Answer:
286
Step-by-step explanation:
Given :
Mean (m) = 284
Standard deviation (s) = 5.5
P(Z > x) = 0.34
According to the standardized formula :
Zscore = (x - m) / s
Uaing the Z probability calculator ; The Z value at P(Z > x) = 0.34 is 0.412
Hence, Zscore = 0.412
Zscore = (x - m) / s
0.412 = (x - 284) / 5.5
5.5 * 0.412 = x - 284
2.266 = x - 284
x = 2.266 + 284
x = 286.266
x = 286 (nearest whole number)
Use the information in the table to find the constant of proportionality and write the equation
The constant of proportionality is
The equation that represents this proportional
relationship is
9514 1404 393
Answer:
constant of proportionality: 5/2equation: y = 5/2xStep-by-step explanation:
The constant of proportionality (k) is the ratio of y to x:
k = 5/2
__
The equation is ...
y = kx
y = 5/2x
Answer:
The answer is 2.5 and y=2.5x
Step-by-step explanation:
The person above me is right but i simplified it more
y + 2x-2 = x2
y - 2x = -2
Evaluate the expression a/4 + 1/3 when a=10
Answer:
17/6
Step-by-step explanation:
10
4
+
1
3
=
5
2
+
1
3
=
15
6
+
2
6
=
15+2
6
U
1
2.
3
4.
LO
What is the highest common factor (HCF) of 72 and 96?
1
Answer:
HCF of 72 and 96 is 24
Step-by-step explanation:
What is the highest common factor (HCF) of 72 and 96
HCF
Highest Common factor(HCF) is the biggest number that is divisible by both numbers.
First we will write prime factors of both 72 and 96
72: 2x2x2x3x3
96: 2x2x2x2x2x3
Now, writing the common factors: 2x2x2x3
Multiplying them we get: 24
So, HCF of 72 and 96 is 24
Suppose you obtain a 30-years fixed-rate mortgage for$100000 at a rate of 3%.
Answer:
yes
Step-by-step explanation:
The school store sells highlighters for $1.20 and permanent markers for $1.15. On Monday they sold 8 of these
items earning a total of $9.35. How many of each item did they sell?
Answer:
3 highlighters and 5 permanent markers were sold on Monday.
Step-by-step explanation:
Since the school store sells highlighters for $ 1.20 and permanent markers for $ 1.15, there is a difference between the two products of 5 cents, or $ 0.05.
Therefore, if 8 products were sold for a total of $ 9.35, and since 1.15 x 8 equals 9.20, there is a difference of 15 cents, attributable to the highlighters, since each highlighter costs 5 cents more than the permanent markers .
Therefore, since 15/5 is equal to 3, on Monday 3 highlighters and 5 permanent markers were sold, which is corroborated by the following calculation:
3 x 1.20 = 3.60
5 x 1.15 = 5.75
5.75 + 3.60 = 9.35
The difference of two numbers is 14. The sum of those numbers is 32,
Write a system of equations to represent the scenario.
Answer:
step explanation: 16+ 16 = 32
Write an equation in slope intercept form that is perpendicular to 3x + 2y equals 12 and passes through the point (1,2)
Answer:
The equation is y = (2/3)x + (4/3).
Step-by-step explanation:
First, you have to change the equation into slope-intecept formula to find its gradient (slope) :
[tex]3x + 2y = 12[/tex]
[tex]2y = - 3x + 12[/tex]
[tex]y = - \frac{3}{2}x + 6[/tex]
Given that when a line is perpendicular to the other line, their slope value multiplied, will form -1. Next, we have to find the slope for line :
[tex]m1 \times m2 = - 1[/tex]
[tex] - \frac{3}{2} \times m2 = - 1[/tex]
[tex]m2 = - 1 \div - \frac{3}{2} [/tex]
[tex]m2 = \frac{2}{3} [/tex]
Lastly, we have to subatitute the x and y values into the equation, to find its intercept value :
[tex]y = \frac{2}{3}x + b[/tex]
[tex]let \: x = 1,y = 2[/tex]
[tex]2 = \frac{2}{3} (1) + b[/tex]
[tex]b = 2 - \frac{2}{3} [/tex]
[tex]b = \frac{4}{3} [/tex]
[tex]y = \frac{2}{3} x + \frac{4}{3} [/tex]
Can some plz help me answer
Select the two correct solutions of the inequality 2x + 3 > 16
A. 2
B. 7
C. 5
D. 3
E. 8
Which recursive formula can be used to represent the sequence
2, 4, 6, 8, 10, ... ?
Answer:
add by 2
Step-by-step explanation:
1/2x + 3/2(x+1) -1/4 = 5
Answer: x=15/8
Step-by-step explanation:
Help on math equations!! 13 points!!!!!!
Answer:
1. [tex]\frac{-73}{350}[/tex]
2. 0.12
3. 13[tex]\frac{23}{45}[/tex]
4. -9/5
Step-by-step explanation:
Number 1 is -73/350 = 0.20857
Number 2 is 3/25 = 0.12
Number 3 is 331/15 = 22.06667
Number 4 is -1.8
A bag of cat food contains 4 pounds. Each serving is 1/4 of a cup. How many servings are in the bag?
Answer:
16
Step-by-step explanation:
each pound has 3.6 cups
1/4 of a pound can be multiplied
3.6 x 1/4 = 0.9
then we subtract 4 - 3.6 = 0.4 say if the question was for one pound
But we have to find 14.4 cups instead as;
3.6 x 4 = 14.4 = 4 pounds
We go back to 0.9 are first smaller serving = 1/4 cup
14.4/0.9 = 16
please help. loll
which expression is equal to 1/3b-7?
1)1/3(b+21)
2)-1/3(b-21)
3)-1/3(b+21)
4)1/3(b-21)
Answer:
4 1/3(b-21) im pretty sure
Show me how to file the bonds fir each please
Completely factor the polynomial, if possible.
4x2 + 1
i need help asap!!
Answer:
x= √-1/4
Step-by-step explanation:
4x²+1=0
4x²= -1
x² = -1/4
x = √-1/4
PLEASE HELP ME AND SHOW WORK PLEASE THIS IS DUE TODAY‼️‼️‼️ show work!!!
Graph 1:
Slope: -3
X-Intercept: -1
Y-Intercept: -3
Graph 2:
Slope: 2
X-Intercept: 3
Y-Intercept: -6
Graph 3:
Slope: 3/2
X-Intercept: -4
Y-Intercept: 6
Graph 4:
Slope: -2/3
X-Intercept: 3
Y-Intercept: 2
*The picture is a bit blurry so I'm guessing the intervals are going by ones. Sorry if I'm wrong
4. Liza wants to have more than $750 in her
savings account before she will leave for college.
Right now she has $300, and she is going to
babysit to earn $12.00 an hour. How
many
hours
will Liza need to babysit before she leaves for
college?
750 - 300 = 450
She needs to save $450 more.
$450 / $12 per hour = 37.5 hours
She needs to babysit 37.5 hours.
Applying the Pythagorean Theorem Warm-up What is the value of x? 10 8
Answer:
x = 6Step-by-step explanation:
According to pythagorean theorem
a² = b² + x²
a is the hypotenuse
b and x are the opposite and adjacent
Let a = 10
b = 8
Substitute and get x:
10² = 8²+x²
x² = 10²-8²
x² = 100-64
x² = 36
x = √36
x = 6
Hence the value of x is 6
A ladder is leaning up against a wall with the base of the ladder only 44 feet from the wall. The ladder itself is 1414 feet long. How large is the angle formed with the ground as the ladder leans against the wall? Round your answer to the nearest tenth.
Answer:
73.4°
Step-by-step explanation:
Given that :
Base of ladder from wall = 4 feets
Length of ladder = 14 feets
Angle formed with the ground :
Using Pythagoras :
Cosine θ = adjacent / hypotenus
Adjacent = 4 feets
Hypotenus = 14 feets
Cosθ = 4 / 14
Cosθ = 0.2857142
θ = cos^-1(0.2857142) = 73.398450
= 73.4°
A quadratic trinomial is a trinomial in the form x 2 + b x + c or a x 2 + b x + c with a degree of ___.
Using the concept of degree of a polynomial, it is found that a quadratic trinomial has a degree of 2.
What is the degree of a polynomial?The degree of a polynomial is given by the highest exponent of x.
The quadratic trinomial has the following format:
x² + bx + c.
The highest exponent is of 2, hence the quadratic trinomial has a degree of 2.
More can be learned about the degree of a polynomial at https://brainly.com/question/1600696
#SPJ2
Hurry!! Please I need help.
Answer:
1) one solution
2) infinity solutions
3)no solutions
what is 3f + 8f + 4f simplified?
Answer:
Step-by-step explanation:
Simplifying
3f + f + 4f = 0
Combine like terms: 3f + f = 4f
4f + 4f = 0
Combine like terms: 4f + 4f = 8f
8f = 0
Solving
8f = 0
Solving for variable 'f'.
Move all terms containing f to the left, all other terms to the right.
Divide each side by '8'.
f = 0
Simplifying
f = 0
Hoped this helped sorry if it did not
! :)
A grocer sells watermelons.the table shows the cost of buying different numbers of watermelons
Answer:
3: 3.75, 4: 5.00 5: 6.25
Step-by-step explanation:
1.25x1=1.25 multpy them by 1.25 and that the proportional rate
A new hard drive costs $225, plus $40 per hour for
labor. The linear equation y = 40x + 225 gives the cost y in dollars for x hours of labor. If Jane has $385 to spend on computer repairs, what is the maximum number of hours the computer technician can work?
for 35 point
Answer:
4 hours
Step-by-step explanation:
y= 40x +225
$385 money to spend - $225 that go for hard drive = $160
40* x can be maximum 160 so x= 160 /40= 4
A researcher collected data from male and female Caucasian, African American, and Hispanic graduate students using quantitative measurs of extraversion, academic self-efficacy, dissertation anxiety, and math anxiety, each on a scale of 0 to 100 with higher scores indicating more of the specific latent attribute (e.g., more anxiety). Each participant was also asked if they intended to conduct a qualitative or quantitative dissertation study and how many months they estimated it would take to finish the dissertation.
Dissertation anxiety and number of months to finish a dissertation are not related.
a. Correlation
b. Paired samples t test
c. Analysis of Variance (ANOVA)
d. Multiple linear regression
e. Chi square test of independence
Answer:
a. Correlation
Step-by-step explanation:
Correlation is the measure of the degree to which any two variables vary together.In simple words two variables are correlated if they vary simultaneously in some direction.
We have two variables here . One is the measure of anxiety and the other is the number of months.
Paired sample t- test is conducted when we have the paired data. So this option is incorrect.
ANOVA is used for determining the total partitions or total variations.
Multiple Linear regression is used for indpendent variables.
Chi square distribution contains only one variable .
So the correct answer is option a.
MARKING BRAINLIEST Simplify into one fraction
(4/x+3)-(2/x-5)
A.2x-26/(x+3)(x-5)
B.2(x-26)/(x+3)(x-5)
C.6/(x+3)(x-5)
D.2/(x+3)(x-5)
Kevin has $24 to buy a gift for his cousin. He found a gift for $22. With 5% sales tax added on, will Kevin have enough money to buy the gif? If so, how much will he pay?
Answer:
23.10
Step-by-step explanation:
‼️PLEASE HELP‼️‼️ Juan has $13 dollars in his piggy bank. Each week on Monday, he gets $10 for his allowance . Write a function to represent the amount of money Juan has at any given week .
Evaluates f(7)
Answer:
f(x) = 10x + 13
Function f(7) = 83
Step-by-step explanation:
y = 10x + 13
f(x) = 10x + 13
Function f(7) = 10(7) + 13
Function f(7) = 83
