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Pavlova-9 [17]
3 years ago
7

Solve -2d +3 = 17 + 5d

Mathematics
1 answer:
ycow [4]3 years ago
6 0
Remember we can do anything to an equation as long as we do it to both sides
and adding a negative of something cancels it so

-2d+3=17+5d
isoltate unknown
add 2d to oth sides
3=17+7d
subtract 17 from both sides
-14=7d
divide 7
-2=d

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A medical researcher is working on a new treatment for a certain type of cancer. The average survival time after diagnosis for t
Nitella [24]

Answer:

The suitable results are:

Option A: The alternative hypothesis could really be true but because the sample size is small, the power is very low so the researchers are likely to run an experiment whose results lead them to make a type II error.

Option D: Inasmuch there is no statistical evidence to accept the null hypothesis. The null hypothesis could be true and there is no difference between the new and standard treatments survival rate.

Explanation:

Below are the options  suitable for results:

Option A: The alternative hypothesis could really be true but because the sample size is small, the power is very low so the researchers are likely to run an experiment whose results lead them to make a type II error - Reason been that, as the sample size increase, so also does the power of the test increase. Therefore, because the power is too small, the researchers are likely to commit type 2 error.

Option D: Inasmuch there is no statistical evidence to accept the null hypothesis. The null hypothesis could be true and there is no difference between the new and standard treatments survival rate.

4 0
4 years ago
Use the quadratic expression 15x2+14x−16 to answer the questions.
marusya05 [52]

Answer:

A: second one or middle choice

B: (5x + 8)(3x - 2)

Step-by-step explanation:

First question (A)

It is a trinomial. You can't use the difference of squares on it. The difference of squares have two terms as an answer.

It is not a perfect square. 15 is not a perfect square and c would have to be positive not minus to even think about using a perfect square.

So the A answer is the second one. You need two different binomials to factor this.

Second Question

You could try all the possible pairings and solve them by brute force.

The are five choices the go with the first one (3x + 4). Eventually you would get the answer, you would have to try 5 + 4 + 3 + 2 + 1 = 15 attempts.

There must be a shorter way.

14 means that the expressions are fairly far apart. This was just luck on my part. There is no logic. 8 and 2 for 16 are fairly far apart.

(5x + 8)(3x - 2)

The middle term is 8*3x - 2*5x = 14x and that looks like the answer.

7 0
3 years ago
1. During October, William Korth worked 160 regular time hours at $9.28 an hour and 18 overtime hours at time-
Vanyuwa [196]

Answer:

Kindly check explanation

Step-by-step explanation:

1.) regular time hours = 160

Overtime hours = 18

Gross pay = (9.28 * 160) + (1.5 * 9.28 * 18) = $1735.36

2.) Last year, Ida Zolen worked 2,000 hours at regular time pay of $8.20 an hour. She also worked 75 hours over time at double his regular rate. What was Ida’s gross pay last year?

Gross pay:

(2000 * 8.20) + (2 * 8.20 * 75) = $17,630

3. Alan Kirbaum works on an 8-hour day basis and is paid $8 an hour for regular time work and time-and-a half for overtime work. Last week he worked these hours: Monday:9 ; Tuesday:6 ; Wednesday:11 ; Thursday:8 ; Friday:9.

A) How many regular hours did he work?

Regular hours = (8 + 6 + 8 + 8 + 8).= 38 hours

B) How many overtime?

Overtime = (1 + 3 + 1). = 5 hours

C) What is his overtime rate?

2.5 * $8 = $20

D) What is his overtime pay?

$20 * 5 = $100

E) Find Alan’s gross pay.

(38 * $8) + $100 = $404

4. Stephen Woll’s regular pay is $20 an hour. He is paid time and a half for overtime work beyond 40 hours a week. He

worked: Monday:11 ; Tuesday:10 ; Wednesday:10 ; Friday:12. Find Stephen

Total Hour = (11 + 10 + 10 + 12) = 43 hours

8 0
3 years ago
What is the rule of a function of the form f(t)= a sin (bt+c) +d whose graph appears to be identical to the given graph?
Gnoma [55]

Answer:

Option D.

Step-by-step explanation:

We can easily solve this problem by using a graphing calculator or plotting tool.

The function is

f(t) = a*sin (b*t +c) + d

Please, see attached picture below.

By looking at the picture with all the possible cases, we can tell that the correct option is D.

The function has a period of T = 6π

Max . Amplitude = 9

Min . Amplitude = -5

7 0
4 years ago
Read 2 more answers
What is the answer to 3x ≥ 4x + 3?????
zimovet [89]

Answer:

ANSWER IS IN EXPLANATION!!

Step-by-step explanation:

Subtract 4x from 3x

-1x ≥ 3

Divide 3/-1

x≥ -3

( flip the sign )

Hope this helped, Have a Great Day!!

4 0
3 years ago
Read 2 more answers
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