Answer:
[tex](a)\ c(x) = 39 + 0.09 x[/tex]
[tex](b)\ \$53.4[/tex]
Step-by-step explanation:
Given
[tex]Base\ Charge = \$39[/tex]
[tex]Rate = 0.09[/tex] per mile
Solving (a): Linear Equation
The total charges (c(x)) is: the base charge + the rate * number of miles (x).
So, we have:
[tex]c(x)= 39 + 0.09 * x[/tex]
[tex]c(x) = 39 + 0.09 x[/tex]
Solving (b): Cost of rent, if miles = 160
This implies that x = 160
So, we have:
[tex]c(x) = 39 + 0.09 x[/tex]
[tex]c(160) = 39 + 0.09 *160[/tex]
[tex]c(160) = 39 + 14.4[/tex]
[tex]c(160) = 53.4[/tex]
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.
500 meters to kilometers
Please help what does A equal
Answer:
a = 23 degrees (brainliest?)
Explanation:
supplementary line is 180 degrees
180 - 157 = 23
Which equation of a line is parallel to the graph of y = 3x -5 and passes through the point
(1,5)?
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)
Consider the points plotted on the number line shown below
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
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)
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\
Help Help Help Help Help Help Help Help!!!!
Answer:
option c is the correct answer
Home pregnancy tests, like all medical tests, are not perfectly accurate. Suppose one such test has an accuracy level such that if a woman is pregnant there is a 12% chance that the test will fail to show it. On the other hand, if the woman is not pregnant there is still a 3% chance that the test will incorrectly say that she is. Show all the steps including identification of what formulas/properties you used. Points will be deducted from answers if only the final answer is provided.
a) If Joan is pregnant what is the chance that the test will detect it?
b) Based on other factors, Joan estimates there is an 80% chance that she is pregnant.
Therefore, Joan takes a pregnancy test. What is the probability that the test will indicate that she is pregnant?
c) Joan looks at the test result and it does indicate that she is pregnant. Given this test result, what is the probability that she is pregnant?
d) Pamela has also taken this particular home pregnancy test. Before taking the test, she estimated there was a 75% chance that she
Answer:just go to the doctor
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:
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
Marta walked at 4.7 miles per hour for 0.83 hours. How far did she walk?
Plz help me with this ❤
Answer:
? is 51°
Step-by-step explanation:
(65 + ?)/2 = 58
Solve for ?
? = 51
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
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.
In 2002, the manufacturers of M&M's surveyed people from around the world and asked them to vote for a new color: purple, aqua, or pink. In the United States, 42% of those who voted said purple, 37% said aqua, and 19% said pink. What's the probability that a randomly picked survey respondent from the United States preferred purple or pink?
Answer:
don't know
Step-by-step explanation:
dont know...........
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]
The probability that the patient recovers from a rare deadly disease is 40% and failure to recover is 60%.If 15 people contracted this disease what is the probability that a. 5 will survive? b. 8 will survive? c.12 will survive?(complete solution)
Answer:
a) 0.1859 = 18.59% probability that 5 will survive.
b) 0.1181 = 11.81% probability that 8 will survive.
c) 0.0016 = 0.16% probability that 12 will survive.
Step-by-step explanation:
For each patient, there are only two possible outcomes. Either they survive, or they do not. The probability of a patient surviving is independent of any other patient. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
The probability that the patient recovers from a rare deadly disease is 40%
This means that [tex]p = 0.4[/tex]
15 individuals
This means that [tex]n = 15[/tex]
a. 5 will survive
This is P(X = 5). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 5) = C_{15,5}.(0.4)^{5}.(0.6)^{10} = 0.1859[/tex]
0.1859 = 18.59% probability that 5 will survive.
b. 8 will survive
This is P(X = 8). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 8) = C_{15,8}.(0.4)^{8}.(0.6)^{7} = 0.1181[/tex]
0.1181 = 11.81% probability that 8 will survive.
c.12 will survive
This is P(X = 12). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 12) = C_{15,12}.(0.4)^{12}.(0.6)^{3} = 0.0016[/tex]
0.0016 = 0.16% probability that 12 will survive.
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
Without using the formula, work out the gradient of the graph shown.
Give your answer in its simplest form.
9514 1404 393
Answer:
3/4
Step-by-step explanation:
The x- and y-intercepts are -4 and +3, respectively. These indicate a rise of 3 units for a run of 4 units. The gradient is the ratio of rise to run (sorry, that is the formula), so is ...
gradient = 3/4
If OB = 6 and AB = 8, then EA
Answer:
what is that means i think it's better to ask by take a picture
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
Can someone please tell me what 597 ➗ 5 is
Answer:
119.4
Step-by-step explanation:
Big Brain Dude <:
Please help me with this answer
9514 1404 393
Answer:
x = 12∠H = 94°Step-by-step explanation:
The marked angles are supplementary, so ...
(5x +26)° +(8x -2)° = 180°
13x = 156 . . . . . . . . . . . . . . divide by °, subtract 24
x = 12 . . . . . . . . . . . divide by 13
∠H = (8x -2)° = (8·12 -2)°
∠H = 94°
Which expression is equivalent to (see the picture)
A. 20x-21y +14
B. 20x + 11y + 14
C. 20x - 11y + 6
D. 20x + 21y +6
Consider this data set.
13, 17, 21, 3, 14, 34, 22, 20, 16, 19, 15
Which data values are outliers?
Select each correct answer
3
13
15
34
Answer:
3 and 34
Step-by-step explanation:
they are the extremes in this, you want to look for out of place numbers when dealing with outliers
Which expression is equivalent to
Answer:
x^6
Step-by-step explanation:
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