Answer:
The pvalue of the test is 0.0012 < 0.05, which means that the data provides convincing evidence that the pediatrician's claim is true.
Step-by-step explanation:
A pediatrician claims that the mean weight of one-year-old boys is greater than 25 pounds.
This means that at the null hypothesis, we test that the mean is 25 pounds, that is:
[tex]H_0: \mu = 25[/tex]
At the alternate hypothesis, we test that it is more than 25 pounds, that is:
[tex]H_a: \mu > 25[/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.
25 is tested at the null hypothesis:
This means that [tex]\mu = 25[/tex]
The National Health Statistics Reports described a study in which a sample of 315 one-year-old baby boys were weighed. Their mean weight was 25.6 pounds with standard deviation 5.3 pounds.
This means that [tex]n = 315, \mu = 25.6, \sigma = 5.3[/tex]
Value of the test-statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{25.6 - 25}{\frac{5.3}{\sqrt{315}}}[/tex]
[tex]z = 3.04[/tex]
Pvalue of the test and decision:
The pvalue of the test is the probability of finding a mean above 25.6 pounds, which is 1 subtracred by the pvalue of z = 3.04.
Looking at the z-table, z = 3.04 has a pvalue of 0.9988
1 - 0.9988 = 0.0012
The pvalue of the test is 0.0012 < 0.05, which means that the data provides convincing evidence that the pediatrician's claim is true.
how far away from his house was tyrone after 16 minutes
Answer:
100000km
Step-by-step explanation:
first what js does menabsif tryskok
Answer:
well I can help you if I can get some more infomation
like whos him? weres his house how long is the distance between them?
Select the correct answer.
A home-based sign company uses this function to model its monthly profit, where x is the price of each sign it sells.
p(x) = -10x^2 + 498x - 1,500
what is the company's profit if it sells each sign for $20?
A. $18,020
B. $4,460
C. $14,420
D. $1,402
The profit made id each sign is sold for $20 is $4460
The profit model, P(x) = -10x² + 498x - 1,500
Where, x = price per sign sold
If the price per sign sold is $20. Hence, x = $20
The profit made can be calculated thus :
Put x = 20 in the profit function :
P(20) = -10(20)² + 498(20) - 1,500
P(20) = - 10(400) + 9960 - 1500
P(20) = - 4000 + 9960 - 1500
P(20) = $4,460
The profit made is $4,460
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Answer:
$4,460
Step-by-step explanation:
I got a 100% on my test
The number of newspaper subscriptions currently sold in a city is 15,895. The
number of newspaper subscriptions has been decreasing at a rate of 12.8% per year.
What is the best prediction for the number of newspaper subscriptions the company
will have in 5 years? Round answer to a whole number. Only type the number in the
blank, nothing else.
Answer:
About 8014 subscriptions.
Step-by-step explanation:
We can write an exponential function to model the situation.
The standard form of an exponential function is given by:
[tex]f(x)=a(r)^x[/tex]
The current newspaper subscriptions is 15,895. So, a = 15895.
It has been decreasing at a rate of 12.8% each year.
In other words, the number of subscriptions next year will be 100% - 12.8% = 87.2% or 0.872 of the previous year. Thus, r = 0.872.
So, our function is:
[tex]f(x)=15895(0.872)^x[/tex]
Where x is the time that has passed in years.
So the number of newspaper subscriptions after five years will be:
[tex]f(5)=15895(0.872)^5\approx8014\text{ subscriptions}[/tex]
The value of a angle
The sum of adjacent angles equals 180 degrees. Opposite angles are equal, so if you know the value of one angle, its opposite partner will have the same value. For example, if the value of one angle is 75 degrees its adjacent angle will be 105 degrees and its opposite angle will also be 75 degrees.
SOMEONE HELP ME ILL GIVE YOU 20 POINTS MATH
I cannot quite show this to you, but the coordinates are listed below. If you want to know how you would answer this type of question, read the following. The question is indicating that you must translate. This means to move the figure however many units. In this question, it says 5 units to the right and 4 units down. You would take the bolded point and drag it 5 to the right. Then, from that point, drag it 4 units down.
Point in original: (-7,3)
Point in final figure:(-2,-2)
Hope this helps!
Which expression is equivalent to?
Answer:
D
Step-by-step explanation:
multiply the inside by -0.5
Answer:
[tex]-3\left(x-2\right)[/tex]
Step-by-step explanation:
[tex]\frac{-1}{2}\left(6x-12\right)=\frac{\left(-1\right)\left(6x-12\right)}{2}==-\frac{\left(6x-12\right)}{2}=-3\left(x-2\right)[/tex]
QUICK If r+t = r and r−t = −s which of the following must be equal to t?
(A) −s
(B) −r
(C) 0
(D) r
(E) s
Answer:
C) 0
brainliest plz
The value of t on solving the equations r + t = r and r − t = − s is 0 and s + r so, option C is correct.
What is the equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given:
r + t = r and r − t = − s
Calculate the value of t as shown below,
t = r - r (Transform the equation as shown)
t = 0
-t = -s - r
t = s + r
Thus, the value of t can be 0 and s + r.
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Find the x-intercept of the following equation: 9x^2 + 2y=18
Step-by-step explanation:
To get the x-intercept, set y = 0. Then solve for x:
[tex]9 {x}^{2} = 18 \\ x = \sqrt{2} [/tex]
Therefore, the x-intercept is
[tex]( \sqrt{2} \: \: \: \: 0)[/tex]
WILL GIVE BRANLIST Probability Event:
You have a deck of 20 cards numbered 1-20. You draw a card from a deck and keep it. The next person draws another card. What is the probability you will both draw an even card?
Label the probability event above as either
A
Independent
B
Dependent
Answer:
9/38
Step-by-step explanation:
The odds of your drawing an even card from the deck are 10/20, or 1/2. The odds of your friend also taking an even card after (WITHOUT recplacing the card) is 9/19, which cannot be further simplified. You multiply the two -- 1/2 * 9/19 -- which results in your answer, 9/38. This is a dependent probability.
Answer this for 10 points
Answer:
Equations would be;
30 + 50 + y = 180
and
y = 180 - 80
Additional:
If you are looking for y and u value then here they are:
y = 100°
u = 25°
Hope this helps!
For x=4 the functiom f(x) =x2+bx+c has the minimum value of_9.find c
Answer:
[tex]c = 25[/tex]
Step-by-step explanation:
Vertex of a quadratic function:
Suppose we have a quadratic function in the following format:
[tex]f(x) = ax^{2} + bx + c[/tex]
It's vertex is the point [tex](x_{v}, y_{v})[/tex]
In which
[tex]x_{v} = -\frac{b}{2a}[/tex]
[tex]y_{v} = -\frac{\Delta}{4a}[/tex]
Where
[tex]\Delta = b^2-4ac[/tex]
If a>0, the vertex is a minumum point, that is, the minimum value happens at [tex]x_{v}[/tex], and it's value is [tex]y_{v}[/tex].
In this question:
[tex]a = 1[/tex]
Minimum value at [tex]x = 4[/tex] means that [tex]x_v = 4[/tex]. So
[tex]x_{v} = -\frac{b}{2a}[/tex]
[tex]4 = -\frac{b}{2}[/tex]
[tex]b = -8[/tex]
So
[tex]f(x) = x^2 - 8x + c[/tex]
Minimum value of 9:
[tex]y_v = 9[/tex]
So
[tex]y_{v} = -\frac{\Delta}{4a}[/tex]
[tex]9 = -\frac{\Delta}{4}[/tex]
[tex]-\Delta = 36[/tex]
[tex]\Delta = -36[/tex]
[tex]b^2 - 4ac = -36[/tex]
[tex](-8)^2 - 4c = -36[/tex]
[tex]-4c = -100[/tex]
[tex]4c = 100[/tex]
[tex]c = \frac{100}{4}[/tex]
[tex]c = 25[/tex]
Write an equation of the ellipse with foci at (+3,0) and co-vertices at (0, +-1).
Tammy harvested pounds of nuts from her pecan tree. If she divides the nuts into pound bags, how many bags will she have?
Answer: Tammy would have 9
Step-by-step explanation:
(6 3/4) / (3/4) =
= 27/4 / 3/4
= 27/4 * 4/3
= 27/3 * 4/4
= 9
x + 2.5 = 10
PLEASE ANSWER IMMEDIATELY!
Answer:
7.5
Step-by-step explanation:
x + 2.5 = 10
- 2.5 = - 2.5
x = 7.5
A large soup pot holds 10 gallons of soup. Jared has quarts of chicken broth. How many quarts of chicken broth will he need to fill the soup pot
Answer:
40 quarts
Step-by-step explanation:
1 gallon=4
4•10=40
A woman drives her car 180 miles in 3 hours. At this rate how far will she travel in 5 hours?
Answer:
288
Step-by-step explanation:
you would do 180 devided by 3 then multiply that number by 5
Select the correct answer.
Becky wants to make a sculpture in the shape of a rectangular prism for the science fair. The sculpture will be made of cubic foot of clay and will have a base area of square foot. How tall will the sculpture be?
A.
foot
B.
foot
C.
foot
D.
foot
E.
foot
The height of the rectangular sculpture is h = ( 20/21 ) feet
What is the Volume of a Rectangle?The volume of the rectangle is given by the product of the length of the rectangle and the width of the rectangle and the height of the rectangle
Volume of Rectangle = Length x Width x Height
Volume of Rectangle = Area of Rectangle x Height
Given data ,
Let the volume of the rectangular sculpture be V
Now , the value of V = ( 16/21 ) feet³
And , the base area of the rectangular sculpture B = ( 4/5 ) feet²
Volume of Rectangle = Area of Rectangle x Height
On simplifying , we get
The height of the sculpture h = ( 16/21 ) feet³ / ( 4/5 ) feet²
The height of the sculpture h = ( 20/21 ) feet
Therefore , the value of h is ( 20/21 ) feet
Hence , the height of the sculpture is ( 20/21 ) feet
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Chapter 4 Exam: Dimensional Analysis
question 10 of 10
10.)
A recycling company makes $500 per ton of aluminum scrap collected. If the company collects 200 pounds of aluminum scrap per day, how
many days are needed to make $2500? (Tip: One ton equals 2000 pounds).
Answer:
50 days are needed to make $2500.
Step-by-step explanation:
Number of tons per day:
One ton equals 2000 pounds, as the problem states as a hint.
The company collects 200 pounds per day.
1 ton - 2000 pounds
x tons - 200 pounds
2000x = 200
x = 200/2000
x = 0.1
0.1 tons per day.
A recycling company makes $500 per ton of aluminum scrap collected.
0.1*500 = $50 per day.
How many days are needed to make $2500?
1 day - $50
x days - $2500
50x = 2500
x = 250/5
x = 50
50 days are needed to make $2500.
A large hotel has 347 rooms. There are 7 floors, and each
floor has about the same number of rooms. About how many
rooms are on a floor?
Answer:
About 50 rooms on each floor because
Step-by-step explanation:
347÷7÷49
I rounded it up because the numbers kept going xD
If a 6.2% Social Security tax is applied to a maximum wage of $106,800, the maximum amount of Social Security tax that could ever be charged in a single year is: a. $213.60 b. $6,408.00 c. $6,621.60 d. $17,225.81
Answer:
Correct Answer:
C: $6,621.60
(EDGE 2021)
Step-by-step explanation:
The maximum amount of Social Security tax that could ever be charged in a single year exists $6,621.60.
What is Social Security tax?Social Security exists financed through a reliable payroll tax.
Knowing that a 6.2% Social Security tax exists applied to a maximum wage of $106,800, the maximum amount of Social Security tax that could ever be charged in a single year stands at $6,621.60. Social Security offers all but unemployment insurance.
Therefore, the correct answer is option c. $6,621.60
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28÷7×1/4
no links pls
Answer:
1 is the answer
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
first, you divide 28 by 7 and get 4, then multiply 4 by 1 which is 4, finally divide 4 from 4 with is 1
((28/7)*1)/4=1
add 10 to z, then double the result
Do not simplify any part of the expression.
2(z+10)
2z+20
Answer:
2z+20
I need help plz I have a time test plz
Answer:
interest = $600
Step-by-step explanation:
for simple interest,
I = PTR/100
Principal (P) = $5000
Time (T) = 3 YEARS
Rate(R) = 4%
therefore, Interest (I) = $5000 × 3 × 4 / 100
= $ 600
Multiply: (x + 3)(x – 4)
What is the middle term in the simplified product?
a) x
b) –x
c) 3x
d) -4x
Answer:
answers b is is correct ......
can anyone help me ?
Answer:
Table 3.
Step-by-step explanation:
How long does it take to double $1000 at an annual interest rate of 6.35% compounded monthly?
Answer:
63.5
Step-by-step explanation:
1000× 6.35 / 100 = 63.5
fasting for Amazon on the natural
What??????????????????
Find the next three terms of the arithmetic sequence 5, 11, 17, 23,...
29, 34,38
O 25,31,37
O 28, 33,38
O 29, 35, 41
Answer:
29, 35, 41
Step-by-step explanation:
The difference is always 6
In testing to see whether opinion with respect to the use of instant replay is independent of the category of the person interviewed, a chi-square test statistic of 27.99 and a p-value less than 0.001 were calculated. Which of the following statements is correct?
a. The number of degrees of freedom for the test is 8 - 1 = 7.
b. The chi-square test should not have been used because two of the counts in the table are less than 5.
c. The null hypothesis states that there is an association between category and opinion about the use of instant replay, and the small p-value suggests that the null hypothesis should be rejected.
d. The small p-value suggests that there is evidence of an association between category and opinion about the use of instant replay.
e. The chi-square test shows that fans favor the use of instant replay.
Answer: (D) The small p-value suggests that there is evidence of an association between category and opinion about the use of instant replay.
Step-by-step explanation:
From the P-value supplied, it shows that the researcher was 99% confident of the experiment and have 1% chance of error.
Given that the p-value less than 0.001 were calculated, it translates that there is a statistical dependency between the category of the people interviewed and opinion about the use of instant replay.
A jar contains five blue marbles and two red marbles. Suppose you choose a marble at random, and do not replace it. Then you choose a second marble. Find the probability of the following even
Both of the selected marbles are red
Answer:
[tex]\frac{1}{21} = 0.0476[/tex] probability that both marbles are red.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Find the probability that both of the selected marbles are red
First marble: 2 red from a set of 5 + 2 = 7
Second marble: 1 red from a set of 6.
So
[tex]p = \frac{2}{7}*\frac{1}{6} = \frac{2}{42} = \frac{1}{21} = 0.0476[/tex]
[tex]\frac{1}{21} = 0.0476[/tex] probability that both marbles are red.