Answer:
There were (4x + 2) grapes in the bowl
Step-by-step explanation:
Here, we are interested in calculating the total number of grapes in the bowl.
We have 3 people sharing the total
Damien are x grapes
Jake ate 1 more than twice what Damien and that is (1 + 2x) grapes
Makayla ate 5 fewer grapes than Damien: So what Makayla ate is (x-5) grapes
And now, we have 6 grapes left.
To find the total number of grapes in the bowl, we need to add up all what they ate plus what is left.
Mathematically, that would be;
x + 1 + 2x + x -5 + 6
= 4x + 2
Answer: C. A conclusion based on a confidence interval estimate will be the same as a conclusion based on a hypothesis test.
Explanation: The One-Sample Proportion Test is used to assess whether a population proportion (P1) is significantly different from a hypothesized value (P0). This procedure calculates sample size and statistical power for testing a single proportion using either the exact test or other approximate z-tests.
To write a null hypothesis, first, start by asking a question. Rephrase that question in a form that assumes no relationship between the variables. In other words, assume a treatment has no effect. Write your hypothesis in a way that reflects this.
A null hypothesis is a hypothesis that says there is no statistical significance between the two variables. It is usually the hypothesis a researcher or experimenter will try to disprove or discredit. An alternative hypothesis is one that states there is a statistically significant relationship between two variables.
The number of hours Jeremiah ironed = 10 hours
The number of hours Tristan ironed = 7 hours
<u>Step-by-step explanation</u>:
- Jeremiah can iron = 35 shirts per hour
- Tristan can iron = 20 shirts per hour
- Total work done by both = 490 shirts
Let 'x' be the number of hours Jeremiah ironed.
Let 'y' be the number of hours Tristan ironed.
x+y = 17 ------(1)
35x + 20y = 490 -------(2)
Multiply (1) by 20 and subtract (2) from (1),
20x + 20y = 340
-(<u>35x + 20y = 490</u>)
<u>-15x = -150 </u>
x = 150/15
x = 10
Substitute x=10 in (1)
10+y = 17
y = 7
