Answer:
7. 56
8. 117
Step-by-step explanation:
7.
Add the lengths of the sides. Each square on the grid has side 2 units.
9 + 4 + 4 + 8 + 11 + 3 + 2 + 15 = 56
8.
Find the lengths of the bases and the height of the trapezoid. Each square on the grid is 2 units.
Area of trapezoid = (1/2)(b1 + b2)h
area = (1/2)(15 + 11)(9) = 117
Answer:
Step-by-step explanation:
To find the value of x in the equation 16 + 2x - 6 = H, we need to isolate the variable x on one side of the equation. Let's go step-by-step:
1. Start by combining like terms on the left side of the equation:
16 + 2x - 6 = H
Simplify: 16 - 6 + 2x = H
Combine like terms: 10 + 2x = H
2. Next, we want to isolate the term with x. In this case, we want to get rid of the constant term 10. To do this, we'll subtract 10 from both sides of the equation:
10 + 2x - 10 = H - 10
Simplify: 2x = H - 10
3. Finally, to solve for x, we divide both sides of the equation by the coefficient of x, which is 2:
(2x) / 2 = (H - 10) / 2
Simplify: x = (H - 10) / 2
So, the value of x is (H - 10) divided by 2.
a= 6 2/3, b=7
Answer:
29/3
Step-by-step explanation:
A^2= 400/9
B^2= 49
C^2= 841/9
C= sqr(c^2) = 29/3 or 9 2/3
91.
Answer:
873
Step-by-step explanation:
so the equation is: 5x+1
sum is:
we have 6( 5×1+1) to 91 (5×18+1)
so we have 18 terms
then:
Your answer
26 more than twice the
Answer:
23+10r= 5+r
Step-by-step explanation:
let r be the number
Answer:
Step 1: The null and alternative hypothesis for the one way analysis of variance is,
H₀ : There is no difference in the means of each area.
H₁ : At least one mean is different.
The objective of this question is to test whether the income of the three areas are significantly different.
Step 2: The problem states to use 0.05 significance level.
Step 3: The test statistic follows the F-distribution.
Step 4: Decision rule is based on the critical value.
Numerator degrees of freedom is,
K - 1 = 3 - 1
= 2
Denominator degrees of freedom is 2.
n - k = 12 - 3
= 9
Using the F-distribution table for ∝=0.05 with numerator and denominator degrees freedom, the critical value is 4.26. The decision rule is to reject H₀ if the computed value of F exceeds 4.26.
Step 5: Calculations.
Using Excel follow the steps mentioned below.
1. Import or type the data into spreadsheet.
2. Data--------> Data Analysis----------> Anova: Single Factor, click OK.
3. Select Input Range, make a tick mark on Labels in the first row, enter 0.05 for alfa.
4. Click OK.
The obtained output for the one-way ANOVA is,
[ find the figure in attachment]
From the obtained output, the computed test statistic value, F = 14.18 , which is greater than the critical value of 4.26. So, reject H₀
Step 6: Interpretation. The average income of each area is different. It can be concluded that the average income is significantly different .
To determine if there is a difference in the mean income between three proposed mall locations, perform an analysis of variance (ANOVA) test.
To determine if there is a difference in the mean income between the three proposed mall locations, we can perform an analysis of variance (ANOVA) test. This test assesses whether there is a statistically significant difference among the means of multiple groups.
First, calculate the sample mean income for each location. Then, compute the sum of squares within groups (SSW) and the sum of squares between groups (SSB). Finally, use these values to calculate the F-statistic and compare it to the critical value from the F-distribution table at the 0.05 significance level to make a conclusion.
If the computed F-statistic is greater than the critical value, we reject the null hypothesis and conclude that there is a difference in the mean income.
#SPJ3
Which event has a theoretical probability of exactly Three-fourths? Select three options.
not picking a square
picking a square
picking a triangle
picking a shape that has only straight edges
not picking a circle
Theoretical probability formula: Favorable Outcomes/All Possible Outcomes
So let's find the theoretical probability for each option.
"Not picking a square"
So, there are 2 squares out of the 8 total shapes (2 circles + 4 triangles + 2 squares) So do 8-2=6... This is subtracting the number of squares out. So we are now left with 6/8.. Reduce the fraction: GCF is 2, so 6/8 simplifies to 3/4. So, "Not picking a square" is an option!
"Picking a square"
Okay so there are 2 squares (favorable outcome) out of 8 shapes in total (all possible outcomes) so the fraction is 2/8. Now simplify: GCF = 2, so 2/8 = 1/4. "Picking a square" is NOT an option
"Picking a triangle"
There are 4 triangles out of 8 shapes, so the fraction is 4/8 which = 1/2. The theoretical probability of picking a triangle is 1/2 and thus NOT an option.
"Picking a shape that has only straight edges"
So this basically means every shape that's not a circle. So, there are 4 triangles + 2 squares = 6 total shapes with straight edges. So there are 6 shapes with straight edges out of 8 total shapes: 6/8 reduces to 3/4. "Picking a shape that has only straight edges" IS an option! :D
LASTLY!
"Not picking a circle"
There are only 2 circles out of 8 total shapes, so 8-2=6 so the fraction is 6/8. This reduces to 3/4. "Not picking a circle" Is an option!
CORRECT ANSWERS:
Not picking a square
Picking a shape that has only straight edges
Not picking a circle
Have a good day!
Answer:
A, D, and E
Step-by-step explanation:
got it right on edge