Are these ratios equivalent?
1 teacher to 9 students
5 teachers to 45 students
Answer: yes the ratios 1:9 and 5:45 are equivalent.
Step-by-step explanation:
1:9*5:5=5:45
U got any more math questions that I can answer? I’m really bored and I have to stay busy!
Wheaties cereal is claimed to have an average of 3 grams of dietary fiber per serving. We want to test this hypothesis and to see whether we believe that is true or that the mean amount of fiber is significantly different from 3 grams. A random sample of 25 servings was taken and it yielded a sample mean of 3.4 grams with the sample standard deviation in the amount of fiber, s = .8 grams.
Assume that software has determined the p-value to be.02.
What would your decision be on this hypothesis test if everything is the same except that we change the level of significance for the test to.01?
Fail to reject the null hypothesis at the 1% level of significance.
Reject the null hypothesis at the 1% level of significance,
Answer:
The calculated value t = 2.5>2.326 at 0.01 level of significance
The null hypothesis is rejected at a 0.01 level of significance.
Wheaties cereal is not claimed to have an average of 3 grams of dietary fiber per serving
Step-by-step explanation:
Step(i):-
Given that the average of dietary fiber per serving μ = 3 grams
Given that the mean of the sample x⁻ = 3.4 grams
Given that the standard deviation of the sample (S) = 0.8 grams
Level of significance = 0.01
Critical value = 2.326
Step(ii):-
Null hypothesis: H₀: μ = 3 grams
Alternative Hypothesis: H₁: μ ≠ 3 grams
Tets statistic
[tex]t = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }[/tex]
[tex]t = \frac{3.4-3 }{\frac{0.8}{\sqrt{25} } }[/tex]
t = 2.5
The calculated value t = 2.5>2.326 at 0.01 level of significance
The null hypothesis is rejected at a 0.01 level of significance.
Final answer:-
Wheaties cereal is not claimed to have an average of 3 grams of dietary fiber per serving
Can someone help please ASAP
Answer:
U need to draw a triangle
Step-by-step explanation:
Find the least common multiple (LCM) for the pair of numbers 6 and 18
Answer:
the lcm is 6
Step-by-step explanation:
6 divided by 3 is 1
18 divided by 3 is 6
6 becomes 3 and 2
Answer:
18
Step-by-step explanation:
Since the question is asking for the least common multiple, you factor out the 6 in 18 and 6. This gives you 631 as the LCM because you have factored out 6 and this is the GCF because there are no more common factors between 3 and 1. Since 631 equals 18, 18 is the LCM
4th grade math please help
Answer:
Number one is D and Number 3 is also D
Step-by-step explanation:
Answer:
Hi
Step-by-step explanation:
How is solving a two-step INEQUALITY similar to and different from solving a two-step EQUATION?
Answer:
there both similar by using inverse operations to isolate the variable term by using addition or subtraction and multiplying or dividing to solve for the variable .
the difference is for an inequality if u multiply or divide by a negative number then u have to reverse the inequality symbol, for regular equations u don't have to do that , and for regular equations there is a equal sign and not a inequality symbol
Step-by-step explanation:
just explained it above
hope I helped ! pls mark me brainlest if I got it right thanks :)
What is the volume? 3 m 1 m cubic meters
Answer:
9 cubic meters
Step-by-step explanation:
V = lwh
V = 1 by 3 by 3
Answer:
9 cubic meters
Step-by-step explanation:
1x3x3=9
10% of ___ is 14
what is the number
Answer:
140 :)
Hope this helps
Step-by-step explanation:
Tell me if I am right
which table shows a relationship between the values of x and y that represents a linear function?
PLEASE HELP !! ILL GIVE BRAINLIEST !! 100 POINTS
Evaluate the expression: –5 + 280 + 62.
Answer:
the answer is 337
Step-by-step explanation:
-5 + 280 + 62
= 337
Answer:
337
Step-by-step explanation:
-5 plus 280 is 275
275 + 62 is...
337
Can someone solve for x? And maybe explain it in a simple way?
Answer:
x=10
Step-by-step explanation:
Because of the two parallel lines, the ratio between the sides must be the same. Since the bottom is 12 to 18 (a ration of two to three) we know that x and x+5 would have the same ratio. Logically, x would have to equal 10 so that x+5 would equal 15 and a ratio of two to three would exist there too. If you go to solve a problem and the answer isn’t obvious, jut set up a ratio.
12/18=x/(x+5)
then cross multiply and solve
12(x+5)=18x
12x+60=18x
60=18x-12x
60=6x
10=x
Answer:
x=10
Step-by-step explanation:
You can set it up as a proportion, since the lines are parallel, the sections are proportionate to each other.
[tex]\frac{x}{12} = \frac{x+5}{18} \\18x=12(x+5)\\18x=12x+60\\6x=60\\x=10[/tex]
1413 A B 1 1 1 2 1 1 1 Each lunch must provide at least 6 units of fat per serving, no more than 7 units of protein, and at least 10 units of carbohydrates. The institution can purchase food A for $0.12 per ounce and food B for $0.08 per ounce. How many ounces of each food should a serving contain to meet the dietary requirements at the least cost
Solution :
It is given that a large institution is preparing food menus which contains foods A as well as B.
Each lunch provides :
10 units of carbohydrates
6 units of fats
7 units of proteins
The food from A cost = $0.12 per ounce
And food from B cost = $0.08 per ounce
Objective function :
[tex]$C= 0.12x+0.08y$[/tex]
Constraints : [tex]$x\geq 0, y \geq 0, x+y \geq 6, 2x+y \geq 10, x+y \leq 7$[/tex]
Domain : [tex]$3 \leq x\leq 7$[/tex]
Range : [tex]$0\leq y\leq4$[/tex]
PLEASE HELP ASAP REAL ANSWERS ONLY OR WILL BE DELETED! 20 PTS!!
Find the height in centimeters of a square pyramid with a volume of 296 cm3 and a base edge length equal to the height. Give the approximate answer rounded to 2 decimal places.
Answer:
9.61cm
Step-by-step explanation:
Let height be x thus length will also be x
since the base is a square the width and length are also equal.
volume of pyramid=length×width×height
3
296cm³=x×x×x
3
296×3=x³
888=x³
x= cube root of 888
x=9.61cm
What is the approximate value of this logarithmic expression?
9514 1404 393
Answer:
B. 1.80
Step-by-step explanation:
The change of base formula can be used.
[tex]\log_5(18)=\dfrac{\log{18}}{\log{5}}\approx\dfrac{1.25527}{0.69897}\approx1.7959\\\\\boxed{\log_5{18}\approx1.80}[/tex]
_____
Some calculators can compute the value for you directly.
what is the area of the composite figure
Answer:
D) 476 ft²
Step-by-step explanation:
12x14=168
(25+31)/2=28
28x11=308
308+168=476
A bag of potatoes weighs 15 pounds. How many kilograms is this?
Answer:
6.8 kg
Step-by-step explanation:
1 pound = 0.4536 kg
15(0.4536) = 6.804
Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 2500 grams and a standard deviation of 700 grams while babies born after a gestation period of 40 weeks have a mean weight of 3100 grams and a standard deviation of 390 grams. If a 34-week gestation period baby weighs 2950 grams and a 41-week gestation period baby weighs 3550 grams, find the corresponding z-scores. Which baby weighs more relative to the gestation period
Answer:
Z-score for 34-week baby = 0.643
Z-score for 41-week baby = 1.154
Baby weight of 41-week is more than the baby weight of 34-week in the gestation period.
Step-by-step explanation:
Given - Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 2500 grams and a standard deviation of 700 grams while babies born after a gestation period of 40 weeks have a mean weight of 3100 grams and a standard deviation of 390 grams. If a 34-week gestation period baby weighs 2950 grams and a 41-week gestation period baby weighs 3550 grams
To find - Find the corresponding z-scores. Which baby weighs more relative to the gestation period.
Proof -
Given that,
In between period of 32 to 35 weeks
Mean = 2500
Standard deviation = 700
In between after a period of 40 weeks
Mean = 3100
Standard deviation = 390
Now,
For a 34-week baby,
X = 2950
For a 41-week baby,
X = 3550
Now,
Z-score = (X - mean) / Standard deviation
Now,
For a 34-week baby,
Z - score = (2950 - 2500) / 700 = 0.643
For a 41-week baby,
Z-score = (3550 - 3100) / 390 = 1.154
∴ we get
Z-score for 34-week baby = 0.643
Z-score for 41-week baby = 1.154
As 1.154 > 0.643
So,
Baby weight of 41-week is more than baby weight of 34-week in the gestation period.
Are 20,30, and 16 the sides of a right triangle? Please show workkk
The length of a rectangle is 4 inches less than its width and the area is 21 square inches. Find
the smallest dimension of the rectangle.
Please help I’ll mark you as brainliest if correct!
A
B
C
D
Answer:
A is the answer
Step-by-step explanation:
Solve the following right triangle. Round to the nearest tenth.
Winston bought an encyclopedia priced at $42. Shipping and handling cost anadditional 30% of the price. What was the total cost of the encyclopedia, in cluding shipping and handling?
Answer:
42.3
Sorry I haven't been answering your questions I'm just behind on homework.
Using the diagram, which fraction is equivalent to 1?
Answer:
5/5
Step-by-step explanation:
A random sample of house sizes in major city has a sample mean of
Answer:
A random sample of house sizes in major city has a sample mean of ¯x=1204.9 x ¯ = 1204.9 sq ft and sample standard deviation of s=124.6 sq ft. Use the Empirical Rule to determine the approximate percentage of house sizes that lie between 955.7 and 1454.1 sq ft.:
Distributive Property step by step 3x(x-1) tHxs
Answer:
3x² - 3x
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
3x(x - 1)
Step 2: Expand
Distributive Property: 3x(x) + 3x(-1)Multiply: 3x² - 3xhelp. Julie would like to measure the variability among her classmates in her sixth-grade science class. Which of the following questions would help Julie best show the variability among her classmates? O What is the name of your science teacher? O What grade are you in? O What is your height? What school do you go to?
Answer:
d. what school do you go to?
Step-by-step explanation:
ou are going to estimate how long a person holds down a button on their calculator by randomly selecting people and asking them to do something on your calculator (which has a special timer to record how long the enter button is pressed). You practiced on the people at work and found a standard deviation of about 0.59 seconds. You want to get a 95% confidence interval that is only 0.12 in width. How many people do you need to have in your study
Answer:
Привет! Кто-нибудь читал Криспину крест ведущего? Если да, то может ли кто-нибудь дать мне представление о том, как он изменился в этой истории! Спасибо за ваше время!
Step-by-step explanation:
This angle cuts out
1/4
of the circle. Find the measure of the angle.
Answer:
90 degreees
Step-by-step explanation:
According to a survey conducted by the technology market research firm The Radicati Group, U.S. office workers receive an average of e-mails per day (Entrepreneur magazine website). Assume the number of e-mails received per hour follows a Poisson distribution and that the average number of e-mails received per hour is five. a. What is the probability of receiving no e-mails during an hour (to 4 decimals)
Answer:
the probability is 0.0067
Step-by-step explanation:
The computation of the probability of receiving no e-mails during an hour is shown below;
Let us assume x be the number of emails received during an hour
Now the probability of receiving no e-mails is
= e^-5 × 5^0÷ 0!
= e^-5 × 1 ÷ 1
= e^-5
= 0.00674
= 0.0067
Hence, the probability is 0.0067