Answers
Answers:
Problem 5) RS = 7Problem 6) x = 23.5=======================================
Explanations:
Problem 5) The equation to solve is (x+35)/2 = 21. This is because we average the two parallel bases x and 35, to get the length of the midsegment 21. You should end up with x = 7.Problem 6) Angles A and B are supplementary because of the same side interior angle theorem. It might help to extend out the parallel lines BC and AD. Also, extend out the transversal AB. Because the angles add to 180, the equation to solve is (5x-14)+(3x+6) = 180. It solves to x = 47/2 = 23.5Related Questions
Write the trigonometric ratio for cos X as a fraction and as a decimal rounded to the nearest hundredth
Answers
Answer: The correct choice is letter C.
Step-by-step explanation:
Cosine = adjacent/hypotenuse
In this triangle, you are looking for angle degree of cos X.
When finding an angle degree, you must use the inverse of whatever trig ratio you are using. In this case, you would use [tex]cos^{-1}[/tex].
The adjacent side from x is 12 and the hypotenuse is 15.
So you form your trig ratio which is your answer.
[tex]cos^{-1}[/tex] [tex]\frac{12}{15}[/tex] = 0.80
Babies born after 40 weeks gestation have a mean length of 52.2 centimeters (about 20.6 inches). Babies born one month early have a mean length of 47.4 cm. Assume both standard deviations are 2.5 cm. and the distributions are unimodal and symmetric. a. Find the standardized score (z-score), relative to all U.S. births, for a baby with a birth length of 45 cm. b. Find the standardized score of a birth length of 45 cm. for babies born one month early, using 47.4 as the mean. c. For which group is a birth length of 45 cm more common
Answers
Answer:
a) [tex]Z = -2.88[/tex]
b) [tex]Z = -0.96[/tex]
c) 40 weeks gestation babies
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
a. Find the standardized score (z-score), relative to all U.S. births, for a baby with a birth length of 45 cm.
Here, we use [tex]\mu = 52.2, \sigma = 2.5[/tex]. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{45 - 52.2}{2.5}[/tex]
[tex]Z = -2.88[/tex]
b. Find the standardized score of a birth length of 45 cm. for babies born one month early, using 47.4 as the mean.
Here, we use [tex]\mu = 47.4, \sigma = 2.5[/tex]. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{45 - 47.4}{2.5}[/tex]
[tex]Z = -0.96[/tex]
c. For which group is a birth length of 45 cm more common?
For each group, the probability is 1 subtracted by the pvalue of Z.
Z = -2.88 has a lower pvalue than Z = -0.96, so for Z = -2.88 the probability 1 - pvalue of Z will be greater. This means that for 40 weeks gestation babies a birth length of 45 cm is more common.
Elena and Diego each wrote an equation to represent the diagram. Elena wrote 35+w+41=180. Diego wrote 35+w=180.which equation do you agree with? You can assume that angles that look like right angles and indeed right angles
Answers
Answer:
Step-by-step explanation:
i need to see the diagram, to help you
What is the mean?
-4 -3 0 -4 -3 0
Answers
Answer:
−4−(3)(0)−4−(3)(0)
=−8
Answer:
-2 and 1/3
Step-by-step explanation:
-4+-3+0+-4+-3+0 = -14
6 numbers
-14/6 = -2 1/3
CAN SOMEONE PLEASE HELP IM TIMED!! also i need to show my work!
Answers
Answer:
im assuming that we are solving for g. i got 8x^2-10x-3 over x
Step-by-step explanation:
1. gx^2=8x2−10x−3
then u divide both sides by x which gets u gx over x = 8x^2-10x-3 over x
i hope that makes sense and helps!
Can someone please help me with 5 and 6 like rnnn please???
Answers
Answer:
6 is 140°
step by step
same line meant that the angle abc equals 180°
so DBC =180-40=140° .
i will give Brainiest if you are right
Answers
Answer:
Option D is the correct answer
Hello there!!
The answer would be D. The symbol you see, [tex]\geq[/tex], means 'greater than or equal to'. This correctly fits the wording - Margo must sell AT LEAST 38 tubs. So the lowest number she can sell is 38. And that means the answer is D.
I hope this helps!
A rectangle is 2 feet longer than it is wide. If the area is 8 square feet, find its perimeter.
.....Ft
Answers
Answer:
12 feet
Step-by-step explanation:
w = width
w+2 = length
w(w+2) = 8
w² + 2w - 8 = 0
(w+4)(w-2) = 0
w = -4 exclude because a length cannot be negative
w = 2
length = 2+2 or 4
P = 2(2)+2(4)
P = 4+8 or 12
ILL GIVE BRAINLEST :)
Answers
Answer:
The correct answer is:
A, B, D,
Step-by-step explanation:
Solve the equation f(x)=g(x) by graphing. f(x)=2xg(x)=32x+1 How many solutions does the equation f(x)=g(x) have?
Answers
Answer:X=(-2,3) or X= (0,0)
You have a collection of 30 coins, all of which are dimes and quarters. The total of your collection is $5.10 how many of each kind of coin do you have
Answers
I think ?
Which choices describe a Subscript n Baseline = 4 (0.9) Superscript n? Check all that apply.
S1 = 4
S2 = 6.84
S3 = 10.156
The sequence diverges.
Answers
Answer:
b and d
Step-by-step explanation:
edge 2021
If the first term (a) is 4 and the common ratio (r) is 0.9, then the sequence diverges. Then the correct option is D.
What is a geometric sequence?Suppose the initial term of a geometric sequence is a
and the term by which we multiply the previous term to get the next term is r
Then the sequence would look like
a, ar, ar², ar³, ...
The sequence is given below.
[tex]\rm a_n = 4 (0.9)^n[/tex]
Then the sum of the sequence will be given as
The first term (a) is 4. And the common ratio (r) is 0.9.
Then we get
[tex]\rm S_n = \dfrac{a (1 - r ^n)}{ (1 - r)}\\\\\rm S_n = \dfrac{4 (1 - 0.9 ^n)}{ (1 - 0.9)}\\\\\rm S_n = \dfrac{4 (1 - 0.9 ^n)}{0.1}\\\\\rm S_n = 40 (1 - 0.9^n)[/tex]
For n = 1, we have
S₁ = 40 (1 - 0.9)
S₁ = 40 x 0.1
S₁ = 4
For n = 2, we have
S₂ = 40 (1 - 0.9²)
S₂ = 40 x 0.19
S₂ = 7.6
For n = 3, we have
S₃ = 40 (1 - 0.9³)
S₃ = 40 x 0.271
S₃ = 10.84
If the common ratio is less than one then the sequence will diverge.
Learn more about geometric sequence here:
https://brainly.com/question/2735005
#SPJ2
A small orchard is made up of 12 trees that all together produce 72 apples.
Which of the following is the best estimate of how many apples each tree
produces?
3 apples per tree
15 apples per tree
12 apples per tree
7 apples per tree
17 apples per tree
Answers
Step-by-step explanation:
12 trees produce 72 apples
1 tree pruduces 72/12 apples
or 6 apples per tree
estimated => 7 apples per tree
A small orchard is made up of 12 trees that all together produce 72 apples. Which of the following is the best estimate of how many apples each tree produces?
3 apples per tree
15 apples per tree
12 apples per tree
7 apples per tree
17 apples per tree
____________________Solution :-Given Information :-Number of trees ➢ 12Apples produced by all 12 trees ➢ 72To Find :-Which of the following is the best estimate of how many apples each tree produces?
3 apples per tree
15 apples per tree
12 apples per tree
7 apples per tree
17 apples per tree
Calculation :-Here, We will simply divide the number of apples produced by 12 trees by the number of trees and then we will round it off to it's nearest 'ones' place.
⇒ Total number of apples each tree produces = [tex] \sf \frac{total \: number \: of \: apples}{total \: number \: of \: trees} [/tex]
Substituting the values given, We get,
⇒ Total number of apples each tree produce = [tex] \sf \frac{72}{12} [/tex]
⇒ Total number of apples each tree produces = 6
Now, when we round it off to it's nearest 'ones' place, We get,
⇒ Round off 6 = 7
Since, We can see that, 4th option from the list of option given, is 7. Therefore 7 is the answer.
____________________Final Answer :-4th option :- 7 apples per tree is the correct answer.____________________What is the approximate volume of a can that is 5 inches tall and has a 2.5 inch diameter?
F. 19.6 cu in.
G. 98.1 cu in.
H. 24.5 cu in.
J. 39.3 cu in.
Answers
the office supplies account started the year with a 4000 debit balance. During the year, the company purchased supplies for 13,400 which added to the office supplies account. the inventory of supplies available at the end of the year total2334. what is beginning balance
Answers
Answer:
Debit Office Supplies Expense: 15,066, Credit Office Supplies: 15,066
Step-by-step explanation:
Office Supplies Account started with a $4000 debit balance.
Apply the adjustment of the end of the year total. $4000-$2334 = $1666.
The company purchased supplies for $13,400
$13,400 + $1666 = $15,066
What is a hand drawn picture or design of a 3D object
Answers
Answer:
hello
Step-by-step explanation:
i think it is modelling
hope it helps
have a nice day
I am pretty sure it's modeling!
PLEASE HELP ME I AM FAILING. I WILL GIVE BRAINLIEST. PLEASE!!!!!! I NEED THE ANSWERS!!!
Answers
I think that’s it hope that helps
Find the quotient of 3/5 and 2/3
Answers
Answer:
The quotient of 3/5 and 2/3 is 9/10 in fraction and 0.9 in decimal.
Answer:
9/10
Step-by-step explanation:
(3/5)/(2/3)=(3/5)(3/2)=9/10
Find the number of sides of a regular polygon if the sum of the interior angles of the
polygon is 7020
Answers
Answer:
n = 6
Step-by-step explanation:
Given the following data;
Sum of interior angles, S = 720°
Mathematically, the sum of the interior angles in a regular polygon is given by the formula;
S = 180(n - 2)
Where;
n is the number of sides.
S is the sim of the interior angles
720 = 180(n - 2)
720 = 180n - 360
180n = 720 + 360
180n = 1080
n = 6
Jonah wants to construct a confidence interval using 90% confidence to estimate what proportion of silicon wafers at his factory is defective. He wants the margin of error to be no more than 3%. A previous study suggests that about 6% of these wafers are defective. If we assume p=0.06, what is the smallest sample size required to obtain the desired margin of error? 234 416 170 936
Answers
Answer:
170
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is of:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
Assume:
[tex]\pi = 0.06[/tex]
90% confidence level
So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].
What is the smallest sample size required to obtain the desired margin of error?
This is n for which M = 0.03. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.03 = 1.645\sqrt{\frac{0.06*0.94}{n}}[/tex]
[tex]0.03\sqrt{n} = 1.645\sqrt{0.06*0.94}[/tex]
[tex]\sqrt{n} = \frac{1.645\sqrt{0.06*0.94}}{0.03}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.645\sqrt{0.06*0.94}}{0.03})^2[/tex]
[tex]n = 169.6[/tex]
Rounding up, 170.
Johanna graphed the number of calls she made during one day. How many calls were made before 6 pm?
Cell Phone Calls
12
10
00
Number of calls
6
4
2
0
10 am.- 12 p.m.- 2 p.m. - 4 p.m.- 6 p.m. - 8 p.m.-
11:59 am 1:59 p.m. 3:59 p.m. 5:59 p.m. 7:59 p.m. 9:59 pm
Time of Day
Answers
Answer:
im pretty sure its 4! if not 6!
Find the measure of x.
Answers
Karen makes $5 per hour baby-sitting and $12 per hour giving music lessons. One weekend, she worked a total of 18 hours and made $139. How many hours did she spend baby-sitting?
F)11
G)9
H)6
J)7
Answers
Answer:
F) 11
Step-by-step explanation:
We know that she worked 18 hours, and earned $139.
Let's just say that she spent x hours baby-sitting.
If she makes $5 per hour, the total amount of money she earned from baby-sitting would be 5x.
If she spent x hours baby-sitting, that would mean that she spent 18-x hours giving music lessons.
So, the total amount of money she earned from music lessons would be 12(18-x).
Now we can plug this into an equation.
5x + 12(18-x) = 139.
5x + 216 - 12x = 139.
5x - 12x = -77
-7x = -77
x = 11.
This means that she spent 11 hours baby-sitting.
Hope this helps!
Is assets debit or credit
Answers
Answer:
Debit
Step-by-step explanation:
Assets and expenses have natural debit balances. This means positive values for assets and expenses are debited and negative balances are credited. For example, upon the receipt of $1,000 cash, a journal entry would include a debit of $1,000 to the cash account in the balance sheet, because cash is increasing.
Answer:
debit
Step-by-step explanation:
The sum of two rational numbers is −3/5 . If one of them is −9/20, find the other.
Answers
Answer:
-3/20
Step-by-step explanation:
Let other number = x
∴ -9/20 + x = -3/5
∴ x = -3/5 + 9/20
∴ x = -3/20
Hope this helps :) !!!!
Answer:
[tex]-\frac{3}{20}[/tex]
Step-by-step explanation:
GIVEN :-
One of the two rational numbers = [tex]-\frac{9}{20}[/tex]TO FIND :-
Sum of two rational numbers = [tex]-\frac{3}{5}[/tex]SOLUTION :-
Let the another rational number be 'x'.
According to the question , the equation formed will look like this :-
[tex]x + (-\frac{9}{20} ) = -\frac{3}{5}[/tex]
[tex]=> x - \frac{9}{20} = -\frac{3}{5}[/tex]
Now solve the equation.
Add [tex]\frac{9}{20}[/tex] to both the sides of equation in order to isolate 'x'.[tex]=> x - \frac{9}{20} + \frac{9}{20} = -\frac{3}{5} + \frac{9}{20}[/tex]
[tex]=> x = \frac{9}{20} - \frac{3}{5} = \frac{9 - (3 \times 4)}{20} = \frac{9 - 12}{20} = \frac{-3}{20}[/tex]
Alexa and Siri are each working on an assignment that is 60 questions long. Alexa completed 20% of the assignment, while Siri completed 30% of the problems. How many more questions did Siri complete?
Answers
the correct answer is 25
Answer:
The answer: 18-12=6
Step-by-step explanation:
Step 1:
Alex:
Part=Whole*Percentage
So just plug in the numbers
Part=60*0.20=12
Step 2:
Siri:
Part=Whole*Percentage
Part=60*0.30=18
Step 3:
18-12=6
can I get some help?
Answers
Answer:
60x80 i think 4800
Step-by-step explanation:
You’re working at a theater where you are evaluating attendance at several events. From the first event to the second event, attendance dropped from 250 to 230. Find the percent decrease to the nearest percent.
Answers
Brainiest pls
Answer:
the answer is C
Step-by-step explanation:
the percent decrease is by 8 percent
Help please yalllllll
Answers
Answer:
27.3 mi2, the first option
Step-by-step explanation:
Area of a triangle is [tex]\frac{1}{2}[/tex] x base x height
Length of the base is 9.1mi and height is 6mi.
So, the Area would be:-
[tex]\frac{1}{2}[/tex] x 9.1 x 6
[tex]\frac{1}{2}[/tex] x 54.6
[tex]\frac{54.6}{2}[/tex]
= 27.3 mi2
Use long division to determine the decimal equivalent of 5/9
A 0.3
B 04
C 0.5
D 0.6
Answers
Answer:
C) 0.55...
Step-by-step explanation: