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Marianna [84]
3 years ago
9

Solve the following problem. Round to one decimal place if necessary.

Mathematics
1 answer:
Luda [366]3 years ago
7 0

Answer:

Sinθ = Opposite/hypotenuse

\sin(21)  =  \frac{x}{22}  \\ 0.358 =  \frac{x}{22}  \\ x = 22 \times 0.358 \\ x = 7.88

I hope I helped you^_^

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Multiplying mixed numbers and whole numbers 1 1/2 x 2/1 =
Nezavi [6.7K]

Answer: 3

Step-by-step explanation:

1. Convert the mixed number to fraction:

- Multiply the denominator of the fraction by the whole number.

- Add the product obtained and the numerator of the fraction.

- Write the sum obtained as the numerator and rewrite the original denominator of the fraction.

Then:

1\ 1/2=\frac{(1)(2)+1}{2}=\frac{3}{2}

2. Multiply the numerators.

3. Multiply the denominator.

4. Reduce the fraction.

Then:

(\frac{3}{2})(\frac{2}{1})=\frac{6}{2}=3

5 0
3 years ago
A study showed that 69% of supermarket shoppers believe supermarket brands to be as good as national name brands. To investigate
Valentin [98]

Answer:

We conclude that supermarket ketchup was not as good as the national brand ketchup.

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 100

p = 69% = 0.69

Alpha, α = 0.05

Number of stating that the supermarket brand was as good as the national brand , x = 56

a) First, we design the null and the alternate hypothesis

H_{0}: p = 0.69\\H_A: p \neq 0.69

This is a two-tailed test.  

b) Formula:

\hat{p} = \dfrac{x}{n} = \dfrac{56}{100} = 0.56

z = \dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}

Putting the values, we get,

z = \displaystyle\frac{0.56-0.69}{\sqrt{\frac{0.69(1-0.69)}{100}}} = -2.810

Now, we calculate the p-value from the table.

P-value =  0.0049

c) Since the p-value is lower than the significance level, we fail to accept the null and reject it.

Thus, we conclude that supermarket ketchup was not as good as the national brand ketchup.

d) It need to be tested further whether the supermarket brand was worse than the national brand or better than the national brand.

6 0
3 years ago
If I’m saving up for shoes that are 113$ and I get 5$ a week...how many days do I have to wait until I have enough money.(I’m to
postnew [5]

Answer:

23 days

Step-by-step explanation:

113/5=22.6 round up 1 day

7 0
4 years ago
Can you write an equation by setting in expression equal to itself. Would an expression like this to be true? Explain.
Elodia [21]
Yes. As long as it truly equals eachother.
8 0
3 years ago
Plzzz help ill Mark u brainliest
soldier1979 [14.2K]

Answer:

480. First one

Step-by-step explanation:

7 0
3 years ago
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