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alex41 [277]
3 years ago
12

Kaylah's cell phone has a mass of 50,000 centigrams. what is the mass of her phone in grams

Mathematics
1 answer:
Mashutka [201]3 years ago
7 0
50,000 centigrams / 100 = 500 grams

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You are planning to give you're a regale birthday surprise this coming 12 of July as she about to celebrate her 50th birthday. T
velikii [3]

All functions have an inverse expression.

  • The cost function is: \mathbf{C(x) = 40000 + 100x}.
  • The inverse function is: \mathbf{C'(x) = 0.01x - 400 }

From the question, we have the following observations:

  • Base fare = 50000 pesos for first 100
  • Additional guest = 100 pesos

So, the cost function would be:

\mathbf{C(x) = 50000 + (x - 100) \times 100}

Where: x represents the number of guests, and C(x) represents the cost function

Expand

\mathbf{C(x) = 50000 + 100x - 10000}

Evaluate like terms

\mathbf{C(x) = 40000 + 100x}

To calculate the inverse function, we have:

\mathbf{C(x) = 40000 + 100x}

Replace C(x) with y

\mathbf{y = 40000 + 100x}

Swap x and y

\mathbf{x = 40000 + 100y}

Subtract 40000 from both sides

\mathbf{x - 40000 = 100y}

Divide both sides by 100

\mathbf{\frac{x - 40000}{100} = y}

Rewrite as:

\mathbf{y= \frac{x - 40000}{100} }

Split

\mathbf{y= \frac{x}{100} - \frac{40000}{100} }

\mathbf{y= 0.01x - 400 }

Hence, the inverse function is: \mathbf{C'(x) = 0.01x - 400 }

Read more about functions and inverse at:

brainly.com/question/10300045

3 0
2 years ago
In the past, the population proportion of consumers preferring orange juice with no pulp was equation. To test if this populatio
geniusboy [140]

Answer:

Step-by-step explanation:

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

a) For the null hypothesis,

P = 0.45

For the alternative hypothesis,

P ≠ 0.45

b) For the decision rule, we would reject H0 if 0.1 > p value and accepth H0 if 0.1 < p value

Considering the population proportion, probability of success, p = 0.45

q = probability of failure = 1 - p

q = 1 - 0.45 = 0.55

Considering the sample,

Sample proportion, p = x/n

Where

x = number of success = 52

n = number of samples = 120

p = 52/120 = 0.43

c) We would determine the test statistic which is the z score

z = (p - P)/√pq/n

z = (0.43 - 0.45)/√(0.45 × 0.55)/120 = - 0.44

Recall, population proportion, P = 0.45

The difference between sample proportion and population proportion(P - p) is 0.45 - 0.43 = 0.02

Since the curve is symmetrical and it is a two tailed test, the p for the left tail is 0.45 - 0.02 = 0.43

the p for the right tail is 0.45 + 0.02 = 0.47

These proportions are lower and higher than the null proportion. Thus, they are evidence in favour of the alternative hypothesis. We will look at the area in both tails. Since it is showing in one tail only, we would double the area

From the normal distribution table, the area below the test z score in the left tail 0.3336

We would double this area to include the area in the right tail of z = 0.44 Thus

p = 0.3336 × 2 = 0.67

d) Since alpha, 0.1 < than the p value, 0.67, then we would fail to reject the null hypothesis. Therefore, at a 1% level of significance, we do not have enough evidence to reject the​ null hypothesis

4 0
2 years ago
Can you guys help me with this?? 11 points and brainly. pleaseee and thank uuu!!
Slav-nsk [51]

Answer:

Graph A fails the vertical line test

Step-by-step explanation:

The vertical line test will fail when a vertical line touches two or more points on the graph

Graph A will fail the vertical line test.  The y axis touches two points on the graph.

6 0
3 years ago
Please do these thank you!!!!!!!!ASAP this is 7th grade math
yan [13]
1. 4,821 inches
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3. Height is 23.5 inches
4. The package can be shipped at special rate.
5 0
2 years ago
Tony wants to model the Associative property of addition using a number sentence. Which number sentence could be used for Tonys
FinnZ [79.3K]
A. 12=12
B. 15=15
C.16 = 16
D.15=15
8 0
3 years ago
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