Answer:
The Z-score for an ACT score of 26 is 1.26
Step-by-step explanation:
According to the Question,
Given that, In a particular year, the mean score on the ACT test was 19.3 and the standard deviation was 5.3, The mean score on the SAT mathematics test was 532 and the standard deviation was 128.Problems of normally distributed samples(bell-shaped) can be solved using the z-score formula. In a set with mean and standard deviation, the z score of a measure X is given by
Z = (X-μ) / σ
the z-score for an ACT score of 26. In a particular year, the mean score on the ACT test was 19.3 and the standard deviation was 5.3.So, Z = (X-μ) / σ
Z = (26 - 19.3) / 5.3
Z = 1.26
The Z-score for an ACT score of 26 is 1.26
HELP ASAP!!!
(Question and answers pictured)
9514 1404 393
Answer:
(d) reflection about the x-axis, up 6 units
Step-by-step explanation:
The parent function y=1/x is multiplied by -1, which reflects it over the x-axis. Then 6 is added, which shifts it up 6 units.
The transformations are ...
reflection about the x-axis, up 6 units
Solve the followinginequality forz:
z-b<2
A. 2+b
B. 2+b>z> 2-a
C. 2+2 > z>b-a
D. z> a +b-2>Z
E. 2+b>z< 2-a
F. None of the above
Answer:
[tex]2 + b >z > 2 -a[/tex]
Step-by-step explanation:
Given
[tex]z - b < 2 < a + z[/tex]
Required
Solve for z
Split the inequality
[tex]z - b < 2[/tex] or [tex]2< a + z[/tex]
Make z the subject
[tex]z < 2 + b[/tex] or [tex]2 - a < z[/tex]
Rewrite as:
[tex]2 + b >z[/tex] or [tex]z > 2-a[/tex]
Combine the inequalities
[tex]2 + b >z > 2 -a[/tex]
Which of the following are true statements using the Associative Property of Multiplication?
(a – b) – c = a – (b – c)
a(b + c) = ab + ac
a(bc) = (ab)c
(a + b) + c = c + (a + b)
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Answer:
a(bc) = (ab)c
Step-by-step explanation:
The associative property of multiplication says the product is the same regardless of how the factors are grouped. That is demonstrated by the equality ...
a(bc) = (ab)c
Plss help Will give brainiest if right!!
Translate to algebra: the quotient of 5 more than a number y and
3 times less than a number x .
Answer:
[tex]\frac{y+5}{\frac{1}{3}x}\text{ or }{\frac{3y+15}{x}[/tex]
Step-by-step explanation:
The quotient of two numbers [tex]x[/tex] and [tex]y[/tex] can be written as [tex]\frac{x}{y}[/tex], the first number mentioned being the numerator.
In this case, the first value mentioned is 5 more than a number y, which can be represented as [tex]y+5[/tex]. This is our numerator.
The second value mentioned is 3 times less than a number x, which can be represented as [tex]\frac{1}{3}x[/tex] or [tex]\frac{x}{3}[/tex]. This is our denominator.
Thus, the quotient of these two numbers is [tex]\frac{y+5}{\frac{x}{3}}=\frac{y+5}{1}\cdot \frac{3}{x}=\frac{3(y+5)}{x}=\boxed{\frac{3y+15}{x}}[/tex]
Answer:
3 x times tens equal 11 you need to divide
find the mesure of angle b
Answer:
It's C
Step-by-step explanation:
because there is a 90 degrees sigh behind it and those two angles need to add up to 90
Answer:
31
Step-by-step explanation:
b+59=90
b=90-59
b=31
hope it helps
Please help I need your math skills I need to answer this or my teacher won’t add my picture in the year book slide-show!
A answer b B answer c
Step-by-step explanation:
Joseph has 22 gallons of fertilizer. He uses 7 quarts to fertilize his plants.
How many quarts of fertilizer are left?
Answer:
81
Step-by-step explanation:
4 quarts = 1 gallon
there are 22 gallons so multiply 4 by 22
that equals 88 quarts then subtract 7
leaving you with 81 quarts
Find the value of 9²
The total number of goals scored in a hockey game was 20. Team B scored 4 more goals than team A. How many goals did each team score?
Answer:
Team B 12 goals, Team A 8
Step-by-step explanation:
Equation 2x +4 = 20
2x = 16
x= 8
Answer:
A:8 B:12
Step-by-step explanation:
3x(x-y)-p(y-x) factorise by taking out the common factor
Answer:
Rewrite as
3x(x-y) -p[-(x-y)]
We factored out a minus from the second bracket. I chose the second bracket arbitrarily... You can chose the 1st bracket if you want.
Now when those two minus interact... They became Positive(From rules of sign Multiplication)
3x(x-y) + p(x-y)
Now factor out (x-y) from both
(x-y) [ 3x + p]
So that's our answer!!
(x-y)[ 3x + p ].
Number 8 please divide 12/340
Read the sentence.
This is an example of a
Brendan is playing in the backyard.
O simple sentence.
O compound sentence.
O complex sentence.
O compound-complex sentence.
Answer:
I think it's simple sentence
Seven times a number decreased by three-fourths of the same number is 25. What is the number?
Answer:
The number is four (4)
Step-by-step explanation:
look at the picture above, it explains everything
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
I say number 2 idrk so I hope I helped >-<
The following are the Pulse Rates of the 12 students in a Math Class
76 60 59 60
81 72 91 80
80 68 73 77
If we create Classes for a relative frequency distribution.
For the Class 50-59 , find the frequency
Answer:
1
Step-by-step explanation:
Given the pulse rate for 12 students :
76 60 59 60 81 72 91 80 80 68 73 77
Creating class intervals ::
Width = 10
59, 60, 60, 68, 72, 73, 76, 77, 80, 80, 81, 91
Interval ____ Frequency
50 - 59 ______ 1
60 - 69 ______ 3
70 - 79 ______ 4
80 - 89 ______ 3
90 - 99 ______ 1
Frequebcy if the 50 - 59 class interval is 1
QUESTION AT THE BOTTOM MAKE SURE YOU KNOW THE ANSWER FIRST PLAESE
Answer:
V=πr2h /3
so we just substate and we get
V≈130.9
Answer: 130.83 units cubed
Step-by-step explanation:
The formula for finding the volume of a cone is [tex]\pi r^2\frac{h}{3}[/tex]
We will use 3.14 for pi.
[tex]3.14r^2\frac{h}{3}[/tex]
Now let's sub in our variables and solve
[tex]3.14(5^2)(\frac{5}{3})\\3.14(25)(\frac{5}{3})\\78.5(\frac{5}{3})\\130 \frac{5}{6}[/tex]
5/6 is about .83
130.83
what is (2²)×(2²)‐³ when simplified
Step-by-step explanation:
Everything has been written ..
Help me pls find this answer I doubt mine is right
Answer:
whats the question?
comment so i can help:)
the washington monument in washington d.c is 555 feet tall. If a tourist sees the monument with a viewing angle of 8, how far away, to the nearest foot, is she from the monument?
Answer:
3,964 ft
Step-by-step explanation:
555 / tan 8° = 555/0.14 = 3,964 ft
using long division what is the quotient of this expression?
Answer:
A
Step-by-step explanation:
Answer:
Answer is A
Step-by-step explanation:
Classify the angle pairs
Answer:
Alternate exterior
Step-by-step explanation:
Angles 2 and 7 are on exterior sides of the transversal and also are opposite to one another. They are classified as alternate exterior.
Answer:
alternate exterior angles
Step-by-step explanation:
2 and 7 are on opposite sides of the transversal so they are called alternate
They are on the outside of the parallel lines so the are called exterior
What is the area, in square units, of triangle STU?
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Answer:
14.5 square units
Step-by-step explanation:
There are several methods for finding the area of an acute scalene triangle with mostly irrational side lengths. Here's one.
Define X(4, 2) and Y(9, 2). The trapezoid XUTY has bases XU=9-2=7 and TY=6-2=4. Its height is XY=9-4=5, and its area is found from the formula ...
A = 1/2(b1 +b2)h
A = 1/2(7+4)(5) = 55/2 = 27.5
The area of our triangle is this trapezoid's area less the areas of triangles XUS and YTS. Those areas can be found from the formula ...
A = 1/2bh
∆XUS area = 1/2(2)(7) = 7
∆YTS area = 1/2(3)(4) = 6
So, the area of ∆STU is ...
area STU = area XUTY -area XUS -area YTS = 27.5 -7 -6
area STU = 14.5 . . . square units
Answer:
the Guy above me is right ig....... To solve the problem just find the length of the 2 shorter sided than add an exponent of 2 to all the numbers, then add, then square it
Step-by-step explanation:
x^ 3 + 3 x ^ 2 - 9 x - 27 draw the graph of the first derivative and the second derivative on the same set
Answer:
The graph is in the second attached image.
Step-by-step explanation:
In the first attached image, you have three equation graphed, the first is in red color, it's the original equation:
x^3 + 3x^2 - 9x - 27I graphed this to obtain a clear relation between the equation and its derivatives, the second graphed equation is in blue color and it's the first derivative:
First derivative = 3x^2 + 6x - 9 (It's a parabola)And at last, we have in green color the second derivative:
Second derivative = 6x + 6 (It's a line)As you can see, you only need the first and the second derivatives in the exercise, by this reason, in the second attached image you have the graph as you need to show in this exercise.
give one example of the following properties for whole number under addition
Step-by-step explanation:
Objective: Recall the properties.
a) 3+1=4
b) 3+7=7+3
c) 3+(7+4)=7+(3+4)
d). 3(7+4)=(3×7)+(3×4)
About 5% of the population has a particular genetic mutation. 200 people are randomly selected.
Find the mean for the number of people with the genetic mutation in such groups of 200.
Answer:
ok 200 we have to find 5% of 200 so since 200 is doable 100 we just multiply 5 by 2 to get 10
so out of the 200 people 10 of them have the mutation
Hope This Helps!!!
3.(8 points)Consider the following experiment:Experiment: A bag contains 3 red balls, 4 blue balls, 4 green balls and 3yellow balls. Two balls are drawn from the bag without replacing the ballafter the first draw.(a)(2 points)Specify the sample space (set of outcomes) and probability distributionof the outcomes.(b)(3 points)If you draw two balls from the bag without replacing them, what isthe probability of drawing two red balls
Answer:
3 / 91
Step-by-step explanation:
Given :
Red balls = 3
Blue balls = 4
Green balls = 4
Yellow balls = 3
Total number of balls = (3+4+4+3) = 14
Sample space :
RR, BB, GG, YY, RB, BR, BG, GB, YG, GY, YR, RY, BY, YB, GR, RG
Probability of drawing two red balls without replacement :
1st draw :
P(red) = number of red balls / total number of balls
P(red) = 3/14
2nd draw :
P(red) = 2 / 13
Hence,
P(RR) = 3/14 * 2/13 = 6 / 182 = 3 / 91
a total of 10000 was invested in two business ventures A and B .at the of the first year A and B yielded returns of 6% and 23÷4 respective on the original investment how was the original amount allocated if the total amount earned was 588.75?
Answer:
(1)
compound amount = 802.5 $
invest earned = 52.5 $
Step-by-step explanation:
total amount = 10000 $
let amount x invested in ventures A and remaining (1000-x) on ventures B
now,
6x/100 +23/400(1000-x ) = 588.75
{24x+23(1000-x)}/400 =588.75
x=235500-230000
x=5500
Amount invested on A = 5500$
Amount invested on B = 4500$
(2)
principle=750$
time= 1 year
effective invest rate = 7%
a) compound amount = p(1+(r/w)^t
=750{1+(7/100)}^1
=802.5$
b) invest earned = 802.5-700 = 52.5$
Butternut is a ski resort in Massachusetts. One of their triple chair lifts unloads 5583 skiers per hour at the top of the slope. (A triple chair lift can carry three passengers per chair.) The ride from the bottom to the top takes 5 minutes. How many skiers are riding on the lift at any one time
Answer:
465.25 skiers at any one time.
Step-by-step explanation:
Given that:
Number of skiers unloaded per hour = 5583
Time taken to move from bottom to top = 5 minutes ;
Number of travels(rides) per hour :
1 hour / 5 minutes = 60 minutes / 5 minutes = 12 rides
If equal number of riders are conveyed per ride ; the Number of riders at any one time is :
Total number of riders conveyed at any one time = 5583 / 12
= 465.25 skiers per trip
Find the measurement of the numbered angles
Answer:
m<1 = 60
m<2 = 30
m<3 = 80
Step-by-step explanation:
1. Solve for angle (1)
The sum of angles in any triangle is (180) degrees. As one can see, there is a (30) degree angle in this triangle, and a (90) degree angle. Bear in mind that the box around an angle indicates that it is a (90) degree angle. One can form an equation and solve for the unknown angle using this given information;
(30) + (m<1) + (90) = 180
Simplify,
120 + m<1 = 180
Inverse operations,
m<1 = 60
2. Solve for angle (2)
The vertical angles theorem states that when two lines intersect, the angles opposite each other are congruent. One can apply this theorem here by stating the following,
m<2 = 30
Thus one gets their answer, the measure of angle (2) must be (30) degrees by the vertical angles theorem.
3. Solve for angle (3)
As states above, the sum of angles in a triangle is (180) degrees. Since one has found the measure of angle (2), one can form an equation and solve for the measure of angle (3) using the given information, combined with the information found.
(m<2) + (70) + (m<3) = 180
Susbtitute,
30 + 70 + (m<3) = 180
Simplify,
100 + m<3 = 180
Invers eoperations,
m<3 = 80
Expand the brackets 3(12-W)
Answer:
[tex]36 - 3m[/tex]
Step-by-step explanation:
[tex]3(12−m)[/tex]
[tex]3 \times 12+3(−m)[/tex]
[tex]36+3(−m)[/tex]
[tex]36−3m[/tex]
Hope it is helpful...