x=6
[tex]5x + 20 > 50 \\ 5x > 50 - 20 \\ 5x > 30 \\ \frac{5x}{5} > \frac{30}{5 } \\ x > 6[/tex]
A recipe calls for 72 fluid ounces of light whipping cream. If Anthony has 4.5 pints of whipping cream in his refrigerator, does he have enough for the recipe ? PLEASE ANSWER IMMEDIATELY PLEASE
Answer:
Yes, he has enough
Step-by-step explanation:
1 pint = 16 onces
4.5 * 16 = 72
Yes, he has enough
An article reports on an experiment in which each of five groups consisting of six rats was put on a diet with a different carbohydrate. At the conclusion of the experiment, the DNA content of the liver of each rat was determined (mg/g liver), with the following results:
Carbohydrate xi.
Starch 2.58
Sucrose 2.63
Fructose 2.13
Glucose 2.41
Maltose 2.49
Assuming also that Σ Σ xij^2 = 185.4, does the data indicate that true average DNA content is affected by the type of carbohydrate in the diet? Construct an ANOVA table and use a 0.05 level of significance.
Answer:
H0 is rejected, Hence the true average DNA content is affected by the type of carbohydrate in the diet between samples
Step-by-step explanation:
A B C D E
2.58 2.63 2.13 2.41 2.49
∑A=2.58 ∑B=2.63 ∑C=2.13 ∑D=2.41 ∑E=2.49
A² B² C² D² E²
6.6564 6.9169 4.5369 5.8081 6.2001
∑A²=6.6564 ∑B²=6.9169 ∑C²=4.5369 ∑D²=5.8081 ∑E²=6.2001
Calculations
Group A B C D E Total
N n1=1 n2=1 n3=1 n4=1 n5=1 n=5
∑xi T1=2.58 T2=2.63 T3=2.13 T4=2.41 T5=2.49 ∑x=12.24
∑x²i 6.6564 6.9169 4.5369 5.8081 6.2001 ∑x²=30.1184
Mean xi 2.58 2.63 2.13 2.41 2.49 Total2.448
Σ Σ xij^2 = 185.4 given
Let k = the number of different samples = 5
n=n1+n2+n3+n4+n5=1+1+1+1+1=5
Overall ˉx=12.24/5 =2.448
∑x=T1+T2+T3+T4+T5=2.58+2.63+2.13+2.41+2.49=12.24----1
Correction Factor=(∑x)²/n=12.242/5=29.9635--------(2)
∑T²i/ni=(2.582/1+2.632/1+2.132/1+2.412/1+2.492/1)=30.1184------(3)
∑x²=∑x²1+∑x²2+∑x²3+∑x²4+∑x²5
=6.6564+6.9169+4.5369+5.8081+6.2001=30.1184-------(4)
ANOVA:
Step-1 : sum of squares between samples
SSB=(∑T2i/ni)-(∑x)2/n
=(3)-(2)
=30.1184-29.9635
=0.1549
Step-2 : Total sum of squares
SST=SSB-CF
= 185.4-2.488
=182.952
Step-3 : Sum of Squares Within Samples
SSW=∑x²-(∑T²i/ni)=SST- SSB=
= 182.952-0.1549=182.7971
Step-4 : variance between samples
MSB=SSB/k-1
=0.1549/4
=0.0387
Step-5 : variance within samples
MSW=SSW/n-k
=182.7971/5-5
=36.55942
Step-6 : test statistic F for one way ANOVA test
F=MSB/MSW
=0.0387/36.55942 = 0 .001058
ANOVA table
Source Sums Degrees Mean
of Variation of Squares of freedom Squares
SS DF MS F
B/w samples SSB = 0.1549 k-1 = 4 MSB = 0.0387 0.001
Within samples SSW = 0 n-k = 0 MSW = 36.55942
Total SST = 0.1549 n-1 = 4
H0 : The true average DNA content is not affected by the type of carbohydrate in the diet between samples
Ha : The true average DNA content is affected by the type of carbohydrate in the diet between samples
F(4,0) at 0.05 level of significance =0.5
As calculated F=0.001 >0.5
So, H0 is rejected, Hence the true average DNA content is affected by the type of carbohydrate in the diet between samples
1 1/4 X 5 3/4 = _________________
Answer:
7 1/8
Step-by-step explanation:
Hope this helps
Answer: 7.1875
Step-by-step explanation:
First you would multiply the two numbers which are 1 1/4 and 5 3/4 then you would simplify that because you would get 115/16 then when you simplify you get 7.1875
Please help what does A equal
Answer:
a = 23 degrees (brainliest?)
Explanation:
supplementary line is 180 degrees
180 - 157 = 23
1 5.2.3 Quiz: Completing the Square
Question 3 of 10
Solve this quadratic equation by completing the square.
x2 + 4x = 15
Answer:
x=5/2 or x=2.5
Step-by-step explanation:
x time 2 + 4x=15
6x=15
2x=15
2x=5
Which equation of a line is parallel to the graph of y = 3x -5 and passes through the point
(1,5)?
What’s the answer (no link I give brainly)
Answer:
the answer is A
Step-by-step explanation:
I had the same question and I got it correct
The triangle represents a scale drawing that was created by using a factor of One-half. A triangle with sides lengths of 5 inches. Which is true of the measures of the sides of the original triangle? Each side of the original triangle is One-half the length of each side of the scale drawing. Each side of the original triangle is 2 times the length of each side of the scale drawing. Each side of the original triangle is the same length as each side of the scale drawing. Each side of the original triangle is 2 inches shorter than the scale drawing.
Answer:
Step-by-step explanation:
C
Answer:
D (Each side of the original triangle is 2 times the length of each side of the scale drawing.)
Step-by-step explanation:
I did it on Edge 2021.
Which expression is equivalent to
Answer:
x^6
Step-by-step explanation:
order the following list of numbers from least to greatest
Answer:
The answer is D
29/3 = 9.6 (.6 is repeating)
√94 = 9.69
49/5 = 9.8
9.8 (.8 is repeating)
ANSWER PLEASEEE I NEED HELP
Answer:
4,5,12
Step-by-step explanation:
48 square inches indicates the base area of the prism
the base area can be find in this way = dim 1 x dim 2. If we multiply 12 x 4 we can find 48 squares inches
500 meters to kilometers
Can someone please tell me what 597 ➗ 5 is
Answer:
119.4
Step-by-step explanation:
Big Brain Dude <:
Help Help Help Help Help Help Help Help!!!!
Answer:
option c is the correct answer
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Is the claim in the advert true?
[4 marks]
Answer:
www.imsorryineedpoints.org
how many times does 48 go into 123
Answer:
48 goes into 123 about 2.5625 times.
Step-by-step explanation:
To determine how many times does 48 go into 123, the following mathematical calculation must be performed, by which 123 will be divided by 48 to obtain said number of times:
123/48 = X
2.5625 = X
Therefore, 48 goes into 123 about 2.5625 times.
A runner can run 5 miles in 26 minutes at this rate how many miles can he run and 41.6 minutes?
Answer:
8 miles
Step-by-step explanation:
Given: A runner can run 5 miles in 26 minutes, 41.6 minutes = ___
To find: At this rate, how many miles can he run and 41.6 minutes?
Solution: If the runner ran 5 miles in 26 minutes, to find how far he ran in 41.6 minutes, set up a fraction:
let x be the variable
[tex]\frac{26}{5} = \frac{41.6}{x}[/tex]
Apply fraction cross multiply;
[tex]26x=5\cdot \:41.6[/tex]
[tex]26x = 208[/tex]
Divide both sides by 26
[tex]\frac{26x}{26}=\frac{208}{26}[/tex]
Simplify
[tex]x = 8[/tex]
Then, at the rate, the runner ran 8 miles 41.6 minutes
If f(x) = x and g(x) = vx, what is f(g(x) when x = -3?
Answer:
f(g(x) = -3v
Step-by-step explanation:
GIVING OUT BRAINLIEST ANSWERR HELP ME QUICK PLLSSSSS ITS ALMOST DUE HELPP !!!
Answer:
Yes, because they add up to 360
Step-by-step explanation:
If OB = 6 and AB = 8, then EA
Answer:
what is that means i think it's better to ask by take a picture
Plz help me with this ❤
Answer:
? is 51°
Step-by-step explanation:
(65 + ?)/2 = 58
Solve for ?
? = 51
can i get some help on these two questions ive been on em for a while and got nowhere with them
For the first problem, you can convert [tex]-1 \frac{7}{10}[/tex] as a decimal, which is [tex]-1.7[/tex]. I've attached an image below and the red dot should be correct plotted version.
For the second problem, you can say something like Remy should look at the mixed fraction separate when plotting a mixed fraction. That way, it'll be easier to plot.
Hope this helps :) Let me know if you have any other questions with this problem!
Owen follows the rule "divide by 2" to write the pattern below. He will write two
more numbers to complete the pattern. Which statement is true?
Grace
800, 400, 200, 100, 0, 0
Every number in the pattern will have a 0 or a 5 in its ones place.
Every number in the pattern will have a 0 or a 5 in its tens place.
Every number in the pattern will have a 0 in its ones place.
Every number in the pattern will have a 0 in its tens place.
Done -
Answer:tbh
Step-by-step explanation:
and\
Marta walked at 4.7 miles per hour for 0.83 hours. How far did she walk?
Use the Pythagorean theorem to solve for the missing side
Answer:
13
Step-by-step explanation:
a2+b2=c2
12^2+5^2=c^2
144+25=169
square root of 169
13
Need help ASAP please :)
Answer:
a(6) = 2 [tex]\sqrt{3}[/tex] , b(10) = 15 [tex]\sqrt{2}[/tex]
Step-by-step explanation:
A. a(x) = [tex]\sqrt{2x}[/tex]
a(6) = [tex]\sqrt{2(6)}[/tex]
a(6) = [tex]\sqrt{12}[/tex]
a(6) = [tex]\sqrt{4}\sqrt{3}[/tex]
a(6) = 2 [tex]\sqrt{3}[/tex]
B. b(x) = 3 [tex]\sqrt{5x}[/tex]
b(10) = 3 [tex]\sqrt{5(10)}[/tex]
b(10) = 3 [tex]\sqrt{50}[/tex]
b(10) = 3 [tex]\sqrt{25}[/tex] [tex]\sqrt{2}[/tex]
b(10) = 3 x 5 [tex]\sqrt{2}[/tex]
b(10) = 15 [tex]\sqrt{2}[/tex]
if anyone can help with just one that would be amazing.
Answer:
8. h( f(x) ) = x²+14x+52
9. h( g(x) ) = 2x
Step-by-step explanation:
These questions are asking you to sub a function into another, and you solve by doing that the same way you would with a number. For example, if question 8 was h(3) instead of h(f(x)), you would sub 3 into h(x) wherever you saw an x, and evaluate. It's the same idea here, just with functions.
8.
h(x)=x²+3
h( f(x) ) = ( f(x) )²+3
h( f(x) ) = ( x+7 )²+3
h( f(x) ) = ( x²+14x+49 )+3
h( f(x) ) = x²+14x+52
9.
h(x)=x²+3
h( g(x) ) = ( g(x) )²+3
h( g(x) ) = ( [tex]\sqrt{2x-3}[/tex] )²+3
h( g(x) ) = (2x-3)+3
h( g(x) ) = 2x
A box contains 3 defective batteries and 7 good ones. You reach in and pull out three
batteries. What is the expected number of defective batteries?
Answer:
The expected number of defective batteries to be pulled out is 0.9, which rounded to the nearest integer gives a total of 1, that is, 1 of the 3 batteries is expected to be defective.
Step-by-step explanation:
Given that a box contains 3 defective batteries and 7 good ones, and I reach in and pull out three batteries, to determine what is the expected number of defective batteries, the following calculation must be performed:
3 + 7 = 100
3 = X
10 = 100
3 = X
3 x 100/10 = X
300/10 = X
30 = X
3 x 3/10 = X
0.9 = X
Therefore, the expected number of defective batteries to be pulled out is 0.9, which rounded to the nearest integer gives a total of 1, that is, 1 of the 3 batteries is expected to be defective.
What is the midpoint of a line segment with endpoints at (2, 3) and (4,5)
Answer:
(3, 4)
Step-by-step explanation:
First, find the x coordinate of the midpoint by finding the average of the two x values:
(2 + 4) / 2
6 / 2
= 3
Find the y coordinate of the midpoint by finding the average of the two y values:
(3 + 5) / 2
8 / 2
= 4
So, the x coordinate of the midpoint is 3 and the y coordinate is 4.
The midpoint is (3, 4)
Use the normal distribution and the given sample results to complete the test of the given hypotheses. Assume the results come from a random sample and use a 5% significance level.
Test H0: p = 0.25 vs Ha: p < 0.25 using the sample results p(hat) = 0.15 with n = 102
Round your answer for the test statistic to two decimal places, and your answer for the p-value to three decimal places.
Answer:
Test statistic = - 2.33
Pvalue = 0.010 (3 decimal places)
Step-by-step explanation:
Given :
H0: p = 0.25 vs Ha: p < 0.25
Phat = 0.15
Sample size, n = 102
α = 0.05
The test statistic :
(Phat - p) / (√p(1 - p) /n)
1 - p = 1 - 0.25 = 0.75
(0.15 - 0.25) / (√0.25(0.75) /102)
-0.1 / √0.0018382
-0.1 / 0.0428742
Test statistic = - 2.33
The Pvalue using the test statistic score obtained :
P(Z < - 2.33) = 0.0099031 = 0.010
Pvalue < α ; Reject H0