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Natalka [10]
3 years ago
5

Distributive property of 40 25

Mathematics
1 answer:
Andrew [12]3 years ago
6 0
You would not be able to use the distributive property of 40 and 25 because the numbers aren't in an equation.
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Assume that adults have IQ scores that are normally distributed with a mean of 101.3 and a standard deviation 19.9. Find the fir
AnnyKZ [126]

Answer:

87.9

Step-by-step explanation:

Use a calculator or table to find the z-score that corresponds to 25%.

P(Z < z) = 0.25

z = -0.675

Now find the value that corresponds to that z score.

z = (x − μ) / σ

-0.675 = (x − 101.3) / 19.9

x = 87.9

4 0
3 years ago
A carnival uses two baskets hanging from springs at different heights. Next to the higher basket is a pile of baseballs. Next to
Lelechka [254]

*I've tried looking up to see if I can find what the part B and c of this question is, but unfortunately, I can't find them. However, I have tried answering this question by answering part a, and also going ahead to answer how to state and explain the secrets of winning the game. I'm pretty sure most of the questions would be answered in the process.

Answer/Step-by-sep explanation:

Using an equation, in slope-intercept form, we can derive an equation that models the relationship of the height of each basket and the number of balls it contains.

The slope-intercept form is given as: y = mx + b, where,

m = slope/rate of change

b = y-intercept/strating value/height of the basket when it's empty.

✍️Baseball Equation:

Using two pairs, (0, 54) and (5, 39) from the given table of values,

Slope/rate of change (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{39 - 54}{5 - 0} = \frac{-15}{5} = -3.

y-intercept, b, = the starting value, or the value of y when x = 0. Therefore, b = 54

This means that the baseball basket was at a height of 54 units when it was empty.

m = -3, means the baseball basket kept reducing at an average rate of -3 units in height as each ball was added.

To derive the baseball equation, substitute m = -3, and b = 54 into y = mx + b.

✅Thus, base ball equation would be:

y = -3x + 54

✍️Golf Ball Equation:

Using two pairs, (0, 45) and (5, 35) from the given table of values,

Slope/rate of change (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{35 - 45}{5 - 0} = \frac{-10}{5} = -2.

y-intercept, b, = the starting value, or the value of y when x = 0. Therefore, b = 45

This means that the golf ball basket was at a height of 45 units when it was empty.

m = -2, means the golf ball basket kept reducing at an average rate of -2 units in height as each ball was added.

To derive the baseball equation, substitute m = -2, and b = 45 into y = mx + b.

✅Thus, golf ball equation would be:

y = -2x + 45

Now, to win the game, we have to find out how many number of exact balls (x) we need to add in each basket equally, for both baskets to be at the same height.

To do this, set the equation of the baseball equal to that of the golf ball.

Thus:

-3x + 54 = -2x + 45

Collect like terms

-3x + 2x = -54 + 45

-x = -9

Divide both sides by -1

x = 9

✅To win the game, add 9 balls each to both basket to make the height of both baskets equal.

Let's check to see if both baskets will yield the same height if we add 9 balls each basket.

✍️Height (y) of Golf ball basket if we add 9 balls (x):

Substitute x = 9 into y = -2x + 45

y = -2(9) + 45 = -18 + 45

y = 27 units

✍️Height (y) of Baseball basket if we add 9 balls (x):

Substitute x = 9 into y = -3x + 54

y = -3(9) + 54 = -27 + 54

y = 27 units

✅As we can see, both baskets will be at the same height of 27 units when we add 9 balls to each basket.

The game will be won if we do this.

6 0
2 years ago
A computer supplies store is having a store wide sale this weekend. And inkjet printer that normally sells for $179 is on sale f
klasskru [66]
Hey again!

i don't know if i am doing this correctly but i will give it a go

179 - 143.20 = 35.8

179 / 35.8 = 5

so this would mean from 179 to 143.20 their is a 5% discount

Hope This Helps!
8 0
3 years ago
10 points! Help please!
liraira [26]

Answer:

74.2899408284 meters

Step-by-step explanation:

2.7 : 1.69

x : 46.5

46.5/1.69=27.5147928994

27.5147928994*2.7=74.2899408284

8 0
3 years ago
15<br> 2 pts<br> Find the area of the given shape,<br> a) 18<br> b) 15<br> c) 24<br> d) 21
Nataly [62]

9514 1404 393

Answer:

  A.  18

Step-by-step explanation:

The area of a trapezoid is given by the formula ...

  A = 1/2(b1 +b2)h

Here, the parallel bases have lengths 3 and 9. The height is 3, so the area is ...

  A = 1/2(3 +9)(3) = 18

The area of the trapezoid is 18 square units.

3 0
2 years ago
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