To find the critical values (-Z, Z) pair that corresponds to a 90% confidence level, we need to use the standard normal distribution table or a calculator that can calculate z-scores.
The critical values correspond to the z-scores that divide the area under the normal distribution curve into two equal parts, leaving a total of 10% of the area in the tails. Since the normal distribution is symmetric, the area in each tail is equal to 5%.
Using a standard normal distribution table or calculator, we can find the z-score that corresponds to the area of 0.05 in the right tail, which is denoted by Z. By symmetry, the z-score that corresponds to the area of 0.05 in the left tail is -Z.
For a 90% confidence level, the area in the middle of the curve (between -Z and Z) is equal to 0.90, so the area in each tail is equal to 0.05.
Using a standard normal distribution table or calculator, we find that Z = 1.645 (rounded to three decimal places). Therefore, the critical values (-Z, Z) pair that corresponds to a 90% confidence level is (-1.645, 1.645).
To know more about normal distribution refer here:
https://brainly.com/question/29509087
#SPJ11
2x - 5[4 + 3 (x + 2)] = 9
Step-by-step explanation:
i hope you will get the answer
Step-by-step explanation:
2x - 5 ( 4 + 3 ( x + 2 ) ) = 92x - 5 ( 4 + 3x + 6 ) = 92x - 5 ( 3x + 10 ) = 92x - 15x - 50 = 9-13x - 50 = 9-50 - 9 = 13x-59/13 = xMARK ME AS BRAINLISTPhilippe will read One-half of the number of pages that Rafael reads. How many pages will Rafael read?
Answer:
He will read 1/2 more than Philippe
Step-by-step explanation:This will be because is Rafael reads 1/2 and Philippe reads 1/2 of that it would still be 1/2
Find the two whole numbers that are the closest to √42. Explain your reasoning
The two whole numbers that are the closest to √42 are 6 and 7.
The given number is √42.
What is the square root of a number?The square root of a number is the inverse operation of squaring a number. The square of a number is the value that is obtained when we multiply the number by itself, while the square root of a number is obtained by finding a number that when squared gives the original number.
The square root of √42 =6.48
The two whole numbers that are the closest to √42 are 6 and 7.
Therefore, the two whole numbers that are the closest to √42 are 6 and 7.
To learn more about the square root of a number visit:
https://brainly.com/question/8971086.
#SPJ5
ALGEBRA 15 POINTS please help will give 15 points
Answer:
angle FEX is 105
Step-by-step explanation:
x=30 just plug that in and check(i already did but if u want to u can do it too).
Please help!!!
I am failing math!!
Algebra 1
Answer:
Wouldnt the answer be "D"
Since it's negative number and multiplied
But still not sure.
Expand- 2.5( - 3+ 4n + 8)
Answer:
10n + 12.5
Step-by-step explanation:
Ander makes a scale drawing of a tower. He uses scale of ' 1 cm represents 5 m. The tower in real life is 125 m high. How high is the tower on the scale drawing?
Answer:
25 cm
Step-by-step explanation:
125/5 = 25
hope this helped?
An item with an original price of p dollars is on sale at a 35% discount. Write an
expression that is equivalent to the price of the item with the discount.
Answer:
Step-by-step explanation:
Your answer
X =0.35 p
Mark it as Brainlist. Follow me for more answer.
Caraline wants to compare the expression's -15-9 and 9-(-15) to determine which result is greater.How cab she do this without finding the value of rach difference? Explain your reasoning.
Answer:
9-(-15)
Step-by-step explanation:
because it would be changed to 9+15
Help please this is due in 10 minutes pleaseee I will mark you brainliest
When I...
double my number ...
subtract six ...
take the square root and
add four
I get eight.
My number is:
Answer:
11
Step-by-step explanation:
Work backwards and reverse the operations to find the original number.
Reverse the operations for add four: 8 - 4 = 4
Reverse the operations for take the square root: 4² = 16
Reverse the operations for subtract six: 16 + 6 = 22
Reverse the operations for double the number: 22 ÷ 2 = 11
plz help, just look at the picture
Answer:
<2, <3, <4
Step-by-step explanation:
You have parallel lines cut by a transversal, so alternate interior angles are congruent. Also, alternate exterior angles are congruent. Corresponding angles are congruent.
Vertical angles are always congruent.
I'll write each congruent angle and the reason.
<2, vertical
<3, corresponding
<4, alternate exterior angle
iki sayının oranı 5/8 dir bu iki sayının farkı 24 olduğuna göre toplamı kaçtır
Answer:
x = -40 and y = -64
Step-by-step explanation:
The ratio of the two numbers is 5/8, since the difference of these two numbers is 24, what is the sum
Let two numbers be x and y.
ATQ,
x-y = 24 ..(1)
and
[tex]\dfrac{x}{y}=\dfrac{5}{8}[/tex]
or
8x-5y =0 ...(2)
Multiply equation (1) by 8.
8x-8y = 192 ...(3)
Subtract equation (3) from (2).
8x-5y -(8x-8y) = 0-192
-5y+8y = -192
3y = -192
y = -64
Put the value of y in equation (1).
x-(-64) = 24
x+64 = 24
x = -64+24
x = -40
So, the values of x and y are -40 and -64 respectively.
what is 2345653445353453463635746 divided by 34174182746542
Answer:
6.86381724×10 to the 10th power
Step-by-step explanation:
Find the area of the figure below. 7 cm
Answer:
Area tells us the size of a shape or figure. It tells us the size ... The rectangle above has an area of 15 square units. The area of a ... Area = 7 cm x 6 cm = 42 cm2.
Step-by-step explanation:
Please help!!!
Its an emergency
Answer: A
Step-by-step explanation:
The line 'd' separates the square into two triangles. Since the side lengths are equal, the angle is 45°. We need the line separating the two 90° angles, that I am going to define as 'z'. We can use the sine function.
[tex]\sin(45)=\frac{z}{5\sqrt{2} }[/tex]
z = 5
To solve for x, we can use sine again but for the 30 degree angle.
[tex]\sin(30)=\frac{5}{x} \\x=10[/tex]
Answer:
x=10
Step-by-step explanation:
The middle triangle has d as the hypotenuse and is an isosceles right triangle. The sides of such a triangle are in the ratio of y, y, and [tex]\sqrt{2}y[/tex].
For this triangle
[tex]\sqrt{2}y=5\sqrt{2}[/tex]
so y=5.
Tthe triangle on the right is a 30, 60, 90 triangle with sides in the ratio of
y, [tex]\sqrt{3}y[/tex], and 2y. So
2y=x=10
QUESTIONS ARE DOWN BELOW!!! ALL HELP WILL BE APPRECIATED AND I WILL TRY TO MARK BRAINLIEST (IF I CAN)
Answer: 90 and 110
Step-by-step explanation:
Can someone help me find the area of this ? If you can thank you so much , it's been awhile since I've done it
Answer:
185
Step-by-step explanation:
Hope this helps
Choose the answer that best represents the situation described below. George is climbing a mountain. He knows that the higher the mountain, the more time the climb will take.
A. The time to climb the mountain is a function of climbing speed.
B. The height of the mountain is a function of climbing speed.
C. The time to climb in the function of its height.
Find the value of x. Round your answer to the nearest whole degree.
Answer:
68°
Step-by-step explanation:
arctan(x) = 5/2
#every one when im in public be like
Answer:
lol
Step-by-step explanation:
radius:
diameter:32 meters
circumference:
area:
Given diameter is 32, radius would be 16 bc radius is always half of diameter, and circumference would be 2(pi)*radius, which would be 100.5309649.... and area is (pi)*radius^2 which would be 804.2477193........
Find the mean,median,mode, and range:5,2,5,2
Answer:
Mean = 3.5
Median = 3.5
Mode = 5, 2
Step-by-step explanation:
Hope that helps!
Mean: To find the mean, simply add the numbers together and divide by the amount of numbers in the set:
Mean: (5 + 2 + 5 + 2)/4
= (14)/4
= 3.5
Mean = 3.5
Median: To find the median, simply order from least to greatest, and find the middle number in the set. That is your median. In the case of an even amount of numbers in the set, find the mean with the two median numbers (as in this case):
Median: (2 + 5)/2
= 7/2
= 3.5
Median: 3.5
Mode: The Mode is the number that shows up the most frequently. As both given numbers show up the same amount of times (twice), there is no mode.
Mode: None.
Range: The Range is found by subtracting the greatest number with the least number:
5 - 2 = 3
Range: 3
evaluate 4a + b2 for a = 4 b=3
Answer:
22
Step-by-step explanation:
We substitute the numbers for the letters to get 4*4 + 3*2 and then we multiply. 16 + 6 which equals 22. I hope this helps and please mark brainliest!
Answer:
22
Step-by-step explanation:
4a + b2
4(4) + (3)2
4 x 4 = 16
3 x 2 = 6
16 + 6 =
22
x²+8x-84=0
Formúla General
Answer:
[tex]x_{1} =-14\\\\x_{2} =6[/tex]
Step-by-step explanation:
[tex]x^{2} +8x-84=0\\\\x=\dfrac{-b \pm \sqrt{b^{2}-4ac } }{2a} \\\\a=1; \: \: b=8; \: \: c=-84\\\\x=\dfrac{-8 \pm \sqrt{8^{2}-4 \cdot 1 \cdot (-84) } }{2 \cdot 1}=\dfrac{-8 \pm \sqrt{400 } }{2}=\dfrac{-8 \pm20}{2} =-4 \pm 10\\\\x_{1} =-14\\\\x_{2} =6[/tex]
I need this answered in 5 minutes!
Answer:
Step-by-step explanation:
a.19*5= 95
b.65*5= 325
c. 0*5=0
if my anwser helps please mark as brianliest.
Having trouble solving this
opt1.
667/1000
=66.7
hope u understand
Answer:
more like dividing the up ones with bottom ones
EX 717/1000=0.717
If your wages vary directly with how many hours you babysit, write the constant of
proportionality equation when w = 60 and h = 6.
W = wages
H = hours babysat
OPTIONS!!
1. W=1/10h
2. W=10H
3. H=10W
4. Y=1/10x
Question 4 (3 points)
What is the sum of the angle measures in this shape?
degrees
(I have to fill in the blank, please hurry I’ll give brainliest!!)
The sum of the angles in a triangle is 180°, If I remember correctly.
Mori is building a cage for his pet guinea pig. The bottom is 8 inches
long and 8 inches wide. How big is the bottom of the cage?
[tex]area = lw[/tex]
[tex]area = (8)(8)[/tex]
[tex]area = 64 \: {inches}^{2} [/tex]
//
[tex]perimeter = 2(l) + 2(w)[/tex]
[tex]perimeter = 2(8) + 2(8)[/tex]
[tex]perimeter = 32 \: inches[/tex]