Answer:35in.
Step-by-step explanation:
I reccomend splitting it into sections when given problems like this.
The smaller two rectangles would be 5in * 2in which is 10in then just add them together.
For the bigger one, you'd do 5-2 in order to get the missing inches which will be 3+2 once added 5in*3in is 15in.
Finally, add 15+10+10 (15=The middle rectangle and 10=the sides)
Answer:
Break it up into pieces. The answer is 35in^2
Step-by-step explanation:
I took the first rectangle you see which is 5in by 2. Multiply that and you get 10
I then took the second one and is the 5 in by 3in. Multiply those and you get 15
The last one is the exact same as the first one
Add the areas all together and you get the area of the whole shape
Hope that helps
Please fill in the blanks on the math problems.
Answer:
13) a and b, b and c
14) a = 59°, b = 121°, c = 59°
15) a = 45°, b = 135°, c = 135°
16) a = 72°, b = 108°, c = 108°
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.
−4x + 2y < 10 in slope intercept
Answer:
y < 2x + 5
Step-by-step explanation:
The format for slope intercept is y = mx + b. In this case, it is y < mx + b. Your equation is -4x + 2y < 10. First, start by adding 4x to -4x. This gets rid of that number on the left so it can just be 2y. Now, add that 4x to the right side of the equation. You are left with 2y < 4x + 10. The final step is to divide 2 from 2y. Since you are doing this step on the left side of the equation, you must now do it to the right. After also dividing 2 from 4x and 10, your final answer is y < x +5.
A small class has 10 students. Five of the students are male and 5 are female. I write the
name of each student on a 3 by 5 card. The cards are shuffled thoroughly and I choose one
at random, observe the name of the student, and replace it in the set. The cards are
thoroughly reshuffled and I again choose a card at random, observe the name, and replace it
in the set. This is done a total of four times. Let X be the number of cards observed in these
four trials with a name corresponding to a male student. The random variable X has which of
the following probability distributions?
Options are;
A) the Normal distribution, with mean 2 and variance 1
B) the binomial distribution, with parameters n = 4 and p = 0.5
C) the poisson distribution, with parameters λ = 4/10
D) none of the above
Answer:
B) the binomial distribution, with parameters n = 4 and p = 0.5
Step-by-step explanation:
Number of times card is shuffled is 4 times. Thus; n = 4
X is the number of cards in the time shuffled that corresponds to a male.
We are told there are 10 students and 5 are male and 5 female.
Thus, probability that it corresponds to a male is;
P(corresponding to a male) = 5/10 = 0.5
According to binomial probability distribution, the parameters are;
p = 0.5
n = 4
q = 1 - 0.5 = 0.5
An object is moving at a speed of 7100 kilometers per minute. Express this speed in miles per second
Answer:
73.5
Step-by-step explanation:
7100 km = 4411.735 miles 1 minute = 60 secs 4411.735/60 = 73.5 miles/sec.
Forty families gathered for a fund-raising event. Suppose the individual contribution for each family is normally distributed with a mean and a standard deviation of $105 and $40, respectively. The organizers would call this event a success if the total contributions exceed $4,600. What is the probability that this fund-raising event is a success
Answer:
0.0571 = 5.71% probability that this fund-raising event is a success
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score 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 p-value, 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.
The organizers would call this event a success if the total contributions exceed $4,600
Forty families, so sample mean above 4600/40 = 115.
Mean and a standard deviation of $105 and $40
This means that [tex]\mu = 105, \sigma = 40[/tex]
Sample of 40
This means that [tex]n = 40, s = \frac{40}{\sqrt{40}} = 6.3246[/tex]
What is the probability that this fund-raising event is a success?
Sample mean above 115, which is 1 subtracted by the pvalue of Z when X = 115. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{115 - 105}{6.3246}[/tex]
[tex]Z = 1.58[/tex]
[tex]Z = 1.58[/tex] has a pvalue of 0.9429
1 - 0.9429 = 0.0571
0.0571 = 5.71% probability that this fund-raising event is a success
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
a spreadsheet is _____.
Answer:
Step-by-step explanation:
a calculator spread out :P or maybe many calculators.. oh... it's a matrix of calculators... yes..
Answer:
software used to input, track, and calculate numbers
Step-by-step explanation:
Edge 2021
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
A bi-monthly sports magazine has 48,000 subscribers when it charges $20 for a one year subscription. For every $1 increase in the yearly subscription price, the magazine assumes that it will lose 2,000 subscribers resulting in the equation below. Using the equation below, how much should the magazine sell for in order to maximize revenues? f (x) = (48,000 – 2,000x) (20 + x)
Answer:
To maximize the profits of the company, the subscription price should be raised to $ 22.
Step-by-step explanation:
Given that a bi-monthly sports magazine has 48,000 subscribers when it charges $ 20 for a one year subscription, and for every $ 1 increase in the yearly subscription price, the magazine assumes that it will lose 2,000 subscribers resulting in the equation below, to determine, Using the equation below, how much should the magazine sell for in order to maximize revenues, the following calculations should be performed:
f (x) = (48,000 - 2,000x) (20 + x)
X = 48,000 x 20 = 960,000
X = (48,000 - 2,000x1) x (20 + 1)
X = 46,000 x 21
X = 966,000
X = (48,000 - 2,000x2) x (20 + 2)
X = 44,000 x 22
X = 968,000
X = (48,000 - 2,000x4) x (20 + 4)
X = 40,000 x 24
X = 960,000
Therefore, to maximize the profits of the company, the subscription price should be raised to $ 22.
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]
10% of ___ is 14
what is the number
Answer:
140 :)
Hope this helps
Step-by-step explanation:
Tell me if I am right
a sales clerk wants to make at least $519 . If he makes a base salary of $335 and $10.25 per hour at his part time job how many hours will he have to work?
Answer:
18 hours at least to reach the goal
Step-by-step explanation:
Well 519 is the lowest objective so lets aim for that
we can make an equation
since base pay is 335 that doesn’t change
We can make x for hours
335+10.25x ≥ 519
SO it can exactly equal or be greater
You’d get 17.95121... and you can’’t work 17.95121 hours so it has to be 18.
You are standing on the ground (height of 0) and kick a ball across the park with an initial velocity of 64 feet per second. Using the vertical motion model, calculate each of the following: Don't forget units
a. What is the highest height the ball reaches?
b. When will the ball be at the highest height?
c. How long is the ball in the air?
I need this question to be answered it's 30 points and please no links just leave the answer
Are 20,30, and 16 the sides of a right triangle? Please show workkk
In the triangle below,
x = [ ? ] cm. Round to the
nearest tenth.
15 cm
х
350
9.00
y
Answer:
x=8.6
Step-by-step explanation:
x=8.6
Help please will mark brainliest!!
Answer:
5,4 km
Step-by-step explanation:
we know the area and the width.
the formula of the area of a parallelogram is
A = length x width
if we substitute the values that we know, we have
23,1 = x * 4,3
to find x we have to divide the two members by 4,3
x = 23,3/4,3 = 5,4 km
Is this correct? Can someone help me pls
Answer:
ye
Step-by-step explanation:
I need help on the pcture
Answer:
Where is it?
Step-by-step explanation:
If the common ratio of a geometric sequence is less
than 0, what do you know about the signs of the
terms of the sequence? Explain.
Answer:
Step-by-step explanation:
it's going to alternate back and froth between positive and negative, maybe it will make one of those "telescoping" sequences
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
x+12=31 solve for x i’m in a breakout room i have limited time to finish this
Answer: x=19
Step-by-step explanation:
x=31-12
x=19
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
What is twenty thousand, six hundred two in expanded form?
Answer:
20,000 + 600 + 2 = 20,602
Step-by-step explanation:
twenty thousand = 20,000
six hundred = 600
two = 2
Take those numbers and add them together. You get 20,602
The reciprocal of the sum of the number and 3?
Answer:
Could you please check if you've written the question properly
This question doesn't provide enough information
Please mark as brainliest for further answers :)k is decreased by 20
13 points pls help me quick
Answer:
Right Angles: C, F
Obtuse Angles: E, B
Acute Angles: A, D
Step-by-step explanation:
Right Angles are angles that are exactly 90 degrees.
Obtuse Angles are angles that are bigger than 90 degrees.
Acute Angles are angles that are smaller than 90 degrees.
Answer:
a . C and F .
b. B and E .
c. A and D .
Step-by-step explanation:
Hope this helps .
Solve for x
Plz help!
Ceasar opens a bank account and makes an initial deposit of $800. The banker tells Ceasar that he is going to receive an annual rate of 10% compounded continuously on his investment. Find the bank balance assuming Ceasar leaves the account untouched for 8 years.
Can you please do the problem using the formula A(t)=pe^(rt).
Answer:
1780.43
Step-by-step explanation:
Given:
P = 800
r = 10% or 0.1
t = 8
Work:
[tex]A=Pe^{rt}\\\\A=800e^{0.1*8}\\\\A=800e^{0.8}\\\\A=1780.43[/tex]
A cube has a surface area of 54cm2. What is the volume of the cube?
Answer:
27 cm³
Step-by-step explanation:
A = 6 a²
V = a³
V=6A3/2
36=6·543/2
36≈27cm³
Hope this helps! Pls mark brainliest