o put on Your Thinking Cap!
$ Challenging Practice
1.
Michelle got an average score of 80 on two tests. What score must
she get on the third test so that her average score for the three tests
is the same as the average score for the first two tests?
Answer:
Michelle must get an 80 on her next test to keep her average score.
Step-by-step explanation:
Since Michelle got an average score of 80 on two tests, to determine what score she must get on the third test so that her average score for the three tests is the same as the average score for the first two tests, the following calculation must be performed:
X / 2 = 80
X = 80 x 2
X = 160
X x 3 = 80 x 3
X x 3 = 240
X = 240/3
x = 80
So, Michelle must get an 80 on her next test to keep her average score.
A school district is considering moving the start of the school day at Groveland High from 8:00 a.m. to 9:00 a.m. to allow students to get more sleep at night. They want to estimate how many more hours of sleep teens get if their school starts at 9:00 a.m. compared to teens whose schools start at 8:00 a.m. The district takes random samples of 50 of students from Groveland High and 39 students from Phillips High School, which starts at 9:00 a.m., and surveys them about their sleep habits. The sample mean number of hours of sleep per student at Groveland is 7.1 hours, and the standard deviation is 1.7 hours. At Phillips, the sample mean is 8.3 hours of sleep, with a standard deviation of 1.9 hours. What is the 90% confidence interval for the difference in mean hours of sleep for students at the two high schools
Answer:
The answer is "[tex]\bold{(7.1-8.3) \pm 1.665 \sqrt{\frac{(1.7)^2}{50}+\frac{(1.9)^2}{39}} }\\\\[/tex]"
Step-by-step explanation:
Given values:
[tex]\bar{x_1}=7.1\\\\\bar{x_2}=8.3\\\\s_1=1.7\\\\s_2=1.9\\\\n_1=50\\\\n_2=39[/tex]
Using formula:
[tex]\to (\bar{x_1} -\bar{x_2}) \pm t \sqrt{\frac{(s_1)^2}{n_1}+\frac{(s_1)^2}{n_2}} \\\\[/tex]
Put the values in the above formula:
[tex]\to (7.1-8.3) \pm 1.665 \sqrt{\frac{(1.7)^2}{50}+\frac{(1.9)^2}{39}} \\\\[/tex]
Draw a square that has (-2,4) and (3,-1) as two of its vertices
Answer:
square with (-2,4) and (3,-1) vertices
Classify the triangle as acute, obtuse, or right based on the given side
lengths. *
8, 17, 19
Acute
Obtuse
Right
Answer:
Obtuse
Step-by-step explanation:
Pythagorean thm:
a² + b² = c²
8² + 17² = 19²
64 + 289 = 361
353 = 361
Since c (the hypotenuse) is bigger than the legs combined, the triangle is obtuse.
How to find rate of change on a table
Answer:
__X__l__Y_
1 l 3
5 l 6
9 l 9
13 l 12
17 l 15
21 l 18
On the right side, the numbers get larger by adding three each time. On the left side, the numbers get larger by adding 4 each time. It would be the same for any other pair of numbers when you add 4 to the left, and 3 to the right. For instance, the next pair would be (25 , 21). 25 would be the X value, and 21 would be the Y value.
This test will not impact your grade.
Exam
5
Shot
1.38
Find the missing side. Round
to the nearest tenth.
S
02
17
у
SC
440
Х
x= [?]
Enter
Answer:
if i am not wrong is 119
Step-by-step explanation:
I did it like this:
I took 44 + 17= 61
And then I took 180-61= 119
What is the composition of transformations mapping ABC to A'B'C"? The first transformation is The second transformation is AABC is AA'B"C".
Answer:
The first Transition is a reflection over the line M
The second transition is a 180 degree rotation.
Step-by-step explanation:
2^3=4^p find the value of p
Answer:
Exact form: p= 3/2
Decimal form: p= 1.5
Mixed Number: p=1 [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Tom has seven blue Margaret Benny has four blue how many blue mop with two they have in all
Answer:
11
Step-by-step explanation:
Answer:
11
Step-by-step explanation:
7+4=11
Question 10 of 10
What is the equation of the following line? Be sure to scroll down first to see
all answer options.
5
(-3,1)
(0,0)
5
-5
O A. y=-x
O B. y= 3x
O C. y=1
Х
O D. y= x
O E. y=-3x
O F. y = x
9514 1404 393
Answer:
D. y = -1/3x
Step-by-step explanation:
The line through the origin means the equation will be a proportion of the form y = kx. (You can also see this by looking at the answer choices.) The value of k is ...
k = y/x . . . . . divide the above equation by x
For the given point (x, y) = (-3, 1), the value of k can be seen to be ...
k = 1/-3 = -1/3
Then the equation for the line is ...
y = -1/3x . . . . matches D
¡4 = -1
O True
False
Answer:
Apparently that's false because 4 does not equal -1, 4 is totally 10 times greater than -1
Hopefully that helps
Step-by-step explanation:
BRAINLIEST FOR CORRECT ANSWER, IM FAILING SCHOOL AND NEED HELP ASAP. EVEN OFFICIAL HELP COUNTS
Answer:
x=76
Step-by-step explanation:
The two marked angles are alternate angles, which means they're equal.
Answer
76%
Step-by-step explanation:
I think its defiantly not 104 because its smaller than 90% and not 41% because that's to small same with 67% so it is 76%
A geology teacher takes her class on an annual field trip to analyze rock samples. They use randomized sets of
coordinates to select samples from two regions.
Suppose they examine a sample of 70 rocks from region A, which is composed of 15% igneous rock. Then they
examine a sample of 60 rocks from region B, which is composed of 20% igneous rock. Then they look at the
difference between the sample proportions (PA - B).
What are the mean and standard deviation of the sampling distribution of pA - PB?
I NEED HELP ASAP PLEASEEEE!!!!! Given the cube, what is the total surface area and volume?
Answer:
864
Step-by-step explanation:
144x6
Answer:
b
Step-by-step explanation:
Help please will mark brainliest
Answer:
9.9
Step-by-step explanation:
4.8 x 2 = 9.6
29.5 - 9.6 = 19.9
19.9/2 = 9.95
round up
9.9
Answer:
10 I think
Step-by-step explanation:
Corresponding Angles are congruent.
Which angle corresponds with <3?

Answer:
<5
Step-by-step explanation:
angle correspondant
surface area of a pyramid
WILL GIVE BRAINLIEST TO FIRST TO ANSWER CORRECTLY
Find the surface area of the pyramid. Round to the nearest tenth if necessary.
12.25 in.
15.75 in.
15.75 in.
in^2 = ?
Answer:
633.9 in.²
Step-by-step explanation:
Surface Area = Base Area + ½(Perimeter of Base)(slant height)
Base area = s² = 15.75² = 248.0625 in.²
Perimeter = 4(15.75) = 63 in.
Slant height = 12.25 in.
Surface area = 248.0625 + ½(63)(12.25)
= 633.9375 ≈ 633.9 in.² (nearest tenth)
Using the Zero Factor Property, solve (2x + 1)(x - 6) = 0.
Answer:
1 2/3 or 1.67
Step-by-step explanation:
(2x+1)+(x-6)=0
Remove parenthesis.
2x+1+x-6=0
Rearrange to make life temporarily easier.
2x+x+1-6=0
Now combine like terms.
3x-5=0
Add 5 to cancel it out.
3x-5=0
+5 +5
3x=5
Divide 3 from both sides to cancel that out.
3x=5
/3 /3
x=5/3 or 1 2/3
So the answer is 1 2/3 or 1.67
---
hope it helps
What is the radius of a circle that has an approximate circumference of 81.64 meters? (Use 3.14 for ).
r =
m
Answer:
r=13
Step-by-step explanation:
81.64/3.14=26(diameter)
26/2=13(radius)
help plssssssssssssssssss
Answer:
3) Not equivalent
4) Equivalent
5) Equivalent
(Multiply by two for the last two questions)
Missing length..Area 90mm to the second power with base at 10mm. What is the millimeters
Answer:
5
Step-by-step explanation:
What are equivalent expressions for
3 (y + 1) + 4 + 3y
Answer:2yu
Step-by-step explanation:if you see this hi
Which expression is equivalent to xy^2/9?
9514 1404 393
Answer:
the correct answer is marked
Step-by-step explanation:
The denominator of a fractional exponent becomes the index of the radical when the power is written using a radical. The fractional power only applies to the y-factor, so that is all that is under the radical.
[tex]\displaystyle xy^{\frac{2}{9}}=x\cdot (y^2)^{\frac{1}{9}}=\boxed{x\sqrt[9]{y^2}}[/tex]
ASAP HELPPP NO LINKS! IF THIS IS A FALSE RESPONSE I AM REPORTING
A water cooler in the school office dispenses cone-shaped paper cups. The height of a cup is 5 inches and it has a radius of 2 inches. How many cubic inches of water will it take to fill up the paper cup? Round your answer the nearest hundredth.
Answer:
37.699 cubic inches of water
Step-by-step explanation:
Volume of a cone is V= 1/3 pi r^2 h
We are given that the height is 5 in and the radius is 2 in.
Plug that into the formula: V= 1/3 pi 2^2 9
1/3 x 4 x 9 = 12
Now we are left with 12 pi.
Use a calculator and multiply 12 by pi to get:
37.699
How do you write an equation in slope-intercept form for the line through the given points (8, 10) and (14, 13)
Answer:
y=1/2x+6
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(13-10)/(14-8)
m=3/6
simplify
m=1/2
y-y1=m(x-x1)
y-10=1/2(x-8)
y=1/2x-8/2+10
y=1/2x-4+10
y=1/2x+6
If 10 miles≈16 km, about how many miles would be equal to 92 km? Show how you decided.
Answer:
57.5 miles
Step-by-step explanation:
10 mi : 16 km
x mi : 92 km
(10)(92) = (16)(x)
920 = 16x
57.5 = x
A store sells nine types of cell phones. There are four colors of each type.
How many different options does a customer have when buying a cell phone at the store? HELP
Answer:
36
Step-by-step explanation:
nine times 4 is 36 making it 36 options to choose from
hope this helps! :)
HELP QUICK & NOW PLS
Trapezoid ABCD is inscribed in circle O. Diagonals BD and AC meet at point E and AD is
parallel to BC, as shown.
Select the angles and value that
make a true statement about
trapezoid ABCD.
(fill in equation to the right pls)
Answer:
I think this would be,
ADE = 180- BCE
I am not sure if this is the right answer, and i am sorry if the answer is wrong, i am just learning about this topic.
Answer:
m<ADC= 180-m<ABC or m<ABC=180-m<ADC
Step-by-step explanation:
Firstly, we need to establish that trapezoid ABCD is an isosceles trapezoid. By doing so, we know that angles opposite one another in an isoseles trapezoid are supplementary. As a result, m<ACD+m<ABC= 180. We can now solve for angle ACD or ABC.
Can someone help me!
Answer:
m∠A = 48.81°
Step-by-step explanation:
Given triangle is a right triangle and we have to measure ∠A.
Since, opposite side and adjacent sides of angle A has been given
So we will apply tangent rule to get the measure of angle A.
tan(∠A) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
tan(∠A) = [tex]\frac{8}{7}[/tex]
∠A = [tex]\text{tan}^{-1}(\frac{8}{7})[/tex]
∠A = 48.814
≈ 48.81°
Please help me. There are 25 students in Mrs. Benatar‘s class at the beginning of the school year, and the average number of siblings for each student is three. A new student with eight siblings join the class in November. What is the new class average for number of siblings? Round your answer to the nearest hundredth.
Answer: 3.19
Step-by-step explanation:
So to find the average I used a simple but pretty effective method
3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+8/26=3.1923
So the new average is 3.19