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2 years ago

2/7 divided by 3/4 Pls help

Mathematics

1 answer:

Alex_Xolod [135]2 years ago

5 0

Answer:

8/21

Step-by-step explanation:

2/7 divided by 3/4

Keep

2/7

Change

divided to multiply

Flip

3/4 to 4/3

Multiply

2/7 x 4/3

Multiply the numerators and deniminators to get 8/21

Cannot be simplified so it is the final answer.

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3 years ago

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A bakery sells 2 croissants for $3 they sold 31 croissants on Monday, how much money did they make

Alisiya [41]

Since 2 croissants = $3 we can work out that 1 croissant = $1.50

Multiply $1.50 by 31 and we get $46.50

Therefore 31 croissants is $46.50

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3 years ago

A rectangle is dilated by a scale factor of n = 1. Which statement is true regarding the image of the dilation? O The image will

Paraphin [41]

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Answer:

The image will be congruent to the pre-image because n=1

Step-by-step explanation:

The image dimensions are the original dimensions multiplied by the scale factor. If the scale factor is 1, the image is the same size as the original, hence congruent to the pre-image.

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3 years ago

An engineer travels daily from home tothelaboratory each morning with an average commutetime of 24.6 minutes with a standard dev

charle [14.2K]

Answer:

1.74% probability that the commute takes more than 32 minutes.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 24.6, \sigma = 3.5$

a.What is the probability that the commute takes more than 32 minutes?

This is 1 subtracted by the pvalue of Z when X = 32. So:

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

$Z = \frac{32 - 24.6}{3.5}$

$Z = 2.11$

$Z = 2.11$ has a pvalue of 0.9826.

So there is a 1-0.9826 = 0.0174 = 1.74% probability that the commute takes more than 32 minutes.

7 0

3 years ago

The sum of a 3 digit number and a 1 digit number is 217. The product of the numbers is 642. If one number is between 200 and 225

algol [13]

Let, the numbers be "x" and "y". Consider "x" as the triple digit number.
Now, according to the question,
x + y = 217..........................equation (1)

x * y = 642............................equation (2)

Now,
Taking equation (2),
x * y = 642
y = 642 / x..................................equation (3)

Now, Taking equation (1),
$x+y=217$

Substituting the value of y from equation (3), we get,

$x+ \frac{642}{x} =217$

$\frac{x *x+642}{x} =217$

$x^{2} +642 =217*x$

$x^{2} +642 =217x$

$x^{2} +642-217x =0$

$x^{2} -217x+642 =0$

$x^{2} -3x-214x+642 =0$

$x(x-3)-214(x-3)=0$

$(x-3)(x-214)=0$

Using zero product property,
EITHER,
x - 3 = 0
x = 3
OR,
x - 214 = 0
x = 214
Since, "x" is the triple digit number, x = 214.
Now,
Taking equation (2),
x * y = 642
Substituting the value of "x" in the equation, we get,
(214) * y = 642
y = 642 / 214
y = 3

So, the numbers are 214 and 3.

5 0

3 years ago