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cricket20 [7]
2 years ago
11

I have two question 1. What is 437.04 in expanded form 2.what is 3,543,21 in expanded form

Mathematics
1 answer:
Nikitich [7]2 years ago
3 0
400+30+7. +0+4                              

3,000,000+500+40+3,000+2+1




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Mr. jones has two children. the older child is a girl. what is the probability that both children are girls?
allsm [11]
Since we already know that the older child is a girl (a 100% chance to be a girl), there must be a 50% chance that the other child is a girl. Therefore, the probability that both children are girls is 50%.
Hope this helps!
3 0
3 years ago
The mean and standard deviation of a normal distribution are 150 and 12 respectively. What percentage of values lie between:
Semenov [28]

Answer:

Step-by-step explanation:

Use a calculator with built-in statistical functions.  The function applying here is normcdf(, the "cumulative density function."  

(a) The percentage of values lying between 138 and 162 is

norm(138,162, 150, 12), which comes out to 0.683, or 68.3%.

(b)  Find norm(126, 174, 150,12):  0.945, or 94.5%

(c)  Find norm(126,162, 150,12);  0.819, or 81.9%

(d) Find norm(162, 174,150,12):  0.136, or 13.6%

8 0
3 years ago
Read 2 more answers
Perpendicular to y=2x+9 and has the point (4,-1)
Wewaii [24]

Answer: y =  -\frac{1}{2}x + 1

Step-by-step explanation:

      First, we will find the slope. The slope of perpendicular lines are negative reciprocals.

      In this case, the first slope is 2. The negative of 2 is -2, and the reciprocal of -2 is -\frac{1}{2}.

      Now, we will plug in this new slope, the point given, and solve for the <em>b</em>, or the y-intercept.

y = <em>m</em>x + <em>b</em>

(-1) =  (-\frac{1}{2})(4) + <em>b</em>

-1 =  -2 + <em>b</em>

1 = <em>b</em>

     Lastly, we will write our equation.

y = <em>m</em>x + <em>b</em>

y =  -\frac{1}{2}x + 1

          The line is y =  -\frac{1}{2}x + 1, or y = 1 - \frac{x}{2}.

4 0
2 years ago
Read 2 more answers
David invested $340 in an account paying an interest rate of 2\tfrac{1}{8}2 8 1 ​ % compounded continuously. Natalie invested $3
Nutka1998 [239]

Answer:

$53.83

Step-by-step explanation:

For David

David invested $340 in an account paying an interest rate of 2\tfrac{1}{8}2 8 1 ​ % compounded continuously.

r = 2 1/8% = 17/8% = 2.125% = 0.02125

t = 17 years

P = $340

For Compounded continuously, the formula =

A = Pe^rt

A = Amount Invested after time t

P = Principal

r = interest rate

t = time

A = $340 × e^0.02125 × 17

A = $ 487.94

For Natalie

Natalie invested $340 in an account paying an interest rate of 2\tfrac{3}{4}2 4 3 ​ % compounded quarterly.

r = 2 3/4 % = 11/4% = 2.75% = 0.0275

t = 17 years

P = $340

n = compounded quarterly = 4 times

Hence,

Compound Interest formula =

A = P(1 + r/n)^nt

A = Amount Invested after time t

P = Principal

r = interest rate

n = compounding frequency

t = time

A = $340 (1 + 0.0275/4) ^17 × 4

A = $ 541.77

After 17 years, how much more money would Natalie have in her account than David, to the nearest dollar?

This is calculated as

$541.77 - $ 487.94

= $53.83

Hence, Natalie would have in her account, $53.83 than David

4 0
2 years ago
The American Civil War was a civil war in the United States from 1861 to 1865, fought between northern states loyal to the Union
Sloan [31]

Answer:

The American Civil War was a civil war in the United States from 1861 to 1865, fought between northern states loyal to the Union and southern states that had seceded to form the Confederate States of America.

Why do phase changes occur?

1. Compare: Set the Water temperature to 0 °C and click Play. Observe the water molecules.

Click Reset, set the Water temperature to 100 °C, and click Play again.

What do you notice? The water molecules are moving slightly faster at 100 °C than at 0 °C.

[Note: This difference may be too small to observe easily.]

2. Observe: Click Reset. The mean molecular speed of the water molecules is displayed

below the container. Set the Water temperature to 0 °C and Add/remove heat energy to

400 J/s. Click Play.

A. How does the mean speed of the water molecules change as they are heated?

The average speed of water molecules increases as they are heated.

B. Does the mean molecular speed change as much as the temperature as the

water heats up? Explain.

Sample answer: For each degree of temperature change, the mean molecular

speed increases by about 1 m/s. At 100 °C, the mean molecular speed is about

17% faster than at 0 °C.

3. Explain: How is temperature related to the motions of molecules?

The higher the temperature, the faster the molecules move.

4. Observe: Click Reset. Set the Water temperature to 20 °C and the Ice volume to 50 cc.

Set Add/remove heat energy to 0 J/s. Click Play. How do the molecules in the liquid

interact with the molecules in the solid?

The molecules of the liquid collide with the molecules of solid, gradually breaking the bonds

between the molecules in the solid and causing the ice to melt.

Step-by-step explanation:

7 0
2 years ago
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