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3 years ago

AAP4C

Mathematics

1 answer:

Lunna [17]3 years ago

5 0

Answer:

cosine 71° = distance from wall / 10

A) distance from wall = cosine (71) *10

distance from wall = 3.2557 feet

B) Height up the wall ^2 = 10^2 - 3.2557^2

Height up the wall ^2 = 100 -10.59958

Height up the wall ^2 = 89.40041751

Height up the wall = 9.45518 feet

Step-by-step explanation:

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A jug has a maximum capacity of 14 liters. is filled to 60% of its capacity, and then poured out at a rate of 60 mL/s. Which of

ZanzabumX [31]

Answer:

W(x) = 3.4 L - (25/1000)(L/s)*x

Step-by-step explanation:

it a tip

W(x) = 3.4 L - (25/1000)(L/s)*x

The maximum of the jug is 4 L.

now, the jug is 85% filled, then the amount of water in the jug is:

(85%/100%)*4L = 0.85*4L = 3.4L

Now, we pour 25 mL each second, so we could write a linear equation as:

W(x) = 3.4L - (25ml/s)*x

where x is the number of seconds that passed since the beginning,

But we want to write this in Liters, we have that:

1L = 1000mL.

Then 1mL = (1/1000) L

then we can write 25 mL as:

25m L = 25*(1/1000) L = (25/1000) L

Then we can write the equation as

W(x) = 3.4 L - (25/1000)(L/s)*x

which is the amount of water remaining in the jug after x seconds.

7 0

3 years ago

Which linear function has the same y-intercept as the one that is represented by the graph?

konstantin123 [22]

Click the link for the answer

8 0

3 years ago

S = {2, 4, 6, 8, 10

Aloiza [94]

Answer:

0.2

Step-by-step explanation:

the total is 10

they said that it has to be the same group as S and T

the only numbers that are in the same groups is 2 and 4

the fraction is then 2/10

which is .2

correct me if i am wrong

8 0

3 years ago

A quality-control manager for a company that produces a certain soft drink wants to determine if a 12-ounce can of a certain bra

tensa zangetsu [6.8K]

Answer:

We conclude that the average calorie content of a 12-ounce can is greater than 120 calories.

Step-by-step explanation:

We are given that a quality-control manager for a company that produces a certain soft drink wants to determine if a 12-ounce can of a certain brand of soft drink contains 120 calories as the labeling indicates.

Using a random sample of 10 cans, the manager determined that the average calories per can is 124 with a standard deviation of 6 calories.

Let $\mu$ = average calorie content of a 12-ounce can.

So, Null Hypothesis, $H_0$ : $\mu \leq$ 120 calories {means that the average calorie content of a 12-ounce can is less than or equal to 120 calories}

Alternate Hypothesis, $H_A$ : $\mu$ > 120 calories {means that the average calorie content of a 12-ounce can is greater than 120 calories}

The test statistics that would be used here One-sample t test statistics as we don't know about the population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample average calories per can = 124 calories

s = sample standard deviation = 6 calories

n = sample of cans = 10

So, test statistics = $\frac{124-120}{\frac{6}{\sqrt{10} } }$ ~ $t_9$

= 2.108

The value of t test statistics is 2.108.

Now, at 0.05 significance level the t table gives critical value of 1.833 at 9 degree of freedom for right-tailed test. Since our test statistics is more than the critical values of t as 2.108 > 1.833, so we have sufficient evidence to reject our null hypothesis as it will in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that the average calorie content of a 12-ounce can is greater than 120 calories.

7 0

3 years ago

Plz help me solve these:)

igomit [66]

Answer:

1. $x=3$

2. $1$

3. $x=11$

Step-by-step explanation:

$1.\\\frac{x}{5}=\frac{12}{20}\\\\x=3\\\\\\2.\\-1\frac{3}{5}*(-\frac{5}{8})=\\\\-\frac{8}{5}*(-\frac{5}{8})=\\\\-(-\frac{40}{40})=\\\\-(-1)=\\\\1\\\\\\3.\\\frac{x}{14}=\frac{55}{70}\\\\x=11$

3 0

4 years ago