Basic Math Questions and Answers

You performed a simulation to examine mutation proportions. You put fifty candies in each of two bags. You hit both bags with a book to simulate a genetic mutation occurring. The first bag had five broken candles and the second bag had ten broken candies. Which statement is correct? Your sample size was too small to use the z-test to compare proportions. The proportions of candies in the bags were not statistically significantly different at the 90% confidence level. The proportions of candies in the bags were statistically significantly different at the 90% confidence level. The proportions of candies in the bag could not be determined.

Multiplying by a number flips the graph of a function over the x-axis.

Determine whether the function represents exponential growth or decay. Write the base in terms of the rate of growth or decay, identify r, and interpret the rate of growth or decay. y=460.4^x

You are given the choice between a yearly payment of $3,405 that increases by $151 every year or a yearly payment of $3,405 that increases by 2.8% compounded annually. How much money would you make after 13 years if you chose the exponential payment? Do not include the dollar sign in your answer. Round to the nearest cent.

You have two job offers that you are considering. Offer 1: You earn a yearly salary of $47,130 that increases by $3,791 every year. Offer 2: You earn a yearly salary of $47,130 that increases by 2.4% compounded annually. How much money would you make after 21 years if you chose the linear payment? Do not include the dollar sign in your answer. Round to the nearest cent.

The diameter of a circle is 14 m. Find its area to the nearest tenth.

A test of significance with a = 0.05 results in a p-value of 0.1. What do you conclude? A. The null hypothesis is rejected. B. The null hypothesis is not rejected. C. The alternative hypothesis is not rejected. D. The null hypothesis is accepted.

A farmer is going to divide her 60 acre farm between two crops. Seed for crop A costs $40 per acre. Seed for crop B costs $20 per acre. The farmer can spend at most $1600 on seed. If crop B brings in a profit of $90 per acre, and crop A brings in a profit of $60 per acre, how many acres of each crop should the farmer plant to maximize her profit?

For the line 3x - 4y -12 = 0, which statement is true? The x-intercept is 3, and the y-intercept is 4. The x-intercept is 3, and the y-intercept is -4. The x-intercept is 4, and the y-intercept is 3. The x-intercept is 4, and the y-intercept is-3.

The radius of a circle is 5 cm. Find its area to the nearest tenth.

9.) The equation y= 19x + 350 represents the relationship between the total 1 point cost, in dollars, y, to rent a banquet hall for a party, and the number of people attending, x. Select all true statements. * The y-intercept is 19. The y-intercept is 350 The slope is 350. The slope is 19. The y-intercept represents the cost per person attending. The y-intercept represents the initial cost. The slope represents the cost per person attending. The slope represents the initial cost. Y represents the total cost to rent the banquet hall.

Match the following shapes with their correct description. 1. rectangle 2. triangle 3. circle 4. trapezoid a. a slice of a rectangular pyramid perpendicular to the base but not through the apex b. the cross section of a cone parallel to the base c. the cross section of a rectangular prism perpendicular to the base d. the cross section of a triangular pyramid parallel to the base

Jacy is 12 years old and weighs 82 lb. Assume that his weight increases at a rate of 16% each year. Write an exponential function to model the increase. What will he weigh after 5 years?

21. Which of the following is the only triangle whose sides form a right triangle? A. a=2 units b=4 units c=12 units B. a=3 units b=4 units c=7 units C. a=5 units b=5 units c=√10 units D. a=2 units b=1 units c= √5 units

Tatianna is choosing what foods to eat for breakfast. Let A denote the event "at least one red food is chosen" and B denote the event "at least one piece of fruit is chosen". Which of the following represents the event "at least one food that is chose is red or at least one food that is chosen is a fruit"? a) A' ∪ B' b) A ∪ B c) A ∩ B d) A' ∩ B'

Bryan Berg built an 83-storey house of cards. He used 27000 playing cards to accomplish this feat. At this same rate, about how many cards would it take to build a 100-storey house of cards? Round your answer to the nearest integer. 30 750 44 900 2400 32 530

Which of the following best describes transformation by dilation? A dilation only enlarges the size of a figure. A dilation takes place in either a horizontal or a vertical direction. Dilations preserve size, but not shape. The pre-image and image of a dilation will remain the same shape, even if they are not the same size.

A mobile phone company determined with 95% confidence that the a teenager with a mobile phone send an average of 180 text messages 20 messages each day. Which of the following statement is most likely to be true based on the study? There is a 95% probability that every student with a mobile phone sends at least 160 messages a day. There is a 95% probability that every student with a mobile phone sends at most 200 messages a day. There is a 95% probability that the true average of text messages sent by a teenager is somewhere between 160 and 200 text messages a day. There is a 95% probability that the true average of text messages sent by a teenager is 180 text messages a day.

The U.S. Post Office is interested in estimating the mean weight of packages shipped using the overnight service. They plan to sample 300 packages. A pilot sample taken last year showed that the standard deviation in weight was about 0.15 pounds. If they are interested in an estimate that has 95 percent confidence, what margin of error can they expect? a. Approximately 0.017 pounds b. About 0.0003 pounds c. About 1.96

You have two job offers that you are considering. Offer 1: You earn a yearly salary of $54,941 that increases by $4,096 every year. Offer 2: You earn a yearly salary of $54,941 that increases by 2.1% compounded annually. How much money would you make after 21 years if you chose the linear payment? Do not include the dollar sign in your answer. Round to the nearest cent.

Aarav has 3,250 followers on social media. His number of followers is increasing at a rate of 3% per week. Which function represents his number of followers each week? A. f(w) = 3250 (1.03)" B. f(w) = 3250 (0.03)" C. f(w) = 3,250 (3) D. f(w)=3250 (0.097)

Is the following function a linear function or an exponential function? y = -2x + 9

The radius of a circle is 3 in. Find its area to the nearest tenth.

A normal distribution has a mean of 150 and a standard deviation of 10. What is μ-3σ? 160 170 130 120

What is the probability of not getting double points? Give your answer in decimal form. Round to the thousandths place.

Match the type of transformation with its description. 1. stretch 2. reflection 3. rotation 4. translation a. Points are flipped over a line. b. Points are turned around a central point. c.The size of the pre-image changes in one direction. d. Points are slid the same amount in the same direction.

The radius of a circle is 3 ft. Find its area to the nearest tenth.

Humberto has a bag of 24 marbles. 7 marbles are red, 5 marbles are blue, and the rest are pink. Humberto takes out two marbles without replacing them. What is the probability that they are both blue?

Aiden travels 2.4 km in his boat to visit his cousin, Davie, who lives across the river at Pike Road. Aiden's house is 1.5 km from Pike Road. What is the width of the river, to the nearest tenth of a kilometre?

Emilio Ramirez has a 35%-off coupon and is purchasing a 3-light chandelier that has a regular price of $115.00. a. What is the markdown? b. What is the sale price? e. What is the sale price using the percent paid method?

The cost, in dollars, of printing n digital photos is f(n) = 1.50+ 0.20n. Which of the following statements is CORRECT? A. For each additional photo printed, the cost increases by $1.70. B. For each additional photo printed, the cost increases by $1.30. C. For each additional photo printed, the cost increases by $1.50. D. For each additional photo printed, the cost increases by $0.20.

A baseball player hits a ball with an initial velocity of 130 feet/sec at an angle of 28 degrees to the horizontal at a height of 3.5 feet. What is the maximum height that the ball reaches? Round to the nearest foot.

Joey has a square piece of paper with edges that are 8 inches long. He cuts the paper along a diagonal to make two congruent triangles. Which measurement is closest to the length, in inches, of the hypotenuse of each triangle? 8 11.3 16 13.9

Andre sells electronic items such as digital music players and cell phones. He is paid $15/h plus 5% commission on sales. Which expression represents Andre's total earnings? (Let t represent time in hours, and s represent sales) Total earnings = 0.05t +15s Total earnings = 15t+ 0.05s Total earnings = 15 + 0.5s Total earnings = 15t +5s

The researcher claims that Interactive lessons are better than non-Interactive ones. He conducted the research with two Independent samples. One sample consisted of children, and another sample consisted of adults. The p-value for children was 0.04 and the p-value for the adult sample was 0.06. At a significance level 0.05, what could you conclude about the claim of the researcher? Interactive sessions are more effective as compared to non-interactive sessions for both children and adults. Interactive sessions appear to be more effective as compared to non-interactive sessions for children, but not for adults. Interactive sessions are more effective as compared to non-interactive sessions for adults, but not for children. Interactive sessions are not more effective than the non-interactive sessions for both adults and children.

The diameter of a circle is 3 cm. Find its area to the nearest tenth.

How does the annual percentage yield (APY) help a person decide whether to put his money in Bank A or Bank B if both are offering 24- month CDs at 4.25% interest? The APY will tell the person which bank has earned the highest profits in the past year. The APY is able to determine whether the earnings on the CD will keep ahead of the rate of inflation. If Bank A has a higher credit rating than Bank B, Bank A will have a higher APY. The APY will show the actual interest rate earned as opposed to the stated rate after the frequency of compounding is taken into effect.

A person earning $50,000 a year contributes 10% of her income to her retirement plan. As a result, her employer matches up to 5% of her salary as a contribution. What will be the total contribution to her retirement plan account for one year? $5,000 $5,250 $7,500 $10,500

43. What is the center of the hyperbola with the following equation? Is it horizontal or vertical? (y - 9)²/49 - (x + 5)²/64 = 1 The center is (-5,9), and the hyperbola is horizontal. The center is (-5,9), and the hyperbola is vertical. The center is (9,-5), and the hyperbola is horizontal. The center is (9,-5), and the hyperbola is vertical.

Find the diameter of the circle with the given circumference. Use 3.14 for π. C = 23 cm.

Anne currently brings in an annual salary of $46,000 and anticipates a raise of 5% every year. What will her salary be in 6 years? Do not include the dollar sign in your answer.

The formula for the volume of a cone is most closely related to which of the following three-dimensional figures? rectangular prism cube sphere cylinder

Suppose a research firm conducted a survey to determine the average amount of money steady smokers spend on cigarettes during a week. A sample of 100 steady smokers revealed that the sample mean is $20 and the sample standard deviation is $5. What is the probability that a sample of 100 steady smokers spend between $19 and $21? A) 0.4772 B) 0.0228 C) 0.9544 D) $20

• Every trapezoid is a quadrilateral. • Polygon W is not a quadrilateral. Which conclusion can be made using both statements? Polygon W is a pentagon. Polygon W is not a parallelogram. Polygon W is not a trapezoid. Polygon W is a triangle.

Which of the following are steps used to find the perpendicular bisector of the diameter of the circle? Select all that apply. Place the compass point on one end of the diameter and draw an arc reaching above and below the diameter. Set the compass opening to greater than half the diameter of the circle. Set the compass opening to the radius of the circle. Using a compass, draw an arc outside the circle from one point on the circle.

Two pieces of cloth are shaped like similar triangles. The lengths of the sides of the first piece of cloth are 5 inches, 9 inches, and 12 inches. The length of the shortest side of the second piece of cloth is 15 inches. What is the length of the longest side of the second piece of cloth? 36 in. 22 in. 27 in. 19 in.

You are given the choice between a yearly payment of $3,981 that increases by $223 every year or a yearly payment of $3,981 that increases by 1.1% compounded annually. How much money would you make after 10 years if you chose the linear payment? Do not include the dollar sign in your answer. Round to the nearest cent.

You are given the choice between a yearly payment of $3,652 that increases by $128 every year or a yearly payment of $3,652 that increases by 1.9% compounded annually. How much money would you make after 6 years if you chose the linear payment? Do not include the dollar sign in your answer. Round to the nearest cent.

The diameter of a circle is 11 ft. Find its area to the nearest tenth.

A golfer hits the ball with an initial velocity of 140 ft/sec so that its path makes an angle of 31° with the horizontal. (b) How far is the ball from its starting point when it hits the ground? Give your answer to 2 decimal places.