Answers
Answer:
m<HJK = 40°
Step-by-step explanation:
Given:
m<HJK = 3x - 2
m<KJL = 50°
Required:
m<HJK
Solution:
m<HJK + m<KJL = 90° (complementary angle)
Substitute
3x - 2 + 50 = 90
Add like terms
3x + 48 = 90
3x + 48 - 48 = 90 - 48
3x = 42
3x/3 = 42/3
x = 14
✅m<HJK = 3x - 2
Plug in the value of x
m<HJK = 3(14) - 2 = 42 - 2
m<HJK = 40°
Related Questions
please help with this
Answers
Answer:
5.5 or simply 6
Step-by-step explanation:
6 = 33
1 = x
6x = 33
x = 5.5 ~6
—————————————————————-
Graduates A random sample of the average debt (in dollars) at graduation from 30 of the top 100 public colleges and universities is listed below. Is there sufficient evidence at a _ 0.01 to conclude that the population mean debt at graduation is less than $18,000? Assume s _ 2605
16,012 15,784 16,597 18,105 12,665 14,734
17,225 16,953 15,309 15,297 14,437 14,835
13,607 13,374 19,410 18,385 22,312 16,656
20,142 17,821 12,701 22,400 15,730 17,673
18,978 13,661 12,580 14,392 16,000 15,176
a. State the hypotheses and identify the claim.
b. Find the critical value(s).
c. Compute the test value.
d. Make the decision.
e. Summarize the results
Answers
Answer:
H0 : μ = 18000
H1 : μ < 18000 - - - > Claim
Test value = - 3.578
Critical value = ±2.58
There is significant evidence to accept the claim that mean debt at graduation is less than $18000
Step-by-step explanation:
H0 : μ = 18000
H1 : μ < 18000
From the data:
Sample size, n = 30
Sample mean, x = 16298.37
The test statistic :
(16298.37 - 18000) ÷ (2605/sqrt(30))
−1701.63 / 475.60575
= - 3.578
The critical value :
Using the standard normal table;
Critical value at α = 0.01
Critical value = ±2.58
Decison region :
|test statistic | > |Critical value | ; reject H0
|3.578| > |2.58| ; We reject H0 and conclude that Mean debt at graduation is less than $18000
An assistant receives a wage of $16.24 per hour this amount is 112% of last year's wage what is the dollar increase in the hourly wage over last year use proportion method
Answers
9514 1404 393
Answer:
$1.74
Step-by-step explanation:
The ratio of the increase to this year's wage is ...
12%/112% = x/$16.24
Multiplying by $16.24, we have ...
x = $16.24(12/112) = $1.74
The dollar amount of the wage increase is $1.74.
Joe drove 80 kilometers per hour for 4 hours. How far did he go?
Answers
Step-by-step explanation:
velocity = distance/time taken
distance=velocity ×time taken
distance=80×4
distance=320kilometers
Find the distance between the two points in simplest radical form.
(3, – 9) and (-3,-1)
Answers
Answer:
[tex]distance = \sqrt{ {( - 3 - 3)}^{2} + {( - 1 - ( - 9))}^{2} } \\ = \sqrt{36 + 64} \\ = \sqrt{100} \\ = 10 \: units[/tex]
Jina's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Jina $4.35 per pound, and type B coffee costs $5.80 per pound. This month's blend used twice as many pounds of type B coffee as type A, for a total cost of $510.40. How many pounds of type A coffee were used?
Number of pounds of type A coffee:
Answers
9514 1404 393
Answer:
32 pounds
Step-by-step explanation:
Let 'a' represent the number of pounds of Type A coffee used. Then the number of pounds of Type B coffee in the mix is 2a, and the total cost of the mix is ...
4.35a +5.80(2a) = 510.40
15.95a = 510.40 . . . . collect terms
a = 32 . . . . . . . . . . . divide by 15.95
Number of pounds of type A coffee: 32.
-2,6,-18,54 find the 12th term
Answers
Answer:
354294
Step-by-step explanation:
-2,6,-18,54,-162,486,-1458,4374,-13122,39366,-118098,354294
multiply each number by -3
Evaluate m) (x) for x = -3.
=
I
m (-3) =
Answers
Select the correct answer from each drop-down menu
Answers
- 2 √2-√3-√6-√2/4
Decimal Form:
0.70710678...
Rice weighing 33/4 pounds was divided equally and placed in 4 containers. How many ounces of rice were in each?
Answers
Answer:
The answer is 15 ounces
Step-by-step explanation:
33/4 ÷ 4 pounds.
(4 × 3 + 3)/4 ÷ 4 pounds.
15/4 ÷ 4 pounds.
15/4 × 1/4 pounds.
15/16 pounds.
Now we know that, 1 pound = 16 ounces.
So, 15/16 pounds = 15/16 × 16 ounces = 15 ounces.
Thus, The answer is 15 ounces
De un saco de frutas que contiene 3 naranjas, 2 manzanas, y 3 plátanos, una muestra aleatoria de 2 piezas de se selecciona la fruta. Si X es el número de naranjas e Y es el número de manzanas en la muestra, encuentre
(a) la distribución de probabilidad conjunta de X y Y, muestre la tabla de distribución;
(b) Pruebe que la suma de columnas y renglones nos entregan las distribuciones marginales de X , Y
(c) Calcule P(Y = 0|X = 2)
(d) Demuestre que las variables aleatorias X ,Y no son estadísticamente independientes
Answers
Answer:
ok
Step-by-step explanation:
i phone you have a great day but I don't think it will be a good pic of your face is it a good day today and tomorrow to drink seculari sec to
Find the value of x. 2x - 5 > 7 *
Answers
Answer:
[tex]x>6[/tex]
Step-by-step explanation:
Answer:
x > 6
Step-by-step explanation:
PLEASE HELP I DON'T KNOW
Answers
Answer:
radius
Step-by-step explanation:
Answer:
It is the radius
Step-by-step explanation:
How many hours in a year?
Answers
Answer:
Here is your answer hope it helps u have a great day ahead....
please help. NO LINKS.
Answers
Answer:
the answer is A
y= 1.9x + 69
y=6x
Someone please help me!!
For the given equation, what is the step to clear the fractions and what is the result?
O Multiply both sides by 6 to get 4y - 1 = 21.
O Multiply both sides by 18 to get 12y - 3 = 7.
O Multiply both sides by 6 to get 2y - 1 = 7.
Multiply both sides by 12 to get 2y - 1 = 7
Answers
Answer:
The first choice
Step-by-step explanation:
Multiplyil by 6 to get 4y - 1 =21
PQRS is translated 3 units down. What are the coordinates of R' , the image point of R' after the translation
A.(1,0)
B.(1,3)
C.(4,0)
D.(4,-3)
Answers
Answer:
I think its D but I might be wrong
Step-by-step explanation:
plz plz plz plz help me plz it is due in 1 hour and no links plz
Answers
Answer:
It is:
B.Divide the area of the triangle by the base and multiply the result by 2.
Express the null hypothesis and the alternative hypothesis in symbolic form. Use the correct symbol ( μ, rho, σ) for the indicated parameter. A psychologist claims that more than 5.8 percent of the population suffers from professional problems due to extreme shyness. Use p, the true percentage of the population that suffers from extreme shyness.
a) H0 : p = 5.8%
H1 : p < 5.8%
b) H0 : p = 5.8%
H1 : p ≥ 5.8%
c) H0 : p = 5.8%
H1 : p > 5.8%
d) H0 : p = 5.8%
H1 : p ≤ 5.8%
Answers
Answer:
c) H0 : p = 5.8%
H1 : p > 5.8%
Step-by-step explanation:
At the null hypothesis, we test that the percentage is equal to a certain value. At the alternate hypothesis, we have a test about this percentage, if it is more, less, or different from the tested value.
A psychologist claims that more than 5.8 percent of the population suffers from professional problems due to extreme shyness
At the null hypothesis, we test if the percentage is 5.8%
[tex]H_0: p = 5.8\%[/tex]
At the alternate hypothesis, we test if this percentage is more than 5.8%. So
[tex]H_a: p > 5.8\%[/tex]
This means that the correct answer is given by option c.
Answer:
c) H0 : p = 5.8%
H1 : p > 5.8%
Step-by-step explanation:
Hope this helps
Kind of easy giving alot points to anyone who knows
Answers
Answer:
5 hours
Step-by-step explanation:
Write the function for the graph.
(1,12)
(0,3)
O A. f(x) = 3•(12)^x
O B. f(x) = 4•(3)^x
O C. f(x) = 3•(4)^x
D. f(x) = 4•(12)^x
Answers
Answer:
[tex]f(x) =3 * (4)^x[/tex]
Step-by-step explanation:
Given
[tex](x_1, y_1) = (1,12)[/tex]
[tex](x_2, y_2) = (0,3)[/tex]
Required
The function of the graph (exponential function)
An exponential function is represented as:
[tex]f(x) = ab^x[/tex]
For [tex](x_1, y_1) = (1,12)[/tex], we have:
[tex]12 = a * b^1[/tex]
[tex]12 = a * b[/tex]
[tex]12 = a b[/tex]
For [tex](x_2, y_2) = (0,3)[/tex]
[tex]3 = a * b^0[/tex]
[tex]3 = a * 1[/tex]
[tex]3 = a[/tex]
[tex]a = 3[/tex]
Substitute: [tex]a = 3[/tex] in [tex]12 = a b[/tex]
[tex]12 = 3 * b[/tex]
Divide both sides by 3
[tex]4 = b[/tex]
[tex]b =4[/tex]
So, we have:
[tex]f(x) = ab^x[/tex]
[tex]f(x) =3 * (4)^x[/tex]
I need help on dis one
Answers
Answer:
B, C, and D
Step-by-step explanation:
ahhhhh uh you are looking for things less than that line so you would pretty much shade in the under side of the line and any point that is in that shaded region is the answer
What is the exponential of 3 · 3 · 2 · 4 · 4 · 4 · 4 ?
Answers
Your welcome ☺️
1) Which choice best represents the height of a box of cereal? A. 30 millimeters B. 30 centimeters C. 30 kilometers D. 30 meters
Answers
Answer:
30 centimeters
SHEEEEEEEEEEEEEEEEEEEESH
Given
mZQPS is a straight angle
mZQPR = 72 – 4°
mZRPS = 9x - 40°
Find mZQPR:
P
Answers
9514 1404 393
Answer:
m∠QPR = 94°
Step-by-step explanation:
Given:
m∠QPS = 180°
m∠QPR = 7x -4°
m∠RPS = 9x -40°
Find:
m∠QPR
Solution:
m∠QPR + m∠QPR = 180°
(7x -4°) +(9x -40°) = 180°
16x = 224° . . . . . . . . . . . . . add 44°
x = 14° . . . . . . . . . . . . . divide by 16
m∠QPR = 7x -4° = 7(14°) -4°
m∠QPR = 94°
Variable c is 9 less than variable w. Variable c is also 3 more than variable w. Which pair of equations best models the relationship between c and w? (5 points)
a
c = w + 9
c = w − 3
b
w = c + 9
w = c − 3
c
c = w − 9
c = w + 3
d
w = c − 9
w = 4c + 3
Answers
B is the right anwser
Which two do i pick ? Evaporation changes gas / liquid water to ice (solid) / water vapor (gas).
Answers
Answer:
Evaporation changes liquid water and even soled water (ice) to water vapor, which is a gas. This all part of the water cycle
Step-by-step explanation:
thank you
From the top of an 95 meter cliff, Tim spots a hiker down below at an angle
of depression of 22 degrees. To the closest meter, how far is the hiker from
the base of the cliff?
Answers
Step-by-step explanation:
jsvsbsbbssnbshsshvsvsv
Can someone help me with this ?
Answers
c^2=a^2+b^2
x^2=(3/4)^2+1^2
x^2=25/16
x= 5/4 = 1 1/4 inch
therefore it is B
step by step
help!!
using quadratic formula
round to the nearest hundred
Answers
Answer:
x=-7±√97/4
Step-by-step explanation:
-7±√97
______
4
0.71 and -4.21