Answer:
46
Step-by-step explanation:
Given :
Lowest scoring 20% ; this corresponds to score below (1 - 0.2) = 0.8
Mean, m = 60
Standard deviation, s = 17
Zscore = (x - mean) / standard deviation
Therefore, the Zscore for the bottom 20% equals ; P(x > Z) = 0.8
Using a Z probability calculator ;
The Zscore = -0.842
Therefore to Obtian the score, x
Zscore = (x - mean) / standard deviation
-0.842 = (x - 60) / 17
-0.842 * 17 = (x - 60)
-14.314 = x - 60
-14.314 + 60 = x
x = 45.686
To secure a second interview, candidate must score, 46 (nearest whole number).
The marks (to the nearest whole number) must a candidate achieve in order to secure a second interview is 46 and this can be determined by using the z-score formula.
Given :
A company issues a general knowledge test to its potential employees as part of its recruitment procedures.The company does not invite the lowest scoring 20% back for a second interview.If the scores on this test are normally distributed with a mean of 60 and a standard deviation of 17.Let 'x' be the mark must a candidate achieve in order to secure a second interview.
So, through the z-score formula, the value of 'x' can be determined.
[tex]\rm z_{score} = \dfrac{x-mean}{Standard\; Deviation}[/tex]
[tex]\rm -0.842 = \dfrac{x-60}{17}[/tex]
[tex]17\times -0.842 = x - 60[/tex]
x = 60 - 14.314
x = 45.686
So, the marks (to the nearest whole number) must a candidate achieve in order to secure a second interview is 46.
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24 x 2y = 210
and
2x + 2 =22
Work out the value of x and the value of y
Answer:
2x + 2 = 22
subtract 2 from both sides
= 2x = 20
x = 10
=======
24 x 2y = 210
subtract 24 on both sides
2y = 176
y = 88
Answer:
X=20
Y=\frac{35}{8x}
Step-by-step explanation:
Solve each equation by taking square roots : NEED THIS ASAP WILL GIVE BRAINLIEST
Answer:
1.) M=9,-9 2.) x=10,-10 3.) n=3,-3 4.) x=2,-2
Step-by-step explanation:
Which of the following cannot be the side lengths of a triangle?
10, 12, 18
9, 9, 10
3, 11, 15
10, 15, 20
Answer:
3, 11, 15
Step-by-step explanation:
The two shorter sides add up to 14, which is smaller than 15, therefore making the triangle impossible as the sum of the two smaller sides have to be larger than the longest side
If f(x)= 2(3 to the power of x) +1 what is the value of f(2)
Answer:
19
Step-by-step explanation:
f(x)= 2(3^x) + 1
f(2)= 2(3^2) + 1
= 2(9) + 1
= 18 + 1
= 19
What is the slope of the line 3y = 4x + 5?
Answer:
4/3
Step-by-step explanation:
3, -12, 48, -192, ...
Find the common ratio for the geometric
sequence.
Hi there :D
I am struggling. I will mark brainliest!
Answer:
400.2
Step-by-step explanation:
A = π r l + π r²
l = √r² + h²
Solving for A
A = πr(r+√h² + r² ) = π · 6 · (6 + √14² + 6²) ≈ 400.20522 ≈ 400.2 (1 Decimal Place)
À Box Contain 2 yellow and 3 blue
Cards in how many ways Can 3 Cards
be selected if
(a) If at least 1 card must be yellow
(b) lf at least 1 Card must be blue
Answer:
A) 1 Yellow, 2 Blue
B) 2 Yellow, 1 Blue
PLEASE HELPPP
Given △ABC and altitude AH, decide whether each statement is necessarily true about △AHC. Select Yes or No for A − C.
ge80512
A. AH < HC
A Yes B No
B. AH < AC
A Yes B No
C. △AHC ≅ △AHB
Answer:
(a) AH < HC is No
(b) AH < AC is Yes
(c) △AHC ≅ △AHB is Yes
Step-by-step explanation:
Given
See attachment for triangle
Solving (a): AH < HC
Line AH divides the triangle into two equal right-angled triangles which are: ABH and ACH (both right-angled at H).
To get the lengths of AH and HC, we need to first determine the measure of angles HAC and ACH. The largest of those angles will determine the longest of AH and HC. Since the measure of the angles are unknown, then we can not say for sure that AH < HC because the possible relationship between both lines are: AH < HC, AH = HC and AH > HC
Hence: AH < HC is No
Solving (b): AH < AC
Length AC represents the hypotenuse of triangle ACH, hence it is the longest length of ACH.
This means that:
AH < AC is Yes
Solving (c): △AHC ≅ △AHB
This has been addresed in (a);
Hence:
△AHC ≅ △AHB is Yes
Find the perimeter of the semicircular region
22 mm
Answer:
The permiter is 22mm since its still the same
Step-by-step explanation:
In an August 2012 Gallup survey of 1,012 randomly selected U.S. adults (age 18 and over), 536 said that they were dissatisfied with the quality of education students receive in kindergarten through grade 12.
a. Test, at the 5% significance level, if this sample provides evidence that the proportion of Americans who are dissatisfied with education in kindergarten through grade 12 differs significantly from 50%.
b. Is the Test Significant? Why or Why not.
Answer:
Yes, result is significant ; PVALUE < α
Step-by-step explanation:
Given :
x = 536
n = sample size = 1012
Phat = x / n = 536 / 1012 = 0.5296 = 0.53
H0 : P0 = 0.5
H1 : P0 > 0.5
Test statistic :
(Phat - P0) ÷ sqrt[(P0(1 - P0)) / n]
1-P0 = 1 - 0.5 = 0.5
(0.53 - 0.5) ÷ sqrt[(0.5*0.5)/1012]
0.03 ÷ 0.0157173
= 1.9087
Pvalue :
Using the Pvalue from test statistic :
Pvalue = 0.02815
To test if result is significant :
α = 0.05
0.02815 < 0.05
Pvalue < α ; Hence, result is significant at α=0.05; Hence, we reject H0.
Which pair(s) of numbers has (have) a greatest common factor of 9?
Select ALL that apply.
89 and 18
49 and 27
45 and 63
36 and 54
18 and 63
Answer:
45 and 63
36 and 54
18 and 63
Step-by-step explanation:
Nora measured a community college and made a scale drawing. She used the scale 3 millimeters : 2 meters. If a building at the college is 96 millimeters wide in the drawing, how wide is the actual building?
Answer:64 Meters
Step-by-step explanation:
How many cubes with side lengths of 1/4 cm does it take to fill the prism?
Answer:2 14
Step-by-step explanation:
9514 1404 393
Answer:
135
Step-by-step explanation:
The prism is 9/4 cm = 9×(1/4 cm) = 9 cubes wide.
The prism is 3/4 cm = 3×(1/4 cm) = 3 cubes deep.
The prism is 5/4 cm = 5×(1/4 cm) = 5 cubes high.
The number of cubes that will fill the prism is ...
9 × 3 × 5 = 135 . . . cubes to fill the prism
how a single number could be a ratio?
Step-by-step explanation:
For example, the number 5 can be written as [tex]\frac{5}{1}[/tex] . And that [tex]\frac{5}{1}[/tex] can also be written as 5:1, which is a ratio. By converting the single number to a fraction, then converting the fraction into a ratio, you can turn a number into a ratio.
Hope this helps.
VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.
Answer:
a change in shape or object by turning it
HOW LONG IS PQ?
special right triangles khan academy
Answer:
Step-by-step explanation:
The side opposite to the angle 30 degree in right triangle is half of hypothenuse.
Write a recursive formula and an explicit formula for the following arithmetic sequence.
5, 3, 1, -1, ...
A recursive formula is a1 = , an = |
(Simplify your answers. Use integers or decimals for any numbers in the expressions.)
An explicit formula is an =
(Simplify your answer. Use integers or decimals for any numbers in the expression.)
Answer:
Step-by-step explanation:
Please help!!! Also if you could show work I need it!
Find the slope and y - i intercept of the line y = 4/3 * x - 3 .
Answer:
(2,-4)
hope this helps
Step-by-step explanation:
Answer:
slope: 4/3
y-intercept: -3
Step-by-step explanation:
the number before x is the slope.
the number at the end of the equation is the y-intercept.
true or false
There are four quartiles altogether,
Which of the following is the radical expression of2 times d to the seven tenths power? (2 points)
a
seventh root of 2 d to the tenth power
b
tenth root of 2 d to the seventh power
c
2 times the tenth root of d to the seventh power
d
2 times the seventh root of d to the tenth power
what does 5 × 100 equal
Answer: 500.
Step-by-step explanation:
Your answer is 500.
Two old RSM students were standing 10 ft apart when they spotted Mrs. Rifkin. If they immediately run in opposite directions at the speeds of 150 feet per minute and 160 feet per minute respectively, how many minutes will pass before they are 1870 feet apart?
Answer:
6
Step-by-step explanation:
Seeing that the two students are running aside from
each other. We can add the speeds together.
We can also subtract 10 feet from our goal of 1870
they are already feet apart.
1870ft / (150+1650) ft per min
we are left with our answer 6
Hope this helps!
Answer:
5.96 minutes :)
can someone help me solve this
(show work)
Answer:
y=x+31.25
Because x stand for cauclator so 31.25 per x so it would end up being x+31.25
Step-by-step explanation:
Write rational numbers between 0 and 1
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please also say how did you solve it
this question has 10 points
I will mark you as Brillant if you answer it
Step-by-step explanation:
0/1 , 1/1
Multiply there denominators with any number...
0/1×60=0/60
1/1××60=60/60
Now,
You have many choices...
1/60,10/60,30/60,2/60,5/60........so on....
finding missing angles in triangles worksheet answers house
Step-by-step explanation:
What exactly are you looking for?
The radius of a circle measures 3 ft. What is the circumference of the circle?
Use 3.14 for 11, and do not round your answer. Be sure to include the correct unit in your answer.
Answer:
18.85
Step-by-step explanation:
adwadad
Suppose that sand is falling to form a circular cone whose radius and height are the same, as in the picture. Suppose that twenty cubic meters of sand falls every minute, so that the volume of the cone of sand is increasing at the rate of 20 m3/min. When the cone of sand is ten meters high, what is the at which the height of the cone is increasing (in meters per minute)
A spider is trying to climb a wall that is 15 metres high. In each hour, it climbs up 3 metres, but falls back 2 metres. In how many hours will it reach the top of the wall?
The spider needs 15 hours to climb up the top of the wall.
What is a word problem?A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.
For the given situation,
A spider is trying to climb a wall of height = 15 meters
In each hour, it climbs up 3 meters but falls back 2 meters,
⇒ [tex]+3-2=1[/tex]
Thus spider climbs 1 meter per hour.
For 15 meter wall, the spider needs 15 hours to climb up the wall.
Hence we can conclude that the spider needs 15 hours to climb up the top of the wall.
Learn more about word problems here
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