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kaheart [24]
3 years ago
13

Please help me with this as soon as possible

Mathematics
1 answer:
Viktor [21]3 years ago
6 0

Answer:

x ≈ 6.1

Step-by-step explanation:

Using the sine ratio in the right triangle

sin50° = \frac{opposite}{hypotenuse} = \frac{x}{8} ( multiply both sides by 8 )

8 × sin50° = x , then

x ≈ 6.1 ( to 1 dec. place )

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X2 -5x+6<br> To solve a quadratic equation, start by factoring,
Y_Kistochka [10]

Answer:

x=2 OR x=3

Step-by-step explanation:

Given equation:

x^2 -5x+6=0

Solving the equation for 'x':

Using factorization method:

x^2-2x-3x+6=0

Making the factors by taking common:

x(x-2)-3(x-2)=0\\(x-2)(x-3)=0

x-2=0\\\\x=2

OR

x-3=0\\\\x=3

3 0
3 years ago
The Boardman family walked 2/5 of a mile in 2/7 of an hour. What is their unit rate in miles per hour?
CaHeK987 [17]
Distance =2/5 mile
Time = 2/7 hour
Rte = Distance/time =  (2/5) / (2/7) = (2/5) X (7/2) = 7/5 miles/hour
6 0
4 years ago
A school is organizing a cookout where
mariarad [96]

Answer:

108

Step-by-step explanation

6 0
4 years ago
A data set about speed dating includes​ "like" ratings of male dates made by the female dates. The summary statistics are nequal
UNO [17]
<h2>Answer with explanation:</h2>

Given : Sample size n= 189

Sample mean : \overline{x}=7.58

Sample standard deviation : s=1.93

Let \mu be the population mean of "like" ratings of male dates made by the female dates.

As per question ,

Null hypothesis : \mu\geq8.00

Alternative hypothesis : \mu , It means the test is a one-tailed t-test. ( we use t-test when population standard deviation is unknown.)

Test statistic:

t_{stat}=\dfrac{\overline{x}-\mu}{\dfrac{s}{\sqrt{n}}}\\\\=\dfrac{7.58-8.00}{\dfrac{1.93}{\sqrt{189}}}=-2.99

For 0.05 significance and df =188 (df=n-1) p-value = .001582. [By t-table]

Since  .001582< 0.05

Decision: p-value < significance level , that means there is statistical significance, so we reject the null hypothesis.

Conclusion : We support the claim at 5% significance that t the population mean of such ratings is less than 8.00.

4 0
4 years ago
A store manager predicts that 150 blankets will be sold if each blanket
Sever21 [200]

Answer:

$47

Step-by-step explanation:

Given: Store manager have predicted that 150 blanket can be sold at $32 each.

Also he has predicted sales of 2 blanket will decrease with $1 increase in price.

Now, finding price at which 120 blanket can be sold.

As we know cost of 150 blanket is $32 and we are finding for 120 blanket, which mean we have to increase price to decrease sales.

∴ 150-120 = 30\ blankets

Using unitary method to find correct price.

For 2 decrease in sales = $1 increase in price                

∴ 30 decrease in sales of blanket = $15 increase in price

Next, price of 120 blanket = Price of 150\ blanket + increase\ in\ price

Price\ of\ 120\ blanket = 32+15 = \$ 47

∴ $47 should be the price for at least 120 blanket to be sold.

7 0
4 years ago
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