Answer: 187.5
Step-by-step explanation:
200 - 2 x 5 x 5 = 50
200 - 50 = 150
150/ 4 = 37. X 5 = 187.5
- hope this helps
A manufacturer must test that his bolts are 4.00 cm long when they come off the assembly line. He must recalibrate his machines if the bolts are too long or too short. After sampling 196 randomly selected bolts off the assembly line, he calculates the sample mean to be 4.14 cm. He knows that the population standard deviation is 0.83 cm. Assuming a level of significance of 0.05, is there sufficient evidence to show that the manufacturer needs to recalibrate the machines? State the null and alternative hypotheses for the test.
Answer:
The null hypothesis is [tex]H_o: \mu = 4[/tex].
The alternate hypothesis is [tex]H_a: \mu \neq 4[/tex]
The pvalue of the test is 0.0182 < 0.05, which means that there is sufficient evidence to show that the manufacturer needs to recalibrate the machines.
Step-by-step explanation:
A manufacturer must test that his bolts are 4.00 cm long when they come off the assembly line.
This means that the null hypothesis is that they are 4.00 cm long, that is:
[tex]H_o: \mu = 4[/tex]
At the alternate hypothesis we test if it is different. So
[tex]H_a: \mu \neq 4[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
4 is tested at the null hypothesis:
This means that [tex]\mu = 4[/tex]
After sampling 196 randomly selected bolts off the assembly line, he calculates the sample mean to be 4.14 cm.
This means that [tex]n = 196, X = 4.14[/tex]
He knows that the population standard deviation is 0.83 cm.
This means that [tex]\sigma = 0.83[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{4.14 - 4}{\frac{0.83}{\sqrt{196}}}[/tex]
[tex]z = 2.36[/tex]
Pvalue of the test and decision:
The pvalue of the test is the probability that the sample mean is different by at least 4.14 - 4 = 0.14 from the target value, which is P(|z| > 2.36), which is 2 multiplied by the pvalue of z = -2.36.
Looking at the z-table, z = -2.36 has a pvalue of 0.0091
2*0.0091 = 0.0182
The pvalue of the test is 0.0182 < 0.05, which means that there is sufficient evidence to show that the manufacturer needs to recalibrate the machines.
Does coordinate p or coordinate q represent a greater number?
PLEASE HELP!!
Answer:
You need to attach a picture
Step-by-step explanation:
You decide to take your car on a drive through Canada, where gas is sold in liters and distances are measured in kilometers. Suppose your car's gas efficiency is 23.0 mi/gal. How many liters of gas will you need to complete a 495 km trip? Use the conversions 1 gal = 3.78 L and 1 km = 0.6214 mi.
Answer:
You will need 50.54 liters of gas.
Step-by-step explanation:
This question is solved by proportions.
495km trip:
The gas efficiency is given in miles per gallon, so we need to find the number of miles traveled.
Each km has 0.6214 mi, so 495 km will be 495*0.6214 = 307.593mi.
Number of gallons:
23.0 mi/gal.
So for 307.593mi, the number of gallons is 307.593/23 = 13.37 gallons.
How many liters?
Each gallon has 3.78 liters.
So 13.37 gallons will have 13.37*3.78 = 50.54 liters.
Help out plsss ......
Answer: 5 hours will take two days.
Step-by-step explanation:
People dont matter here. but what does is hours. 2 hrs a day = 5 days
3hrs a day = 4 days, 4 hrs a day = 3 days, 5hrs = 2 days.
When hrs a day go up 1 the amount of days is reduced at a rate of 1. It's about finding the rate of change. So our rate of change was +1 hour = -1 day.
2,5
3,4
4,3
5,2
Colton's truck weighs 1 tons. Francine's
truck weighs 2 į tons. What is the difference
between the weights of their two trucks?
Which statement is true?
24 – 15 × 4 – 3 × 2 = 30
24 – 15 × (4 – 3) × 2 = 30
(24 – 15) × 4 – 3 × 2 = 30
(24 – 15) × 4 – 3 × 2 = 66
Answer:
I belive its
24 – 15) × 4 – 3 × 2 = 66, the last one.
If it's wrong please correct me! Hope this can help!
Answer:
i know if its not the correct one but for me its
(24−15)×4−3×2=30
Roger is standing next to a tree where his shadow is 3 feet long and the shadow of the tree is 18 feet long.
If Roger is 4.5 feet tall, what is the height of the tree?
O A. 12 ft
OB. 16.5 ft
O C. 19.5 ft
OD. 27 ft
Answer:
the answer should be 27 ft
sorry if I'm wrong
The height of the tree will be 27 ft. The correct option is D.
What is trigonometry?The branch of mathematics that sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.
The trigonometric functions, also known as a circular, angle, or goniometric functions in mathematics, are real functions that link the angle of a right-angled triangle to the ratios of its two side lengths.
Given that Roger is standing next to a tree where his shadow is 3 feet long and the shadow of the tree is 18 feet long. If Roger is 4.5 feet tall.
The height of the tree will be calculated as,
Height = ( 18 x 4.5 ) / 3
Height = 6 x 4.5
Height = 27 ft
Hence, the height will be 27 ft.
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2. Barnes and Noble bookstore is having a sale. Dr. Mumin's book sells for
$4 per copy. Dan Moyer's book sells for $1 per copy. Leannie spends $23
for 8 books'. How many copies of books from each author did she buy?
A number n is at most −110.
Answer:
n ≤ -110
Step-by-step explanation:
Volume: Question 4
Find the volume of the square pyramid if the area of the base is 48 cm2
and the height is 8 cm.
Step-by-step explanation:
[tex]volume = l \times b \times h \\ area =l \times b \\ so \: if \: area \: = 48 \: that \: means \: \\ volume \: = 48 \times 8 = {384cm}^{3} [/tex]
Answer:
Step-by-step explanation:
36 - 4
Step-by-step explanation:
(6x - 2)(6x + 2)
= (6x)(6x) + (6x)(-2) + (2)(6x) + (-2)(2)
= 36 - 12x + 12x - 4
= 36 - 4
[tex] \frac{5}{8} \div 6[/tex]
I need it in a fraction and a decimal in the simplest form
Answer:
[tex] \huge\mathfrak\pink{S} \huge\mathfrak\purple{o} \huge\mathfrak\blue{l} \huge\mathfrak\red{u} \huge\mathfrak\green{t} \huge\mathfrak\pink{i}\huge\mathfrak\purple{o}\huge\mathfrak\red{n}\huge\mathfrak\orange{:}\ [/tex]
[tex] \frac{5}{{8}{} } \div 6 = \frac{5}{48} [/tex]
=0.104166=0.1 is your answer
Maya plots the yards lost during a football game on a number line and labels it A. She plots Point B to the right of zero, a distance that is exactly as far from zero as Point A is. Which sentence is a correct statement about Point B?
The sum of the values of Point A and Point B is negative.
The sum of the values of Point A and Point B is zero.
Point B lies twice the distance from 0 as Point A.
Point B lies to the left of Point A on a number line.
Answer:
The answer is The sum of the values of Point A and Point B is zero.
Step-by-step explanation:
Answer:
The sum of the values of Point A and Point B is zero.
Step-by-step explanation:
I need help with this
Answer:
7.5
Step-by-step explanation:
8 less than the quotient of 20 and 5
Answer:
-4
Step-by-step explanation:
20/5-8 ( expression written out)
4-8=-4 (solution)
an equilateral triangle has perimeter P. The length of one side is p/3 which expression is equivalent to the length of one side?
a.) 2/3p
b.) 3/4p
c.) 1/3p
d.) 3p
Answer:
Your answer is C
Step-by-step explanation:
The line plot shows the different lengths of nails in your toolbox. If you take all the nails
that are less than 2 inches long and lay them end to end, how far will they reach?
Write the number in 2 equivalent forms as a fraction, decimal, or percent.
Answer:
The numbers 6, 9 , and 42
Step-by-step explanation:
Fraction
6/10
9/100
42/100
Decimal
0.6
0.09
0.42
Percent
60%
9%
42%
Jillian wants to figure out how much water will fit inside the water tower that is by her house. So she wants to find the volume of the water tower. True False
Answer:
True
Step-by-step explanation:
The volume of an object is the amount of matter the shape can hold, so finding how much water the tank can hold is finding the volume of the tank.
Have a great day! Hope this helps!
Answer:
True hope this helps
The perimeter of the kite is 134 cm. Find the value of x.
Answer:
x = 10 cm
Step-by-step explanation:
(3x + 2) + (3x + 2) + (4x - 5) + (4x - 5) = 134 cm
combine like terms:
14x - 6 = 134
add 6 to each side of the equation:
14x = 140
divide both sides by 14:
x = 10
start time 7:30 elapsed time 2 hours 20 minutes end time is
How much money would Julie earn for working 16 hours? 15 hours is 180$ PLEASE HELP
please help ASAPPPPP
Answer:
Maby b the 2 secoend awnser
Step-by-step explanation:
Part E
What is the volume of the fish tank? Use the formula V =lxw x h
A cereal company makes a cereal from two ingredients: wheat and oats. Each ingredient provides two essential nutrients: vitamin A and vitamin B. The company wants to know how many ounces of wheat and oats to include in each box of cereal so that the minimum requirements of 48 milligrams of vitamin A and 20 milligrams of vitamin B are satisfied. An ounce of wheat provides 10.5 milligrams of vitamin A and 2.4 milligrams of vitamin B. An ounce of oats provides 6 milligrams of vitamin A and 1.8 milligram of vitamin B. An ounce of wheat costs $0.05 and an ounce of oats costs $0.10. The company wants to minimize the total cost of production.
Find the solution to this problem using the Simplex method.
Answer:
z (min ) = 0.4167 $
x = 8,33 oz
y = 0
Step-by-step explanation:
Table:
Vitamin A Vitamin B Cost $/oz
Wheat (x) 10.5 2.4 0.05
Oats (y) 6 1.8 0.10
Requirements 48 (mg) 20 (mg)
Requirements 1,693 (oz) 0,7054 (oz)
The problem is minimized z subject to two constraint
z = 0.05*x + 0.1*y to minimize
Subject to:
Requirement of Vitamin A
10.5*x + 6 * y ≥ 48
Requirement of Vitamin B
2.4*x + 1.8*y ≥ 20
x≥0 y≥0
Using the on-line solver AtomZmaths and after 3 iterations the solution is:
z (min ) = 0.4167 $
x = 8,33 oz
y = 0
Is 3/4 closer to 0 or 1?
Answer:
It is closer to 1
Step-by-step explanation:
3/4 is 1/4 away from 1, whereas 0 is 3/4 away from 3/4. So, 1 is closer.
The fraction 3/4 is closer to 1.
We have,
To determine whether the fraction 3/4 is closer to 0 or 1, we can compare the distances between 3/4 and 0, and between 3/4 and 1.
The distance between 3/4 and 0 is 3/4.
The absolute value of the difference is |3/4 - 0| = 3/4.
The distance between 3/4 and 1 is 1 - 3/4 = 1/4.
Since the distance between 3/4 and 1/4 (which is 1/4) is smaller than the distance between 3/4 and 0 (which is 3/4), we can conclude that 3/4 is closer to 1 than to 0.
In other words, if we were to plot the fractions 0, 3/4, and 1 on a number line, the distance between 3/4 and 1 would be smaller than the distance between 3/4 and 0.
Therefore,
The fraction 3/4 is closer to 1.
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Lesson 13 Problem Set 5.4
2.
Draw rectangular fraction models of 3 >
f3x3 and
Compare multiplying a number by 3 and by 1 third.
6,6,6,6,7,7,7,7,7,7,8,8,9,9,10
Select the statement that correctly describes the data,
O A. The typical value is 7 because it is an extreme value,
B. The typical value is 15 because that is the total number of bags,
C. The typical value is 7. Most values are close to 7, and there are no
extreme values
D. The typical value is 10 because it is the maximum,
Answer:
C
Step-by-step explanation:
The typical value is 7 because it is the most common number in the data set
Urgent need help now
Answer:
a= (-5,8)
b= (-9,8)
c= (-9,5)
d= (-5,5)
What shape is always classified as a rectangle?
de una bolsa donde hay veinte bolas numeradas del 1 al 20 extraemos una, A: obtener un número par , B: obtener número primo, C: obtener un número tal que su suma de cifras sea 5,
a) comprobar que cumplan con las propiedades asociativa y distributiva en los sucesos, b) comprobar que se cumplan con las propiedades de las leyes de morgan entre los sucesos AyC , ByC, AyB , c) efectúa las siguientes operaciones en los sucesos unión entre AB, BC, AB, intersección entre AB,BC, AB, diferenciación entre AB, BA, CA, AC,