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Questions in mathematics

[Jawaban] The median of an ordered dataset with an even number of observations is the: (A) Mean of the two middle values (B) Mode of the dataset (C) Middle value of the dataset (D) Sum of the two middle values

[Jawaban] The 2012 general social survey asked a large number of people how much time they spent watching TV each day. The mean number of hours was 3.09 with a standard deviation of 2.97. Assume that in a sample of 38 teenagers, the sample standard deviation of daily TV time is 3.3 hours, and that the population of TV watching times is normally distributed. Can you conclude that the population standard deviation of TV watching times for teenagers differs from 2.97? Use the α = 0.10 level of significance. State the appropriate null and alternate hypothesis: H0: σ = 2.97 H1: σ ≠ 2.97 This hypothesis test is a chi-square test. Find the critical values. Round the answer to three decimal places. For α = 0.10, the critical values are 23.542 and 52.192. Compute the test statistic. Round the answer to three decimal places. χ² = 45.684 Determine whether to reject H0. At the α = 0.10 level, the null hypothesis H0 should not be rejected because the test statistic falls between the critical values.

[Jawaban] Fill in the blanks. a) 9 more than 8109 is b) 10 more than 2120 is c) 100 more than 31290 is

[Jawaban] According to the second-order condition for saddle points, what must be true about the eigenvalues of the Hessian matrix at a saddle point? A. At least one eigenvalue is positive and one is negative B. All eigenvalues are positive C. All eigenvalues are negative D. All eigenvalues are zero

[Jawaban] need help with this question ​

[Jawaban] A secant and a tangent meet at a 90° angle outside the circle. What must be the difference between the measures of the intercepted arcs? A. 45° B. 90° C. 180° D. 270°

[Jawaban] Each leg of a $45^{\circ}-45^{\circ}-90^{\circ}$ triangle measures 12 cm. What is the length of the hypotenuse? A. 6 cm B. $6 \sqrt{2} cm$ C. 12 cm D. $12 \sqrt{2} cm$

[Jawaban] If you put 25 ml of concentrate in a glass, how much water should be added? 1 part concentrate to 2 parts water

[Jawaban] The value of a computer depreciates with age, as shown in the table. Value of a Computer | Age of computer (years) | Value of computer ($) | | :---------------------- | :-------------------- | | 0 | 1,600.00 | | 1 | 1,280.00 | | 2 | 1,024.00 | | 3 | 819.20 | | 4 | 655.36 | Which function represents the value of a computer after [tex]$t$[/tex] years? A. [tex]$f(t)=1,600-226.16 t$[/tex] B. [tex]$f(t)=1,600-320 t$[/tex] C. [tex]$f(t)=1,600(0.2)^t$[/tex] D. [tex]$f(t)=1,600(0.8)^t$[/tex]

[Jawaban] $3.4^x+\frac{9^{x+2}}{3}=6.4^{x+1}-\frac{9^{x+1}}{2}$