The height of tree is 8 feet
<h3><u>Solution:</u></h3>
Given, Micah places a mirror on the ground 24 feet from the base of a tree
At that point, Micah's eyes are 6 feet above the ground
And he is 9 feet from the image in the mirror.
To find : height of tree = ?
Let "n" be the height of tree
From the question, we can see there is a directly proportional relationship between heights and distances.
Proportional relationships are relationships between two variables where their ratios are equivalent.
Hence, the height of the tree is 8 feet
Answer:
4 inch long and 3 inch wide
Step-by-step explanation:
so since the scale factor is 1 inch = 4 feet and the actual length is 16 feet by 12 feet all you got to do is divide both lengths by 4 and you get 4 and 3 and you convert the unit to inches so it would be 4 inches and 3 inches. now all you got to do is draw a 4 inch long by 3 inch wide rectangle and your good
Answer:
Step-by-step explanation:
Hello!
The objective is to determine if there is any difference between using iPads vs textbooks in teaching algebra.
Two middle school classes were selected, to eliminate any other source of variation, the same teacher taught both classes, and the materials were provided by the same author and publisher. After a month 10 students of each class were randomly selected and tested, their test scores were recorded:
X₁: test scores of students that used iPads to study.
n₁= 10
X[bar]₁= 86.8
S₁= 8.97
X₂: test scores of students that used regular textbooks to study.
n₂= 10
X[bar]₂= 79.5
S₂= 10.8
a.
H₀: μ₁=μ₂
H₁: μ₁≠μ₂
α:0.05
Assuming that both variables are normally distributed and the population variances are equal, the statistic to use is a Student t for two independent samples with pooled sample variance:
![t_{H_0}= \frac{(X[bar]_1-X[bar]_2)-(Mu_1-Mu_2)}{Sa*\sqrt{\frac{1}{n_1} +\frac{1}{n_2} } }](https://tex.z-dn.net/?f=t_%7BH_0%7D%3D%20%5Cfrac%7B%28X%5Bbar%5D_1-X%5Bbar%5D_2%29-%28Mu_1-Mu_2%29%7D%7BSa%2A%5Csqrt%7B%5Cfrac%7B1%7D%7Bn_1%7D%20%2B%5Cfrac%7B1%7D%7Bn_2%7D%20%7D%20%7D)
Sa= 9.93
p-value: 0.118364
The p-value is greater than the significance level so the decision is to not reject the null hypothesis. This means that there is no significant evidence between the scores of the two groups.
b.
95% CI
(X[bar]-X[bar])±
*
(86.8-79.5)±2.101*(9.93
)
[-2.03; 16.63]
With a 95% confidence level, you'd expect that the interval [-2.03; 16.63] would contain the difference between the mean scores of the two classes.
c.
Considering that the null hypothesis wasn't rejected and that at the same level the confidence interval includes the zero, we can affirm that the format of the teaching materials, digital or regular textbooks, has no significant effect on the scores of the students.
I hope it helps!
Answer:
n = 7
a = 10 m
r = 10.3826 m
R = 11.5238 m
A = 363.391 m2
P = 70 m
x = 128.571 °
y = 51.4286 °
Answer:
well sorry I dont understand you
