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lianna [129]
3 years ago
14

What is the length of CD? In this diagram, ABC ~ EDC.

Mathematics
1 answer:
Alex777 [14]3 years ago
5 0

Hey there!

Answer:

CD = 3.

Step-by-step explanation:

Since the triangles are similar, we can set up a ratio to determine the other side-lengths:

\frac{12-x}{18} =\frac{x}{6}

Cross multiply:

6(12-x) = 18x

Distribute the '6':

72-6x = 18x

Combine like terms and simplify:

72 = 24x

x = 3

Therefore, the length of CD is 3.

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A basketball player made 40% of the shots she attempted. If she made 32 baskets, how many shots did she attemp A.32 B.40 C.64 D.
dybincka [34]
D 80
32/40 *100
Precent proportions
32/x = 40/100
Cross multiply
6 0
3 years ago
Charli bought 2 3/4 pounds of pears for 0.76 per pound and 2 3/4 pounds of grapes for 1.40 per pound. how much money in dollars
MArishka [77]

Answer:

Total = \$5.94 ---- in dollars

Total = 594\ cents ---- in cents

5 dollars 94 cents

Step-by-step explanation:

Given

Pears

Weight = 2\frac{3}{4}\ lb

Amount = \$0.76 per pound

Grapes

Weight = 2\frac{3}{4}\ lb

Amount = \$1.40 per pound

Required

Determine the amount paid for the fruit in dollar and cents

First, we need to calculate the amount paid for each fruit.

This is calculated by multiplying the amount per pound by the number of pounds bought.

For Pears:

Total_{Pears} = 2\frac{3}{4} * \$0.76

Convert fraction to decimal

Total_{Pears} = 2.75 * \$0.76

Total_{Pears} = \$2.09

For Grapes

Total_{Grapes} = 2\frac{3}{4} * \$1.40

Convert fraction to decimal

Total_{Grapes} = 2.75 * \$1.40

Total_{Grapes} = \$3.85

Next, we add both amounts together to get the total amount spent in dollars.

Total = Total_{Pears} + Total_{Grapes}

Total = \$2.09 + \$3.85

Total = \$5.94

Multiply by 100 to convert this amount to cents

Total = 5.94 * 100\ cents

Total = 594\ cents

And it can be represented as dollars and cents as:

5 dollars 94 cents

8 0
2 years ago
Determine the critical value or values for a one-mean z-test at the 1% significance level if the hypothesis test is right-tailed
kifflom [539]

Answer:

We need to conduct a hypothesis in order to determine if the mean is greater than specified value, the system of hypothesis would be:      

Null hypothesis:\mu \leq \mu_o      

Alternative hypothesis:\mu > \mu_o      

For this case the significance is 1%. So we need to find a critical value in the normal standard distribution who accumulates 0.99 of the area in the left and 0.01 in the right and for this case this critical value is:

z_{crit}= 2.326

Step-by-step explanation:

Notation

\bar X represent the sample mean

\sigma represent the standard deviation for the population      

n= sample size      

\mu_o represent the value that we want to test    

\alpha represent the significance level for the hypothesis test.    

z would represent the statistic (variable of interest)      

State the null and alternative hypotheses.      

We need to conduct a hypothesis in order to determine if the mean is greater than specified value, the system of hypothesis would be:      

Null hypothesis:\mu \leq \mu_o      

Alternative hypothesis:\mu > \mu_o      

For this case the significance is 1%. So we need to find a critical value in the normal standard distribution who accumulates 0.99 of the area in the left and 0.01 in the right and for this case this critical value is:

z_{crit}= 2.326

3 0
2 years ago
I need help With this please
Ber [7]

the answer is b. 30 hope this helps

6 0
3 years ago
1.64 points as a mix number in simplest form
zhuklara [117]
The correct answer is 41/25
8 0
3 years ago
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