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2 years ago

Write the word sentence as an equation. Then solve the equation.

Mathematics

2 answers:

Anvisha [2.4K]2 years ago

7 0

Answer: n - 4 = -15

n = -11

Step-by-step explanation:

If -15 is the same as 4 less than n, that means that n - 4 = -15

Then you add 4 to each side of the equation to get n by itself. (-15 + 4 = -11)

That step leaves you with n = -11

Fed [463]2 years ago

6 0

Answer:

n - 4 = -15

N= -11 -11 - 4 = -15

Step-by-step explanation:

n − 4 + 4 = −15 + 4

n = −11

HGD

-ghost

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The probability of drawing a heart from a standard deck of cards is 0.25. You record the car do you draw and return the car befo

Licemer1 [7]

Answer: C) 0.112

Step-by-step explanation:

In binomial distribution with parameters n (Total trails) and p (probability of getting success sin each trial) , the probability of getting success in x trials is given by :-

$P(X=x)=^nC_xp^x(1-p)^{n-x}$

Given : The probability of drawing a heart from a standard deck of cards is 0.25

Here , getting heart is the success.

Then p= 0.25

For n= 20

The probability that you will draw a heart seven times i.e. x= 7:

$P(X=7)=^{20}C_7(0.25)^7(1-0.25)^{20-7}$

$P(X=7)=\dfrac{20!}{7!(20-7)!}(0.25)^7(1-0.25)^{20-7}\ \ [\because\ ^nC_r=\dfrac{n!}{r!(n-r)!}]$

$=\dfrac{20\times19\times18\times17\times16\times15\times14\times13!}{7!13!}(0.25)^7(0.75)^{13}\\\\=77520(0.00006103515625)(0.0237572640181)\\\\=0.112406195476\approx0.112$

Hence, the probability that you will draw a heart seven times = 0.112

Thus , the correct answer is C) 0.112 .

8 0

3 years ago

given the functions f(x)=4x^2-1, g(x)=x^2-8x+5, and h(x)=-3x^2-12x +1, rank them from least to greatest based on their axis of s

Lesechka [4]

The formula for axis of symmetry is -b/2a.

For f(x):
0/2(4)
0/8
Axis of symmetry= 0

For g(x)
-(-8)/2(1)
8/2
Axis of symmetry= 4

For h(x)
-(-12)/2(-3)
12/-6
Axis of symmetry= -2

Order from least to greatest: -2, 0, 4

Final answer: h(x), f(x), g(x)

7 0

3 years ago

Please help me i forgot how to do this

ICE Princess25 [194]

Basically, unit rates are special ratios with two different terms with two different units.

1. 3 inches of rain in 6 hours
Answer: 3 inches:6 hours

2. 70 miles in 2 hours
Answer: 70 miles:2 hours.

It's easy!

5 0

3 years ago

Air containing 0.04% carbon dioxide is pumped into a room whose volume is 6000 ft3. The air is pumped in at a rate of 2000 ft3/m

borishaifa [10]

Answer:

the concentration at 10 minutes= 0.4+0.0133= 0.4133%

Step-by-step explanation:

Air containing 0.04% carbon dioxide

V, volume of room is 6000 ft3.

Q, rate of air 2000 ft3/min,

initial concentration of 0.4% carbon dioxide,

determine the subsequent amount in the room at any time.

What is the concentration at 10 minutes?

firstly, we find the time taken for air to completely filled the room

Q = V/t

t = V/Q = 6000/2000 = 3min

so, its take 3mins for air to be completely filled in the room and for exhaust air to move out.

there is an initial concentration of 0.4% carbon dioxide, and the air pump in is 0.04%.

therefore,

3mins = 0.04% of CO2

3*60 =180sec = 0.04%

1sec = 0.04/180 = 0.00022%/sec

so at any time the concentration of CO2 is 0.4 + 0.00022 =0.40022%/sec

What is the concentration at 10 minute

the concentration at 10minutes = the concentration for 1minute because at every minutes, the concentration moves in is moves out. = concentration for 2000ft3.

for 0.04% = 6000ft3

? = 2000ft3

= 2000* 0.04)/6000 =0.0133%

the concentration at 10 minutes= 0.4+0.0133= 0.4133%

4 0

3 years ago

CALCULUS EXPERT WANTED

Vlad [161]

a. Use the mean value theorem. 16 falls between 12 and 20, so

$v'(16)\approx\dfrac{v(20)-v(12)}{20-12}=\dfrac{240-200}8=5$

(Don't forget your units - 5 m/min^2)

b. $v(t)$ gives the Johanna's velocity at time $t$ . The magnitude of her velocity, or speed, is $|v(t)|$ . Integrating this would tell us the total distance she has traveled whilst jogging.

The Riemann sum approximates the integral as

$\displaystyle\int_0^{40}|v(t)|\,\mathrm dt=12\cdot200+8\cdot240+4\cdot220+16\cdot150=7600$

If you're not sure how this is derived: we're given 5 sample points, so we can cut the interval [0, 40] into 4 subintervals. The lengths of each subinterval are 12, 8, 4, and 16 (the distances between each sample point), and the height of the rectangle approximating the area under the plot of $|v(t)|$ is determined by the value of $v(t)$ at each sample point, 200, 240, |-220| = 220, and 150.

c. Bob's velocity is given by $B(t)$ , so his acceleration is given by $B'(t)$ . We have

$B'(t)=3t^2-12t$

and at $t=5$ his acceleration is $B'(5)=15$ m/min^2.

d. Bob's average velocity over [0, 10] is given by the difference quotient,

$\dfrac{B(10)-B(0)}{10-0}=\dfrac{700-300}{10}=40$ m/min

6 0

3 years ago