The expression for the total amount of apples is 29x
<em><u>Solution:</u></em>
Given that,
Sarah has 12 bags of apples
Mikaela has 17 bags of apples
Each bag has the same amount of apples inside
Let "x" be the number of apples in each bag
Then,
Sarah has 12x apples
Mikaela has 17x apples
<em><u>Wrie an expression for the total amount of apples</u></em>
Total amount of apples = 12x + 17x
<em><u>Then simplify it using the distributive property to create an equivalent expression</u></em>
By distributive property,
a(b + c) = ab + bc
Therefore,

Thus expression for the total amount of apples is 29x
Answer:
4 so B
Step-by-step explanation:
Answer:
Total cost of cementing the path = Rs. 17,000.
Step-by-step explanation:
Let the square garden be ABCD
Let the region inside the garden (ABCD) be WXYZ.
<u>Given the following data;</u>
Length of sides of ABCD = 90m
Width of path = 5m
Cost = Rs. 10 per m²
Area of ABCD = 90 * 90
Area of ABCD = 8100m²
<em>To find the area of WXYZ;</em>
WX = WZ = 90 - (5 + 5)
WX = WZ = 90 - 10
WX = WZ = 80m
Area of WXYZ = WX * WZ
Substituting into the equation, we have;
Area of WXYZ = 80 * 80
Area of WXYZ = 6400 m²
Area of path = Area of ABCD - Area of WXYZ
Area of path = 8100 - 6400
Area of path = 1700 m²
Total cost of cementing the path = Area of path * cost
Total cost of cementing the path = 1700 * 10
<em>Total cost of cementing the path = Rs. 17,000</em>
Answer:
1. multiply 4x4 (which equals 16)
2. add that answer to 3 (which equals 19)
Step-by-step explanation:
Use PEMDAS (Solve in parentheses first, then exponents, multiplication, division, addition, and subtraction in that order) for the correct order of operations
Using the z-distribution, it is found that since the test statistic is greater than the critical value for the right-tailed test, this result shows that Zwerg can correctly follow this type of direction by an experimenter more than 50% of the time.
<h3>What are the hypothesis?</h3>
- At the null hypothesis, it is tested if Zwerg cannot correctly follow this type of direction by an experimenter more than 50% of the time, that is:

- At the alternative hypothesis, it is tested if Zwerg can correctly follow this type of direction by an experimenter more than 50% of the time, that is:

<h3>Test statistic</h3>
The <em>test statistic</em> is given by:

In which:
is the sample proportion.
- p is the proportion tested at the null hypothesis.
For this problem, the parameters are:

The value of the <em>test statistic</em> is:



Considering a <u>right-tailed test</u>, as we are testing if the proportion is greater than a value, with a <u>significance level of 0.05</u>, the critical value for the z-distribution is
.
Since the test statistic is greater than the critical value for the right-tailed test, this result shows that Zwerg can correctly follow this type of direction by an experimenter more than 50% of the time.
To learn more about the z-distribution, you can take a look at brainly.com/question/16313918