Answer:
x = 24 in
Step-by-step explanation:
The corresponding sides of similar triangle will be in same proportion.
[tex]\frac{x}{8}=\frac{15}{5}\\\\\frac{x}{8}=3\\\\x = 3*8\\x = 24[/tex]
Step-by-step explanation:
x/15 = 8/5
x = 15 * 8 / 5
x = 24
answer
x = 24 in
Find the inverse of the following function. g(x) = 1/x - 2
plz show work
A.) g^-1(x) = - 2/x-1
B.) g^-1(x) = 2/x-1
C.)g^-1(x) = 1/x+ 2
D.) g^-1(x) = 2/x+1
Answer: C. g^(-1) (x)= 1/(x+ 2)
Step-by-step explanation:
y=1/x-2
x=1/y-2
1/y-2=x
1/y=x+2
1=(x+2)y
1=xy+2y
xy+2y=1
(x+2)y=1
y=1/(x+2)
answer: g^(-1) (x)= 1/(x+ 2)
9.
If a 1000-cm string is cut into the ratio of 1: N:2, what is N?
Answer:
The N is 1
Step-by-step explanation:
The computation of N is given below:
Given that there is a 1,000 cm string
That cut into the ratio of 1:N:2
So if we considered the N be 1
1,000 = 1:1:2
So it would be 250 + 250 + 500 = 1000
Hence, the N be 1
So the same is relevant
Using the ratio principle, the value of N in the expression would be 2.
Given that, the length of the string = 1000 cm :
Ratio = 1 : N : 2
Since none of the value of the ratios are given, then N could be a value such as 2 ;
If N = 2 ;
Ratio total = (1 + 2 + 2) = 5(1000 / 5) × 1 = 200 cm
(1000 / 5) × 2 = 400 cm
(1000 / 5) × 2 = 400 cm
Hence, the value of N in the expression is 2.
Learn more : https://brainly.com/question/24423994
Jacob spent 24% of his allowance last week. What fraction of his allowance did Jacob spend? Write the answer in simplest form.
6/25
Step-by-step explanation:
24/100
both can be multiplyed or divided by 4 and that is the lowest.
so
24÷4=6
100÷4=25
Two puppies, Ruth and Scoonsie, are playing together. Scoonsie weighs 111111 kilograms, and Ruth is lighter than Scoonsie.
Write an inequality that describes r, Ruth's weight in kilograms.
Answer:
[tex]r < 11[/tex]
Step-by-step explanation:
Given
Represent Ruth with r and Scoonsie with s
[tex]s = 11kg[/tex]
Required
Represent Ruth's weight as an inequality
From the question, Ruth weighs lesser than Scoonsie. This is represented as:
[tex]Ruth < Scoonsie[/tex]
For proper representation, it is:
[tex]r < s[/tex]
Substitute 11 for s
[tex]r < 11[/tex]
The above inequality represents Ruth's weight
how to get from 4 to 4/3
The Ice Chalet offers dozens of different beginning ice-skating classes. All of the class names are put into a bucket. The 5 P.M., Monday night, ages 8 to 12, beginning ice-skating class was picked. In that class were 64 girls and 16 boys. Suppose that we are interested in the true proportion of girls, ages 8 to 12, in all beginning ice-skating classes at the Ice Chalet. Assume that the children in the selected class are a random sample of the population.
Required:
Construct a 92% Confidence Interval for the true proportion of girls in the ages 8-12 beginning ice-skating classes at the Ice Chalet.
Answer:
The answer is "(0.73,0.87)".
Step-by-step explanation:
Given:
number of girls[tex]= 64[/tex]
number of boys[tex]= 16[/tex]
Total number of children[tex]= 64+16= 80[/tex]
So,[tex]n=80[/tex]
Calculating the value of the proportion which is given by girls:
[tex]\hat{p}= \frac{\text{number of girls}}{\text{total number of childrens}}[/tex]
[tex]=\frac{64}{80}\\\\=\frac{8}{10}\\\\= 0.8[/tex]
Therefore the confidence interval is:
[tex]\to \hat{p}\pm z_{(1-\frac{\alpha }{2})}\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}\\\\\to 0.8 \pm 1.75\sqrt{\frac{0.8(1-0.8)}{80}}\\\\\to 0.8 \pm 1.75 \sqrt{\frac{0.8(0.2)}{80}}\\\\\to 0.8 \pm 1.75 \sqrt{\frac{0.16}{80}}\\\\\to 0.8 \pm 1.75 \sqrt{0.002}\\\\\to 0.8 \pm 1.75 (0.04)\\\\\to 0.8 \pm 0.07\\\\\to (0.73,0.87)[/tex]
[tex]\therefore \\\\\text{The lower confidence limit} = 0.73\\\\\text{The upper confidence limit} = 0.87\\[/tex]
Lin ran 2 3/4 miles in 2/5 of an hour
Noah ran 8 2/3 miles in 4/3 of an hour
Who ran faster?
Answer:
Lin runs faster
Step-by-step explanation:
Lin: 11/4 ÷ 2/5 = 11/4 · 5/2 = 55/8 or 6.875 mph
Noah: 26/3 ÷ 4/3 = 26/3 · 3/4 = 13/2 or 6.5 mph
5. Mai attempted 40 free throws and was successful 25% of them. How many free throws did
she make?
Answer:
10 were successful
Step-by-step explanation:
40x25%=10
Answer:
10
Step-by-step explanation:
40*.25 = 10
What is the area of the composite figure?
Hello! :)
[tex]\large\boxed{A = 32.5cm^{2}}[/tex]
We can use the following area to solve for the area of the trapezoid pictured:
[tex]A = \frac{1}{2}(b_{1} + b_{2})h[/tex]
Where:
h = height
b1 = bottom base
b2 = top base
Plug in the given values:
[tex]A = \frac{1}{2}(9 + 4)(5)[/tex]
Simplify:
[tex]A = \frac{1}{2}(65)\\\\A = 32.5 cm^{2}[/tex]
Every month, $45 is withdrawn from tom's savings account to pay his gym membership. He has enough savings to withdraw no more than $360. For how many months can Tom pay for his gym membership?
Answer: 8 months.
Step-by-step explanation: Assuming his budget for the gym membership is $360, by dividing 360 (His budget) by the monthly cost of 45, it should leave a quotient of 8. Thus meaning he can pay for 8 months worth of gym membership.
Answer:
8 mounths
Step-by-step explanation:
Since he has $360 saved and he has to pay $45 for each month that means that in order to find out for how many months Tom can go to the jym we just have to divide 260 by 45 and so be get...
360 / 45 = 8
He be having more drip thin connies
Answer:
i dont even know to be honest but why ask dat
Step-by-step explanation:
Answer:
He validdddddddd
A manager has hired a consultant to compare two ways a product is presented to customers. Twelve customers are presented with each product. What would be the roles of descriptive and inferential statistics in the analysis of these data
Answer:
The role of descriptive statistics in data analysis is to provide descriptions of the population characteristics, using numerical calculations, graphs, and tables. Descriptive statistics describe what is going on in a population or data set.
On the other hand, inferential statistics make predictions and draw inferences about a population using the population sample.
Step-by-step explanation:
The two types of statistics are descriptive statistics and inferential statistics. Descriptive statistics describe sets of data, allowing patterns to emerge from the data. These also enable the presentation of the data in a more meaningful way, allowing for simpler interpretation of the data. Two types of descriptive statistics help in this regard. They are measures of central tendencies and measures of spread. Inferential statistics draws conclusions about the sets of data based on sampling, allowing for the making of generalizations and testing of hypotheses.
Which ordered pair is the solution to the system of linear equations y=-7x+2 and y = 9x-14?
(-5,1)
(1.-5)
(5,-1)
O (-1.5)
Answer:
(1,-5)
Step-by-step explanation:
you see ; equation 1 = equation 2
because it both = y
so,
-7x+2 = 9x-14
2+14 = 9x+7x (change side for easier solutions)
16 = 16x
x = 16÷16
x = 1
you can find x, so from choice it has only choice that x = 1
so you can answer!
hope it helps ☺️
Solve for x. (11x-47) (6x-2)
Answer:
6 6 2 − 3 0 4 + 9 4
Step-by-step explanation:
PLEASE ANSWER ASASP FOR BRAINLEST!!!!!!!!!!!!!!
what kind of figurative language is stanza 86?
86. Is heard the tramp of his steed as he rides.
I really need help on this question
Answer:
[tex]36 + 3x + 48 = 180 \\ 3x + 84 = 180 \\ 3x = 96 \\ x = 32[/tex]
What is 0.000000000525 in scientific notation?
A.
B.
C.
D.
Answer: Hello there!
It is 5.25 x .10^-10
Hope This Helps You!
Good Luck :)
Step-by-step explanation:
Fill in the blank to make the number sentence true. Explain how you know. ?/3 x 11 > 11
Answer:
6
Step-by-step explanation:
Answer:
6/3 x 11 > 11
Step-by-step explanation:
The sum of three numbers is 15 the second number is 2 times the first the 3rd nimber is 30 less than the second what is the third number
Answer:
i think about it
Step-by-step explanation:
This question is geometry
Answer:
Its 138
Step-by-step explanation:
LOL
Please solve this for 15 points explain please
Answer:
1.25 cups
Step-by-step explanation:
Since you have 5 5/8 cups = 4 1/2 water bottles
you can make it
5.625 cups = 4.5 water bottles
Then, all you have to do is divide both sides of this equation by 4.5, so
5.625 / 4.5 = 1 water bottle
1.25 cups = 1 water bottle
40 POINTS PLEASE HELP
Answer:
Step-by-step explanation:
Y = 10
C = 40
D = 76
Answer: Okay found the answer hope I am not too late
Step-by-step explanation:
Y is 10
C is 40
D is 76
Hope this helps!
Hiiiii wassup I need helppppp T-T
What do the words “some number less” mean?
Answer: a # less i beleavie...
adjective. innumerable; countless; myriad. without anumber
Choose the slope-intercept from of Y+3=4(x-5)
Answer:
y=4x-23
Step-by-step explanation:
Find the area of the circle. Round your answer to the nearest tenth. The circle has a radius of 9
Answer:
I is at least ten because of nine it rounds to ten
The probability of eating a sugar cookie is 0/35
the chance of eating a sugar cookie is ____
Answer:
0
Step-by-step explanation:
Well if the probability is 0 then the chance is 0
(-3/4) divided by 2/9 =
Please show steps.
Answer:
-27/8
Step-by-step explanation:
Dividing fractions is the same as multipling the first fraction by the reciprocal of the second fraction (the numerator and denomiator are flipped).
= -3/4 x 9/2
= -27/8
You can simplify this if you want so it's not a mixed fraction
= -3 3/8
There were 39 apples and 29 oranges at the grocery store. Write the ratio of apples to oranges
Answer:
39 over 29 or 39 to 29
Step-by-step explanation:
Samuel is going to invest $1,700 and leave it in an account for 16 years. Assuming the
interest is compounded daily, what interest rate, to the nearest tenth of a percent,
would be required in order for Samuel to end up with $3,100?
Answer:
4%
Step-by-step explanation:
Given data
principal= $1,700
time= 16 years
final amount= $3,100
Applying the compound interest formula we have
r = (A/P)^1/t - 1
substitute
r=3100/1700^1/16-1
r=1.82^0.0625-1
r=1.038-1
r=0.038
Hence the rate is 0.038*100
=3.8
=4%
Answer: 3.8%
Step-by-step explanation:
Suppose that the mean Systolic blood pressure for adults age 50-54 is 125 mmHg with a standard deviation of 5 mmHg. It is known that Systolic blood pressure is not Normally distributed. Suppose a sample of 25 adult Systolic blood pressure measurements is taken from the population. What is the interpretation of the z score used to find the probability that the average Systolic blood pressure will be less than 122 mmHg
Answer:
The probability cannot be determined.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal probability distribution
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this question:
We have a sample of size less than 30, and since the distribution is not normal, the central limit theorem cannot be used, and the probability cannot be determined.