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yawa3891 [41]
3 years ago
7

sarah owes 22.40 for her text messaging in the month of march. If her texting message plan costs 14 dollars for the first 250 me

ssages and .5 cent for each additional messages how many text messages did she send that month?
Mathematics
2 answers:
bogdanovich [222]3 years ago
7 0
0.5 times 16 equals 8 so that’s 276 messages 0.5 to get 40 cents is 8 more so 276 messages in all I hope I did this right
Valentin [98]3 years ago
4 0

The answer is 267.

If we wanted to represent this scenario as an equation, it would be 22.40-14+.5x (x being the amount of texts after 250). We are using PEMDAS, but because the variable is unknown, we skip multiplication and just go left to right. 22.40 - 14 = 8.40. With 8.40, we now know how much it costed AFTER 250 messages (how much she owes after $14). If we want to find how many PER 50 cents, we have to DIVIDE (reverse of multiplication). 8.4 / .5 = 16.80. Because you can't send .8 of a text message, you round to get 17. 250 + 17 = 267 (messages sent that month).

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Of those women who are diagnosed to have early-stage breast cancer, one-third eventually die of the disease. Suppose a screening
Finger [1]

Answer:

A) Alternative hypothesis; Ha: p_o > ⅔

B) Null hypothesis;

H0: p_o = ⅔

C) There is sufficient evidence to support the claim that the community screening programme was effective

D) p-value = 0

Its less than the significance value and so we will reject the null hypothesis and conclude that the community screening programme was effective

Step-by-step explanation:

A) We are told that ⅓ of those diagnosed eventually die of the disease. Thus, ⅔ is the fraction that will survive the disease.

Thus, the null hypothesis is;

H0: p_o = ⅔

We are told that a screening programme was started to increase the survival rate. Thus,the alternative hypothesis is;

Ha: p_o > ⅔

B) null hypothesis is;

H0: p_o = ⅔

C) 164 out of the 200 women selected survived the disease.

Thus sample proportion is;

p^ = 164/200

p^ = 0.82

For the z-score value, we will use the formula;

z = (p^ - p_o)/√((p_o(1 - p_o)/n)

Now, p_o = ⅔ = 0.67

Thus;

z = (0.82 - 0.67)/√((0.67(1 - 0.67)/200)

z = 4.51

From online p-value from z-score calculator, we have p-value ≈ 0

This is less than the significant level of 0.05 and therefore we will reject the null hypothesis and conclude that the community screening program was effective.

D) p-value ≈ 0

Reject the null hypothesis

4 0
2 years ago
What is the GCF of 96x5 and 64x2?
Lady_Fox [76]

Answer:

32

Step-by-step explanation:

32 is the GCF of the whole numbers and up to x2 can go into both  

The answer should be 32x2

Hope this helps

4 0
2 years ago
Read 2 more answers
Substitute the values for a, b, and c into b2 – 4ac to determine the discriminant. Which quadratic equations will have two real
garik1379 [7]

The complete question is

"Substitute the values for a, b, and c into b2 – 4ac to determine the discriminant. Which quadratic equations will have two real number solutions? (The related quadratic function will have two x-intercepts.) Check all that apply.

0 = 2x^2 – 7x – 9

0 = 4x^ 2 – 3x – 1

The quadratic equations that have real number solutions are; 4x^2 – 3x – 1, and 2x^2 – 7x – 9.

<h3>What is the formula for Discriminant?</h3>

The formula for finding the discriminant is

b^2 - 4ac

The solution contains the term \sqrt{b^2 - 4ac} which will be:

Real and distinct if the discriminant is positive

Real and equal if the discriminant is 0

Non-real and distinct roots if the discriminant is negative

For the quadratic equation 2x^2 - 7x - 9

b^2 - 4ac

= (-7) ^2 - 4( 2) ( -9)\\\\= 49 + 72 = 121

This equation has two real number solutions.

For the quadratic equation 4x^ 2 - 3x- 1

b^2 - 4ac

= (-3) ^2 - 4( 4) ( -1)\\\\= 9 + 16 = 25

This equation will have two real number solutions.

Learn more on discriminant here:

brainly.com/question/1537997

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5 0
1 year ago
An empty rectangular tank measures 60 cm by 50 cm by 56 cm. It is being filled with water flowing from a tap at a rate of 8 lite
Aleksandr-060686 [28]

Answer:

21 min

Step-by-step explanation:

V = lwh

V = 60(50)(56) = 168000 cu. cm

8 liters = 8000 cu cm

168000/8000 = 21 min.

5 0
2 years ago
How can i find the missing angle of this shape?
Nostrana [21]
The missing angle is 130 degrees.

The sum of all the angles of a hexagon equal 720 degrees. So, you'd add all the known angles together (this gives you 590), then subtract that from 720. Thus getting 130 degrees as a final answer.

I hope this helps!
5 0
3 years ago
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