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2 years ago

Work out the size of angle x.

Mathematics

1 answer:

klemol [59]2 years ago

3 0

Answer:

120°

Step-by-step explanation:

since 60° and x are alternate interior

you get this equation

60° + x = 180

subtract 60 from both sides

x = 120

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Suppose a normal distribution has a mean of 62 and a standard deviation of4. What is the probability that a data value is betwee

saw5 [17]

SOLUTION

From the given data the mean is 62 and standard deviation is 4

It is required to find the probability that a data value is between 57 and 62

That is:

$P(57\lt x\lt65)$

The z scores is calculated using:

$z=\frac{x-\mu}{\sigma}$

Using the x values it follows:

$z=\frac{57-62}{4}=-1.25$

Also,

$z=\frac{65-62}{4}=0.75$

Thus the required probability is:

$P(-1.25The proability is:[tex]P(-1.25This can be expressed as percentage as:[tex]P(-1.25\lt z\lt0.75)=66.8\%$

Therefore the correct option is C

8 0

1 year ago

<img src="https://tex.z-dn.net/?f=5x%3D%5Csqrt%7B10%2B15x%7D" id="TexFormula1" title="5x=\sqrt{10+15x}" alt="5x=\sqrt{10+15x}" a

sashaice [31]

Don’t now the answer sorry

3 0

3 years ago

Factor the expression 2n(2) +23n +30

Len [333]

I can help but what is the (2)???

4 0

3 years ago

Solve the equation 3b1b-8=4

joja [24]

Answer:

b = 2

Step-by-step explanation:

3b1b-8 = 4

+8 +8

3b1b = 12

3b^2 = 12

/3 /3

b^2 = 4

$\sqrt{b^2}$ $\sqrt{4}$

b = 2

6 0

3 years ago

The expression 148 – 24d gives the number of pizzas a store has in stock, where d is the number of days. How many pizzas will th

Feliz [49]

Explanation

A function is defined as a relation between a set of inputs having one output each,in this case our independent variable is the number of days( d) and the dependent variable would be the number of pizzas

Step 1

let the function

$\begin{gathered} P=148-24d \\ where\text{ P is the number of pizzas } \\ and\text{ d is the number of days} \end{gathered}$

therefore, to know the number of pizzas are in the stock after 5 days we need to evaluate the equation for d=3

$\begin{gathered} P=148-24d \\ let\text{ d=5 and evaluate} \\ P=148-24(5) \\ P=148-120=28 \\ P=28 \end{gathered}$

so, after five day there willbe 28 pizzas in stock

I hope this helpsyou

6 0

1 year ago