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3 years ago

What is the value of x? Enter your answer, as a decimal, in the box.

Mathematics

1 answer:

MissTica3 years ago

4 0

Triangles MNP & MAB are similar (NP//AB & Angle A= Angle N (correspondent) Same for P & B

We know that MA = 67.2 -3.2 = 35.2
Since Triangles MNP & MAB are similar , then we can write the following ratio:

MN/MA=MP/MB or 67.2/35.2 =81.9/x
& x= 43 m

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The daily sales at a convenience store produce a normal distribution with a mean of $1,250 and a standard deviation of $125. The

timama [110]

Answer:

0.6844 is the required probability.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = $1,250

Standard Deviation, σ = $125

We are given that the distribution of daily sales is a bell like shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

We have to find

P(sales less than $1,310)

$P( x < 1310) = P( z < \displaystyle\frac{1310 - 1250}{125}) = P(z < 0.48)$

Calculation the value from standard normal z table, we have,

$P(x < 1310) =0.6844= 68.44\%$

0.6844 is the probability that sales on a given day at this store are less than $1,310.

4 0

3 years ago

F(t) = t - 6<br> f(u + 6) =

vovikov84 [41]

Answer:

f(u +6) = u

Step-by-step explanation:

Put (u+6) in place of t and simplify:

f(u+6) = (u+6) -6

f(u+6) = u

4 0

3 years ago

Find the slope of the line through the points (−3, 6) and (2, 6).

Elden [556K]

Answer:

There wouldn't be a slope. It would be 0/5

Step-by-step explanation:

$\frac{6-6}{2+3}$

6 - 6 = 0

2 + 3 = 5

0/5 isn't a slope.

7 0

3 years ago

Read 2 more answers

A brand of clay brick tiles has the dimensions 3 5 8 by 7 5 8 by 1 2 inch. These thin bricks are commonly used for floors. Estim

raketka [301]

Answer: The cost to tile the floor is $318.24.

Step-by-step explanation:

Since we have given that

Dimensions of floor is 12 by 17 foot.

So, Area of floor would be

$12\times 17\\\\=204\ sq.\ foot$

As we know that 1 foot = 12 inch

So, Area of floor would be

$204\times (12)^2\\\\=204\times 144\\\\=29376\ sq.\ foot$

Dimension of brick tiles is given by

$3\dfrac{5}{8}\ by\ 7\dfrac{5}{8}\ by\ \dfrac{1}{2}$

So, Area of brick tiles is given by

$2(lb+bh+lh)\\\\=2(\dfrac{29}{8}\times \dfrac{61}{8}+\dfrac{61}{8}\times \dfrac{1}{2}+\dfrac{29}{8}\times \dfrac{1}{2})\\\\=2(\dfrac{1769}{64}+\dfrac{61}{16}+\dfrac{29}{16})\\\\=2\times \dfrac{1769+244+116}{64}\\\\=\dfrac{2129}{32}$

So, Number of clay brick would be

$29376\div \dfrac{2129}{32}\\\\=29376\times \dfrac{32}{2129}\\\\=\dfrac{29376\times 32}{2129}\\\\=441.53\\\\\approx 442$

cost of each clay brick = $0.72

So, Total cost of flooring would be

$442\times 0.72\\\\=\$318.24$

Hence, The cost to tile the floor is $318.24.

7 0

3 years ago

In the triangle below, find the measurements of the unknown angles.

LUCKY_DIMON [66]

Answer:

E. 35°, 70°

Step-by-step explanation:

Sum of angles add up to 180° in every triangle.

Step 1: Set up equation

a + 2a + 75 = 180

Step 2: Combine like terms

3a + 75 = 180

Step 3: Subtract 75 on both sides

3a = 105

Step 4: Divide both sides by 3

a = 35

So 1 angle is 35°

Step 5: Plug in <em>a</em> to find last angle

2(35) = 70°

7 0

3 years ago