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daser333 [38]
3 years ago
14

Plz help me im stuck

Mathematics
1 answer:
kari74 [83]3 years ago
5 0

Answer:

x = 50 ounces

Step-by-step explanation:

call the capacity of bottle x ounce

Anna has a water bottle that is half full. -> x/2

After she drinks 15 fluid ounces from the bottle, it is only one-fifth full

-> (x/2)-15 = x/5

-> 3x/10 = 15

-> x = 50 ounces

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380% of 30 is what number?
iren2701 [21]
380 percent of 30 is 114
5 0
3 years ago
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6. A car dealership would like to estimate the mean mpg of its new model car with 90% confidence. The population is normally dis
Yakvenalex [24]

Answer:

92.9997<\mu<99.5203

Step-by-step explanation:

Using the formula for calculating the confidence interval expressed as:

CI = xbar ± Z * S/√n where;

xbar is the sample mean

Z is the z-score at 90% confidence interval

S is the sample standard deviation

n is the sample size

Given parameters

xbar = 96.52

Z at 90% CI = 1.645

S = 10.70.

n = 25

Required

90% confidence interval for the population mean using the sample data.

Substituting the given parameters into the formula, we will have;

CI = 96.52 ± (1.645 * 10.70/√25)

CI = 96.52 ± (1.645 * 10.70/5)

CI = 96.52 ± (1.645 * 2.14)

CI = 96.52 ± (3.5203)

CI = (96.52-3.5203, 96.52+3.5203)

CI = (92.9997, 99.5203)

<em>Hence a 90% confidence interval for the population mean using this sample data is 92.9997<</em>\mu<em><99.5203</em>

4 0
3 years ago
Can someone explain this to me??
SOVA2 [1]

Answer:

Yes. g⁻¹(x) = f(x).

Step-by-step explanation:

Let y = ∛x - 1.

Rearrange to solve for x:

y+1 = ∛x

(y+1)³ = x

Swap x and y:

(x+3)³ = y

g⁻¹(x) = (x+3)³ = f(x)

8 0
3 years ago
The speed of a sparrow is x km/h in still air. When the
Semmy [17]

Answer:

x = 5m/s

Step-by-step explanation:

Distance flying out = 12 km  (headwind)

Distance flying back = 12 km (tailwind)

total distance = 12 + 12 =24 km

wind speed = 1km/h

speed going out (with headwind) = (x - 1) km/h

speed coming back (with tailwind) = (x + 1) km/h

Time taken to go out = distance going out / speed going out

= 12 / (x-1)

Time taken to come back = distance coming back / speed coming back

= 12 / (x+1)

total time = time taken to go out + time taken to come back

5 =[ 12/(x-1) ] + [ 12/(x-1)]

expanding this, we will get

5x² - 24x - 5 = 0

solving quadratic equation, we will get

x = -1/5 (impossible because speed cannot be negative)

or

x = 5 (answer)

4 0
3 years ago
(2)+(-13)=<br>whats the answer?​
ziro4ka [17]

Answer:

- 11

Step-by-step explanation:

2 + ( - 13) \\ 2 - 13 =  - 11

5 0
3 years ago
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