Answer:
B. m<3 = m<6 = 75degreesStep-by-step explanation:
First you must understand that in geometry, the alternate interior angles are equal
Hence if ∠3 and ∠6 are alternate interior angles, then <3 = <6
Given that m<3 = 75 degrees
m<6 will also be 75 degrees since both angles are equal
The distance that an object falls when it is dropped is directly proportional to the
square of the amount of time since it was dropped. An object falls 288 feet in 3
seconds. Find the distance the object falls in 4 seconds,
Answer:
The object falls 384 feet in 4 seconds.
Step-by-step explanation:
This question can be solved by proportions, as the measures are directly proportional, using a rule of three.
An object falls 288 feet in 3 seconds. Find the distance the object falls in 4 seconds.
288 feet - 3 seconds
x feet - 4 seconds
Applying cross multiplication
[tex]3x = 288*4[/tex]
[tex]x = \frac{288*4}{3}[/tex]
[tex]x = 384[/tex]
The object falls 384 feet in 4 seconds.
Aiden calculated that their family used 20% of their monthly income for food, and 15% of the money spent on food was spent on snacks. If they spent $45 on snacks, what is their monthly income?
Answer:
There monthly income is 300$
What is the the length of each chord ?
Answer:
3
Step-by-step explanation:
Jada is standing 10 feet from the base of a tree and spot a nest sitting on a branch.the angle of elevation from the ground where she standing to the nest 55.find the height of the nest
Answer:
Hence, the height of the tree is 14.3 feet.
7 over 6 divided by 4
Answer:
0.29
Step-by-step explanation:
I used a calculator
How can you use 1300 divided by 13 to help you find 1,287 divided 13
Answer:
Step-by-step explanation:
This question is about the benefits of estimation.
1300/13 is easy and results in 100.
1287/13 can be approximated by 1300/13: 1287/13 ≈ 100.
Actually, 1287 = 1300 - 13 = 13(99); just subtract 1 from 100.
So: 1287/13 = 1300 - 13 = 1287. A nice bit of mental math!
please help me with this asap
Answer:
76
Step-by-step explanation:
I rewrote the question so I wouldn't have to keep going back to the picture.
A poll asked 1000 adults who own smartphones where they put their smartphone while sleeping. The following two-way table of relative frequencies shows the data collected on age and smartphone habits. Of the adults polled, 200 were 65 or older.
How many of the adults polled that were 65 or older sleep with their smartphone within reach?
---------------------------------------------------------------------------------
I bet if I called this a two- way table of "percentages, written as decimals", it would make more sense.
Total number of adults 65 and older = 200. The 0.38 of them that sleep with their phone in reach = 38% of them. Multiply 200 x 0.38 = 76
To check the math, 200 x 0.62 = 124, and 124 + 76 = 200.
As always, please let me know if you have questions. I've answered each of your open questions as of now (11am CDT, USA)
Plzzzz guys help :( Which of the following is the mid point of the line segment with endpoints -3 and 2 (a)5/2 (b) 1 (c) -1/2 (d) -1 (e)-5/2
Answer:
C -1/2
Step-by-step explanation:
midpoint = sum of end points divide by 2.
here, midpoint = (-3+2)/2
=(-1/2)
Answer:
- 1 / 2
Step-by-step explanation:
→ Add the 2 numbers together
-3 + 2 = -1
→ Divide answer by 2
- 1 ÷ 2 = - 1 / 2 or - 0.5
A child can choose one stuffed animal. She can choose from a dog or a bear. Each comes in brown, gray or white. You can also choose green eyes or blue eyes. How many possible stuffed animal choices does the child have?
Step-by-step explanation:
[tex]2 \times 3 = 6 \\ 6 \times 2 = 12[/tex]
Select the value of x that makes the equation “16 = -4(x - 1) + 4” true?
• -2
• 2
• -4
• 4
Answer:
[tex] - 4(x - 1) = 16 \\ = > - 4x + 4 - 16 = 0 \\ = > - 4x - 12 = 0 \\ = > - 4x = 12 \\ = > x = - 3[/tex]
What is the square root of pie?
Answer:
The square root of Pi is approximately 1.77245.
Step-by-step explanation:
Answer:
About 1.77245.
A recent study of 750 Internet users in Europe found that 35% of Internet users were women. What is the 95% confidence interval of the true proportion of women in Europe we use the Internet
Answer:
The 95% confidence interval for the true proportion of internet users who are women in Europe is (0.3159, 0.3841).
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].
A recent study of 750 Internet users in Europe found that 35% of Internet users were women.
This means that [tex]n = 750, \pi = 0.35[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.35 - 1.96\sqrt{\frac{0.35*0.65}{750}} = 0.3159[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.35 + 1.96\sqrt{\frac{0.35*0.65}{750}} = 0.3841[/tex]
The 95% confidence interval for the true proportion of internet users who are women in Europe is (0.3159, 0.3841).
the box and whisker plot below shows the volunteer service hours performed by students at indian trail middle school last summer
Answer:
circuit compare
with the current in a series circuit, if both circuits have the same
type of cell and the same number of identical flashlight bulbs?
circuit compare
with the current in a series circuit, if both circuits have the same
type of cell and the same number of identical flashlight bulbs?
circuit compare
with the current in a series circuit, if both circuits have the same
type of cell and the same number of identical flashlight bulbs?
circuit compare
with the current in a series circuit, if both circuits have the same
type of cell and the same number of identical flashlight bulbs?
circuit compare
with the current in a series circuit, if both circuits have the same
type of cell and the same number of identical flashlight bulbs?
circuit compare
with the current in a series circuit, if both circuits have the same
type of cell and the same number of identical flashlight bulbs?
circuit compare
with the current in a series circuit, if both circuits have the same
type of cell and the same number of identical flashlight bulbs?
What is the area of this figure?
Select from the drop-down menu to correctly complete the statement.
The area of the figure is
What is the area of this figure?
Select from the drop-down menu to correctly complete the statement.
The area of the figure is Choose...128136153258 in².
What is the area of this figure?
Drag and drop the appropriate number into the box.
A =
What is the area of this figure?
Drag and drop the appropriate number into the box.
What is the area of this figure?
Drag and drop the appropriate number into the box.
What is the area of this figure?
Select from the drop-down menu to correctly complete the statement.
The area of the figure is
What is the area of this figure?
Select from the drop-down menu to correctly complete the statement.
The area of the figure is
What is the area of this figure?
Select from the drop-down menu to correctly complete the statement.
The area of the figure is Choose...128136153258 in².
What is the area of this figure?
Select from the drop-down menu to correctly complete the statement.
The area of the figure is Choose...128136153258 in².
What is the area of this figure?
Drag and drop the appropriate number into the box.
A =
What is the area of this figure?
Drag and drop the appropriate number into the box.
What is the area of this figure?
Drag and drop the appropriate number into the box.
What is the area of this figure?
Select from the drop-down menu to correctly complete the statement.
The area of the figure is
What is the area of this figure?
Select from the drop-down menu to correctly complete the statement.
The area of the figure is Choose...128136153258 in².
What is the area of this figure?
Drag and drop the appropriate number into the box.
The mean breaking strength of a ceramic insulator must be at least 10 psi. The process by which this insulator is manufactured must show equivalence to this standard. If the process can manufacture insulators with a mean breaking strength of at least 9.5 psi, it will be considered equivalent to the standard. A random sample of 50 insulators is available, and the sample mean and standard deviation of breaking strength are 9.32 psi and 0.21 psi, respectively. a. State the appropriate hypotheses that must be tested to demonstrate equivalence.
Answer:
H0: u ≥ 9.5
Ha: u < 9.5
Step-by-step explanation:
The null hypothesis and the alternate hypothesis are reverse of each other.
The claim is either set as the null or alternate hypothesis
The null hypothesis is : H0: u ≥ 9.5 the mean breaking strength of a ceramic insulator is at least 9.5 which is considered equivalent to the standard.
The alternate hypothesis is: Ha: u < 9.5 the mean breaking strength of a ceramic insulator is less than 9.5 which is not considered equivalent to the standard.
Find the (a) mean, (b) variance, and (c) standard deviation of the binomial distribution for the given random variable, and (d) interpret the results. Sixty-three percent of U.S. mothers with school-age children choose fast food as a dining option for their families one to three times a week. You randomly select five U.S. mothers with school-age children and ask whether they choose fast food as a dining option for their families one to three times a week. The random variable represents the number of U.S. mothers who choose fast food as a dining option for their families one to three times a week.
Answer:
a) The mean is 3.15.
b) The variance is 1.1655.
c) The standard deviation is 1.08.
d) The expected number of families in the sample who choose fast food as a dining option for their families one to three times a week is 3.15. The variance of 1.1655 and the standard deviation of 1.08 are the averages from which the sample results should diverge from the mean.
Step-by-step explanation:
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The variance of the binomial distribution is:
[tex]V(X) = np(1-p)[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
Sixty-three percent of U.S. mothers with school-age children choose fast food as a dining option for their families one to three times a week.
This means that [tex]p = 0.63[/tex]
You randomly select five U.S. mothers with school-age children and ask whether they choose fast food as a dining option for their families one to three times a week.
This means that [tex]n = 5[/tex]
(a) mean
[tex]E(X) = np = 5*0.63 = 3.15[/tex]
The mean is 3.15.
(b) variance
[tex]V(X) = np(1-p) = 5*0.63*0.37 = 1.1655[/tex]
The variance is 1.1655.
(c) standard deviation
[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{5*0.63*0.37} = 1.08[/tex]
The standard deviation is 1.08.
(d) interpret the results.
The expected number of families in the sample who choose fast food as a dining option for their families one to three times a week is 3.15. The variance of 1.1655 and the standard deviation of 1.08 are the averages from which the sample results should diverge from the mean.
find the volume of the right triangular prism
Answer:
7161 km³
Step-by-step explanation:
28²+b²=32.5²
784+b²=1056.25
b²=1056.25-784
b²=272.25
b=√272.25
b=16.5
1/2x28x16.5x31=7161
i don’t need to show work but it would help :)
Answer:
d. (73.9 in^2)
Step-by-step explanation:
I suppose that 9.7 in is the diameter.
R=D/2=9.7/2=4.8in
A=π*(R^2)=3.14*(4.8)^2=73.9 in^2
find number of A intersection B? help me plz
Try this option:
1. to calculate the difference of the final sequence:
the difference between two terms of the sequence A is 4 (7-3=11-7=...=4) and the difference between two terms of the sequence B is 7 (9-2=16-9=...-7). It means, in the final sequence the difference should be 7*4=28;
2. to calculate the first term of the final sequence:
A={3;7;11;15;19;23;27;31;...;407} and B{2;9;16;23;30;...;709}. It means, the first term of the final sequence is 23.
3. to calculate the last term of the final sequence:
if 407<709, it means the last term is less than 407, then it is possible to make up the equation 23+28*n<407, where 23 - the 1st term of the final sequence, 28 - the difference of the final sequence, (n+1) - number of the last term of the final sequence and n∈Z.
n<(407-23)/28; n<13.71. If n∈Z, then n=13.
So, the last term of the final sequence is 23+28*13=387.
4. if the first term is 23, the last one is 387 and the difference of the final sequence is 28, then the final sequence is consists of 14 terms:
{23; 51; 79; 107; 135; 163; 191; 219; 247; 275; 303; 331; 359; 387}
-10a×4b+20a^2b+4ab-6ab
Step-by-step explanation:
-10a×4b+20a^2b-2ab
-40ab+20a^2b-2ab
-42ab+20a^2b Answer
I'm not sure...
A quart and a liter of the same kind of drink are on a shelf and are the same price. Which one should you pick if you are really thirsty?
quart
doesn't matter - they are the same amount
liter
There 25 pieces what is the probability of 1st pulling out a circle putting it back then pulling out a square
Answer:
3.6
Step-by-step explanation:
TIMED PLS HELP ME IM BEGGING
Answer:
4 cm
Step-by-step explanation:
Cylinder Volume formula:
V = πr²h
Given:
V = 240π
h = 15
Finding r:
V = πr²h
240π = πr²(15)
r² = 240π/15π
r² = 16
[tex]\sqrt{r^2} =\sqrt{16}[/tex]
r = 4
Answer:
4 cm
Step-by-step explanation:
TTr^2h = 240TTcm^3(the TT cancel out)r^2 x 15 = 240cm^3(divide both sides by 15)r^2 = 16(square root both sides)r = 4cm1. Select all the relationships that demonstrate a positive association between variables.
(Sketch a graph if needed in order to identify a positive relationship)
A. Outside temperature and cost to heat a home
B. Number of people in a grocery check-out line and how long you have to wait to check out
C. Length of time you have walked and distance you have traveled
D. Pounds of cherries you buy and amount of money you spend on cherries
E. Speed of a train and the amount of time it takes for the train to get to its destination
The U.S. and many other countries have recently tightened airport security. A sociologist is interested in estimating the proportion of the travelers who feel that airports are safe. The sociologist found that 375 of the 500 travelers randomly selected and interviewed indicated that the airports were safe. With an alpha level of 0.05, conduct a test to determine whether the true proportion of interest is higher than 0.7.
Answer:
0.0073 < 0.05, which means that we reject the null hypothesis and conclude that the true proportion of interest is higher than 0.7.
Step-by-step explanation:
Conduct a test to determine whether the true proportion of interest is higher than 0.7.
This means that the null hypothesis is: [tex]H_{0}: p = 0.7[/tex]
And the alternate hypothesis is: [tex]H_{a}: p > 0.7[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
0.7 is tested at the null hypothesis:
This means that [tex]\mu = 0.7, \sigma = \sqrt{0.7*0.3}[/tex]
The sociologist found that 375 of the 500 travelers randomly selected and interviewed indicated that the airports were safe.
This means that [tex]n = 500, X = \frac{375}{500} = 0.75[/tex]
Value of the z-statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.75 - 0.7}{\frac{\sqrt{0.7*0.3}}{\sqrt{350}}}[/tex]
[tex]z = 2.44[/tex]
P-value of the test:
Probability of z being larger than 2.44, that is, a proportion larger than 0.75.
This is, looking at the z-table, 1 subtracted by the pvalue of Z = 2.44. S
Z = 2.44 has a pvalue of 0.9927
1 - 0.9927 = 0.0073
0.0073 < 0.05, which means that we reject the null hypothesis and conclude that the true proportion of interest is higher than 0.7.
I need help with the answer
9514 1404 393
Answer:
309.33π yd³
Step-by-step explanation:
We can subtract the volume of the sphere from the volume of the cone, but we'd like to point out that said difference is irrelevant to the problem. The sphere does not fit into the cone. We cannot tell exactly how the composite figure is constructed.
__
Cone volume is ...
V = 1/3πr²h
V = 1/3π(10 yd)²(23 yd) = 2300π/3 yd³
Sphere volume is ...
V = 4/3πr³ = 4/3π(7 yd)³ = 1372π/3 yd³
The difference between the cone volume and the sphere volume is ...
(2300 -1372)π/3 yd³ ≈ 309.33π yd³
If v = -5, what does 4v - 3 equal? (Explain aswell)
Answer: Answer= -23
Step-by-step explanation: plug in -5 for v. THen multiply 4 and -5 which should give you -20. then subtract -3 from -20 which will give you -23. :)
Please help me with this!
Answer:
Step-by-step explanation:
Its going to be a negative
negative, if wrong so sorry
How do you do the half and sum of the equation?
Answer:
13x - 4
Step-by-step explanation:
Hi,
5(3x -1)
-1/2(4x - 2)
To add...
5(3x - 1) + -1/2(4x - 2)
15x - 5 - 2x + 1
13x - 4
That's your answer :)
I hope this helps!
Rewrite 2/5 and 4/11 so that they have a common denominator
Answer:
22/55 and 20/55
Step-by-step explanation:
multiply 2 and 5 by 11 to get 22/55, and multiply 4 and 11 by 5 to get 20/55
What is 7/10 × 2 5/6
Answer:
1.983 or about 1 1/6
hope this helped!