Answer: 0.067
Step-by-step explanation:
Look at chart, go to the row for the z-column for -1.5 and then the column 0, this value is 0.0668 or 0.067.
The p-value of the test statistic is approximately 0.0668.
Given that,
Steven measured the weight of a random sample of 49 basset hounds.
The mean weight of the sample was 45.8 lbs.
The standard deviation of the sample was 3 lbs.
Steven used an alternative hypothesis that the true mean weight is less than 45.8 lbs.
Steven found the z-test statistic of -1.5.
Based on the information provided,
We can see that Steven has conducted a hypothesis test to determine whether the true mean weight of basset hounds is less than 45.8 pounds.
To calculate the p-value for this test statistic,
Use a standard normal distribution table to determine the area under the curve to the left of the z-score of -1.5.
Using a standard normal distribution table,
Find that the area to the left of -1.5 is approximately 0.0668.
This means that there is a 6.68% chance of getting a sample mean of 45.8 or less assuming that the true population mean is actually 45.8.
Alternatively, we can use a calculator to find the p-value.
Using a calculator, we would input the z-score of -1.5 and the degrees of freedom (which is n-1, or 48 in this case) into the calculator.
This would give us a p-value of approximately 0.0668 as well.
Thus,
The p-value of the test statistic is approximately 0.0668.
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Cait can bike 32 miles in the same amount of time that Carl can bike 24 miles. If Cait bikes 2 mph faster than Carl, how fast does Cait bike?
Let t = time in hrs for both to go 32 mi
Let s = Carl's speed in mi/hr
s + 2 = Caits speed in mi/hr
------------------------------------------------------------
Carl's equation:
(1) 24 = s · t
Cait's equation:
(2) 32 = (s+2) · t
-----------------------------------
(2) 32 = s · t + 2t
and
(1) s = 24/t
Plug (1) into (2)
(2) 32 = (24/t) · t + 2t
(2) 32 = 24 + 2t
(2) 2t = 8
(2) t = 4
and
(1) s = 24/4
(1) s = 6
The speed of Cait is 8 mph
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them. Variables are the name given to these symbols because they lack set values. We frequently observe constant change in specific variables in our day-to-day situations. But the need to depict these shifting values is ongoing. These values are frequently represented in algebra by symbols such as x, y, z, p, or q, and these symbols are known as variables. In order to determine the values, these symbols are also subjected to different addition, subtraction, multiplication, and division arithmetic operations.
Let x be the time in hours for both to go 32 miles
Let y be Carl's speed
Then Caits speed is = y+ 2
So, Carl's equation:
x y= 24
and, Cait's equation:
32 = (y+2) · x
32 = xy + 2x...............(1)
and, y = 24/x
Put the above value in equation (1)
(24/x) x + 2x = 32
2x+ 24 = 32
2x= 8
x=4
Also, y= 24/x= 24/4 = 6
Hence, speed of Cait is 8 mph
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i don't know how to do math lol
9514 1404 393
Answer:
(d) 9
Step-by-step explanation:
The relation you're supposed to apply here is ...
an exterior angle of a triangle is equal to the sum of the remote interior angles.
__
The exterior angle is 17x+7, and it is equal to the sum of the two marked angles inside the triangle.
17x +7 = 13x +3 +40
4x = 36 . . . . . . . . . . . . . subtract 13x+7 from both sides
x = 9 . . . . . . . . . divide both sides by 4
Write the quadratic equation that has roots (-1-square root 2)/3 and (-1+square root 2)/3 if its coefficient with x^2 is equal to... 1
9514 1404 393
Answer:
x² +2/3x -1/9 = 0
Step-by-step explanation:
The quadratic with roots p and q can be written as ...
(x -p)(x -q) = 0
x² -(p+q)x +pq = 0
For p=(-1-√2)/3 and q=(-1+√2)/3, we have ...
p +q = (-1-√2)/3 +(-1+√2)/3 = -2/3
pq = ((-1-√2)/3)((-1+√2)/3) = (1 -2)/9 = -1/9
Then the quadratic is ...
x² +2/3x -1/9 = 0
Maria import special clay pots from Brazil. A shipment of 50 pots cost her $350. She then sells the pots at local fairs and art shows. On her last shipment she made a profit of $750. (1) What is the cost of 1 clay pot? (2) what is the total amount of sell in order to make the profit? (3) How much does she need to sell each pot in order to make the profit?
Answer:
Q 1) 7$ Q 2) 50 Q 3) 15$
Step-by-step explanation:
1) The cost of 1 claypot = $7
2) Total amount sold to yield the given profit = $1100
3) Amount to sell each pot to make the given profit = $22
We are given that;
Cost of 50 pots = $350
1) Since 50 pots costs $350, the cost of one pot will be;Cost of 1 clay pot = 350/50 = $7 per clay pot
2) She made a profit of $750 on the 50 pots.This means amount she sold in order to make the profit will be;
$350 + $750 = $1,100
3) Since total amount she sold to make the profit is $1,100, then amount each pot was sold to yield that profit on the 50 clay pots will be;1100/50 = $22 per pot
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Give a pair of alternate interior angles, a pair of alternate exterior angles, and a pair of corresponding angles.
Answer:
Step-by-step explanation:
(a). Alternate interior angels:
∠3 and ∠5 ,
or
∠4 and ∠6 .
(b). Alternate exterior angels:
∠1 and ∠7 ,
or
∠2 and ∠8 .
(c). Corresponding angels:
∠1 and ∠5 ,
or
∠2 and ∠6 ,
or
∠3 and ∠7 ,
or
∠4 and ∠8 .
help maybe..? Please
Answer:
15.8
Step-by-step explanation:
First we need to round to the nearest tenth.
18.134 rounds to 18.1 (since it's closer to 18.1 than 18.2)
2.28 rounds to 2.3 (since it's closer to 2.3 than 2.2)
Then we subtract
18.1-2.3=15.8
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The numbers after rounding off to 10th place is :
[tex]18.134\rightarrow18.1[/tex][tex]2.28 \rightarrow2.3[/tex]now, their difference will be :
[tex]18.1 - 2.3[/tex][tex]15.8[/tex]someone help please!!
Answer: x=60 degrees
Step-by-step explanation: This triangle is an equilateral triangle, meaning all angles are equal. Since a triangle is 180 degrees total, 180 degrees/3 angles= 60 degrees each angle.
A child is spinning a rock at the end of a 2 foot rope at a rate of 180 revolutions per minute. What is the approximate linear velocity of the rock when it is released.
Answer:
A child is spinning a rock at the end of a 2-foot rope at the rate of 180 revolutions per minute (rpm).
Step-by-step explanation:
4.68x10^6x2.6x10^2
Please help
Hard question but took my time and i have come up with 1216800000
Can someone help in this ?
Answer:
Aalu le aalu
Step-by-step explanation:
baigan lele
Answer:
6
Step-by-step explanation:
-7+140/10-1 = 14-8=6
What is the length of the red line segment on the number line?
Answer:
The length is 8 because from mins 7 to 1 there a distance of 8
What is the effective annual rate for an APR of 15.80 percent compounded monthly?
Stoplight A changes color every 42 seconds and Stoplight B changes color every 30 seconds. Both stoplights changed color 10 seconds ago. After how many seconds will the stoplights change color at the same time again
Three strands of wire have a total length of
120 meters. One strand is twice the length of
the shortest strand, and the other strand is
three times the length of the shortest strand.
What is the length of the longest strand of
wire?
Answer: 20 Meters
Step-by-step explanation:
First strand: 2x (twice the length of the shortest strand)
Second strand: 3x (three times the length of the shortest strand)
Third strand: x (the length of the shortest strand)
All the strands: 2x + 3x + x
All the strands: 6x
6x = 120 meters
(DIVIDE BOTH 6 AND 120 BY 6)
x=20
THE LENGTH OF THE SHORTEST STRAND IS 20 METERS
Dan gets paid $46,925 a year. If he gets paid biweekly, how much does he make per pay period.
Answer:
$1804.81
Step-by-step explanation:
There are approximately 52 weeks in a year.
If he gets paid biweekly, he gets paid every 2 weeks.
52/2 = 26
He gets paid 26 times per year.
$46,925/26 = $1804.81
You ride your bike 1 3/10 mi to school. At the end of the day, you stop at a park on the way home. The park is 25 mi from school. Question : how far is the park from your house
Answer:
did u ever get the answer? if so what is it??
Step-by-step explanation:
1-56-3, what is the value of b?
-2
D-1
0 1
2
Answer:
A
Step-by-step explanation:
abcdefj tu madre
pls help im so desperatae
Answer:
7 years old
Step-by-step explanation:
Let Maggie's age be x
Let Maggie's brother's age be 4x-4
x+4x-4= 31
5x = 35
x = 7
PLS HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
How do I do 1 and 2
Because I don’t understand how too
WHATS THE SLOPE OF THE LINE HELP ILL GIVE BRAINLIEST
Answer:
-1/2
Step-by-step explanation:
the slope is crossing right about -1 but in the middle
Need answer please !!
Answer:
the circle is shades 28247252
#3 and 5 please
I don’t understand how to get them
Answer:
im bad with this kinda thing, just guess and start praying, goodluck
Step-by-step explanation:
HEYY I am posting random questions so whoever answers gets brainliest and a few points since the questions aren't hard!!
what is 600 x 75?
Answer:
45000
Step-by-step explanation:
Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!
Answer:
4500
Step-by-step explanation:
The customers of Rhythm Time, an online music service, downloaded 3,790 songs last year. This year, the number was 20% higher. How many songs did they download this year?
Answer:
It should be 4,548
Step-by-step explanation:
Answer:
25 baby
Step-by-step explanation:
need help in pre algebra plz
The first one is d I believe and The second is B and C
I dont know the rest
You want to take out a $222,000 mortgage (home loan). The interest rate on the loan is 5.9%, and the loan is for 30 years. Your monthly payments are $1,316.76. How much will still be owed after making payments for 20 years? Round your answer to the nearest dollar.
f(x)=2x-1 and g(x)=6x-2. Write a formula for (fg)(x)
solve 124.01 plus 12.001
Answer:
136.011
Step-by-step explanation:
124.01 + 12.001= 136.011
Hope this helps!
Answer:
136,011
Step-by-step explanation:
124,01 + 12,001
= 136,011
Hi I need help if you know the answer pls tell me I don’t want any random answer because I’m gonna fail my class if I get a random
Answer