Numerade

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3. A brokerage company draws a random sample of 500 employees at a large corporation and finds that 400 of them will be investing in index funds in 2024. Use a 0.05 significance level to test the claim that more than 70% of all employees at the large corporation will be investing in index funds in 2024 (do the computations by hand, as shown in the Canvas videos). A. Is this question about confidence intervals or hypothesis testing? Is the parameter the proportion (percentage), mean, or standard deviation? B. State the claim. Then, state the null hypothesis $H_0$ and the alternative hypothesis $H_A$. C. Draw the appropriate distribution and shade the critical region(s). Then, find the critical value(s) and label them on the graph. D. Compute the test statistic: $z = \frac{\hat{p} - p}{\sqrt{\frac{pq}{n}}}$ E. Decide whether to I. Reject the null hypothesis and support the alternative hypothesis II. Fail to reject the null hypothesis and fail to support the alternative hypothesis. F. What does this mean about the original claim?

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you push a 20okg file cabinet (its coefficient of static friction with the horizontal floor is ms=0.8) the cabinet doesn't move. what is the magnitude of the static friction force? (approximate g as 10m/s/s)

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6. What are the chemical formulas for the following compounds (10) a) potassium sulfide b) sodium phosphide c) lithium fluoride d) calcium chloride e) iron(II) oxide f) aluminum carbonate g) nitrous acid h) iron(III) dihydrogen phosphate i) potassium dichromate j) calcium acetate

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If cocci are arranged in pairs we use the prefix "____".

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Today, the success of Honda and Toyota in world markets is primarily due to: Group of answer choices exporting cars from factories in Japan. reporting cars are made in the USA. exporting cars from Japan to European countries. assembling cars in Japan and Europe. manufacturing cars in the Americas, Asia, and Europe.

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An arrangement such as the one above in which each team has a different number of wins (from 0 to 6) is called a perfect progression. Assuming that the "Won" score for each team is chosen at random in the range 0–6, find the probability that the results form a perfect progression.† (Leave your answer as a formula.)

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Q1 Old Henry MacDonald purchased a farm for $75 000. He paid $25 000 cash and financed the balance with a ten-year mortgage carrying an annual interest of 9 percent due once per year. He then purchased cattle with a cash payment of $3000, and issued a promissory note of $5000 carrying an annual interest rate of 8 percent for the balance. Revenues and expenses during the first year of operation of the farm were as follows: Sale of calves $8500 Income Sale of hay 1200 Salaries 1500 Rental of machinery 2000 Veterinarian fees 175 Fertiliser 200 50 000 (0.09) + 5000 (0.08) Expenses Property taxes 450 Repairs 375 Interest of debt 4900 Miscellaneous expenses 125 Depreciation 1500 Prepare an income statement for the year, providing for income taxes at a rate of 40 percent.

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Data analysis In this experiment we used measured amounts of two reagents: salicylic acid and acetic anhydride. By the reaction equation, they should react in 1:1 molar ratio, however, an excess of acetic anhydride was used to push the reaction to completion. The amount of acetylsalicylic acid that would form if the reaction went 100% to completion would be then calculated based on the amount of the salicylic acid used. Theoretical yield of aspirin = mass of salicylic acid (g) x \frac{1 mole aspirin}{MW salicylic acid (g/mol)} x \frac{MW aspirin (g)}{1 mole salicylic acid} x \frac{1 mole aspirin}{1 mole aspirin} The actual yield of aspirin obtained will be then calculated as Actual % yield = \frac{Actual mass aspirin recovered (g)}{Theoretical mass of aspirin (g)} x 100% Mass of salicylic acid (g) 2.00g (smells sour) Mass of aspirin (g) 2.61g Theoretical yield of aspirin (g) 2.00g Show your calculations: \frac{2.00g}{MW salicylic acid} x \frac{1 mole aspirin}{1 mole salicylic acid} x \frac{MW aspirin}{1 mole aspirin} Actual % yield of aspirin Show your calculations: \frac{2.61}{2.00} x 100 = 130.5/ Ferric chloride test Test tube a b c Purity of the product Color 30

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5. Fill the function to add a new node in the tree. (8points). Typedef int element; typedef struct TreeNode { element key; struct TreeNode *left, *right; } TreeNode; TreeNode * new_node(int item) { return temp; } TreeNode * insert_node(TreeNode * node, int key) { //Create new node with new_node function when tree is null if (node == NULL) return new_node(key); //Otherwise, insert nodes return node; }

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Exercise 2 (4 points) Find vectors which span the kernel of \begin{equation*} A = \begin{bmatrix} 1 & -1 & -1 & 1 & 1\\ -1 & 1 & 0 & -2 & 2\\ 1 & -1 & -2 & 0 & 3\\ 2 & -2 & -1 & 3 & 4 \end{bmatrix} \end{equation*} Exercise 3 (3 points) For the following matrices, find vectors which span the image. Give as few vectors as possible. $\begin{bmatrix} 1\\ 1\\ 1\\ 1 \end{bmatrix}$, $\begin{bmatrix} 1 & 1 & 1 & 1\\ 1 & 2 & 3 & 4 \end{bmatrix}$, $\begin{bmatrix} 1 & 2 & 3\\ 1 & 2 & 3\\ 1 & 2 & 3 \end{bmatrix}$.

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samuel t.