The test statistic and p-value of the given data are 6.274 and 0.0001 respectively.
Test StatisticThe test statistic can be calculated using the formula below
[tex]t = \frac{x-\mu}{\sigma / \sqrt{n} }[/tex]
Solving for the mean and standard deviation, we can substitute the values into the above equation which will be
[tex]t = \frac{x-\mu}{\sigma / \sqrt{n} } = 6.274[/tex]
P-ValueUsing the data from the test statistic, we can calculate the p-value of the data
[tex]p-value = p(z < 6.274)= 0.0001 = 0.00[/tex]
From the calculation above, the test statistic and p-value of the given data are
6.2740.0001Learn more on test statistic and p-value here;
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Mr. Torres has a class of 17 students. He can spend $24 on each student to buy math supplies for the year. He first buys all of his students calculators, which
costs a total of $77.35. After buying the calculators, how much does he have left to spend on each student?
Answer:
She has a class of 17 kids. At $24 each, she can spend 17*$24 = $408. Since she spent $125.36, she has $408 - $125.36 = $282.64 left to spend.
Step-by-step explanation:
i need help on this badly
Answer:
shorter than, shorter than, will not
Step-by-step explanation:
First, we can find out the diagonal of the base of the box using Pythagoras' theory - a² + b² = c²
32² + 8² = 1088
c = √1088 = 32.984845
This means that the diagonal of the base of the box is shorter than the bat (32.984845 is less than 34)
Next, we can work out the interior diagonal, again using Pythagoras' theory - a² + b² = c²
32.984845² + 6² = 1124
c = √1124 = 33.52610923
This means that the length of the interior diagonal of the box is shorter than the bat (33.52610923 is less than 34)
Therefore, Julian's bat will not fit in the box.
Hope this helps!
Simplify the expression.
Answer:
the answer is
[tex] \frac{12 {c}^{8} }{ {d}^{2} } [/tex]
Step-by-step explanation:
[tex] \frac{12}{ {c}^{ - 8} {d}^{2} } [/tex]
5. The sports store sold three times as many basketballs as footballs last month. If they sold
140 fewer footballs than basketballs, how many of each type of ball did they sell last
month?
Answer:
basketballs = 210 footballs = 70
Step-by-step explanation:
footballs =b
basketballs= 3b
if there ate 140 fewer footballs than basketballs it means that the difference between basketballs and footballs sold is 140
hence 3b - b = 140
2b= 140
b= 70
hence footballs are 70
while basketballs are 70×3 = 210
Amanda and her little brother each throw a model airplane at the same time, but from different heights on the playground. The functions h(x) = -16x2 + 24x + 40 and g(x) = -16x2 + 10x + 21 represent the heights of Amanda's plane and her brother's plane, respectively, x seconds after the planes are thrown.
Which of the following statements is true?
Amanda's brother's model airplane will stay in the air for 3 seconds longer than Amanda's model airplane.
Amanda's brother's model airplane will touch ground 2 seconds earlier than Amanda's model airplane.
Amanda's model airplane will touch ground 4 seconds earlier than Amanda's brother's model airplane.
Amanda's model airplane will stay in the air for 1 second longer than Amanda's brother's model airplane.
Consider the sequence below:
-9, -6, -1, 6, 15 …
What is the 8th term of the sequence?
if a number is added by 2 the answer is10 find the number
For which values of x is the expression undefined
Answer:
x = ±1
Step-by-step explanation:
x² - 1 = 0
x² = 1
x = ±1
I hope this helps!
-
The expression (3 - 7i)^2 equivalent to
Answer:
-40-42i
Step-by-step explanation:
9-42i+49i^2=9-42i-49=-40-42i
Find a polynomial f(x) of degree 5 that has the following zeros -1,4,2,0,3
Answer:
Given that f(x) contains the discrete points of{(0, 3), (1, 4), (2, 0), (3, 1), (4, 2)}, the value of (f of)(0) is5.
A circle has a donated of 4.5cm a larger circle has a diameter of 24cm what is the aporximent diffrent in the circumference of the two circles
Answer:
difference ≈ 61.3 cm
Step-by-step explanation:
the circumference (C) of a circle is calculated as
C = πd ( d is the diameter ) , then
difference = 24π - 4.5π = 19.5π ≈ 61.3 cm ( to 1 dec. place )
The probability distribution for a random variable x is given in the table.
(see image)
Find the probability that x<-3
Answer:
30%
Step-by-step explanation:
The sign means that x can be equal to or LESS than -3. The only ones are -3 and -5. 0.17+0.13=0.30
The function f(x)=(2)(1.0)+x(0.5)2+x models the concentration of pineapple when 2 gallons of pineapple juice are added to x gallons of another juice. Find the concentration of pineapple when 2 gallons of pineapple juice are added to 3 gallons of the other juice. Give the answer as a percent but do not include the percent sign (%).
The concentration of pineapple when 2 gallons of pineapple juice are added to 3 gallons of the other juice is 5.75
Functions and valuesGiven the functions that model the concentration of pineapple when 2 gallons of pineapple juice are added to x gallons of another juice as:
f(x)=(2)(1.0)+x(0.5)²+x
If the concentration of pineapple when 2 gallons of pineapple juice are added to 3 gallons of the other juice, then;
f(3) = (2)(1.0)+3(0.5)²+3
f(3) = 2.0 + 3.75
f(3) = 5.75
Hence the concentration of pineapple when 2 gallons of pineapple juice are added to 3 gallons of the other juice is 5.75
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A simple random sample of 49 8th graders at a large suburban middle school indicated that 89% are involved in some type of after school activity. Find the 95% confidence interval that estimates the proportion of them that are involved in an after school activity.
A. [0.722], [0.978]
B. [0.802], [0.978]
C. [0.702], [0.928]
D. [0.802], [0.778]
E. [0.852], [0.857]
F. None of the above
Answer:
B. [0.802], [0.978]
Step-by-step explanation:
n=49
p=.89
confidence level of 95% has a z value of 1.960
z*= 1.960
z*=qnorm(1.95/2)
p+/-z* multiplied by sqrt[ P * ( 1 - P ) / n ]
p+/-z*times(√(p)(1-p)/n)
.89+/-1.960* (square root of (.89)(.11)/49))
calculatornetconfidenceintervalcalculatorhtml
mathuheducathyMath2311TestsTest2032311PT3helppdf
What is the value ofthe expression 1 2 (m-4).. when me 12 and na 3 4 OA) ? OB) 1 OC) 2 OD)
HELP ASAP
1 is the answer......
WHATS UP KID
3⁄4 of 2⁄3 =? givin brainliest
Answer:
1/2
Step-by-step explanation:
3/4 of 2/3 = 3/4 × 2/3 = 6/12 = 1/2
What is the value of the x-coordinate of point A?
Answer:
(1/2,square root 3/2) is the answer
What is the solution to 2x + 5 = 6x – 5? Show your work.
Answer:
2x - 6x = -5-5
-4x = -10
4x = 10
x = 10/4
Therefore, x= 5/2.
find the value of x?
Answer:
x = 63 units
Step-by-step explanation:
130 tan 39 = entire L side
130 tan 39 - 130 tan 18 = x = 63
The elevation of Death Valley is -86 meters. Which equation shows how many meters below sea level Death Valley is located? Group of answer choices |-86| = 86 |-86| = - 86 |86| = -86 |86| = 86
Answer:
|-86| = 86
The absolute value of -86 is 86!
Tip : The absolute value is always positive.
Answer:
|-86| = 86
Step-by-step explanation:
What is the circumference in centimeters, of the circle?
Use 3.14 for TT
Step-by-step explanation:
the full question please
Solve all this
1) 2x-8=11x-10
2)6x-6=3x+1
3)1/2x+4=1/3x+1
4)-2/5x+1/3=1/2x+1/4
5)5/3x2=1/2x-2/3
Answer: hii :)
1. 2x-8=11x-10 = 2/9
2. 6x-6=3x+1 = 7/3
3. 1/2x+4=1/3x+1 = -18
4. -2/5x+1/3=1/2x+1/4 = 5/54
5. I dont know the answer to <3
Step-by-step explanation:
Hopefully this helps you,
Sorry for being late on the question.
- Matthew
What's the difference between arithmetic and geometrical sequence with examples please.
Answer:
An arithmetic sequence has a constant difference between each consecutive pair of terms. This is similar to the linear functions that have the form y=mx+b. A geometric sequence has a constant ratio between each pair of consecutive terms. This would create the effect of a constant multiplier.
-- Credit -- libretexts
Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!
Answer:
An arithmetic sequence is a sequence with the difference between two consecutive terms constant. The difference is called the common difference. A geometric sequence is a sequence with the ratio between two consecutive terms constant. This ratio is called the common ratio.
Step-by-step explanation:
A battery for an underwater drone is in the shape of a square prism is designed to draw in
searates that is then used to produce energy. The base of the battery has soe lengths of 15 centimeters and the heght of the
bertery is 10 centimeters. Find the volume of the battery.
Answer:
2250 cm^3
Step-by-step explanation:
Volume of sq prism - Base x Base x Height
15 x 15 x 10 = 2250
The numbers 32 and 12 are each rounded to the nearest ten and then multiplied to estimate the product. What is the best estimate of 32 × 12 based on this method?
Answer:
300
Step-by-step explanation:
32 rounds to 30.
12 rounds to 10.
30 × 10 = 300
Answer: 300
Answer:
[tex]beinggreat78~here~to~help.[/tex]
So the method is clearly stating that we need to round to the nearest ten, so let's round using the rule set.
If the number is below 5, round down.If the number is 5, round up.If the number is above 5, also round up.This array should help you vision the sequence better.
⇒ [tex]\left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right][/tex]
Now, using the rounding ruleset, we have to find what to round to. Since 32 and 12 both have a ones digit below 5, we round down, meaning we now have 30 and 10. The last step is to multiply 30 by 10 to get your estimate.
[tex]30[/tex]
[tex]*~10[/tex]
▬▬
[tex]300[/tex]
With this information, your answer is 300(rounded to nearest ten)!
Veronica wants to convert 108 inches to feet. What does she need to do?
Answer:
Divide 108 by 12 since there are 12 inches in a foot.
108 ÷ 12 = 9
Veronica needs to divide 108 inches by 12 to get 9 feet.
To convert inches to feet, Veronica needs to divide the number of inches by 12, as there are 12 inches in a foot.
Given that Veronica wants to convert 108 inches to feet, she should perform the following calculation:
108 inches ÷ 12
= 9 feet
Therefore, Veronica needs to divide 108 inches by 12 to get 9 feet.
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List three numbers that are less than -7
Answer:
Step-by-step explanation: first one way that you can answer this question is to use a numberline, so you start at zero and go to the left of the numberline and the numbers behind -7 would be -8,-9, and or ,-10 they are all less than negative seven
A local restaurant uses a computer to randomly select an appetizer and accompanying sauce. The table below shows all the
possible outcomes when ordering
What is the probability of receiving chicken or ribs and getting a red sauce?
Answer:
B 1/5
Step-by-step explanation:
there is 20 combinations
4 of the twenty are ribs or chicken with a red sauce
4/20 = 1/5
(x – 5)² + (y + 11)² = 49
a. What type of conic is this?
b.What is the center?
c. What is the radils?
d. What is the area of this shape?
Help pleaseee
Answer:
See below for answers and explanations
Step-by-step explanation:
Part A
The equation is in the form of [tex](x-h)^2+(y-k)^2=r^2[/tex], which happens to be the equation of a circle
Part B
For the equation of the circle, its center is at [tex](h,k)\rightarrow(5,-11)[/tex]
Part C
Since [tex]r^2=49[/tex], then the radius of the circle is [tex]r=7[/tex]
Part D
The area of a circle is [tex]A=\pi r^2[/tex], so the area is [tex]49\pi[/tex] square units.
y + 9 * 3 / 4
3/4 is the fraction
Answer:
y+6.75
Step-by-step explanation:
Answer: y+6.75
Follow Order of Operations
y+9*3/4
9*3/4 = 6.75
y+6.75
