select the coordinates of 50 stars from the catalog of known stars of the type you're studying and you estimate their ages. You find that the mean age of stars in your sample is 3.4 billion years.

Answer:

-5

hope this helped!!

Answer: B

Step-by-step explanation: because there were more students with score of 94 than any number.

The interpretations that must be correct is option B.

Given that,

Based on the above information, the information is as follows:

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Answer:

The y-intercept is 4

Step-by-step explanation:

Answer:

a. 42

b. 122

a. 57

b. 130

Step-by-step explanation:

For problem A:

because both of these values have positive numbers, just use normal subtraction

82 - 40 = 42 degrees warmer

For problem B:

because we are subtracting a negative number from a positive number, we add both of these numbers because 82 - -40 can also be equal to 82 + 40

82 - -40 = 122

For problem A:

the sentences 30m up a cliff and 87m up a cliff are describing positive values.

87 - 30 = 57

For problem B:

Now in this problem, the sentence 100m above the surface is describing a positive value, but the sentence 30m below the surface describes a negative value

how do I know this?

if the sentences above the surface and below the surface are describing positive and negative values, then there has to be a neutral value ( which is 0)

0 meters = the surface, because they are using both positive and negative values, meaning that the surface is the neutral value

by using a number line, you can draw it out like this

below the surface-------------------------the surface----------------------------above the surface

-30--------------------------------------------0--------------------------------------------100

therefore, 100 - - 30 = 100 + 30 = 130

Answer:

9

Step-by-step explanation:

Answer:

x(the number)=3

Step-by-step explanation:

3×3+3squared = 18

Answer:

3x + x^2 = 18

x^2 + 3x - 18 = 0

(x + 6)(x - 3) = 0

x + 6 = 0

x = -6

x - 3 = 0

x = 3

The probability the dish was broken by Casper if he bussed tables is;

P(Casper bussing tables and breaking dish) = 0.6%

We are given the three probabilities each for Alonzo, Bob and Casper for bussing tables and also in case any dish should break.

P(Alonzo bussing tables) = 70% = 0.7

P(Bob bussing tables) = 10% = 0.1

P(Casper bussing tables) = 20% = 0.2

P(Alonzo breaking a dish) = 6% = 0.06

P(Bob breaking a dish)  = 2% = 0.02

P(Casper breaking a dish)  = 3% = 0.03

This is all about independent events as the probability of breaking the dishes does not increase or decrease with the bussing of the tables.

Thus; P(A and B) = P(A) + P(B)

Thus, if a dish is broken, the probability that it was broken by Casper is;

P(Casper bussing tables and breaking dish) = P(Casper bussing tables) × P(Casper breaking a dish)

P(Casper bussing tables and breaking dish) = 0.2 × 0.03

P(Casper bussing tables and breaking dish) = 0.006 or 0.6%

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Multiples of 3

: 3, 6, 9, 12, 15, 18, 21, 24, ...

Multiples of 4

: 4, 8, 12, 16, 20, 24, ...

Multiples of 8

: 8, 16, 24, ..

2

Find the smallest number that is shared by all rows above. This is the LCM.

LCM = 2424

Method 2: By Prime Factors

1

List the prime factors of each number.

Prime Factors of 3

: 3

Prime Factors of 4

: 2, 2

Prime Factors of 8

: 2, 2, 2

2

Find the union of these primes.

2,2,2,32,2,2,3

3

Multiply these numbers: 2\times 2\times 2\times 3=242×2×2×3=24. This is the LCM.

LCM = 2424

Answer:

Here you go. Check the answer in book too.

Answer:

10m ( p - q )

Step-by-step explanation:

[tex] \frac{15lm \times 2 {cp}^{2} {q}^{2} }{3l(p + q)}[/tex]

[tex] \frac{30lm \: (p - q)(p + q)}{3l(p + q)} [/tex]

[tex] \frac{10lm(p - q)}{l} [/tex]

[tex]10m(p - q)[/tex]

Hope it is helpful....

Answer:

he lost 16, he has 8 left

Step-by-step explanation:

24 divided by 6 =4

4 x 4 = 16

24 - 16 = 8

Answer:

20 grams will be left.

Step-by-step explanation:

Half-life is 11 days

This means that in each 11 days, you lose 50% of the amount.

33 days

33/11 = 3 half-lifes.

You start with 160 grams

After 11 days: 160/2 = 80 grams

After 22 days: 80/2 = 40 grams

After 33 days: 40/2 = 20 grams.

20 grams will be left.

Answer:10

Step-by-step explanation:

Answer:

36.1

Step-by-step explanation:

Answer:

x = 8

Step-by-step explanation:

51° = 4x + 19

32° = 4x

8 = x

Answer:

x = 8

Step-by-step explanation:

well, 4 x something + 19 = 51

51-19=32

32/4=8

so your answer is 8

4 x 8 + 19 = 51

From left to right starting on the top row it goes standered ,standered, vertex.The  bottom row goes from left to right vertex, vertex standerand.

hope this helps!

Answer:

$1,344.00

Step-by-step explanation:

A=P(1+rt)

A=1,200(1+(0.04)(0.03))

Answer:

This is a rectangle

Step-by-step explanation:

2D shape with 4 right angles would be a rectangle because 2 sides are equal and the other 2 would be equal to give you 4 right angles

Answer:

2080 meters

Step-by-step explanation:

An hour is double of 30 minutes so, if you double the length it went you would get how far it goes in an hour, 2080 meters.

14 dollars is her allowance

Answer:0=−6

Step-by-step explanation:

Answer:

The answer is below

Step-by-step explanation:

The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:

[tex]z=\frac{x-\mu}{\sigma} \\\\for\ a \ sample(n):\\\\z=\frac{x-\mu}{\sigma/\sqrt{n} }\\\\where\ x=raw\ score,\mu=mean, \sigma=standard deviation[/tex]

Given that n = 49, μ = 260 mg/dL, σ = 35 mg/dL

a) For x < 210:

[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} } =\frac{210-260}{35/\sqrt{49} } =-10[/tex]

From the normal distribution table, P(x < 210) = P(z < -10) = 0.0001

b) For x > 205:

[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} } =\frac{205-260}{35/\sqrt{49} } =-11[/tex]

For x < 215:

[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} } =\frac{215-260}{35/\sqrt{49} } =-9[/tex]

P(205 < x < 215) = P(-11 < z < -9) = P(z < -9) - P(z < -11) = 0.0001 - 0.00001 = 0.00009

c) For x < 200:

[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} } =\frac{200-260}{35/\sqrt{49} } =-12[/tex]

From the normal distribution table, P(x < 200) = P(z < -12) = 0.00001

d) For x > 222:

[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} } =\frac{222-260}{35/\sqrt{49} } =-7.6[/tex]

From the normal distribution table, P(x > 200) = 1 - P(z < -12) = 1 - 0.0001 = 0.9999

Answer:

6,7,7 is your answer

6.

3x+2=2x+8

x=6

Step-by-step explanation:

7.14x+12+10x=180

24x=180-12

x=168/24=7

8.9x-3=7x+11

9x-7x=11+3

2x=14

x=14/2=7

Answer:

88

Step-by-step explanation:

Answer:

The formula to find the area of a circle is pi times the radius squared (A = π r²).

Step-by-step explanation:

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{25x^2=49}[/tex]

[tex]\textsf{DIVIDE by 25 to BOTH SIDES}[/tex]

[tex]\mathsf{\dfrac{25x^2}{25}=\dfrac{49}{25}}[/tex]

[tex]\textsf{Cancel out: }\mathsf{\dfrac{25}{25}}\textsf{ because it gives you 1}[/tex]

[tex]\textsf{Keep: }\mathsf{\dfrac{49}{25}}\textsf{ because it helps us solve for x}[/tex]

[tex]\textsf{New equation: }\mathsf{x^2 = \dfrac{49}{25}}[/tex]

[tex]\textsf{TAKE the SQUARE ROOT}[/tex]

[tex]\mathsf{x\pm \sqrt{\dfrac{49}{25}}}[/tex]

[tex]\mathsf{\sqrt{\dfrac{49}{25}}= 1.4}[/tex]

[tex]\mathsf{- \sqrt{\dfrac{49}{25}}= -1.4}[/tex]

[tex]\boxed{\boxed{\large\text{Answer: \huge \bf x = 1.4 or x = -1.4}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

none

Step-by-step explanation:

the lines never meet