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saw5 [17]
3 years ago
6

Given the following diagram, find the missing measure.

Mathematics
2 answers:
maks197457 [2]3 years ago
8 0

Answer:

The correct solution is M = 110

deff fn [24]3 years ago
4 0

Answer:

m3 = 110°

Step-by-step explanation:

m1 = 180° - m4 ( sum of angles in a straight angle )

m1 = 180° - 150° = 30°

m3 = 180° - (m2 + m1) ← sum of angles in a triangle

m3 = 180° - (40 + 30 )° = 180° - 70° = 110°


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aul bought 9 total shirts for a total of $72. Tee shirts cost $10 and long sleeve shirts cost $7. How many of each type of shirt
vodomira [7]

Set up a system of equations:


\text{Total shirts bought}

x + y = 9


\text{Total cost}

10x + 7y = 72


x represents how many tee shirts were bought, and y represents how many long sleeve shirts were bought.


For the first equation, subtract y from both sides to get x by itself:


x = 9 - y


We'll now use substitution. Since x is equal to a value, we can substitute this value for the other equation:


10(9-y) + 7y = 72


Distribute the 10 to both terms in parentheses:


10 \times 9 = 90

10 \times -y = -10y


90 - 10y +7y = 72


Combine like terms:


-10y + 7y = -3y

90 - 3y = 72


Subtract 90 from both sides:


-3y = -18


Divide both sides by -3 to get y by itself:


y = 6


6 long sleeve shirts were bought.


Now you have a value for y. Input this value into the first equation:


x + 6 = 9


Subtract both sides by 6 to get x by itself:


x = 3


3 tee shirts were bought.


The answer is B. 3 tee shirts and 6 long sleeve shirts.

4 0
3 years ago
Read 2 more answers
Suppose that the population mean for income is $50,000, while the population standard deviation is 25,000. If we select a random
Fudgin [204]

Answer:

Probability that the sample will have a mean that is greater than $52,000 is 0.0057.

Step-by-step explanation:

We are given that the population mean for income is $50,000, while the population standard deviation is 25,000.

We select a random sample of 1,000 people.

<em>Let </em>\bar X<em> = sample mean</em>

The z-score probability distribution for sample mean is given by;

               Z = \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

where, \mu = population mean = $50,000

            \sigma = population standard deviation = $25,000

            n = sample of people = 1,000

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

So, probability that the sample will have a mean that is greater than $52,000 is given by = P(\bar X > $52,000)

  P(\bar X > $52,000) = P( \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } } > \frac{52,000-50,000}{\frac{25,000}{\sqrt{1,000} } } ) = P(Z > 2.53) = 1 - P(Z \leq 2.53)

                                                                    = 1 - 0.9943 = 0.0057

<em>Now, in the z table the P(Z </em>\leq<em> x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 2.53 in the z table which has an area of 0.9943.</em>

Therefore, probability that the sample will have a mean that is greater than $52,000 is 0.0057.

5 0
3 years ago
A local ski resort is open for 13 weeks in the winter. Write a fraction in simplest form that represents the fraction of the yea
Rudiy27
The ski resort is open 13/52 weeks out of the year
4 0
3 years ago
What is the arc measure of BAD on circle P in degrees?
lianna [129]

Answer:

244

Step-by-step explanation:

74+42=116

360-116=244.

5 0
3 years ago
Log_{7 }(5 - 3x)<br>Find the derivative​
V125BC [204]

Let <em>y</em> be the expression you want to differentiate:

y=\log_7(5-3x) \implies 7^y=5-3x

Now,

7^y=e^{\ln(7^y)}=e^{y\ln(7)}

Use the chain rule to differentiate both sides with respect to <em>x</em> :

\ln(7)e^{y\ln(7)}\dfrac{\mathrm dy}{\mathrm dx}=-3

Solve for d<em>y</em>/d<em>x</em> :

\ln(7)7^y\dfrac{\mathrm dy}{\mathrm dx}=-3

\dfrac{\mathrm dy}{\mathrm dx}=-\dfrac3{\ln(7)7^y}

\dfrac{\mathrm dy}{\mathrm dx}=\boxed{-\dfrac3{\ln(7)(5-3x)}}

6 0
3 years ago
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