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MATH SOLVE
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Let A = { x ∈ R : x 2 − 5 x + 4 ≤ 0 } , B = (3 , 5), and C = (3 , 4]. Show that A ∩ B = C . (Recall, you must show two separate statements: A ∩ B ⊆ C and C ⊆ A ∩ B . Hint, you may benefit from factoring the polynomials that appear in the sets.)
General
4 months ago
19. Tracey stopped at the convenience store on her way to school. With tax, bottles of sodacost $1.50 and bags of chips cost $2.50. If she has $12, what is the greatest number ofbags of chips she can buy and still have enough money left to buy two bottles of soda?20. For a school field trip, 8 students rode in cars while the rest of the students rode on 7buses. How many students were on each bus if 372 students attended the field trip?21. Imani spent half of her weekly allowance playing mini-golf. To earn more money, herparents gave her $4 to wash their car. What is her weekly allowance if she ended with$12?22. Samajah won 40 high-bounce balls playing Skeeball at her school's spring carnival. Later,she gave 3 to each of her friends, which left only 7 for her. With how many friends did sheshare?
General
4 months ago
Find the number of seconds in a year, and the fractional error in assuming that 1yr=π×107 sec
General
4 months ago
Identify each of the sequences in exercises 22 and 23 as arithmetic or geometric. State a rule for obtaining each number from the preceding number. What is the 12th num- ber in each sequence? 15, 30, 60, 120
General
4 months ago
Problem 3. Round the following.Original NumberManually rounded off to the nearest whole numberManually rounded off to the nearest tenthsManually rounded off to the nearest hundredthsRounded off by the computer to the nearest whole number9.278300.5354458.00557,888.51945
General
4 months ago
Solve the congruence x^329 = 452 (mod 1147). [Hint. 1147 is not prime.]
General
4 months ago
SUPPOSE A = {a,b,c,d,e,f},and R = {(a,f),(b,e),(c,d),(d,a),(e,b),(f,e)} state with reasons whether the relation is a function from A to A,(II) an everywhere defined function (iii) an onto function (iv) a one to one function
General
4 months ago
What is distance between line 12x+35y+5=0 and point (2,0).
General
4 months ago
Ms. Jenkins has two daughters. The sum of their ages is twenty-four. The product of their ages is one hundred forty. How old is Ms Jenkins' oldest daughter
General
4 months ago
If a = 2^3 x 3^7 x 5^3 x 11^4 and b = 2^2 x 3^9 x 7^2 x 11 x 13, find the following: A. GCF (a, b) B. LCM (a, b)
General
4 months ago
Marsha is buying a new cell phone. She has a 45% off coupon from the store. She pays $275 for the cell phone. What is the price of the cell phone without the coupon.
General
4 months ago
find the slope of any line perpendicular to the line through (5,3) and (2,5)
General
4 months ago
A store owner was buying uniforms for his employees. If each of his stores needed 79 uniforms and he had 64 stores which expression shows about how many uniforms he’d need? A.80x70 B. 70x70 C. 80x60 D.70x60
General
4 months ago
Suppose you are making granola bars with 3 cups of oats. How much quinoa, flaxseed, and soy protein would you use would you need? Explain
General
4 months ago
the radius of a sphere is 5.2 CM calculate the Spheres volume use the value 3.14 for pi and round your answer to the nearest tenth
General
4 months ago
Joy kayaked up the river and then back in a total time of 6 hours. The trip was 4 miles each way. The current was difficult. If joy kayaked at a speed of 5 mph in still water, what is the speed of the current?
General
4 months ago
Two regular six-sided dice are tossed. Compute the probability that the sum of the pips on the upward faces of the two dice is the following. (See the figure below for the sample space of this experiment. Enter the probability as a fraction.) At most 5
General
4 months ago
A procurement specialist has purchased 25 resistors from vendor 1 and 30 resistors from vendor 2. Let X1,1,X1,2,...,X1,25 represent the vendor 1 observed resistances, which are assumed to be normally and independently distributed with mean 100 ohms and standard deviation 1.5 ohms. Similarly, let X2,1,X2,2,...,X2,30 represent the vendor 2 observed resistances, which are assumed to be normally and independently distributed with mean 105 ohms and standard deviation of 2.0 ohms. What is the sampling distribution of X¯¯¯¯1−X¯¯¯¯2 ? What is the standard error of X¯¯¯¯1−X¯¯¯¯2
General
4 months ago
A researcher wishes to estimate the proportion of adults who have high-speed internet access. What size sample should be obtained if she wishes the estimate to be within 0.01 with 90% confidence if :(a) she uses a previous estimate of 0.42? (b) she does not use any prior estimates?
General
4 months ago
After the outbreak of a mysterious disease, the average wait time at a hospital increased by 70\%70%70, percent. Before the outbreak, the average wait time at the hospital was mmm minutes.
General
4 months ago
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