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3 years ago

What does the expression x ≤ 4 mean in word form?

Mathematics

2 answers:

fiasKO [112]3 years ago

3 0

Answer:

x is less than or equal to 4

Step-by-step explanation:

lana [24]3 years ago

3 0

Answer:

x is less than or equal to 4

Step-by-step explanation:

The inequality shown is the less than or equal to sign

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The area of the triangle is 1560 m2 True False

ValentinkaMS [17]

Answer:

FALSE

Step-by-step explanation:

Area of triangle is given by formula :

$Area\ =\ \frac{1}{2}\left(base\right)\left(Altitude\right)$

From picture we see that Altitude = 60 m

Base = 52 + 71 = 123 m

Now plug these values into above formula:

$Area\ =\ \frac{1}{2}\left(123\right)\left(60\right)$

$Area\ =\ \frac{1}{2}\left(15129\right)$

$Area\ =\ \frac{15129}{2}$

$Area\ =\ 7564.5$

Which is different than given area 1560 m^2.

Hence answer is FALSE.

8 0

2 years ago

A recent national survey found that high school students watched an average (mean) of 6.8 movies per month with a population sta

Margaret [11]

Answer:

Step-by-step explanation:

Given that x = no of movies high school students watched is N(6.8, 1.8)

Sample size = 36 and hence std error = 1.8/6 = 0.3

$H_0: x bar = 6.8\\H_a: x bar < 6.8\\$

(two tailed test)

Mean difference = 6.2-6.8 = -0.6

Test statistic z = -0.6/0.3= -2

p value = 0.02275

Since p <0.05 we reject H0.

There is evidence to show that college students watch fewer movies a month than high school students

7 0

3 years ago

grade 5 math. How would I write a ratio for a project when asked to compare prices from two stores, IE 32 slices of texas toast

REY [17]

To compare, think of the ratios as a fraction. so it is 32 slices per $7.99.
You can also say $7.99 per 32 slices.
so it can be ̲7̲.̲9̲9̲ ̲ or the other way around.
32
To find the unit price, or the price of 1 item, you have to divide the price by the amount.
So 7.99 divided by 32 is 0.249687, but we don't have thousandths of a cent, so we round to the hundredth.
$0.25 is the unit price, or the price of 1 toast, rounded to the nearest cent.

So let's try another one, this time we have 2 different rates, and we will compare them.

So let's say we are buying cheese. Store A sells 12 blocks of cheese for $14.99, and Store B sells 20 blocks for $23.99.
So first we have to find the unit rate for each.

Store A Store B
14.99 per 12 23.99 per 20

 ̲1̲4̲.̲9̲9̲ ̲ ̲2̲3̲.̲9̲9̲ ̲
12 20

14.99 / 12 is 1.24916 23.99 / 20 is 1.1995
$1.25, if rounded to the cent. $1.20, if rounded to the cent
1 block is $1.25 in Store A. 1 block is $1.20 in Store B

Store B sells for cheaper.

Hope that helps.

7 0

3 years ago

Here is a triangular pyramid and its net.

galben [10]

Answer:

a) Area of the base of the pyramid = $15.6\ mm^{2}$

b) Area of one lateral face = $24\ mm^{2}$

c) Lateral Surface Area = $72\ mm^{2}$

d) Total Surface Area = $87.6\ mm^{2}$

Step-by-step explanation:

We are given the following dimensions of the triangular pyramid:

Side of triangular base = 6mm

Height of triangular base = 5.2mm

Base of lateral face (triangular) = 6mm

Height of lateral face (triangular) = 8mm

a) To find Area of base of pyramid:

We know that it is a triangular pyramid and the base is a equilateral triangle. $\text{Area of triangle = } \dfrac{1}{2} \times \text{Base} \times \text{Height} ..... (1)\\$

${\Rightarrow \text{Area of pyramid's base = }\dfrac{1}{2} \times 6 \times 5.2\\\Rightarrow 15.6\ mm^{2}$

b) To find area of one lateral surface:

Base = 6mm

Height = 8mm

Using equation (1) to find the area:

$\Rightarrow \dfrac{1}{2} \times 8 \times 6\\\Rightarrow 24\ mm^{2}$

c) To find the lateral surface area:

We know that there are 3 lateral surfaces with equal height and equal base.

Hence, their areas will also be same. So,

$\text{Lateral Surface Area = }3 \times \text{ Area of one lateral surface}\\\Rightarrow 3 \times 24 = 72 mm^{2}$

d) To find total surface area:

Total Surface area of the given triangular pyramid will be equal to Lateral Surface Area + Area of base

$\Rightarrow 72 + 15.6 \\\Rightarrow 87.6\ mm^{2}$

Hence,

a) Area of the base of the pyramid = $15.6\ mm^{2}$

b) Area of one lateral face = $24\ mm^{2}$

c) Lateral Surface Area = $72\ mm^{2}$

d) Total Surface Area = $87.6\ mm^{2}$

8 0

2 years ago

Help asap i am struggling see image for problem

MA_775_DIABLO [31]

Answer:

p = 132 - 30d

Step-by-step explanation:

Here, we can plug in x = 6 into the equation provided at the end of the problem.

p = 6[25 - (3 +5d)]

p = 150 - 18 - 30d

p = 132 - 30d

7 0

2 years ago