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2 years ago

Solve the equation: 7/10 + 1/5

Mathematics

2 answers:

Lynna [10]2 years ago

8 0

Answer:

9/10

Step-by-step explanation:

To solve this, we simply need to find the common denominator, which in this case, is 10

5 x 2 = 20

1/5 = 2/10

7/10 + 2/10 = 9/10

Thus, our answer is 9/10

Hitman42 [59]2 years ago

5 0

Answer:

$\frac{9}{10}$

Step-by-step explanation:

$\frac{7}{10}$ + $\frac{1}{5}$

First, convert the equation so that the two fractions have the same denominator (number on the bottom half of the equation). Five can go into ten, so convert the fraction $\frac{1}{5}$ . Use a conversion factor of $\frac{2}{1}$ .

$\frac{1}{5}$ × $\frac{2}{1}$ = $\frac{2}{10}$

Now, you can add the two fractions.

$\frac{7}{10}$ + $\frac{2}{10}$ = $\frac{9}{10}$

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WILL GIVE BRANLIEST!!! Pls help! Determine the coordinates of the point on the straight line y=3x+1 that is equidistant from the

iren [92.7K]

Let , coordinate of points are P( h,k ).

Also , k = 3h + 1

Distance of P from origin :

$d=\sqrt{h^2+k^2}$

Distance of P from ( -3, 4 ) :

$d=\sqrt{(h+3)^2+(k-4)^2}$

Now , these distance are equal :

$h^2+(3h+1)^2=(h+3)^2+(3h+1-4)^2\\\\h^2+(3h+1)^2=(h+3)^2+(3h-3)^2$

Solving above equation , we get :

$P=(\dfrac{16}{21},\dfrac{23}{7})$

Hence , this is the required solution.

6 0

2 years ago

The systolic blood pressure (BP) of adults in the USA is nearly normally distributed with a mean of 121 and standard deviation o

Wittaler [7]

Answer:

Around 0.73% of adults in the USA have stage 2 high blood pressure

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value 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. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 121 and standard deviation of 16.

This means that $\mu = 121, \sigma = 16$

Around what percentage of adults in the USA have stage 2 high blood pressure

The proportion is 1 subtracted by the p-value of Z when X = 160. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{160 - 121}{16}$

$Z = 2.44$

$Z = 2.44$ has a p-value of 0.9927.

1 - 0.9927 = 0.0073

0.0073*100% = 0.73%

Around 0.73% of adults in the USA have stage 2 high blood pressure

5 0

2 years ago

Does 3,4, and 5 make a right triangle or not a right triangle?

S_A_V [24]

Answer:

I believe it does

Step-by-step explanation:

sorry if i am wrong

6 0

2 years ago

Read 2 more answers

The perimeter of a triangle is not greater than 12 and the lengths of sides are natural numbers.

weqwewe [10]

Answer:

3 triangles

Step-by-step explanation:

Perimeter of triangle = a + b + c

Given that :

P = 12

and a, b, c are natural numbers

Let :

Side A = a

Side B = b

Side C = 12 - (a + b)

Side A + side B > side C - - - (condition 1)

a + b > 12 - (a + b)

a + b > 12 - a - b

a + a + b + b > 12

2a + 2b > 12

2(a + b) > 12

a + b > 6

Side A - side B < side C

a - b < 12 - (a + b)

a - b + a + b < 12

2a < 12

a < 6

b < 6 (arbitrary point)

Going by the Constraint above :

The only three possibilities are :

(2, 5, 5)

(3, 4, 5)

(4, 4, 4)

Total number of triangle = 3

Equilateral triangle (all 3 sides equal) = (4, 4, 4) = 1

Isosceles triangle (only 2 sides equal) = (2, 5, 5) = 1

3 0

2 years ago

A warehouse distributor of carpet faces a normally distributed demand for its carpet. The average demand for carpet from the sto

Snezhnost [94]

Answer with Step-by-step explanation:

Since the demand is normally distributed the required probability can be found from the area under the normal distribution curve as

Part a)

Given mean = 4500 yards per month

Standard deviation = 900 yards

Thus area under the curve corresponding to 6000 yards is found from the standard variate factor Z as

$Z=\frac{X-\bar{X}}{\sigma }\\\\Z=\frac{6000-4500}{900}=1.67$

Area for Z = 1.67 = 95.22%

Thus the probability that the demand will be met is 0.9522 hence the probability that the demand will not be met is $P(E)=1-0.9522=0.0478$

Part b)

The reuired answer is area between 5000 and 7000 yards in the normal distribution curve thus we have

$Z_1=\frac{5000-4500}{900}=0.56$ .

$Z_2=\frac{7000-4500}{900}=2.78$

The area between these 2 values is 49.73% hence the reuired probability is 0.4973.

Part c)

For 97% satisfaction of demand the Z factor corresponding to 97% of area is found to be 1.88

thus we can write

$1.88=\frac{X-4500}{900}\\\\X=4500+1.88\times 1.88=6193$

4 0

2 years ago