1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Anuta_ua [19.1K]
3 years ago
13

If the hypotenuse of a triangle is 13 and one of the legs is 4, what is the range

Mathematics
1 answer:
dlinn [17]3 years ago
3 0
C - b = a
(13*13) - (4*4) = a
169 - 16 = 153(answer)
You might be interested in
Please answer this question and a are by step explanation
Pavlova-9 [17]

Answer:

3

5

Step-by-step explanation:

the answer is 3 and 5 down up

4 0
3 years ago
Toilet Training You are a great friend and are taking your friend's child to the playground to play with two of his friends: Cha
Brilliant_brown [7]

Answer:

Step-by-step explanation:

Hello!

According to a study regarding the average age of female and male kids to complete toilet training is:

Females:

Average age 32.5 months

The standard deviation of 6.7 months

n= 126

Males:

Average age 35.0 months

The standard deviation of 10.1 months

n= 141

The parameter of study is the difference between the age of females are successfully toilet trained and the average age that males are successfully toilet trained. μf - μm (f= female and m= male)

a.

Assuming that both variables have a normal distribution to choose whether you'll use an unpooled or pooled-t to calculate the confidence interval you have to conduct an F-test for variance homogeneity.

If the variances are equal, then you can usee the pooled-t, but if the variances are different, you have to uses Wlche's approach:

H₀: δ²f = δ²m

H₁: δ²f ≠ δ²m

Since both items b. and c. ask for a 95% CI I'll use the complementary significance level for this test:

α: 0.05

F= \frac{S^2_f}{S^2_m} * \frac{xSigma^2_f}{Sigma^2_m} ~~~F_{(n_f-1); (n_m-1)}

F= \frac{(6.7^2)}{(10.1)^2} *1= 0.44

Critical values:

F_{125;140;0.025}= 0.71\\F_{125;140;0.975}= 1.41

The calculated F value is less than the lower critical value, 0.77, so the decision is to reject the null hypothesis. In other words, there is no significant evidence to conclude the population variances of the age kids are toilet trained to be equal. You should use Welch's approach to construct the Confidence Intervals.

Df_w= \frac{(\frac{S^2_f}{n_f} + \frac{S^2_m}{n_m} )^2}{\frac{(\frac{S^2_f}{n_f} )^2}{n_f-1} +\frac{(\frac{S^2_m}{n_m} )^2}{n_m-1} }

Df_w= \frac{(\frac{6.7^2}{126} + \frac{10.1^2_m}{141} )^2}{\frac{(\frac{126^2}{126} )^2}{126-1} +\frac{(\frac{10.1^2}{141} )^2}{141-1} } = 254.32

b.

The given interval is:

[0.3627; 4.6073]

Using Welch's approach, the formula for the CI is:

(X[bar]f- X[bar]m) ± t_{Df_w;1-\alpha /2} * \sqrt{\frac{S^2_f}{n_f} +\frac{S^2_m}{n_m} }

or

(X[bar]m- X[bar]f) ± t_{Df_w;1-\alpha /2} * \sqrt{\frac{S^2_f}{n_f} +\frac{S^2_m}{n_m} }

As you can see either way you calculate the interval, it is centered in the difference between the two sample means, so you can clear the value of that difference by:

(Upper bond - Lower bond)/2= (4.6073-0.3627)/2= 2.1223

The average age for females is 32.5 months and for males, it is 35 months.

Since the difference between the sample means is positive, we can say that the boys were considered "group 1" and the girls were considered "group 2"

You have a95% confidence that the parameter of interest is included in the given confidence interval.

c.

None of the statements is correct, the interval gives you information about the difference between the average age the kids are toilet trained, that is between the expected ages for the entire population of male and female babies.

This represents a guideline but is not necessarily true to all individuals of the population since some male babies can be toilet trained before that is expected as some female babies can be toiled trained after the average value.

I hope it helps!

6 0
3 years ago
What is the simplest form of 1<br> 3 (45 −<br> 18<br> 7 )?
vovangra [49]

Answer:

15x - 6/7    

Step-by-step explanation:

4 0
3 years ago
Find the value of n <br><br><br><br><br>Plz help me fast and send the answer​
Gennadij [26K]

Answer:

n is 113

Step-by-step explanation:

Is an isosceles triangle so the base angles are equal

therefor angles sum up to 180

46 + x + x = 180

46 + 2x = 180

2x = 180 - 46

2x = 134

x = 67

now to find n

the sum of angles on a straight line equals 180

n + x = 180

n + 67 = 180

n = 180 - 67

n= 113

7 0
2 years ago
Read 2 more answers
How many different rectangles are there that has a perimeter of 100 centimeters
ololo11 [35]
The factor pairs of 100 are 1 and 100, 2 and 50, 4 and 25, 5 and 20, and 10 and 10. As such, you can only have 5 rectangles with different side lengths assuming all side lengths are integers.
3 0
3 years ago
Other questions:
  • Which expression is not a polynomial? O A. 4- 3x + 5x6 OB. 8x10 + 2x5 O c. 14x7 O D.x2-7-3​
    9·1 answer
  • What is the value of d + e + f when d = 20, e = –4 and f = –2?
    10·1 answer
  • Can a right triangle be formed using these squares
    13·2 answers
  • What is the answer to all three of these?
    5·1 answer
  • What is the simplified form of the expression 3[14÷(4^2-3^]-5?
    5·2 answers
  • Evaluate the expression. -12 divided by 4 - 6
    9·2 answers
  • Help, please! ASAP!!​
    11·1 answer
  • A cookie recipe calls for 3/4 cup of sugar.if Mrs mcComas has four and a half cups of sugar left, how many batches of cookie can
    11·1 answer
  • For problem 5, use the ordered pairs to answer the following question. MUST SHOW YOUR WORK FOR FINDING SLOPE.
    15·1 answer
  • Find the value of x ​
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!