Answer:
63
Step-by-step explanation:
Answer:
117°
Step-by-step explanation: We know that the angles of a triangle have to equal 180°. We already know one angle (75°) and we can find the others. Vertical angles are congruents so the angle opposite 42° is also 42° So add 42 and 75 and you get 117. Keep in mind that all the angles have to equal 180 so 180-117 will get you the last angle measure. 180-117= 63. BUT that's not the answer because that is not x and it asks for x. So we know that a straight line also equals 180 that angle that we found that was 63 plus x should get us 180. To find that we do 180-63 and find that x=117° Hope this made sense!
about 40% of athletes at a gym use a professional trainer. The proportion of success is when p= 0.4. you choose a random sample of 50 athletes at a gym. Use this information to answer questions 14 and 15.
14) What is the standard error of the mean?
15) what interval captures 68% of the proportions for random samples of 50 athletes?
math is so complicated like dang teacher give us a break
in the problem 12+58=70,12 and 58 are called factors true or false
Answer:
false
Step-by-step explanation:
Answer:
false they are called addend s
Consider all the points in the plane that solve the equation [tex]$x^2 + 2y^2 = 16.$[/tex] Find the maximum value of the product [tex]xy[/tex] on this graph.
(This graph is an example of an "ellipse".)
Answer:
that hard....
Step-by-step explanation:
PLEASE HELPP I REALLY NEED IT
Answer: Vertical angle proof
Step-by-step explanation: First off, this is really easy if you know how to do it. I think you should be able to figure it out. If you really are in collage. So Vertical angle proof, QPR is essentially (2x-30) but we need to find x. We know a triangle is 180 degrees and if it's a right angle then two angles add to 90.
So x+(2x+30)=90, 3x+30=90, 90-30=60, 3x=60, x=20. So there you have it. Now put x into the equation, 2(20)+30=70
70
Can somebody help me please
Step-by-step explanation:
First, find complete data.
That would be 2, 12 and 5, 30
Divide the output by the input to get the relationship/constant.
12/2 = 6 30/5 = 6
So...
1 x 6 = 6
and
48 / 6 = 8
9514 1404 393
Answer:
(b) Output 6, Input 8
Step-by-step explanation:
One of the things you can look at is the ratio of output to input. Here, it is constant, which makes things a lot easier
output/input = 12/2 = 30/5 = 66/11 = 6
Then for input 1, output is 1×6 = 6.
For unknown input, we have ...
input × 6 = 48
input = 48/6 = 8
__
The two blanks are ...
input: 8; output 6
somebody PLEASE help, 2x - 8 = 12
what does x =??
it is acceptable to divide by zero true or false
Answer:
flase.,......,........
Answer:
true
Step-by-step explanation:
so like for example you say 0÷50
your answer will remain 0
Please help I will give you brainless fide the volume and round to the nearest tenth
Answer:
11.5 ft
Step-by-step explanation:
Take the cone formula:
V = 3.14 * 1^2 * 11/3 = 11.5 ft
Does anyone know ? ;-;
Answer:
[tex]y=\frac{3}{2}x+8[/tex]
Step-by-step explanation:
[tex]y=mx+b\\[/tex]
slope=m
[tex]y=-\frac{2}{3} x-1[/tex]
slope=[tex]-\frac{2}{3}[/tex]
slope=[tex]\frac{3}{2} ,(-4,2)[/tex]
[tex]y-y_{1} =m(x-1)\\\\y-_{2} =\frac{3}{2} (x-4)\\\\y-2=\frac{3}{2} x+6\\[/tex]
Add 2 to both sides
[tex]Answer:y=\frac{3}{2} x+8[/tex]
hope it helps!!
Need help ASAP!!!!!!!!!!
Answer:
the last two
Step-by-step explanation:
I will mark you brainalist
Answer:
-3,3 this is because that is where both of the lines intersect making them both a solution for both equations.
Step-by-step explanation:
Answer:
B. (-3, 3)
Step-by-step explanation:
Point of intersection of both the lines is the solution to both the equations.
Both the lines are intersecting each other at point (-3, 3)
So, ordered pair of solution is (-3, 3)
Two competing headache remedies claim to give fast-acting relief. An experiment was performed to compare the mean lengths of time required for bodily absorption of brand A and brand B. Assume the absorption time is normally distributed. Twelve people were randomly selected and given an oral dosage of brand A. Another 12 were randomly selected and given an equal dosage of brand B. The length of time in minutes for the drugs to reach a specified level in the blood was recorded. The results follow: x s x n Brand A 20.1 8.7 12 Brand B 18.9 7.5 12 a) Is there sufficient evidence that these drugs differ in the speed at which they enter the blood stream?
An
Step-by-step explanation:
Myopia in children. Myopia, also called short-sightedness, is a common visual impairment that is reaching alarming proportions worldwide. The condition typically develops in school-age children and adolescents. It has long been thought that the condition was associated with too much reading, but recent evidence suggests instead that a lack of exposure to natural outdoor light may play a role. To investigate this new theory, researchers compared rates of myopia among randomly selected young children (6 and 7 years old) of Chinese ethnicity living in either Sydney (Australia) or Singapore. The researchers found that 4 of the 124 children in the Australian sample had myopia, compared with 183 among the 628 children from Singapore.
a. Display the findings in a two-way table. What percent of the children in the study had myopia? What is that percent among the children living in Australia and among those living in Singapore?
b. The researchers obtained information for most of the children in the study about their weekly amount of time in hours) spent reading or writing and the weekly amount of time in hours) spent on outdoor activities. Here are the summary statistics:
Time reading/writing Number of children Mean Standard deviation
Australia 109 20.8 13.9
Singapore 611 17.8 8.8
Time outdoors Number of children Mean Standard deviation
Australia 102 13.75 1.02
Singapore 586 3.05 0.12
How do the children from both countries in this study differ in how they spend their time?
c. Does the study suggest that more time spent reading or writing is associated with a greater risk of myopia among the enrolled children? Does it suggest that more time spent outdoors is associated with a greater risk of myopia? Can we draw a conclusion of causality based on this study?
d. The children enrolled in this study were all of Chinese ethnicity. What is the advantage in this study of collecting data from children with the same ethnicity compared with selecting random samples of children from each location regardless of ethnicity?
Answer:
a. A two way table is presented as follows;
[tex]\begin{array}{cccc}&Had \ Myopia&Do \ not \ have \ Myopia& Totals\\Sydney \ (Australia)&4&120&128\\Singapore&183&445&628\end{array}[/tex]
ii) The percentage of students in the study that have myopia are approximately 24.867%
iii) The percentage of children living in Australia with myopia are approximately 3.2258%
The percentage of children living in Singapore with myopia are approximately 29.14%
b. Children in Australia spend more time reading, writing and also outdoors than children in Singapore
c. The study does not suggest that more time spent reading or writing is associated with a greater risk of myopia among the enrolled children
The study does not suggests that more time spent outdoors is associated with a greater risk of myopia
d. The advantage is to reduce associated variables the generate more accurate findings or result
Step-by-step explanation:
a. A two way table is presented as follows;
[tex]\begin{array}{cccc}&Had \ Myopia&Do \ not \ have \ Myopia& Totals\\Sydney \ (Australia)&4&120&128\\Singapore&183&445&628\end{array}[/tex]
ii) The percentage of students in the study that have myopia are;
(4 + 183)/(124 + 628) × 100 ≈ 24.867%
iii) The percentage of children living in Australia with myopia is given as follows;
4/124 × 100 ≈ 3.2258%
The percentage of children living in Singapore with myopia is given as follows;
183/628 × 100 ≈ 29.14%
b. The data for the time spent reading and writing is presented as follows;
Number of children [tex]{}[/tex] Mean Standard deviation
Australia 109 [tex]{}[/tex] 20.8 13.9
Singapore [tex]{}[/tex] 611 17.8 8.8
The data for the time spent outdoors is presented as follows;
Number of children [tex]{}[/tex] Mean Standard deviation
Australia 102 [tex]{}[/tex] 13.75 1.02
Singapore [tex]{}[/tex] 586 3.05 0.12
From the data, more children in Australia spend more time reading and writing and also outdoors than children in Singapore
c. From the data, more children spend their time reading and writing in Australia and are also less likely to develop myopia than children in Singapore
Therefore, the study does not suggest that more time spent reading or writing is associated with a greater risk of myopia among the enrolled children
Similarly, the study does not suggests that more time spent outdoors is associated with a greater risk of myopia
d. The advantage of collecting data from children with the same ethnicity compared with selecting random samples of children from each location regardless of ethnicity is to reduce the variables or influential factors that may alter the impact on the test and the results
Which of the following values are in the range of the function graphed below?
Check all that apply.
10
-10
10
- 10 -
I A. -1
B. 0
C. 4
D. -4
E. 1
F. 2
Answer:
1
Step-by-step explanation:
Somebody help me asap please giving brainliest
Answer:
70!
Step-by-step explanation:
If you divide the shape in rectangles, you'll just add it up in the end.
5 x 3 = 15
5 x 3 = 15
10 x 4 = 40
40 + 15 + 15 = 70.
Hope this helps!
16 km
d) radius =
diameter =
Answer:
the radius is half the diameter. radius = 8 diameter =16
Step-by-step explanation:
Over the years, parking has become an issue during spring at MSU as more people bring cars to campus. The waiting time to find a parking spot at Wells Hall parking lot is normally distributed with an average of 9.60 minutes and a standard deviation of 2.60 minutes during peak hours (10 am - 5 pm).
1) What proportion of waiting times are between 8 and 10.8 minutes? Enter your answer to 4 decimal places.
2) What proportion of waiting times are less than 6.8 minutes? Enter your answer to 4 decimal places.
3) You reach Wells Hall parking lot and your class starts in 12 minutes. What is the chance that you are late to class, that is waiting time is at least 12 minutes?
4) Based on your unpleasant experiences in the past you know that your waiting time is in the top 4%. What is the cutoff for the top 4% of waiting times?
5) What is the waiting time for the 30th percentile?
Answer:
1) 0.4096 = 40.96% of waiting times are between 8 and 10.8 minutes.
2) 0.1401 = 14.01% of waiting times are less than 6.8 minutes.
3) 0.1788 = 17.88% probability that you are late.
4) The cutoff for the top 4% of waiting times is of 14.15 minutes.
5) The waiting time for the 30th percentile is of 8.235 minutes.
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 zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
Average of 9.60 minutes and a standard deviation of 2.60 minutes during peak hours.
This means that [tex]\mu = 9.6, \sigma = 2.6[/tex]
1) What proportion of waiting times are between 8 and 10.8 minutes?
This is the pvalue of Z when X = 10.8 subtracted by the pvalue of Z when X = 8. So
X = 10.8
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{10.8 - 9.6}{2.6}[/tex]
[tex]Z = 0.46[/tex]
[tex]Z = 0.46[/tex] has a pvalue of 0.6772
X = 8
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{8 - 9.6}{2.6}[/tex]
[tex]Z = -0.62[/tex]
[tex]Z = -0.62[/tex] has a pvalue of 0.2676
0.6772 - 0.2676 = 0.4096
0.4096 = 40.96% of waiting times are between 8 and 10.8 minutes.
2) What proportion of waiting times are less than 6.8 minutes?
This is the pvalue of Z when X = 6.8.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{6.8 - 9.6}{2.6}[/tex]
[tex]Z = -1.08[/tex]
[tex]Z = -1.08[/tex] has a pvalue of 0.1401
0.1401 = 14.01% of waiting times are less than 6.8 minutes.
3) You reach Wells Hall parking lot and your class starts in 12 minutes. What is the chance that you are late to class, that is waiting time is at least 12 minutes?
This is 1 subtracted by the pvalue of Z when X = 12. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{12 - 9.6}{2.6}[/tex]
[tex]Z = 0.92[/tex]
[tex]Z = 0.92[/tex] has a pvalue of 0.8212
1 - 0.8212 = 0.1788
0.1788 = 17.88% probability that you are late.
4) Based on your unpleasant experiences in the past you know that your waiting time is in the top 4%. What is the cutoff for the top 4% of waiting times?
The cutoff for the top 4% of times is the 100 - 4 = 96th percentile, which is X when Z has a pvalue of 0.96. so X when Z = 1.75.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.75 = \frac{X - 9.6}{2.6}[/tex]
[tex]X - 9.6 = 1.75*2.6[/tex]
[tex]X = 14.15[/tex]
The cutoff for the top 4% of waiting times is of 14.15 minutes.
5) What is the waiting time for the 30th percentile?
This is X when Z has a pvalue of 0.3. So X when Z = -0.525.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-0.525 = \frac{X - 9.6}{2.6}[/tex]
[tex]X - 9.6 = -0.525*2.6[/tex]
[tex]X = 8.235[/tex]
The waiting time for the 30th percentile is of 8.235 minutes.
Jordyn is weighing the ingredients on a kitchen scale to make bread. The bowl weighs 1 1/2 pounds. He adds several scoops of flour. the total weight of the bowl and the flour is 2 3/4pounds. If each cup weighs 5/16 pound, how many cups of flour does he add?
Answer: 4 pounds of flour
Step-by-step explanation:
Help please someone please
Answer:
lateral area of cylinder =2×pi ×radius×height
lateral area of cylinder =2×3.14×1×2
lateral area of cylinder=12.56 unit²
HELP PLEASE
LOTS OF POINTS
EASY POINTS
JUST ANSWER
THXX <3
Answer:
180°
Step-by-step explanation:
You can rotate the equilateral triangle 180° to match the original orientation.
Please help me! How much would you expect gas to cost in 2030. Show your work.
Answer:World Bank expects the natural gas price at Henry Hub to increase to $4 per MMBtuStep-by-step explanation:
Janet bought 12 guavas and 16 apples. What is the ratio of guavas to apples?
12 : 16
divide by 4
3 : 4
that's it
PLZZZZZ HELPPPP MEEE!!!!
Answer:
Step-by-step explanation:
area = (3x³y)(2xy + x⁵)
= 3x³y·2xy + 3x³y·x⁵
= 6x⁴y² + 3x⁸y
The manager of a fast-food restaurant wants to be sure that, on average, customers are served within 4 minutes from the time the order is placed. He is particularly concerned about the staff working during the early morning shift. From a random sample of 41 orders, the mean time was 3.75 minutes with a standard deviation of 1.2 minutes.
(a) Is there convincing evidence at the a = 0.05 significance level that the true mean service time during the early morning shift is less than 4 minutes?
Answer:
There is not convincing evidence at the a = 0.05 significance level that the true mean service time during the early morning shift is less than 4 minutes
Step-by-step explanation:
The null hypothesis is:
[tex]H_{0} = 4[/tex]
The alternate hypothesis is:
[tex]H_{1} < 4[/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.
From a random sample of 41 orders, the mean time was 3.75 minutes with a standard deviation of 1.2 minutes.
This means that [tex]n = 41, \mu = 3.75, \sigma = 1.2[/tex]
The test-statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{3.75 - 4}{\frac{1.2}{\sqrt{41}}}[/tex]
[tex]z = -1.33[/tex]
[tex]z = -1.33[/tex] has a pvalue of 0.0918, looking at the z-table.
0.0918 > 0.05, which means that the null hypothesis is accepted, and that there is not convincing evidence at the a = 0.05 significance level that the true mean service time during the early morning shift is less than 4 minutes
Daniel is making cupcakes for a school bake sale. He wants to make 120 cupcakes. So far he has made 65% of them. How many more cupcakes does he need to make?
What is the sum?
3(2x + 3) + 2(x + 5)
Answer:
A: 8x + 19
Step-by-step explanation:
3(2x+3) = 6x + 9
2(x+5) = 2x + 10
6x+9 + 2x+10 = 8x + 19
here's my face I just dyed my hair-
Answer:
that looks nice
Step-by-step explanation:
the hair looks cool
X2 + 8x + y2 - 2y =64
the sum of m and the difference of r and 2
Answer:
Step-by-step explanation:
Read simply, it is m + (r - 2). It is a very clear statement, so you can depend on the answer.
A private beach is 6/7 mile in length and 1/4 mile in width. What is the area of the private beach? (Don't forget to simplify)Immersive Reader
(20 Points)