Testing the hypothesis, it is found that:
a)
The null hypothesis is: [tex]H_0: \mu \leq 10[/tex]
The alternative hypothesis is: [tex]H_1: \mu > 10[/tex]
b)
The critical value is: [tex]t_c = 1.74[/tex]
The decision rule is:
If t < 1.74, we do not reject the null hypothesis.If t > 1.74, we reject the null hypothesis.c)
Since t = 1.41 < 1.74, we do not reject the null hypothesis, that is, it cannot be concluded that the mean weight loss is of more than 10 pounds.
Item a:
At the null hypothesis, it is tested if the mean loss is of at most 10 pounds, that is:
[tex]H_0: \mu \leq 10[/tex]
At the alternative hypothesis, it is tested if the mean loss is of more than 10 pounds, that is:
[tex]H_1: \mu > 10[/tex]
Item b:
We are having a right-tailed test, as we are testing if the mean is more than a value, with a significance level of 0.05 and 18 - 1 = 17 df.
Hence, using a calculator for the t-distribution, the critical value is: [tex]t_c = 1.74[/tex].
Hence, the decision rule is:
If t < 1.74, we do not reject the null hypothesis.If t > 1.74, we reject the null hypothesis.Item c:
We have the standard deviation for the sample, hence the t-distribution is used. The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean. [tex]\mu[/tex] is the value tested at the null hypothesis. s is the standard deviation of the sample. n is the sample size.For this problem, we have that:
[tex]\overline{x} = 10.8, \mu = 10, s = 2.4, n = 18[/tex]
Thus, the value of the test statistic is:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{10.8 - 10}{\frac{2.4}{\sqrt{18}}}[/tex]
[tex]t = 1.41[/tex]
Since t = 1.41 < 1.74, we do not reject the null hypothesis, that is, it cannot be concluded that the mean weight loss is of more than 10 pounds.
A similar problem is given at https://brainly.com/question/25147864
Find all the measures
Answer:
Step-by-step explanation:
In a pack of starbursts, 25% of the
pieces were pink. If there were 12
pieces that weren't pink - how many
pieces were in the entire package?
How many pieces were red?
Answer: 16 total starbursts.
Step-by-step explanation:
If 25% were pink, then 75% aren't pink. Let x be the total number of starbursts. We know that 75% of x = 12 (the ones that aren't pink). There is insufficient information to determine whether there is even one red starburst.
0.75x = 12
x = 12/(3/4)
x = 48/3
x = 16
There are 16 total starbursts:
25% are pink = 4 pink starbursts
75% aren't pink = 12 non pink starbursts
Total of 16 starbursts.
We can't answer how many were red. We aren't given any indication that there is even one red starburst. All we know is that 12 are not pink.
What’s the answer to this question please?thank you
Step-by-step explanation:
the answer is in the image above
Any one get this (I need the work)
Option A
Let's verify
[tex]\\ \sf\longmapsto H^2=P^2+B^2[/tex]
[tex]\\ \sf\longmapsto (√110)^2=(√22)^2+(√88)^2[/tex]
[tex]\\ \sf\longmapsto 110=88+22[/tex]
[tex]\\ \sf\longmapsto 110=110[/tex]
Hence verified
What is the length of the diagonal from vertex J to vertex L in the quadrilateral below?
Answer: Root 65
Step-by-step explanation: If we count the squares from J down to M and horizantally from M over to L, it is 7 by 4. Then we use the A squared plus B squared = C squared formula. What we get is 49 and 16. Add them together and we get 65. 65 is not a square root, so all we can get is root 65.
please help no links!
Answer:
I believe the correct answer would be X = [tex]\frac{1}{4} z[/tex]
Step-by-step explanation:
You would set the denominator equal to 0
Then move the variable to the right
Lastly, divide both sides, which gives you your answer of X = [tex]\frac{1}{4} z[/tex]
Hope this helped.
Answer:
(12(3)-3(1/3))/(4(3)-5)=5
Step-by-step explanation:
12 x 3= 36 3 x 1/3=1
4 x 3=12
(36-1)/(12-5)
35/7
5
THE ANSWER IS 5
Jim’s backyard is 15 5/6 long and 10 2/5 wide. Jim buys sod in pieces that are 1 1/3 long and 1 1/3 wide. How many pieces of sod will Jim need to buy to cover his yard with sod?
Answer:
93
Step-by-step explanation:
((15 and 5/6) * (10 and 2/5)) divided by ( (1 and 1/3) * (1 and 1/3)) = 92 and 5/8
95 52 4 4
--- * ----- divided by ------ * ------ =
6 5 3 3
19 26 16
---- * ----- divided by --------- <--- 95 cancels 5 by a factor of 19; the greatest common factor of 52 and 6 is 2
3 1 9
19 * 26 * 9
-------------------- <---- Remember when dividing fractions, KFC: keep , flip , change
3 * 16
19 * 13 * 3
------------- <--- 9 cancels the 3; the greatest common factor of 26 and 8 is 2
8
741/8 = 92 and 5/8
ninety two and five eigths
Given that angle a = 68°, work out x.
.
a
The diagram is not drawn accurately.
HELP PLEASE!!
9514 1404 393
Answer:
x = 22°
Step-by-step explanation:
The interior angles in a triangle total 180°.
x + a + 90° = 180°
When we subtract 90° from both sides of this equation, we find ...
x + a = 90° . . . . . . . . the acute angles are complementary.
x = 90° -a = 90° -68°
x = 22°
How do you find cube roots... 3(square root symbol) 512
Answer:
the cube root of 512 is 8 i hope this helps
i'll send a kist up to 15 if you want
Step-by-step explanation:
[tex]\sqrt[3]{512} \\\\=\sqrt[3]{8^3}\\\\\\=\left(8^3 \right)^{\tfrac 13}\\\\\\=8[/tex]
What is the third part of the process of investigating a question using data?
A. Making an inference
B. Rephrasing the question
C. Collecting the data
D. Describing the data
The third part of the process of investigating is describing the data.
It is required to find the third part of the process of investigating a question using data.
What is a statement?A statement is a declarative sentence that is either true or false but not both. A statement is sometimes called a proposition. The key is that there must be no ambiguity. To be a statement, a sentence must be true or false, and it cannot be both.
Given:
A. Making an inference
B. Describing the data
C. Rephrasing the question
D. Collecting the data
We have to determine which option is correct for
The third part of the process of investigating a question using
data.
What is the third part of the process of investigating?
The investigative process is a progression of activities or steps moving from evidence-describing tasks.
Therefore in this case third part of the process of investigating is describing the data.
Learn more about statement here:
https://brainly.com/question/2285414
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Which situation can be represented by this inequality? 135 ≤ 10r + 15 Question 8 options: Hugo has 10 songs in his music player. He will add 15 songs every month. Hugo collects songs for r months. For what values of r will Hugo have at most 135 songs? Hugo has 10 songs in his music player. He will add 15 songs every month. Hugo collects songs for r months. For what values of r will Hugo have at least 135 songs? Hugo has 15 songs in his music player. He will add 10 songs every month. Hugo collects songs for r months. For what values of r will Hugo have at most 135 songs? Hugo has 15 songs in his music player. He will add 10 songs every month. Hugo collects songs for r months. For what values of r will Hugo have at least 135 songs?
Answer:
Hugo has 10 songs in his music player. He will add 15 songs every month. Hugo collects songs for r months. For what values of r will Hugo have at most 135 songs?
Step-by-step explanation:
took test 100%
Trey’s gas tank is 1/4 full. After he buys 9 gallons of gas, it is 5/8 full. How many gallons can Trey’s tank hold?
the sum of two numbers is 23.
Answer:
11+12=23
(hopefully this helps)
Hi! ❤️ , im looking for some help here. ill give brainliest if able to.
Answer:
D
Step-by-step explanation:
Answer:
B. 2^10
Step-by-step explanation:
2^3 is the same as 2 × 2 × 2 which equals 8, and 2^7 is the same as 2 × 2 × 2 × 2 × 2 × 2 × 2 which equals 128.
8 × 128 = 1,024
Now we just figure out which option also equals 1,024.
A. 2^-4 = 1/16 or 0.06
B. 2^10 = 1,024
C. 2^9 = 512
D. 2^21 = 2,097,152
Hope this helps :)
Find the area of the circle with the following dimension Radius = 5 in The area is : in2 (Round to the nearest tenth as needed.)
Answer:
Can u repeat the question. I didn't understand the area.
Find the slope of the line going through the points
(2, -7) and (4, -13).
-
The slope of the line is m =
Answer: m = -3
Step-by-step explanation:
Find the slope of the line that passes through the points (2, -7) and (4, -13).
[tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
Plug in the two points:
[tex]\frac{(-13)-(-7)}{(4)-(2)}[/tex] = [tex]-\frac{6}{2}[/tex] = [tex]-{3}[/tex]
The slope is -3.
Help me with this please
Answer:
When w = 8, w² - 4w - 2 = 30.
Step-by-step explanation:
w² - 4w - 2
Substitute value w = 8.
8² - 4(8) - 2
Square 8.
64 - 4(8) - 2
Multiply -4 and 8.
64 - 32 - 2
Subtract 32 from 64.
32 - 2
Subtract 2 from 32.
30.
Answer:
[tex] = > {w}^{2} - 4w - 2[/tex]
[tex] = > {8}^{2} - 4(8) - 2[/tex]
[tex] = > 64 - 32 - 2[/tex]
[tex] = > 34[/tex]
You want to buy some beans. A 6-ounce package costs $2.22. A 14-ounce package costs $5.04.
A 20-ounce package costs $7.80. Which package is the best buy?
Answer:
The second one. It is only .36 per ounce
Step-by-step explanation:
2.22 divided 6 = 37
5.04 divided 14 = 36
7.80 divided 20 = 39
please nobody will help me i need to pass and this is my 5th time posting it!
PLEASE
Answer:
The range is 35
Step-by-step explanation:
I found the range by subtracting the largest number and the smallest
42 - 7
And the second question you got right. 4 is correct
Hope this helps
Answer:
range=35 and the players' points 45
Step-by-step explanation:
Wallace has a board that is 4 feet long. He is cutting off pieces that are Start Fraction 3 over 4 End Fraction of a foot long. How many whole pieces can he make?
Answer:
He can get 5 whole pieces at 3/4 of a foot long because 3/4 times 5 equals 3 and 3/4.
Step-by-step explanation:
Hope this helps . . . <3
Please please help please help me please please help me
Answer:
y = 6/8x - 3/2
Step-by-step explanation:
In this case, since we don't yet know the exact fraction for the y-intercept, we will find the slope first.
To find slope, we will simply start at the first point that is given to us on the graph, and then count the units up and over until we reach the second point. (Remember rise/run)
Our slope is 6/8, because we went upwards 6 units and to the right 8 units.
Now, in order to find the y-Intercept, we will use the point slope formula⤵⤵⤵
[tex]y - y _{1} = m(x - x _{1})[/tex]
We will plug in one of the points that the line passes through. In this case we will use the first given point. The coordinates of the point are (-3,-2).
y - (-3) = 6/8 (x- (-2)) or we can just simplify this to:
y + 3 = 6/8 (x + 2)
To solve this, first distribute 6/8 among everything inside the parenthesis to get
y + 3 = 6/8x + 3/2 (6/8 × 2 = 12/8 then simplify to 3/2). Next we will subtract 3 on both sides to get
y = 6/8x - 3/2.
And there we go, we're done. Hope this helps you :)
You have a bag of different flavored candies. The probabilities of randomly selecting a particular flavor of candy are shown below:
Cherry | .245
Lime | .325
Lemon | .180
Orange | .215
Grapefruit | .035
Your buddy Earl likes the lime candies. He eats a bunch of them and hands the bag back to you. The complement of the event P(selecting a Lime candy from the bag) would:
A. become 0
B. stay the same
C. There isn't enough information to answer this question
D. increase
E. decrease
(according to a different site E. decrease isn't the answer)
The complement of the event P(selecting a Lime candy from the bag) would increase.
The probability of event P(selecting a Lime candy from the bag) would decrease after Earl eats a bunch of lime candies.
In essence, the complement of the event P(selecting a Lime candy from the bag), which is synonymous to the chance of not picking a Lime candy from the bag increases.
Read more:
https://brainly.com/question/52529
What is the equation of the line which is perpendicular to y = 2x + 2 and passes through the point (0, 6)?
Step-by-step explanation:
the slope of a line function is always the factor of x.
in our case : 2
it is the ratio y/x indicating how many units y changes, when x changes a certain amount of units.
in our case (2 = 2/1) y increases by 2 for every x increase by 1.
now, the perpendicular slope simply changes x and y upside-down and flips the sign.
in our case it is : -1/2
so, the line function looks like
y = (-1/2)x + b
b is the y-intercept, and we get it by using the coordinates of the point as x and y
6 = (-1/2)×0 + b = b
the full line equation is
y = (-1/2)x + 6
Shirts are on sale for 15% off. Fernando uses the expression p - 0.15p to find the
new price of a shirt that originally cost p dollars.
Complete each sentence.
Please!!
Answer:
The expression that represents the sale price of the shirt is p-0.15p.
Given that,
He wants to purchase the shirt i.e. on the sale for 15% off on the regular price.
The regular price should be p dollars.
Based on the above information, the equation should be p -0.15p
Here the shirt price should be multiplied with the discount and then subtract it.
Therefore we can conclude that the expression that represents the sale price of the shirt is p-0.15p.
Answer:
Answer is in the picture. :)
Step-by-step explanation:
Using the computer output, what is the correlation?
The arm span and foot length were measured (in
centimeters) for each of the 19 students in a statistics
class and displayed in the scatterplot. An analysis was
completed and the computer output is shown.
0 0.630
0 0.649
0.794
0 0.806
Using the computer output, the correlation is 0.794
How to determine the correlation?The attached image (i.e. the computer output) completes the question
From the computer output, we have:
r² = 63.0%
Take the square root of both sides
r = 0.7937
Approximate
r = 0.794
This represents the correlation.
Hence, the correlation is 0.794
Read more about correlation at:
https://brainly.com/question/17237825
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I think the answer is 0.806
please help worth 25 points
9514 1404 393
Answer:
2 colas and 4 hot dogs
Step-by-step explanation:
We presume the units of total satisfaction are additive for the two food items.
The maximum number of colas Joe can buy with his $8 is $8/($2/cola) = 4 colas. Since a cola costs twice what a hot dog costs, Joe can give up 1 cola and buy 2 hot dogs. Possible purchases of (colas, hotdogs) for $8 can be ...
(0, 8), (1, 6), (2, 4), (3, 2), (4, 0)
Of course, either the number of colas or the number of hot dogs (or both) could be less than these values.
The corresponding satisfaction units are added in the attached table. These combinations are highlighted in green. The maximum number of satisfaction units is found to be for 2 colas and 4 hot dogs. (49 satisfaction units)
_____
Satisfaction values below and to the right of the highlighted diagonal cannot be purchased with $8.
In the figure shown, tIl x and k Il w.
If m23 = 20°, list all the angles that are 20° and all the angles that are 160°.
There are approximately 0.30 m in 1 foot. About how many feet are there in 12 meters? Round your answer to the nearest tenth.
Answer:
The answer would be 40. .30 times 40 is 12 :)
HELP ASAP DON'T SPAM Graph the solution to this inequality on the number line. x + 3 < -2 First select the correct ray. Then select the location of the endpoint to plot the inequality on the number line.
Answer:
x < -5
Step-by-step explanation:
x + 3 < -2
- 3 - 3
_________
x < -5
On the number line, the values of x are on the left side of -5 where -5 is not included and this can be determined by simplifying the given inequality.
Given :
Inequality -- (x + 3 < -2)
The following steps can be used to graph the solution of the given inequality:
Step 1 - Write the given inequality.
x + 3 < -2
Step 2 - First, simplify the given inequality. Subtract 3 on both sides in the above inequality.
x + 3 - 3 < -2 - 3
x < -5
Step 3 - So, the interval of x is given by ([tex]-\infty[/tex], -5).
Step 4 - On the number line, the values of x are on the left side of -5 where -5 is not included.
So, the correct option is a).
For more information, refer to the link given below:
https://brainly.com/question/15137133
Marla was hiking directly toward a road when she encountered a pond. She turned 52° to the left and hiked 3 miles in that direction to reach the road.
Answer:
Meaning she took longer road
52 degrees where? to the west
Answer:
3.84 is correct on plato
Step-by-step explanation:
