Answer:
86.67%
Step-by-step explanation:
\frac{100\%}{x\%}=\frac{90}{78}
Take the inverse/reciprocal:
\frac{x\%}{100\%}=\frac{78}{90}
x=86.67%
Hope this helps!
In a children's story, a young girl finds that one bowl of soup is too hot, another is too cold, and a third bowl is just
right. Further study reveals that the temperature of the soup bowl that the young girl declared to be just right was
100°F. A researcher would like to test the hypotheses How=100 versus Hou* 100 where ji = the true mean
temperature of all bowls of soup. A 95% confidence interval based on a random sample of 30 bowls of soup is
(100.9, 102.3). Using this interval, can the researcher reject the null hypothesis?
Yes, the null hypothesis can be rejected at the significance level a = 0.05, because 100 is not contained in the and
95% confidence interval.
Yes, the null hypothesis can be rejected at the significance level a = 0.01, because 100 is not contained in the
95% confidence interval.
No, the null hypothesis cannot be rejected at the significance level a = 0.05, because 100 is not contained in the
95% confidence interval.
No, the null hypothesis cannot be rejected at the significance level a = 0.01, because 100 is not contained in the
95% confidence interval
Answer:
A, Yes, the null hypothesis can be rejected at the significance level α = 0.05, because 100 is not contained in the 95% confidence interval.
Step-by-step explanation:
A bus has 10 seats that can hold 2 passengers and another seat that can hold 3 passengers how many passengers can be seated on the bus
Answer:it can hold 23 passangers
Step-by-step explanation:
The 6 students in Mrs. James' class were asked how many minutes It takes them to get to school in the morning. Here is what they answered:
15, 8, 7, 7, 11, 13
Find the mean and median travel times for these students.
If necessary, round your answers to the nearest tenth.
Mean: 1 minutes
x
3
?
Median: minutes
Explanation
Check
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Answer:
mean = 10.2 minutes
median = 9.5 minutes
Step-by-step explanation:
To find the mean, add up all of the results and then divide by the number of students in the sample. Therefore, the work should look like this: 15+8+7+7+11+13=61 --> 61/6=10.1666667
To find the median, order the results from least to greatest and then notice which number is the middle value. Since there is an even number of students in the sample, you will find that both 8 and 11 are the middle values when you put them all in numerical order (7, 7, 8, 11, 13, 15). Therefore, you must find the average of those two number in order to get the median. (8+11=19 --> 19/2=9.5)
Determine the volume of a sphere with a radius of 1.28 inches. Round your answer to the nearest hundredth. Use 3.14 for pi.
a.
8.78 cu. in
c.
9.78 cu. in
b.
7.48 cu. in
d.
2.48 cu. in
Answer:
A
Step-by-step explanation:
The equation is V=4/3 times Pi times radius^3
6. A stoplight at an intersection stays red for 60 second, changes to green for 45
seconds, and then turns yellow for 15 seconds. If Jamal arrives at the
intersection at a random time, what is the probability that he will have to wait at
a red light for more than 15 seconds?
Answer:
0.75 = 75% probability that he will have to wait at a red light for more than 15 seconds
Step-by-step explanation:
At each second, the stoplight is equally likely to change, which means that we use the uniform probability distribution to solve this question.
Uniform probability distribution:
Has two bounds, a and b. The probability of finding a value higher than x is given by:
[tex]P(X > x) = \frac{b - x}{b - a}[/tex]
Red for 60 seconds
So when Jamal arrives it can change in any number of seconds between 0 and 60, that is, [tex]a = 0, b = 60[/tex]
Probability that he will have to wait at a red light for more than 15 seconds?
[tex]P(X > 15) = \frac{60 - 15}{60 - 0} = \frac{45}{60} = \frac{3}{4} = 0.75[/tex]
0.75 = 75% probability that he will have to wait at a red light for more than 15 seconds
The question is in le picture below U-U
Answer:
30%
Also I LOVE THE EMMA PIC!!!!!!!!
A horticulturist working for a large plant nursery is conducting experiments on the growth rate of a new shrub. Based on previous research, the horticulturist feels the average weekly growth rate of the new shrub is 3cm per week. A random sample of 45 shrubs has an average growth of 1.50cm per week with a standard deviation of 3cm. Is there overwhelming evidence to support the claim that the growth rate of the new shrub is less than 3cm per week at a 0.050 significance level?
Find the value of the test statistic. Round your answer to three decimal places, if necessary.
Answer:
Test statistic = - 3.354
We reject H0 and conclude that the growth rate of the new shrub is less than 3cm per week.
Step-by-step explanation:
H0 : μ = 3
H1 : μ < 3
The test statistic = (xbar - μ) / (s/ √n)
Xbar = 1.50
μ = 3
s = 3
n = 45
Test statistic = (1.5 - 3) / (3/ √45)
Test statistic = - 1.5 / 0.4472135
Test statistic = - 3.354
Pvalue, using the Pvalue from Z score calculator :
Pvalue = 0.00039826
α = 0.05
Pvalue < α ; We reject H0 and conclude that the growth rate of the new shrub is less than 3cm per week.
Suppose the heights of the members of a population follow a normal distribution. If the mean height of the population is 68 inches and the standard deviation is 4 inches, 68% of the population will have a height within which of the following ranges?
Answer:
68% of the population will have a height between 64 and 72 inches
Step-by-step explanation:
According to the Empirical Rule, 68% of the population will have a height within the range of 1 standard deviation of the mean. This means that the range of possible heights for 68% of the population is between 68-4(1)=64 inches and 68+4(1)=72 inches
3. Two triangles can be formed with the given information. Use the Law of Sines to solve the triangles.
A = 55°, a = 12, b = 14 (1 point)
B = 72.90, C = 52.1°, C = 12.5; B = 107.1°, C = 17.9°, C = 12.5
B = 72.90, C = 52.1°, C = 11.6; B = 107.1°, C = 17.9°, c = 4.5
B = 17.1°, C = 107.9°, C = 10.3; B = 162.99, C = 72.1°, c = 10.3
B = 17.1°, C = 107.9°, C = 13.9; B = 162.99, C = 72.1°, C = 13.9
9514 1404 393
Answer:
(b) B = 72.90, C = 52.1°, C = 11.6; B = 107.1°, C = 17.9°, c = 4.5
Step-by-step explanation:
Sometimes, the best way to answer a multiple-choice question is to see which choices are self-consistent.
__
Side lengths and their opposite angle measures in a triangle have the same ordering, least to greatest. It is informative to look at the answer choices with this in mind.
1a. C < A < B; a < c < b . . . . inconsistent
2a. C < A < B; c < a < b.
2b. C < A < B; c < a < b . . . . consistent
3a. B < A < C; c < a < b . . . . inconsistent
4a. B < A < C; a < c < b . . . . inconsistent
Only answer choice 2 is self-consistent. It is the correct one.
Graph the following function on the axes provided.
Answer:
this may help you.look it once
Step-by-step explanation:
.
Find 59.2% of 250................................................
Answer:
148
Step-by-step explanation:
59.2/100x250
what is the area of the triangle 13,12,5
Answer:
area = 5
Step-by-step explanation:
Why should you write everything down instead of doing the math in your head?
Answer and Step-by-step explanation:
It ensures that you don't accidently skip a step or get confused by which numbers are being used. By writing it down, it allows you to look back and see if you answer was correct or incorrect.
For example:
On a test, you need to do a complicated math problem that you know you can do in your head. It would still be a good idea to write down the process, so that you can see in front of you the numbers you get and results. If it is incorrect when checking over you answers, then you can go through the steps you made to see where you made a mistake.
#teamtrees #PAW (Plant And Water)
Answer:
Because when you need to use this information in the future it will be in your notebook/binder. When you study each lesson you will have the answers in your notes for when you do a Test or quiz. When doing math in your head it is called mental math but it is only used when needed.
Step-by-step explanation:
- chicken box
What is the total of 12 monthly payments of 100.00 including tax
Answer:
The monthly payments of said financing plan will be $8.33.
Step-by-step explanation:
To determine what is the total of 12 monthly payments of $ 100.00 including tax, the following calculation must be performed:
100/12 = X
8.33 = X
Therefore, the monthly payments of said financing plan will be $8.33.
What’s the answer (no link I give brainly)
In a statistics class, students were asked how many siblings they have. The mean number of siblings for the class is 3.08 with a standard deviation of 1.61 siblings. The z-score for a student with four siblings is 0.57. Which of the following statements is the best interpretation of the z-score?
Answer:
The number of siblings for this student is 0.57 standard deviations above the mean number of siblings.
Step-by-step explanation:
yes
how do you divide a square in half by connecting two vertices?
Answer:
diagonally.
Step-by-step explanation:
the vertices are the corners or angles. square has four angles. if you have to divide it in half by connecting 2 vertices, then you would just need to draw a line from one corner, diagonally to another corner. you have 2 halves that are equilateral triangles. think about a grilled cheese sandwich cut in half. make sense?
Which inequality is equivalent to |x-4/<9?
- 9> X-4 < 9
0.9< X - 4 < 9
OX-4<-9 or X-4 < 9
X – 4 >-9 or x 4 < 9
Answer: x-4>-9 or x-4<9
Step-by-step explanation:
The correct option for the given inequality is x-4>-9 or x-4<9
What is an inequality?A relationship between two expressions or values that are not equal to each other is called inequality.
Given an inequality, |x-4| < 9
Using the rule, if |x| < a then, -a < x < a.
Therefore,
|x-4| < 9
-9 < x-4 < 9
x-4 > -9 or x-4 < 9
Hence, The correct option for the given inequality is x-4>-9 or x-4<9
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Many elementary school students in a school district currently have ear infections. A random sample of children in two different schools found that 16 of 40 at one school and 13 of 30 at the other had this infection. Conduct a test to answer if there is sufficient evidence to conclude that a difference exists between the proportion of students who have ear infections at one school and the other. Find the test statistic. [Suggestion: try to use a TI 83 or a similar calculator.]
Answer:
The test statistic is [tex]z = -0.28[/tex]
Step-by-step explanation:
First, before finding the test statistic, we need to understand the central limit theorem and difference between normal variables.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
Subtraction between normal variables:
When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.
A random sample of children in two different schools found that 16 of 40 at one school
This means that:
[tex]p_1 = \frac{16}{40} = 0.4, s_1 = \sqrt{\frac{0.4*0.6}{40}} = 0.0775[/tex]
13 of 30 at the other had this infection.
This means that:
[tex]p_2 = \frac{13}{30} = 0.4333, s_2 = \sqrt{\frac{0.4333*0.5667}{30}} = 0.0905[/tex]
Conduct a test to answer if there is sufficient evidence to conclude that a difference exists between the proportion of students who have ear infections at one school and the other.
At the null hypothesis, we test if there is no difference, that is:
[tex]H_0: p_1 - p_2 = 0[/tex]
And at the alternate hypothesis, we test if there is difference, that is:
[tex]H_a: p_1 - p_2 \neq 0[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{s}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis and s is the standard error
0 is tested at the null hypothesis:
This means that [tex]\mu = 0[/tex]
From the two samples:
[tex]p = p_1 - p_2 = 0.4 - 0.4333 = -0.0333[/tex]
[tex]s = \sqrt{s_1^2+s_2^2} = \sqrt{0.0775^2+0.0905^2} = 0.1191[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{s}[/tex]
[tex]z = \frac{-0.0333 - 0}{0.1191}[/tex]
[tex]z = -0.28[/tex]
The test statistic is [tex]z = -0.28[/tex]
What is the slope of the line that passes through the
points (2, 6) and (2, 9)?
0
3
undefined
i need help i dont know how to do this yet
Answer:
A=wl=4·7=28 answer is 28
Step-by-step explanation:
Answer:
the answer is 28
Step-by-step explanation:
you do lengthh times width
the length is 7 the width is 4
so 7 times 4 is 28
please help me with this equation
what is E and F i really need help please no bots
Answer:
be happy
Step-by-step explanation:
Can someone answer me I don’t get it
Answer:
B, C and F
Step-by-step explanation:
Negative numbers go farther and father to the left on a number line the higher in value they get.
Pls help me no weird answers pls.
Answer choices are:
A.24
B. 80
C.90
D. 56
PLEASE HELP ME!!!!! I REALLY NEED HELP!!!!!
Which coordinates represent point E? (3, 7) (4, 8) (7, 3) (8, 4)
Answer:
Hello! answer: 4, 8
Step-by-step explanation:
Remember x is before y so we go to 4 then up 8 hope that helps!
Find x. Round your answer to the nearest integer.
15
37
O A. 8
B. 6
C. 9
D. 12
The value of x in the given triangle is 12, Option C is correct.
What is trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles. The field emerged in the Hellenistic world during the 3rd century BC from applications of geometry to astronomical studies.
here, we have,
from the given figure, we get,
The given triangle is a right angled triangle.
We need to find the value of x.
We know that cosx is adjacent side by hypotenuse.
Cos 37 = Adjacent side/ Hypotenuse
The value of cos37 degrees is 0.7654
0.7654 = x/15
15×0.7654=x
11.5 =x
12=x
Hence, The value of x in the given triangle is 12, Option C is correct.
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Connie mason has a coupon for 25 percent off the purchase of a necklace that has a regular price of 100 what is the price after the coupon is used
Help me pls thanks so much
Answer:
A) 5 in
B) 3.93 in
C) 11.8 in
Step-by-step explanation:
A) 10π/π = 10in diameter
10/2 = 5 in radius
B) 10π/8 = 3.93 in
C) 3.93 x 3 = 11.8 in
Jerry has $90 in his savings account. The interest rate is 10%, compounded annually. To the nearest cent, how much interest will he earn in 3 years
Answer:
27 cents
Step-by-step explanation:
10% of 90= 9
9x3=27
Answer:
p x t x r / 100
90 x 10 x 3 / 100
=27