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Harrizon [31]
3 years ago
11

Please help please please ASAP please help please

Mathematics
1 answer:
yan [13]3 years ago
3 0

Answer:

10,

Step-by-step explanation:

The bottom right angle is 45 degrees so the top left must also be 45 degrees (180 - 45 - 90 = 45). This means that x is the same as the left side: 10.

The triangle is right angled so we can use pythagoras on it: x^2 + 10^2 = y^2 = 200

y = √200 = √100√2=10√2

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leonid [27]
Since 4/9 in decimal form is 0.44444
and 1/2 in decimal form is 0.5

0.4444<0.5
1/2 is greater than 4/9

Hope this helped!
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3 years ago
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The graph of g(x) = (1/2)x is the graph of f(x) = 2x reflected over the y-axis. Which graph represents g(x)?
larisa [96]
Reflect across y axis means that you replace x with -x

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3 years ago
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The Frill family and the Smith family go to the movies.
Sati [7]

Step-by-step explanation:

Let a be the price of 1 adult ticket.

Let c be the price of 1 child ticket.

given,

6a + 2c = 124

as equation 1,

and

3a + 5c = 100

as equation 2.

Now we will solve for a and c using elimination method of simultaneous equations.

Now we multiply equation 2 by 2 to eliminate a and solve for c.

3a \times 2 + 5c \times 2 = 100 \times 2 \\ 6a + 10c = 200

This new equation will be equation 3.

Now we will use equation 1 - equation 3 to eliminate a and solve for c.

(6a - 6a) + (2c - 10c) = 124 - 200 \\ 0 + ( - 8c) =  - 76 \\  - 8c =  - 76 \\ c =  - 76 \div  - 8 \\  = 9.5

Now substitute c into equation 2.

3a + 5(9.5) = 100 \\ 3a + 47.5 = 100 \\ 3a = 100 - 47.5 \\ 3a = 52.5 \\ a = 52.5 \div 3 \\  = 17.5

Therefore one adult ticket will cost $17.50 and one child ticket will cost $9.50.

7 0
2 years ago
Pete began practicing at twenty-five minutes before eight. What is another way to write this time?
ratelena [41]

Answer: 8 hrs and 3/4 of an hour (three quarters)

Step-by-step explanation:

the same logic such as a quarter of an hour

7 0
3 years ago
A manager of a grocery store wants to determine if consumers are spending more than the national average. The national average i
strojnjashka [21]

The valid conclusions for the manager based on the considered test is given by: Option

<h3>When do we perform one sample z-test?</h3>

One sample z-test is performed if the sample size is large enough (n  > 30) and we want to know if the sample comes from the specific population.

For this case, we're specified that:

  • Population mean = \mu = $150
  • Population standard deviation = \sigma = $30.20
  • Sample mean = \overline{x} = $160
  • Sample size = n = 40 > 30
  • Level of significance = \alpha = 2.5% = 0.025
  • We want to determine if the average customer spends more in his store than the national average.

Forming hypotheses:

  • Null Hypothesis: Nullifies what we're trying to determine. Assumes that the average customer doesn't spend more in the store than the national average. Symbolically, we get: H_0: \mu_0 \leq \mu = 150
  • Alternate hypothesis: Assumes that customer spends more in his store than the national average. Symbolically H_1: \mu_0 > \mu = 150

where \mu_0 is the hypothesized population mean of the money his customer spends in his store.

The z-test statistic we get is:

z = \dfrac{\overline{x} - \mu_0}{\sigma/\sqrt{n}} = \dfrac{160 - 150}{30.20/\sqrt{40}} \approx 2.094

The test is single tailed, (right tailed).

The critical value of z at level of significance 0.025 is 1.96

Since we've got 2.904 > 1.96, so we reject the null hypothesis.

(as for right tailed test, we reject null hypothesis if the test statistic is > critical value).

Thus, we accept the alternate hypothesis that customer spends more in his store than the national average.

Learn more about one-sample z-test here:

brainly.com/question/21477856

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